Which type of polynomial is 3x3?

The customer will pay $32.25 for 9 pounds of blueberries with the coupon

At $3.75 per pound, 9 pounds of blueberries would cost $33.75 without the coupon. However, the customer has a coupon for $1.50 off the total cost of the blueberries. So, the customer can subtract $1.50 from the total cost, bringing it down to $32.25. Therefore, the customer will pay $32.25 for 9 pounds of blueberries with the coupon.

It's important to note that the price per pound of blueberries may vary at different grocery stores or at different times of the year. Additionally, coupons and discounts may have expiration dates or other terms and conditions that should be reviewed before use. When shopping, it's always a good idea to compare prices and use coupons and discounts to get the best possible deal

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Answer:

h ≈ 29.98

Step-by-step explanation:

diameter = 12m

volume = \(1130m^{3}\)

radius = 6m

The equation to find the height given radius and volume:

\(h = \frac{3(V)}{\pi r^2}\)

Plug in values

Answer:

Given:-

Diameter=12m

Volume=1130m³

Takeπ=3.14

To find:-

Height of cone=?

Step-by-step explanation:

Solution:-

Radius=d/2

= 12/2

=6m

Volume of cone=1/3πr²h

h= 3v/πr²

= 3×1130/3.14× 6²

= 3390/113.04

= 29.98m

hence, the height of cone is 30m.

The given problem involves finding the ratio of shakes to malts sold at an ice cream shop, which is 14:6. Simplifying this ratio by dividing both terms by 2 results in a new ratio of 7:3. Hence, the ratio of shakes to malts sold at the shop is 7:3.

Answer:

Independent: t, minutes

Dependent: n, # of words

Step-by-step explanation:

The algebraic equation for this would be, n=75t

Answer:

1/12

Step-by-step explanation:

Answer:

A and B are both correct

Step-by-step explanation:

the definitions of the following words are:

factor- a number or quantity that when multiplied with another produces a given number or expression.

multiple- a number that can be divided by another number without a remainder.

6 multiplied with 7 equals 42

42 divided by 7 equals 6

another way of phrasing it:

7 and 6 are factors of 42

and

42 is a multiple of both 7 and 6

hope this helped!

Answer:

42 is a multiple of 7.

6 is a factor of 42

Step-by-step explanation:

Answer:

The cashier is correct.

Kelly is wrong because he calculated the coupon as 1 and deducted only $2 from the total price of goods instead of calculating the total amount of coupon and deducting from the total price of goods.

Note that the coupon is $2 off the price of each video game

Explanation:

Let run through the sum of the goods Kelly bought;

3 video games that cost $18.95 each;

2 pairs of earbuds that cost $11.50 each;

Total is;

Given that She has a coupon for $2 off the price of each video game.

For the 3 video games, the coupon is;

The total cost will then be the total price of goods minus the coupon;

Therefore, the cashier is correct.

Kelly is wrong because he calculated the coupon as 1 and deducted only $2 from the total price of goods instead of calculating the total amount of coupon and deducting from the total price of goods.

Note that the coupon is $2 off the price of each video game

Answer:

x =6    y = 5

Step-by-step explanation:

3y = 15

3/3     15/3

y= 5

-2x + 6(5) = 18

-2x + 30 = 18

        -30    -30

-2x = -12

-2/-2    -12/-2

x = 6

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

The data support the researcher's claim that the current ozone level is not at a normal level, at the 0.05 level of significance, concluded with the help of a one-sample t-test.

To test whether the current ozone level is significantly different from the normal level of 5.5 ppm, we can use a one-sample t-test.

The null hypothesis is that the mean ozone level is equal to 5.5 ppm:

H0: mu = 5.5

The alternative theory is that the average ozone level exceeds 5.5 ppm:

Ha: mu > 5.5

The significance threshold will be set at 0.05.

t = (x - mu) / (s / sqrt(n)) is the test statistic for a one-sample t-test.

where x is the sample mean, is the hypothesized population mean, s represents the sample standard deviation, and n represents the sample size.

When we substitute the provided values, we get:

t = (6.0 - 5.5) / (0.9 / sqrt(13)) = 1.936

Using a t-table with 12 degrees of freedom (n-1=13-1=12) and a significance level of 0.05, the critical value is 1.782. Since our calculated t-value (1.936) is greater than the critical value (1.782), we reject the null hypothesis.

Therefore, we can conclude that the data support the researcher's claim that the current ozone level is not at a normal level, at the 0.05 level of significance.

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Note: Your function is missing some information. It seems your function is

\(f\left(x\right)=\frac{-3}{x}+7\).

So, I am solving the question based on the function \(f\left(x\right)=\frac{-3}{x}+7\),  because it would still solve your query.

Answer:

Please see the explanation.

Step-by-step explanation:

Given the function

\(f\left(x\right)=\frac{-3}{x}+7\)

A function g is the inverse of a function f for y = f(x), x=g(y)

\(y=\frac{-3}{x}+7\)

Replace x with y

\(x=\frac{-3}{y}+7\)

solve for y

\(y=-\frac{3}{x-7}\)

so the inverse of \(f\left(x\right)=\frac{-3}{x}+7\) will be:

\(f^{-1}\:\left(x\right)=-\frac{3}{x-7}\)

Finding the domain of \(f^{-1}\:\left(x\right)=-\frac{3}{x-7}\)

As we know that domain is the set of the possible input values where the function is defined.

so the function domain must be: \(x<7\quad \mathrm{or}\quad \:x>7\)

Therefore,

\(\mathrm{Domain\:of\:}\:-\frac{3}{x-7}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<7\quad \mathrm{or}\quad \:x>7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:7\right)\cup \left(7,\:\infty \:\right)\end{bmatrix}\)

The question involves solving initial value problems (IVPs) using explicit solutions wherever possible. We're given five different IVPs, which are as follows:

(a) dy/dx = xy, y(1) = 1

(b) dy/dt = y^2 + 1/t^2 + 1, y(0) = 1

(c) dy/dx = 3t^2/x, y(0) = e

(d) du/dt = (u^2 - 1)t, u(0) = 0

(e) dy/dt = (cos^2y)(cos^2t), y(0) = π/4

Below are the solutions to each of these IVPs. We'll begin by discussing the meaning of an initial value problem.

What is the definition of an initial value problem (IVP)?

An initial value problem (IVP) is a differential equation that also includes an initial value or condition that specifies the value of the function at a particular point.

In other words, an IVP specifies the value of a function and its derivative at a particular point. As a result, the solution to an IVP is a specific function that satisfies the differential equation as well as the initial condition. We'll move on to solving the IVPs in question.

(a) Solution to the initial value problem dy/dx = xy, y(1) = 1

First, let's write this as a separable differential equation.

(dy/dx) = xy

(dy/y) = xdx

Integrate both sides to get the following:

ln|y| = 1/2(x^2) + C

Expanding e to the power of each side gives the following:

y = Ce^(x^2/2)

Plug in y(1) = 1 to obtain:

C = e^(-1/2)

The explicit solution for this initial value problem is y = e^(x^2/2 - 1/2).

(b) Solution to the initial value problem dy/dt = y^2 + 1/t^2 + 1, y(0) = 1

First, let's write this as a separable differential equation.

dy/(y^2 + 1/t^2 + 1) = dt

Integrate both sides to get the following:

arctan(y) + arctan(t) = t + C

Plug in y(0) = 1 and t = 0 to obtain:

C = π/4

The explicit solution to this IVP is arctan(y) + arctan(t) = t + π/4.

(c) Solution to the initial value problem dy/dx = 3t^2/x in x x(0) = e

First, let's write this as a separable differential equation.

(dy/dx) = (3t^2/x)

dy = 3t^2(x)dx

Integrate both sides to get the following:

y = (3/2)x^2 + Cln|x|

C = ln(e^(-3/2)) = -3/2

The explicit solution to this IVP is y = (3/2)x^2 - (3/2).

(d) Solution to the initial value problem du/dt = (u^2 - 1)t, u(0) = 0

First, let's write this as a separable differential equation.

du/(u^2 - 1) = tdt

Integrate both sides to get the following:

0.5 ln|u -

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Answer:

The amount of money originally invested which is the principal P = 5,000

Step-by-step explanation:

Using the compound interest formula, the return on investment can be represented on the interest function as;

f(x) = P(1+r)^x

Where

P is the principal which is the initial investment.

r = rate Proportion

x = time (number of years)

Comparing to the given function;

f(x) = 5,000(1 + 0.04)^x

We can see that;

Principal P = 5,000

Rate r = 0.04

time = x

The amount of money originally invested which is the principal P = 5,000

Answer:

Ask it like this so people can see it more

Step-by-step explanation:

Do the points (-1,9) and (2,4) represent the vertex and a sample point, respectivelt, of y= -2(x+1)^2+9? Explain.

Answer:

20x20=400 so 20 is your integer

Step-by-step explanation:

20 × 20 = 400.

Step-by-step explanation:

Answer: #3

Step-by-step explanation:

A number is a restriction on a rational expression if the number makes the denominator of the rational expression equal to zero.

Hence, option (b) is correct choice.

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction using polynomials as the numerator and denominator.

A rational expression's denominator is undefined when it equals zero, hence it cannot be employed in the expression.

For that particular value of the number, the limitation renders the value of the rational statement undefinable.

To put it another way, the number is a limitation since it cannot be used as the input for the rational expression because the output would be an undefined value.

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The missing option may be:

(a) 1

(b) 0

(c) always positive

(d) Indefinite

In the given data, x represents IQ scores of randomly selected airline passengers, and y represents IQ scores of randomly selected police officers.

To address the key question of whether there is a significant difference in IQ scores between airline passengers and police officers, we can use a statistical procedure called a t-test. The t-test allows us to compare the means of two independent groups and determine if the difference in means is statistically significant.

By conducting a t-test on the IQ scores of airline passengers (group x) and police officers (group y), we can calculate the test statistic and the corresponding p-value.

The test statistic measures the difference between the sample means of the two groups, while the p-value represents the probability of observing such a difference if there were no true difference in the population means.

After analyzing the data and conducting the t-test, if the p-value is below a predetermined significance level (e.g., 0.05), we can reject the null hypothesis and conclude that there is a significant difference in IQ scores between airline passengers and police officers

. On the other hand, if the p-value is greater than the significance level, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference in IQ scores between the two groups.

To provide a specific conclusion, the data needs to be analyzed using statistical software or calculations to obtain the test statistic, p-value, and compare them to the chosen significance level.

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To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:

Step-by-step explanation:

I figured this out with calculus since it's easier that way. The position function for the ball is

\(s(t)=-16t^2+64t+2\). The first derivative of position is velocity, so we need to find the first derivative of the position function which is

v(t) = -32t + 64

Now, where the ball is at its highest point is where the velocity is equal to 0, so setting the velocity function equal to 0 allows us to determine how many seconds it takes to get to that max height.

0 = -32t + 64 and

-64 = -32t so

t = 2 seconds. It takes 2 seconds to get to its max height. In order to determine that max height, we sub 2 in for t in the position function:

\(s(2)=-16(2)^2+64(2)+2\) and

s(2) = 66 feet. The max height of the ball is 66 feet.

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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The radius is equal to the length of the given line segment GH, which is 20 units. In this case, r = 20, and θ = 90° = π/2 radians.

Arc GJ is the portion of the circumference of circle H that lies between points G and J. Arc GJ can be calculated using the formula l = rθ, where l is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc in radians. In this case, r = GH = 20 and θ = 90° = π/2 radians. Therefore, l = 20π/2 = 10π. Therefore, the length of arc GJ is 10π units.For example, if the radius of circle H is 10 units, l = 10π/2 = 5π. Thus, the length of arc GJ would be 5π units.To calculate arc GJ, we must first determine the radius of circle H. The radius is equal to the length of the given line segment GH, which is 20 units. We then use the formula l = rθ, where l is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc in radians. In this case, r = 20, and θ = 90° = π/2 radians.

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Answer:

d. 6

Step-by-step explanation:

Given, a-5> -1

Both sides add 5, and we get

a > 4

So a is 6.

Answer:

Hector's kite is 61.84 feet from the ground.

Step-by-step explanation:

The angle of elevation of the kite is 42°15’30” when converted to decimals, it is \(42.258333^{0}\) ≅ \(42.26^{0}\)

Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,

Sin θ = \(\frac{opposite}{hypotenus}\)

Sin \(42.26^{0}\) = \(\frac{x}{86}\)

⇒ x = 86 x Sin \(42.26^{0}\)

      = 86 x 0.6725

     = 57.835

x ≅ 57.84 feet

The height of Hector's kite from the ground = x + 4

                                    = 57.84 + 4

                                   = 61.84 feet

Using the concept of arithmetic sequence, the 5000th term can be obtained using the relation 4 + (5000 - 1)9

For an arithmetic sequence, the nth term is calculated using the relation :

Here,

First term, a = 4

Common difference = 2nd term - 1st term = 13 - 4 = 9

nth term = 5000th term

The expression would be :

The required expression would be : T(5000) = 4 + (5000 - 1)9

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Answer:

1.reducing the amount of thermal energy to 475 J

2.increasing the amount of electrical energy to 825 J

4.reducing the amount of kinetic energy to 50 J

Step-by-step explanation:

The changes that will assist in allowing the given diagram to become error-free would be as follows:

a). Reducing the amount of thermal energy to 475 J.

b). Increasing the amount of electrical energy to 825 J.

d). Reducing the amount of kinetic energy to 50 J.

Thus, options a, b, and d are the correct answers.

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Answer:

B

Step-by-step explanation:

3(20)=60

2(30)=60

60+60=120

2(20)= 40

4(30)= 120

40+120=160

Answer:

20 yards in the lace ribbon and there are 30 yards on one roll of satin ribbon

Step-by-step explanation:

3x + 2y = 120   (1)

   2x + 4y = 160   (2)

Divide eq(2) by 2 (both sides). Keep equation (1) as is.  You will get

   3x + 2y = 120   (1')

    x + 2y =  80   (2')

Now subtract eq(2') from eq(1').  You will get

   2x = 120 - 80 = 40

    x =  40/2 = 20.

Then from equation (2'),  

   20 + 2y = 80

        2y = 80 - 20 = 60

         y   = 60/2 = 30