Find the 25th term of the sequence -7,-22,-37.

Answers

Answer 1

Answer:

a₂₅ = - 367

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 22 - (- 7) = - 37 - (- 22) = - 15

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 7 and d = - 15 , then

a₂₅ = - 7 + (24 × - 15) = - 7 - 360 = - 367


Related Questions

I am timed. Please answer this.

Answers

Answer:

9

Step-by-step explanation:

because volume of a prism is area × length

so area of triangle is 4*4/2=8 so 72÷8=9.

hope this helps:)

QUESTION 2
Simplify the following
a5×a7​

Answers

Answer:

[tex]a^{12}[/tex]

Step-by-step explanation:

Identity Used :   [tex]a^x \times a^y = a^{x+ y}[/tex]

   

       [tex]a^5 \times a^7 = a^{5 + 7} = a^{12}[/tex]

Suppose the population of a small town is 567 in 2011. The population DECREASES at a
rate of 5% every year. What will be the population of the town in 2021? Round your answer
to the nearest whole number.

Answers

Answer:

2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer

Answer:

339

Step-by-step explanation:

a = 567 (.95)¹⁰

a = 339.4838445482

Rounded

339

What is the value of the expression 3^2 . (2^3 +4) _____________ 2^2

Answers

Answer:

The answer is [tex]3^3\times 2^2[/tex].

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]

work out 2/7 divided 7/8

Answers

Answer:

16/49

Step-by-step explanation:

2/ 7÷ 7/8

Copy dot flip

2/7 * 8/7

Multiply the numerators

2*8 =16

Multiply the denominators

7*7 = 49

numerator over denominator

16/49

Answer:

[tex]\frac{16}{49}[/tex]

Step-by-step explanation:

the value of each square root

Answers

Answer:

root 324=18

root 441=21

root 529=23

Step-by-step explanation:

root 324 = 18

root 441 = 21

root 524 = 23

NEED HELP ASAP !!!! SOMEONE HELP ME

Answers

Answer:

A

Step-by-step explanation:

cos(71)x19=6.1

6.1 =6

Answer:

ladder is 20 feet long.So answer is option c.

Step-by-step explanation:

let the length of a ladder be x

take 71 degree as reference angle

using sin rule

sin 71 =opposite/hypotenuse

0.94=19/x

x=19/0.94

x=20.21

x=20 feet

Evaluate the expression below when x = 7 and y = 8.
5x2−3y

Answers

Answer:

221

Step-by-step explanation:

Substitute x = 7 and y = 8 into the expression

5(7)² - 3(8)

= 5(49) - 24

= 245 - 24

= 221

Factor the common factor out of each expression: 30+6k+18k^5

Answers

Dhfjjrdjxbcu sixhxbeishfnd sixhcucfudd isuxcyudkendf sodhxcufbrbd

Evaluate the following expression at x = -4
-5x-1

Answers

all u have to do is 20-1=19
Answer: 19

Substitute X in the expression :
-5(-4) - 1
-5 • -4 = 20
20 - 1 = 19

Find the equation with a line with slope 7
_
2 passing through the point (-2,9).

Answers

Answer:

y = 7/2 x+16

Step-by-step explanation:

The equation for a line is y = mx+b where m is the slope and b is the y intercept

y = 7/2 x+b

Substitute the point into the equation

9 = 7/2(-2)+b

9 = -7+b

9+7 = b

16 = b

y = 7/2 x+16

Simplify each of the following by rationalizing the denominator.
please do answer my doubt

Answers

Answer:

(47+21√5)/2

Step-by-step explanation:

Given the expression

7+3√5/7-3√5

= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)

= 49+21√5+21√5+9(5)/[7(7)-9(5)]

= 49+42√5+45/49-45

= 94+42√5/4

= 2(47+21√5)/4

=(47+21√5)/2

Hence the required expression is (47+21√5)/2

Please help quadratic equation!! 20 points

Answers

Answer:

x=4,−2

Step-by-step explanation:

Because Step 1. Move all terms to one side.

{x}^{2}-2x-8=0

x

2

−2x−8=0

2 Factor {x}^{2}-2x-8x

2

−2x−8.

1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?

-4−4 and 22

Step 2. Rewrite the expression using the above.

(x-4)(x+2)

(x−4)(x+2)

and going to;

(x-4)(x+2)=0

(x−4)(x+2)=0

And Step 3. Solve for xx.

1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?

When x-4=0x−4=0 or x+2=0x+2=0

2 Solve each of the 2 equations above.

x=4,-2

x=4,−2

x=4,-2

Our Answer is:

x=4,−2

I Hope It's Helps

Answer:

2 and -4

tso numbers when added gives -2 and 8 incase it's not clear enough.

Select the correct answer.

What is in simplest form?

A. 8√4

B. 17√2

C. 4√ 17

D. 2√17

Answers

The simplest form in this situation should be A

A school has 833 students. Of those students, 463 play a sport (A), 52 are in the band (B), and 21 do both(AB). (C) represents neither.

Answers

Answer:

Im sorry but it is kind of confusing

Step-by-step explanation:

A car was bought for D750,000 and was sold for D775,000 calculate the percentage profit ​

Answers

10% hope this helped

its urgent please help ASAP ty!!

Answers

Answer:

the answer choices oh uhm I think i

it’s 18:00 because she was out for 30 mins

Which of the following correctly maps figure ABCD onto figure EFGH? Select two that apply.

Answers

Answer:

Option A

Step-by-step explanation:

From the graph attached,

Distance of point A of rectangle ABCD = 5 units

Distance of point E of rectangle EFGH = 5 units

Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.

Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.

Let's check by the rule of reflection,

Rule for the reflection of a point (x, y) across y-axis is given by,

(x, y) → (-x, y)

Following this rule,

A(-5, 5) → E(5, 5)

B(-3, 4) → F(3, 4)

C(-4, 1) → G(4, 1)

D(-6, 2) → H(6, 2)

Therefore, rule for the reflection is applicable in this question.

Option A will be the answer.

please answer quickly easy 10 points but please answer quick

Answers

Answer:

He traveled 520 miles

Step-by-step explanation:

8 x 65 = 520

Answer: 520 miles

Step-by-step explanation:

Data: Juan drove 8 hours

Drove at an average Speed of 65 mph

Miles driven=x

Only step: Multiply 65 by 8 which is 520

Explanation: Since Juan drove at an average speed of 65 miles per hour, that means he drove 65 mile for every hour he drove. So since he drove for 8 hours, you multiply 8 hours by 65 miles so that you get get the total amount of hours driven by him.

Don't forget to add "Miles" to the end of your answer because most math teachers tend to want that in an answer like this.

I hope this helps(Mark brainiest if you want to, thanks)

Identify the missing parts in the proof.

Given: ∠ABC is a right angle.

DB bisects ∠ABC.

Prove: m∠CBD = 45°

A:

B:

C:

D:

Answers

Answer:

The missing parts of the proof includes;

1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)

2) m∠CBD = m∠ABD (Definition of angle bisector)

3) m∠CBD + m∠ABD  = m∠CBD + m∠CBD (Substitution property of equality)

Step-by-step explanation:

The given details of the proof are;

∠ABC is a right angle = 90°

Line DB is a bisector of ∠ABC

Therefore;

1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate

By the definition of angle bisector, we have;

The angles formed by line DB from ∠ABC are equal,

2) m∠CBD = m∠ABD by the definition of angle bisector

3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality

2 × m∠CBD = 90°

∴ m∠CBD = 90°/2 = 45°

Answer:

A: Given

B: measure the angle ABC = 90

C: angle addition postulate

D: 2 times the measure of angle CBD = 90

Step-by-step explanation:

Hope this helps <3

Help!’!!!!!!!!! And thanksss

Answers

hi! so in order to do this problem, you need to figure out what percent 76 is of 80. you can do this by dividing 76 by 80! so just do 76/80, and convert to a percent!

David participating in a 6-day cross-country biking challenge. He biked for 65, 56, 57, 58 , and 67 miles on the first five days. How many miles does he need to bike the last day so that his average (miles) per day ?

Answers

Answer:

Hi

Step-by-step explanation:

Please like I am noob I neeed brainliest

Could someone please help me with this?

Answers

Answer:

Equal

Equal

Equal

Supplementary

Step-by-step explanation:

Just learn the angles tbh, you will need them in the future

What’s 1/2 + 1/3? Y’all please help me . And when or if you can give me the answer can you do step-by-step on how you did that so I can do it myself next time?

Answers

Hi! 1/2 + 1/3 is 5/6.

2 + 3 = 5
2 X 3 = 6

= 5/6

I hope this helped if I can help in anyway I would be happy to help you. Goodluck :)

[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{1}{2} + \frac{1}{3} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 2 and 3 is 6.

Now, multiply the L.C.M. with both numerator & denominator.

[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]

[tex]= \frac{3}{6} + \frac{2}{6} [/tex]

Now that the denominators are equal, we can add them.

[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

the volume of a cuboid is 480cm cube,it's breadth and height are 8cm are 6cm respectively find its length​

Answers

Considering the volume of a cube is length × breath × height, we are going to have to use an equation to find the length.

V = l × b × h

480cm³ = L × 8 × 6

Make L the subject.

480 = L × 8 × 6
⁴⁸⁰/₈×₆ = L
10cm = L

Therefore length = 10cm

Solve the equation for x.

Answers

Answer:

x = 7

Step-by-step explanation:

2x + 34 = 4x + 20

2x = 14

x = 7

Someone please help me ASAP!

Answers

Answer:

x + 1 y+1

Step-by-step explanation:

it translated 1 unit up the x axis and 1 unit y axis

Answer:

reflected across the y-axis and translated 1 to the right and 1 up

Step-by-step explanation:

If 3x - 4y = 15 and -2x + 3y = 10, then x - y = ?

Answers

Answer:

x - y = 25

Step-by-step explanation:

3x - 4y = 15

-2x + 3y = 10

Add the two equations together

 3x - 4y = 15

-2x + 3y = 10

----------------------

x - y = 25

Answer:

[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]

>> 3x - 4y = 15

>> -2x + 3y = 10

Add the two equations together

>> 3x - 4y = 15

>> -2x + 3y = 10

----------------------

Hence, x - y = 25

The dolphin is 20 feet below the serface of the ocean.

Answers

Answer: we wont be able to answer if there is no fill out box

Step-by-step explanation:

Answer:

Can you complete the sentence?

If there are 10 marbles in a bag 1/5 of them are red and the others are blue. What is the ratio of red marbles to blue marbles ?

Answers

Answer:

4:1

Step-by-step explanation:

We know 1/5 of the marbles are red.

There are 10 marbles.

1/5 is also 2/10, so:

2 of the 10 marbles are red.

To find the blue marbles, lets subtract the red marbles from the total marbles:

10-2=8

So 8 of the marbles are blue.

This is a ratio of 8 blue to 2 red marbles.

Or

4 blue to 1 red marbles.

This can be shown as:

4 : 1

Hope this helps!

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