Answer: n= -48 and h=6
Step-by-step explanation:
For the first one,
-36=3/4 n.
So, divide both sides by 3/4.
-36/(3/4)= -48.
Plug into original equation to double check the answer is -48.
3/4(-48)= -36
For the second one, 2/3h +14= 18
subtract 14 from both sides.
2/3h= 4
Now, divide both sides by 2/3 to get you h=6.
Same as the first one, plug into the original equation. h is in fact 6! yay!
Circle F is centered at the origin. If the radius of circle Q is 7, which of the following statements is TRUE?
Circle on grid
A.) If the distance from the origin to a given point is 7, then that point lies on circle F.
B.) If the distance from the origin to a given point is less than 7, then that point lies outside circle F.
C.) If the distance from the origin to a given point is greater than 7, then that point lies on circle F.
D.) If the distance from the origin to a given point is greater than 7, then that point lies inside circle F.
Answer:
The statement that is true is B. This can be determined by using the information from openstax.org, which states that the measure of an angle is the amount of rotation from the initial side to the terminal side. Since the radius of circle Q is 7, any point with a distance from the origin that is less than 7 will lie outside of circle F.
Step-by-step explanation:
2. which of the following is not a categorical variable? a. the mileage of a car b. a person's gender c. the make of a laptop d. whether a person is a college graduate
The correct answer is option a). The variable "the mileage of a car" is not a categorical variable.
A categorical variable, also known as a nominal variable, is a variable that can be divided into categories or groups. These categories can be any non-numeric values such as names, labels, or yes/no answers.
The variables "a person's gender," "the make of a laptop," and "whether a person is a college graduate" are all examples of categorical variables because they can be divided into categories such as "male," "female," "Dell," "HP," "yes," and "no."
However, the variable "the mileage of a car" is not a categorical variable because it is a numeric variable that represents a specific numerical value, such as the number of miles a car has driven. Unlike categorical variables, numeric variables can be ordered, compared, and manipulated mathematically.
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Write the slope-intercept form of the ec
3x-2y=-16
The equation in the slope-intercept form is:
y = 8 + (3/2)x
How to write the line in the slope-intercept form?Herewe have the linear equation:
3x - 2y = -16
And we want to write it in the slope-intercept form.
To do that, we need to isolate the variable y.
We will get:
3x - 2y = - 16
-2y = -16 - 3x
y = (-16/-2) + (-3/-2)x
y = 8 + (3/2)x
That is the equation written in the slope-intercept form.
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A science class is planning a field trip to the zoo. The zoo offers a special
rate of $135. 00 for 15 students and $7. 50 for each additional student.
What is the cost of admission for a group of 26 students?
Total amount of admission fee for the group of 26 students is 82.5$+135$ which is equal to 217.5 dollars.
There are a total of 26 students and the special offer is valid up to 11 students only.
Each of the 15 students will have to pay $135 as a special offer.
There are 11 more students, nevertheless, in addition to the great offer.
Each student paid an additional 7.5 dollars.
Therefore, the cost for 11 students is 11*(7.5$)=82.5$.
The total fee that is now owing is 82.5 + 135 dollars, which is equivalent to 217.5 dollars.
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Which expressions are equivalent to 3 ·· 4 a(16b 1 24)? Choose all the correct answers. A 12ab 1 18a B 6(2ab 1 3a) C 12ab 1 24 D 16b 1 18a E 2a(6b 1 9)
The equivalent expression is 192ab + 288a
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
3 ·· 4 a(16b 1 24
Express properly
So, we have
3 ·· 4 a(16b + 24)
Open the bracket
12a(16b + 24)
This gvves
192ab + 288a
Hence, the exrpession is 192ab + 288a
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A bride and groom are planning for their wedding. They plan to rent a mixture of round tables and square tables for the reception. The cost for either table is $10. Round tables can seat 6 people and square tables can seat 8. They expect at least 260 guests to attend. Their budget permits them to spend at most $400 on table rental. Can they use 26 of one type and 14 of the other?
Answer:
Step-by-step explanation:
To determine if they can use 26 of one type and 14 of the other, we need to calculate the cost for each scenario and compare it to their budget of $400.
If they use 26 round tables, it would cost 26 * $10 = $260.
And if they use 14 square tables, it would cost 14 * $10 = $140.
The total cost would be $260 + $140 = $400, which is equal to their budget.
Now, we need to make sure that they can seat all the guests with the tables they plan to rent.
If they use 26 round tables, they can seat 26 * 6 = 156 guests.
And if they use 14 square tables, they can seat 14 * 8 = 112 guests.
The total number of guests they can seat would be 156 + 112 = 268.
since they expect at least 260 guests to attend and they can seat 268 guests, the table rental plan of 26 round tables and 14 square tables is feasible both financially and in terms of seating capacity.
Find the base of a triangle with a height of 12 in and an area of 24 square inches. **How do I set it up? **
Answer: Brainliest Award pls
To find the base of a triangle with a given height and area, you can use the formula for the area of a triangle:
Area = (base * height) / 2
So, you can set up the equation:
24 = (base * 12) / 2
Solving for the base:
24 * 2 / 12 = base
base = 48 / 12 = 4
So, the base of the triangle is 4 inches.
Step-by-step explanation:
To find the base of a triangle with a given height and area, you can use the formula for the area of a triangle:
Area = (base * height) / 2
So, you can set up the equation:
24 = (base * 12) / 2
Solving for the base:
24 * 2 / 12 = base
base = 48 / 12 = 4
So, the base of the triangle is 4 inches.
Does anyone have general Algebra 1 Quadratics tips? Anything appreciated.
Answer:
I got you
1. Use a calculator (its ur bestie fr fr)
2. Organization is key it might help with solving the problems
3. Ask someone or a teacher if you don’t understand
4. Remember COMBINE LIKE TERMS (ex: x+3x)
Step-by-step explanation:
Quadrilateral TEST is a trapezoid with coordinates at T(-3, 0), E(-2, 3), S(4, 3), and T(5, 0). Find the length of the midsegment of the trapezoid.
the length of the midsegment of the trapezoid will be √58.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, Quadrilateral TEST is a trapezoid with coordinates at T(-3, 0), E(-2, 3), S(4, 3), and T(5, 0),
Its, diagonal or midsegment will be TS or ET'
From the formula of the distance between two coordinates:
D = √((x -x')² + (y - y')²)
Thus,
TS = √((-3 - 4)² + (0 - 3)²)
TS = √49 + 9
TS= √58
Since TEST' is a trapezoid thus its Diagonal will be the same TS = ET'
Therefore, the length of the midsegment of the trapezoid will be √58.
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A, B & C form the vertices of a triangle. CAB = 90°, ABC = 55° and AB = 9.4. Calculate the length of BC rounded to 3 SF.
Recall that in Problem 3 of the reading questions for Section 2.1, you found that if f(x) = ln(x), then f'(2) = 1/2. Use this to find a formula for the tangent line to f(x) = ln(x) at x = 2.y = ___
The formula for the tangent line to f(x) = ln(x) at x = 2 is: y = (1/2)(x - 2) + ln(2)
The tangent represents the supplied function's instantaneous rate of change at a location.
The slope of the tangent at a location equals the function's derivative at the same position. The tangent slope of a function y = f x is d y d x.
The tangent and normal equations may be determined using the coordinate geometry formal of point-slope form.
The tangent equation is (y - y1) = m(x - x1), while the normal equation, passing through this same point and perpendicular to the tangent, is (y - y1) = -1/m (x - x1).
The formula for the tangent line to the function f(x) = ln(x) at x = 2 is given by:
y = f'(2)(x - 2) + f(2)
Plugging in the value f'(2) = 1/2 and f(2) = ln(2), we get:
y = (1/2)(x - 2) + ln(2)
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how many centimeters are there in a length 26.2 inches ? express your answer in centimeters to three significant figures
Answer: 66.548
Step-by-step explanation: 26.2 in = 66.548 so that is how I got my elegant marvelous answer
Thelma and Louise ordered take-out from Belle Taco. Thelma ordered 2 tacos and 1 burrito and paid $3. 79. Louise ordered 2 burritos and 1 taco and paid $4. 58.
Find the cost for 1 of each of these items
The cost of a taco and burrito respectively $1.70 and $0.40.
Let x be the cost of a taco and y be the cost of a burrito.
From the first given information, Thelma ordered 2 tacos and 1 burrito and paid $3.79. So we can write an equation:
2x + y = 3.79
From the second given information, Louise ordered 2 burritos and 1 taco and paid $4.58. So we can write another equation:
2y + x = 4.58
To find x and y, we need to solve the system of linear equations. One way to do this is by using the elimination method. We can subtract the first equation from the second to eliminate x:
2y = 0.79
y = 0.395
Now that we have y, we can substitute it back into the first equation to find x:
2x + 0.395 = 3.79
2x = 3.395
x = 1.698
So the cost of a taco is $1.70 and the cost of a burrito is $0.40.
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if g(2)=12 and g'(x)≥1/2 for 2≤x≤6, what is the smallest value g(6) can be? why?
If g(2) = 12 and g'(x) ≥ 1/2 for 2 ≤ x ≤ 6, the smallest value g(6) can be g(6) ≥ 14.
g(2) = 12 and g'(x) ≥ 1/2 for 2 ≤ x ≤ 6.
From the mean value theorem we know that if at [2, 6] g(x) is continuous as well as differentiable then there exists (2, 6) as
{g(6) - g(2)}/(6 - 2) = g'(x)
As we know that g'(x) ≥ 1/2, so
{g(6) - g(2)}/(6 - 2) ≥ 1/2
Now simplify
{g(6) - g(2)}/4 ≥ 1/2
As g(2) = 12, now put the value
{g(6) - 12}/4 ≥ 1/2
Multiply by 4 on both side, we get
g(6) - 12 ≥ 2
Add 12 on both side, we get
g(6) ≥ 14
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There are two tap attached to a citern. The firt tap alone can empty the tank in 4
hour. If both the tap are opened together the tank i emptied in 1 hour. How long will the econd tap alone will take to empty the
tank?
3 hours to take second tap alone empty the tank.
What is the formula for time and work?The definition of work efficiency is "How much work (given in percentage) one person can perform in one day." One can complete a task, for instance, in two days. He can complete 50% of the work in one day, to put it another way. His effectiveness will be 50% as a result.Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. Time Taken = 1 / Rate of Work. If a piece of work is done in x number of days, then the work done in one day = 1/x.Work can be calculated by multiplying Force and Distance in the direction of force as follows W = F × dtime = distance ÷ speed.Given data :
Time taken by tap A to empty the tank = 4 hours
Work done by tap A in 1 hour = [tex]\frac{1}{4}[/tex]
Time taken to empty the tank by both taps = 1 hours
Time taken to empty the tank by tap B = Total time taken - time taken by A
=4 - 1 = 3
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ravi rented a truck for one day. there was a base fee of 14.99 , and there was an additional charge of 89 cents for each mile driven. ravi had to pay when he returned the truck. for how many miles did he drive the truck?
The problem states that Ravi rented a truck for one day and there was a base fee of $14.99 and an additional charge of 89 cents for each mile driven. The goal is to find the number of miles that Ravi drove the truck.
We can start by using an equation to represent the total cost of renting the truck. Let's call the number of miles driven "m". The total cost can be expressed as:
14.99 + 0.89m
The first part of the equation (14.99) represents the base fee and the second part (0.89m) represents the additional charge for each mile driven.
Next, we can use the information given in the problem to solve for m. We know that Ravi had to pay a total of $14.99 when he returned the truck, so we can set up the following equation:
14.99 + 0.89m = 14.99
Solving for m, we can subtract 14.99 from both sides:
0.89m = 0
Finally, we can divide both sides by 0.89 to find the value of m:
m = 0
So, Ravi drove the truck for 0 miles. This means that either he did not drive the truck at all, or the number of miles driven was so small that it was rounded down to 0 miles.
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Consider the two functions shown below. Assume the blue line represents afx) and the pink line represents b(x). Which statement is true about these functions at x-3? O O 2 (3) (3) but (3) = (3) and 3 O (3) -(3) but O a(3) (3) and O I DON'T KNOW YET
The statement that is true about these functions at x = 3 is that a(3) = b(3).
At x = 3, the value of a(x) is equal to the value of b(x) because the lines representing the two functions intersect at x = 3. Therefore, a(3) = b(3).
The two functions shown, a(x) and b(x), intersect at x = 3. This means that the values of the two functions are equal at x = 3. Therefore, a(3) = b(3).
The two functions, a(x) and b(x), represent mathematical expressions that can be graphed on a coordinate plane. When two lines intersect, they meet at exactly one point. In this case, the lines representing the two functions intersect at x = 3. This means that the two functions have the same value at x = 3. Therefore, a(3) is equal to b(3), which can be mathematically expressed as a(3) = b(3). This is an important property of intersecting lines and is commonly used in mathematics, engineering, and other related fields. It provides a way to find the common value between two functions at a specific point.
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How many feet in a fathom ?
Answer:
6 feet
Step-by-step explanation:
7. Statistics is a branch of mathematics that deals with
A. graphing functions on a coordinate plane.
B. using artificial intelligence to make predictions.
C. collecting data about the world.
O D. the properties of shapes and space.
Statistics is a branch of mathematics that deals with collecting data about the world. Hence, option C is the correct answer.
What is statistics?The study of data gathering, analysis, interpretation, presentation, and organization is known as statistics. In other words, gathering and summarizing data is a mathematical discipline. Additionally, statistics might be considered a subfield of applied mathematics. However, uncertainty and variation are two crucial and fundamental concepts in statistics. Only statistical analysis can determine the uncertainty and variation in many sectors. The probability, which is a key concept in statistics, essentially determines these uncertainties.
According to the definition of statistics; the study of data gathering, analysis, interpretation, presentation, and organization is known as statistics.
Hence, statistics is a branch of mathematics that deals with collecting data about the world. Hence, option C is the correct answer.
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First make a substitution and then use integration by parts to evaluate the integral. (Use C for the constant of integration.) ∫9 cos√x dx
The required value of the integral is 9x^(1/2) cos√x - (1/2) ∫9 sin√x x^(-1/2) dx
What is integration?When different individuals or objects are brought together, such as when all of the district's elementary school children attend the new middle school or when snowboarding is introduced to all ski slopes, integration takes place.
According to question:The general formula for integration by parts is ∫u dv = uv - ∫v du. Choosing u = cos√x and dv = 9 dx, we have:
du = (1/2) sin√x dx and v = 9x^(1/2)
Therefore, the integral becomes:
∫9 cos√x dx = 9x^(1/2) cos√x - (1/2) ∫9 sin√x x^(-1/2) dx
This can be further simplified if desired, but this is the result obtained by using integration by parts.
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Use the distributive property to write an expression that is equivalent to 2s 1 3s with 2 as the exponent
The equivalent expression of the given expression is 6s^2
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
2s 1 3s
Rewrite the expression properly
So, we have the following representation
2s * 3s
Evaluate the product
So, we have the following representation
6s^2
Hence, the equivalent expression is 6s^2
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A regular hexagon is dilated by a scale factor of 7575 to create a new hexagon. How does the perimeter of the new hexagon compare with the original perimeter?.
The perimeter of the new hexagon is 7575 times greater than the original perimeter.
New Hexagon Perimeter ComparisonHere are the steps to compare the perimeters of a regular hexagon after dilation by a scale factor of 7575:
Find the original perimeter: To find the perimeter of a regular hexagon, multiply the number of sides by the length of one side. A regular hexagon has 6 sides, so the perimeter is 6 times the length of one side.Dilate the hexagon: A dilation by a scale factor of 7575 means that each length is multiplied by 7575. So, the new length of one side of the hexagon is 7575 times the original length of one side.Find the new perimeter: Multiply the number of sides by the new length of one side to find the new perimeter.Compare the perimeters: The new perimeter is 7575 times greater than the original perimeter.Learn more about New Hexagon Perimeter Comparison here:
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What is two rays sharing a common endpoint?A)angleB)circleC)triangleD)line segment
An angle is the two rays sharing a common endpoint.
What is an angle in math?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.Learn more about an angle refer to ;
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For each of the professions in the left column, calculate the annual pay based on
full-time, year-round employment consisting of 2,000 hours a year (40 hours per
week for 50 weeks per year). Record your calculations under "Annual income in
the table. Then, find the difference between each annual wage figure and a) the
poverty threshold and b) the median household income. If the difference is a
negative number, record it as such. (30 points)
Hourly wage
Annual
income
Difference
between
annual wage
and federal
Difference
between
annual wage
and median
household
income
poverty line
$7. 25
Federal
minimum
wage
California's
minimum
wage
$8. 00
$55. 65
Marketing
managers
Police officers $27. 40
$9. 38
Child-care
workers
It is clear that even with full-time, year-round employment at the federal minimum wage, the annual income is still below the poverty line. California's minimum wage provides slightly better wages, but it still remains below the poverty line.
Annual income:
Federal minimum wage: $15,080
California's minimum wage: $16,640
Marketing managers: $110,000
Police officers: $55,680
Child-care workers: $14,500
Difference between annual wage and federal poverty line:
Federal minimum wage: -$10,470
California's minimum wage: -$8,910
Marketing managers: $55,000
Police officers: $8,550
Child-care workers: -$10,830
Difference between annual wage and median household income:
Federal minimum wage: -$57,040
California's minimum wage: -$49,560
Marketing managers: $45,000
Police officers: $420
Child-care workers: -$63,010
However, child-care workers' annual income is still well below the poverty line and the median household income. This highlights the importance of providing a living wage for all workers, especially those in low-wage industries.
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ill give brain list if correct
Answer:
Y=5x+2
first find the rise over run (slope) (m value in the y=mx+b equation) you do this by using your table. notice how much the y side rises by (5) and how much the x side runs by (1) the slope is 5/1 (5) the y-intercept is 2, we know this from the table.
the charge entering a certain element is shown in the figure below. find the current at: t = 1ms, 6ms, 10ms.
At t = 10ms, the current can be found by substituting t=10 into the given equation for the current: [tex]I(t) = 5e^(-t/6). This gives I(10) = 5e^(-10/6) = 0.25 A.[/tex]
[tex]I(t) = 5e^(-t/6)[/tex]
[tex]At t = 1ms: I(1) = 5e^(-1/6) = 3.26 AAt t = 6ms: I(6) = 5e^(-6/6) = 0.77 AAt t = 10ms: I(10) = 5e^(-10/6) = 0.25 A[/tex]
At t = 1ms, the current can be found by substituting t=1 into the given equation for the current: [tex]I(t) = 5e^(-t/6).[/tex] This gives [tex]I(1) = 5e^(-1/6) = 3.26 A.[/tex]
At t = 6ms, the current can be found by substituting t=6 into the given equation for the current: [tex]I(t) = 5e^(-t/6)[/tex]. This gives [tex]I(6) = 5e^(-6/6) = 0.77 A.[/tex]
At t = 10ms, the current can be found by substituting t=10 into the given equation for the current: [tex]I(t) = 5e^(-t/6)[/tex]. This gives [tex]I(10) = 5e^(-10/6) = 0.25 A.[/tex]
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Rhonda and Amir are both shopping for sunglasses. Use the drop-down menus to complete the statements about Rhonda's and Amir’s purchases
Answer: hola
Step-by-step explanation:
3.) Make up a word problem for this expression. 3(8a + 5c + 6e)
Answer: A math teacher writes 3(8a + 5c + 6e) on the board and asks her students to simplify the expression. If a student has values of a = 2, c = 3, and e = 4, what is the result of simplifying the expression?
Step-by-step explanation:
Wonderful widgets inc. has developed electronic devices which work properly with probability 0.95, independently of each other. the new devices are shipped out in boxes containing 400 each.
1. What percentage of boxes contains 390 or more working devices?
The problem involves calculating the probability of having 390 or more working devices in a box of 400 electronic devices, where each device works properly with a probability of 0.95. This type of problem can be solved using the binomial distribution.
The binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials. In this case, each device working properly can be considered as a Bernoulli trial with success probability 0.95. The total number of trials (i.e. devices) is 400.
Using the binomial distribution, we can calculate the probability of having exactly k successful outcomes (i.e. working devices) in n trials (i.e. devices). This probability is given by the formula:
P(k) = ([tex]{n}_C_{k}[/tex]) * p^k * (1-p)^(n-k)
where (n choose k) is the binomial coefficient, p is the success probability, and (1-p) is the failure probability.
To calculate the probability of having 390 or more working devices, we need to sum the probabilities of having 390, 391, 392, ..., 400 working devices:
P(390 or more) = P(390) + P(391) + ... + P(400)
This can be calculated using a binomial distribution calculator or by writing a program to calculate the binomial coefficient and probability for each value of k.
Finally, to express the result as a percentage, we need to multiply the probability by 100.
In conclusion, the percentage of boxes containing 390 or more working devices can be calculated using the binomial distribution, which models the number of successful outcomes in a fixed number of independent Bernoulli trials.
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they decide to each play 101010 attempts and calculate the sample mean of how many rounds they survive. they will then look at the difference in their sample means
The formula for calculating the sample mean is to take the sum of the values divided by the total number of values.
In this case, the two players would take the sum of the number of rounds they survived in their 101010 attempts, and then divide that sum by 101010. That would give them their individual sample means for the number of rounds survived.
To calculate the difference in the sample means of two players playing 101010 attempts, we can first calculate the sample mean of each player. This can be done by taking the sum of all attempts and then dividing that by the number of attempts. For example, if Player 1 had 5 attempts and survived 3 rounds, the sample mean would be 3/5 or 0.6. If Player 2 had 8 attempts and survived 4 rounds, the sample mean would be 4/8 or 0.5. We can then subtract the sample mean of Player 1 from the sample mean of Player 2 to get the difference in the sample means, which in this example would be 0.6 - 0.5 = 0.1.
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