Suppose each cube in this right rectangular prism is a 1/2-inch unit cube.




1.What are the dimensions of the prism?

2.What is the volume of the prism?

Answer:

Step-by-step explanation:

K.E. = \(\frac{1}{2}\)m\(v^{2}\)

So,

=1/2 x 113 x 0.5 x 0.5

=1/2 x 1/2 x 1/2 x 113 (Because, 0.5 = 1/2)

=1/8 x 113

= 14.125 J

Using the kinetic energy formula, the kinetic energy of the baby elephant is 14.125 joules

Given the Parameters :

Recall :

The kinetic energy of the baby elephant can be calculated thus :

Kinetic energy = 0.5 × 113 × 0.5² = 14.125 Joules

Therefore, the kinetic energy of the baby elephant is 14.125J

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Answer:

24.5

Step-by-step explanation:

38.5 / .5π =

The graph of f(x) = -2⁻ˣ is given as attached.

To graph the function f(x) = -2⁻ˣ, we can follow these steps:

1. Choose a set of x-values to plot on the x-axis. Since the function has an exponent that involves negative powers of 2, we should choose values that are evenly spaced on the x-axis, such as -3, -2, -1, 0, 1, 2, and 3.

2. Substitute each x-value into the function to find the corresponding y-value. For example, when x = -3, we have f(-3) = -2⁻³ = -1/8. Similarly, we can find the y-values for the other x-values we chose.

3. Plot the points (x, y) on the graph. Make sure to label the axes and use a ruler or graphing software to ensure accuracy.

4. Connect the points with a smooth curve to show the shape of the function between the plotted points. Since the function has a negative exponent, it approaches zero as x gets larger, so the curve should approach the x-axis as it moves to the right.

The resulting graph should show a decreasing curve that gets closer and closer to the x-axis, without ever touching it, as x gets larger.

Note that the values of y for each x are:

When x = -3, y = -1/8

When x = -2, y = -1/4

When x = -1, y = -1/2

When x = 0, y = -1

When x = 1, y = -2

When x = 2, y = -4

When x = 3, y = -8

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The cost of producing x bottles is given by the equation c = 0.35x + 2100.  The cost of producing 600 bottles is $2310.

The cost of producing x bottles is given by the equation c = 0.35x + 2100. To find the cost of producing 600 bottles, we substitute x = 600 into the equation.

Plugging in x = 600, we have c = 0.35(600) + 2100.

Simplifying, c = 210 + 2100 = 2310.

Therefore, the cost of producing 600 bottles is $2310.

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Using Heron's formula we will get that the area is 7.68 cm²

For a triangle whose sidelengths are s₁, s₂, and s₃, Heron's formula for the area is:

A = √(s*(s - s₁)*(s - s₂)*(s - s₃))

Where:

s = (s₁ + s₂ + s₃)/2

Here we have:

s₁ = 4cm

s₂ = 4cm

s₃ = 4.8cm

Then:

s = (4cm + 4cm + 4.8cm)/2 = 6.4 cm

Then the area is:

A = √( (6.4)*( 6.4 - 4)*( 6.4 - 4)*( 6.4 - 4.8))

A = 7.68 cm²

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Answer:

Step-by-step explanation:

The process here is to find out how far the tire travels in one rotation, then multiply that by 100. That means we need to find the circumference of the tire since the circumference tells us how far around the outside of the tire it is in inches.

C = πd where d is the diameter of the tire.

C = 3.1415(26) so

C = 81.679 inches. Multiply that by 100 to get

8167.9 inches, which in miles is a little over 1.5 miles

Answer: A. 60 inches

Step-by-step explanation: 18 x 12 is 216 (area) so 18 + 18 + 12 + 12 = perimeter aka 60 inches.

Answer:

10 more shawties

Step-by-step explanation:

30-20 = 10

x=8

Step-by-step explanation:

move the +2 to the right side so it can be subtracted by the 5 to get 3. after that you square both sides of the equation to get rid of the square root symbol. then move the -7 to the right side and add it with 9. then you'll have 2x=16. then divide both sides by 2 to get x by its self and you are left with x =8

We have verified Chebyshev’s inequality for k = 2 and k = 3 when x ∼ binomial(50, 0.4).

Main answer :Using r’s "pbinom" function, we can verify Chebyshev’s inequality for k = 2 and k = 3 when x ∼ binomial(50, 0.4).The P(X ≤ μ + 2σ) and P(X ≤ μ + 3σ) values were obtained from the "pbinom" function for k = 2 and k = 3, respectively.

Supporting explanation :Chebyshev’s inequality states that for any data set, the proportion of the data within k standard deviations of the mean is at least 1 – 1/k^2, where k is a constant greater than 1. This holds true regardless of the shape of the distribution. To verify Chebyshev’s inequality for k = 2 and k = 3 when x ∼ binomial(50, 0.4), we first calculate the mean and standard deviation using the formula μ = np and σ = sqrt(npq), where n = 50, p = 0.4, and q = 0.6. Thus, μ = 20 and σ = 2.83.Then, we use the "pbinom" function in R to obtain the values of P(X ≤ μ + 2σ) and P(X ≤ μ + 3σ) for k = 2 and k = 3, respectively. For k = 2, P(X ≤ 25.66) = 0.9975, and for k = 3, P(X ≤ 28.49) = 0.9995.These values are greater than or equal to 1 – 1/k^2, where k = 2 and k = 3, respectively.

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Answer:

\(\huge\boxed{\sf p = 48\°}\)

Step-by-step explanation:

Since, interior angles of a triangle add up to 180 degrees.

So,

S + Q + R = 180°

S + 44 + 40 = 180

S + 84 = 180

Subtract 84 to both sides

S = 180 - 84

S = 96°

Since S is divided into two p angles because ST is an angle bisector (dividing the angle into two "equal" parts)

So,

S =  p + p

S = 2p

96 = 2p

Divide both sides by 2

48 = p

OR

p = 48°

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

A. The shape has perpendicular but not parallel lines.

Step-by-step explanation:

The shape is a right triangle, which has a 90 degree angle. This means that two of the sides are perpendicular because they meet each other at a right angle. None of the lines are parallel because if any of the sides were to never meet, there would not be a closed shape.

Answer:

2.50 is the answer of the question

Answer:

The temperature is of -4º at midnight.

The temperature has to rise by more than 4º after midnight to be above freezing.

Step-by-step explanation:

The day starts out at 2° and warms up 9° more by noon.

So temperature of 2 + 9 = 11º at noon.

It warms another 2° before dropping quickly 17° by midnight.

The temperature after midnight is of:

11º + 2º - 17º = 13º - 17º = -4º.

The temperature is of -4º at midnight.

How many degrees would the temperature need to rise after midnight to be above freezing?

Add x, has to be higher than 0. So

-4º + x > 0º

x > 4º

The temperature has to rise by more than 4º after midnight to be above freezing

The solution of the algebraic expression (8h-1)-(h+ 3) is -25.

Given:

The given expression in the question is:

(8h-1)-(h+ 3); Value of h = -3​

Putting the value of h in the expression

8(-3)-1 - ((-3)+3)

= -24-1 -0

= -25

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Answer:

  a(b+c-d)

Step-by-step explanation:

Each term has a factor of "a", so that can be factored out. The remaining factor cannot be factored any further.

  ab +ac -ad = a(b +c -d)

Answer:

a(b + c - d)

Step-by-step explanation:

'a' is common to all three terms of the given expression.  Thus, the expression in factored form is a(b + c - d).

Answer:

i think it is .50

Step-by-step explanation:

Answer:

0.78

Step-by-step explanation:

45/100 + 18/100 + 15/100 = 78/100

Answer:

Where is the graph my friend??

Calculate the angle Z in the top triangle : 180 - 62 - 80 = 38

Since angle C is supplementary to angle D, angle C = 180 - 147 = 33

Since triangle XYZ doesn't have a 33 angle, these triangles do not have 3 same angles -> They are not similar.

The inequalities that represent the constraints in this situation are r+c≥80 and 1.45R +0.75c≤200 respectively

The amount with victor = $200

Let the number of roses purchased by Victor be R,

Also, Rose cost $1.45 each

Therefore cost of rose = 1.45R

A;so, let the number of carby Victor be C at a cost of $0.65 each nation purchased by victor be $0.65 each

Therefore, cost of carnation = $0.65c

1) The inequality to represent the constraint that every person takes home at least one rose is r+c≥80 and

2) the inequality to represent the cost constraint is 1.45R + 0.65≤200

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This equation cannot be met, Robinson and Friday are unable to trade grain for meat under the accepted norms of the closed economy.

To find the maximum quantity of grain Robinson and Friday can jointly consume per week when they produce 16 units of meat, we need to substitute the given quantity of meat (M = 16) into either Robinson's or Friday's production possibility curve equation and solve for G.

Let's use Robinson's equation: G = 21 - 7M

Substituting M = 16:

G = 21 - 7(16)

G = 21 - 112

G = -91

Since the result is negative, it implies that Robinson and Friday cannot jointly consume a positive quantity of grain when they produce 16 units of meat per week.

Regarding the second part of the question, the maximum admissible terms of trade between Robinson and Friday refer to the exchange rate at which they can trade grain for meat within the closed economy.

We need to find the rate at which the marginal rate of transformation (MRT) between grain and meat for either Robinson or Friday is equal to the given terms of trade.

Using Robinson's production possibility curve equation: G = 21 - 7M

Taking the derivative with respect to M: dG/dM = -7

For the closed economy, the MRT should be equal to the terms of trade (11.8 units of grain per unit of meat):

-7 = 11.8

This equation is not satisfied, which means that there is no admissible terms of trade within the closed economy that allows Robinson and Friday to exchange grain for meat.

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answer

use pythagorean theorem:

d^2 = 12^2 + 5^2

d^2 = 144 + 25

d^2 = 169

d = sqrt(169)

d = 13

the length of the diagonal should be 13 feet

Julia must sell 21 tacos to meet the requirement .

Given: Price of each taco = $ 3.75

Price of each burrito = $ 6

Total amount of money she needs to earn = $ 330

Also the number of burritos sold= 42.

So the total amount earned on selling these burritos= 42× 6 = $ 252

And as it is given that total money she needs to earn is $ 330 .

so required money= $ 330- $ 252

=$ 78

Thus the total number of tacos she needs to sell = 78/ price of 1 taco

= 78/ 3.75

= 20.8 ≈ 21

Thus Julia must sell 21 tacos to meet the requirement .

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Answer:

A

Step-by-step explanation:

\(g(x)=\frac{x-7}{4}\)

g(15)=2

The volume of 0.100 M NaOH required to completely react with 50.0 mL of 0.500 M H₂SO₄ is 500 mL.

To find the volume of 0.100 M NaOH required to completely react with 50.0 mL of 0.500 M H₂SO₄, we can use the balanced chemical equation for the reaction between NaOH and H₂SO₄:

2 NaOH + H₂SO₄ → Na₂SO₄ + 2 H₂O

From the equation, we can see that 2 moles of NaOH react with 1 mole of H₂SO₄. This means that the mole ratio of NaOH to H₂SO₄ is 2:1.

First, let's calculate the number of moles of H₂SO₄ in 50.0 mL of 0.500 M H₂SO₄.

Moles of H₂SO₄ = (concentration of H₂SO₄) x (volume of H₂SO₄)
                = 0.500 M x 0.0500 L
                = 0.0250 moles

Since the ratio of NaOH to H₂SO₄ is 2:1, the number of moles of NaOH needed to completely react with the given amount of H₂SO₄ is also 0.0500 moles.

Now, let's find the volume of 0.100 M NaOH that contains 0.0500 moles of NaOH.

Volume of NaOH = (moles of NaOH) / (concentration of NaOH)
                 = 0.0500 moles / 0.100 M
                 = 0.500 L
                 = 500 mL

Therefore, 500 mL of 0.100 M NaOH is required to completely react with 50.0 mL of 0.500 M H₂SO₄.

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we can say that functions (a) and (b) are the functions whose least integer n such that f(x) is 0(xⁿ) is 3.

Given functions:

a) f(x) = 2x³ + x²logxb) f(x) = 3x³ + (log x)c) f(x) = (x² + x² + 1)/(x³ + 1)d) f(x) = (x² + 5log x)/(x³ + x)

For a function to be 0 (xⁿ), where n is a natural number, the highest power of x must be n.

Therefore, we need to identify the degree of each function: a) f(x) = 2x³ + x²logx

Here, the degree of the function is 3. Hence, n = 3.

Therefore, f(x) is 0(x³)

b) f(x) = 3x³ + (log x)

The degree of the function is 3. Hence, n = 3. Therefore, f(x) is 0(x³)

c) f(x) = (x² + x² + 1)/(x³ + 1)

The degree of the function in the numerator is 2.

The degree of the function in the denominator is 3.

Therefore, the degree of the function is less than 3. Hence, we cannot express it as 0(xⁿ).

d) f(x) = (x² + 5log x)/(x³ + x)

The degree of the function in the numerator is 2.

The degree of the function in the denominator is 3.

Therefore, the degree of the function is less than 3. Hence, we cannot express it as 0(xⁿ).

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Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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a) A function that expresses f(x) is f(x) = 1.5x.

b) A graph of the function is shown in the image below.

c) The domain and range of the function are all real numbers or [-∞, ∞].

Assuming the variable x represent the amount of a transaction and the variable f(x) represent the amount Isabel is charged for the transaction, a linear function charges on each sale by the credit card company can be written as follows;

f(x) = 1.5x

Part b.

In this exercise, we would use an online graphing tool to plot the function f(x) = 1.5x as shown in the graph attached below.

Part c.

By critically observing the graph shown below, we can logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-∞, ∞] or all real numbers.

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Complete Question:

A transaction is positive if there is a sale and negative when there is a return. Each time a customer uses a credit card for a transaction, the credit company charges Isabel. The credit company charges 1.5% of each sale and a fee of 0.5% for returns.

a) Let x represent the amount of a transaction and let f(x) represent the amount Isabel is charged for the transaction. Write a function that expresses f(x).

b) Graph the function.

c) What are the domain and range of the function?

The probability that the volume of soda in a randomly selected bottle will be less than 64.0 oz will be 0.4013

Given,

The volumes of soda in tested soda bottles are normally distributed.

The mean of the distribution, μ = 64.6 oz

Standard deviation, σ = 2.40 oz

We have to find the probability that the volume of soda in a randomly selected bottle will be less than 64.0 oz;

Let x be the volume of randomly selected quart soda bottle.

z score = (x - μ) / σ = (64 - 64.6) / 2.4 = -0.25

Then,

The probability that the volume of soda in a randomly selected bottle will be less than 64​ oz

P(x < 64) = P(z < -0.25) = 0.4013

That is,

The probability that the volume of soda in a randomly selected bottle will be less than 64.0 oz will be 0.4013

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Answer: The answer is C

Step-by-step explanation: