Jarred went to the bookstore,
He bought a softcover book which was on sale for 10%
off. He spent $18 on the book, What was the original
price?

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

Answer:

499.20

Step-by-step explanation:

3000

x.08.    Interest rate

=   240 interest after one year

+. 3000

=3,240 principal plus interest after one year

x. .08

  259.20. Interest in year two

+ 240.00 interest in year one

= 499.20. Interest earned in 2 years

Answer:

Step-by-step explanation:

i start with y, add 5 and then, double the result​

y                      add 5

y + 5                double the result​

(y + 5) × 2         solve        

2y + 10

or

(y + 5) × 2 =

2y + 10

Answer:

let (5,4)=(x1,y1)

(-3,-2)=(x2,y2)

now, by using distance formula

we get distance between line segment =10 unit

therefore distance =10 units ans

Solution,

As the formula...

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

\( = \sqrt{( - 8 {)}^{2} + ( - 6 {)}^{2} } \)

\( = \sqrt{64 + 36} \)

\( = \sqrt{100} \)

= 10 units...

☘☘☘....

Answer:

666

Step-by-step explanation:

From this question,

a = 1-99%

a = 1-0.99

a = 0.01

5% = z(0.05) = 2.58 when we check the standard normal table

Therefore we calculate n as:

n = (z/E)²*p*1-p

Z = 2.58

E = 0.05

P = 0.5

1-p = 0.5

(2.58/0.05)²x0.5x0.5

= 51.6²x0.5x0.5

= 665.64

Therefore n is approximately 666.

Answer:

Radius:3.5 or 7/2

Diameter:7

Step-by-step explanation:

The diameter is given, and the radius is half of the diameter because it's from the middle of the circle to the edge. Divide 7 by two and you get radius

Answer:

x = 3

Step-by-step explanation:

15x + 8 and 9x + 26 are corresponding angles and are congruent , then

15x + 8 = 9x + 26 ( subtract 9x from both sides )

6x + 8 = 26 ( subtract 8 from both sides )

6x = 18 ( divide both sides by 6 )

x = 3

We can predict that there are approximately 2,250 Art majors in the total population of 7,500 students at ASU based on the sample data.

We have,

We can use the formula for estimating population proportion:

Population proportion = sample proportion x population size

where the sample proportion is the fraction of students in the sample who are Art majors, and the population size is the total number of students in the population.

From the sample of 250 students, 75 said that they are majoring in Art, so the sample proportion of Art majors.

sample proportion = 75/250 = 0.3

The population size is 7,500 students.

Using the formula above, we can estimate the number of Art majors in the total population:

population proportion = sample proportion x population size

population proportion = 0.3 x 7,500

population proportion = 2,250

Therefore,

We can predict that there are approximately 2,250 Art majors in the total population of 7,500 ASU students based on the sample of 250 students surveyed.

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Answer:

10

Step-by-step explanation:

1.2 x 10e7 is a higher demand of 4.6 dived to the 10th

Composing f(x)=2x-8 and g(x)=1/2x+4 results in the identity function, f(g(x)) = x.

To compose the two functions, we substitute g(x) into f(x) in place of x:

f(g(x)) = 2(g(x)) - 8

= 2(1/2x + 4) - 8

= x + 8 - 8

= x

Therefore, composing the two functions results in the identity function, f(g(x)) = x.

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The equation for total amount to be paid represented as y and pounds of potatoes represented as x will be y = 0.64x

Ax + By + C = 0 can be used to express a linear equation in two variables, where x and y are the two variables, and each has a degree of one.

Ex. -2x+3y=8

Total weight of potatoes in pounds Dontrell bought= x

Let total amount Dontrell he pays= $ y

It is given 5.5 pounds are bought by paying $3.52

5.5 pounds = $3.52

1 pound = $ 3.52/5.5

1pound=$0.64(Using Unitary method)

Dontrell buy x pounds potatoes and he pays $y

Therefore,

y=0.64x

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Answer:

See explanation below

Step-by-step explanation:

We have t as a real number.

The reference number associated with t is the shortest distance along the unit circle between the terminal point determined by t and the x-axis.

c. look at the attachment

π = 90° => 2π = 180°

π = 3.14 => 2π = 6.28

so t = 6 is less than 2π

so t' = 2π - t = 2π - 6

d. same principle but direction will go clockwise rather than counterclockwise in (+) number

π = 90° => 2π = 180°

π = 3.14 => 2π = 6.28

so we ignore the (-) since it is the direction

t = 7 which is more than 2π

so t' = -7 - 2π

you have -7 because the difference will be negative which points to direction of clockwise

Give me brainliest if this helps you.

The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)

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

y = –2 cos (x + π/2) + 1.

Calculating the maximum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the maximum points to be (π/2, 3)

Calculating the minimum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the minimum points to be

(3π/2, -1) (-π/2, -1)

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Answer: As a fraction: 1/2

              As a decimal: 0.005

Step-by-step explanation:

FRACTION:

To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.

DECIMAL:

0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.

Answer:

9000

Step-by-step explanation:

The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.

Given the equation in the question:

6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31

To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.

Apply distributive property:

6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31

18x + 24 + 4x + 4 + 2 = 22x + 31

Collect and combine like terms on both sides:

22x + 30 = 22x + 31

Next, we want to isolate the variable x on one side.

22x - 22x + 30 = 22x - 22x + 31

30 = 31

However, we notice that the x terms cancel out when subtracted:

30 ≠ 31

This means that there is no solution.

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A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.

Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.

Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

The coordinates of the point that partitions the segment into a ratio of 3 to 1 are (4, -3).

To find the coordinates of the point that partitions the directed line segment from (-2, -6) to (6, -2) into a ratio of 3 to 1, we can use the concept of linear interpolation.

First, we need to determine the total distance of the line segment. We can use the distance formula to calculate this:

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

\(=\sqrt{((6 - (-2))^2 + (-2 - (-6))^2)}\)

\(= \sqrt{(8^2 + 4^2)}\)

\(= \sqrt{(64 + 16)}\)

\(= \sqrt{(80)}\)

= 4√5

Next, we calculate the distance from the starting point (-2, -6) to the partition point.

Since the ratio is 3 to 1, the distance to the partition point is (3/4) of the total distance:

distance = (3/4) \(\times\) (4√5)

= 3√5

Now, we can determine the coordinates of the partition point.

We move 3√5 units from (-2, -6) in the direction of the line segment.

To find the coordinates, we calculate the change in x and y values:

change in x = (3/4) \(\times\) (6 - (-2))

= (3/4) \(\times\)8

= 6

change in y = (3/4) \(\times\) (-2 - (-6))

= (3/4) \(\times\) 4

= 3

Adding the changes to the starting point coordinates, we get:

x = -2 + 6

= 4

y = -6 + 3

= -3

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Answer:

The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.

In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:

The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.

The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.

The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.

Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).

Answer:

189

Step-by-step explanation:

(13.5 / 100) 1400 = 189

yw ;)

Answer:

Step-by-step explanation:

x² - 3x - 1 = 0

a = 1, b = -3, c = -1

x₁ = (3 + sqrt(-3² - 4(1(-1))))/(2(1))

x₁ = (3 + sqrt(9 + 4))/2

x₁ = (3 + sqrt(13))/2

x₁ = 3.302...

x₂ = (3 - sqrt(-3² - 4(1(-1))))/(2(1))

x₂ = (3 - sqrt(9 + 4))/2

x₂ = (3 - sqrt(13))/2

x₂ = -0.302...

Answer:

they are the same amout, this is why. 4 is a factor of 8, so you can multiply the fraction 3/4 by 2 so both fractions have the same denominater. once you do that you see that your new fraction is also 6/8 because 3 times 2 = 6 and 4 times 2 = 8.

Step-by-step explanation:

hope this helps!

Answer:

(10, 5π/3)

Step-by-step explanation:

To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the given values, we get:

r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10

θ = arctan((-5√3)/5) = arctan(-√3) = -π/3

Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:

θ = -π/3 + 2π = (5π/3)

Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).

Answer: You will get $2,000 for 128 hour, or 2,000/128 = $15.625 per hour study time.

Step-by-step explanation:

We will give the solution of the following problem:

"If you decided to study for four hours a week during your junior year (32 weeks) with the expectation of getting a $2,000 scholarship to college, how much is your study time worth per hour?"

In 32 weeks you will have total of 4*32 = 128 study hours.

You will get $2,000 for 128 hour, or 2,000/128 = $15.625 per hour study time.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

(x - 9) (5x + 9) = 0

Step 02:

zero-product principle:

(x - 9) (5x + 9) = 0

(x - 9) = 0

x - 9 = 0

x = 9

(5x + 9) = 0

5x + 9 = 0

5x = - 9

x = - 9 / 5

The answer is:

x1 = 9

x2 = - 9 / 5