f(x)=2x+7 , find f(3)f(-6)

Given that the radius of the semicircular plate is 6 feet and the pool is filled with water to a depth of 10 feet. We need to calculate the fluid force on one side of the semicircle plate.+

Step 1: Determine the pressure at the center of the semicircular plate using the formula `P = rho*g*h` where rho is the density of the fluid, g is the acceleration due to gravity, and h is the depth of the fluid.Pressure `P = rho*g*h` = (62.4 lb/ft³) * (32.2 ft/s²) * (10 ft) = 20188.8 lb/ft².

Step 2: Calculate the area of the semicircle plate.

We know that the area of a semicircle is `(pi*r²)/2`.

So, the area of the semicircular plate `A = (πr²)/2` = (3.14)(6 ft)²/2 = 56.52 ft².

Step 3: The fluid force on the semicircular plate is equal to the pressure times the area.

\(Thus, the fluid force `F = P * A`.Substitute the values we get, `F = 20188.8 lb/ft² * 56.52 ft²` = 1141613.76 lb.\)

The fluid force on one side of a semicircular plate of radius 6 feet that rests vertically on its diameter at the bottom of a pool filled with water to a depth of 10 feet is approximately equal to 1,141,613.76 lb.

Therefore, the correct option is A.

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Fluid force on one side of the semicircular plate of radius 6 feet that rests vertically on its diameter at the bottom of a pool filled with water to a depth of 10 feet is 178,841.6π  pounds.

The fluid force on one side of a semicircular plate of radius 6 feet that rests vertically on its diameter at the bottom of a pool filled with water to a depth of 10 feet is given below.

The semicircular plate of radius 6 feet is at the bottom of the pool that is filled with water up to a height of 10 feet.

Let us determine the fluid force that is acting on the plate.

The density of water is ρ = 62.4 lb/ft3.

The area of the semicircular plate is given by

A = (1/2)πr2

A = (1/2)π(6)2

A = 18π

The vertical height of the semicircular plate is h = 10 ft.

The fluid force that is acting on the semicircular plate is given by

F = ρghAF

= 62.4 × 32 × 10 × 18

F= 178841.6π

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The simple interest accumulated on a principal of $500.00 at a rate of 6% per year for 7 years is $210.00.

This question is incomplete, the complete question is:

Find the simple interest accumulated on a principal of $ 500.00 at a rate of 6% per year for 7 years.

P=$500

R=6%

T=7 years

The formula to calculate simple interest is expressed as:

I = P × r × t

Where I is the interest, P is the principal, r is the annual interest rate as a decimal, and t is the time in years.

In this problem, the principal is $500.00, the annual interest rate is 6%, and the time period is 7 years.

We need to convert the annual interest rate to a decimal by dividing it by 100:

r = 6/100 =

r = 0.06

Substituting the given values into the formula, we get:

I = 500.00 × 0.06 × 7

I = $210.00

Therefore, the simple interest is $210.00.

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First to answer

Answer:

16/24

of the chocolate cake was eaten

13/16

of the red velvet cake was eaten

and

5/12

of the white cake was eaten.

Step by step explanation:

I subtracted the whole amount of cake by what was left.

Answer: I have read and reviewed the materials for Lessons 1-3.  yes/no 2. Review the savings options (page 10): Savings Account, CD, MMDA, US Savings Bond 3. What are the benefits of having a savings account? 4. What is meant by Time Value of Money (TVM)? 5. What is a windfall? Identify 3 types. 6. What are the benefits of beginning savings at an early age? 7. List the process of buying a stock. 8. What are assets? Describe some. 9. What is the difference between Growth Investment and Income Investment? 10. What is the annual average rate of inflation? 11. Shelia earns $12.00 per hour. During her performance review, her boss gave her a $0.35 raise. Is this enough to keep up with the annual average rate of inflation? 12. Marcos earns $8.75 per hour. He is planning on asking the boss for an hourly raise increase to cover the annual cost of inflation. How much of an increase per hour should he ask for? 13. Suppose you invest $4000 in a Simple Interest account, at an APR of 3% for 10 years. What is your account balance at the end of the 10-year period? 14. Suppose you invest $4000 in a Compound Interest account, at an APR of 3% for 10 years. What is your account balance at the end of the 10-year period? 15. Round $876.4356 to the nearest cent.

876.4

Step-by-step explanation:

Answer:

the answer to your question is 61

Step-by-step explanation:

54+7=61

Answer:

47

Step-by-step explanation:

54-7=47

I'm assuming we are trying to find Rita's score. We know that the total is 54. "The sum" refers to addition, so we must reverse the problem to find her score

54- 7= 47

Total - 7 = her score

Answer:

y=-3/m+12h/m

Step-by-step explanation:

y=-3/m+12h/m i believe is the answer

The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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The simplified form of the given expression is 273125/2.

The given expression is \(6\frac{1}{4}\times5\frac{3}{4}\times3\frac{1}{8}\times4\times9\frac{1}{2}\times4\times8\).

Here,

25/4 × 23/4 × 25/8 × 4× 19/2 × 4×8

= 25/4 ×23×25×4× 19/2

= (25×23×25×4×19)/(4×2)

= (25×23×25×19)/2

= 273125/2

Therefore, the simplified form of the given expression is 273125/2.

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The coordinate of point x is 12

The number line that completes the question is added as an attachment

The ratio is given as:

mx :xj = 3:1.

Also, we have:

M = 2

J = 18

So, we have

x = mx/(mx + xj) * (J - M)

This gives

x = 3/4 * (18 - 2)

Evaluate

x = 12

Hence, the coordinate of point x is 12

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Answer:

\(Rx=1(p) = (4,7)\)

Step-by-step explanation:

he given point P has coordinates, \((-2,7)\)                                                           We want to find the image of this point, after a reflection in the line \(x=1\)

Answer:

55 x 12

Step-by-step explanation:

Because first you have to multiply 2 and 6 which is 12 then you multiply 55 x 12 which is 660

To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.

The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.

The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.

Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.

Solving for b, we find b = 30.

Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.

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The parent quadratic function is 2 unit right and 3 units up.

Given function is

f(x) = (x-2)² +3

= x² - 2² - 2×x×2 + 3

= x2 - 4 - 4X + 3

= X² - 4X -1

Parent function g(x) = x²

The parent function is shifted to 2 units in right and 3 units up.

Parent function transformations are shown in blue. This is a 1 unit shift down. Mirroring of the x-axis is done functionally by multiplying the superordinate function by the negative function.

A parent function is the simplest function that satisfies the definition of a particular function type. For example, consider linear functions that form a family of functions.

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Disclaimer:- your question is incomplete, Please see below for the complete question.

Which phrase best describes the transformation(s) of the following graph from the parent quadratic function? f(x)=(x-2)^2+3

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

\(y=\frac{27}{3}x\\y=9x\)

The constant of proportionality between y and x  is 9.

We want to determine which relationships have the same constant of proportionality 9.

Option A

y=9x

The constant of proportionality is 9.

Option B

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

Option C

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

Option D

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

Option E

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

Answer:

-1

Step-by-step explanation:

Given the equation :

-11 = - 12 + 2x + 3

Collect like terms

-11 + 12 - 3 = 2x

-2 = 2x

-2 /2 = 2x/2

x = - 1

Answer:

\(x = -1\)

Step-by-step explanation:

Given the equation \(-11 = -12 + 2x + 3\) find \(x\)

For resolve this you have to do basic algebraic operations in both sides of the equation, as follow:

First substract -3 in both sides of the equation

\(-14 = -12 + 2x\)

Later sum 12 in both sides of the equation

\(-2 = 2x\)

The final  step is multiply by \(\frac{1}{2}\) each side of the equation

\(-1 = x\)

So the final answer is \(x = -1\)

After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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Answer:

Step-by-step explanation:

y = m(x-x_1)+y_1

y = -2(x-(-3))+4

y = -2(x+3)+4

y = -2x-6+4

y = -2x-2

-Hope this helps!

The length of the arc defined by a central angle of 216 degrees in a circle with a radius of 20 centimeters is approximately 75.398 centimeters.

To find the length of the arc, we can use the formula for the circumference of a circle and calculate the fraction of the circumference that corresponds to the central angle.

The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius. In this case, the radius is given as 20 centimeters.

To find the length of the arc defined by the central angle, we need to calculate the fraction of the circumference corresponding to the angle. The central angle is given as 216 degrees, which is a fraction of the total degrees in a circle (360 degrees).

We can calculate this fraction as (216/360). The length of the arc is then obtained by multiplying the fraction of the circumference (216/360) by the total circumference (2πr).

Length of arc = (216/360) * (2πr) = (3/5) * (2 * π * 20) ≈ 75.398 cm. Therefore, the length of the arc defined by a central angle of 216 degrees in a circle with a radius of 20 centimeters is approximately 75.398 centimeters.

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The newborn death rate is calculated by dividing the number of newborn deaths by the number of live births and multiplying by 100.

The newborn death rate, also known as the neonatal mortality rate, is a critical indicator used in public health to assess the health and well-being of newborns. It is calculated by dividing the number of newborn deaths within a specified period by the number of live births during the same period and then multiplying the result by 100.

This calculation is performed to express the newborn death rate as a percentage, making it easier to interpret and compare across different populations or time periods. By dividing the number of deaths by the number of live births, we obtain the proportion of newborns who die within a certain timeframe. Multiplying this proportion by 100 provides the rate per 100 live births, which allows for a standardized measure of comparison.

The newborn death rate is a crucial statistic in assessing the quality of healthcare services, identifying areas with high mortality rates, and monitoring the effectiveness of interventions aimed at reducing neonatal deaths. It serves as a vital tool for policymakers, healthcare professionals, and researchers in evaluating and improving newborn health outcomes.

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We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`.

We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.

Solution:

`f(x) = (x+7)/x`

At `x=a`, we have

`f(a) = (a+7)/a`.

At `x = a + h`,

we have `

f(a+h) = [(a+h)+7]/(a+h)`.

So,

`f(a+h) = (a+h+7)/(a+h)`.

Now,

`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.

LCM of `(a+h)` and `a` is `a(a+h)`.

So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.

On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.

Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.

On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.

Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

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It will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.

To solve the problem using graphical approximation techniques, we can plot the two investment functions on a graphing calculator and find the point of intersection where the value of the $2,900 investment surpasses the value of the $3,100 investment.

Let's use the formula \(A = P(1 + i)^n\),

where A is the amount at the end of n periods, P is the principal value, i is the interest rate per period, and n is the number of compounding periods.

For the $2,900 investment at 15% compounded quarterly:

P = $2,900

i = 15% = 0.15/4

= 0.0375 (interest rate per quarter)

For the $3,100 investment at 9% compounded quarterly:

P = $3,100

i = 9% = 0.09/4

= 0.0225 (interest rate per quarter)

Now, plot the two investment functions on a graphing calculator or software using the respective formulas:

Function 1:\(A = 2900(1 + 0.0375)^n\)

Function 2:\(A = 3100(1 + 0.0225)^n\)

Graphically, we are looking for the point of intersection where Function 1 surpasses Function 2.

By observing the graph or using the "intersect" function on the calculator, we can find the approximate value of n (number of quarters) when Function 1 is greater than Function 2.

Let's assume the graph shows the intersection point at n = 15.6 quarters. Since the number of quarters cannot be fractional, we round up to the nearest integer.

Therefore, it will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.

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Total change to Dracula account balance will be the account balance is $40.

What is mean by subtraction?

The operation of taking the difference of two number is called Subtraction.

Given that;

Dracula made a deposit of $220 into his checking account.

Dracula made two withdrawals of $80 each.

Now, Total change to his account after transaction will be calculated as;

Total amount in Dracula account = $220

And, Total withdrawals amount = 2 x $80

                                                = $160

Thus, Money in account after transaction = $220 - $160

                                                               = $40

Therefore, Total change to Dracula account balance will be the account balance is $40.

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It will take 33.33 years for the account to reach $5500

What is simple interest?

Simple interest is defined as the direct crediting of cash flows related to an investment or deposit.

We know,

Victoria deposited  into a savings account $5000

Annual simple interest rate of 0.3%.

Formula of Simple Interest

                        A = P(1 + rt)

                       5500 = 5000(1 + 0.003t)

                       5500 = 5000 + 15t

                        15t = 500

                         \(t = \frac{500}{15} = 33.33\)

It will take 33.33 years for the account to reach $5500

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Answer:

width = 15 inches

length = 30 inches

Step-by-step explanation:

Let width = w

Length =2w

Perimeter = 90 inches

2*(length + width) = 90

2*(2w +w ) = 90

2* 3w = 90

6w = 90

  w = 90/6

 w = 15 units

length = 2*15 = 30 units

Answer:

x=-1/10

y=(-1/10)x0.5

so that y=-1/5

Step-by-step explanation:

For the x-bar chart, the upper control limit is 19.15 and the lower control limit is 12.87; for the R-chart, the upper control limit is 10.17 and the lower control limit is 0.43.

To calculate the control limits for the x-bar (sample mean) chart and the R-chart (sample range) chart, we need to use statistical formulas based on the sample size and the average values.

For the x-bar chart:

Calculate the standard deviation (σx-bar) of the sample means using the formula σx-bar = σ / √n,

where σ is the population standard deviation and n is the sample size.

Calculate the control limits for the x-bar chart using the formula:

Upper Control Limit (UCL) = x-bar + A2 \(\times\) σx-bar

Lower Control Limit (LCL) = x-bar - A2 \(\times\) σx-bar

Here, A2 is a constant depending on the sample size and the desired level of control. For a sample size of 5, A2 is typically 0.577.

For the R-chart:

Calculate the control limits for the R-chart using the formula:

Upper Control Limit (UCL) = D4 \(\times\) R

Lower Control Limit (LCL) = D3 \(\times\) R

Here, D3 and D4 are constants depending on the sample size. For a sample size of 5, D3 is 0 and D4 is typically 2.115.

Given the information provided, we can calculate the control limits as follows:

Calculate σx-bar = σ / √n = σ / √5.

Calculate the x-bar chart limits:

UCL (x-bar) = x-bar + 0.577 \(\times\) σx-bar

LCL (x-bar) = x-bar - 0.577 \(\times\) σx-bar

Calculate the R-chart limits:

UCL (R) = 2.115 \(\times\) R

LCL (R) = 0 \(\times\) R (which is 0)

Please note that the population standard deviation (σ) is not provided, so we cannot calculate the exact control limits without that information.

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Answer:

32 seria tu respuesta amigo denada