How many terms does this expression have:-27a³ +9a²-45a

Answer:

Simple interest is money you can earn by initially investing some money (the principal). A percentage (the interest) of the principal is added to the principal, ...

Step-by-step explanation:

If water is being pumped into the trough at 2 cubic feet per minute, then the water level rising (in feet per minute) when h is 1.6 foot deep is 0.1 feet cubic per minute.

Suppose that we have a function y = f(x), and wish to find the rate of change of y with respect to a third variable t, where we do not have y expressed explicitly in terms of t. We use the chain rule in differentiation to find this rate of change in a process called implicit differentiation.

                     dy/dt = dy/dx × dx/dt

If base is equal to the height, by similar triangles:

Volume v = base x height x length/2

                = bhl/2

                = h²12/2

                = 6h².

Therefore,  

dv/dt = 12hdh/dt

         = 2 ft³/min

 Now,

dh/dt = 2/(12h)

when h = 1.6,

dh/dt = 2/(12 × 1.6) ≈ 0.1 ft³/min

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The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

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The number of ribbons that is needed for 7 presents is 73 ribbons.

She needs 5 packages.

An expression is simply used to illustrate the relationship between the variables.

In this case, it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used.

The ribbons needed for 7 presents will be:

= 10p + 3

= 10(7) + 3

= 70 + 3

= 73

Since it's sold in 15 feet packages, the number needed will be:

= 73 / 15

= 5

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The calculation; (9.04-8.23+21.954+81.0) * 3.1416 should have three significant figures.

To determine the number of significant figures in a calculation, we follow these rules:

1. When adding or subtracting numbers, the result should have the same number of decimal places as the number with the fewest decimal places.

2. When multiplying or dividing numbers, the result should have the same number of significant figures as the number with the fewest significant figures.

Let's calculate the expression:

(9.04 - 8.23 + 21.954 + 81.0) * 3.1416

First, perform the addition and subtraction:

(0.81 + 21.954 + 81.0) * 3.1416

= 103.764 * 3.1416

Next, perform the multiplication:

325.8512544

To determine the number of significant figures, we look at the original numbers involved in the calculation.

9.04 has three significant figures.

8.23 has three significant figures.

21.954 has five significant figures.

81.0 has three significant figures.

3.1416 has five significant figures.

Among these numbers, the number with the fewest significant figures is 81.0 with three significant figures.

Therefore, the result of the calculation, 325.8512544, should have three significant figures to match the least precise value.

In scientific notation, the result would be expressed as 3.26 x 10^2.

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The given calculation would yield a result with five significant figures because we base our significant digits off of the least precise term within the parentheses, which is 81.0. The result is then rounded according to this rule.

In the case of the calculation (9.04-8.23+21.954+81.0) * 3.1416, it's important to first consider the rule for significant figures in calculations - the result should be reported with the smallest number of decimal places in the numbers used in the calculation. The number 81.0 has two numbers after the decimal point, therefore, our final answer should have two numbers after the decimal point. When you calculate the inside of the parentheses, the result is 103.764. Multiplying that by 3.1416 would approximately yield 325.854. Rounding this to the least precise measurement (which is to two decimal places due to 81.0) would give us 325.85 which has five significant figures, effectively limiting our calculated value to five significant figures.

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Answer:

pipipupu?

Step-by-step explanation:

make a small dog pipipupu if he can then its allright

Answer:

A = s²

A = (7/8)²

A =49/64

A= 0.77inches

Answer:

She earned 80% right

Step-by-step explanation:

You start by dividing the points earned by the total questions.

\( \frac{24}{30 } = .8\)

then multiply by 100

\(.8 \times 100 = 80\)

then you add the percent symbol

\(80\%\)

The 90% confidence interval estimate for the population mean of hotel room prices in New York City is $256.01 to $289.99.

A confidence interval is a range of values that is likely to contain the true population mean with a certain degree of confidence.

To calculate the confidence interval for the population mean of hotel room prices in New York City, we need to use the formula:

CI = x ± (Zα/2)(σ/√n)

where x is the sample mean, σ is the sample standard deviation, n is the sample size, and Zα/2 is the critical value of the standard normal distribution for the chosen confidence level (in this case, 90%).

Plugging in the given values, we have:

CI = 273 ± (1.645)(65/√45)

Simplifying this expression, we get:

CI = 273 ± 16.99 =  [256.01 , 289.99].

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Answer:

8

Step-by-step explanation

we must find the total of the students to do that we look at when she grouped them in 7, 4 are left out so we multiple 4 miltiplied by 7 and we get 28, there are 4 left out so we add them. now we have a total of 32 students. 32 divided by 4 is 8

Answer:

5 + 3.5h = 29.50

Step-by-step explanation:

The flat fee means that you will be paid the money with no change to it.

So you will not multiply it.

3.5h means that you are adding 3.50 every hour according to the question

So summary:

5+3.5h = 29.50

Evaluation:

5+3.5h = 29.50

24.50 = 3.5h

h = 7

Sofia worked 7 hours

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

d) 343 cm^3

Step-by-step explanation:

Because you are talking about volume of a cube, that means all sides are equal. The equation for volume is length x width x height. Since all sides of the cube are equal and you are given the height, 7 cm, you will need to multiply 7 three times. Your equation would be 7 x 7 x 7. Then, 7 x 7 is 49 and 49 x 7 is 343. Don't forget, because we are talking volume, to put the cubed. So, your answer is 343 cm^3.

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

11 magazines

Step-by-step explanation:

4 & 2/5 = 22/5

22/5 divided by 11 = 4 2/5

Answer:

D 5(2 + y)​

Step-by-step explanation:

Answer:

they intersect at 3.5 seasons, 312 fish. the second gets elimed at 11 seasons

Step-by-step explanation:

equations:

first:

amount of fish = 225 + 25*season

second:

amount of fish = 450 - 40*season

Answer: Z<4

Step-by-step explanation:

Rearrange the equation

-3(z-6) - (2z-2)>0

-3z+18-2z+2>0

-5z +20>0

-5(z-4)>0

divide  both side by -5

z-4<0

z<4

Answer:

A, C, D

Step-by-step explanation:

In conclusion, based on the information provided, we can deduce that the data does not adhere to the\(68-95-99.7\)rule, indicating that it is not normally distributed. To further analyze the data, we can use descriptive statistics and measures of skewness and kurtosis.

The histogram of the given set of data appears to be symmetric, however, the data does not adhere to the 68-95-99.7 rule. This suggests that the data is not normally distributed. To further analyze the data, we should look at the shape of the graph, the range of values, and any outliers present in the data. We can also use descriptive statistics such as the mean, median, and standard deviation to evaluate the data.

Additionally, we can also measure skewness and kurtosis to determine how close the data is to a normal distribution. If the skewness and kurtosis values indicate that the data is not normal, then we can conclude that the data does not follow the 68-95-99.7 rule.
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Answer:

you subtract the number by 3

Step-by-step explanation:

the pattern is x-3 so the pattern is subtracting the number by 3 every time

Answer: the slope is \(\frac{4}{2}\) which can be simplified to just 2.

Step-by-step explanation:

You can use the equation \(\frac{y2-y1}{x2-x1}\) to find the slope of a line. In this case, I chose to use the coordinates (-4,0) and (-6,-4), it doesn't matter which you choose as the (x1,y1) and (x2,y2) coordinates. So, \(\frac{-4-0}{-6-(-4)}\) becomes \(\frac{-4}{-2}\) which is the same as \(\frac{4}{2}\), which is equal to 2. you can repeat this with the other points given to check your answer.

The slope of the line passing through the given points is equal to 2 .

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line. The slope of a line is the measure of the tangent of the angle made by the line with the x - axis. It is represented by m: m = y₂-y₁ / x₂ - x₁

Given here, are the points P (-10, -12), Q(-8, -8), R(-6, -4),S (-4, 0)

Now the slope of a line is constant for any two points that lie on a line.

therefore, slope of the line that passes through P,Q,R,S  is

m = -8-(-12) /-8-(-10)

    = 2

 or m= 0-(-4) /-4-(-6)

         = 2

clearly the slope is equal to 2 in either case that's because the line passes through all the four points.

Hence,  the slope of the line passing through the given points is equal to 2.

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Answer: 42

Step-by-step explanation:

if the bookstore has 64 copies,

yesterday it was sold 1/4 , so it was sold 64/4=16

today it was sold 1/8 from what remained, which is 6(see below)

64-16=48

48/8=6

the store has left 48-6=42

Given function is,\(f(x) = e^(x^3) + x * in(x^2)\)Let's find the derivative of the given function. We need to use the product rule of differentiation in order to find the derivative of the function, as it is a product of two functions.

Product Rule:

\(f(x) = u(x) * v(x)\\f'(x) = u'(x) * v(x) + u(x) * v'(x)\\Let's take u(x) = e^(x^3) and \\v(x) = x * in(x^2)\\u'(x) = d/dx(e^(x^3)) \\= 3x^2 * e^(x^3)\)

The derivative of ln(x^2) is given as :

\([x * 2x * e^(x^3)] + [e^(x^3)] * [ln(x^2) + 1/x]f'(x) = [3x^3 * ln(x^2) * e^(x^3)] + [2x^2 * e^(x^3)] + [e^(x^3)] * [ln(x^2) + 1/x]\\Therefore, f'(x) = [3x^3 * ln(x^2) * e^(x^3)] + [2x^2 * e^(x^3)] + [e^(x^3)] * [ln(x^2) + 1/x]\)

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The total value in cents of all coins in the any row would be 16 cents.

In the pattern you described, the coins are arranged in rows such that each subsequent row has one more coin than the previous row. Let's analyze the values of the coins to determine the total value in cents of all the coins in the th row.

Assuming the values of the coins are as follows:

Penny: 1 cent

Nickel: 5 cents

Dime: 10 cents

We can observe that the pattern repeats after every three coins. The first three coins in the pattern are penny, nickel, dime. These coins have a total value of 1 + 5 + 10 = 16 cents.

For the subsequent rows, the pattern repeats with an offset of 3. For example, in the fourth row, the coins are penny, nickel, dime, which have the same total value as the first row, i.e., 16 cents.

So, regardless of the value of "th" (the row number), the total value in cents of all the coins in that row will always be 16 cents.

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The length of each congruent side of the isosceles triangle is 2.75 inches while the base is 23.5 inches

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent the length of the congruent side. The base of the triangle is seven inches longer than three times the length of the other two sides. Hence:

Length of base = 3(2x) + 7 = 6x + 7

The perimeter of the triangle is 29 inches, therefore:

x + x + (6x + 7) = 29

x = 2.75

Base = 6(2.75) + 7 = 23.5

The length of each congruent side of the isosceles triangle is 2.75 inches while the base is 23.5 inches

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Step-by-step explanation:

\(area \: of \: rectangle \: = \: length \: \times width \\ area = (2x - 3) \times (x + 7) \\ = 2 {x}^{2} + 14x - 3x - 21 \\ = 2 {x}^{2} + 11x - 21\)

Regardless of which person receives the lottery ticket, they can sell it to the other for b dollars, and the sale will be advantageous to both.

Given, Two individuals Alice and Bob have the same utility function for a change w in their wealth, given by U(w) = w1/3. Suppose now that one of them receives, as a gift, a lottery ticket which yields either a reward of r > 0 dollars or reward of 0 dollars, with probability 1/2 each.

We need to show that there exists a number b > 0 having the following property: regardless of which person receives the lottery ticket, they can sell it to the other for b dollars and the sale will be advantageous to both.

Let's assume that Alice has received the lottery ticket.

Thus, her wealth will be W + r with probability 1/2 and W with probability 1/2, where W is her current wealth.

Similarly, let's assume that Bob has received the lottery ticket.

Thus, his wealth will be W + r with probability 1/2 and W with probability 1/2, where W is his current wealth.

Since their utility functions are the same, we can write them as: UA = (W + r)1/3 / 3 + W1/3 / 3UB = (W + r)1/3 / 3 + W1/3 / 3Now, suppose Alice wants to sell the lottery ticket to Bob for a price b.

Then Bob's wealth will be: W + r - b with probability 1/2 and W - b with probability 1/2.And Alice's wealth will be:W + b with probability 1/2 and W with probability 1/2.So, Alice's utility function will be: UA = (W + b)1/3 / 3 + W1/3 / 3

And Bob's utility function will be: UB = (W + r - b)1/3 / 3 + (W - b)1/3 / 3We need to choose b such that the sale will be advantageous to both Alice and Bob.

That is, the following conditions must be satisfied: UA(W, b) >= UA(W + r, 0)UB(W, r - b) >= UB(W + r, 0)Simplifying the above inequalities and substituting the given utility functions:2b1/3 >= r1/3 b <= (r / 2)3

Similarly,2(r - b)1/3 >= r1/3 b <= (r / 2)3

Thus, we can see that b = (r / 2)3 satisfies both conditions.

Therefore, regardless of which person receives the lottery ticket, they can sell it to the other for b dollars, and the sale will be advantageous to both.

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Step-by-step explanation:

a)

8÷2=4

12÷3=4

27÷9=3

•it does'nt always take the same amount of time to serve each customer .

•10×3=30

b)

according to the question

2=18 point

4=36 point

8=72 point

18=9×2

36=9×4

72=9×8

so 1dollar =9point

•each dollar spent appears to earn the same number of point

•because 81=9×9, it costs 9 dollar

The value of x according to the information given about the trapezoid is; 5.375

The sum of angles in a trapezoid like other Quadrilaterals is; 180°.

However, since the trapezoid is Isosceles, Top angles are equal and bottom angles are equal too.

Hence, we have;

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Answer:

C. 11

Step-by-step explanation:

Kind people at the bottom of the "Experts" answer said it was 11