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Answer:

529 plan

Step-by-step explanation:

The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses

Answer:

529 plan

Step-by-step explanation:

A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.

5 Households. To determine the number of households included in the histogram representing the number of television sets per household for a sample of U.S. households, follow these steps:

1. Identify the bars on the histogram, which represent the number of television sets per household.
2. Find the height of each bar, which represents the number of households with that specific number of television sets.
3. Add up the heights of all the bars in the histogram.

The total sum represents the number of households included in the histogram.

The x-axis displays the total number of TVs owned by households, while the y-axis displays the number of homes utilising a specific number of TVs.

There are only 5 households total, and each one has 5 televisions. This is the lowest proportion of homes with the same number of televisions, which makes sense given that having five televisions in a single home is unusual.

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Answer:

Dividend: 3 1/2

Divisor: 1 3/4

To solve this problem, we can convert both mixed numbers to improper fractions:

Dividend: 7/2

Divisor: 7/4

Then we can divide the two fractions:

(7/2) ÷ (7/4) = (7/2) x (4/7) = 2

So the quotient is 2, which is a whole number. Therefore, the division problem 3 1/2 ÷ 1 3/4 = 2 has been solved.

Answer:

1/4

Step-by-step explanation:

1/4 because whenever 2 fractions have the same denominator if the numerator is lower then the other numerator it is less but if it is more than it is more

Hopes this helps please mark brainliest

The probability that the first card will be a club, the second card will be a black card, and the third card will be an ace is 1/104.

There are 13 clubs, 26 black cards (13 clubs and 13 spades), and 4 aces in a standard deck of cards. Since the cards are drawn with replacement, the probability of drawing a club on the first draw is 13/52 = 1/4. The probability of drawing a black card on the second draw is 26/52 = 1/2, and the probability of drawing an ace on the third draw is 4/52 = 1/13.

By the multiplication rule of probability, the probability of all three events occurring together is the product of their individual probabilities:

P(club, black, ace) = P(club) × P(black) × P(ace)

= (1/4) × (1/2) × (1/13)

= 1/104

Therefore, the probability that the first card will be a club, the second card will be a black card, and the third card will be an ace is 1/104.

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Answer:

5

Step-by-step explanation:

(0.000064)^5/6 divided by (0.00032)^6/5

(0.00032)^6/5=(0.000064)

and

(0.000064)^6/5=(0.00032)

so now we have (0.00032) divided by (0.000064)

which is 5!

hope this helps!

Answer: yes

Step-by-step explanation: no

Answer:

Amount of sales tax ≈ $2.44 dollars;

Price with sales tax ≈ $33 dollars;

Step-by-step explanation:

1. Calculate the 'Amount of sales tax':

Formula:

Amount of sales tax =

Sales tax rate × Price without sales tax

Calculation:

Amount of sales tax =

8% × 30.56 =

8/100 × 30.56 =

8 ÷ 100 × 30.56 =

0.08 × 30.56 =

2.4448 ≈

2.44

(Rounded to a maximum of 2 decimals)

2. Calculate the 'Price with sales tax':

Formula:

Price with sales tax =

Price without sales tax + Amount of sales tax

Calculation:

Price with sales tax =

30.56 + 2.4448 =

33.0048 ≈

33

(Rounded to a maximum of 2 decimals)

The correct answer is

2 loaves of pumpkin bread and 6 loaves of banana bread. Option C.

For the solution for the Pumpkin bread:

4 eggs

3 1/2 cups of flour

Banana bread:

1 egg

1 (0.5) cups of flour

Available ingredients:

14 eggs

16 cups of flour

Assume 2 loaves of pumpkin bread and 6 loaves of banana bread

For the solution for the Pumpkin bread:

PB=4 eggs* 2

PB= 8 eggs

PB=3 *0.5 * 2

PB = 7 cups of flour

For the solution of the Banana bread:

BB =1 *6

BB= 6 eggs

For cups

BB= 1 (0.5) * 6

BB= 9 cups of flour

In conclusion, The solution of the Total used ingredients

I=8 + 6

I= 14 eggs

For cups

IC=7 + 9

IC= 16 cups of flour

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Answer:

C 2 loaves of Pb and 6 loaves of BB

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

The range of the given function y=3/4x+17 is {8, 13.4}

What is domain and range ?

The bis the set of possible input values, and the range is the set of all possible output values of the graph.

The given equation is :

y=3/4x+17

the domain of the function = {-12, -4, 8}

Now, for x = -12 :

y = 3/4 (-12) + 17

y = -9 + 17

y = 8

Now, for x = -4.8 :

y = 3/4 (-4.8) + 17

y = -3.6 + 17

y = 13.4

Therefore, the range of the given function is {8, 13.4}

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=============================================

Explanation:

Focus on triangle OCT. We can see that the triangle is isosceles because OT = OC are two radii of the same circle. That consequently means angles T and C are the congruent base angles (rotate the triangle to see what I mean). The base angles are opposite the congruent sides.

Since base angle C is 35 degrees, that makes base angle T this measure as well.

-----------

We just found angle CTO is 35 degrees. Angle PTO is supplementary to this, so it is 180-35 = 145 degrees.

Now focus solely on quadrilateral PTOQ. The goal is to find angle O, aka angle QOT. We found angle T in the paragraph above and it's 145 degrees. Angle Q is 90 degrees assuming segment PR is tangent to the circle at point Q.

------------

Recall that for any quadrilateral, the interior angles always add to 360

let x be the measure of angle O, aka angle QOT

P+T+O+Q = 360

60+145+x+90 = 360

x+295 = 360

x = 360-295

x = 65

Therefore, angle QOT is 65 degrees

John's disposable income after the income tax is 9,000 (10,000 - 10% of 10,000). His consumption expenditure is 1,000, leaving 8,000 (9,000 - 1,000) available for saving. With a marginal propensity to save of 0.4, John will save 3,200 (0.4 * 8,000) in this scenario.

John's income of 10,000 is reduced by the income tax of 10%, resulting in a disposable income of 9,000 (10,000 - 10% of 10,000). Autonomous consumption expenditure, which represents the minimum spending required for basic needs, is 1,000.

The remaining disposable income available for saving is 8,000 (9,000 - 1,000). The marginal propensity to save of 0.4 indicates that for every additional unit of disposable income, John will save 40% of it. Multiplying the marginal propensity to save by the disposable income available for saving, we find that John will save 3,200 (0.4 * 8,000) in this scenario.

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Answer:

The first one or A. 6.5y + 10

Step-by-step explanation:

0.5y + 10.5 + 6.5y - 0.5 - 0.5y

10.5 + 6.5y - 0.5

6.5y + 10

Answer:

The system of equations will be:

p(x) = 0.9x + 6.80

m(x) = 0.65x + 7.30

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the linear equation

f(x) = mx+b

where

Analyzing Papa's Pizzeria p function:

Given that A large pizza at Papa's Pizzeria cost $6.80 plus $0.90 for each topping.

As the fixed cost or initial cost of Papa's Pizzeria is $6.80.

As Papa's Pizzeria offers $0.90 for each topping.

We know that the slope-intercept form of the linear equation

f(x) = mx + b

In this case, the function is m.

now substituting m = 0.9 and b = 6.80 in the slope-intercept form of linear equation

p(x) = 0.9x + 6.80

Thus, the equation that represents the Papa's Pizzeria topping and cost model.

p(x) = 0.9x + 6.80

Analyzing Papa's Pizzeria p function:

Given that a large cheese pizza at Mama's Pizza costs $7.30 plus $0.65 for each topping.

As the fixed cost or initial cost of Mama's Pizza is $7.30.

As Mama's Pizza offers $0.65 for each topping.

We know that the slope-intercept form of the linear equation

f(x) = mx + b

In this case, the function is m.

now substituting m = 0.65 and b = 7.30 in the slope-intercept form of linear equation

m(x) = 0.65x + 7.30

Thus, the equation that represents the Mama's Pizza topping and cost model.

m(x) = 0.65x + 7.30

Conclusion:

The equation that represents the Papa's Pizzeria topping and cost model.

p(x) = 0.9x + 6.80

The equation that represents the Mama's Pizza topping and cost model.

m(x) = 0.65x + 7.30

Thus, the system of equations will be:

p(x) = 0.9x + 6.80

m(x) = 0.65x + 7.30

Hence, option D is correct.

Answer:

D

Step-by-step explanation:

In Quadrant 2, cosine will be negative so we can eliminate options B and C. If tan theta = -4/3 we know the opposite side to theta is 4 and the adjacent side to theta is 3. Using Pythagorean Theorem, the hypotenuse is 5 which means cos theta = adjacent / hypotenuse = -3/5.

The simplified form of the expression 2x^2 - 3x - 2 remains as 2x^2 - 3x - 2.

To simplify the expression 8x - 2x - x^2, we can combine like terms by adding or subtracting coefficients.

8x - 2x - x^2

First, let's combine the x terms:

(8x - 2x) - x^2

This simplifies to:

6x - x^2

Therefore, the simplified form of the expression 8x - 2x - x^2 is 6x - x^2.

Now, let's simplify the expression 2x^2 - 3x - 2:

The expression is already in simplified form, and no further simplification is possible.

Therefore, the simplified form of the expression 2x^2 - 3x - 2 remains as 2x^2 - 3x - 2.

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Answer:

-4

Step-by-step explanation:

you subtract 21 from 17 and you get -4

Answer:

\(\text{C. }g(x)=(x-5)^2\)

Step-by-step explanation:

The function \(y=(x-c)^2\) has a phase shift of \(c\) to the parent function \(y=x^2\). Since \(g(x)\) has moved to the right 5 units from the parent function \(f(x)=x^2\), we're looking for a value of \(c=5\).

Therefore, we have:

\(g(x)=\boxed{(x-5)^2}\)

Answer:

\((x-1)^{2}+(y-3)^{2} = 5\)

Step-by-step explanation:

Given the general equation of a circle represented as:

\((x-a)^{2}+(y-b)^{2} = r^{2}\) where:

(a, b) is the centre of the circle and r is the radius

Given the centre located a (1,3), to get the radius we will take the distance between the centre point of the circle the the point that lies on its circumference i.e (0,1).

Using the formula for calculating thee distance between 2 points, we have:

\(r = \sqrt{ (x2-x1)^{2}+(y2-y1)^{2}}\)

x1 = 1, y1 = 3, x2 = 0, y2 = 1

\(r = \sqrt{ (0-1)^{2}+(1-3)^{2}}\\r=\sqrt{1^{2} +(-2)^{2}}\\r=\sqrt{1+4}\\r=\sqrt{5}\)

Substituting this values of the centre and radius of the circle into the general equation of a circle we have:

\((x-1)^{2}+(y-3)^{2} = (\sqrt{5}) ^{2}\\(x-1)^{2}+(y-3)^{2} = 5\)

This gives the required equation of the circle.

Answer:

Here's the answer I hope it helps!

Step-by-step explanation:

The interval between neighboring  x-values shown in the table is of 1.

The ratio between neighboring y-values is of 4.

From given table,

x-values are,   \(1,2,3,4,5\)

Difference between two consecutive x- values are,

          \(2-1=3-2=4-3=5-4=1\)

y- values are,  \(1,4,16,256,1024\)

The ratio between neighboring y-values is,

            \(\frac{4}{1}=\frac{16}{4} =\frac{1024}{256}=4\)

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\(\\ \rm\longmapsto 2x+15+2x-20+x=180\)

\(\\ \rm\longmapsto 5x-5=180\)

\(\\ \rm\longmapsto 5x=180+5=185\)

\(\\ \rm\longmapsto x=\dfrac{185}{5}=37\)

Now

Answer:

We know that, the sum of all the angles of a triangle is 180°.

According to the above problem,

\((2x - 20) + (2x + 15) + x = 180 \\ 2x - 20 + 2x + 15 + x = 180 \\ 5x - 5 = 180 \\ 5x = 180 + 5 \\ 5x = 185 \\ x = \frac{185}{5} \\ \boxed{x = 37}\)

Therefore, the value of x is 37.

→ P = (2x - 20)° = {2 (37) - 20}° = 54°

→ Q = (2x + 15)° = {2 (37) + 15}° = 89°

→ R = (x)° = 37°

The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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The expected value of the sample mean of mpg derived from a random sample of four passengers is 30.5 mpg.

The expected value of the sample mean can be calculated using the formula

E(x) = μ

where x is the sample mean, and μ is the population mean.

In this case, the population mean is given as 30.5 mpg. The standard deviation of the population is also given as 4.1 mpg.

The standard deviation of the sample mean can be calculated using the formula

σx = σ/√n

where σ is the population standard deviation and n is the sample size.

Substituting the given values, we get:

σx = 4.1/√4 = 2.05

So the expected value of the sample mean is

E(x) = μ = 30.5 mpg.

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Answer:

He did not simplify correctly and forgot to place the decimal point correctly.

Step-by-step explanation:

To simplify the equation, one needs to divide both sides of the equal sign by 5.

i.e 5.25/5=5/5

Here we find 1.05=1

Note the placement of the decimal point.

Ralph received his June flash card bill, which includes a previous balance and a finance charge because he did not pay his May bill in full.

Ralph's June flash card bill reflects the consequences of not paying his May bill in full. When a credit card balance is not paid in full by the due date, the remaining amount is carried over to the next billing cycle, resulting in a previous balance. This previous balance represents the unpaid amount from the previous month, which is still owed.

Additionally, credit card companies apply finance charges to outstanding balances that are not paid in full. A finance charge is the cost of borrowing money from the credit card issuer. It is typically calculated based on the outstanding balance and the applicable interest rate.

Therefore, Ralph's June bill includes a previous balance, which represents the unpaid amount from May, and a finance charge, which is the cost incurred for carrying that balance. These charges serve as a reminder for Ralph to pay his credit card bills in full to avoid accumulating additional costs and interest charges in the future.

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Answer: ion know i'm guessing 4

Step-by-step explanation: because it shows 8 at the top, so since it's full and it's 4,000 then that'll basically make 8 the 4000, so since 4 is half of 8 then we prolly have our answer right there

Answer: It would be 20

Step-by-step explanation: The formula for height would be h= v/pi r squared, just plug in the numbers

Answer: A

It has a negative gradient.

Hope this helps :))

P.s. Can you  mark me as the brainliest? <3

Answer:

Step-by-step explanation:

Remark

You can read the y intercept right off the graph. Follow the y axis upwards until the line intercepts the y axis. I think you will find it is at 0,5

So far what you know is

y = mx + 5

Finding m is a little harder. I would use 6,0 and 0,5 as the two points that will define m.

Givens

x1 = 6

x2 = 0

y1 = 0

y2 = 5

Equation

m = (y2 - y1) / (x2 - x1)           Put the givens into this equation.

Solution

m = (5 - 0) / (0 - 6)

m = 5/-6

m = - 5/6

Answer

The line is

y = -5/6 x + 5