Find the 75th term of the following arithmetic sequence.
14, 22, 30, 38,

Answers

Answer 1

Answer:

            a₇₅ = 606

Step-by-step explanation:

[tex]a_1=14\\a_2=22\\\\d=a_2-a_1=22-14=8\\\\a_n=a_1+d(n-1)\\\\a_{75}=14+8(75-1)=14+8\cdot74=14+592=606[/tex]


Related Questions

Which equation represent the line shown on the graph

Answers

yeah i think it B
sorry if i got it wrong:(


On one play, a football team gained 9 yards. On the next play, the football team received a penalty
of -10 yards.

Answers

Answer:

If your asking what the sum of the yards is it would be -1

Step-by-step explanation:

First I would make a number line from -10 to positive 10. Then from zero add nine. Then subtract 10 from 9. Since 10 is bigger than nine it would be a negative number. Hope this helped.

i also need help with this one too

Answers

Answer:

27°

Step-by-step explanation:

angle FDG is a alternate interior angle with angle BDG

Answer:

27

Step-by-step explanation:

the explanation is too long... just trust me its 27

(b) Factorise fully.
10x²+6x

Answers

Answer:

2x(5x + 3)

Step-by-step explanation:

Factor out common factors. Note that both terms have x inside it. Therefore, you will factor out one x from each term.

Note the factors of both 10 & 6:

10: 1 , 2 , 5, 10

6: 1 , 2 , 3, 6

Note that the greatest factor shared is 2. Divide 2 and x out from both terms:

(10x² + 6x)/2x = 5x + 3

2x(5x + 3) is your answer.

~

Carla traveled 320 miles in 5 hours. At this rate, how far will Carla travel in 7 hours?
Please show work with it

Answers

Answer:

448

Step-by-step explanation:

320/5 is 64 miles per hour

64*7 is 448

she will travel 448 miles in 7 hours

Carla traveled 320 miles in 5 hours. At this rate, Carla will travel 448 miles in 7 hours.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Carla traveled 320 miles in 5 hours. At this rate, then we need to find how far will Carla travel in 7 hours.

If 5 hours = 320 miles

then 7 hours = ?

7 hours will give more so if more less divide;

7hours ÷5hours × 320 miles

Then hours will cancel out,

= 7÷5×320 miles

= 448 miles

Therefore, Carla will travel 448 miles in 7 hours.

Learn more about the unitary method;

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Please help me. I will give 25 points..

Answers

Answer:

a. Given

b. Given

c. Linear Pair Postulate

d. Same side interior angle theorem

e. Converse of same side interior angle theorem

Step-by-step explanation:

Linear Pair Postulate – says that “If two angles form a linear pair, then those angles are also going to be supplementary.”

Same side interior angle theorem – says that “If two lines are parallel and same side interior angles are formed, then the angles will be supplementary to one another.”

Converse of same side interior angle theorem – says that “If same side interior angles are supplementary, then the lines that form them will be parallel to one another.”

kim namjoon...

anyone army??

Answers

Answer:

Er... um... huh?

Step-by-step explanation:

WHAT IS THIS A CULT OR SUMTHIN'

Answer choices:

(x + 0, y -12)

(x + 8, y - 6)

(x + 1, y - 13)

(x - 7, y - 3)

(x + 10, y + 0)

Answers

It’s is (x-7, y-3) hope this helps :)

susie purchased a dress on sale for $22.36. this is 85% of the original price. what was the original price?

Answers

Answer:

I would say probably 26.31 because 85% of 26.31 is 22.3635.

Hope this helps!

In an aquarium, 25 of the fish are surgeonfish. Of these, 34 are yellow tangs. In simplest form, what fraction of all fish in the aquarium are yellow tangs? In an aquarium, 25 of the fish are surgeonfish. Of these, 34 are yellow tangs. In simplest form, what fraction of all fish in the aquarium are yellow tangs?

Answers

This question was not written properly

Complete Question

In an aquarium, 2/5 of the fish are surgeonfish. Of these, 3/4 are yellow tangs. In simplest form, what fraction of all fish in the aquarium are yellow tangs?

Answer:

The fraction of all fish in the aquarium that are yellow tangs = 3/10.

Step-by-step explanation:

The fraction of all fish in the aquarium that are yellow tangs=

3/4 Of 2/5

= 3/4 × 2/5

= 6/20

In its simplest form = 3/10

Therefore, the fraction of all fish in the aquarium tha are yellow tangs = 3/10

Use a cofunction identity to rewrite cos(120° − (30° + a)).

Answers

Answer:

sina

Step-by-step explanation:

Using the cofunction identity

cos(90 - x) = sinx , then

cos(120 - (30 + a) )

= cos(120 - 30 - a)

= cos(90 - a)

= sina

An expression is defined as a set of numbers, variables, and mathematical operations. Using a cosine function identity cos(120° − (30° + a)) can be written as sin a.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given cosine expression can be rewritten as,

cos(120° − (30° + a))

Opening the bracket, to simplify the angle,

= cos(120° − 30° − a)

= cos(90° − a)

Since the cosine and sine angles are complementary to each other, therefore, cos(90° − x) = sin(x), thus, we can write the expression as,

= sin a

Learn more about Expression:

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in the science club there are 2 sixth graders for every 3 seventh graders.

Answers

Answer:

Okay...

Step-by-step explanation:

Just divide as a fraction for if you finish the question.

Well what’s the question

If the perimeter of this quadrilateral is 79 inches, what is the measure of the missing side length in inches?

Answers

Answer:

79 = 13+15+24+ missing side. 79 = 52 + missing side

Answer:

the answer would be 49 on the other side

thoughts on Larray's new song? anyone??

Answers

Answer:

Step-by-step explanation:

EST SONG EVER ITS ALMOST AT 40 MIL VEIWS SO COOL

I WILL GIVE YOU BRAINLIEST

Answers

Answer:

3 million or 3 x 10^6

Step-by-step explanation:

You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6

PLZ HELP ME I will give u 10 points PLZZ HELP ME

Answers

Answer:

1000

7/100

Step-by-step explanation:

10×10×10is 100


In Joel's town, about 33 out of 100 cats are black. If Joel walks by 21 cats in 1 week, predict how many of those cats are black?

Answers

Answer:

7 cats are black

Step-by-step explanation:

Since 33 out of 100 cats are black then that means that 33% of the cats are black.

Since he walked by 21 cats 33% of them are most likely black.

So you do .33 x 21= 6.93 which can be rounded up to 7 cats

Estimate √125 to the nearest integer.

Answers

Given:

The number is [tex]\sqrt{125}[/tex].

To find:

The estimate value of given number.

Solution:

We have,

[tex]\sqrt{125}=\sqrt{5\times 5\times 5}[/tex]

It can be written as

[tex]\sqrt{125}=5\sqrt{5}[/tex]

We know that, [tex]\sqrt{5}\approx 2.236[/tex]. So,

[tex]\sqrt{125}=5(2.236)[/tex]

[tex]\sqrt{125}=11.18[/tex]

Approx the value to the nearest integer.

[tex]\sqrt{125}\approx 11[/tex]

Therefore, the required integer is 11.

Which one is false? :D

Answers

The answer should be D or A

I need help ASAP pls

Answers

Answer:

b. 70+90=160

180-160=20°

a. 180-(20+90)

180-110=70

how do i write this equation in function notation.

=−2/5+1

Answers

Answer:

f(x) = −2/5x + 1

Step-by-step explanation:

when putting an equation in function notation first you must make sure the equation is in slope-intercept form and then you must rewrite the equation but instead of putting y you will replace it with f(x), or g(x), whichever one you are given directions to put it as.

Hope This Helps!

Plz Mark Brainliest!

Can someone help me please, thanks.

Answers

no it won’t work sorry for the concierge room

Vision Source has a pair of glasses that are 20% more than the same pair of glasses at ABC Eye. If the glasses are $85 at ABC Eye, then how much more will you pay at Vision Source?

Answers

Answer:

the answer is $102

Step-by-step explanation:

because %20 is equal to $17

Cheyenne collects movies. She has 435 movies that are either comedy, scary, or sci-fi. She has the same number of videos for each genre. How many movies does she have in each genre. Draw a model and write an equation that represent the problem. Solve.

Answers

145 movies of each genre.

435/3= 145

Solve the system.

X+y=8
2x^2 - y= -5

Answers

Answer:

third option

Step-by-step explanation:

[tex]( x + y = 8 ) + ( 2x^{2} - y = -5 )\\\\(x + y + 2x^{2} - y ) = 8 + (-5)\\2x^{2} + x = 3[/tex]

Pls help..............

Answers

F(-2) = -15
F(-6)= 49

Solve the following equation algebraically. Show your work.
17 = -13 – 82
Will mark brainliest

Answers

Hope the answer I gave you helps!!!
:)

2. The maroon team and the orange team played a
game of football. The maroon team scored 30
points and the orange team scored 9 points. What is
the ratio of points scored by the maroon team to
points scored by the orange team?

Answers

Answer:

30:9

Step-by-step explanation:

The maroon team scored 30 points

The orange team scored 9 points

30:9

What is the value of the expression All of 3.6 multiplied by 10 to the power 8 over all of 1.2 multiplied by 10 to the power 3?

Answers

Answer:

aswer is something

Step-by-step explanation:

Answer: Ur mom

Step-by-step explanation:

the bottom of a ladder must be placed 10 feet from a building. The ladder is 26 feet. How far above the ground does the ladder touch the wall?

Answers

Answer:

The ladder touches the wall at 24 feet from the ground.

Step-by-step explanation:

The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.

In any right triangle, we can apply Pythagora's theorem to find any missing side length.

The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:

[tex]26^2=10^2+H^2[/tex]

Calculating:

[tex]676=100+H^2[/tex]

Solving:

[tex]H^2=676-100[/tex]

[tex]H^2=576[/tex]

[tex]H=\sqrt{576}[/tex]

H=24 feet

The ladder touches the wall at 24 feet from the ground.

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