A ball shaped like a sphere has a radius of 1.5 feet. What is the measurement of the volume of the ball in cubic feet?​

Answer:

B

Step-by-step explanation:

The solution of the expression is x=0 and it is the only solution that is an integer.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that evaluates to a numerical value or an algebraic expression.

To do this, we need to pick a range of x values and substitute them into each equation to find the corresponding y values.

Next, we need to find the points of intersection between the two curves. These are the x values where the two curves cross each other and have the same y value. To find these points, we will set the two equations equal to each other and solve for x:

=> x=5x−x³

Expanding this equation, we get

=> 4x³+x=0.

Factoring this equation, we get

=> x(4x²+1)=0.

This gives us two solutions, x=0 and x=±i√(1/4), where i is the imaginary unit. Since x can only take on real values, x=0 is the only solution that is an integer.

Complete Question:

Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s), and evaluating them. Place your numerical answer for the area of the region in the box. Leave your answer in exact form.

y = x,

y = 5x−x³

To know more about expression here.

https://brainly.com/question/14083225

#SPJ4

Answer:

-15

Step-by-step explanation:

g(x) = -4x + 5, find g(5)

Let x = 5

g(5) = -4*5 +5

      = -20 +5

     = -15

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

Read more on graphs:

https://brainly.com/question/19040584

#SPJ1

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

<95141404393>

Answer:

Step-by-step explanation:

sum of their cubes=0.334125

The ratio of three numbers is 2:3:4.

Let the numbers be 2x, 3x and 4x.

Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3

(8x^3) + (27x^3) + (64x^3) = 99x^3

99x^3 = 0.334125

x^3 = (0.334125) / 99

x^3 = 0.003375

x^3 = (0.15)^3

x = 0.15

Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6

The two lines L1 and L2 are parallel

For two lines to be parallel the slope must be equal, hence we calculate the slope of the two lines

The slope, m of the linear function L1 is calculated using the points (–2, 9) and (1, 3)

m = (y₀ - y₁) / (x₀ - x₁)

m = (9 - 3) / (-2 - 1)

m = (6) / (-3)

m = -2

The slope, m of the linear function L2 is calculated using the points (–4, 10) and (3, –4)

m = (y₀ - y₁) / (x₀ - x₁)

m = (10 + 4) / (-4 - 3)

m = (14) / (-7)

m = -2

The lines are parallel

Learn more about linear functions at:

https://brainly.com/question/30125370

#SPJ1

Answer:

4*x^2+5x

Explanation:

Answer:

Step-by-step explanation:

hmm

Answer:

hsjsbdjkdowjd nskdkndbdndkckdbnd

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer:

22.9 ft

Step-by-step explanation:

the height of the wall that reached by the ladder = √ (25²-10²)

=√(625-100)

=√525

= 22.9 ft

We have that  The Total Number of People is

\(X\approx 137\)

From the question we are told that

sample of 200

income is $48,000 per year

standard deviation of $9000

Generally the equation for the Ratio of people  is mathematically given as

\(Y=P(\frac{39000-48000}{9000}<z<\frac{57000-48000}{9000})\\\\\Y=P(z<1))-(1-p(z-1))\\\\Y=0.8413-0.1582\\\\\Y=0.6826\)

Therefore

The Total Number of People is

\(X=0.6826*200\\\\X\approx 137\)

For more information on this visit

https://brainly.com/question/14310262?referrer=searchResults

We have the following statement: "A varies jointly as both b and h."

We have to find a mathematical model for this statement.

When a variable varies jointly as other variables, it means it has a proportional relationship to them.

In this case, we have a variable A, which caries jointly with b and h, so we can write a general model as:

where k is the constant of proportionality and it can take any non-zero value.

For example, if k=2, we have:

Then, for any change in b or h (or both together), we have a proportional variation in A.

Answer:

The general model is A = k*b*h.

\(\texttt{speed} = {\dfrac{d}{t}\)

distance = 30 km

t = 3 hr

\(\texttt{speed}=\dfrac{30}{3}\)

\(\fbox{\texttt{speed} = 10 km/hr}\)

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Step-by-step explanation:

the answer is 4000

yep for sure

The absolute value function that matches the graph is given as follows:

y = -|x + 1| + 1.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex in this problem are given as follows:

(-1, 1).

Hence:

y = a|x + 1| + 1.

The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:

a = -1.

Thus the function is:

y = -|x + 1| + 1.

More can be learned about absolute value functions at brainly.com/question/3381225

#SPJ1

Answer:

-3

Step-by-step explanation:

For f = 5 - (7 + x) + 2, substitute x with 3.

f = 5 - (7 + 3) + 2

f = 5 - 10 + 2

f = -5  + 2

f = -3

I hope this helps!

Answer:

The equationin slope-intercept form is

Explanation:

The equation of a line in slope-intercept form is written as:

y = mx + c

Where m is the slope of the given line, and c is the y-intercept.

From the question,

slope, m = 1/4, and y-intercept, c = 2

Using these, the equation of the line is:

Answer:

$1.98.

Step-by-step explanation:

Given the following question:

5% of $13.15

To find the answer we simply use the formula to calculate percentage.

\(\frac{t\times i}{100}\)
\(\frac{15\times13.15}{100} =15\times13.15=197.25\div100=1.9725\)
\(1.9725\)
Round to the nearest cent:
\(1.9725\)
\(2<5\)
\(1.98\)

The sales tax was "$1.98."

Hope this helps.

Answer:

2658

Step-by-step explanation:

Answer: Huh

Step-by-step explanation:

Why would you throw away points

The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

For more questions on Payment .

https://brainly.com/question/27926261

#SPJ8

Answer:

400 litres

Step-by-step explanation:

Answer:

685.75

Step-by-step explanation:

650*0.055+650

Answer:

here,

area=6a^2

now,

area= 6 × 4^2

= 6 × 16

= 96cm^2