Greetings from Brasil...
We have to remember 2 details:
→ When X = 0, the function intersects the Y axis
→ When Y = 0, the function intersects the X axis
So
1: X = 0
Y = X + 5
Y = 0 + 5
Y = 5
X = 0 and Y = 5 ⇔ (0; 5)
2: Y = 0
Y = X + 5
0 = X + 5
X = - 5
Y = 0 and X = - 5 ⇔ (- 5; 0)
Then the point at which the graph intersects the X and Y axis will be
(0; 5) and (- 5; 0)
2. Which scales are equivalent to 1 inch to 1 foot? Select all that apply.
A. 1 to 12
B. 1 to 1
C. 100 to 0.12
. D. 5 to 60
E. 36 to 3
F. 9 to 108
Answer:
A option is correct
Step-by-step explanation:
We know that one foot contain 12inches so 12 inches is equal to one foot
There are 36 inches is equivalent to 3 feet which scales is the correct answer would be option (E).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We know that one foot contains 12 inches.
Therefore 12 inches equal one foot
According to option (E),
36 inches is equivalent to 3 feet.
Therefore, the correct answer would be an option (E).
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Find the heigt and width of the box. PLEASE HELP I’m having a lot of trouble on this.
Answer:
The height and width are both 12 inches.
Step-by-step explanation:
2304/16=144
√144=12
A graphing calculator is recommended. A function is given. g(x) = x4 − 5x3 − 14x2 (a) Find all the local maximum and minimum values of the function and the value of x at which each occurs. State each answer rounded to two decimal places.
Answer:
The local maximum and minimum values are:
Local maximum
[tex]g(0) = 0[/tex]
Local minima
[tex]g(5.118) = -350.90[/tex]
[tex]g(-1.368) = -9.90[/tex]
Step-by-step explanation:
Let be [tex]g(x) = x^{4}-5\cdot x^{3}-14\cdot x^{2}[/tex]. The determination of maxima and minima is done by using the First and Second Derivatives of the Function (First and Second Derivative Tests). First, the function can be rewritten algebraically as follows:
[tex]g(x) = x^{2}\cdot (x^{2}-5\cdot x -14)[/tex]
Then, first and second derivatives of the function are, respectively:
First derivative
[tex]g'(x) = 2\cdot x \cdot (x^{2}-5\cdot x -14) + x^{2}\cdot (2\cdot x -5)[/tex]
[tex]g'(x) = 2\cdot x^{3}-10\cdot x^{2}-28\cdot x +2\cdot x^{3}-5\cdot x^{2}[/tex]
[tex]g'(x) = 4\cdot x^{3}-15\cdot x^{2}-28\cdot x[/tex]
[tex]g'(x) = x\cdot (4\cdot x^{2}-15\cdot x -28)[/tex]
Second derivative
[tex]g''(x) = 12\cdot x^{2}-30\cdot x -28[/tex]
Now, let equalize the first derivative to solve and solve the resulting equation:
[tex]x\cdot (4\cdot x^{2}-15\cdot x -28) = 0[/tex]
The second-order polynomial is now transform into a product of binomials with the help of factorization methods or by General Quadratic Formula. That is:
[tex]x\cdot (x-5.118)\cdot (x+1.368) = 0[/tex]
The critical points are 0, 5.118 and -1.368.
Each critical point is evaluated at the second derivative expression:
x = 0
[tex]g''(0) = 12\cdot (0)^{2}-30\cdot (0) -28[/tex]
[tex]g''(0) = -28[/tex]
This value leads to a local maximum.
x = 5.118
[tex]g''(5.118) = 12\cdot (5.118)^{2}-30\cdot (5.118) -28[/tex]
[tex]g''(5.118) = 132.787[/tex]
This value leads to a local minimum.
x = -1.368
[tex]g''(-1.368) = 12\cdot (-1.368)^{2}-30\cdot (-1.368) -28[/tex]
[tex]g''(-1.368) = 35.497[/tex]
This value leads to a local minimum.
Therefore, the local maximum and minimum values are:
Local maximum
[tex]g(0) = (0)^{4}-5\cdot (0)^{3}-14\cdot (0)^{2}[/tex]
[tex]g(0) = 0[/tex]
Local minima
[tex]g(5.118) = (5.118)^{4}-5\cdot (5.118)^{3}-14\cdot (5.118)^{2}[/tex]
[tex]g(5.118) = -350.90[/tex]
[tex]g(-1.368) = (-1.368)^{4}-5\cdot (-1.368)^{3}-14\cdot (-1.368)^{2}[/tex]
[tex]g(-1.368) = -9.90[/tex]
The breaking strength of hockey stick shafts made of two different graphite-Kevlar composites yield the following results (in newtons):
Composite A: 487.3 444.5 467.7 456.3 449.7 459.2 478.9 461.5 477.2
Composite B: 488.5 501.2 475.3 467.2 462.5 499.7 470.0 469.5 481.5
485.2 509.3 479.3 478.3 491.5
Assuming normality, can you conclude that the mean breaking strength is smaller for hockey sticks made from composite B by at least 2 newtons? Carry out the appropriate test by hand.
Answer:
We reject H₀
we don´t have evidence to claim the strength of composite B is smaller than the strength of composite B by at least 2 [N]
Step-by-step explanation:
From data, we calculate μ₁, s₁ and, μ₂, s₂ mean and standard deviation of samples A and B respectively
μ₁ = 464,7 s₁ = 13,42 Composite A
μ₂ = 479,49 s₂ = 13,38 Composite B
n₁ ; n₂ < 30 then we should use t -student table
Test Hypothesis:
Null Hypothesis H₀ μ₂ - μ₁ >= 2
Alternative Hypothesis Hₐ μ₂ - μ₁ < 2
Assuming CI 95 % α = 5 % α = 0,05 and degree of freedom is
df = n₁ + n₂ - 2 df = 9 + 9 - 2 df = 16
Then for a one tail test t(c) = 1,746 and to compte t(s)
t(s) = ( μ₂ - μ₁ - 2 ) / sp * √ 1/n₁ + 1/n₂
sp² = ( n₁ - 1 )*s₁² + ( n₂ - 1 )*s₂² / n₁ + n₂ - 2
sp² = 8 * (13,42)² + 8 * (13,38)² / 16
sp² = (8 * 180,1 + 8 * 179) / 16
sp² = 179,55
sp = 13,40
then
t(s) = ( 479,49 - 464,7 - 2 ) / 13,40*√1/9 +1/9
t(s) = 12,79 / 13,40*0,4714
t(s) = 12,79/6,32
t(s) = 2,02
t(s) > t(c)
2,02 > 1,746
t(s) is in the rejection region, therefore we reject H₀ we don´t have evidence to claim the strength of composite B s smaller than the strength of composite B by at least 2 [N]
Classify the data as qualitative or quantitative. If qualitative then classify it as ordinal or categorical, and if quantitative then classify it as discrete or continuous. Variable Height (in inches) Grade (ABCDF) Weight (exact) Color Data Type a Quantitative Continuous b Quantitative Discrete c Qualitative Categorical d Qualitative Ordinal
Answer:
Explained below.
Step-by-step explanation:
Qualitative variables are categorized or labelled to belong to a certain category or group.
There are two types of qualitative variables, Categorical and ordinal.
Categorical variable are those variables that are labelled in non-numeric or numeric form, where the numbers have no value. The order also does not matters. For example, the number on the jerseys of football players. It is not necessary that the player number 1 is actually the best player.
Ordinal variables are those variables where the label or category has to be in order. For example, the rank of students in the statistics class.
Quantitative variables are in numerical form and can be measured.
There are two types of quantitative variables, discrete and continuous.
Discrete variables are those variables that assume finite and specific value. For example, the number of girls in each section of a school.
Continuous variables are those variables that can assume any number of values between a specific interval. For example, the time it takes to reach point B from A.
Variable Category Sub-Category
Height Quantitative Continuous
Grade Qualitative Ordinal
Weight Quantitative Continuous
Color Qualitative Categorical
In May 1998, forest fires in southern Mexico and Guatemala spread smoke all the way to Austin. Those fires consumed forest land at a rate of 25200 acres/week. On the average, how many square meters of forest are burned down every minute
Answer:
On average the size of the area of the forest burnt down every minute is 10117.14 m²
Step-by-step explanation:
The given parameters are;
The rate consumption of forest land by the fire = 25200 acres/week
Therefore, we have;
The number of minutes in one week = 60 × 24 × 7 = 10080 minutes
Therefore;
The rate consumption of forest land by the fire per minute = 25200/10080 acres/minute = 2.5 acres/minute
The number of square meters in one acre is given as follows;
1 acre = 4,046.856 m²
Therefore;
2.5 acres/minute = (2.5 × 4,046.856 m²/(1 acre)) acres/minute = 10117.14 m²/minute
Which give;
The rate consumption of forest land by the fire= 10117.14 m²/minute.
The rate of the fire consumption of the forest is 10117.14 m²/minute.
Alewuya recently hired a landscaper to do some necessary work. On the final bill, Alewuya was charged a total of $361. $265 was listed for parts and the rest for labor. If the hourly rate for labor was $32, how many hours of labor was needed to complete the job?
Answer:
361-265＝96
96÷32＝3
3hours of labor was needed to complete the job
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of all random samples of people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. B. It can be said that nothing% of the population has a driving distance to work (in miles) that is between the interval's endpoints. C. With nothing% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. D. With nothing% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
Answer:
With 99 % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints [19.91 miles, 31.49 miles] .
Step-by-step explanation:
The complete question is: In a random sample of six people, the mean driving distance to work was 25.7 miles and the standard deviation was 6.7 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean mu is left parenthesis 14.7 comma 36.7 right parenthesis (and the margin of error is 11.0).
Through research, it has been found that the population standard deviation of driving distances to work is 5.5 . Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99 % confidence interval for the population mean mu .
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.)
A. nothing % of all random samples of six people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.
B. With nothing % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.
C. It can be said that nothing % of the population has a driving distance to work (in miles) that is between the interval's endpoints.
D. With nothing % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
We are given that in a random sample of six people, the mean driving distance to work was 25.7 miles and the standard deviation was 6.7 miles.
Through research, it has been found that the population standard deviation of driving distances to work is 5.5 .
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean driving distance to work = 25.7 miles
[tex]\sigma[/tex] = population standard deviation = 5.5 miles
n = sample of people = 6
[tex]\mu[/tex] = population mean driving distance to work
Here for constructing a 99% confidence interval we have used a One-sample z-test statistics because we know about the population standard deviation.
So, 99% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level
of significance are -2.58 & 2.58}
P(-2.58 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 2.58) = 0.99
P( [tex]-2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.99
P( [tex]\bar X-2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.99
99% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]
= [ [tex]25.7-2.58 \times {\frac{5.5}{\sqrt{6} } }[/tex] , [tex]25.7+2.58 \times {\frac{5.5}{\sqrt{6} } }[/tex] ]
= [19.91, 31.49]
Therefore, a 99% confidence for the population mean is [19.91, 31.49] .
The margin of error here is = [tex]2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex]
= [tex]2.58 \times {\frac{5.5}{\sqrt{6} } }[/tex] = 5.793
With 99 % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints [19.91, 31.49] .
Which statement about the two values of the digits 4 is correct 10 times more, 40 times more, 100 times more, 400 times more
In the number 1,034,456
Answer:
10 times more
Step-by-step explanation:
Step 1: Find the 2 '4' values
Value 1 is 400
Value 2 is 4,000
Step 2: Divide the lager number with the smaller number
4,000 / 400 = 10
Therefore the first digit is 10 times more than the second digit(Looking from left to right)
Which is closest to the distance between A and B on the number
line?
A) -9
B) -5
C) 13
D) 5
E) 12
Answer:
C) 13
Step-by-step explanation:
A on the number line is about -5 and B is 8. Act as if there wasn't a negative sign in front of the 5. Add the two numbers together the get the distance.
Devon bought running shocs at a price that was 1/4 off the original price of $88. He paid a sales tax of 7% on
the discounted price and gave the clerk four $20 bills.
How much change should he receive?
A. $ 4.62
B. $ 7.84
C. $ 9.38
D. $12.46
E. $18.62
The correct answer is C. $ 9.38
Explanation:
The first step to solve this mathematical problem is to know the price of the shoes. About this, we know the price is 1/4 of $88 plus taxes. You can find how much is 1/4 of $88 by following this process:
1. Write the amounts given
[tex]\frac{1}{4}[/tex] of [tex]88[/tex]
2. Divide the number by the denominator (bottom number) and then multiply by the numerator
[tex]88[/tex] ÷ [tex]4 = 22[/tex]
[tex]22 x 1 = 22[/tex]
This means the discount was $22 and $88- $22 = $66, which is the price with the discount. Now, it is necessary to add the sales tax, which can be done by finding the 7% of $66 and adding this number to $66 (the price of the shoes including the 1/4 discount)
1. Write the values
66 = 100 (66 represents the total or 100%)
x = 7 (7% is the value you want to know and the x represents the value is not known)
2. Cross multiply
x 100 = 462
3. Find x
x = 462 ÷ 100
x = 4. 62 ( value of taxes)
Now, add the taxes to the price $66 + $ 4.62 = $70.62 (price with taxes). Finally, we know Devon paid using four $20 bills. This means he gave the clerk $80 ($20 x 4 = $80). Finally, to know how much is the change subtract the price of the shoes from the money Devon gave the clerk $80 - $70.62 = $9.38
A piece of rope falls out of a hot air
balloon from a height of 5,184 ft. If the
equation for height as a function of time
is h(t) = -16t2 - initial height where t is
time in seconds and h(t) is height in feet,
how many seconds will it take for the
piece of rope to hit the ground?
Answer:
18 seconds
Step-by-step explanation:
Given the equation for height as a function of time expressed as
h(t) = -16t² - initial height, if initial height is 5,184ft, the expression will become;
h(t) = -16t² - 5,184
t is time in seconds
h(t) is height in feet
The height of the rope on the ground is zero. In order to calculate the amount of seconds it will take the piece of rope to hit the ground, we will substitute h(t) = 0 into the modeled equation as shown:
Since the body falls downwards (negative direction), initial height = -5184 ft
h(t) = -16t² - -(5,184)
0 = -16t² + 5,184
0+16t² = 5184
16t² = 5184
16t²/16 = 5184/16
t² = 324
t = √324
t = 18 seconds
Hence, it will take the rope 18seconds to hit the ground.
Answer:18 seconds
Step-by-step explanation:just did the assignment
the answer should look like this. (___,___) plzzz fast.
Answer:
( -1, 15/2) or ( -1, 7 1/2)
Step-by-step explanation:
Formula: ( (x1 + x2)/2, (y1 + y2)/2 )
1. ( (-4 +6)/2, (8 + 7)/2 ) Plug in
2. ( -2/2, 15/2) Add/Subtract
3. ( -1, 15/2) or ( -1, 7 1/2) Divide
Answer:
Coordinates of the midpoint are: (1, 7.5)
Step-by-step explanation:
Find the distance between the x-values of the given points,and the distance between the y-values of them:
distance between 7 and 8 (y-values of N and A respectively) is: 8-7 = 1
then half of that is 0.5, therefore, the midpoint should have for y value the value of the minimum between 7 and 8 (7) plus 0.5, that is, the y-value of the midpoint is: 7.5
Now for the x-value of the midpoint we do something similar:
The distance between 6 and -4 (x-values of B and A respectively) is: 10 units, half of this is 5, and therefore, the x-value of the midpoint should be at the minimum of those two values (-4) plus 5 units, that is: -4 + 5 = 1
Coordinates of the midpoint are: (1, 7.5)
"If the average cholesterol level is 194 with a standard deviation of 15, what percentage of children have a cholesterol level lower than 199? Answers are rounded to the nearest whole percent."
Answer:
63%
Step-by-step explanation:
Given the following :
Average cholesterol level or mean (m) = 194
Standard deviation (sd) = 15
what percentage of children have a cholesterol level lower than 199?
P(X < 199)
Assume a normal distribution :
Find the z-score :
Z = (score - mean) / standard deviation
Score = 199
Z = (199 - 194) / 15
Z = 5 / 15
Z - score = 0.3333
P(Z < 0.33) :
Using the z - table ; 0.33 = 0.6293
P(Z < 0.33) = 0.6293
0.6293 * 100% = 62.93%
= 63% (nearest whole percent)
Need Help With This Equation
Show Work
Answer:
$42
Step-by-step explanation:
Original price: $56
Discount: 25%
A discount of 25% means that the discount is 25% of the price of the item, so you need to subtract 25% of the price of the item from the original price of the item.
Let's find an expression for the amount of the discount.
25% of $56 = 25% * $56 = 0.25 * $56
The amount of discount is 0.25 * $56.
Now we subtract that amount form the original price of $56.
$56 - 0.25 * $56 = $56 - $14 = $42
Answer: The boots cost $42 on sale.
Often, anomalous objects are known as _____, since on a scatter plot of the data, they lie far away from other data points.
Answer:
outliers
Step-by-step explanation:
An outlier is a data point that is significantly different from other observations. An outlier might be due to inconsistency in measurements, or due to an error introduced into the experiment. Outliers cans lie extremely high or low of other observation in statistics, and they usually create a big problem for proper analysis.
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter x2 as x^2.
The answer : (x-5)^2 .....................................(x-5)square
For example, for f(x)= x square . For x=1 ,then, y=1 .
But consider the g function. the minimum value that g function has is x is 5. When x is 5, y is 0 . So (x-5)square is the equation of this function.
The complete equation of the blue graph is (x-5)^2.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
Red graph equation= X^2
Now,
In blue graph it shifted by 5 units to the right
For blue graph
x=5
Putting the value of x in red graph equation
=(x-5)^2
=x^2 + 25 - 10x
Therefore, by the given graph function will be (x-5)^2.
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exponents and power - simplify and express result with positive index
Answer :
[tex] {ab}^{3} [/tex]
Perform the operation. (Write fractional answers in simplest form.) 8x/3 ÷ 6/7
Answer:
[tex]\frac{28x}{9}[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
[tex]\frac{8x}{3} /\frac{6}{7}[/tex]
Step 2: KCF (Keep Change Flip)
[tex]\frac{8x}{3} (\frac{7}{6})[/tex]
Step 3: Multiply
[tex]\frac{56x}{18}[/tex]
Step 4: Simplify
[tex]\frac{28x}{9}[/tex]
Answer:
28x/9
Step-by-step explanation:
Dividing a fraction by fraction is the same as multiplying a fraction by the other fraction's reciprocal:
Here is the formula:
[tex]\frac{x}{y} / \frac{a}{b} = \frac{x}{y} * \frac{b}{a}[/tex]
Thus, [tex]\frac{8x}{3} / \frac{6}{7} = \frac{8x}{3} * \frac{7}{6}[/tex]
8x * 7 = 56x and 3* 6 is 18, so:
[tex]\frac{56x}{18}[/tex]
It can be further simplified by dividing both numerator and denominator by 2:
[tex]\frac{28x}{9}[/tex]
When a vehicle is in motion, it has _____. A. no weight B. no inertia C. potential energy D. kinetic energy
Answer:
D kinetic energy
Step-by-step explanation:
When a vehicle is in motion, it has kinetic energy. Option C is correct.
The statement is given, When a vehicle is in motion, it has _____.
Blank statement to be filled from the options A. no weight B. no inertia C. potential energy D. kinetic energy.
When an object is subjected to perform a motion by the action of force induced by external means the object's potential energy transforms into kinetic energy. Or kinetic energy is half the product of mass and square of the velocity.
When a vehicle is in motion. it has both kinetic energy and inertia because a vehicle has velocity and weight respectively. Since kinetic energy is directly proportional to the square of velocity, inertia is directly proportional to weight. In option, we have only kinetic energy options.
Thus, When a vehicle is in motion, it has kinetic energy. Option C is correct.
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give another name for r
I would have to say its AB<----
But im not 100% sure I wish you luck.
x +x= telllllllllkkkll
Answer: X + X= 2x or X squared.
Step-by-step explanation:
student/dashboard/home
Dan sees the following number pattern on the chalkboard.
5, 10, 20, 40...
What is the rule for this pattern?
1)) add 5, then add 10
(1) multiply by 10
1) multiply by 2
Answer:
multiply by 2
Step-by-step explanation:
5x2=10
10x2=20
Answer:
multiplying by 2 ........
Which of the following is the correct formula for distance?
(A.) d= (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(B.) d= sqrt (x2+x1)^2+(y2+y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(D.) d= sqrt (x2-x1)+(y2-y1), where d is the distance between points (x1,y1) and (x2,y2).
Answer:
(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{\mathrm{C }}[/tex]
Step-by-step explanation:
[tex]\sf The \ distance \ formula \ is \ given \ as:[/tex]
[tex]d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2 }[/tex]
[tex]d \Rightarrow \sf distance[/tex]
[tex](x_1,y_1) \Rightarrow \sf Coordinates \ of \ the \ first \ point[/tex]
[tex](x_2,y_2) \Rightarrow \sf Coordinates \ of \ the \ second \ point[/tex]
I’m really struggling, someone please help!
Hi there! :)
Answer:
[tex]\huge\boxed{C.}[/tex]
We can examine each answer choice individually:
A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900. Therefore, this choice is incorrect.
B. 569 · 10 = 5,690. This choice is incorrect.
C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000. This choice is correct.
D. 10² · 569 = (10 · 10) · 569 = 56,900. This choice is incorrect.
Therefore, the correct option is C.
Answer:
A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900.
B. 569 · 10 = 5,690.
C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000.
D. 10² · 569 = (10 · 10) · 569 = 56,900.
So your answer is C
The solution to the compound inequality are____
Answer:
-1 < x ≤ 2
Step-by-step explanation:
-2 < 2x ≤ 4
Divide by 2
-2/2 < 2x/2 ≤ 4/2
-1 < x ≤ 2
Open circle at -1 line going to the right to a closed circle at 2
What is the Area of the region shown below?
Answer:
B) 47 units²
Step-by-step explanation:
It can be done by finding the area of the black, but it will be much easier to find the area of the white and subtract.
Total area of the grid equals 10x8=80
There are two rectangles at the bottom. 6+8=14
There are 4 triangles that each equal 4.5. 4.5*4=18
There is 1 small triangle at the top that equals 1.
80-14-18-1=47
What is the sum of ( − 5.5) and the product of 5 3 and the number that is 100 greater than (− 5.5)?
Answer:
- 5.5 + ( 5/3 ) x( 100-5.5) ( as per statement given)
-5.5 + (5/3)x(94.5) = -5.5 + 5x31.5 = -5.5 + 157.5
=152
Step-by-step explanation:
claire and her classmates placed the colored block on a scale during a science lab the blue block weighed 0.9 pounds and the green block weighed 0.07 how much more did the blue block weigh than the green block?
Answer:
0.83
Step-by-step explanation:
.9 which is .90 minus the weight of the blue block which is.07 is equal to .83 thus making it your answer.
The blue block weighs 0.2 pounds more than the green block.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The difference between the weights of the colored blocks is how more the blue block weighs than the green block which is,
= (0.9 - 0.7).
= 0.2 pounds.
learn more about numerical expressions here :
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BRAINLIEST IF RIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Trevon's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.80 to buy the supplies to make a fork and $1.40 to buy the supplies to make a spoon. The store sells forks for $4.60 and spoons for $5.40. Last April Trevon's Custom Kitchen Supplies spent $24.60 on materials for forks and spoons. They sold the finished products for a total of $73.80. How many forks and how many spoons did they make last April? A. 8 forks and 10 spoons B. 8 forks and 8 spoons C. 9 forks and 9 spoons D. 9 forks and 6 spoons
Answer:
D. 9 forks and 6 spoons
Step-by-step explanation:
Let's calculate how many forks and spoons were made. We need to guess a pair of variable values that will add up to $24.60. We'll do this by substituting all the possible pairs in:
Here's the pair for A:
[($1.80 * a) + ($1.40 * b)]
= [($1.80 * 8) + ($1.40 * 10)]
= [$14.40 + $14]
= $28.40
Is $28.40 equal to $24.60? No, this is not correct.
Here's the pair for B:
[($1.80 * a) + ($1.40 * b)]
= [($1.80 * 8) + ($1.40 * 8)]
= [$14.40 + $10.80]
= $25.20
Is $25.20 equal to $24.60? No, this is not correct.
Here's the pair for C:
[($1.80 * a) + ($1.40 * b)]
= [($1.80 * 9) + ($1.40 * 9)]
= [$16.20 + $12.60]
= $28.80
Is $28.80 equal to $24.60? No, this is not correct.
Here's the pair for D:
[($1.80 * a) + ($1.40 * b)]
= [($1.80 * 9) + ($1.40 * 6)]
= [$16.20 + $8.40]
= $24.60
Is $24.60 equal to $24.60? Yes, this is correct.
Therefore, we know the answer is (D) 9 forks and 6 spoons
We can also check by substituting these values to find the amount Trevon's Custom Kitchen Supplies earned last April:
[($4.60 * a) + ($5.40 * b)]
= [($4.60 * 9) + ($5.40 * 6)]
= [$41.40 + $32.40]
= $73.80
This is equal to the amount of money earned last April.
I hope this helps! Tell me if I'm wrong, please!