A cube has a volume of 216 cubic inches. What is the width of the cube?

Answer:

4/3 or 1 1/3

Step-by-step explanation:

Finding x

Substitute in the equation

Answer:

[tex]\huge\boxed{\bf\:\frac{4}{3} }[/tex]

Step-by-step explanation:

If, [tex]x^{2} = 64[/tex], then,

[tex]x^{2} = 64\\x = \sqrt{64}\\x = (+/-)8[/tex]

Now, remember that any number when folllowed by exponent 0 will always have its value as 1.

Then,

[tex]\frac{1}{3} + x^{0} \\ =\frac{1}{3} + (+/-8)^{0} \\= \frac{1}{3} + 1\\=\frac{1}{3} +\frac{3}{3} \:\:\:\: (LCM = 3)\\ \boxed{\bf\:\frac{4}{3} }[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer: 17/100

Step-by-step explanation:

63/100 is sweaters and 20/100 is jeans and when you add them together you get 83/100. 100/100-83/100=17/100

Answer:

Car insurance

Step-by-step explanation:

Because most people will start driving at the age of 15 and have a license by the age of 16. In order to drive a car, you will need car insurance.

Hope this helps!

The law of cosine helps us to know the third side of a triangle. The value of third side c is 20.87.

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

Given, in ΔABC, a = 32, b = 21 and the angle between a and b is 40°, therefore, the value of ∠C=40°.

Now, the value of the third side of the triangle using the cosine law can be written,

[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}\\\\c=\sqrt{32^{2}+21^{2}-2(32 \times 21)\cdot \cos 40^o}\\\\c=\sqrt{1,024+441-1,029.5637}\\\\c=20.867 \approx 20.87[/tex]

Hence, the value of third side c is 20.87.

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Answer:

x³ + 5x² + 2x - 8

Step-by-step explanation:

1) Distribute

(x + 4) (x² + x - 2)

x(x² + x - 2) + 4 ( x² + x - 2)

2) Distribute

x(x² + x - 2) + 4 (x² + x - 2)

x³ + x² - 2x + 4 (x² + x - 2)

3) Distribute

x³ + x² - 2x + 4 (x² + x - 2)

x³ + x² - 2x + 4x² + 4x - 8

4) Combine like terms

x³ + x² - 2x + 4x² + 4x - 8

x³ + 5x² - 2x + 4x - 8

5) Combine like terms

x³ + 5x² - 2x + 4x - 8

x³ + 5x² + 2x - 8

Answer:

B: 7

Step-by-step explanation:

9x = 63

9/63 = 7

The number that is in the solution set of [tex]9x=63[/tex] is [tex]7[/tex]

Answer:

2^2 × 7

hope this helps

Step-by-step explanation:

:))

Answer:

x = -5

Step-by-step explanation:

[tex]0.00005 = 5 \times {10}^{ - 5} \\ \\ \implies \: x = - 5[/tex]

Answer:

change below :)

Step-by-step explanation:

You would start out at in the middle of a number line (horizontal). After the first play, you would move to the left on the line 5 spots (to simulate 5 yards lost) and then make a dot to show your new position. You would do the same thing for the next two plays, moving 5 spots to the left each play and creating a new starting point each time. The total spots moved after the 3 plays is 15 spots to the left.

Answer:

If the four number sentences at the bottom are the choices for your answer the correct one would be choice A or 1.  

I hope this is what you meant if not I'll try to take my answer down and try to answer it again correctly!

The direction of the north is taken as positive on the x-axis that is (x + 5, y). Then the correct option is B.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

For the first part of the obstacle course.

Helena needs to sprint as fast as she can to Checkpoint A, which is 5 units north of her starting point.

Then the coordinate point will be

Let the direction of the north is taken as positive on the x-axis. Then we have

(x, y) → (x + 5, y)

Thus, the correct option is B.

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Answer:

false

Step-by-step explanation:

there is not enough information in order to apply theorems such as:

SSS

SAS

AAS

among others

Answer:

2.04

Step-by-step explanation:

[tex]5.33-3.29=2.04[/tex]

Answer:

2.04

Step-by-step explanation:

5.33-3.29=2.045.33−3.29=2.04

A mean is an arithmetic average of a set of observations. The value of the unknown number is 16.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Let the unknown number be represented by x.

As per the formula of averages, we can write,

Mean = (Sum of observations)/Number of observations

(7 + 8 + 21 + 33 + x)/5 = 17

(69 + x) / 5 = 17

Multiply both the sides of the equation by 5,

(69 + x)/5 × 5 = 17 × 5

69 + x = 85

Subtract 69 from both the sides of the equation,

69 + x - 69 = 85 - 69

x = 16

Hence, the value of the unknown number is 16.

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Answer:

Length: 7 11/27 ft.

Step-by-step explanation:

200/27 = 7 11/27

Answer:

m = 1.5

Step-by-step explanation:

Find two points

(-2,-1) and (0,2)

now use slope formula

[tex]\frac{y_{1} -y_{2} }{x_{1}-x_{2}}[/tex]

2-(-1)/0-(-2)

3/2 = 1.5

slope is 1.5

Answer:

SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since a fraction is a division problem, you can do every answer and compare them until you get them in order, which D is the most reliable.

Answer:

inequality form: x [tex]\leq[/tex] -2 or x > 3

interval notation form: (-∞,-2] ∪ (3,∞)

Step-by-step explanation:

I attached a picture that shows all the work. You begin by isolating then solving for x on both sides. Then form a solution using the information found out about x. For example, you can combine the found inequalities for x to solve that x must be GREATER than 3 while being LESS than -2. Using that you can form an line and make a line. Remember, when writing in interval notation form you always begin from the left to the right (in reference) to the number line.

Answer:

79 ft

Step-by-step explanation:

Golden rectangle side ratios   1 : (1+sqrt5 )/2

      (approx  1: 1.618)

15 + 15   +  2*15*1.618 = ~79 ft

BUT perhaps the 15 is the 1.618 side

15/1.618 + 15/1.618   + 15 + 15   ~ 49 feet

The value of z test statistics is 2.83.

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. The range of Z-scores ranges from -3 standard deviations (which would be on the far left of the normal distribution curve) to +3 standard deviations (which would fall to the far right of the normal distribution curve). You must be aware of the mean and population standard deviation in order to use a z-score.

Given mean = x = 36.1 inches

standard deviation = σ = 0.3

sample size = n = 72

and μ = 36.1

here z = (x - μ)/(σ/[tex]n^{1/2}[/tex])

z = (36.1 - 36 )(0.3/[tex]72^{1/2}[/tex])

z = 0.1/0.0354

z = 2.8248

z = 2.83

Hence the value of z test is 2.83.

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Answer:

Step-by-step explanation:

P(less than 6) = 2/5

There are 5 spaces total. Of these, only 2 spaces are less than 6, namely the pizza slices labeled "4" and "5".

That's how we get to 2/5

The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The area of the table runner = 80 square inches

Let's assume the length of the rectangle is L and the width is W

Then L = 5×W ...(1)

L×W = 80 ...(2)

Put the value of L in the equation (2)

5W(W) = 80

5W² = 80

W² = 16

W = ±4

Width cannot be negative.

W = 4 inches putting this value in the equation (1)

L = 5(4) = 20 inches

Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

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By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)

In this question we must determine the kind of function according to its characteristics based on definitions of typical functions, which are represented below:

Quadratic

y = a · x² + b · x + c

This function is reduced into a linear function when a = 0.

Exponential

[tex]y = a \cdot b^{c\cdot t}[/tex]

Where:

By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)

The statement is poorly formatted. The correct statement is presented below:

Identify the type of function represented by f(x) = 3 · 1.5ˣ:

A. Quadratic

B. Exponential decay

C. Linear

D. Exponential growth

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Answer:

Step-by-step explanation:

There are 3 triangles in the picture: the one on the left, the one on the right, and the overall triangle. We must first find the areas of the two smaller triangles before finding the area of the whole thing.

To find the area of a triangle, you must multiply the two legs of the triangle by each other and then divide that number by 2. For the left triangle, this would be [tex](4*4)/2=8[/tex], meaning it has an area of 8 square meters. For the right triangle, this would be [tex](4*3)/2=6[/tex], meaning the triangle on the right has an area of 6 square meters.

There are multiple ways to find the area of the big triangle, since the hypotenuse of the left triangle has been rounded. One way to find the area of the big triangle,is to add the areas of the two smaller triangles: [tex]8+6=14[/tex] square meters. For a more exact answer, we would solve [tex](5.7*5)/2=14.25[/tex]sqaure meters using the legs of the big triangle.

Hope this helps! :)

Answer:

144 deaths

Step-by-step explanation:

So, assuming it's not a leap year 30,300 must be divided by the number of days in the year to get the daily amount.

30,300/365 = 114.339....

since 3 is not greater than 5, the 144 does not round up but stays the same.

(Since you cannot have a fraction of a death)

114 is your answer

hope this helps :)

Answer:

c

Step-by-step explanation:

As, there is no as such information regarding to number of students who collected exactly 4 bottles in histogram.

Answer:

$12089.26

Step-by-step explanation:

10,000

1.024 (100% of 10,000 + 2.4%)

1.024 * 10,000 = 10240 (1 year)

1.024 * 10240 = 10485.76 (2 years)

1.024 * 10737.42 = 10995.12 (3 years)

1.024 * 10995.12 = 11259 (4 years)

1.024 * 11259 = 11529.22 (5 years)

1.024 * 11529.22 = 11805.92 (6 years)

1.024 * 11805.92 = 12089.26 (7 years)