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Write the inequality represented by the graph using the variable x.

The paper would be 112589991 km thick if folded 50 times.

Step-by-step explanation:

Step 1; The sheet is [tex]\frac{1}{10}[/tex]mm thick which equals 0.1 mm. Every time it is folded it doubles in thickness. So if folded once it becomes 0.2 mm thick, if folded thrice it becomes 0.4mm thick.

Thickness if folded once = [tex]2^{1}[/tex] × 0.1 mm

thickness if folded twice = [tex]2^{2}[/tex]× 0.1 mm

Thickness if folded thrice = [tex]2^{3}[/tex] × 0.1 mm.

So if the paper is folded nth fold it would be [tex]2^{n}[/tex] × 0.1 mm thick.

Step 2; Using the above formula, if the paper is folded 50 times the thickness would be equal to [tex]2^{50}[/tex] × 0.1 mm = 112,589,990,684,262.4‬ mm.

1 km is equivalent to [tex]10^{6}[/tex]mm so 112,589,990,684,262.4‬‬ mm = 112,589,990.6842624‬‬ km which is rounded off to 112589991 km.

Answer: x=2 and y=8

Step-by-step explanation:see attachment

Answer:

n or the number = 5

Step-by-step explanation:

5 * (-2 + n) = 91 + (-n + 1)

-10 + 5n = 19 - n + 1

6n = 20 + 10

6n/6 = 30/6

n = 5

Answer:

The number is 51.

Step-by-step explanation:

Let the number be x and the opposite of a number is -x.

5(-2+x) = 91 + (-x + 1)

-10 + x = 91-x+1

-10 + 2x = 92

2x = 102

x = 51

Answer:  Unit =2

tens=8

hundred= 3

thousand= 4

Step-by-step explanation:

Answer:

c. 5,500

Step-by-step explanation:

The best estimate of your yearly real estate taxes is $5,500.

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total assessed value of the property.

= 200,000 + 300,000

= 500,000

Taxes.

$11 for $1000 assessed value.

This means,

$1000 value = $11

Multiply 500 on both sides.

500 x $1000 = 500 x $11

$500,000 = $5,500

Thus,

The best estimate of the taxes is $5500.

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Answer:

  300

Step-by-step explanation:

The first (and last) digit can be any of {2, 4, 6}. The 2nd and 3rd digits can be any from 00 to 99. The 4th digit is the same as the 2nd, and the 5th digit is the same as the first.

There are 3·10·10 = 300 possible even palindromes in the given range.

Answer:

300

Step-by-step explanation:

:):

Answer:

39

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Answer:

2x+7

Step-by-step explanation:

Answer:

1,200,000 square miles

Step-by-step explanation:

Given data:

Total land = 3 000 000

40% is covered by sand dunes

Land covered by sand dunes is 40% of the total area therefore

Land covered by sand dunes=(40/100) * 3000000

Land covered by sand dunes= 0.4 * 3000000

Land covered by sand dunes= 1 200 000

Final answer:

Approximately 1,200,000 square miles of Australia are covered by sand dunes, which is 40% of Australia's total area of about 3,000,000 square miles.

Explanation:

The student has asked how much of Australia is covered by sand dunes given that Australia's area is approximately 3,000,000 square miles and sand dunes cover 40% of the land.

To calculate the area covered by sand dunes, we apply the percentage to Australia's total area:

Convert the percentage into decimal form: 40% = 0.40.

Multiply the total area of Australia by the decimal: 3,000,000 square miles × 0.40.

The result gives us the area covered by sand dunes: 1,200,000 square miles.

Therefore, sand dunes cover about 1,200,000 square miles of Australia.

Answer:

x=-2

Step-by-step explanation:

first u subtract 7 on both sides resulting on 8x=-16. Then to isolate x u divide by 8 on both sides.

Answer:

Step-by-step explanation:

I've already solved this problem.

Answer:

123.9125

Step-by-step explanation:

The total amount of rainfall in Lakeview in 5.75 years is approximately 123.9125 inches. The correct answer is option C.

Lakeview gets 21.55 inches of rain per year on average.

To find the total amount of rainfall in Lakeview in 5.75 years, we can multiply the average yearly rainfall by the number of years.

Average yearly rainfall: 21.55 inches

Total rainfall in 5.75 years: 21.55 inches/year * 5.75 years

Calculating the result:

= 21.55 x 5.75

≈ 123.9125

Therefore, the total amount of rainfall in Lakeview in 5.75 years is approximately 123.9125 inches.

The correct answer is option C.

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Answer:

r=9/2 or 4.5

Step-by-step explanation:

First of all our goal is to get R by itself

by cross multiplying we get,

(r+3)*3=5r

by distributive property we get

3r+9=5r

substracting 3r from both sides we get

9=2r

by dividing by 2 in both sides we get

r=9/2 or 4.5

Answer:

Saturday

Step-by-step explanation:

Each day of the week is repeated after 7 days

So, after 19 days it would be Saturday

Answer:

yes

Step-by-step explanation

the common difference is -30

Final answer:

The sequence -38, -68, -98, -128,... is an arithmetic sequence because the common difference between consecutive terms is consistent, which is -30.

Explanation:

The student has asked whether the sequence -38, -68, -98, -128,... is arithmetic. To determine if a sequence is arithmetic, we need to check if the difference between any two consecutive terms (also known as the common difference) is the same.

Let's calculate the difference between the first two terms:

-68 - (-38) = -68 + 38 = -30

Now, let's calculate the difference between the second and the third terms:

-98 - (-68) = -98 + 68 = -30

Similarly, the difference between the third and the fourth terms is:

-128 - (-98) = -128 + 98 = -30

Since the common difference is the same (-30) for all consecutive terms mentioned, the sequence is indeed an arithmetic sequence.

Answer:

MN = 10

Step-by-step explanation:

To find the length of a line segment or the straight distance between two points, use the formula  [tex]L = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex] , where you can substitute two points, which would be (x₁ , y₁) and (x₂ , y₂). "L" stands for length.

Choose point 1 and point 2:

Point 1: M (2, -3)     x₁ = 2  y₁ = -3

Point 2: N (8, 5)     x₂ = 8   y₂ = 5

Substitute the values for the variables:

[tex]L = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]L = \sqrt{(8-2)^{2}+(5-(-3))^{2}}[/tex]    Solve inside each bracket first by adding

[tex]MN = \sqrt{(6)^{2}+(8)^{2}}[/tex]      Square each number

[tex]MN = \sqrt{36+64}[/tex]        Add the numbers

[tex]MN = \sqrt{100}[/tex]          Find the square root

[tex]MN = 10[/tex]          Length of the line segment

Therefore the length of the line segment MN is 10.

Answer:

Attach image plz

Step-by-step explanation:

Answer:

The slope is constant

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

45% = 0.45 (as a decimal)

36 × 0.45 = 16.2

Answer:

18.75

Step-by-step explanation:

since you are scaling up you do

125/80 which is 1.5625 and multiply that by 12.

Answer:

$9.5 is the cost of 1 month.

Step-by-step explanation:

the total yearly cost = 12 months = $114

Cost of per month = 1 month = $114 / 12 = $9.5

The characteristic of the linear parent function that is not true is that the range is positive real numbers (y > 0).

The correct answer is B. The characteristic of the linear parent function that is not true is that the range is positive real numbers (y > 0).

A linear parent function is represented by the equation y = x and passes through the origin (0,0). Its domain is all real numbers (-∞, ∞) and its range is also all real numbers (-∞, ∞).

A linear function with a slope of 1 is represented by the equation y = x and is a straight line that passes through every point on the graph that has the same x and y value.

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Option B 'The range is positive real numbers (y>0)' is not a characteristic of the linear parent function. The function y=x, known as the linear parent function, has its range as all real numbers, not just positive.

The characteristic of the linear parent function, which is not accurate, is: 'The range is positive real numbers (y>0)'.

The linear parent function is y = x, which indeed meets the criteria of the remaining options. It goes through the origin (0,0), its domain covers all real numbers, as x can be any real number, and it has a slope of 1 throughout. However, its range is not only positive real numbers (y>0). The range of the linear parent function actually includes all real numbers because y (the output) can take any real value, both positive and negative, not just positive.

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Answer:

          1 7/8

Step-by-step explanation:

15/8= 15/1 * 1/8

     15/8

Simplify that and you get 1 7/8.

     Hope it helps!

Answer:

1 7/8

Step-by-step explanation:

Length of wire= 15foot

Cut into 8 equal pieces

Length of each piece = 15/8

1 7/8 foot each

To calculate the number of payments for Kendra's loan using a TVM Solver, the correct setup includes an APR of 8.4% converted to a monthly rate of 0.7%, with matching payment and compounding frequencies, making Option A the accurate choice.

When Kendra takes out a loan to buy a stereo, calculating the number of payments she will have to make involves understanding the terms used in Time Value of Money (TVM) calculations. The correct set of values must account for the annual percentage rate (APR) being compounded monthly, which requires converting the APR to a monthly rate, and ensuring the payment and compounding periods match.

For Kendra's loan:

Given these conditions, the only option that correctly configures all elements for a TVM Solver is Option A:

N=; I% = 0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

This configuration accurately reflects the loan's terms, allowing the calculation of the number of payments (N) Kendra will need to make.

The correct answer is: D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END. Option A uses annual percentage rate (APR), while option D uses the periodic interest rate (monthly rate). Given that the interest rate is compounded monthly, it's more appropriate to use the periodic interest rate (option D).

To calculate the number of payments Kendra will have to make to pay off the loan, we can use the Time Value of Money (TVM) Solver feature of a graphing calculator. We need to set up the values correctly to solve for the number of payments (N).

Let's go through the options:

A. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

B. N=; I% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

C. N=; 1% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

Let's analyze each option:

A. This option has the correct annual interest rate (8.4%), correct present value (loan amount), correct payment amount, and correct compounding periods per year. Hence, it's a potential correct option.

B. This option has the interest rate incorrectly set as 0.7%. It should be 8.4%, not 0.7%. Hence, it's incorrect.

C. Similar to option B, this option has the interest rate incorrectly set as 0.7%. Hence, it's incorrect.

D. This option has the correct interest rate (8.4%), correct present value, correct payment amount, and correct compounding periods per year. Hence, it's a potential correct option.

So, options A and D are potential correct options. Both have the correct interest rate and payment amount. The difference lies in how the interest rate is represented: option A uses annual percentage rate (APR), while option D uses the periodic interest rate (monthly rate).

Given that the interest rate is compounded monthly, it's more appropriate to use the periodic interest rate (option D). Therefore, option D is the most suitable choice.

Complete Question:

Kendra took out a loan for $750 at an 8.4% APR, compounded monthly, to buy a stereo. If she will make monthly payments of $46.50 to pay off the loan, which of these groups of values plugged into the TVM Solver of a graphing to make?

A. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

B. N=; I% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

C. N=; 1% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

Answer:

63 and 72

Step-by-step explanation:

Sum the parts of the ratio, 7 + 8 = 15 parts

Divide the sum by 15 to find the value of one part of the ratio

135 ÷ 15 = 9 ← value of 1 part of the ratio, thus

7 parts = 7 × 9 = 63

8 parts = 8 × 9 = 72

The numbers are 63 and 72

Therefore( [tex]m^3 -6m^2-16m +63[/tex] )÷ (m-7)  [tex]= (m^2 +m-9)[/tex]

Step-by-step explanation:

[tex]m^3 -6m^2-16m +63[/tex]

[tex]=m^3 -7m^2[/tex][tex]+m^2 -7m[/tex][tex]-9m+63[/tex]

[tex]= m^2(m-7)[/tex][tex]+m(m-7)[/tex][tex]-9(m-7)[/tex]

[tex]= (m-7 ) (m^2 +m-9)[/tex]

Therefore( [tex]m^3 -6m^2-16m +63[/tex] )÷ (m-7)  [tex]= (m^2 +m-9)[/tex]

Answer:

5x^2 - 13x + 3 + x - 3

5x^2 - 12x

Answer:

Exact form:

22/13

Decimal form:

1.692307

Answer:

10.3773584906

Step-by-step explanation: