Use the table to answer the question.
The table shows the relationship between the number of hours Sienna works and the amount of money she earns at her part time job.
Number of Hours (x) Earnings ()
4
$52
8
$104
$156
12
15
$195
Which equation represents the relationship shown in the table?

x= 6.32

y= 12

z= 18.97

I got my answer by; using the MCF and multiplying to see how many times 6/2 will go into x,y,z!

Hope this helps:)!

Answer:

x= 6.32

y= 12

z= 18.97

Answer:

I believe the answer is $1571.4

Step-by-step explanation:

1800 - 10% = 1620

1620 - 3% = 1571.4

The net income of Sam will be $ 1571.4.

It is given that Sam's gross income is $1800 every other Friday. He has to pay two taxes i.e., 10 % federal tax rate and 3% state tax rate.

We have to calculate his net income.

What is the value of 18 % of 300 ?

The value will be 54.

As per the question Sam's gross income is $1800 , every other Friday.

He has to pay some Federal tax rate , so 10 % will be deducted from gross income.

⇒ 1800 - 10% = $ 1620

Now , he has to pay some State tax rate , so 3 % will be deducted from gross income.

⇒ 1620 - 3% = 1571.4

Thus , his net income will be $ 1571.4.

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Answer:

Annie's Orange Grove

Step-by-step explanation:

* you need to find out how much each pound of oranges cost at both orchards.

* to do so you take the total amount of money and divide it by the number of pounds you get.

1) 7.25 ÷ 20 = .36

2) 5 ÷12 = .4

* as you can see .36 is less than .4 and therefore is the better deal.

The expression is simplified to y⁹/12x². Option A

The index form of a number is simply described as a number written as an exponential expression.

It is described as a single number  raised to another number.

Index forms are also described as standard forms and scientific notation.

From the information given, we have;

3x^⁻⁴y⁵/(2x³y⁻⁷)⁻²

Now, expand the bracket of the denominator and multiply the values

3x^⁻⁴y⁵/2x⁶y⁻¹⁴

Divide the expression , we have;

3/-4 (x^⁻⁴y⁵/2x⁶y⁻¹⁴)

To determine the quotient, subtract the exponents of the denominator from the numerators

3× -4(x⁻⁴⁺⁶y⁵⁻¹⁴)

Now, add or subtract the exponential values, we get;

-12 (x⁻²y⁻⁹)

y⁹/12x²

Hence, the value is y⁹/12x²

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer: -4

Step-by-step explanation:

Divide by -4 each time to get the next number in the sequence.

Answer:

The submarine would be 76 1/2 feet underwater after it is finished diving

Step-by-step explanation:

Multiply 25 1/2 (the amount of feet traveled down each move) by 3 ( the amount of moves it goes downward) to get 76 1/2 feet.

Answer:

Not correct .

Step-by-step explanation:

Answer:3/2

Step-by-step explanation:

\(\frac{9}{6} = \frac{\frac{9}{3} }{\frac{6}{3} }=\frac{3}{2}\)

Answer:

x = 61

Step-by-step explanation:

0.5(x + 7) + 9 = 43

0.5x + 3.5 + 9.0 = 43

0.5x + 12.5 = 43.0

0.5x = 30.5

x = 30.5 / 0.5

x = 61

The solution to the value of x in the equation is 61

In a mathematical concept, an algebraic expression consists of variables, constants with their arithmetic operations.

From the given parameters

0.5(x + 7) + 9 = 43

Open brackets

0.5x + 3.5 + 9 = 43

0.5x + 12.5 = 43

0.5x = 43 - 12.5

0.5x = 30.5

x = 30.5/0.5

x = 61

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The binomial probabilities directly from the formula for b(x; n, p) can be compute as follows:

(a) b(5; 8, 0.35) is 0.278

(b) b(6; 8, 0.6) is 0.311

(c) P(3 ? X ? 5) when n = 7 and p = 0.55 is 0.609

(d) P(1 ? X) when n = 9 and p = 0.1 is  0.613

Binomial probability distribution is used to calculate the probability of getting a certain number of successes in a fixed number of trials, where each trial has only two possible outcomes: success or failure. The formula for calculating the binomial probability is:

b(x; n, p) = (nCx) * p^x * (1-p)^(n-x)

where x is the number of successes, n is the total number of trials, p is the probability of success in each trial, and nCx is the number of combinations of n things taken x at a time.

In part (a), we are asked to find the probability of getting exactly 5 successes in 8 trials with a probability of success of 0.35. Using the formula, we get:

b(5; 8, 0.35) = (8C5) * 0.35^5 * (1-0.35)^(8-5) = 0.278

In part (b), we are asked to find the probability of getting exactly 6 successes in 8 trials with a probability of success of 0.6. Using the formula, we get:

b(6; 8, 0.6) = (8C6) * 0.6^6 * (1-0.6)^(8-6) = 0.311

In part (c), we are asked to find the probability of getting between 3 and 5 successes in 7 trials with a probability of success of 0.55. We can find this probability by summing the individual probabilities of getting 3, 4, and 5 successes. Using the formula, we get:

P(3 ≤ X ≤ 5) = b(3; 7, 0.55) + b(4; 7, 0.55) + b(5; 7, 0.55) = 0.609

In part (d), we are asked to find the probability of getting at least 1 success in 9 trials with a probability of success of 0.1. We can find this probability by subtracting the probability of getting 0 successes from 1. Using the formula, we get:

P(X ≥ 1) = 1 - b(0; 9, 0.1) = 1 - 0.387 = 0.613

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Answer:

22/24

Step-by-step explanation:

Answer:

B. The number of men was 1.8 times under the women.

Step-by-step explanation:

So in a ratio like this of 9:5, we will go through each answer choice and see if it matches.

A. When saying there were "4 more men than women", this does not equal a ratio because the same could be true for 14 men and 10 women, which is not a ratio of 9:5

B. Men being 1.8 times under the women would give us an equation similar to this: 1.8m = w Now considering that 9:5 as a fraction does come out to 1.8, this gives potential to accuracy seeing as anything plugged in would automatically be factored through the ratio.

C. Is essentially saying: m/w = 5/9 which would be opposite to the ratio before us, stating men to be more than women. If they were reversed, this answer would be correct.

D. When having 5 out of 9 fans being women, this would mean that the other 4 were men. To correct this statement to make it true, it would have to be "5 out of 14 fans were women"

So after thorough explanation, we can confidently conclude that B is the correct answer. Hope this helped :)

Answer: 7 outa 10

Step-by-step explanation:

The monthly mortgage payment would be approximately $722 higher at a 7% interest rate compared to a 3% rate for the same house.

To calculate the difference in monthly mortgage payments for the same house at a 7% interest rate compared to a 3% rate, we need to consider the loan amount, the loan term, and the interest rate.

In 2021, with a house price of $371,000 and a 20% down payment, the loan amount would be 80% of the house price, which is $296,800. At a 3% interest rate for a 30-year mortgage, the monthly mortgage payment would be calculated as follows:

Loan amount = $296,800

Interest rate = 3% / 100 = 0.03

Loan term = 30 years = 360 months

Using the formula for calculating a fixed-rate mortgage payment, the monthly payment (P) can be calculated as:

P = (Loan amount * Interest rate) / (1 - (1 + Interest rate)^(-Loan term))

P = ($296,800 * 0.03) / (1 - (1 + 0.03)^(-360))

P ≈ $1,251

Now, let's calculate the monthly mortgage payment with a 7% interest rate, keeping all other factors the same:

Loan amount = $296,800

Interest rate = 7% / 100 = 0.07

Loan term = 30 years = 360 months

Using the same formula as above, the monthly payment can be calculated as:

P = (Loan amount * Interest rate) / (1 - (1 + Interest rate)^(-Loan term))

P = ($296,800 * 0.07) / (1 - (1 + 0.07)^(-360))

P ≈ $1,973

Therefore, the monthly mortgage payment at a 7% interest rate would be approximately $1,973 - $1,251 = $722 higher compared to the 3% rate.

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Given the quadratic equation the condition that must apply to the constants a and c is c < 9a.

A quadratic equation is a second-degree polynomial equation in one variable, where the highest power of the variable is two.

1) Remember, a quadratic function can have either a maximum or minimum value and that the value of the function at the vertex (i.e., the maximum or minimum point) is given by \(-b/2a\).

In this case, the coefficient of x is 6, so the x-coordinate of the vertex is \(-6/2a = -3/a\).

Since the function is always negative, the vertex must be a maximum, and the value of the function at the vertex must be negative.

Therefore, this gives us:

\(ax^2 + 6x + c < 0\) for all x

The x-coordinate of the vertex is\(-3/a\), so the value of the function at the vertex is:

\(a(-3/a)^2 + 6(-3/a) + c = 9a/a - 18/a + c = c - 9a/a\)

Since the value of the function at the vertex must be negative, we thus have:

\(c - 9a/a < 0\)

Simplifying further, we get:

\(c < 9a\)

Therefore, we can conclude that the condition for the constants a and c to satisfy the given inequality is \(c < 9a.\)

ii) We can choose \(a = 1\) and \(c = -8\).

Then, the function \(ax^2 + 6x + c = x^2 + 6x - 8\) has a maximum value at \(x = -3\),

Therefore, this example shows that \(a = 1\) and \(c = -8\)  satisfies the conditions found in part (i).

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Answer:

A= 18

Step-by-step explanation:

Answer:

18 your answer is correct

Step-by-step explanation:

12x3=36

36÷2=18

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601

Answer:10

Step-by-step explanation:

beausepppppp

The side length of the smaller cube inscribed within the sphere is approximately 0.7071.

To find the side length of the smaller cube inscribed within the sphere, which is inscribed in a unit cube, we can follow these steps:
Determine the diameter of the inscribed sphere.
Since the sphere is inscribed in the unit cube, its diameter will be equal to the side length of the unit cube. Therefore, the diameter of the inscribed sphere is 1.
Calculate the radius of the inscribed sphere.
The radius of the sphere is half of its diameter, so the radius is 0.5.
Apply the Pythagorean theorem to the smaller cube.
We can imagine a right triangle formed by half the side length of the smaller cube (let's call this length 's') and the sphere's radius (0.5) as the two shorter sides, and the diagonal of the smaller cube as the hypotenuse.
By applying the Pythagorean theorem, we get:
(s/2)^2 + (s/2)^2 = (0.5)^2
Solve for the side length 's' of the smaller cube.
Expanding the equation, we get:
2 * (s^2 / 4) = 0.25
(s^2 / 2) = 0.25
s^2 = 0.5
s = sqrt(0.5)
Express the side length 's' of the smaller cube.
The side length of the smaller cube, 's', is equal to the square root of 0.5, which can also be written as sqrt(0.5) or approximately 0.7071.
So, the side length of the smaller cube inscribed within the sphere is approximately 0.7071.

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Answer:

1: equivalent

2: not equivalent

3: not equivalent

4: equivalent

5: not equivalent

6: equivalent

7: not equivalent

8: not equivalent

9: equivalent

Step-by-step explanation:

E

NE

NE

E

NE

E

NE

NE

E

This is the short form of equivakent and non equivalent fractions

ok

-1.63 standard deviations is below the mean of Joe

Standard Deviation: Standard deviation is a statistical measurement that looks at how far a group of numbers is from the mean. Put simply, standard deviation measures how far apart numbers are in a data set. This metric is calculated as the square root of the variance.

It is given that joe has a creativity score of 16. for this creativity test, the mean was 29 and the standard deviation was 8

Standard Deviation=8

Mean=29

Creativity Score=16

Standard deviation below the mean= (score-mean)/standard deviation

                                                           = (16-29)/8

                                                           = -1.63

-1.63 standard deviations is below the mean of Joe

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Each unit on the graph has 4 parts.

Along the x axis , point a is at 1 1/4

Along the y axis point A is at - 3/4

Answer:

( 1 1/4, - 3/4 )

(ii)  the volume of E is 9π/8 in cylindrical coordinates and 18π - 9√2 in spherical coordinates.

(i) Cylindrical coordinates:

In cylindrical coordinates, the region E can be expressed as follows:

0 ≤ ρ ≤ 3 (since the sphere has radius 3)

0 ≤ θ ≤ π/4 (since the cone is bounded by z = ρ)

0 ≤ z ≤ ρ (since the cone is below the plane z = ρ)

To find the volume of E using cylindrical coordinates, we integrate the function f(ρ, θ, z) = ρ dz dρ dθ over the limits defined above:

∫∫∫E f(ρ, θ, z) dz dρ dθ

= ∫[0,π/4] ∫[0,3] ∫[0,ρ] ρ dz dρ dθ

= ∫[0,π/4] ∫[0,3] ρ^2/2 dρ dθ

= ∫[0,π/4] [ρ^3/6] from 0 to 3 dθ

= ∫[0,π/4] 27/6 dθ

= (27/6)θ ∣∣ from 0 to π/4

= 27/6 * π/4

= 9π/8

(ii) Spherical coordinates:

In spherical coordinates, the region E can be expressed as follows:

0 ≤ ρ ≤ 3

0 ≤ φ ≤ π/4

0 ≤ θ ≤ 2π

To find the volume of E using spherical coordinates, we integrate the function f(ρ, φ, θ) = ρ^2 sin φ dρ dφ dθ over the limits defined above:

∫∫∫E f(ρ, φ, θ) ρ^2 sin φ dρ dφ dθ

= ∫[0,2π] ∫[0,π/4] ∫[0,3] ρ^2 sin φ dρ dφ dθ

= ∫[0,2π] ∫[0,π/4] [(1/3)ρ^3 sin φ] from 0 to 3 dφ dθ

= ∫[0,2π] ∫[0,π/4] (1/3)(27 sin φ) dφ dθ

= (1/3)(27) ∫[0,2π] [-cos φ] from 0 to π/4 dθ

= (1/3)(27) ∫[0,2π] [1 - cos(π/4)] dθ

= (1/3)(27) (2π - 2 cos(π/4))

= (1/3)(27) (2π - 2 √2/2)

= (9)(2π - √2)

= 18π - 9√2

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she sold 2 trays, and each tray contains 12 meat slices and 19 cheese slices

Explanation

Step 1

Let

Each party tray contained the same number of meat slices,so

the total number of party trays and slices of meat and cheese Doris sold is

it means she sold 2 trays, and each tray contains 12 meat slices and 19 cheese slices

I hope this helps you

Answer:

there is no picture

Step-by-step explanation:

Answer:

there no pick repost and ill tell

Step-by-step explanation:

Answer:

$14.25 for 3 bags

Step-by-step explanation:

First of all, the question is stating that 2 bags of cat food cost $9.50. This means each bag (1 bag) would cost ($4.75) So u would multiply that by 3, which is easy!

By using standard error, The nurse sampled approximately 100 patients to analyze their exercise time.

To determine the sample size, we can use the formula for the standard error of the mean:

Rearranging this formula to solve for the sample size, we get:

Plugging in the values given in the problem, we get:

However, because the population size is large (i.e. infinite), we can use the rule of thumb that a sample size of at least 30 is sufficient for a normal distribution. Therefore, the nurse should sample at least 30 patients, but she likely sampled around 100 patients to obtain a standard error of 3 minutes with a normal distribution of exercise time.

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(a). O The entire student body (the 17,000 students) and (b). O the 200 students interviewed are the answers to the above-asked question. This is a multiple-choice question about statistics sampling and population. The inquiry inquires about the problem's population of interest and sample.

The answers to the above statistics-based questions can be stated as,

(a) O The population of interest in this topic is the whole student body of the institution, which has 17,000 students because the student senate wants to know what percentage of all students support changing the grading system.

(b) O The sample in this problem consists of the 200 students who were questioned to determine their attitudes toward the proposed change in the grading system. They represent a subset of the overall student body and are used to estimate the percentage of all students who support the change.

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Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

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