A cube-shaped
sculpture has a volume of
64 cubic feet. What is the
length of each edge of the
cube?

The length of each edge is
feet.

Convince Me! How can
you find the cube root of
64?

ANSWER

EXPLANATION

To find the scale factor of the model to the sculpture, we have to divide one set of measurements of the model and sculpture.

Let us divide the length of the model by that of the sculpture:

That is the scale factor of the model to the real sculpture.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

A 95% confidence interval gives you a 5% chance of being wrong. A 90% confidence interval gives you a 10% chance of being wrong. In comparison to a 99% confidence interval, a 95% confidence interval is smaller (for example, plus or minus 4.5 percent instead of 3.5 percent).

When constructing a confidence interval for a propotion, if the condition of proportion requires 10 individuals in each category is not met, then confidence interval should be adjusted.

The number of individuals in each category is increased by 2 and sample size increases by 4.

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The value of variable x and y are 24 and 19 respectively.

We have to find the variables x and y of the angles.

Therefore,

using angles in a triangle,

2x + 13 + 47 + 5y - 23 = 180

2x + 5y = 180 - 13 - 47 + 23

2x + 5y = 143

Using corresponding angles,

180 - (2x + 13) = 47 + 3x

180 - 2x  - 13 = 47 + 3x

180 - 47 - 13 = 3x + 2x

120 = 5x

x = 120 / 5

x = 24

Hence,

2(24) + 5y = 143

5y = 143 - 48

5y = 95

y = 95 / 5

y = 19

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Answer:

24 = 18

Step-by-step explanation:

3 cups = 2 cookies

Meaning she needs 24 cups of flower for 18 cookies

Answer:

x= -0.3

Step-by-step explanation:

0.8-2x=1.4 Set up equation

-2x=1.4-0.8  Put Like terms together

-2x=0.6       Subtract like terms

x=0.6/-2     Divide

x=-0.3        Answer

Given:

Required:

Which option is equivalent?

Explanation:

The equivalent for is

Answer:

Option B is correct answer.

Answer:

-26

Step-by-step explanation:

Answer:

t=(1,-3) c=(-2,-2) r=(-3,-5)

Step-by-step explanation:

add 2 to each x value and subtract 4 from each y value

Answer:

It would be helpful if you add more info on the question

Step-by-step explanation:

The equation of direct variation is,

Substitute the values of y and x.

So, the obtained equation will be y=1.35(x).

Let's check with the values of x.

1) If x=4

2) If x=2

3) If x=-2

Answer: b = (−ah+2a)/h

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Add (-1)/2ah to both sides.

Step 3: Divide both sides by h/2.

V-22+v+32+v=180

V+v+v=170

3v=170

v=56.67

Answer:

12

Step-by-step explanation:

36 divided by 3 is 12

Answer:

The circulatory system

Step-by-step explanation:

Is this math? lol

:]

Answer: Yes, No, No, Yes

Step-by-step explanation:

Goal: Substitute all the ordered pairs into the equation.

1) (1,-3)

5(1) + 2(-3) = -1

5 + -6 = -1

-1 = -1

Yes

2) (2,8)

5(2) + 2(8) = -1

10 + 16 = -1

25 = -1

No

3) (-4, -6)

5(-4) + 2(-6) = -1

-20 + -12 = -1

-32 = -1

No

4) (-3, 7)

5(-3) + 2(7) = -1

-15 + 14 = -1

-1 = -1

Yes

Using an arithmetic sequence, it is found that the next amount of train cars is of 6.

For an arithmetic sequence, the difference between consecutive terms is constant, called common difference d.

The nth term of an arithmetic sequence is given by the following rule:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In the context of this problem, from the image, the number of train cars can be modeled by the following sequence:

(0, 2, 4, ...)

Which is an arithmetic sequence with:

Hence the next term of the sequence is given by:

4 + 2 = 6.

As 4 is the last term and 2 is the common ratio.

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Answer:69736

Step-by-step explanation:

The answer to the mentioned statement are :

first statement is WRONG

the second statement is RIGHT

The third statement is also WRONG

the fourth statement is RIGHT

fifth statement is RIGHT

sixth statement is WRONG

The side of the given cube is 1 unit.

This means that the Length= Breadth = Height = 1 unit because it is cube

This means that the volume can be described as

( side ) ³

that is 1 × 1 × 1 = 1 cubic unit

thus the first statement is WRONG

However the second statement is RIGHT

The third statement is also WRONG

since it is a cube whose volume is 1 cubic unit

thus we can say that it is one block

Thus the fourth statement is RIGHT

fifth statement is RIGHT

sixth statement is WRONG

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The answer choices which represents an example of data organisation and analysis are;

Choice A; Drawing a pie chart to show the percentage of sunny days, rainy days, and cloudy days without precipitation.

Choice C. Running a weather station.

Choice E; Summing the number of days with precipitation, summing the number of sunny days, and summing the number of cloudy days without precipitation.

The concept above as the name implies involves the process of gathering data in a bid to further carry out analysis and consequently, draw inferences from such analysis.

Therefore, the answer choices A, C and E represent such activities which involve data organisation and analysis.

Complete question:

What is an example of data organisation and analysis?

Check all that apply.

A. Drawing a pie chart to show the percentage of sunny days, rainy days, and cloudy days without precipitation

B. Rejecting extreme data

C. Running a weather station

D. Transferring the weather data to a computer application

E. Summing the number of days with precipitation, summing the number of sunny days, and summing the number of cloudy days without precipitation.

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An example of data organization and analysis include:

A. drawing a pie chart to show the percentage of sunny days rainy days and cloudy days without precipitation.

E. summing the number of days with precipitation summing the number of sunny days and summing the number of cloudy days without precipitation

Data organization and analysis are accomplished by a process of categorizing and organizing data based on its category and how it is studied. A is an example of data organizing and analysis.

Drawing a pie chart to display the percentage of sunny days, rainy days, and cloudy days without precipitation - in this example, data organization is done through charts and graphs, with data classification visible. e is another example.

Summing the number of days with precipitation, sunny days, and cloudy days without precipitation - in this example, data organizing is done solely through summation of numbers, with no graphs or charts to graphically portray the data.

In conclusion, the correct options are A and E.

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Which of the following activities are examples of data organization and analysis?

Check all the apply.

A. Drawing a pie chart to show the percentage of sunny days, rainy days, and cloudy days without precipitation

B. Rejecting extreme data

C. Running a weather station

D. Transferring the weather data to a computer application

E. Summing the number of days with precipitation, summing the number of sunny days, and summing the number of cloudy days without precipitation.

5.7%

let amount invested = Principal = $8000

time = 1 year

rate = ?

Interest = $456

To get the rate, we'll apply simple interest formula:

Hence, the simple rate of the bonds is 5.7%

The table will be:

Number of Minutes: 0.25. 0.5. 0.75 1

Number of heartbeats: 0.6675 1.335 2 2.67

The veterinarian recorded a cat's resting heart rate to be 120 beats over a 45-second time period. The constant will be:

= 120 / 45

= 2.67

Therefore, to find the heartbeat, we have to multiply the numbers of minutes by 2.67. This is illustrated as:

= 2.67 × 0.25 = 0.6675

This illustrates the concept of multiplication.

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Answer:

5(4x+5)

Step-by-step explanation:

25+20x

=5(5+4x)

:]

Answer: -4 over 0 (I think) I hope this helps a little bit

Step-by-step explanation: Finding the slope

(-14,-10) and (-14,-6)

Use your Y values and subtract them -10-(-6) or -10 + 6= -4 that will be your numerator

Use your 2 X values and subtract them -14-(-14) or -14+14=0  that will be your denominator

Slope will be  -4 over 0

[tex] \huge\underline\mathcal{Answer \: - }[/tex]

Pythagoras theorem states that the square of hypotenuse equals the sum of square of other two sides.

therefore ,

[tex](25) {}^{2} = (x + 3) {}^{2} + 4 { }^{2} (x + 2) {}^{2} \\ \\ \longrightarrow \: 625 = x {}^{2} + 9 + 6x + 16(x {}^{2} + 4 + 4x) \\ \\ \longrightarrow \: 625 = x {}^{2} + 9 + 6x + 16x {}^{2} + 64x + 64 \\ \\ \longrightarrow \: 625 = 17x {}^{2} + 70x + 73 \\ \\ \longrightarrow \: 17x {}^{2} + 70x + 73 - 625 = 0 \\ \\ \longrightarrow \: 17x {}^{2} + 70x - 552 = 0[/tex]

now using quadratic formula ,

[tex]x = \frac{ - b \: \pm \: \sqrt{b {}^{2} - 4ac} }{2a} \\ [/tex]

here , a = 17 , b = 70 , c = -552

substituting the values in the equation above ,

[tex]x = \frac{70 \: \pm \: \sqrt{70 {}^{2} - 4(17)( - 552)} }{2 \times 17} \\ [/tex]

after simplifying we get ,

[tex]\boxed{x = 4} \: \: or \:\boxed{ x = \frac{ - 138}{7} } \\ [/tex]

since length can't be negative , therefore the other value will be neglected and hence ,

[tex]\boxed{value \: of \: x \: = \: 4 \: cm}[/tex]

hope helpful ;-;

======================================================

Work Shown:

As you mentioned, we'll use Pythagoras' Theorem aka Pythagorean Theorem.

[tex]a^2+b^2 = c^2\\\\(x+3)^2+(4(x+2))^2 = 25^2\\\\(x+3)^2+16(x+2)^2 = 625\\\\(x^2+6x+9)+16(x^2+4x+4) = 625\\\\x^2+6x+9+16x^2+64x+64 = 625\\\\17x^2+70x+73 = 625\\\\17x^2+70x+73-625 = 0\\\\17x^2+70x-552 = 0\\\\[/tex]

Next, we'll use the quadratic formula with a = 17, b = 70, c = -552.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-70\pm\sqrt{(70)^2-4(17)(-552)}}{2(17)}\\\\x = \frac{-70\pm\sqrt{42436}}{34}\\\\x = \frac{-70\pm206}{34}\\\\x = \frac{-70+206}{34} \ \text{ or } \ x = \frac{-70-206}{34}\\\\x = \frac{136}{34} \ \text{ or } \ x = \frac{-276}{34}\\\\x = 4 \ \text{ or } \ x \approx -8.1176\\\\[/tex]

Ignore the negative x value solution. The sides (x+3) and 4(x+2) will be negative values if we plugged in x = -8.1176, but negative side lengths do not make sense.

This makes x = 4 the only possible solution.

----------------

If x = 4, then,

This is a 7-24-25 right triangle.

We can confirm this using the pythagorean theorem

[tex]a^2+b^2 = c^2\\\\7^2+24^2 = 25^2\\\\49+576 = 625\\\\625 = 625 \ \ \ \checkmark[/tex]

Given that a diner serves a stack of potato slices that is 2.8 centimeters tall. The thickness of a potato is 0.35 centimeters.

We have to determine the number of potato slices in the stacks.

The number of potato slices in the stack is given by:

Thus, the number of potato slices in the stack is 8.

The perimeter of triangle VYZ is 12 units.

The perimeter of a triangle is the sum of the whole sides of the triangle.

In other words, the perimeter of a triangle is the total distance covered by its boundaries or the sides.

Therefore,

perimeter of ΔVYZ = VY + ZY + ZV

Therefore,

VY  =  ZY = ZV = XW

Hence,

YW = YX + XW

Therefore,

XW = YW - YX

YW  = 3x - 1

YX = 1

Hence,

XW = 3x - 1 - 1

XW = 3x - 2

Therefore,

perimeter of ΔVYZ = 3x - 2 + 3x - 2 + 3x - 2

perimeter of ΔVYZ = 9x - 6

ZX = YW

2x + 1 = 3x - 1

2x - 3x = - 1 - 1

-x = -2

x = 2

Therefore,

perimeter of ΔVYZ = 9(2) - 6

perimeter of ΔVYZ = 18 - 6

perimeter of ΔVYZ = 12 units

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c.

Step-by-step explanation:

you can check the the correct answer by giving tables value for eg f(x)= 2 g(f(x))= 1/2(2)²=2

as you can see in the graph g(x) (2,2)