help please find the volume

Answer:

b -2(b - 2)

b-2b+4

-b+4

4-b

Answer:

8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

-10 + x(-2)

x = -9

Step 2: Evaluate

Answer:

Possibly 24 just posibly

Step-by-step explanation:

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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Answer:

t = 2 and t = 3.

Step-by-step explanation:

To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:

2^t = 4Taking the logarithm base 2 of both sides:

t = log2(4)

t = 2For u = 8:

2^t = 8Taking the logarithm base 2 of both sides:

t = log2(8)

t = 3

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

6.2

Step-by-step explanation:

Answer:

The answer to this problem is 6.2

Step-by-step explanation:

The Algebraic expression is a 2ℓ+2w for ℓ= 5.7 and w = 6.2

Answer: 6 units

Step-by-step explanation:

|-5.4| + |0.6|

5.4 + 0.6 = 6 units

A linear function is used to represent functions that have a constant rate

A linear function is represented as:

\(y=mx + b\)

Where

For restaurant warehouse:

Start by calculating the slope (m) using:

\(m = \frac{r_2 -r_1}{n_2 -n_1}\)

So, we have:

\(m = \frac{499.15 - 329.20}{10-5}\)

\(m = \frac{169.95}{5}\)

\(m = 33.99\)

The equation is then calculated as:

\(r = m(n -n_1) + r_1\)

So, we have:

\(r = 33.99(n -5) + 329.20\)

Expand

\(r = 33.99n -169.95 + 329.20\)

\(r = 33.99n +159.25\)

For supply side:

Start by calculating the slope (m) using:

\(m = \frac{s_2 -s_1}{n_2 -n_1}\)

So, we have:

\(m = \frac{399.15 - 209.20}{10-5}\)

\(m = \frac{189.95}{5}\)

\(m = 37.99\)

The equation is then calculated as:

\(s = m(n -n_1) + s_1\)

So, we have:

\(s = 37.99(n -5) + 209.20\)

Expand

\(s = 37.99n -189.95 + 209.20\)

\(s = 37.99n +19.25\)

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Answer:21,700

Step-by-step explanation:

The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;

⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit

⇒ Gross Profit = USD 65 - USD 35 - USD 15

⇒ Gross Profit = USD 15

Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

The third angles in the given cases are:a) 68°b) 79°c) 106°d) 120°e) 64°.

To calculate the third angle of a triangle in which two of the angles are given, we need to use the fact that the sum of all the angles of a triangle is always 180°. Let's use this fact to solve each case given:a) Two angles are given as 47° and 65°. To find the third angle, we subtract the sum of the given angles from 180°.

That is, third angle = 180° - (47° + 65°) = 68°.b) Two angles are given as 24° and 77°. Similar to the previous case, the third angle = 180° - (24° + 77°) = 79°.c) Two angles are given as 56° and 18°. The third angle = 180° - (56° + 18°) = 106°.

d) Two angles are given as 39° and 21°. The third angle = 180° - (39° + 21°) = 120°.e) Each of the two angles is given as 58°. To find the third angle, we subtract twice the value of one of the given angles from 180°. That is, third angle = 180° - (2 × 58°) = 64°.

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Answer:

40 dollars

Step-by-step explanation:

2/10*200=40

Answer:

The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.

Step-by-step explanation:

for derby dragon;

mean height = 72 inches

standard deviation = 1.2 inches

for aviston aces:

mean height = 70.8

standard deviation = 0.7 inches

for balwin bears;

mean height = 73 inches

standard deviation = 1.0 inches

the mean height of aviston aces < mean height of derby < mean height of balwin bears

So on average the balwin bears are taller.

The standard deviation of derby dragon is > that of balwin bears > aviston aces.

So the more consistent height is that of aviston aces players.

Answer:

Area of triangle is 1 inches²

Step-by-step explanation:

We are given:

Base of triangle = 16 inches

Height of triangle = \(\frac{1}{8} \:\) inches

We need to find:

Area of triangle

The formula used to find Area of triangle is:

\(Area \:of\: triangle=\frac{1}{2}\times b \times h\)

where b is base and h is height.

Putting values and finding area:

\(Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2\)

So,  Area of triangle is 1 inches²

Answer:

Trapezoid: \(31.59cm^{2}\)

Square: \(96.04 miles^2\)

Circle: \(314.15926535898 miles^2\)

Rectangle: \(44.7miles^2\)

Step-by-step explanation:

I labeled one of the pictures wrong, but if you look at the numbers, you should be able to tell them apart ;)

I hope I helped, and I always appreciate brainliest!!! :)

Answer:

4 Zebras

Step-by-step explanation:

I can only see that she have 5 elephants, possibly more, however it's cut off. If that's true. Then:

If she has 5 elephants (which is currently what she has the most of) and 2 zebras. She needs 4 more zebras. Then she will have 6 zebras. More then any other animal.

Answer:

assuming the elephant has the most dots, as i cant see the full picture, then she needs to collect 4 more because she has 2 already.

Step-by-step explanation:

The elephant has 5 dots

the zebra has 2 dots

4+2=6

Answer: 1560

Step-by-step explanation: The average rate of change of a function over an interval is the total change in the value of the function divided by the length of the interval. In this case, the function is f(x) = 10(2)^x and the interval is [3, 5].

To find the average rate of change of the function over the interval, we can first evaluate the function at the two endpoints of the interval, which are x = 3 and x = 5. At x = 3, the function has a value of f(3) = 10(2)^3 = 80. At x = 5, the function has a value of f(5) = 10(2)^5 = 3200.

The total change in the value of the function over the interval is then the difference between the values at the two endpoints, which is f(5) - f(3) = 3200 - 80 = 3120.

The length of the interval is 5 - 3 = 2, since it goes from x = 3 to x = 5. Therefore, the average rate of change of the function over the interval is the total change in the value of the function divided by the length of the interval, which is (3120) / 2 = 1560.

Therefore, the average rate of change of the function f(x) = 10(2)^x on the interval [3, 5] is 1560.

The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

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The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Answer:

a

The null hypothesis is  \(H_o : \sigma^2_1 = \sigma^2 _2\)

The alternative hypothesis is \(H_a : \sigma_1 ^2 > \sigma^2_2\)

b

\(F_{critical} = 1.8608\)

c

\(F = 2.9085\)

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  \(n_1 = 30\)

 The sample variance for elementary school is  \(s^2_1 = 8324\)

 The second sample size is  \(n_2 = 30\)

  The sample variance for the secondary school is  \(s^2_2 = 2862\)

   The significance level is  \(\alpha = 0.05\)

The null hypothesis is  \(H_o : \sigma^2_1 = \sigma^2 _2\)

The alternative hypothesis is \(H_a : \sigma_1 ^2 > \sigma^2_2\)

Generally from the F statistics table  the critical value of \(\alpha = 0.05\) at first and  second degree of freedom \(df_1 = n_1 - 1 = 30 - 1 = 29\) and  \(df_2 = n_2 - 1 = 30 - 1 = 29\) is  

         \(F_{critical} = 1.8608\)

Generally the test statistics is mathematically represented as

       \(F = \frac{s_1^2 }{s_2^2}\)

=>   \(F = \frac{8324 }{2862}\)

=>   \(F = 2.9085\)

Generally from the value obtained we see that  \(F > F_{critical }\) Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

The correct r code to build a linear regression model with response variable y and explanatory variable x is option a. lm(y~x).

The code lm(y~x) will create a linear model with y as the response variable and x as the explanatory variable.

The lm() function in r is used for linear regression, and the formula y~x indicates that y is the response variable and x is the explanatory variable. The other options, lr(y~x) and lm(y, are not correct r code for building a linear regression model.

In summary, the correct r code for building a linear regression model with response variable y and explanatory variable x is lm(y~x).

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Answer:

11/84 was the amount he was left with

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer:

16 are cats

Step-by-step explanation:

64 x 25%

64 x .25

16

Answer:

there are 16

Step-by-step explanation:

beacuse 25% of 64 is 16 like duh