What is an equivalent expression to 4m+3m +m

Answers

Answer 1

Answer: 4m + 3m + m. Add it all.

= 7m

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Write an explicit rule to represent the sequence :
4, 10, 16, 22,...

Answers

It's an arithmetic sequence:

$a_1=4;\ a_2=10;\ a_3=16;\ a_4=22;\ ...$

The explicit rule:

$a_n=a_1+(n-1)d$

$d=a_(n+1)-a_n\to d=a_2-a_1=a_3-a_2=a_4-a_3=...$

$d=10-4=16-10=22-16=6$

Substitute:

$f(n)=4+(n-1)(6)=4+6n-6=6n-2$

Answer: f(n) = 6n - 2

Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.About how many people had viewed the video once it had been online for 20 days?

190
858
6,271
86,460

Answers

In the question "Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online. About how many people had viewed the video once it had been online for 20 days?" The correct answer is 6271 because given the function f(x) = 33(1.3)^x where x is the number of days the video has been online. For x = 20 days: f(20) = 33(1.3)^20 = 33(190.0496377) = 6,271

By evaluating the exponential equation we will see that the correct option is 6,271.

How many people viewed the video after 20 days?

We know that the number of people that view the video is given by:

$f(x) = 33*(1.3)^x$

Where x is the number of days.

Then, we just need to evaluate the function in x = 20, we will get:

$f(20) = 33*(1.3)^(20) = 6,271$

So we conclude that after 20 days, 6,271 people saw the video.

If you want to learn more about exponential equations:

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Below are five number sequences. Which ones are geometric sequences?Check all that apply.A- 1 2 3 4 53 9 27 81 343B. 2, 3, 5, 9, 17,C. 3, -12, 48, -192, 768,D. 3, -15, -33, -51, -69,E., 1 1 1 1

Answers

Geometric sequence is a sequence of values where the next term is the product of the previous term multiplied by a fixed amount called common ratio.

Among the choices, I find 2 that are geometric sequences.

C. 3, -12, 48, -192, 768 common ratio is -4

E. 1, 1/2, 1/4, 1/8,1/16 common ratio is 1/2

Use the order of operations to solve the problem. 7 x 8 + 4 +1

Answers

Answer:

7x8 is 56 plus four plus one equals 61

Step-by-step explanation:

The function t(x) = x + 6 determines how many cans of soup a food truck needs to stock, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on soup. The function c(x) = 2x + 4. Solve for how much money must be spent when the crew is going to work 4 shifts.(A. 24; B. 28; C. 30; D. 34)

Answers

Answer:

Option A is correct.

The amount of money must be spent when the crew is going to work 4 shifts is, 24

Step-by-step explanation:

Given the function: $t(x) = x+6$ .....[1] ; where x represents the number of shifts the crew is going to work in the truck.

Also, the crew uses c(t(x)) which represents the amount of money to spend on soup.

The function is given as:

c(x) = 2x + 4 .....[2]

To find c(t(x)) i.e, the money must be spent when the crew is going to work 4 shifts.

⇒ x = 4

First substitute the value of x in [1] to find t(x);

$t(4) = 4+6 = 10$

Then;

For x=4 ,

c(t(4)) = 2(t(4)) +4 [Using equation [2]]

Substitute the value of t(4) = 10 we have;

c(t(4)) = 2(10) +4 = 20 + 4 = 24

Therefore, the amount must be spent when the crew is going to work 4 shifts is, 24

First, you have to solve t(x) when x=4, because the crew is working 4 scripts. Which is t(x)=4+6
t(x)=10
Then, you plug in t(x) to c(x).
c(x)=2(10)+4
c(x)=24

5. A lawnmower designer wants to build a lawnmower that measures 3 feet in height, 2 feet in width, and 5 feet in length. She needs to construct a three-dimensional scale model of the lawnmower first. Which measurements are appropriate for the scale model?-7in high, 6in wide, and 9in long
-6in high, 4in wide, and 10in long
-9in high, 4in wide, and 10in long
-9in high, 6in wide, and 10in long

Answers

Answer:

The second one. 6in high, 4in wide, and 10 long

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