Which equation can be used to find the volume of this solid?

4 cm

5 cm

TTT

3 cm)

O V-3x5x4

O V-3+5+4

O V=5x4

OV=3x5

Answers:

C. 128

E. 200

Explanation:

We have two options, there are 160 students in fifth grade or there are 160 students in sixth grade

If there are 160 students in fifth grade, we can formulate the following proportion:

Where x is the total for the other grade (sixth grade). So, solving for x, we get:

So, one of the answers is 200

On the other hand, if there are 160 students in sixth grade, the proportion is equal to:

Where y is the total for the other grade (fifth grade). So, solving for y, we get:

So, the other answer is 128

Therefore, the answers are C. 128 and E. 200

Answer:

Your answer is b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

When talking about constant speed, we are referring to a ray (line with an initial point); in this case, the initial point is the origin (cero), because in cero time the car travels cero distance. On the other side, the problem says that the car is traveling at a constant speed of 92 mph. It means that (92 miles, 1 hour) is a point of the ray. Thus, we just need to graphic or draw the ray that passes through both points.

Answer:

Explanation: The words "more than" in mathematical terms refer to the process of addition. In this case, we need to have 8 more than x , or x+8 . Hence, the answer, x+8

Answer:

After 2 minutes the temperature of the hot chocolate will be 149.46 degrees Fahrenheit.

Step-by-step explanation:

We are going to use the Newton's law of cooling to solve this exercise. The Newton's law of cooling states that the amount of heat lost by a body is proportional to the difference of temperature between the body and the enviroment. We are going to use the following function :

T(t)=T_{0}+(T_{i}-T_{0}).e^{-kt}T(t)=T

0

+(T

i

−T

0

).e

−kt

Where ''T(t)'' is the temperature of the body that depends of the variable ''t'' which is time.

Where T_{0}T

0

is the temperature of the surroundings

In this case T_{0}T

0

is the temperature of the freezer

Where T_{i}T

i

is the initial temperature of the body which is cooling. In this case, T_{i}T

i

is the temperature of the hot chocolate

And where ''k'' is a constant. In this case, k=0.12k=0.12 is a data of the exercise

If we replace all the values in the equation and replacing t=2minutest=2minutes

⇒

T(2minutes)=0+(190-0).e^{-(0.12).(2)}T(2minutes)=0+(190−0).e

−(0.12).(2)

T(2minutes)=(190).(e^{-0.24})=149.46T(2minutes)=(190).(e

−0.24

)=149.46

We find that the temperature of the hot chocolate after 2 minutes is 149.46 degrees Fahrenheit

Answer:

45600 cm = 45600 mL

Step-by-step explanation:

1 milliliter = 1 cubic centimeter

The final answer is 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C, where C represents the constant of integration. The expression is given in terms of x only.

To evaluate the given integral, we can use trigonometric substitution. Let's substitute x = 4sinθ, which allows us to rewrite the integrand in terms of θ. The differential becomes dx = 4cosθ dθ.

Using this substitution, the integral transforms into ∫(4sinθ)²√(16-(4sinθ)²)(4cosθ) dθ. Simplifying this expression yields 16∫sin²θ√(1-cos²θ)cosθ dθ.

We can apply the double-angle identity sin²θ = (1-cos2θ)/2 to simplify further. This results in 8∫(1-cos2θ)√(1-cos²θ)cosθ dθ.

Next, we can apply the trigonometric identity sin(2θ) = 2sinθcosθ to obtain 8∫(sinθ-sin³θ) dθ.

Finally, integrating term by term and substituting back x = 4sinθ, we arrive at the final answer of 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C. This expression represents the antiderivative of the given function in terms of x only, where C represents the constant of integration.

Learn more about trigonometric substitution here:

https://brainly.com/question/32150762

#SPJ11

Answer:

A vesting period is the time an employee must work for an employer in order to own outright employee stock options, shares of company stock or employer contributions to a tax-advantaged retirement plan.

Answer: Hello! I believe the answer is 25/4. I'm so sorry if this is incorrect!

The volume of the cylinder with a radius of 10 inches and height of 9 inches would be 2,826 cubic inches.

To calculate the volume of a cylinder, we use the formula V = πr²h, where V represents volume, π is approximately 3.14, r is the radius of the base, and h is the height of the cylinder.

Given that the cylinder has a volume of 30 cubic inches, we can set up the equation as follows:

30 = 3.14 × r² × h

To solve for the volume, we need to know the values of both the radius and height of the cylinder. Without this information, we cannot determine the exact volume.

However, if we are provided with the radius and height, we can substitute the values into the formula and calculate the volume accordingly. In this case, we can use the given formula V = πr²h with π = 3.14, the radius (r), and the height (h) to find the volume. The result will be in cubic inches, as indicated.

For example, let's say the radius of the cylinder is 10 inches and the height is 9 inches. Substituting these values into the formula, we have:

V = 3.14 × (10²) × 9

V = 3.14 × 100 × 9

V = 3.14 × 900

V = 2,826 cubic inches

Therefore, the volume of the cylinder with a radius of 10 inches and height of 9 inches would be 2,826 cubic inches.

To know more about formula click here

brainly.com/question/30098455

#SPJ11

Step-by-step explanation:

As given in question that Skyler buys 8 T-shirts and 5 hats for $220.

The next day, he buys 5 T-shirts and 1 hat for $112.

We have to find the cost of T-shirt and hat each.

Let the cost of T-shirt and hat is x and y respectively.

According to the question,

8x + 5y = 220          ............(i)

5x + 1y = 112             ............(ii)

Multiply by 5 in eq. (ii)

25x + 5y = 560        ............(iii)

Now subtract eq. (iii) - eq. (i)

25x + 5y = 560

- 8x + 5y = 220

17x = 340

\(x = \frac{340}{17}\)

∴ x = 20

Put the value of x in eq. (ii)

5 x 20 + y = 112

100 + y = 112

y = 112 - 100

∴ y = 12

Area of the scale drawing is 10 square inches. Area of the actual deck would be 160 square feet.

Area of the actual deck would be 16 times the area of the scale drawing.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given scale drawing can be made into two squares.

One with a side length of 1 inch and other with side length of 3 inches.

Area of a square with side length 'a' = a²

Area of the given scale drawing = (1 inch)² + (3 inches)²

                                                     = 1 inch² + 9 inches²

                                                     = 10 inches²

If the scale is 1 inch = 4 feet,

Area of the actual deck = (1 × 4 feet)² + (3 × 4 feet)²

                                       = 4² [(1 feet)² + (3 feet)²]

                                       = 4² (10)

                                       = 160 feet²

Area of the actual deck = 160 feet²

                                        = 16 (Area of the scale drawing)

If the scale is 1 inch = k feet,

Area of the actual deck = k² ( Area of scale drawing)

                                        = 10 k² square feet

Hence the area of the actual deck would be 10k² if the scale is 1 inch = k feet.

Learn more about Area here :

https://brainly.com/question/12916755

#SPJ9

The probability that the first lefty is either the third or the fifth person chosen is approximately 0.073 or 7.3%.

To solve this problem, we first need to find the probability that the first lefty is the third person chosen. This can be done using the following formula:

P(first lefty on third pick) = (0.25 * 0.75 * 0.25) = 0.046875

In this formula, the first term (0.25) represents the probability of selecting a lefty on the first pick. The second term (0.75) represents the probability of not selecting a lefty on the second pick, since we have already selected one person. The third term (0.25) represents the probability of selecting a lefty on the third pick, since we have not yet selected a lefty in the first two picks.

Next, we need to find the probability that the first lefty is the fifth person chosen. This can be done in a similar way:

P(first lefty on fifth pick) = (0.25 * 0.75 * 0.75 * 0.75 * 0.25) = 0.0263671875

In this formula, the first term (0.25) represents the probability of selecting a lefty on the first pick. The second, third, and fourth terms (0.75) represent the probability of not selecting a lefty on the second, third, and fourth picks, since we have already selected one or more people. The fifth term (0.25) represents the probability of selecting a lefty on the fifth pick, since we have not yet selected a lefty in the first four picks.

Finally, we can add the two probabilities together to get the overall probability that the first lefty is either the third or the fifth person chosen:

P(first lefty is third or fifth) = P(first lefty on third pick) + P(first lefty on fifth pick)

P(first lefty is third or fifth) = 0.046875 + 0.0263671875

P(first lefty is third or fifth) = 0.0732421875

Therefore, the probability that the first lefty is either the third or the fifth person chosen is approximately 0.073 or 7.3%.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ11

When two opposite sides of a rectangle increase in length, the other two opposite sides decrease in length if the area of the rectangle is to remain constant. Thus, option (B) is the correct answer.

How do I find the length of opposite sides of a rectangle?

In a rectangle, the opposite sides are of equal length. As a result, if you have the length of one side of a rectangle, you can find the length of the opposite side. Furthermore, if you know the length and width of a rectangle, you can find the area, perimeter, and diagonal of the rectangle.

The area of a rectangle is given by A = l × w,

where A represents the area, l represents the length, and w represents the width.

To find the length and width of a rectangle, use the formula A = l × w.

If you know the length of one side of a rectangle, you can calculate the length of the opposite side because the opposite sides of a rectangle are equal in length.

for more questions on rectangle

https://brainly.com/question/25292087

#SPJ11

There are no restrictions on the value of h for which b is in the plane spanned by a1 and a2

To determine if vector b is in the plane spanned by vectors a1 and a2, we need to see if there exist scalars c1 and c2 such that b = c1a1 + c2a2.

Let's set up this equation and solve for h:

b = c1a1 + c2a2

⇔

left bracket Start 3 By 1 Matrix 1st Row 1st Column 4 2nd Row 1st Column 8 3rd Row 1st Column h End Matrix right bracket

c1 * left bracket Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 4 3rd Row 1st Column −1 End Matrix right bracket

c2 * left bracket Start 3 By 1 Matrix 1st Row 1st Column −7 2nd Row 1st Column −24 3rd Row 1st Column 3 End Matrix right bracket

This gives us the system of equations:

c1 - 7c2 = 4

4c1 - 24c2 = 8

-c1 + 3c2 = h

We can solve this system using Gaussian elimination or another method to get:

c1 = -2h/5

c2 = -(3h + 20)/35

Now, we need to ensure that there exist values of c1 and c2 that satisfy these equations for any value of h. In other words, we need to make sure that the system of equations has a solution for any value of h.

One way to do this is to use the determinant of the coefficient matrix of the system. If the determinant is nonzero, then the system has a unique solution for any value of the constants on the right-hand side (in this case, the vector b).

The determinant of the coefficient matrix is:

left| Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column negative 7 3rd Column negative 1 2nd Row 1st Column 4 2nd Column negative 24 3rd Column 3 3rd Row 1st Column negative 1 2nd Column 3 3rd Column 0 End Matrix End| right| equals 100 \(\neq\) 0

Since the determinant is nonzero, there exists a unique solution for any value of b, and therefore a unique value of h that satisfies the system of equations.

Therefore, b is in the plane spanned by a1 and a2 for any value of h.

In other words, there are no restrictions on the value of h for which b is in the plane spanned by a1 and a2

Learn more about plane spanned

brainly.com/question/30460170

#SPJ11

Answer:

Step-by-step explanation:

Step 1

Find the height:

Step 2

Find the area:

83.52

A

Step-by-step explanation:

jsjdhhhdh

hshshhdh

gshdhdh

gdgshhs

hdhdh

Answer:

yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much

Step-by-step explanation:

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

To know more about mathematical operations visit:
https://brainly.com/question/8959976

#SPJ9

Step-by-step explanation:

DISCUSSION QUESTIONS (DQ's).

1. Is division always a negative in a religious faith? Why or why not?

Using the Z-table, you can find the z-score that corresponds to a cumulative probability of 0.70, which is approximately 0.52. So, the z-score for the 7th decile on the standard normal curve is 0.52.

To find the z-score that corresponds to the 7th decile of the standard normal curve, we first need to determine the cumulative probability up to that point.

The 7th decile represents the point where 70% of the data lies below it and 30% lies above it. Using a standard normal distribution table or calculator, we can find the z-score that corresponds to a cumulative probability of 0.70.

The z-score that corresponds to a cumulative probability of 0.70 is approximately 0.524. Therefore, the z-score that corresponds to the 7th decile of the standard normal curve is 0.524.

To find the z-score corresponding to the 7th decile on the standard normal curve, you'll need to use the cumulative probability distribution function (also known as the Z-table or standard normal table). The 7th decile represents the point where 70% of the data is below it, so you'll be looking for a cumulative probability of 0.70.

Using the Z-table, you can find the z-score that corresponds to a cumulative probability of 0.70, which is approximately 0.52. So, the z-score for the 7th decile on the standard normal curve is 0.52.

Visit here to learn more about probability  : https://brainly.com/question/11234923
#SPJ11

Answer:

the answer is b please give me the braiblist answer

Answers:

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

Explanation:

If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).

Relations 1 and 3 don't have this issue, so they are functions.

Answer:

Step-by-step explanation:

a.

2y - 3x = 5

2(-2) - 3x = 5

-4 - 3x = 5

-3x = 9

x = -3

(-3,-2) is another solution

b.

(-1,1)

2y - 3x = 5

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

2 + 3 = 5

5 = 5

true, the point is a solution to the equation because the equation is true after substituting x and y with the point (-1,1)

(4,1)

2y - 3x = 5

2(1) - 3(4) = 5

2 - 12 = 5

-10 = 5

not true, the point is not a solution to the equation because the equation is not true after substituting x and y with the point (4,1)

c. You can use the points from the given (-1,1) and (-3,-2) to form a line. You then shade whichever half solves the solution using points on the graph.

With sides that are 4 cm, 3 cm, and 7 cm long, a triangle cannot be built. Because the sum of the other two sides does not exceed that of the third side.

A triangle is referred to as a three-sided polygon that has three vertices. The connection of the three sides ends to end at a single point forms the angle of the triangle. The sum of these angles adds up to 180 degrees.

The triangle's three sides are specified as being 4 cm, 3 cm, and 7 cm. Add the two sides together and see if the result exceeds the third side to determine whether these sides constitute a triangle.

Here, the sum of two sides 4 cm and 3 cm is calculated as,

A+B = 4+3

=7 cm

This sum is equal to the third side C = 7 cm.

Therefore,  \(A+B\ngtr C\). So, the given sides don't form a triangle.

To know more about triangles:

https://brainly.com/question/22737630

#SPJ4

Answer:

yes

Step-by-step explanation:

have a nice day

Answer:

Volume ≃ 113.1

at least that's what g oogle says

Hope this helps ;u;

Answer:

5 more adults than students have phones.

Step-by-step explanation:

55% of 80 students have phones. This is:

.55 × 80, which is 44 students.

For adults, 98% of 50 is .98 × 50, which is 49.

49 adults have phones. 44 students have phones.

49 - 44 is 5

5 more adults have phones than students.

You can find the coefficient of variation for your data set using a TI-84 calculator by following the below steps.

To find the coefficient of variation (CV) using a TI-84 calculator, follow these steps:

1. Enter the data set values into a list on your calculator. For example, if your data is stored in the list L1, enter the values into L1.

2. Calculate the mean of the data set using the calculator's statistical functions. Press the [STAT] button and navigate to the "Calc" menu. Choose the appropriate mean function (e.g., "1-Var Stats" or "mean") and select the list that contains your data (e.g., L1).

3. Calculate the standard deviation of the data set using the calculator's statistical functions. Press the [STAT] button, navigate to the "Calc" menu, and choose the appropriate standard deviation function (e.g., "1-Var Stats" or "stdDev"). Select the list containing your data (e.g., L1).

4. Divide the standard deviation by the mean and multiply by 100 to calculate the coefficient of variation. Store the standard deviation and mean values in variables if necessary. Use the formula CV = (stdDev / mean) * 100 to calculate the coefficient of variation.

By following these steps, you can find the coefficient of variation for your data set using a TI-84 calculator.

Learn more about TI-84 calculator here

https://brainly.com/question/32748414

#SPJ4

To find the coefficient of variation on a TI-84 Plus calculator, enter the dataset into a list, calculate the mean and standard deviation, and then divide the standard deviation by the mean and multiply by 100.

To find the coefficient of variation on a TI-84 Plus calculator, follow these steps:

By following these steps, you can find the coefficient of variation for a dataset using a TI-84 Plus calculator.

About coefficient of variation here:

https://brainly.com/question/30783938

#SPJ11

   "

Answer:

a. 677

Step-by-step explanation:

Add the three scores, 690+ 691+651 then divide by 3

equals to 677.3 so by rounding to the nearest whole point it’s 677.

The mean credit score of Ned is 677. The correct answer would be option (A).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

The mean credit score of Ned can be calculated by adding all three credit scores and dividing the sum by 3.

So, (690 + 691 + 651) / 3

= 2032 / 3

= 677.33

Rounding to the nearest whole point, we get

= 677

Therefore, the mean credit score of Ned is 677.

Learn more about Arithmetic means here:

brainly.com/question/13000783

#SPJ6

To determine the derivative g'(x) of the piecewise function g(x), we need to calculate the derivatives for each piece of the function separately. For x ≤ 4, we differentiate the function x^2 - 4x + 6/3 to find the derivative in that range. For x > 4, we differentiate the function x/3 to find the derivative in that range. By combining these derivatives, we can express g'(x) as a new piecewise function that describes the derivative of g(x).

a) To write the derivative g'(x), we differentiate each piece of the function g(x) separately. For x ≤ 4, the derivative of x^2 - 4x + 6/3 is 2x - 4/3. For x > 4, the derivative of x/3 is 1/3. Therefore, the derivative g'(x) can be written as:

g'(x) = 2x - 4/3 if x ≤ 4

g'(x) = 1/3 if x > 4

b) To determine if the derivative of g'(x) exists at x = 4, we check if the derivatives from both sides match. The derivative from the left side, 2x - 4/3, evaluates to 2(4) - 4/3 = 8 - 4/3 = 20/3. The derivative from the right side, 1/3, also evaluates to 1/3. Since the two values are equal, the derivative of g'(x) exists at x = 4, and its value is 20/3.

To know more about piecewise function here: brainly.com/question/28225662

#SPJ11

#Complete Question:- Problem 4: Putting the Pieces Together (6 points) Now that we have calculated the derivative g^{\prime}(x) for x=4, x4 , we can summarize our results as a new piecewise function. Then we will use our formula to answer one more question about the derivative. a) (3 points) Fill in the blanks to write the derivative g'(x). (Hint: Watch your variable l We want g ′(x), not g'(a) ).) As you can see, the derivative g ′(x) is a new function in its own right. And just like any other function, we can investigate its derivative, if it exists. b) (3 points) Use the skills you learned from Problems 1 and 2 to determine if the derivative of g ′(x) exists at x=4, If this derivatives does exist, find its value. If it does not exist, state this Either way. EXPLAIN. A piecewise defined function h is given by the formula g(x)= \(\left \{ {{x^2 -4x+6} \atop {3\sqrt{x} }} \right. { {{if x\leq 4} \atop {x > 4}} \right.\)    We want to find the derivative of this function for all values of x, if the derivative exists. We'll do this in-three steps: - Finding the derivative at the problematic point x=4, - Finding the derivative for all points x<4, and - Finding the derivative for all points x>4. Once we have the derivative for each piece, we'll summarize our results by writing the derivative h(x) as another piecewise function.