someone pls help it is due on monday and thank you
The next model of a sports car will cost more than the current model. The current model costs . How much will the price increase in dollars? What will be the price of the next model?

Increase in price:

Price of next model:

The recursive formula is; 1.02(an-1 + 15) a1=200 based on the question.

The term recursive formula can be used to describe the derivation of a term in a sequence based on the previous term.

Given the information in the question, the recursive formula is; 1.02(an-1 + 15) a1=200.

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[tex]\\ \rm\Rrightarrow \sqrt{x²-10x+25}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{x²-5x-5x+25}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{x(x-5)-5(x-5)}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(x-5)(x-5)}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(x-5)^2}[/tex]

[tex]\\ \rm\Rrightarrow\pm (x-5)[/tex]

Solution set(for x-5)

for 5-x

Answer:

First, simplify the expression under the square root sign by factoring:

[tex]\implies x^2-10x+25[/tex]

[tex]\implies x^2-5x-5x+25[/tex]

[tex]\implies x(x-5)-5(x-5)[/tex]

[tex]\implies (x-5)(x-5)[/tex]

[tex]\implies (x-5)^2[/tex]

Therefore:

[tex]\implies \sqrt{x^2-10x+25}=\sqrt{(x-5)^2}[/tex]

[tex]\implies \sqrt{x^2-10x+25}=\pm(x-5)[/tex]

[tex]\implies \sqrt{x^2-10x+25}=|x-5|[/tex]

As the domain is -5 ≤ x < 5, then:

[tex]\implies y=-x+5[/tex]

and the range is 0 < y ≤ 10

Answer:

6/7

Step-by-step explanation:

all fractions have a common denominator which allows us to add all numerators and maintain the same denominator. 2+3+1=6, and put it back over 7. so 6/7.

Using it's concept, it is found that the desired probability is given by:

P(Head, Diamond AND Head, Heart) = 1/64.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, each outcome is equally as likely, having a 1/8 probability, and they are independent.

Then:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

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Answer:

-24

Step-by-step explanation:

The common difference (D) is -2. And A1 is -2. so if you just add -2 to the geometric sequence until A12, you would get -24.

Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The midpoint of a segment is the mean of the coordinates of the endpoints, hence:

[tex]3.5 = \frac{x + 8}{2}[/tex]

x + 8 = 7

x = -1.

[tex]-1 = \frac{y + 5}{2}[/tex]

y + 5 = -2.

y = -7.

The coordinates of the other end of the fence are (-1,-7).

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The percentage increase from 5 laps of race on the first day to 9 laps after several weeks is 80%

The distance ran are given as:

Initial = 5 laps

Final= 9 laps

The percentage increase is calculated using:

Percentage = (Final - Initial)/Initial

So, we have:

Percentage = (9 - 5)/5

Evaluate

Percentage = 0.8

Express as percentage

Percentage = 80%

Hence, the percentage increase is 80%

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Answer:

x² + y² = 9

Explanation:

circle formula: (x -h)² + (y - k)² = r²

where (h, k) is the center, r is radius

Here given for center: (0, 0)

Identify

Equation of circle:

Answer:

  all are NO

Step-by-step explanation:

No integer ratio with 8 in the denominator can be equal to any integer ratio with 3 in the denominator.

__

The denominators 8 and 3 are relatively prime, so equivalent fractions using them cannot be formed with integers.

The equivalent to 4/3 has a mixed-number numerator that is greater than 8.

  [tex]\dfrac{4}{3}=\dfrac{10\frac{2}{3}}{8}[/tex]

This matches none of the offered choices.

Answer:

root of 15 or in decimal form 3.87 (rounded)

Step-by-step explanation:

You just multiply both together

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[tex]\diamond\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

                Solve the following equation for b.

13b=6b+14

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

❖ First of all, we need to make sure that all the variables are on one side (the left-hand side, LHS) and numbers are on the right-hand side, RHS.

Here we have variables on the right-hand side, so we can move that term to the left-hand side, making sure to use the opposite operation:-

13b=6b+14              Subtract 6b on both sides, which results in:-

7b=14                      Divide by 7 on both sides, which results in:-

b=2                         We've found the value of b. Now, we need to check our solution by replacing b with the value of b, 2, and seeing whether or not we end up with a true statement:-

13(2)=6(2)+14                 Multiply.

26=12+14                       Now add.

26=26                          Since the left-hand side does equal the right-hand side, we conclude that our solution, b=2, is correct.

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Answer:

1 hour and 30 minutes

[tex]t = ch + td = fh[/tex]

where ch is current hour, td is time distance, and fh is final hour.

to find td, we must subtract the number of minutes in ch and fh and then base how many hours passed off of the minutes.

[tex]cm(45) - fm(15) = 30[/tex]

If half an hour passed, we can guess that only another hour passed, therefore we can make a final equation using eh for "estimated hour".

[tex]t = (cm - fm) + eh = 1:30[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Since, the Area of smaller rectangle is 35,

Let's calculate it's length ~

[tex]\qquad \sf  \dashrightarrow \:a = l \cdot w[/tex]

[tex]\qquad \sf  \dashrightarrow \:35 = l \cdot5[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 35 \div 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 7 \: ft[/tex]

And the two rectangles are similar ~ so the ratio of their sides are equal as well ~

Assume length of greater rectangle be x

[tex]\qquad \sf  \dashrightarrow \: \dfrac{25}{5} = \dfrac{x}{7} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \times 7[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 35[/tex]

Now, since the length and width of the greater rectangle is known, let's find it's Area ~

[tex]\qquad \sf  \dashrightarrow \:a = l \cdot w[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 35 \sdot25[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 875 \: \: ft {}^{2} [/tex]

So, Area of the greater rectangle is 875 ft²

The constant of proportionality shown in the table that shows the cost and the number of books is 3.

When there is a direct proportional relationship, it means that as the value of one variable increases, the value of the other variable also increases. As the number of books increases, the cost increases.

Direct proportion: y = kx

Where:

k = y/x

6/2 = 3

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Answer:3

Step-by-step explanation:

Answer:

First of all, it's the Greatest to least! Second of all, 2/1, 8/9, 7/9, and 2/3.

Step-by-step explanation:

2/1 is 2, 8/9 is 1 more ninth than 7/9, and 2/3 is less third than 1.

Answer:

It is 2/1 then 2/3 then 7/8 then 8/9  i hope this helps you friend

Step-by-step explanation:

Answer:

£4.20

Step-by-step explanation:

Let :

Equations formed :

Multiply Equation 1 by 5 and Equation 2 by 3 :

Subtract the newly formed equations :

Finding y :

Then :

Cost of 2 kg bananas and 2 kg of apples :

Answer:

0.0064

Step-by-step explanation:

Probability (2 sets of twins) :

Answer:

4

Step-by-step explanation:

2+2=4

The equation of the circle of radius 4 and center at (-1, 1) is given as follows:

[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem:

Hence, the equation is given as follows:

[tex](x - (-1))^2 + (y - 1)^2 = 4^2[/tex]

[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]

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Answer:

63 quizzes= 7 weeks

90 quizzes= x weeks

63x = (7)(90)

x= (7)(90)/63

x= 10 weeks

Answer:

a standard unit is a fixed value this value cannot be changed.

Step-by-step explanation:

it’s a fixed value that can’t be changed.

Standard unit is a unit of measurement that is accepted by the world as a universal unit of measurement that cannot be changed

Answer:

Step-by-step explanation:

a straight line equals 180°. so if one side is 117°, the other side would have to add up to 180.

180-117=63

And you can kind on figure out what is the same as the other angles. Hope his helps

Answer:

Answer:

The new function is

[tex]g(x) = {2}^{x + 3} - 2[/tex]

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

         Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

Point-slope form:-

      [tex]\sf{y-y_1=m(x-x_1)}[/tex]

Substitute 1 for y₁, 2 for m, and 0 for x₁:-

[tex]\sf{y-1=2(x-0)}[/tex]

So we conclude that Option B is correct.

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Answer:

1.5 Oz because it's just a random guess hopefully I'm right

I think

Answer:

They bought 32 pencils

Step-by-step explanation:

5.76 divided by 0.18 = 32

The probability that the spinner is multiple of 4 or multiple of 7 is 1/3

Probability is the likelihood or chance that an event will occur, Mathematically;

Probability = expected/total

If a game has a spinner with 15 equal sectors labeled 1 through 15, the total outcome is 15

P(multiple of 4) = 3/15 =1/5

Pr(multiple of 7 )= 2/15

p(multiple of 4 or multiple of 7) = 1/5 + 2/15
p(multiple of 4 or multiple of 7) = 5/15 =1 /3

Hence the probability that the spinner is multiple of 4 or multiple of 7 is 1/3

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Answer:

307.916cm^3

Step-by-step explanation:

[tex]volume \: of \: a \: cone \: = \frac{1}{3}\pi \: r {}^{2} h \\ v = \frac{1}{3} \times 3.142 \times 3.5 {}^{2} \times 24 = 307.916cm {}^{3} [/tex]