How is the process of finding the surface area of a rectangular prism the Same as finding the surface of a triangular prism?how is it different.

The total volume of all the drawers in the dresser, which has 6 drawers high and 3 drawers wide, is found by multiplying these two values. Therefore, the total volume of all the drawers in the dresser is 18 cubic feet.

This problem involves the calculation of volume in a real-world context. We know that each drawer has a volume of 1 cubic foot, and the total volume of all the drawers can be obtained by multiplying the number of drawers across (width) by the number of drawers high (height). From the question, we know the dresser is 6 drawers high and 3 drawers wide. Therefore, the total volume is obtained by multiplying 6 (height) by 3 (width), which yields 18 cubic feet. Hence, the total volume of all the drawers in the dresser is 18 cubic feet.

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Answer:

The area of the triangle is [tex]5x^4 + 4x^3[/tex] square units

Step-by-step explanation:

Given

Shape: Triangle

[tex]Height = 2x^2[/tex]

[tex]Base = 5x^2+4x[/tex]

Required

The area of the triangle

The area of a triangle is calculated as thus;

[tex]Area = \frac{1}{2}(base)(height)[/tex]

By substituting [tex]Height = 2x^2[/tex] and [tex]Base = 5x^2+4x[/tex]; This gives

[tex]Area = \frac{1}{2}(5x^2 + 4x)(2x^2)[/tex]

[tex]Area = \frac{(5x^2 + 4x)(2x^2)}{2}[/tex]

[tex]Area = (5x^2 + 4x)(x^2)[/tex]

Open Bracket

[tex]Area = 5x^2 * x^2 + 4x * x^2[/tex]

[tex]Area = 5x^4 + 4x^3[/tex]

Hence, the area of the triangle is [tex]5x^4 + 4x^3[/tex] square units

Answer:

16

Step-by-step explanation:

All we have to do is write this in vertex form of a quadratic. It is now in factored form. To get it into vertex form we must complete various steps. Here you can skip it using desmos graphing calculator:

Answer: 16 units.

Step-by-step explanation:

To find the vertex, first simplify the quadratic equation into its standard form:

[tex]h(x)=-(x+1)(x-7)\\h(x)=(-x-1)(x-7)\\h(x)=-x^2+6x+7\\[/tex]

Using this formula, we can then find the axis of symmetry by using the formula S = -b/2a:

[tex]S=\frac{-6}{-2}[/tex]

The axis of symmetry lies on x = 3.

You can then substitute x for 3 in the equation to find the vertex of the parabola:

[tex]h(3)=-9+18+7\\h(3)=16[/tex]

The ball will be 16 units high after travelling 3 units horizontally. This is the maximum height the ball will reach before falling.

Answer:

29.9

Step-by-step explanation:

Answer:

please finish the question?

Step-by-step explanation:

Answer:

10-h

Step-by-step explanation:

i think ur teacher told u to write a equation out of it and if that is it then the equation is 10-h

The correlation between the z-scores for X and z-scores for Y is given by: Option A: 0.92

The correlation coefficient(for two variables) is independent of the change of origin and scale of any or both variables.

Thus, we get:

[tex]Corr(X, Y) = Corr\left(\dfrac{X - a}{b}, Y\right) = Corr\left(X, \dfrac{Y - c}{d}\right) = Corr\left(\dfrac{X - a}{b},\dfrac{Y - c}{d}\right)[/tex]

where a, b, c and d are constants.

Suppose the considered random variable be X.

Then, we get the z-scores for X as:

[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - E(X)}{\sqrt{E(X^2) - [E(X)^2]}}[/tex]

where [tex]\mu = E(X)[/tex] and [tex]\sigma = \sqrt{Var(X)}[/tex] (both are constants).

For this case, we're specified that:

The correlation coefficient for the z-scores of X and Y would be:

[tex]Corr\left(\dfrac{X -\mu_X}{\sigma_X}, \dfrac{Y - \mu_Y}{\sigma_Y}\right)[/tex]

Using the property that origin and scale change doesn't affect correlation coefficient, we get:

[tex]Corr\left(\dfrac{X -\mu_X}{\sigma_X}, \dfrac{Y - \mu_Y}{\sigma_Y}\right) = Corr(X,Y) = 0.92[/tex]

Thus, the correlation between the z-scores for X and z-scores for Y is given by: Option A: 0.92

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The correct answer to the question is option a) 0.92.

Formula for finding z score is:

where [tex]\mu[/tex] = E(X) and [tex]\sigma[/tex] = √(Var(X)) (both are constants).

We are provided with following information:

Corr(X,Y) = 0.92

Origin &  scale change does not affect correlation coefficient between two scores, so get:

If the correlation between two scores X and Y is 0.92, and both scores are converted to z-scores, the correlation remains unchanged.

This is a property of correlation coefficients, as they are invariant under linear transformations such as converting raw scores to z-scores.

Therefore, the correlation between the z-scores for X and z-scores for Y would be 0.92.

The correct answer is option a) 0.92.

Answer:

29/50

Step-by-step explanation:

To solve this expression, we first have to make sure that the denominators are equal. If the denominators aren't equal, we can't add the fractions together. To make equivalent denominators, the easiest way is to find the LCM. Looking at these two fractions, we see that the LCM is 100. To get to 100 from 10 in the first fractions denominator we multiply by 10. Since we multiplied by 10 in the denominator, we must multiply by 10 in the numerator, leaving us with the fraction:

5/10 = 50/100

Since the denominators are now equal, we can add these two fractions:

50/100 + 8/100 = 58/100 = 29/50

Adding two fractions equal

[tex]\frac{5}{10}+ \frac{8}{100}=\frac{29}{50}[/tex]

To add any two fractions , the denominators should be same.

LCD is  the smallest number of all the common multiples of the given denominators

We need to add [tex]\frac{5}{10}+ \frac{8}{100}[/tex]

To add two fractions, we need to make the denominators same

multiples of 10 are 10,20,30,40,50,60,70,80,90,100......

multiples of 100 are 100,200, 300, 400 .......

Common multiple is 100. so LCD is 100

[tex]\frac{5}{10}+ \frac{8}{100}\\\\\frac{5 \cdot 10}{10 \cdot 10}+ \frac{8}{100}\\\\\frac{50}{100}+ \frac{8}{100}\\ \frac{50+8}{100}\\\\\frac{58}{100}\\\\\frac{29}{50}[/tex]

Adding two fractions,

[tex]\frac{5}{10}+ \frac{8}{100}=\frac{29}{50}[/tex]

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Answer:

x = 6

Step-by-step explanation:

first of all, you should know how to do this, this is the basic level of math that students learn in 4th grade.

first you combine like terms (terms that have the same variable)

6 - 2x + 1x = -4x + 18 + 1x

= 6 - 1x = -3x + 18

= 6 = -2x + 18

= -12 = -2x

= 6 = x

Answer:

∠NKL = 50°

Step-by-step explanation:

A parallelogram consists of two pairs of congruent angles.

So..

130 + 130 = 260

360 - 260 = 100

100 / 2 = 50

Answer:

[tex] \frac{8}{18} [/tex]

Step-by-step explanation:

[tex] \frac{4}{9} = \frac{4 \times 2}{9 \times 2} = \frac{8}{18} \\ [/tex]

Answer:

8/18, 12/27, 16/36, 20/45

Answer:

x = 47°

Step-by-step explanation:

m∠DPB + ∠BPC = 180° (Definition of a straight line)

Plug in the corresponding numbers and variables to the corresponding places:

x + 133 = 180

Isolate the variable, x. Subtract 133 from both sides:

x + 133 (-133) = 180 (-133)

x = 180 - 133

x = 47

47° is your answer.

~

Answer:

47 degrees

Step-by-step explanation:

DPC = DPB +BPC = 180

-> x + 133 = 180

-> x = 47

Answer:

14

Step-by-step explanation:

Since angle ADC and ABC are both inscribed angles to opposite angles that must add up to 360 degrees, together they must add up to 180 degrees. You can therefore set up the following formula:

7x+2+6x-4=180

13x=182

x=14 degrees

Hope this helps!

Answer:

On edg it's 2kpi

Step-by-step explanation:

i took the test

The exact solution of the equation will be;

⇒ x = 2kπ

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ sin²x + 3cos x - 1 = 2

Now,

Since, The equation is,

⇒ sin²x + 3cos x - 1 = 2

We know that;

⇒ sin²x = 1 - cos²x

Substitute above value in equation (i), we get;

⇒ 1 - cos²x + 3cos x - 1 = 2

⇒ cos²x - 3 cos x + 2 = 0

⇒ cos²x - (2 + 1)cos x + 2 = 0

⇒ cos²x - 2cos x - cos x + 2 = 0

⇒ cos x (cos x - 2) - 1 (cos x - 2) = 0

⇒ (cos x - 2) (cos x - 1) = 0

This gives two solution,

⇒ cos x = 2

But it is not possible because the value of cos x is in between - 1 and 1.

⇒ cos x = 1

⇒ x = 2kπ + 0°

⇒ x = 2kπ

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Answer:

The median of the data set is 11.

Step-by-step explanation:

2, 2, 5, 10, 12, 13, 18, 24

10 + 12 = 22

22 / 2 = 11

The median of the data set is 11.

We have given the data set,

24, 2, 13, 12, 2, 5, 10, 18

We have to find the median

So first arrange the given data set in asending order.

2, 2, 5, 10, 12, 13, 18, 24

The median is the central number of a data set.

There are two number at center that are 10 and 12

So we have to find the mean of this two number.

10 + 12 = 22

22 / 2 = 11

So the median is 11.

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Answer:

[tex]4x > 52 \\ x > \frac{52}{4} \\ x > \frac{26}{2} \\ x > 13[/tex]

Answer:

14

Step-by-step explanation:

Plug in the numbers:

12 * 4 = 48 WRONG

13 * 4 = 52 WRONG

14 * 4 = 56 RIGHT

14

Answer:

1. True

2. False

3. True

4. True

5. False

Step-by-step explanation:

1. Volume is labeled in cubic units, as it is the multiplication of 3 dimensions

2. Surface area is only labeled in square units, not cubic units, it is area after all, and that is the multiplication of 2 dimensions

3. The volume of many figures in general is through multiplication of base and height. Though there are exeptions, the Volume of a Prism is computed through base and height multiplication

4. Yes, surface area is the sum of the areas of the sides of a 3-dimensional figure

5. Actually it is the volume of a pyramid that is One-third the volume of a prism, not the other way around

The statements 1,3 and 4 are true.

Surface area is explained as the sum of the areas of all the closed surfaces of a solid. The surface of any area is the region occupied by the surface of an object.

Volume is the amount of space available in an object. It is the space enclosed by a boundary or occupied by an object or the capacity to hold something.

For the given situation,

There are several statements, we need to check which statements are true.

Statement 1: Volume is labeled with cubic units.

Volume is the measure of three dimensional space. So volume should be labeled in cubic units.

Thus, statement 1 is true.

Statement 2: Surface area is labeled with cubic units.

Surface area is the total area of the faces of a three-dimensional shape. Surface area is labelled in square units.

Thus, statement 2 if false.

Statement 3: Volume of a prism is the product of the area of the base and height.

The volume of the prism is defined as the product of the area of the base and the length (height).

Thus, statement 3 is true.

Statement 4: Surface area is the sum of the areas of each side.

The surface area of a three-dimensional object is the total area of all its faces.

Thus, statement 4 is true.

Statement 5: The volume of a prism is One-third the volume of a pyramid.

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The volume of a pyramid is found using the formula  V = (1/3) Bh, where B is the base area and 'h' is the height of the pyramid.

Thus, statement is false.

Hence we can conclude that the statements 1,3 and 4 are true.

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Answer:

the answer is 29.516 i had this question and got it right have a great day

Step-by-step explanation:

Answer:

1771/60

Step-by-step explanation:

Answer:

[tex] {x}^{3} - 27[/tex]

Step-by-step explanation:

[tex](x - 3)( {x}^{2} + 3x + 9) \\ x( {x}^{2} + 3x + 9) - 3( {x}^{2} + 3x + 9) \\ {x}^{3} + 3 {x}^{2} + 9x - 3 {x}^{2} - 9x - 27 \\ {x}^{3} - 27[/tex]

Answer:

c

Step-by-step explanation:

Answer:

its correct for positive numbers

Answer:

Jim’s statement is correct for all numbers greater than or equal to 0, and negative integers. It does not work for negative non-integer numbers. For example, the floor of –3.5 is –4, where –4 is not equal to –3, the number before the decimal point.

Step-by-step explanation: Math

Answer:

the outlier would be 6

Step-by-step explanation:

6 is the number that stands out the most therefore it is an outlier!

:)

Answer:

A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions. All methods start with setting the equation equal to zero.

Step-by-step explanation:

Does that make sense?

Answer:

1 real number solution

Step-by-step explanation:

b^2-4ac=0  1 real number solution

Answer:

1 real

Step-by-step explanation:

Answer:

The person can live at a distance of 113 miles

Step-by-step explanation:

In this question, we are concerned with calculating how far a person live from a radio station and hear its broadcast given that the broadcast covers an area of 40,000 square miles.

Now this question is asking us to calculate the farthest distance from the radio station to the house of the person.

With the radio station being the center, what we are asked to calculate is the radius which is the distance from the center to the edge ( circumference)

Mathematically, the area can be calculated as

A = π * r^2

Here, we have the Area as 40,000 square miles

Thus,

40,000 = π * r^2

r^2 = 40,000/π

r = √(40,000/π)

r = 112.8379

As a whole number r = 113 miles

The value of the power in the expression 5^4 is 625. This is found by multiplying the base (5) by itself 4 times, which is the exponent.

The value of the power is 54. This is because 54 is the base of the expression raised to the exponent 4. In other words, 54 is multiplied by itself 4 times.

Identify the base: The base is the number that is being raised to the power. In this case, the base is 5.

Determine the exponent: The exponent is the small number written above and to the right of the base. In this case, the exponent is 4.

Write the expression in expanded form: The expanded form of the expression is 5 x 5 x 5 x 5.

Evaluate the expression: 5 x 5 x 5 x 5 = 625.

Therefore, the value of the power is 625.

Answer:

No

Step-by-step explanation:

Flipping two coins is independent because the outcome of the first coin doesn't affect the outcome of the second coin. There is still a 1/2 chance of of getting heads or tails.

If this answer is correct, please make me Brainliest!

Answer:

The answer to your question will be n = 2

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

Answer:

173 bagels are left

Step-by-step explanation:

31+42=73

246-73=173

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =5  and  y_1 =1

m the slope  m= -1 (same slope for the line : x+y=9 because this lines are parallel and you can write y=-x+9

an equation for this line is : y-1 = -(x-5)

Answer:

You can wait at the front of the luchline and survey every tenth student.

Step-by-step explanation:

This way it is equal for everyone.

Answer:

What do you eat every week?

If you include a type of food, then the survey question would be bias though.