The second term of an arithmetic sequence is –5, and the third term is –20. What is the first term?

Answers

Answer 1

Answer:

a₁ = 10

Step-by-step explanation:

The common difference d is calculated as

d = a₃ - a₂ = - 20 - (- 5) = - 20 + 5 = - 15

Then

a₂ - a₁ = d , that is

- 5 - a₁ = - 15 ( add 5 to both sides )

- a₁ = - 10 ( multiply both sides by - 1 )

a₁ = 10


Related Questions

solve for x. -2(-4+3)-8=2(2+x)

Answers

Answer:

x = − 5

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

-2(-4+3)-8=2(2+x)

8-6-8=4+2x

2x=8-6-8-4

2x=-10

x=5

haha 6 days of history, 3 weeks of math, and 1 week of english all to do tn. It's currently 9:27. oh well who cares aha kinda funny tho

Answers

Answer:

Good Luck - You can do it!!!!!!!

Step-by-step explanation:

I once had 3 months of math to do in one night, but I was able to complete it through online videos. Never Give Up!

Answer:

Sorry about that

Step-by-step explanation:

I hope you finished it all

Can you help me please?​

Answers

Answer:

B

Step-by-step explanation:

The Pythagoras theorem states that [tex]c^{2} = a^{2} + b^{2[/tex], where [tex]c[/tex] is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made [tex]a[/tex] the subject of the expression, the expression will be re-written as [tex]a^{2} = c^{2} - b^{2}[/tex], which is the correct answer.

What is the mean absolute deviation (MAD) of the data set?

2, 6, 8, 12, 12

Enter your answer as a decimal in the box.

Answers

Answer:

2+6+8+12+12=40

40 divided by 5=8

6+2+0+4+4=16

16 divided by 5=3.2

MAD=3.2

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

I took the test

182 divided by 7 step-by-step

Answers

Answer:

26 is the quotient

Step-by-step explanation:

7 * 26 = 182

im not good at explaining but that's the answer

write the equation of the line that passes through the given point and has the given slope write all final answers in slope intercept form (3,-8); slope = -3​

Answers

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-8 = -3×3 + b = -9 + b

1 = b

so, the full line equation is

y = -3x + 1

Both A and R are true, R is the correct explanation for A

Both A and R are true, R is not the correct explanation for A

A is true, R is false

A is false, R is true

Answers

I would say it's "A is false, R is true"

Look at it this way, (R is talking): A is false, this is obviously true.

It wouldn't really work the other way.

Put the following decimals in order from
least to greatest
{0.067, 0.06, 0.007, 0.09, 0.0076)

Answers

It’s not true even tho u think it’s true but it’s not

[tex]\sf 2x+21=3[/tex]




Free

Answers

[tex] \sf \longmapsto \: 2x + 21 = 3[/tex]

[tex]\sf \longmapsto2x = 3 - 21[/tex]

[tex]\sf \longmapsto2x = - 18[/tex]

[tex]\sf \longmapsto \: x = \frac{ - 18}{2} [/tex]

[tex]\sf \longmapsto x = - 9[/tex]

Answer:

[tex]\bf x=-9[/tex]

Step-by-step explanation:

[tex]\sf 2x+21=3[/tex]

Subtract 21 from both sides:-

[tex]\sf 2x+21-21=3-21[/tex]

Simplify

[tex]\sf 2x=-18[/tex]

Divide both sides by 2:-

[tex]\sf \cfrac{2x}{2}=\cfrac{-18}{2}[/tex]

[tex]\sf x=-9[/tex]

answer..............................

Answers

Answer:

yes

Step-by-step explanation:

The mean test scores with standard deviations of four English classes are given below. Class Mean Standard Deviation Mrs. Jones 89 1. 9 Mrs. Rijo 82 1. 4 Mr. Phan 73 3. 4 Mrs. Scott 90 6. 1 Which statement is most likely to be true? The scores of Mrs. Scott’s class are the closest to the class mean. The scores of Mr. Phan’s class are the closest to the class mean. The scores of Mrs. Jones’s class are the closest to the class mean. The scores of Mrs. Rijo’s class are the closest to the class mean.

Answers

Answer:

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

The scores from Mrs. Rijo’s class are the closest to the class mean.

1) 1/2 × 4 × 2/3
2) 6 × 2/3 × 1/4
3) 8 × 2/5 × 10/12
4) 5/6 × 2/5 × 10
5) 1/9 × 3/4 × 1 ​

Answers

Answer:

1/2 times 4 4/2 2*2/3 4/3

Pls help this is due today and i have no idea

Answers

Answer:

x=38°

Step-by-step explanation:

sinx/21 =sin(38°)/21

sinx=21Sin(38°)/21

x = arcsin(21Sin(38°)/21)

x=38°

What is the equation of the line that passes through the point (-2,-2) and has a slope of 4?

Answers

Answer:

y=4x+6

Step-by-step explanation:

after working out for 45 minutes, Juanita heartbeat at 75 beats in 30 seconds what equation represent the relatship of b and m

Answers

Answer:

abcdefghijklmnopqrstuvwxyz

pls help asap! i will mark brainliest!

Answers

Answer:

19 or 17

Step-by-step explanation:

Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC
Pleas be sure to answer BOTH PARTS ... thank you!

Answers

Answer:

p = 32.317

A = 47.911

Step-by-step explanation:

given ∠A = 60

∠C = 45

AB = 9

From sum of all angles in triangle is 180

∠A + ∠B + ∠C = 180

60 + ∠B + 45 = 180

∠B = 180 - 105 = 75

∠B = 75

from sine rule in ΔABC

AB / sin C = BC / sin A

=> 9 / sin 45 = BC / sin 60

=> 9 / 1/[tex]\sqrt{2}[/tex] = BC / [tex]\sqrt{3} / 2[/tex]

=> [tex]9\sqrt{2} = BC * 2 / \sqrt{3}[/tex]

BC = [tex]9\sqrt{2} * \sqrt{3} / 2\\[/tex]

BC = 11.023

length of AC is

AC / sin B = AB / sin C

AC / sin 75 = 9 / sin 45

AC = 9 / 1/[tex]\sqrt{2} * sin 75[/tex]

= [tex]9\sqrt{2} * sin 75\\12.294[/tex]

perimeter of ΔABC

AB + BC + CA

= 9 + 11.023 + 12.294

= 32.317

Area of ΔABC is

= 1/2 * AB * AC * sin A

= 1/2 * 9 * 12.294 * sin 60

= 1/2 * 9 * 12.294 * √3/2

= 47.911

Which pair of functions are inverses of each other?

Answers

Answer: c ic the answer

c is the answer

Step-by-step explanation:

c is the answer

Solve 2x + 3(x+ 10) = 60.
O A. x = 6
O B. x = 5
O C. x= 3
O D. x = 7

Answers

Answer:

A. x = 6

Step-by-step explanation:

2x+3(x+10)=60

Use the distributive property to multiply 3 by x+10.

2x+3x+30=60

Combine 2x and 3x to get 5x.

5x+30=60

Subtract 30 from both sides.

5x=60−30

Subtract 30 from 60 to get 30.

5x=30

Divide both sides by 5.

x=  

5

30

 

Divide 30 by 5 to get 6.

x=6

There are `15` pieces of fruit in a bowl, and `6` of them are apples.



What percent of the pieces of fruit in

Answers

Answer:

40% of the pieces of fruit in the Bowl are apples.

Step-by-step explanation:

Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.

⇒ Total number of pieces of fruit in a bowl = 15 pieces

and

Number of pieces of apple in a bowl = 6 pieces.

To find the percentage of the pieces of fruit in the Bowl are apples.

=

Therefore, 40% of the pieces of fruit in the Bowl are apples.

Answer:

percent of apples = 40%

percent that is not apple = 60%

Step-by-step explanation:

percent of apples = 6/15 × 100% = 40%

percent that is not apple = 9/15 × 100% = 60%

Write the equation of the line that passes through the given points (9,4) and (2,13)

Answers

Answer:

y = -9 / 7x + 109 / 7

Step-by-step explanation:

To find the equation of any line, you must find the slope and y-intercept (when writing in slope-intercept form). In this case, we can find both of these values by using the two coordinate pairs that are given:

Slope - the change in y over the change in x

9 / -7 = -9 / 7slope = -9 / 7y-intercept - when x = 0

Right now, since we have the slope, we know the equation will look like this: y = -9 / 7x + b, b is what we are trying to find, the y-intercept. To find b, we can substitute a given coordinate pair that we know will fit this line and then solve:

13 = -9 / 7 x 2 + b13 = -18 / 7 + b91 / 7 + 18 / 7 = b109 / 7 = b

After finding both the slope and y-intercept, we can now combine them together to form the equation of the line:

y = -9 / 7x + 109 / 7

Hope this helps!!

I will give BRAINLIEST plz help

Answers

Answer:

-0.37

-2.86

0.91

0.19

1.46

Step-by-step explanation:

Can someone please help solving for x

Answers

Answer:

x=6.7

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for x:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(31^\circ)=\frac{x}{13}[/tex]

[tex]13sin(31^\circ)=x[/tex]

[tex]x=13sin(31^\circ)[/tex]

[tex]x\approx6.7[/tex]

So, the opposite side is about 6.7 inches

PLEASE HELP ME, THIS IS THE LAST QUESTION AND IM DONE

Answers

Answer:

B) x=square root of 32

Step-by-step explanation:

B beacuse x is the square root of 32

I don’t understand this someone please help

Answers

Answer: table 1 is 35 and table 2 is 1.301

Step-by-step explanation:

4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour? ​

Answers

Answer:

61 miles in one hour

Step-by-step explanation:

366/6=

6*6=36

366/6=06

6*1=6

366/6=061 miles per hour

Answer: 61 mph

Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.

Select all the options that have the same value as 3 1/2% of 20

Answers

Answer:

0.7, 7/10

Step-by-step explanation:

3.5% of 20 would be 3.5/100x20 = 3.5/5 = 0.7. Also, 0.7 = 7/10.

uppose a normal distribution has a mean of 16 and a standard deviation of 4. A value of 26 is how many standard deviations away from the mean

Answers

Answer:

2.5 s. d.

Step-by-step explanation:

Use the formula for calculating z scores:

      26 - 16

z = ------------- = 10/4 = 2.5

           4

Here the value 26 is 2.5 standard deviations above the mean (16).

Solve for j.

j − –95 = 822

j =

Answers

Answer:

j = 727

Step-by-step explanation:

j - (-95) = 822j + 95 = 822j = 822 - 95j = 727

Is the expression 32. 3-3 equivalent to 33.3-27 Explain.​

Answers

[tex]combine \: any \: like \: terms \: on \\ each \: side \: of \: the \: equation \: x - \\ terms \: with \: x - terms \: and \\ constant \: with \: constant.[/tex]

Hello there! :)

3-3 =0

33.3-27=6.3

So these two expressions are equivalent.

Expressions are equivalent (equal) when they equal the same number.

Example: 5*4 and 15+5 are equivalent.

Hope this helps!

Please mark brainliest!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex] here to help

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