Jenny drove 303 miles using 15 gallons of gas. At this rate, how many miles would she drive using 16 gallons of gas?

If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.

The "Circumference" of a circle is known as the distance around the boundary of a circle.

The circumference of a circle is given by the formula : 2 × π × radius,

where π (pi) is a mathematical constant approximately equal to 3.14,

We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :

⇒ Circumference = 2 × 3.14 × 4.2 meters,

⇒ Circumference ≈ 26.4 meters,

Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.

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Answer:

-6y^4 - 7y^2

Explanation:

Distribute y2 with -4y2 and 7

-4y4 - 7y2 - 2y4

Combine the like terms, -4y4 and 2y4

-6y4 - 7y2

Answer:

above is the solution to the question

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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Answer: $5400

Step-by-step explanation:

x =  amount raised so far

13500 - x = amt. still needed

x/3 = (13500 - x)/2

2x = 3(13500 - x)

2x = 40500 - 3x

5x = 40500

x = 40500/5 = 8100 (amt. raised so far)

13500 - 8100 = 5400 (amt. still needed)

Answer:

4b=y-10

Step-by-step explanation:

1) Since we have an Arithmetic Sequence, whose common difference is 3 Then we can write the following about its explicit formula

2) And examining the other options, we can state the following about its Recursive Formula which depends on the previous term:

3) Hence the answers are the first option and the last one. For Explicit and Recursive formula.

The Zeros of the polynomial function partially graphed below have even multiplicity are x = -3 and x = 3.

The zeros of a Polynomial graph are simply the points where the graph curve crosses the x-axis.

In simply terms, the Zeros of a function are the values of the independent variable that make the function equal to 0. Multiplicity just refers to how many copies of a given zero exist.

From the given graph, the zeros of the Polynomial function are x = 2 and x = 3 and x = -3

An odd multiplicity means the graph of the function crosses the x-axis at that point. An even multiplicity means the curve contacts the x-axis at that point and backs instead of crossing.

Thus, the odd multiplicity is at x = 3

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John William is entitled to purchase 15,000 shares before the offering is made to the public.

a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.

John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.

To convert this proportion to a percentage, we multiply by 100:

Percentage of the total vote = 0.3 * 100 = 30%

Thus, John William will control 30% of the total vote at the.         shareholder meeting.    

b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.

John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.

If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:

Entitlement = (3/10) * 50,000 = 15,000 shares.

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Answer:

nooo.......how there can only be 20 students.....!

The answer is no!

There can't be 20 students in that class because the ratio is 4:9 so its either 4 boys and 9 girls or 4 girls and 9 boys.This is a total of 13 students because (4+9=13).The answer is That there can not be 20 students in that class because there is only 13 students.

Answer:

\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.

Step-by-step explanation:

The average exact answer is 801,863. Rounding each number all the way means that 417,459 is rounded to 400,000 and 384,404 is rounded to 400,000. 400,000 + 400,000 = 800,000, which is rounded to 801,863.

417,459 rounded to 400,000

384,404 rounded to 400,000

400,000 + 400,000 = 800,000

800,000 rounded to 801,863

Exact answer is 801,863

When rounding each number all the way, 417,459 is rounded down to 400,000 and 384,404 is rounded up to 400,000. When adding these two numbers, the exact answer is 801,863. This can be shown by step by step calculations. First, 417,459 is rounded to 400,000 and 384,404 is rounded to 400,000. Next, 400,000 + 400,000 equals 800,000. Finally, 800,000 is rounded up to 801,863, which is the exact answer. This demonstrates how rounding each number all the way and then adding them together can be used to estimate the exact answer without having to do any more complex calculations.

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The expression that shows the result of applying the distributive property is 21y - 7/11 (option D).  

The distributive property states that an expression that has this form a(b + c) can be solved as a x (b + c) which becomes ab + ac.  

Thus, to solve an expression using the distributive property, multiply the term in the brackets by the term outside the brackets. Multiplication is the process of determining the product of two or more numbers. The sign that represents multiplication is x.

7(3y - 1/11)

= 7 x (3y - 1/11)

= 21y - 7/11

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Answer:

65/68

Step-by-step explanation:

Answer:

the are is all the the lengths on the shape your using added

Step-by-step explanation:

Answer:

E is a major arc

C is a minor sector

A is a major segment

Major segment is the portion (or part) of the circular region enclosed between a chord and the corresponding major arc.

Major arc is the longer arc connecting two endpoints on a circle.

A sector with a central angle less than 180° is called a minor sector.

Answer:

1: b= 68 2: b=42 3: b=78 4: b=80

Step-by-step explanation:

whenever the Angle is congruent it will be the same

Answer:

V=1/3*pi*radius(to the power of two)*height

Answer: 14 in squared

Answer:

To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.

Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)

Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:

S = (n/2) x (a + l)

where S is the sum, n is the number of terms, a is the first term, and l is the last term.

Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:

S = (10/2) x (45 + 18) = 5 x 63 = 315

Therefore, Naina used a total of 315 beads to complete the ornament.

Answer:

The answer to your problem is, 1260

Step-by-step explanation:

Well we know she made 10 “ strand ornaments “ for each layers we would need to add;

45 + 42 + 39

= 126

We would actually then need to multiply it by 10. Shown:

126 × 10

= 1260

Thus the answer to your problem is, 1260

Answer:

6x^2+4xy

Step-by-step explanation:

You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)

6x^2+4xy

hopes this helps please mark brainliest

Answer: 11u - 44

Step-by-step explanation:

11u - 44.

You have to distrubute the 11 to everything inside the parenthesis. So it becomes 11*u or 11u and 11*-4 or -44.

Answer:

11u - 44

Step-by-step explanation:

11(u - 4)

We have to distribute

(11 × u) + (11 × -4)

11u - 44

Answer:

\(\text{f)} \quad y=80(1.1)^x\)

\(\text{g)} \quad y=225(0.8)^x\)

\(\text{h)} \quad y=5(3)^x\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}\)

Given points:

Substitute the given (x, y) points into the exponential function formula to create two equations:

\(\implies 72.73=ab^{-1}\)

\(\implies 106.48=ab^3\)

Divide the second equation by the first equation to eliminate a:

\(\implies \dfrac{106.48}{72.73}=\dfrac{ab^3}{ab^{-1}}\)

\(\implies \dfrac{106.48}{72.73}=\dfrac{b^3}{b^{-1}}\)

Solve for b:

\(\implies \dfrac{106.48}{72.73}=b^3 \cdot b^{1}\)

\(\implies \dfrac{106.48}{72.73}=b^{3+1}\)

\(\implies \dfrac{106.48}{72.73}=b^4\)

\(\implies b=1.09998968...\)

\(\implies b=1.1\)

Substitute the found value of b into one of the equations and solve for a:

\(\implies 72.73=a \cdot (1.09998968...)^{-1}\)

\(\implies a=80.0022499...\)

\(\implies a=80\)

Substitute the found values of a and b into the exponential function formula:

\(\implies y=80(1.1)^x\)

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

Given points:

Substitute the given (x, y) points into the exponential function formula to create two equations:

\(\implies 351.56225=ab^{-2}\)

\(\implies 115.2=ab^3\)

Divide the second equation by the first equation to eliminate a:

\(\implies \dfrac{115.2}{351.56225}=\dfrac{ab^3}{ab^{-2}}\)

\(\implies \dfrac{115.2}{351.56225}=\dfrac{b^3}{b^{-2}}\)

Solve for b:

\(\implies\dfrac{115.2}{351.56225}=b^3 \cdot b^{2}\)

\(\implies \dfrac{115.2}{351.56225}=b^{3+2}\)

\(\implies \dfrac{115.2}{351.56225}=b^5\)

\(\implies b=0.800000113...\)

\(\implies b=0.8\)

Substitute the found value of b into one of the equations and solve for a:

\(\implies 115.2=a(0.800000113...)^3\)

\(\implies a=224.999904\)

\(\implies a=225\)

Substitute the found values of a and b into the exponential function formula:

\(\implies y=225(0.8)^x\)

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

Given points:

Substitute the given (x, y) points into the exponential function formula to create two equations:

\(\implies 405=ab^4\)

\(\implies 98415=ab^9\)

Divide the second equation by the first equation to eliminate a:

\(\implies \dfrac{98415}{405}=\dfrac{ab^9}{ab^4}\)

\(\implies 243=\dfrac{b^9}{b^4}\)

Solve for b:

\(\implies 243=b^9 \cdot b^{-4}\)

\(\implies 243=b^{9-4}\)

\(\implies 243=b^{5}\)

\(\implies b=3\)

Substitute the found value of b into one of the equations and solve for a:

\(\implies 405=a \cdot 3^4\)

\(\implies 81a=405\)

\(\implies a=5\)

Substitute the found values of a and b into the exponential function formula:

\(\implies y=5(3)^x\)

Explanation: In this expression, +2w, +4w, and +8w are called terms and the numbers in front of the variables, +2, +4, and +8 are called coefficients.

Because the variables are identical,

the three terms in this problem are called like terms.

They can be added together by adding their coefficients.

Since 2 + 4 + 8 is 14, 2w + 4w + 8w is 14w.

To calculate the amount of money needed to deposit into the account today, we can use the concept of present value. The present value represents the current value of future cash flows, taking into account the time value of money.

1. To calculate the present value of the cash flows, we can use the formula for the present value of an annuity:

PV = C * (1 - (1 + r)^(-n)) / r

Where PV is the present value, C is the cash flow per period, r is the interest rate per period, and n is the number of periods.

In this case, the cash flow per period is $100, the interest rate per period is 6% (0.06), and the number of periods is 20.

Plugging in the values into the formula:

PV = 100 * (1 - (1 + 0.06)^(-20)) / 0.06

Calculating this value gives us the amount of money needed to deposit into the account today.

2. To show explicitly using an Excel spreadsheet, you can set up a column for each year, starting from year 0 (the present year) to year 20. In the first row, enter the initial deposit amount calculated in step 1. In the subsequent rows, use a formula to calculate the value for each year by adding the interest earned and subtracting the annual withdrawal of $100. The last value in year 20 should be zero, indicating that the account will have no remaining balance after the last withdrawal.

3. If the bank's annual interest rate changes to 10%, you would need to recalculate the present value using the new interest rate. Repeat step 1 with the new interest rate of 10% (0.10) to find the updated amount of money needed to deposit into the account today. Compare this value with the previous amount calculated with a 6% interest rate to determine the difference.

The calculated measure of the angle D is (c) 32 degrees

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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For the given problem:

Let the speed of the airplane in still air = x

And the speed of the wind = y

when the airplane flies into a headwind for 10 hours Covering a distance of 2000 miles.

So, speed = distance over time

so,

When the airplane has a tailwind and covers the same distance in 8 hours

so,

Solve the equations (1) and (2)

Add the equation to cross y, then solve for x:

substitute with x into equation (2) to find y

So, the answer will be:

The speed of the plane in still air = 225 miles per hour

The speed of the wind = 25 miles per hour

Answer:

You have to do 8/100 * 20

Step-by-step explanation:

Answer:

78.75

Step-by-step explanation: