A food bank sends a truck with 400 pounds of food to each of five local food pantries every week, and receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000 pounds of food on hand at the begining of July , how much will it have six weeks later?

Answer: A

Step-by-step explanation:

\(\left(\frac{7}{8} \right)\left(-\frac{32}{49} \right)(14)(m^{2}n)(mn^{3})(mn^{2})=\boxed{8m^{4}n^{6}}\)

The value of given equation i.e. \(m^{3} -\frac{1}{m^{3} }\) is \(\frac{63}{8}\)

Given a equation i.e.\(\frac{m-1}{m}\)=3 and asked  to calculate the value of the equation  \(m^{3} -\frac{1}{m^{3} }\)

To calculate the value of   \(m^{3} -\frac{1}{m^{3} }\) , Need to use various operations like subtraction and division)

Given .\(\frac{m-1}{m}\)=3

⇒m-1=3m ( cross multiplies 3 and m)

⇒2m=-1( subtraction is used)

⇒m=-\(\frac{1}{2}\)( division is used)

Thefore the value of m in the given equation i.e.\(\frac{m-1}{m}\)=3 is -\(\frac{1}{2}\)

⇒ \(m^{3} -\frac{1}{m^{3} }\)

Here the value of m =-\(\frac{1}{2}\)

Substituting the value of m in the given equation

⇒\((\frac{-1}{2} )^{3}\)-\((-2)^{3}\)

⇒\(\frac{-1}{8}\)+8(addition is used)

⇒\(\frac{64-1}{8}\)

⇒\(\frac{63}{8}\)

Therefore, the value of the given equation i.e.  \(m^{3} -\frac{1}{m^{3} }\) is \(\frac{63}{8}\)

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The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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Rounding to the nearest percent, we get that the percent change in the number of migrating cranes from the first March to the next is approximately -50%.

To calculate the percentage, we must first divide the amount by the total value and then multiply the result by 100.

To find the percent change in the number of migrating cranes from the first March to the next, we can use the formula:

percent change = ((new value - old value) / old value) × 100%

where the old value is the number of migrating cranes in the first March and the new value is the number of migrating cranes in the next March.

Substituting the given values, we get:

percent change = ((3480 - 6955) / 6955) × 100%

Simplifying, we get:

\percent change = (-3475 / 6955) × 100%

percent change ≈ -50%

Rounding to the nearest percent, we get that the percent change in the number of migrating cranes from the first March to the next is approximately -50%.

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Answer:

54 kg

Step-by-step explanation:

Total weight of 7 boys is 392 kg. And other 6 boys total weight is 338 kg.

So the 7th boy's weight is (392-338)=54 kg

Answer:

54

Step-by-step explanation:

338÷6=56.33

so it means that 7th boy is less than 56

338+54=392

392÷7=56

Answer:

The answer should be D. $20.25+$5.25x; $99

Step-by-step explanation:

y=mx+b

m=$5.25

x=15

b=$20.25

This gives us:

5.25x + 20.25

5.25(15)+20.25

78.75+20.25

y=99

Answer: 20.25 + 5.25x ; 99

Hope this helps!

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given points

STEP 2: Plot these points

STEP 3: Get the new points from the given function

STEP 4: Plot these new points also

Hence, the type of mapping here is One-to-One

The cost function for the Goto Corporation is C(x) = 0.1x² - 25x + 550

From the question, we have the following equations that can be used in our computation:

Profit function, p(x) = -0.2x^2 + 250x - 550

Revenue function, r(x) = -0.1x^2 + 225x

These functions can be expressed as

Profit function, p(x) = -0.2x² + 250x - 550

Revenue function, r(x) = -0.1x² + 225x

The cost function is the difference between the revenue and the profit

So, we have

C(x) = R(x) - P(x)

Substitute the known values in the above equation, so, we have the following representation

C(x) = -0.1x² + 225x + 0.2x² - 250x + 550

Evaluate the like terms

C(x) = 0.1x² - 25x + 550

Hence. cost function is C(x) = 0.1x² - 25x + 550

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9 nickels,

1 quarter and 4 nickels

only 2

Answer:

20 units

Step-by-step explanation:

1) find the side of the first square

side = P / 4 = 12:4 = 3 units

2) find the side of the second square

side = P / 4 = 16 : 4 = 4 units

3) use the Pythagorean theorem to find the hypotenuse of the right triangle

\(\sqrt{4^2 + 3^2} = \sqrt{16 + 9} = \sqrt{25} = 5\) units

4)  find the perimeter of the third square

P = side x 4 = 5 x 4 = 20 units

Answer:

20 units

Step-by-step explanation:

Answer: 66

Step-by-step explanation:

Answer:

y = -5x - 5

Step-by-step explanation:

Given the standard form of an equation as y=mx+c

m is the slope

c is the intercept

Using the coordinate points

(1, 0) and (0,-5)

m = -5-0/0+1

m = -5/1

m = -5

Get the intercept

Intercept is the point where thee line cuts the y axis. intercept is -5

Get the equation:

Recall that y = mx+c

y = -5x + -5

y = -5x - 5

This gives the required equation

Answer

Center: (1,-12)

Radius: 5

Work

\(x^{2}\)+\(y^{2}\)-2x+24y+120=0 (Subtract 120 on both sides and rearrange)

\(x^{2}\)-2x+\(y^{2}\)+24y=-120 (Then divide 2 by 2 and square it. Do the same for 24.)

\(x^{2}\)-2x+1+\(y^{2}\)+24y+144=-120+1+144 (You have to add the same numbers on both sides)

\((x-1)^{2} +(y+12)^2=25\) (Simplify)

So you would put (1,-12); r=5

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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If a line parallel to one side of a triangle contacts the other two sides of the triangle, the line proportionally splits these two sides. If DE = BC, then ADDB=AEEC.

If a line parallel to one side of a triangle contacts the other two sides, the two sides are proportionately divided.

The formula for a proportional equation is y = kx. The letters y and x denote the variables in the equation. The letter k represents the proportionality constant, which is fixed.

Because matching angles produce the AA similarity shortcut, when a line is drawn parallel to one side of a triangle, two similar triangles are generated. Because the triangles are comparable, the parallel line segments are proportionate segments.

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The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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Answer:

x=4

Step-by-step explanation:

-2x+19=3x-1

+2x        +2x

19=5x-1

+1       +1

20=5x

/5   /5

4=x

x=4

The  differential equation for the quantity,  Q' = -kQ + r; Q = r/k (1-\(e^{-kt}\) ) and the limiting long-run value of Q = x/k

A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate proportional to the quantity present, with a constant of proportionality k > 0.

Remember that the differential equation is an equation that contains the derivative of the unknown function.

a) It is given that the rate of change is directly proportional to the quantity dQ/dt ∝ Q

dQ/dt ∝ Q

dQ/dt = -kQ

So, Q' = -kQ + r

where quantity Q is increasing with constant rate r and k is unknown constant.

b) Q' = -kQ + r

dQ/dt = -kQ + r

log(-kQ + r) = -kt -kC

By taking exponential both side, we get

-kQ + r = e power kt+a

-kQ = -r + \(e^{-kt +a}\)

-Q /k= -r/k + /1/kBe\(^{-kt +a/k}\)

Q = -r/k -1/k Be\(^{-kt}\)

At t = 0, Q = 0

1/KB = r/k

B = r

By substituting the value in the above equation

Q = r/k (1-e\(^{-kt}\) )

c) The limiting long-run value of Q, therefore, Q is r/l

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The value Q =

Answer: The given expression can be factorized as (2k - 3)(k² - 1) using the difference between squares.

Step-by-step explanation: To factorize the given expression using the difference between squares, we need to identify terms that can be written as the square of some other term.

We can rewrite the expression as:

(2k³ - 3k²) - (2k - 3)

Now, we can factor out the common terms from each bracket:

k²(2k - 3) - 1(2k - 3)

We can see that both brackets have a common factor of (2k - 3), which we can factor out:

(2k - 3)(k² - 1)

Therefore, the given expression can be factorized as (2k - 3)(k² - 1) using the difference between squares.

Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

a)The expected profit is $4,000. b)The standard deviation for the profit is approximately $4,898.98.

a) To calculate the expected profit, we multiply the profit by the probability of it happening:

Expected profit = Profit * Probability

Given:

Profit = $10,000

Probability = 40% = 0.4

Expected profit = $10,000 * 0.4 = $4,000

Therefore, the expected profit is $4,000.

b) To find the standard deviation for the profit, we need more information about the probability distribution of the profit. If we assume that the profit follows a Bernoulli distribution (with only two possible outcomes: getting the contract or not), we can calculate the standard deviation using the formula:

Standard deviation = √(Probability * (1 - Probability) * Profit^2)

Given:

Profit = $10,000

Probability = 40% = 0.4

Standard deviation = √\((0.4 * (1 - 0.4) * $10,000^2)\)

                = √(0.4 * 0.6 * $100,000,000)

                = √(24,000,000)

                ≈ $4,898.98

Therefore, the standard deviation for the profit is approximately $4,898.98.

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Answer:

ABCDEFG = 3211000

Step-by-step explanation:

A counts the number of zeroes, and there are 3 zeroes (E, F, G), so A = 3.B counts the number of ones, and there are 2 ones (C, D), so B = 2.C counts the number of twos, and there is 1 two (B), so C = 1.D counts the number of threes, and there is 1 three (A), so D = 1.There is no four, five, six in, so E, F, G are all zeroes.

The next term of the sequence is -1.

Given, a sequence is defined recursively by the formula

f(n + 1) = f(n) + 3.

The first term of the sequence is -4.

We, have to find the next term of the sequence,

On using the formula of the sequence, we get

f(n + 1) = f(n) + 3

As, f(1) = -4

Put n = 1,

f(1 + 1) = f(1) + 3

f(2) = f(1) + 3

f(2) = -4 + 3

f(2) = -1

So, the next term of the sequence is -1.

Hence, the next term of the sequence is -1.

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Answer:

3(x)+5(y) = 95

Step-by-step explanation:

I'm pretty sure this is correct, maybe double check, but I hope this helps :)

X is the amount of hotdogs bought, and y is the amount of hamburgers bought.

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer: e

Step-by-step explanation:

because you need the degrees the center and if it is either clockwise or counter clockwise

Answer:

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)

Step-by-step explanation: