What is the absolute value of the number plotted on the number line?.

A. -1.75
B. -1.25
C. 1.25
D. 1.75

If you rent an apartment that cost $1000 per month during the first year, but the rent is set to go up 8% per year, the the rent amount  of the apartment during the 5th year of living in the apartment is $1469.32

The initial rent amount = $1000

The percent of rent increase each year = 8%

Time period = 5 years

Here we can use the compound interest equation

A = [tex]P(1+\frac{r}{100})^t[/tex]

Substitute the values in the equation

The rent amount  of the apartment during the 5th year of living in the apartment = [tex]1000(1+\frac{8}{100})^5[/tex]

= $1469.32

Hence, if you rent an apartment that cost $1000 per month during the first year, but the rent is set to go up 8% per year, the the rent amount  of the apartment during the 5th year of living in the apartment is $1469.32

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In the pair of given angles, the value of 2x and x is 52° and 26°.

So, the value of 2x and x:

Now, solve for x and 2x as follows:

Therefore, in the pair of given angles, the value of 2x and x is 52° and 26°.

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Answer:

The y intercept is : 65

Step-by-step explanation:

The y intercept is 65 as it is in the form of y=mx+c.

The c is the y intercept, being 65

A C E

Those are the answers

Answer:

Step-by-step explanation:

Answer:

33/50

Step-by-step explanation:

8/12=.66666667

.6666667=33/50

33/50 in simplest form is 33/50

hope this helped

have a good day ^^

Let:

Oc = original cost = $17

Sp = Sale price

D = Discount percent = 12% = 12/100 = 0.12

The sale price will be:

The sale price is $14.96

No. of ways of selecting the 5 member committee by combination= 1981

What are the number of ways of selecting the 5 member committee ?

No. of women faculty in the mathematics department = 7

No. of men faculty in the mathematics department = 7

Total number of faculty members = 14

Condition - at least one woman must be on the committee

No. of ways of selection = C (14, 5) - C (7, 5)

We know that combination C(n , r) = [tex]\frac{n!}{(n-r)!r!}[/tex]

Consider the total combination C (14, 5),

[tex]C (14, 5)=\frac{14!}{9!5!} \\\\=\frac{14 *13* 12 *11 *10 *9!}{9!* 5!} \\\\=\frac{14 *13* 12 *11 *10}{120} \\\\= \frac{240240}{120} \\\\= 2002[/tex]              

Consider the combination of men C (7, 5) ,

[tex]C (7, 5)=\frac{7!}{2!5!} \\\\=\frac{7*6*5!}{2!* 5!} \\\\=\frac{7*6}{2} \\\\= 7*3\\\\=21[/tex]

No. of ways of selection = C (14, 5) - C (7, 5)

                                        = 2002 - 21

                                        =1981

No. of ways of selecting the 5 member committee of the department with least one woman by combination= 1981

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Answer:

Step-by-step explanation:

1 T shirt = 28.14

There are 2 methods this can be done.

Method `1

Adding 3 times

28.14 + 28.14 + 28.14 = $84.42

Method 2

Multiplying 28.14 by 3

28.14 times 3 = $84.42

Therefore answer is 84.42

Answer:

Step-by-step explanation:

Comment and Answer

√5^x

The square root is really 0.5 as a decimal or 1/2 as a fraction. Both are powers.

So the square root of 23 can be written as 23^.5

For your question, you divide the power (x) by 2 so it looks like this.

5^(x/2)

Given:

a)

b)

Required:

To arrange in the increasing order.

Explanation:

a)

Here, the first two places' numbers are the same.

Let us check the hundredth decimal place.

The lowest number is 8.008.

The second lowest number is 8.08.

The third lowest number is 8.081

The fourth lowest number is 8.09.

So, the numbers are in ascending order is,

b) Here, the first t places' numbers are the same.

Let us check the hundredth decimal place.

The lowest number is 14.200.

The second lowest number is 14.204.

The third lowest number is 14.210.

The fourth lowest number is 14.240.

So, the numbers ar

Answer: Slope= -2.000

  x-intercept= -2

  y-intercept= -4.000

  Hope this helps !

Answer:

x = -5/2

Step-by-step explanation:

-15/2 = 3x

multiply both sides by 2:

2(-15/2) = 2(3x)

-15 = 6x

divide both sides by 6:

-15/6 = 6x/6

x = -15/6

this can be reduced to:

x = -5/2

Step 1: Speed is defined as the rate of covering a distance, mathematically it is given by

Step 2: Make the time (t) of the subject in the above speed formula

Step 3: Given the distance covered and the average speed used during the trip as

Step 4: Substitute the values for distance and speed in the time formula in step 2

Hence, Santa's trip will take up to 21 hours

Answer:

To find out the time required to travel the distance of 1260 miles we need to divide the total distance travelled by the distance travelled in one hour.

[tex]1260/60=21[/tex]

So, it tool 21 hours for Santa to complete the trip

The value of x according to the complete task content as given is; 5.

It follows from the complete task content that a right angled triangle is given(in which case one of the angles is a right angle = 90°).

Hence, the required value of x can be determined from the; sum of interior angles of a triangle as follows;

90° + 54° + 7x + 1° = 180°

7x = 180° - 90° - 54° - 1°

Evaluate the right side of the equation;

7x = 35°

Divide both sides by; 7;

x = 35°/7

x = 5.

Ultimately, the value of x according to the task content is; 5.

Remark:

The completed task content is; The measures of the angles of a triangle are shown in the figure below. Solve for x. The figure is a right triangle with the other two interior angles 54° and (7x + 1)°.

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Given data:

The given ratio is 9:27.

The given ratio can be written as,

Thus, the given ratio can be written as 1:3 so, second option is correct.

Answer:

[tex]\dfrac{3}{2\cos\theta - r\sin\theta}[/tex]

Step-by-step explanation:

The polar coordinate system uses two parameters r and θ where r is the magnitude of the radius of the circle in polar form(also known as the radial coordinate) and θ  the angle which the which the radius makes relative to the x=axis

The following equations are used to convert from cartesian coordinate to polar coordinates

[tex]r = \sqrt{x^2 + y^2}\\\\\\x = r\cos\theta\\\\y= r\sin\theta\\\\[/tex]

Substituting for x and y in terms of r and θ into the equation 2x - 3y = 3 gives

[tex]2x - y = 3\\\\2r\cos\theta - r\sin\theta = 3\\\\r(2\cos\theta - r\sin\theta = 3\\\\r = \dfrac{3}{2\cos\theta - r\sin\theta}[/tex]

Use 1-Prop Z Int to create a 95% confidence interval.

Z test should be employed because there is only one set of samples collected and the sample size is huge.

An observed percentage is compared to a theoretical one using a one proportion z-test. The test statistic is determined as follows:

z = (p-p0) / √(p0(1-p0)/n)

where:

p = observed sample proportion

p0 = hypothesized population proportion

n = sample size

You can reject the null hypothesis if the p-value associated with the test statistic z is less than your selected level of significance (popular choices are 0.10, 0.05, and 0.01).

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this is the answer to your equation hope it helps thanks

Answer:

D. [tex]\dfrac{27}{4}\\\\[/tex]

Step-by-step explanation:

[tex]\mathrm{With\;x=\dfrac{1}{8}\;and\;y = \dfrac{3}{16}\;we\;get}\\\\[/tex]

[tex]2\left(\dfrac{1}{8}+4\right)-\left(\dfrac{3}{16}\cdot 8\right)\\\\[/tex]

[tex]\mathrm{Calculate\:within\:parentheses}\:\left(\dfrac{1}{8}+4\right) = \dfrac{1}{8}+\dfrac{32}{8}} = \dfrac{33}{8}\\\\[/tex]

[tex]2\left(\dfrac{1}{8}+4\right) = 2\cdot \dfrac{33}{8} = \dfrac{33}{4}[/tex]

[tex]y \cdot 8 = \dfrac{3}{16} \cdot 8} = \dfrac{3}{2}\\\\[/tex]

So

[tex]2(x + 4) - y\cdot 8 = \dfrac{33}{4} - \dfrac{3}{2}\\\\\\= \dfrac{33-6}{4}\\\\= \dfrac{27}{4}\\\\[/tex]

The car stops after moving for 20 seconds

From the question, the function is given as

v(t) = 0.5t^2 - 14t + 80

When the car comes to a stop, the vehicle is 0

This is represented as

v(t) = 0

So, we have

0.5t^2 - 14t + 80 = 0

Expand the equation

0.5t^2 - 10t - 4t + 80 = 0

Factorize the equation

0.5t(t - 20) - 4(t - 20) = 0

So, we have

(0.5t - 4)(t - 20) = 0

Solve for t

t = 8 and t  = 20

20 is greater than 8

Hence, the car comes to a stop at 20 seconds

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Answer:

20%

Explanation:

To know the percentage, we need to identify what percentage of $50 represents $10. So, we can calculate the percentage as:

Therefore, the answer is 20%

The slope intercept form of the equation that passes through (-6, -5) and (-4, -4) is y = 1 / 2x - 2

The equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, let's find the slope of the lines using (-6, -5) and (-4, -4).

m = y₂ - y₁ / x₂ - x₁

m = -4 + 5 / -4 + 6

m = 1 / 2

Therefore, lets find the y-intercept using (-4, -4)

-4 = 1 / 2 (-4) + b

-4 = -2 + b

b = -4 + 2

b = -2

Therefore, y = 1 / 2x - 2

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The slope-intercept form of the equation that passes through (-6, -5) and (-4, -4) will be; y = 1 / 2x - 2

The equation in slope intercept form can be represented as :

y = MX + b

where m is the slope, b is the y-intercept

Therefore, to determine the slope of the lines using (-6, -5) and (-4, -4).

m = y₂ - y₁ / x₂ - x₁

m = -4 + 5 / -4 + 6

m = 1 / 2

Therefore, the y-intercept using (-4, -4)

-4 = 1 / 2 (-4) + b

-4 = -2 + b

b = -4 + 2

b = -2

Thus, y = 1 / 2x - 2

The slope-intercept form of the equation that passes through (-6, -5) and (-4, -4) will be; y = 1 / 2x - 2

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Applying the trapezoid midsegment theorem, the diameter of the bottom layer of the cake = KS = 26 inches.

The diameter of any circular shape is the length of the line segment that divides the shape into two equal halves and runs through its center.

The trapezoid midsegment theorem states that the length of the midsegment of a trapezoid that is parallel to its bases is equal to half of the sum of the bases.

Using the trapezoid midsegment theorem we have:

MQ = 1/2(NP + LR)

Substitute

MQ = 1/2(8 + 20)

MQ = 1/2(28)

MQ = 14 inches

Also, we would also have:

LR = 1/2(MQ + KS) [trapezoid midsegment theorem]

Substitute

20 = 1/2(14 + KS)

40 = 14 + KS

40 - 14 = KS

26 = KS

KS = 26

The diameter = KS = 26 inches.

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The diameter(KS) of the cake's bottom layer is calculated using the trapezoid midsegment theorem is 26 inches.

The diameter of a circle is equal to the length of the line segment running through its center and dividing it into two equal halves.

According to the trapezoid midsegment theorem the length of a trapezoid's midsegment that is parallel to its bases is equal to half of the sum of the bases.

MQ = 1/2(NP + LR)

MQ = 1/2(8 + 20)

MQ = 1/2(28)

MQ = 14 inches.

And,

LR = 1/2(MQ + KS).

20 = 1/2(14 + KS)

40 = 14 + KS

40 - 14 = KS

26 = KS

KS = 26

The diameter(KS) is 26 inches.

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Answer:

The missing angle in Triangle A is 66 degrees

The missing angle in Triangle B is 34 degrees

Because Triangle A has measures of 34 degrees, 80 degrees, and 66 degrees

and

Triangle B has measures of 80 degrees, 66 degrees, and 34 degrees, we can conclude that THEY ARE SIMILAR TRIANGLES

Explanation:

The sum of angles in a triangle is 180 degrees.

Given that triangle A has m<1 = 34 degrees, m<2 = 80 degrees. Let the missing angle be x, then

x + 34 + 80 = 180

x + 114 = 180

Subtract 114 from both sides

x = 180 - 114

= 66 degrees

Triangle B has m<1 = 80 degrees, m<2 = 66 degreess. Let the missing angle be y, then

y + 80 + 66 = 180

y + 146 = `180

Subtract 146 from both sides

y = 180 - 146

= 34 degrees

Triangles A and B are similar, since they have similar measure of angles.

Answer: -1 17/20

Step-by-step explanation: use order of operations to solve, parenthesis, multiplication, addition/subtraction

Using division, we know that the number of cars needed by 3,376 tourists is 422.

So, the total number of groups of tourists = 3376

To find the number of cars needed. Hence,

Therefore, using division we know that the number of cars needed by 3,376 tourists is 422.

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Solution

We have the following info:

Grades Credits

B 2

B 5

B 5

C 2

And we know that A= 4, B= 3, C=2

So we can do this:

then the weighted average is 2.86

Answer:

A

Step-by-step explanation:

The slope goes up by 11 and over by 1.

Answer: D

Step-by-step explanation:

y= [tex]\frac{1}{55}[/tex]×

The perimeter of the triangle ABC is 36 cm. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees. If two triangles are similar, then the ratio of the corresponding sides will remain one.

Triangle ABC is congruent to triangle XYZ. In AABC, AB = 12 cm and AC = 14 cm. In AXYZ, YZ = 10 cm and XZ = 14 cm.

AB = XY = 12 cm

BC = YZ = 10 cm

AC = XZ = 14 cm

Then the perimeter of the triangle ABC is given as,

P = 12 + 10 + 14

P = 36 cm

The perimeter of the triangle ABC is 36 cm. Then the correct option is A.

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Answer: Inequality Form: x ≥ 4

lll. 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Your answer is x ≥ 4

Step-by-step explanation:

a) Simplify both sides of the inequality.

9 ≤ 4x − 7

b) Flip the equation.

4x − 7 ≥ 9

c) Add 7 to both sides.

4x − 7 + 7 ≥ 9 + 7

4x ≥ 16

d) Divide both sides by 4.

4x/4 ≥ 14/4

x ≥ 4