What is the sum of the series?
10
Σ(7k– 2)
k=1

Answer:

1500 ft

Step-by-step explanation:

1 yd=3 ft

500 yd*3 ft/yd=1500 ft

Answer:

1500 ft

Step-by-step explanation:

Multiply 500 yds by the conversion factor derived from 1 yd = 3 ft:

500 yd      3 ft

----------- * ----------- = 1500 ft

     1           1 yd

Answer:

B. 10

Step-by-step explanation:

The median is the middle number, so to find it, we must list the numbers from smallest to largest :

5, 5, 8, 11, 15, 21, 27, 34, 55

The median is 15

The mode is what number occurs most often, which is 5.

The difference will be found by subtracting 5 from 15:

15-5=10

Answer:

10

Step-by-step explanation: you have to find the median number and subtract by 5

5,5,8,11,15,21,27,5

also the median is middle number subtract by 5 because it want the difference number of electoral votes per state

15-5=10

Answer:

[tex]a_{1}=6[/tex]

Step-by-step explanation:

It is sum of arithmetic progression

[tex]$S_{20}=\frac{20}{2} [2a_{1}+(20-1)\cdot 4]$[/tex]

[tex]$880=10[2a_{1}+(19)\cdot 4]$[/tex]

[tex]$880=10[2a_{1}+76]$[/tex]

[tex]880=20a_{1}+760[/tex]

[tex]120=20a_{1}[/tex]

[tex]a_{1}=6[/tex]

Answer:

-2019

Step-by-step explanation:

Well you can calculate it.

2018 * 2020 + 1 = 4076361

Square root is 2019.

Since x is negative, the answer is -2019

An equation is a mathematical assertion that is made up of expressions connected by an equal signal. as an instance, 3x – five = sixteen is an equation. solving this equation, we get the fee of the variable x as x = 7.

A variable is used to symbolize something unknown. for instance x, y, z. An expression no longer has an identical signal. as an instance 4 + 10. An equation is made up of 2 expressions and has an identical signal.

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Answer:

51

Step-by-step explanation:

by linear pair

(2x+4)+(x+23)=180

2x+4+x+23=180

3×+27=180

3x=180-27

x=153/3

×=51

Answer:

Step-by-step explanation:

2x + 4 + x + 23 = 180     {linear pair of angles}

3x + 27 = 180

3x = 180 - 27

3x = 153

x = 153/3

x = 51°

b*h/3 is the formula to find the volume (or area whichever it is) of a pyramid  so it will be 16 times 30 divided by 3 which would get u to 480/3 which would then get u to 160 cm

Answer:

3

Step-by-step explanation:

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Interior Angles: 2 and 3

Answer:

-The distance:

[tex]d = 1[/tex]

Step-by-step explanation:

-To find the distance between points [tex](-8,-2)[/tex] and [tex](-7,-2)[/tex], you the distance formula:

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

-Use the two given points [tex](-8,-2)[/tex] and [tex](-7,-2)[/tex] for the distance formula:

[tex]d = \sqrt{(-7 + 8)^{2} + (-2 + 2)^{2}}[/tex]

-Then, solve the formula:

[tex]d = \sqrt{(-7 + 8)^{2} + (-2 + 2)^{2}}[/tex]

[tex]d = \sqrt{(1)^{2} + (0)^{2}}[/tex]

[tex]d = \sqrt{1 + 0}[/tex]

[tex]d = \sqrt{1}[/tex]

[tex]d = 1[/tex]

So, the answer for the distance would be [tex]d = 1[/tex] .

Answer:

10( 3/4x  * 9/500y ) = 10  

Step-by-step explanation:

We know 18% can also be found

when we take the x amount 75 x 0.18 = 13.50

We thereafter find 75-13.50 = 61.50 for Janella's hair cost plus $13.50 tip.

But for x = 750 x 9/500 = 10

We find  13.50 = 10

x= 1.5

18% coincidentally is 13.5 and 13.5 x 1.5 = 18

So we could redesign and use 18 in the equation

An equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.

Given that, Janella has her hair styled and wants to tip her stylist 18%.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the tip be y and total bill be y.

So, tip y = 18% of total bill x

⇒ y = 18% of x

⇒ y = 18/100 × x

⇒ y = 0.18x

Therefore, an equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.

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Answer:

D. 125

Step-by-step explanation:

Given

[tex](\frac{1}{5})^{-3}[/tex]

Required

Find Equivalent

From law of indices

[tex](\frac{1}{a})^{-x} = \frac{1}{(\frac{1}{a})^{x}}[/tex]

So,

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{5})^{3}}[/tex]

Expand denominator

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{5})*(\frac{1}{5})*(\frac{1}{5})}}[/tex]

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{125})}}[/tex]

Split expression on the right and side

[tex](\frac{1}{5})^{-3} = 1/{(\frac{1}{125})}}[/tex]

Convert divide (/) to multiplication (*)

[tex](\frac{1}{5})^{-3} = 1*{(\frac{125}{1})}}[/tex]

[tex](\frac{1}{5})^{-3} = 1*125[/tex]

[tex](\frac{1}{5})^{-3} = 125[/tex]

Hence, [tex](\frac{1}{5})^{-3}[/tex] is equivalent to 125

Answer:

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

4 (x − 1) − 4 (x + 2.5) = x − 6

Distribute

4x -4 -4x -10 = x-6

Combine like terms

-14 = x-6

Add 6 to each side

-14+6 = x-6+6

-8 =x

Answer:

-8 =x

Step-by-step explanation:

4 (x − 1) − 4 (x + 2.5) = x − 6

4x -4 -4x -10 = x-6  (Distribute )

-14 = x-6  (Combine like terms )

-14+6 = x-6+6 (Add 6 to each side)

-8 =x

I hope this helps!

Answer:

B

Step-by-step explanation:

40/100=4/10

Answer:

20

Step-by-step explanation:

If lines m and n are parallel, then the labelled angles would be considered alternate exterior angles. By definition, such angles are of the same value.

Thus, we set the two expressions of 4x - 23 and 2x + 17 equal:

4x - 23 = 2x + 17

Subtract 2x from both sides and add 23 to both sides:

2x = 23 + 17 = 40

Divide by 2:

x = 40/2 = 20

The answer is thus 20.

~ an aesthetics lover

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Alternate exterior angles are a pair of equal angles on opposite sides of the transversal.

[tex]4x-23=2x+17[/tex]

[tex]4x-23+23=2x+17+23[/tex]

[tex]4x=2x+40[/tex]

[tex]4x-2x=2x+40-2x[/tex]

[tex]2x=40[/tex]

[tex]\frac{2x}{2}=\frac{40}{2}[/tex]

[tex]x=20[/tex]

Answer:

4/7

Step-by-step explanation:

4/7 is squared and then square rooted, changing nothing.

Answer:

>

Step-by-step explanation:

Put the fractions in decimal

0.25 is greater than 0.167. Therefore, 2/8 is greater than 1/6

You can also use common denominators

Short answer yes its true

Answer:

A

Step-by-step explanation:

Since the shape of both graphs is the parent parabola form, and g(x) is just shifted up 2 instead of 5, its equation is [tex]2-x^2[/tex], or answer choice A. Hope this helps!

Answer: -920

Step-by-step explanation:

-447 - 473 = -920

In this case, smaller means more negative

Answer:

-920

Explanation:

To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:

-447 - 473

- (447 + 473)

-920

Therefore, the new dot was on -920.

Answer:

2.

5 x 5 = 25

4 x 4 = 16

25 + 16 = 41

You need to square root but it is already included

Hope this helps

Step-by-step explanation:

Answer:

132 degrees is the measure of angle ABC.

Step-by-step explanation:

ABD = 180 because it is a straight line.

BCD = 48

ABD - BCD = 180 - 48

180 - 48 = 132

Answer:

ABC =132

Step-by-step explanation:

The two angles form a straight line so they add to 180

ABC + 48 = 180

Subtract 48 from each side

ABC +48-48 = 180-48

ABC =132

Answer:

Look at the attachment

Answer:

5%

Step-by-step explanation:

To find this percent, first divide 1 by 20.

1/20 = 0.05

Now, convert this decimal to a fraction by moving the decimal point 2 places to the right.

0.05 = 5%

Hope this helps! Feel free to ask me any questions :)

Answer:

5%

Step-by-step explanation:

1/20 = 5/100

5/100 equals 5%

Answer:

451cm cubed

Step-by-step explanation:

The volume of any prism = Area of cross section times height.

So, we substitute area of Cross section with 41 cm squared and height with 11.

41 x 11 = 451

Answer:

B. y=(2x-3)/(x-4)

Step-by-step explanation:

Find the asymptotes.

Vertical Asymptotes:  

x  =  4

Horizontal Asymptotes:  

y  =  2

No Oblique Asymptotes.

The graph.

Answer:

Equation:

21 = 1 + m

Solution:

20 = m

Step-by-step explanation:

What we know:

We know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:

21 =

What does 21 equal?

The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.

21 = milk at breakfast + milk after breakfast

Let's substitute what we know into this equation:

21 = milk at breakfast + milk after breakfast

21 = 1 + m

Now that we have our equation, let's solve.

21 = 1 + m

-1    -1

20 = m

Therefore, Karim drank 20 cups of milk after breakfast.

Two thirds divided by one sixth is 4

Answer:

It is number four

Step-by-step explanation:

Answer:

They are not similar

Step-by-step explanation:

Whenever two shapes are similar, they must have corresponding equal measure angles. Since two of the angles in these triangles are slightly different, they cannot be similar since the side lengths will now have unequal proportions. Hope this helps!

Answer: 195

Step-by-step explanation: 5*13*6=390

390/2=195

Answer:

195

Step-by-step explanation: