A rectangular box has a volume x^3-64 cubic inches. If the height of the box x-4 inches, what is the area of the base of the box, in square inches ?

Answer:

-17.00 dollars.

Step-by-step explanation:

Answer:

D

Step-by-step explanation

Keep in mind that her balance is already -$2.00

If she deposit or withdrawal any money for three days, she will be charged $15 (5 x 3 = 15). So the answer would be -$17.00 (D) because you add -$15 and -$2 (her original balance).

Answer:

14 is D but I don't 15 question answer

Answer:

[tex]x \ge -2[/tex]

Step-by-step explanation:

The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.

[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].

But in the function f(g(x)), the input to  f  is g(x) = x + 5, so x + 5 must be greater than or equal to 3.

[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]

Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function.  See if it helps to call the domain of g by the name x, and the domain of f by some other name.

[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]

The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]

Answer:

Step-by-step explanation:

5 and 4 are the numbers

5+4=9

5-4=1

Answer:

The test statistic is [tex]z = 1.25[/tex]

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

[tex]H_0: p = 0.8[/tex]

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

[tex]H_a: p > 0.8[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

80% is tested at the null hypothesis:

This means that [tex]\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that [tex]n = 100, X = \frac{85}{100} = 0.85[/tex]

The test statistic is

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]z = 1.25[/tex]

The test statistic is [tex]z = 1.25[/tex]

Answer:

Step-by-step explanation:it’s c

Answer:

240 units²

Step-by-step explanation:

Rectangle = 20x10=200

2 triangles = 2x1/2x4x10=40

200+40=240

Answer:

x = 8

Step-by-step explanation:

add all side lengths to find the perimeter

5x + 6x + 5 + 6x +3 = 144 add like terms

17x + 8 = 144 subtract 8 from both sides

17x = 136 divide both sides by 17

x = 8 to find the side lenghts replace x with 8 in each expression

Step-by-step explanation:

3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,

2y^2 = 12 ---> y^2 = 6

or

y = √6

4.This is an equilateral triangle of side 11 so

y = 11/2

To find x, use the definition of sine 60:

sin 60° = opp/hyp

= x/11

or

x = 11sin60° = (11√3)/2

Answer:

v = 1.6

Step-by-step explanation:

Divide 11.2 by 7 to get your answer for v which is 1.6.

Answer:

Hello! answer: v = 1.6

Step-by-step explanation:

What it is asking is what multiplied by 7 = 11.2 so all we have to do is 11.2 ÷ 7 to get that!! so...

11.2 ÷ 7 = 1.6 and we can always check are work to make sure we are correct so...

7 × 1.6 = 11.2 So v does = 1.6 Hope that helps!

Answer:

D

Step-by-step explanation:

Answer:

2(1)²−1= 1

2(2)²−1= 7

2(3)²−1= 17

2(4)²−1= 31

2(5)²−1= 49

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

Let's Draw a Picture!

10 x 16 = 160, 160 x 2 = 320

22 x 10 = 220, 220 x 2 = 440

16 x 22 = 352, 352 x 2 = 704

Let's add all the given areas:

704 + 320 + 440 = 1464, A is your answer

I dont know about 6 or 5.

Answer:

Hence, the mean of the potato chips lie between the interval [tex](1.006, 1.194)[/tex]

Given :

data is :

  [tex]1.1,1.2,1.0,0.9,1.1,1.3,1.2,1.1,1.0[/tex]

Confidence level is [tex]95\%[/tex].

To find :

Confidence interval.

Explanation :

Mean [tex]\bar{x}[/tex] [tex]=\frac{\sum x}{n}[/tex]

  [tex]\Rightarrow \bar{x}=\frac{1.1+1.2+1.0+0.9+1.1+1.3+1.2+1.1+1.0}{9}[/tex]

  [tex]\Rightarrow \bar{x}=\frac{9.9}{9}[/tex]

 [tex]\Rightarrow \bar{x}=1.1[/tex]

Standard deviation [tex]\sigma[/tex] [tex]=\sqrt{\frac{\sum (x-\bar{x})^2}{n-1}}[/tex]

   [tex]\Rightarrow \sigma=\sqrt{\frac{\sum (x-\bar{x})^2}{n-1}}=0.122[/tex]

here, [tex]\alpha=1-\;\text{confidence level}[/tex]

     [tex]\Rightarrow \alpha=1-0.95=0.05[/tex]

[tex]Z_{\frac{\alpha}{2}}=Z_{0.05}=2.306[/tex] by the Z- table

[tex]95\%[/tex] confidence interval is :

    [tex]\bar{x}\pm Z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}[/tex]

[tex]\Rightarrow 1.1\pm 2.306\times \frac{0.122}{\sqrt{9}}[/tex]

[tex]\Rightarrow 1.1\pm 2.306\times \frac{0.122}{3}[/tex]

[tex]\Rightarrow 1.1\pm 0.094[/tex]

[tex]\Rightarrow (1.006, 1.194)[/tex]

Therefore, the mean of the potato chips lie between the interval [tex](1.006, 1.194)[/tex]

Answer:

Step-by-step explanation:

[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]

Step-by-step explanation:

the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work

Answer:

1. A square root

2. one distinct endpoint

3. The square root of

on edg

have a nice day! :)

Step-by-step explanation:

1. The function graphed to the left is function. A square root

2.  The curve has and continues infinitely in one direction.

one distinct endpoint

3.  Each y-value is each corresponding x-value. the square root of

The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.

1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.

The graph shown is known as the graph for square root functions.

2. The curve has one distinct end point and continues infinitely in one direction.

3. The square root of each corresponding x-value.

   Each value of y is the corresponding square root of x- values.

Learn more about this concept here:

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Answer:

115

Step-by-step explanation:

all angles in a quadrilaterals add up to 360 so you do

65+85+95=245

360-245=115

Answer:

Part A: 84 boxes

Part B: Explained below

Part C: 2 layers of boxes high

6 boxes width per layer

7 boxes length per layer

Step-by-step explanation:

Part A:

In terms of height, we can see that there are 3 boxes

In terms of width, we can see that there are 4 boxes.

In terms of length, we can see that there are 7 boxes.

Thus, number of boxes = 3 × 4 × 7 = 84 boxes

Part B:

What I've just done in part A is same as V = l × w × h

Thus is because if we take one strip vertically, we will see just height and length.. But since they are stacked and of same size, we will just multiply by the number of rows that make up the width to get the total number of boxes that form the prsim.

Part C:

Since he wants it to be 2 layers high, we can only put 1 box on another one.

Now, he wants the width to be less than 14 inches,which means that there should be less than 14/2 = 7 boxes. So let's adopt 6 boxes along the width.

He wants the length to be less than 30 inches. This means that the length should be less than 30/2 = 15 boxes

Since we know that the height has 2 layers, it means number of boxes along the width and length = 84/2 = 42 boxes

Let's find multiples of 42 and they are;

1, 2, 6, 7, 21, 42.

Looking at these multiples, the most appropriate to use will be 6 and 7.

Thus,he can use 6 boxes as width per layer and 7 boxes as length per layer

Thus, he will stack the boxes as follows;

2 layers of boxes high

6 boxes width per layer

7 boxes length per layer

Answer:

a) The expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].

b) The expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].

c) The expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].

Step-by-step explanation:

The statement is incomplete. Complete form is introduced below:

Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel stated rotating.

a) Write an expression (in terms of t) to represent the varying number of radians [tex]\theta[/tex] Ryan has swept out since the ride started.

b) Write an expression (in terms of t) to represent Ryan's height (in feet) above the center of the Ferris wheel.

c) Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.

a) Let suppose that Ferris wheel rotates counterclockwise. As the Ferris wheel rotates at constant rate, this kinematic expression can be used to determine the change in angular position ([tex]\theta[/tex]), in radians:

[tex]\theta = \omega \cdot t[/tex] (1)

Where:

[tex]\omega[/tex] - Angular velocity, in radians per minute.

[tex]t[/tex] - Time, in second.

If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex], then the expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].

b) Geometrically speaking, Ryan's height with respect to the center of the Ferris wheel is described by the following formula:

[tex]H(t) = r \cdot \sin (\omega\cdot t)[/tex] (2)

Where:

[tex]r[/tex] - Radius of the Ferris wheel, in feet.

[tex]H(t)[/tex] - Height of Ryan with respect to the center of the Ferris wheel, in feet.

If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].

c) We use the following geometric expression to model Ryan's height above the ground:

[tex]H(t) = r\cdot \sin (\omega\cdot t) +h_{o}[/tex] (3)

Where [tex]h_{o}[/tex] is the height of the center of the Ferris wheel above the ground, in feet.

If we know that [tex]h_{o} = 47\,ft[/tex], [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].

Answer:

It's easy.

Step-by-step explanation:

The square root of something is just the reverse of some squared.

For example, if you do 3 to the power of 2 (3^2) you get 9. now if you reverse that you would do square root. [tex]\sqrt{9}[/tex] would be 3. Think of it like multiplication and division. If you do 10*5 you get 50. All you have to do is reverse it after that  50/5 = 10. See.

The only difference it square(2) root and squared(2) are only with the number 2. Meaning you can't do 3 to the power of 3 (3^3) and expect to square root it to get the reverse. For example, 3 to the power of 3 (3^3) is 27. But the square root of 27 is NOT 3, it is 5.2

You get it?

Answer:

30(3+x) is the answer to your question:)

Answer:

3x(12x-5)(3x-2)..........

Answer:

(b) 68

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Diagonal:

Diagonals are a line between opposite points in a square.

In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So

[tex]D = \sqrt{(5-0)^2+(3-0)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}[/tex]

Then sum of the squares of its both diagonals is units

Both diagonals measure [tex]\sqrt{34}[/tex]. Sum of squares is:

[tex](\sqrt{34})^2 + (\sqrt{34})^2 = 34 + 34 = 68[/tex]

The correct answer is given by option b.

The measures of its acute angles are 46.97 and 43.03degrees

A triangle is a 2-D shape that has 3 sides and angles

For the right triangle:

It states that the square of the longest side is equal to the sum of the square of the other two sides.

The hypotenuse is expressed as:

h² =14² + 15²

h = √196 + 225

h = 20.52

Get the acute angles

Sin theta = opp/hyp

Sin theta = 15/20.52

Sin theta = 46.97 degrees

The other acute angle will be  90 - 46. 97 = 43.03

Hence the measures of its acute angles are 46.97 and 43.03degrees

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Answer:

Step-by-step explanation::

Answer:

9√6

Step-by-step explanation:

4√6+5√6

=(4+5)√6

=9√6

Answer:

1) P=49

A=187

2)P=59

A=221

3)P=32

A=96

4)P=132

A=660

5)P=42

A=130

6)P=34

A=24

Step-by-step explanation:

area of a triangle is bh/2

perimeter is s1+s2+hypotenuse (add all sides)

side note: number 6, i don't know if that is right. It makes no sense.

side note: I don't know if you wanted perimeter and area for all triangles included triangles inside triangles or just the big triangles so... If I got it wrong sorry. I just did perimeter and angle for the big triangles.

Answer:

Its an Isosceles triangle. The two bases are equal

So

x= 180-(62+62)

x=56°.

Answer:

x = 56

Step-by-step explanation:

As you can see two angles are congruent, as the two tally marks suggest so. Therefore not only does the left angle measure 62 but also the right angle does as well. Therefore, further indicating that we are dealing with an isosceles triangle in this scenario. So you would come up with the equation 62(2) + x = 180 because all the angles together add up to get you 180 degrees. So once you say 62 times 2 to get 124 you would subtract that by 180; giving you 56 degrees for x.

Answer:

A and B

[tex] {x}^{2} + 3x - 3 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3± \sqrt{21} }{2} [/tex]