You will see what the calculator thinks you entered (which may be a little different to what you typed), and then a step-by-step solution. There can be more than one way to find a solution.
What is meant by solution?
Any mixture of one or more solutes that have been dissolved in a solvent is referred to as a solution. To create a homogenous mixture, a solute must dissolve in a solvent. To create a homogenous mixture, a solute must dissolve in a solvent.In chemistry, a solution is a homogeneous mixture of two or more compounds in their relative proportions. The composition of the solution can be continually changed up to the solubility limit. Although solutions of gases and solids are possible, the term "solution" is most frequently used to refer to the liquid condition of matter.A homogenous mixture of two or more components with particles smaller than 1 nm is referred to as a solution.To learn more about solution refer to
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Jessica handed out two cookies to each classmate for her birthday. She handed out over 20 cookies. The inequality 2c>20 can be used to determine the possible number of students in the class.
Which number line best represents the solution to the inequality?
Answer:
B
Step-by-step explanation:
The symbol > means greater than, so the number line points to the right
Because it is not [tex]\geq[/tex] (greater than or equal to), the circle should be open
In smithville the gas station is one of the convenience store which is located at point zero. The laundromat is 2/5 of a mile south of the gas station there is a sandwich shop that 2/5 of a mile south of the convenience store and a day care that is 3/5 of a mile south of a sandwich shop
In Smithville, the gas station is located at Point Zero and the laundromat is 2/5 of a mile south of the gas station. The sandwich shop is 2/5 of a mile south of the convenience store and the day care is 3/5 of a mile south of the sandwich shop.
All of these locations are easily accessible and provide convenience services to the local Smithville community. The gas station offers fuel and other automotive services, while the laundromat provides laundry and dry cleaning services. The sandwich shop provides quick food and snacks, while the day care offers a safe and nurturing environment for children.
All of these locations are within a close proximity to one another and provide a convenient way for the Smithville community to access essential services.
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Triangle ABC male the outline of a new park. Select all the types of triangles that describe the park?
The types of triangles that describe the park, that is, Triangle ABC are:
Equilateral triangle: If all three sides of the triangle are equal in length.Isosceles triangle: If two sides are equal in length.Scalene triangle: If all three sides have different lengths.Right triangle: If one of the angles measures 90 degrees.Acute triangle: If all angles measure less than 90 degrees.Obtuse triangle: If one of the angles measures more than 90 degrees.An equilateral triangle is a triangle where all three sides are equal in length. An isosceles triangle is a triangle where two sides are equal in length.
A scalene triangle is a triangle where all three sides have different lengths. A right triangle is a triangle where one of the angles measures 90 degrees. An acute triangle is a triangle where all angles measure less than 90 degrees. An obtuse triangle is a triangle where one of the angles measures more than 90 degrees.
For example, if the park outline is a triangle with all three sides of equal length, then the triangle would be an equilateral triangle. If the park outline is a triangle with one angle measuring more than 90 degrees, then the triangle would be an obtuse triangle.
Complete Question:
"Triangle ABC makes the outline of a new park. Select all the types of triangles that describe the park?"
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if g(x)=3 x e^x find g^-1(4)
Answer: g(0) = 4
Step-by-step explanation:
Given that, g(x) = 3 + x + ex
g'(x) = 1 + ex > 0
⇒ g(x) is an increasing function.
g(0) = 3 + 0 + e0
g(0) = 3 + 1
g(0) = 4
When g(0) = 4, the inverse of the function g(x) = 3 + x + e^x is g^-1(4) = 0.
What is function?A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depended on another quantity. A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2.
Here,
Given that, g(x) = 3 + x + e^x
g'(x) = 1 + e^x > 0
g(x) is an increasing function.
g(0) = 3 + 0 + e^0
g(0) = 3 + 1
g(0) = 4
g^-1(4) = 0
The inverse of function g(x) = 3 + x + e^x is g^-1(4) = 0 when g(0) = 4.
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The half-life of a radioactive kind of cerium is 32 days. How much will be left after 160 days, if you start with 57,728 grams of it?
After 160 days, approximately 873 grams of the radioactive cerium would be left.
How to calculate the amount of the substance leftThe half-life of the radioactive cerium is 32 days, so after each 32-day interval, half of the remaining amount will decay.
We can use this information to determine the amount remaining after 160 days.
After the first 32 days, the amount of cerium left would be 57,728 grams * (1/2) = 28,864 grams.
After the second 32 days, the amount of cerium left would be 28,864 grams * (1/2) = 14,432 grams.
Continuing this process, after 160 days, the amount of cerium left would be:
57,728 grams * (1/2)^(160/32) ≈ 873 grams
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Write an inequality represented by the graph.
Answer: y ≤ -4x - 1.
Step-by-step explanation:
Hello!
The first thing you know is that since the shaded region is to the (left) or below the line, you will have to use the symbol for equal to or less than (≤). If the line was a dotted line, then you would use the symbol (<). If the line was a dotted line and the shaded region was above or to the right of the line, then you would use the symbol (>). If the line was a regular line like in the picture and the shaded region was to the right of the line instead of to the left like in the picture, then you would use the symbol (≥).
Secondly, you know that the y-intercept is -1 and the slope is -4 using the equation (y2 - y1)/(x2 - x1) with the coordinates (0, -1) and (1, -5). Substitute this information into the slope formula, y = mx + b.
y = -4x + (-1) or y = -4x - 1
You now have the equation:
y = -4x - 1. Use the sign you figured out earlier for the equation in place of the equal sign. Here is what the final equation should look like:
y ≤ -4x - 1.
suppose that 2.3% of men and 2.8% of women have night-blindness. assume the population consists of twice as many men as women. a person is chosen at random from the population and is known to have night-blindness. what is the probability that this person chosen is a woman?
The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.
Let's call the number of men in the population "m" and the number of women in the population "w". We know that m = 2w and that 2.3% of men have night blindness and 2.8% of women have night blindness.
Let's call the probability that a randomly chosen person with night-blindness is a woman "P(Woman)". We want to find the value of P(Woman).
We can use Bayes' Theorem to solve for P(Woman). Bayes' Theorem states that:
P(A | B) = P(B | A) * P(A) / P(B)
where P(A | B) is the probability of event A given that event B has occurred, P(B | A) is the probability of event B given that event A has occurred, P(A) is the probability of event A, and P(B) is the probability of event B.
In this case, A is the event that the person chosen is a woman and B is the event that the person chosen has night-blindness. So, P(A) is the probability that a randomly chosen person is a woman and P(B) is the probability that a randomly chosen person has night-blindness.
P(A) can be calculated as follows:
P(A) = w / (m + w) = w / (2w + w) = w / (3w) = 1/3
P(B) can be calculated as follows:
P(B) = (2.3% * m + 2.8% * w) / (m + w) = (2.3% * 2w + 2.8% * w) / (3w) = (4.6% + 2.8%) * w / (3w) = 7.4% / 3
Next, we need to find P(B | A), which is the probability that a randomly chosen person has night-blindness given that the person chosen is a woman. We know that 2.8% of women have night-blindness, so:
P(B | A) = 2.8%
Finally, we can use Bayes' Theorem to find P(A | B), which is the probability that a randomly chosen person is a woman given that the person chosen has night-blindness:
P(A | B) = P(B | A) * P(A) / P(B) = 2.8% * 1/3 / (7.4% / 3) = 0.28 / 0.074 = 3.78
So, the probability that a person chosen at random from the population and known to have night blindness is a woman is approximately 3.78, or 378%.
Therefore, The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.
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The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.
Let's call the number of men in the population "m" and the number of women in the population "w". We know that m = 2w and that 2.3% of men have night blindness and 2.8% of women have night blindness.
Let's call the probability that a randomly chosen person with night-blindness is a woman "P(Woman)". We want to find the value of P(Woman).
We can use Bayes' Theorem to solve for P(Woman). Bayes' Theorem states that:
P(A | B) = P(B | A) * P(A) / P(B)
where P(A | B) is the probability of event A given that event B has occurred, P(B | A) is the probability of event B given that event A has occurred, P(A) is the probability of event A, and P(B) is the probability of event B.
In this case, A is the event that the person chosen is a woman and B is the event that the person chosen has night-blindness. So, P(A) is the probability that a randomly chosen person is a woman and P(B) is the probability that a randomly chosen person has night-blindness.
P(A) can be calculated as follows:
P(A) = w / (m + w) = w / (2w + w) = w / (3w) = 1/3
P(B) can be calculated as follows:
P(B) = (2.3% * m + 2.8% * w) / (m + w) = (2.3% * 2w + 2.8% * w) / (3w) = (4.6% + 2.8%) * w / (3w) = 7.4% / 3
Next, we need to find P(B | A), which is the probability that a randomly chosen person has night-blindness given that the person chosen is a woman. We know that 2.8% of women have night-blindness, so:
P(B | A) = 2.8%
Finally, we can use Bayes' Theorem to find P(A | B), which is the probability that a randomly chosen person is a woman given that the person chosen has night-blindness:
P(A | B) = P(B | A) * P(A) / P(B) = 2.8% * 1/3 / (7.4% / 3) = 0.28 / 0.074 = 3.78
So, the probability that a person chosen at random from the population and known to have night blindness is a woman is approximately 3.78, or 378%.
Therefore, The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.
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if a data set contains two groups that each have 40 people in them, how many rows will the "data view" have?
The "data view" of a dataset with two groups that each contain 40 people will have 80 rows.
A data set is a collection of data that is organized and processed to provide useful information. In a data set, each row represents a single observation or record. In the case where a data set contains two groups, each group represents a separate set of observations or records.
If each group has 40 people, this means that there are 40 separate observations or records in each group. Therefore, the total number of rows in the "data view" of the data set will be equal to the sum of the number of rows in each group, which is 40 + 40 = 80.So, the "data view" of a data set with two groups that each have 40 people will have 80 rows, with each row representing a single observation or record from one of the two groups.
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Given G is the incenter of triangle ABC, choose the correct lengths and angle measurements.
Using the definition of a triangle's incenter, the measurements in the triangle ABC, where G is the incenter, are as follows: GC = 20.4
What is meant by triangle?In geometry, a triangle is a three-sided polygon with three edges and three vertices. The most important feature of triangles is that their internal angles sum to 180 degrees.The polygonal shape of a triangle is made up of three edges and three vertices. It is one of the basic geometric shapes. A triangle with the vertices A, B, and C is referred to as Triangle ABC.Any three points in Euclidean geometry that are not collinear determine a singular triangle and a singular plane simultaneously.Triangle ABC's measurements are as follows using the concept of a triangle's incenter:
[tex]- $\mathrm{m} \angle \mathrm{ABG}=20^{\circ}$[/tex]
[tex]- $\mathrm{m} \angle \mathrm{BCA}=22^{\circ}$[/tex]
[tex]- $\mathrm{m} \angle \mathrm{BAC}=118^{\circ}$[/tex]
[tex]- $\mathrm{m} \angle \mathrm{BAG}=59^{\circ}$[/tex]
DG = 4
BE = 10.99
BG = 11.7
GC = 20.4
The intersection of the three angle bisectors, which split each angle vertex into two, defines the incenter of a triangle.
The incenter is a point that is at a right angle and equally distant from each of the triangle's three sides.
The measurements in the image can be determined as indicated below by applying the aforementioned properties.
- Given:
[tex]& m \angle E B G=20^{\circ} \\[/tex]
[tex]& m \angle E C G=11^{\circ} \\[/tex]
CF = 20
EG = 4
BD = 11
Find [tex]$m \angle A B G$[/tex]
[tex]$m \angle A B G=m \angle E B G$[/tex] (angle bisector definition)
- Substitute
[tex]\mathrm{m} \angle \mathrm{ABG}=20^{\circ}$$[/tex]
Find [tex]$m \angle B C A$[/tex] :
[tex]$m \angle B C A=2(m \angle E C G)$[/tex] (angle bisector definition)
- Substitute
[tex]& m \angle B C A=2(11) \\[/tex]
[tex]& \mathbf{m} \angle \mathbf{B C A}=\mathbf{2 2}^{\circ}[/tex]
Find [tex]$m \angle B A C$[/tex]
[tex]$m \angle B A C=180-(m \angle C B A+m \angle B C A)$[/tex] (sum of triangle definition)
- Substitute
[tex]& m \angle B A C=180-(40+22) \\[/tex]
[tex]& \mathbf{m} \angle \mathbf{B} \mathbf{A C}=\mathbf{1 1 8}^{\circ}[/tex]
Find [tex]$m \angle B A G$[/tex]
[tex]$m \angle B A G=\frac{1}{2}(m \angle B A C)$[/tex] (angle bisector definition)
- Substitute
[tex]& m \angle B A G=\frac{1}{2}(118) \\[/tex]
[tex]& \mathrm{m} \angle \mathbf{B A G}=\mathbf{5 9}^{\circ}[/tex]
Find DG :
DG = EG (Perpendicular bisectors of the sides of a the triangle are equal in length from the incenter of a triangle) (Perpendicular bisectors of the sides of a the triangle are equal in length from the incenter of a triangle)
- Substitute
DG = 4
Find BG:
[tex]$B G=\sqrt{B D^2+D G^2}$[/tex] (Pythagorean Theorem)
- Substitute
[tex]& B G=\sqrt{11^2+4^2} \\[/tex]
[tex]& B G=\sqrt{137} \\[/tex]
[tex]& \mathbf{B G}=11.7[/tex]
Find BE :
[tex]B E=\sqrt{B G^2-E G^2}[/tex] (Pythagorean Theorem) }
- Substitute
[tex]& B E=\sqrt{11.7^2-4^2} \\[/tex]
[tex]& B E=\sqrt{120.89} \\[/tex]
[tex]& \mathbf{B E}=\mathbf{1 0 . 9 9}[/tex]
Find GC:
[tex]$G C=\sqrt{C F^2+F G^2}$[/tex] (Pythagorean Theorem)
- Substitute
[tex]$$ GC=\sqrt{20^2+4^2}[/tex]
[tex]G C=\sqrt{416}[/tex]
GC = 20.4
In conclusion, using the definition of a triangle's incenter, the measurements of triangle ABC, where G is the incenter, are as follows:
[tex]- $\mathrm{m} \angle \mathrm{ABG}=20^{\circ}$[/tex]
[tex]- $\mathrm{m} \angle \mathrm{BCA}=22^{\circ}$[/tex]
[tex]- $\mathrm{m} \angle \mathrm{BAC}=118^{\circ}$[/tex]
[tex]- $\mathrm{m} \angle \mathrm{BAG}=59^{\circ}$[/tex]
DG = 4
BE = 10.99
BG = 11.7
GC = 20.4
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Two teams need to raise $100 each for their end-of-the-year field trips. Team A wants to sell popcorn at the Spring Fling Carnival, and Team B wants to sell cotton candy. It costs $15 to rent a popcorn machine and it costs $25 to rent a cotton candy maker. The cost of additional supplies for the popcorn is $0.05 per bag. The additional cost for the cotton candy is $0.10 per stick. Team A will sell the bags of popcorn for $0.50 each. Team B will sell the cotton candy for $0.75 per stick.
How many sticks of cotton candy will Team B need to sell to reach their goal?
Team B will need to sell a minimum of 192 candies to reach its goal.
What is a linear equation?Since each term in a linear equation has an exponent of 1, graphing an algebraic equation always yields a straight line. It is called a "linear equation" because of this.
There are linear equations with one variable and those with two variables.
Given total amount to be raised by each team is $100,
Team B wants to sell cotton candy,
rent of candy machine = $25
total cost to be earned for team B = $100 + $25 = $125
let the number of candies sold be x
cost used in each candy sticks = $0.10
cost used by x candy sticks = $0.10x
the selling price of each candy = $0.75
the selling price of x each candy = $0.75x
total gain from selling x candies = $0.75x - $0.10x
total gain from selling x candies = $0.65x
minimum candies to be sold to reach the goal
$0.65x = $125
x = 125/0.65
x = 192.30
x = 192 (approx)
Hence to reach the goal, at least 192 candies are to be sold by team B.
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at how many points on the curve x^2/5 y^2/5 = 1 in the xy-plane does the curve have a tangent line that is horizontal A. None B. One C. Two D. Three
The number of points on the curve is (a) None
How to determine the number of pointsFrom the question, we have the following parameters that can be used in our computation:
x^2/5 y^2/5 = 1
For the equation x^2/5 - y^2/5 = 1, the slope of the curve at any point is the derivative of y with respect to x,
However, the derivative of y with respect to x will never be equal to 0, which means that the curve will never have a tangent line that is horizontal.
Hence, the answer is A. None.
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3 siblings reported how long they worked out at the gym. Write the names of the siblings from shortest to the longest time
By applying the unit of time concept, it can be concluded that the order from the shortest to longest work time is Rafael, Leanne, and Ray.
A unit of time is a specific time interval, which is used as a standard way of measuring or expressing duration.
Units of time that are often used daily are hours, minutes, and seconds, where 1 hour = 60 minutes and 1 minute = 60 seconds
A report on workout time is displayed as follows:
Name Time
Rafael 75 minutes
Ray 1 3/4 hours
Leanne 1 hour 25 minutes
To sort names based on their workout time, we must first equate the time unit. For this case, we want to make them all in minutes.
Rafael: 75 minutes
Ray: 1 3/4 hours = 60 + (3/4 * 60)
= 60 + 45
= 105 minutes
Leanne: 1 hour 25 minutes = 60 + 25
= 85 minutes
Thus the order from the shortest to longest work time is Rafael, Leanne, and Ray.
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PLEASE HURRY IM GIVING BRAINIEST
construction crew needs to pave a road that is 206 miles long. The crew paves 9 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function
Answer: L= 8 miles D= 22
Step-by-step explanation:
Divided 206 by 9 get 22.8. 22 is for the days that it took the construction workers to pave the road. and 8 for 8 miles left that needs to be paved.
determine whether s is a basis for the indicated vector space. s = {(0, 4, −1), (4, 0, 3), (−8, 20, −11)} for r3
No, the set s is not a basis for R3. A basis for R3 must contain three linearly independent vectors.
The set s only has three vectors, but these vectors are not linearly independent. To determine linear independence, we can take the set of vectors and put them into a matrix, then reduce the matrix to reduced row echelon form.
Let A be the matrix whose columns consist of the vectors in s:
A =
[tex]\begin{bmatrix} 0 & 4 & -8 \\ 4 & 0 & 20 \\ -1 & 3 & -11\end{bmatrix}[/tex]
When A is reduced to row echelon form, we see that the third row of A is a linear combination of the first two rows. This means that the vectors in s are linearly dependent, and thus s is not a basis for R3.
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A candle i 22 cm long. After burning for 11 minute, the candle i 5. 5 cm long. How much time will the candle take to burn out completely at the ame rate?
The candle will take nearly 33.2 minutes to burn out completely at the same rate.
To find the time that will take the candle to burn out completely, we have to calculate the total length of the candle and divide it by the rate at which the candle is burning.
Let us take the time it takes to burn the whole candle = T.
The total length of the candle = 22 cm.
The burning rate of the candle is 22 cm - 5.5 cm = 16.5 cm per 11 minutes.
So, T = 22 cm / (16.5 cm/11 minutes) = 22 cm * 11 minutes / 16.5 cm = 33.2 minutes.
Therefore, the candle will take nearly 33.2 minutes to burn out completely at the same rate.
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Solve for x D (3x-4)° (6x) 112° F
The solution for x of the expression 3x - 4 + 6x = 112 is given as follows:
x = 12.89.
How to solve the expression?The expression for this problem is defined as follows:
3x - 4 + 6x = 112
The first step is combining the like terms at the left side of the expression, hence:
3x + 6x = 9x.
Then the expression is given as follows:
9x - 4 = 112.
Isolating the variable x, the solution for x of the expression is given as follows:
9x = 116
x = 116/9
x = 12.89.
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Find the values of x and y if triangle PQR~ triangle STU.
Answer:
x° = 54
y = 14
Step-by-step explanation:
Sum of interior angles of a triangle = 180, therefore:
79 + 16 + m∠P = 180
m∠P = 180 - 79 - 16 = 54
m∠RPQ = m∠UST = x° = 54°
64/16 = 28/(y-7) solve for y:
64(y-7) = (28)(16) = 448
y - 7 = 448/64 = 7
y = 7 + 7 = 14
Mackenzie invested $770 in an account paying an interest rate of 6. 1% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,830?
To reach $1,830, for an initial investment of $770 at a 6.1% continuously compounded interest rate, it would take approximately 7 years and 8 months.
Continuously compounded interest is a method of calculating interest on a deposit where interest is added to the original deposit as soon as it is earned, and the process is repeated continuously. This means that instead of compounding the interest once or twice a year, as with traditional compound interest, the interest is compounded an infinite number of times in each year.
The formula for continuously compounded interest is:
A = P × [tex]e^{rt}[/tex]
where A is the Accrued amount, P is the Principal amount, r is the interest rate, t is the time in years.
1,830 = 770 × [tex]e^{(0.061)(t)}[/tex]
t = ln(1,830/770) / 0.061
t = ln(2.397) / 0.061 = 7.71 years
Therefore it would take about 7.71 years or 7 years and 8 months for the value of the account to reach $1,830.
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2. Kimberly's family invested in a Certificate of Deposit (CD) for her when she was born. The interest is compounded quarterly. A. What will be the difference after 15 years if the CD is compounded semiannually rather than quarterly? b. What will be the difference after 15 years if the CD is compounded monthly rather than quarterly?
The value of the CD will be an amount of $7487.01 if it is compounded annually for 15 years.
What is Compound interest?
Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
To find the value of the CD in 5 years, you need to calculate the compound interest earned over 5 years.
The interest rate is 8% per year, so the interest rate per quarter is 8%/4= 2%.
The value of the CD at the end of each quarter can be calculated using the formula:
CD value at end of quarter = CD value x (1 + interest rate per quarter)
For example, at the end of the first quarter, the CD value would be:
CD value at end of first quarter = $3000 x (1 + 0.02) = $3060
You can repeat this process for each quarter to find the CD value at the end of 5 years.
After 5 years, there will have been 20 quarters (15 years x 4 quarters per year), so the CD value at the end of 15 years will be:
CD value at end of 15 years = $3000 x (1 + 0.02)⁶⁰ = $9843.09
To find the value of the CD if it is compounded annually for 15 years, we can use the same formula, but use the annual interest rate of 8% and the number of years of 15. The CD value at the end of 15 years will be:
CD value at end of 15 years = $3000 x (1 + 0.08)¹⁵ = $7487.01
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Lamonte needed to get hi computer fixed. He took it to the repair tore. The technicain at the tore worked on the computer for 4. 25 hour and charged him $ 141 for part. The total wa $544. 75. What wa the cot of labor, per hour?
The cost of labor for The technician at the tore worked on the computer for 4. 25 hour and charged him $ 141 for part was $95.
Lamonte needed to get hi computer fixed.
The technician at the tore worked on the computer for 4. 25 hours so
t= 4.25
Based on the formula,
Charge for Total - charge for Part
=Charge of Labor =544.75 - 141 = 403.75
Therefore, 403.75/ 4.25 will give us the value for a single time T hours.
Calculate the sum or difference:
403.75/4.25
Multiply both the numerator and denominator with the same integer:
40375/425
Cross out the common factor:
$95
A component of the wage bill or payroll known as direct labour cost can be specifically and regularly ascribed to or related with the production of a good, a specific job order, or the delivery of a service. Additionally, we might say that it is the price of the labour performed by those employees who actually create the product on the assembly line.
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Identify the real square root(s) of 0.
-2
-1
0
2
2 and -2
3 and -3
4 and 4
no real roots
Answer:
no real roots
Step-by-step explanation:
0 has one square root which is 0. Negative numbers have no square roots since a square is either positive or 0.
Problem 1. Which of the following expressions could be valid ways to calculate a distance in physics? Briefly explain why/why not for each. (Hint: Think about what kind of physical quantity each term is, and what units it carries.) (a) 2πd, where d is a position (b) x+Δr, where x is a distance and Δr is a position difference (c) x+y2, where x and y are both distances (d) x2+y2, where x and y are both distances (e) A+z, where A is an area and z is a distance (f) vΔt2, where v is a velocity and Δt is a time difference (g) aΔt2, where a is an acceleration and Δt is a time difference
All the components of the question are solved below.
(a) 2πd is not a valid expression to calculate a distance because d is not a distance, it is a position.
(b) x+Δr could be a valid expression to calculate a distance because x is a distance and Δr is a position difference, so their sum is also a distance.
(c) x+y2 is not a valid expression to calculate a distance because the units of x and y2 are not consistent with each other.
(d) x2+y2 is a valid expression to calculate a distance because both x and y are distances and their sum squared represents the Pythagorean theorem, which is commonly used to calculate distances in physics.
(e) A+z is not a valid expression to calculate a distance because A is an area and z is a distance, so their sum does not have a physical interpretation as a distance.
(f) vΔt2 is not a valid expression to calculate a distance because v is a velocity and Δt is a time difference, so their product does not have a physical interpretation as a distance.
(g) aΔt2 is a valid expression to calculate a distance because a is an acceleration and Δt is a time difference, and their product represents the displacement of an object under constant acceleration, which is a distance.
Therefore, all the components of the question are solved above.
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The ratio of corn to beef to rice is 5:2:7. Assuming that you have 4.9kg of rice, how many kilograms of corn and beef will you need?
Using the ratios we know that the required kilograms of corn and beef is 3.5kg and 1.4kg respectively
What are ratios?A ratio in mathematics demonstrates how many times one number is present in another.
For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
Ratios contrast two figures by ordinarily dividing them.
A/B would be your formula if you were comparing one data point (A) to another data point (B).
This indicates that you are multiplying information A by information B.
For instance, your ratio will be 5/10 if A is 5 and B is 10.
So, we have the ratio:
corn:beef:rice = 5:2:7
Rice is 4.9kg.
We know that 5+2 = 7.
Then,
4.9/7 = 0.7
Corn: 0.7 * 5 = 3.5kg
Beef: 0.7 * 2 = 1.4kg
Therefore, using the ratios we know that the required kilograms of corn and beef is 3.5kg and 1.4kg respectively
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A company total ale (in million of dollar) t month from now are given by S(t)=2√10 a) Find S(15) and S’(15) Write a brief verbal interpretation of thee reult. B) Ue the reult in part (a) to etimate the total ale after 16 month and after 17 month
The total sale after 15 months is 30 million and the rate of change in total sales every month is 2√10 million dollars.
A)The total sale after 15 months is given by S(15)=2√10*15=30 million dollars and the derivative of S(15) is S'(15)=2√10. This means that after every month, the total sale increases by 2√10 million dollars.
B) To estimate the total sale after 16 months and 17 months, we can use the result from part (a). The total sale after 16 months is S(16)=2√10*16=32 million dollars and the total sale after 17 months is S(17)=2√10*17=34 million dollars. Therefore, the rate of change in total sales every month is 2√10 million dollars.
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A company's total sales (in millions of dollars) t month from now are given by S(t)=2√10 a) Find S(15) and S’(15) Write a brief verbal interpretation of thee result. B) Use the result in part (a) to estimate the total ale after 16 months and after 17 months
the empirical rule applies to distributions that are
In mathematics, the empirical rule speaks that, in a normal data set, nearly every piece of data will fall within three standard deviations of the mean. The mean is the average of all of the numbers within the set.
The empirical rule advance about because the same shape of distribution curves continued to appear over and over to statisticians.
approximately normal, meaning that the data follows a bell-shaped curve regular around the mean.
The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.
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An invertible function is represented by the values in the table. x −3 −2 −1 0 1 2 3 f(x) −6.4 −2.6 −1.2 −1 −0.8 0.6 4.4 Which graph shows the inverse of this function?
The graph of the function is f⁻¹ ( x ) is plotted
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the x values of the function be represented as
x = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }
Let the y values of the function be represented as
y = { -6.4 , -2.6 , -1.2 , -1 , -0.8 , 0.6 , 4.4 }
The value of the equation is plotted in the graph
Now , the inverse function is f⁻¹ ( x ) , you basically swap the numbers, all x values would equal y
So , y = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }
And , x = { -6.4 , -2.6 , -1.2 , -1 , -0.8 , 0.6 , 4.4 }
Hence , the graph is plotted and the function is f⁻¹ ( x )
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sindi covers 72 km in 6 hours and 15 minutes on her racing bike calculate her average speed
Answer: 11.25 kmph or 6.99 mph
Step-by-step explanation:
take the speed equation s=d/t (speed equals distance over time)
s=72/6.4 (15 min is 0.4 of an hour)
your final answer will be S= 11.25 kilometers per hour or 6.99 miles per hour
What is the present value of $10,000 per year in perpetuity at an interest rate of 10%?
A.$10,000
B.$100,000
C.$200,000
D.$1,000PV
The present value of $10,000 per year in perpetuity at an interest rate of 10% is $100,000. Therefore, correct answer will be B.$100,000.
This is because the present value of an annuity, or a series of payments, is equal to the sum of the present value of each payment. In this case, the payment is $10,000 and the interest rate is 10%. Therefore, the present value of each payment is $10,000/(1+0.1)^1, which is $9,090.
Since the payments are perpetual, the present value of the annuity is equal to the present value of each payment multiplied by the number of payments, which is infinite. Therefore, the present value of the annuity is $9,090 multiplied by infinity, which is $100,000.
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Rectangle LMNO is dilated by a scale factor of 6 to form rectangle L'M'N'O'. Side N'O' measures 24. What is the measure of side NO?
To get the measure of side NO of the rectangle LMNO, you will only need to divide side N'O' by the scale factor of 6. Then you'll get 4, which is the actual measure of side NO.
Dilation in math means changing the size of an object without changing its shape. The size of the object may be decreased or increased based on the scale factor. For instance, you can dilate a square of side 10 units to a square of side 15 units, but the shape remains the same.
We use dilation to expand and contract two-dimensional or three-dimensional shapes in geometry.
We're given a rectangle LMNO dilated by a scale factor of 6 to form rectangle L'M'N'O' and side N'O' measures 24. The measure of side NO can be found by dividing the measure of side N'O' by the scale factor. 26 : 6 = 4, so 4 is the measure of side NO.
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give an equation for the compressed graph. y=1−x3, compressed horizontally by a factor of 5.
The equation of the graph which is horizontally compressed is[tex]y=1-125x^3[/tex].
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here the given graph equation is y = 1-[tex]x^3[/tex] .
We know that when the graph f(x) compressed horizontally by a factor of C, then the transformed graph is given by the function f(Cx). Then
So, when the graph [tex]y=1-x^3[/tex] is compressed horizontally by a factor of 5 then,
=> y = [tex]1-(5x)^3[/tex]
=> [tex]y=1-125x^3[/tex]
Hence the compressed graph is [tex]y=1-125x^3[/tex].
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