for the functions u(t) = 7t - 2 and s(t) = t^2 - 9, what is s (u(2))?

Answers

Answer 1

Answer:

[tex]s(u(2)) = 135[/tex]

Step-by-step explanation:

[tex]u(t) = 7t - 2 \\ u(2) = 7(2) - 2 \\ u(2) = 14 - 2 \\ u(2) = 12 \\ \\ s(t) = {t}^{2} - 9 \\ s(u(2)) = {(12)}^{2} - 9 \\ s(u(2)) = 144 - 9 \\ \\ s(u(2)) = 135[/tex]

I hope I helped you^_^

Answer 2

For the functions u(t) = 7t - 2 and s(t) = t² - 9. s(u(2)) = 135

What is a function?

A function is a mathematical equation that shows the relationship between two variables.

For the functions u(t) = 7t - 2 and s(t) = t² - 9.To find what is s(u(2)), we proceed as follows.

Since u(t) = 7t - 2. Then u(2) is evaluated when t = 2. So, we have that

u(t) = 7t - 2

u(2) = 7(2) - 2

u(2) = 14 - 2

u(2) = 12

Now, since u(2) = 12 and s(t) = t² - 9

s(u(2)) is evaluated as follows

s(t) = t² - 9

s(u(2)) = 12² - 9

s(u(2)) = 144 - 9

s(u(2)) = 135

So, s(u(2)) = 135

Learn more about function here:

https://brainly.com/question/29631554

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Approximately 8 meters

Step-by-step explana

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In a neutral atom that has 18 protons, how many electrons does it have?

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Neutral atoms must have equal numbers of protons and electrons

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gradient from 2 - 1/2y = 0​

Answers

Given :

2 - 1/2y = 0

To find :-

The gradient form .

Solution :-

The gradient form/ slope intercept form

y = mx + c ,

On converting ,

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5 hundred millions, 4 millions, 6 thousands, 2 tens
>
504,060,020 ?

Answers

Answer:

5 hundred millions, 4 millions, 6 thousands, 2 tens = 504,006,020

Step-by-step explanation:

504,060,020 > 5 hundred millions, 4 millions, 6 thousands, 2 tens

                                                                                      (504,006,020)

Allison is going to the post office to buy 34cent stamps and 3 cent adjustment stamps. Since the current postage rate is 49 cent she will need 5 times as many 3 cent adjusment stamps as 34 cent stamps. If she has $12.25 to spend, what is the largest number of 34 cent stamps she can buy?

Answers

Determine the largest number of 34 cent stamps she can buy

The largest number of 34 cent stamps she can buy is 30

Given:

Total money = $12.25

let

x = 34 cent stamp

y = 3 cent stamp

34 cent stamp = 5 × 3 cent stamp

x + y = 0.49

x = 5y

0.34x + 0.3y = 12.25

0.35(5y) + 0.3y = 12.25

1.75y + 0.3y = 12.25

2.05y = 12.25

y = 12.25/2.05

y = 5.9756097560975

approximately, y = 6

Recall,

x = 5y

x = 5(6)

x = 30

Therefore, the largest number of 34 cent stamps she can buy is 30

Read more:

https://brainly.com/question/7852538

Verify in the following whether g(x) is a factor of p(x)
(i). g(x) = x-2; p(x) = x⁴-x³-x²-x-2
(ii). g(x) = x+1; p(x) = 2x³+x²-2x+1​

Answers

[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]

Given that,

[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]

and

[tex]\rm \longmapsto\:g(x) = x - 2[/tex]

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

[tex]\rm \longmapsto\:p(2)[/tex]

[tex]\rm \:  =  \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]

[tex]\rm \:  =  \: 16 - 8 - 4 - 4[/tex]

[tex]\rm \:  =  \: 16 - (8 + 4 + 4)[/tex]

[tex]\rm \:  =  \: 16 - 16[/tex]

[tex]\rm \:  =  \: 0[/tex]

[tex]\rm\implies \:p(2) \: = \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]

[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]

[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]

and

[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]

Now, By using Factor Theorem, Consider

[tex]\rm \longmapsto\:p( - 1)[/tex]

[tex]\rm \:  =  \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]

[tex]\rm \:  =  \: - 2 + 1 + 2 + 1[/tex]

[tex]\rm \:  =  \: 2[/tex]

[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]

3) Determne the largest multiple of 9 less than 200 ​

Answers

Answer:

i think 22

Step-by-step explanation:

9*22=198

The depth of water in a reservoir increases from 14m to 15.75m. Work out the percentage increase.

Answers

Answer:

It was a 12.5% water gain

I NEED HELP ASAP WILL GIVE BRAINLIEST FOR ALL 3

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2) i don't know answer for 2, but i know that it isn't right triangle because from Pythagoras' Theory we know that for right triangle: a^2 + b^2 = c^2 but in this triangle 30^2 + 38^2 ≠ 54^2

3) from Pythagoras' theory we know that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides: a^2 + b^2 = c^2

we have to check this in this triangle:

12^2 + 16^2 = 400

√400 = 20

we know that third side of this triangle is 20 so this triangle is right triangle

3) in square all sides are same so If a is the one side of the square then area of this square will be a x a = 242

a^2 = 242

so from Pythagoras' theorem we can found the diagonal:

a^2 + a^2 = c^2 ( c is hypothenuse)

242 + 242 = c^2

484 = c^2

c = 22

hope it's correct and it'll help you :)

65 people paid $5 to go in a haunted house. They all went in, someone took their time to see the decorations and special effects. After 14 minutes half of them were outside waiting for the rest to finish. How many people are still inside? (HELP ME PLS AND I WILL PUT 5 STARS :)

Answers

Step-by-step explanation:

here's your answer

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Answer: 32.5

Step-by-step explanation: 65 divided by 2 ( 2 x 3 = 6 bring down the 5 so 2x2 = 4. Your remainder is 1 bit you can’t leave it like that so you add a extra zero put your decimal point so 32. (2x5 = 10 (remainder 0)

Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches How much flour does Nate need to make his cookies? 1 cups 62 cups 12 61 cups 71 cups​

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Answer:

12

Step-by-step explanation:

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Answer:

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I hope I helped you^_^


What is the coefficient of the term of degree 4 in the polynomial?
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Answers

the coefficient of term 4 is 2

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Answers

Answer:

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Step-by-step explanation:

divide 1150 by 6.33

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PLEASE HELP DUE IN 30 MINUTES!!!
Shai has to bake a cake for a bake sale. The recipe calls for a quart of sugar. How many cups of sugar will Shai need?

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B) 0.75 cups

C) 1.75 cups

D) 0.25 cups

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Answer:

D

Step-by-step explanation: a cup is 4 quarts

Q.

8³ + 6⁴

..................​

Answers

Answer:

1808

Step-by-step explanation:

Answer:

1808

Step-by-step explanation:

Step 1: 8 to the power of 3 = 8x8x8= 512

Step 2: 6 to the power of 4= 6x6x6x6= 1296

Step 3: 512+1296= 1808

Donna bought 4 bags of dog treats for $10.72. What is the cost per bag of dog treats?

Answers

Answer:

2.68

Step-by-step explanation:

Answer: The bags cost about $2.68 each

Step-by-step explanation: All I did was simple Division: ($10.72 ÷ 4 = $2.68) If you need to double check to see if this is accurate, you can do ($2.68 x 4= 10.72)  Therefore, this equation has an accurate answer.~

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~IFoundJiminsLostJams~

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Answers

Step-by-step explanation:

Multiply both sides by 2/(b1 + b2) to isolate h and get

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Answers

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Step-by-step explanation:

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Answers

Answer: 126.49 cm [A VERY small bedroom]

Step-by-step explanation:

The area of the square bedroom is 16 times larger than Jerry's 1000 cm^2 desk. That makes his bedroom 16000 cm^2, It is square, so each side, x, is the same: x^2 = 16000 cm^2; x = 126.49 cm.

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Answers

Answer:

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Step-by-step explanation:

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40 - 21 = x

x = 10

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PLS HELP ME ASAP
NO LINKS
1.What is the probability of rolling an odd number on a 6 sided die
2.Eric and 3 friends took turns riding the Beast with each other at Kings Island. If they rode with all others exactly once, how many times did they ride it?

3. What is the area of a circle with a radius of 4mm? Use 3.14 for pi.

4. Find the median of the following data set.
6.2, -5.9, 2.4, 1.8, 8.7

5. What is the slope from (-1,2) to (2,-2)?

6. How many different ways can you write the letters a, b and c in order from left to right?

Answers

Answer:

1. 3/6 or 3 out of 6

2. 6 times

3. 50.24mm²

4. 2.4

5. -4/3

6. 6 i think, but i'm not positive on this one

have a wonderful day :)

Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money will he have in his account by the end of the year 8? with solutions​

Answers

Answer:

$34,000

Step-by-step explanation:

Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:

8*1,750 = $14,000

Together with the deposited money:

$20,000 + $14,000 = $34,000

By the end of year 8 there will be $34,000 of Jerry's account.

58ml : 1120ml : 104ml need answer asap!

Answers

Answer:

i dont know the answer sorry

Step-by-step explanation:

A cube has six sides that are numbered 1 to 6. The sides numbered 1, 3, and 5 are yellow, and the sides numbered 2, 4,
and 6 are orange. What is the probability of rolling the cube and getting a yellow and even number?

Answers

Answer: C) 0

Explanation:

The yellow sides are 1,3,5 which are odd numbers. So it's impossible to get an even number that's a yellow side. That's why 0 is the answer here. A probability of zero represents cases when the event can never happen.

Can someone please help me with this??

———————————————

What is the length of the hypotenuse (c)?

4

Or

6


Answers

Answer:

6

Step-by-step explanation:

The hypotenuse is the side opposite the right angle.

The side opposite the right angle is 6 m long

Suppose that 12 inches of wire costs 60 cents at the same rate how many inches of wire can be bought for 25 cents

Answers

Answer:

5 inches

Step-by-step explanation:

60÷12=5 cents ( 1 inches of wire )

25÷5=5 inches

I Will brainlist who can answer this question please!!!​

Answers

The answers are
D) x^2 - 9, A) 8x - 600, C) 9, B) php1000, T) 10 and 45

i need help please thank you

Answers

Answer:

b = 12

Step-by-step explanation:

hi! so this looks like a right triangle because it has a right angle which is 90 degrees! that means we can use the Pythagorean theorem to solve for the missing leg.

The Pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]

a and b will be the two shorter legs, so it does not matter which of the two legs are which! in this problem, 5 and b (the missing leg) are the two shorter legs! c is always the hypotenuse, which is the sloped-looking line. in this problem, 13 is the hypotenuse! this line is the longest side on every right triangle!

Let's solve for the missing leg now!

1) first, we need to plug in the missing numbers into the equation

[tex]5^{2} + b^{2} = 13^{2}[/tex]

2) next, let's simplify the problem

[tex]25 + b^{2} = 169[/tex]

3) now, let's isolate the variable, b

[tex]b^{2} = 144[/tex]

4) finally, we have to take the square root of b so it will be b not [tex]b^{2}[/tex]

b = 12

Let's plug in our answer to the equation to check if it is correct!

[tex]5^{2} + 12^{2} = 13^{2}[/tex]

25 + 144 = 169

169 = 169 hooray!

you do not have to do all of this work if you memorize the Pythagorean triples!

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) , (9, 40, 41)these are automatic matches! for example: [tex]3^{2} + 4^{2} = 5^{2} --> 9 + 16 = 25 --> 25 = 25[/tex]

comment or message if you have any questions :)

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