The Semmes Library will raise funds by selling bumpers stickers. The equation p = 2s − 20 is used to calculate the profit the library earns (p) if a certain number of bumper stickers (s) are sold. Which table has values that correspond to the equation?

There are 155 integers between 1 and 1000 where all the digits are odd.

To find the number of integers between 1 and 1000 where the digits are odd, we can use the following steps:
1. Determine the number of odd digits: There are 5 odd digits between 0 and 9 (1, 3, 5, 7, 9).
2. Determine the number of digits in the integers: The integers between 1 and 1000 can have 1, 2, or 3 digits.
3. Calculate the number of integers for each digit case:
For 1-digit integers, there are 5 options (1, 3, 5, 7, 9).
For 2-digit integers, there are 5 options for the first digit and 5 options for the second digit (since repetition is allowed), giving us a total of 5×5 = 25 options.
For 3-digit integers, there are 5 options for each digit, giving us a total of 5×5×5 = 125 options.
4. Add up the number of integers for each digit case:
5 + 25 + 125 = 155
Therefore, there are 155 integers between 1 and 1000 where all the digits are odd.

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The function that gives the amount of money in dollars, j(n), in Jamie’s account n years after the initial deposit is J(n) = P(1 + (r/3)/100)³ⁿ.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, Jamie deposits $627 into a savings account and the account has an interest rate of 3.5%, compounded quarterly.

P = $627, r =  3.5%.

We know the formula for compound interest compounded quarterly is

A = P(1 + (r/3)/100)³ⁿ.

Or

J(n) = P(1 + (r/3)/100)³ⁿ. (here t is replaced by n).

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Answer:

73

Step-by-step explanation:

Add up these numbers. Then do 180-107

The simplified expression is \(\frac{2^{1/3}}{(6)*y^{2/3} }\)

What is fraction?

A fraction is a mathematical expression that represents a part of a whole or a division of one quantity by another. It consists of two numbers separated by a horizontal line called a fraction bar or a vinculum. The number above the fraction bar is called the numerator, and the number below the fraction bar is called the denominator. Fractions can be proper, improper, or mixed. A proper fraction has a numerator that is smaller than the denominator. An improper fraction has a numerator that is greater than or equal to the denominator. A mixed fraction consists of a whole number and a proper fraction.

\(\frac{ \sqrt[3]{1} }{\sqrt[3]{108} \sqrt[3]{y^{2} } }\)

= \(\frac{1^{1/3} }{108^{1/3}*y^{2/3} }\)

= \(\frac{1}{(2^{2/3}*3)*y^{2/3} }\)

= \(\frac{2^{1/3}}{(2^{2/3}*2^{1/3}*3)*y^{2/3} }\)

= \(\frac{2^{1/3}}{(2*3)*y^{2/3} }\)

= \(\frac{2^{1/3}}{(6)*y^{2/3} }\)

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The value of x is 7 from the given figure.

What is Triangle ?

Triangle can be defined in which three sides , three angles and the sum of three angles is always is 180 degrees.

From the given triangle ,

Let the triangle be ABC

where A = 60 and B = 30 and C = 90

CA = 7\(\sqrt{3}\)

CB = x .

sin60 =  7\(\sqrt{3}\)  /x

\(\sqrt{3}\) / 2  =  7\(\sqrt{3}\)  /x

1/7  = 2 * x

x = 7 * 2

x = 14

In triangle ABC ,

AC^2 + CB ^ 2  = AB ^2

7\(\sqrt{3}\)  ^2 + CB^2 = 14*14

CB^2 = 196 - 149

CB^2 = 49

CB = 7

Hence, The value of x is 7  from the given figure.

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We are asked to construct a frequency table using a class interval width of 0.2 starting at 0.15.

The greatest value in the table is 1.4

So, the class intervals are

0.15 - 0.35

0.35 - 0.55

0.55 - 0.75

0.75 - 0.95

0.95 - 1.15

1.15 - 1.35

1.35 - 1.40

Now we have to count the values that fall between each of the class intervals.

This will be the frequency.

0.15 - 0.35 | 2

0.35 - 0.55 | 5

0.55 - 0.75 | 8

0.75 - 0.95 | 6

0.95 - 1.15 | 6

1.15 - 1.35 | 4

1.35 - 1.40 | 1

If you count the frequency, it should sum to 32

2+5+8+6+6+4+1 = 32

Hence, the frequency table is correct.

Answer: x=-3

Step-by-step explanation:

Answer:

I believe x=3

Step-by-step explanation:

0.7x- 1.4 = -3.5

+1.4. +1.4

0.7x = 2.1

divide both sides by 0.7 x= 3

Answer:

X = -1, 3

Step-by-step explanation:

The linear approximating polynomial for the function f(x) = 32x^3/2 centered at a is:32a^3/2 + 48a^(1/2)(x-a)sample.

This can be obtained using the formula for the linear approximation of a function:f(x) ≈ f(a) + f'(a)(x-a)where f'(a) is the derivative of f(x) evaluated at a.To find the derivative of f(x), we use the power rule, which states that the derivative of x^n is n*x^(n-1).

Therefore, the derivative of f(x) = 32x^3/2 is:f'(x) = 3*32*x^(3/2-1) = 96x^(1/2)Evaluating this at x=a, we have:f'(a) = 96a^(1/2)Finally, substituting into the linear approximation formula, we get:f(x) ≈ f(a) + f'(a)(x-a)f(x) ≈ 32a^3/2 + 96a^(1/2)(x-a)f(x) ≈ 32a^3/2 + 48a^(1/2)(x-a) * 2 / 2f(x) ≈ 32a^3/2 + 48a^(1/2)(x-a)

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Answer:

no solution

Step-by-step explanation:

n -8 = 6+n

Subtract n from each side

n-n -8 = 6+n-n

-8 = 6

This is never true so there is no solution

Answer:

n = -14

Explanation:

-8 = 6 + n

move n over to the left side of the equation

-8 - n = 6

-8 - (-14) = 6

This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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Answer:

a. f(x)

b. (2, -1)

c. f(x); y= -2

   g(x); y= -5.1

   h(x); y= -5

d. h(x)

Step-by-step explanation:

a. greatest y-intercept :

set x = 0

f(x) = 7

g(x) = -2

h(x) = -4

b. (2, -1)

c. minimum value (The minimum value of a function is the place where the graph has a vertex at its lowest point.)

f(x); y= -2

g(x); y= -5.1

h(x); y= -5

d. largest ROC = largest rate of change

h(x)

Answer:

95

Step-by-step explanation:

a=3,b=2

3^2+3(2)-2^2

a=11,b=13

11^2+11(13)-13^2

= 95

Answer:

95

Step-by-step explanation:

If a ∆ b = a² + ab - b²,

Then (3 ∆ 2) ∆ 13:

a = 3

b = 2

3 ∆ 2 = 3² + 3 × 2 - 2² = 11

a = 11

b = 13

11 ∆ 13 = 11² + 11 × 13 - 13² = 95

The answer is 95.

hi

3/5 *20= 60/5 = 12  

12 block are green

Answer:

I guess its like this!!!!!!

Answer:

\(2x + 18 = 15x + 33 - 8x \\ 2x + 18 = 7x + 33 \\ 2x - 7x = 33 - 18 \\ - 5x = 15 \\ x = - 3\)

As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

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The given equation, V = 1/3 πr²h, solved for h is:

h = 3V / πr²

From the question, we are to solve the give equation for h

From the given information,

The given equation is

V = 1/3 πr²h

To solve the equation for h, we will isolate h

Solving the equation for h

V = 1/3 πr²h

Multiply both sides of the equation by 3

3 × V = 3  × 1/3 πr²h

3V = πr²h

Divide both sides of the equation by πr²

3V / πr² = πr²h / πr²

3V / πr² = h

This can be written as

h = 3V / πr²

Hence, the equation solved for h is:

h = 3V / πr²

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The total amount of money that farmer will make to sell the tomatoes for $2 per tomato will be $14720.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

Multiplication = to multiply any two or more numbers or variables called multiplication.

The number of red tomato = 128 × 32

The number of yellow tomato = 102 × 32

The total cost will be,

2(128 × 32) + 2(102 × 32)

⇒ 2(4096) + 2(3264)

⇒8192 + 6528

⇒$14720

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The demand curve is a graphical representation of the relationship between the quantity of a good or service that buyers are willing and able to purchase at various prices. It is based on the law of demand, which states that as the price of a good or service increases, the quantity demanded decreases, and vice versa.

However, there are other factors that can affect demand besides price, such as changes in buyers' incomes, tastes and preferences, the prices of related goods or services, and expectations about future prices or economic conditions. When one or more of these factors changes, the entire demand curve can shift to the right or left, indicating a change in the quantity demanded at every price.

In the case of an increase in buyers' incomes, the demand curve for most goods or services will shift to the right. This means that at every price level, buyers will be willing and able to purchase more of the good or service than before. This can be explained by the fact that when buyers' incomes increase, they have more purchasing power and are able to buy more of everything, including the good or service in question.

For example, if the economy is booming and buyers' incomes are rising, they may be more willing to purchase luxury goods or services that they previously couldn't afford. This could lead to an increase in demand for high-end products such as luxury cars, designer clothing, and high-end restaurants, even though the prices of these goods or services have not changed.

In summary, changes in buyers' incomes are one of several factors that can cause the demand curve to shift to the right or left. When buyers' incomes increase, the demand for most goods or services will increase as well, indicating that buyers are willing and able to purchase more of the good or service at every price.

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The curve shifts to the right if the determinant causes demand to increase. This means more of the good or service are demanded even though there's no change in price. When the economy is booming, buyers' incomes will rise. They'll buy more of everything, even though the price hasn't changed. write a statement according to the context .

Answer:

SAS Postulate

Step-by-step explanation:

You can use the SAS (side, angle, side) postulate that says "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent"

Side AB is proportionate to DE and

Side AC is proportionate to DF.

Angle A and Angle D are the same; and is between the two sides

I hope this helps.

We have to blend two mixtures of ethanol (E7 and E10) to make an E9 mixture.

We know that the amount of E10 mixture is 4000 gal.

Let x be the amount of E7 mixture.

As we have x gallons of E7 and 4000 gallons of E10, the volume of the E9 mixture will be (x+4000).

The volume of ethanol in the E7 mixture will be 0.07*x gallons.

The volume of ethanol in the E10 mixture is 0.1*4000 = 400 gallons.

The volume of ethanol in the E9 mixture will be 0.09*(x+4000) gallons.

As the sum of the ethanol volume in the E7 and E10 mixtures has to be equal to the ethanol in the E9 mixture, we can write:

We can use this equation to solve for x:

Then, the volume of the E7 mixture has to be 2000 gallons.

Answer: 2000 gallons of E7 mixture.

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

4(x+y)

Step-by-step explanation:

x+y is one side length and there are 4 side lengths.

Step-by-step explanation:

The number of cups of red paint is always 15 of the total number of cups. 0.2 of the total number of cups.

She writes the equation r = 15t (r = 0.2t) to describe the relationship.

In this case, the total no. of cups is an independent variable. No. of cups do not depend on any term.

The number of cups of red paint is a dependent variable as it depends on the number of cups.

Answer:

Volume = πr²h

= 3.14 * 5² * 4

= 314 cubic yards

Answer:

\(314 yd^3\)

Step-by-step explanation:

Hey there!

Volume = π r^2 h

Plug in,

(3.14)(5^2)(4)

5•5 = 25

25 • 4 = 100

3.14 • 100

= 314

Hope this helps :)

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{3}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-4)}}} \implies \cfrac{-2}{4 +4} \implies \cfrac{ -2 }{ 8 } \implies - \cfrac{1}{4}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- \cfrac{1}{4}}(x-\stackrel{x_1}{(-4)}) \implies y -3 = - \cfrac{1}{4} ( x +4) \\\\\\ y-3=- \cfrac{1}{4}x-1\implies {\Large \begin{array}{llll} y=- \cfrac{1}{4}x+2 \end{array}}\)

Answer:

D is the answer i think

Answer:

D

Step-by-step explanation:

The Perimeter of the rectangle is equal to= 2(l+w)

= 2(6x+10+4x+1)

=2(10x+11)

=20x+22