Write the 4th term of the sequence defined by the explicit rule, f(n) = 3n^2 + 7. (n^2 means n squared)

Answers

Answer 1

Answer:

55

Step-by-step explanation:

I'm assuming n is the term #..

[tex]f(4) = 3(4)^2+7[/tex]

f(4) = 3 * 16 + 7

f(4) = 48 + 7

f(4) = 55


Related Questions


(62-3) X (2 + 8) =
The 2 is little and a little over 6 so it’s not 62 it’s like 6 2

Answers

Answer:

330

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

Graph the inequality.
[tex]y \leqslant 2[/tex]

Answers

plot a shaded point (closed circle) on (0,2) then shade above the line. the line should be horizontal or parallel to the x axis

Is y=x+3.75 a proportional relationship? Yes or no

Answers

Answer:

NO

Step-by-step explanation:

if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.

Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.

That means that the relationship is NOT proportional.

The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.

Answer:

No

Step-by-step explanation:

because if we put x=1 in equation y=x+3.75y=(1)+3.75y/x=4.75if that is proportional then y/x will be same in each scenarioand if we put x=2 then y=(2)+3.75y=5.27y/x=2.875so it is not equal, it mean that relation is not proportional

Which equation represents f(x)? f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1

Answers

Answer:

A.

Step-by-step explanation:

The equation that represents function f(x) is (a) [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

The original function is given as:

[tex]y = \sqrt[3]{x}[/tex]

First, the function is translated 6 units left.

The rule of this translation is:

[tex](x,y) \to (x +6,y)[/tex]

So, we have:

[tex]y = \sqrt[3]{x + 6}[/tex]

Next, the function is translated 1 unit up.

The rule of this translation is:

[tex](x,y) \to (x,y+1)[/tex]

So, we have:

[tex]y = \sqrt[3]{x + 6} + 1[/tex]

Express y as a function of x

[tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

Hence, the equation that represents f(x) is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

Read more about translation at:

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Riley bought a plant and planted it in a pot near a window in her house. The
initial height of the plant was 6 inches and it grew at a rate of 2 inches per
month. Write an equation for H, in terms of t, representing the height, in
inches, of the plant t months after Riley bought the plant.

Answers

Answer:

6+2t=h

Step-by-step explanation:

Answer:

H = 6 + 2t

Step-by-step explanation:

H = your solution

6 = initial height of the plant

+ = the height of the plant grows each month

2 = the rate at which the plants grows per month

t = the number of recorded months the plant will grow for

Hope this Helps! :)

-SGO

After school one night, I had to stop at the local office supply store and pick up a few items. I bought 2 packages of page dividers. They each cost $3.79. I bought one package of Post-It Tabs that cost $6.79. Finally, I bought a large binder for $11.99. Sales tax was 7.5% and I paid with a 50 dollar bill. How much change did I receive?

Answers

Answer:

$21.66

Step-by-step explanation:

Add up all of the costs

3.79 + 3.79 + 6.79 + 11.99 = 26.36

Then multiply by the sales tax

26.36 x 7.5% = 1.98

Add the total cost and the tax

26.36 + 1.98 = 28.34

Subtract 28.34 from 50

50 - 28.34 = 21.66

That is how much change you recieve after your purchase.

What is the value of 10 - 2(
4-5)?

Answers

Answer:

12

Step-by-step explanation:

you would need to use BODMAS to work this out

as a result you would work out the value in the brackets which would equal to -1 so the question would look like this: 10-2(-1)

next you would do the multiplication due to the fact it comes next in the order

so you would end up with 10+2 which would equal to 12

Hope this helps

Answer:

12

Step-by-step explanation:

First we do 4-5 because of Order of Operations. So we get -1

Then we do multiplication because of Order of Operations and we get -2*-1=2

So now we do 10+2 and we get 12.

You may be asking why I did -2*-1.

It honestly doesn't matter.

Let's say I did 2*-1. We get -2.

Then we do 10-(-2) and If you subtract a negative, it's just adding basically. So we can put it as 10+2 and we get 12.

Need help with this. Plz! Thank you

Answers

yes yes yes yes yes yes yes yes

A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
А. 1/5
B. 1/6
C. 1/7
D. 1/8

Answers

Answer:

D

Step-by-step explanation:

1/8

Answer: D

Step-by-step explanation:

Please help me!!! Thank you so much

Answers

Step-by-step explanation:

[tex]\frac{(x + 2)}{4} = - 2 \\[/tex]

multiply everything by 4

[tex]x + 2= - 2 \times 4 \\ x + 2 = - 8[/tex]

subtract 2

[tex]x = - 8 - 2 \\ x = - 10[/tex]

the answer is -10

Clara estimates that the product of 32 and 41 is about 1,200.

Answers

Answer: True

Reason:
It’s asking for ESTIMATION and PRODUCT for 32 and 41. First, you have to round all numbers to friendly. 32 can turn into 30. 41 can turn into 40. Multiply then and it gives you 1,200!

Hope this helps you!

answer this qusten and ill mark u brainlyest 6+6 hhehehe

Answers

Answer:

6+6= 30 billion

Step-by-step explanation:

Answer:

6 + 6 = 66 or 12

Step-by-step explanation:

I'm not sure

Janice bought 5.5 m of fabric.

About how many yards of fabric did she buy?

(1 m ≈ 1.09 yd)

Enter your answer in the box. Do not round your answer.

Answers

5.995

Hope this helps!

8 less then a number n is -13

Answers

Answer:

equation: 8-n=13

answer: n = 21

Step-by-step explanation:

Find the quotient
6 1/2 divided by 3 2/3

Answers

Answer:

Step-by-step explanation:

Free points ig

The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.

Here, we have,

given that,

6 1/2 divided by 3 2/3

Given the following mathematical expression;

6 1/2 /  3 2/3

We would apply the law of indices for fractions.

6 1/2 /  3 2/3

= 13/2 / 11/3

=13*3/ 2*11

=39/22

=1 17/22

Hence, The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.

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A stadium has 55,000 seats. Seats sell for $42 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,738,800 from each sold-out event. How many seats does each section hold?

Answers

Answer:

Section A = 27,500 seats

Section B = 14,800 seats

Section C = 12,700 seats

Step-by-step explanation:

Section A = $42

Section B = $24

Section C = $18

Revenue = $1,738,800

Total number of seats = 55,000

The number of seats in Section A equals the total number of seats in Sections B and C

A = B + C

A + B + C = 55,000

42A + 24B + 18C = $1,738,800

Substitute A = B + C into the equations

B + C + B + C = 55,000

42(B + C) + 24B + 18C = $1,738,800

2B + 2C = 55,000

42B + 42C + 24B + 18C = 1,738,800

2B + 2C = 55,000

66B + 60C = 1,738,800

Multiply (1) by 30

60B + 60C = 1,650,000. (1)

66B + 60C = 1,738,800. (2)

Subtract (1) from (2)

66B - 60B = 1,738,800 - 1,650,000

6B = 88,800

B = 88,800/6

= 14,800

B = 14,800

Substitute the value of B into

2B + 2C = 55,000

2(14,800) + 2C = 55,000

29,600 + 2C = 55,000

2C = 55,000 - 29,600

2C = 25,400

C = 25,400/2

= 12,700

C = 12,700

Substitute the values of B and 6 into

A + B + C = 55,000

A + 14,800 + 12,700 = 55,000

A + 27,500 = 55,000

A = 55,000 - 27,500

= 27,500

A = 27,500

Section A = 27,500 seats

Section B = 14,800 seats

Section C = 12,700 seats

Answer:

Section A has 27,500 seats

Section B has 14,800‬ seats

Section C has 12,700‬ seats

Step-by-step explanation:

To solve this, we will have equations:

let x = seats at section A

  y= seats at section B

 Z = seats at section C

we will get the following equation:

So from the question, x = y + z ..........(1)

                     x + y + z = 55,000 .........(2)

                  42x + 24y + 18z = 1,738,800 .... (3)

input equation (1) into (2)

 y + z + y + z = 55,000

2y + 2z = 55,000...... (4)

so for exuation (3), input equation (1) into (3):

42x + 24y + 18z = 1,738,800

42(y + z) + 24y + 18z = 1,738,800

42y + 42z + 24y + 18z = 1,738,800

collect like terms:

66y + 60z = 1,738,800 ..... (5)

multiply equation (4) by -30. -30 is chosen to remove z from the equation so we could get what y is

-60y - 60z = - 1,650,000‬ ...... (6)

add equation (5) and (6)

6y + 0 = 88,800‬

y = 14,800‬ seats

Input the value of y into equation (4) to find z

2y + 2z = 55,000

2(14,800) + 2z = 55,000

29,600 + 2z = 55,000

2z = 25,400‬

z = 12,700‬ seats

To find the number of seats in section A we use equation (2)

x + y + z = 55,000

x +14,800 + 12,700 = 55,000

x + 27,500 = 55,000

x = 27,500 seats

To verify our answer to see if the number of seats in Section A equals the total number of seats in Sections B and C.

total number of seats in Sections B and C = 14,800 + 12,700 = 27,500

so number of seats in section A = B + C

Greg drove 300 miles at a constant speed in 5. The speed limit was 70 miles per hour. Was his rate greater than the speed limit?

Answers

The average speed of Greg will be 60 miles per hour.

To answer this question, we need to calculate Greg's average speed during the trip.

We can use the formula:

Average Speed = Total Distance / Total Time

In this case, Greg drove 300 miles in 5 hours, so:

Average Speed = 300 miles / 5 hours = 60 miles per hour

Since Greg's average speed was 60 miles per hour, which is less than the speed limit of 70 miles per hour, his rate was not greater than the speed limit.

Learn more about inequalities here:

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2. Five pigs were weighed daily to regulate caloric
intake before the stock show. The weight
gain/loss for each pig after one week is shown in
the table below.
Pig
Porky
Gumball
Wilbur
Roscoe
Chance
Weight Changes
Weight Gain/Loss (lbs.)
0.17
-1.48
0.10
-1.409
0.07
Which list shows the values in the table from least
to greatest?

Answers

Answer: -1.409, -1.48, 0.007 , 0.10, 0.17


Hope this helps

How to solve Y=10+2(x-4)

Answers

y=10+2(x-4)

Use the distributive property to multiply 2 by x-4.y=10+2x-8

Subtract 8 from 10 to get

y=2+2x

Step-by-step explanation:

I think this is right good luck

I need help with this question 7.89 square root X12+65=

Answers

Answer:

79x 8.8881941732 approximately 54Thanks for the points A hope it helped alot

Answer:

79×8.88881941732 approximately 54.Tysm for points.~Anna Bella

-5(5-3v)=-115
Helpp me please

Answers

we start by opening the brackets so it will be -25 plus 15 v is equals to 115. negative times a negative is a positive so -5 times -3 we we have gotten positive 15v there I hope you understood so our new equation is -25 + 15v is equals to 115 collect the like terms 15v is equals to 115 + 25 15 v is equals to 140 divide both sides by 15 so v is equals to 9 and 1/3

Find the value of y.​

Answers

Answer:

11

Step-by-step explanation:

we know opposite angles are the same, so

8y-16=72

+16

8y=88

/8

y=11

what is the answer to (-7)(2)(-2).

Answers

Answer:

28

Step-by-step explanation:

-2 × -7 = 14

14 × 2 = 28

thats the correct answer

In the relation f(x) = 2x - 15, what is the value of x if f(x) = 39
A. 27
B. 7
C. 12
D. 32

Answers

The answer is A. 27..


2.
Jack and Jill went to Taco Bell. Jack bought three tacos and two burritos
and paid $5.40. Jill bought two tacos and one burrito and paid $3.10.
What is the individual cost of a taco? How much does a burrito cost?
(How do I write my two equations for this?? Pls and thank you!)

Answers

answer:

x = 0.80

y = 1.50

step-by-step explanation:

x = cost of tacos

y = cost of burritos

both equations:

3x + 2y = 5.40

2x + 1y = 3.10

             ^

turn this | into this |

                             v

               y = 3.10 - 2x

then add it to the equation :

3x + 2 [ 3.10 - 2x ] = 5.40

3x + 6.2 - 4x = 5.40

-1x = - 0.8

x= 0.80

then add x = 0.80 to the equations to get :

3 [ 0.80 ] + 2y = 5.40

2.4 + 2y = 5.40

2y = 3

y = 1.5

16) The chorus needs to raise money to go on their annual trip. It will cost $2,000 to go. So far, they have raised
$800 selling their chocolate candy bars. If they decide to sell sandwiches at lunch for $3 each, how many
sandwiches will they need to sell to raise the remaining funds?

Answers

Answer:

400 sandwiches

Step-by-step explanation:

2000 - 800 = $1200 (still need this amount from selling sandwiches)

$1200/$3 per sandwich = 400 sandwiches

Henry predicted whether he got answers right or wrong in his 50 question exam. He identified the 36 questions he thought he got right. It turns out that Henry got 5 questions wrong that he thought he got correct and he only got 11 of the questions wrong he had predicted. What is the percentage accuracy he had with predicting his scores?

Answers

Answer:

84%

Step-by-step explanation:

Henry completed a total of 50 questions. From these 50 he predicted 36 were right and this means he also predicted that 14 were wrong (50-36 = 14). From these predictions 5 out of 36 from the ones that he predicted were right were actually wrong and 3 of the 14 questions (14-11 = 3) he predicted were wrong were actually right. Meaning in total he wrongly predicted 8 questions which means he predicted 42 correctly ...

42 / 50 = 0.84 = 84%

Therefore, Henry's prediction accuracy is 84%

What is the square root of -36

Answers

Answer:6 i

Step-by-step explanation:

hope i help u have  a great day

Answer:

i don't think you can square root a negative number

A recipe for orange water says, "Mix 3 teaspoons yellow water with 1 teaspoon red water." For this recipe, we might say: "The ratio of teaspoons of yellow water to teaspoons of red water is 3:1 ." Write a ratio for 2 batches of this recipe and explain how you know it is equivalent to 3:1.

Answers

Answer:

The ratio of 2 batches of recipe is 6:2. Which is equivalent to 3:1 because if we multiply the ratio with same number it would give us equivalent ratio.

Step-by-step explanation:

When mix 3 teaspoon of Yellow water with 1 teaspoon of red water, we get ratio as 3:1

If we use 2 batches of recipe, the ratio is multiplied twice.

That's ratio of yellow water to red water is 3*2 :1*2 , which gives 6:2

But, if we simplify the ratio, by dividing both by common factor, we would get 3:1

That's [tex]\frac{6}{2} :\frac{2}{2}[/tex] simplified to 3:1

A 6 foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?
A) 52.06 feet
B) 8.68 feet
C) 25.5 feet
D) 1.41 feet

Answers

C

6/3.5 = 14.875/x

6 x 14.875 = 89.25

89.25/3.5 = 25.5
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