Given the graph that is shown. What is the range of the function?

Answer:

SR=15units

‹RTQ=90° since ‹RTQ and ‹RTS are supplementary

Given that ‹RTQ is a right angle then RTQ is a right-angled triangle making RQ the hypotenuse

With that knowledge we calculate RT using Pythagorean theorem

RT=√(20)²-(16)²

RT=√400-256

RT=√144=12units

Now for triangle RST, SR is the hypotenuse and should have the longest length whose adjacent,ST should also sum up with 16 to give a number which when combined will give the square root of the sum of the squares of RQ and SR

Plug in 9 for ST and SR becomes

√(12)²+(9)²=√144+81=√225=15 units

This is true because SQ=16+9=25 units

and using Triangle RSQ,

SQ=√(20)²+(15)²=√400+225=√625=25 units

Answer:

[tex]890.75m^3[/tex]

Step-by-step explanation:

Step one:

given data

heigth/depth = 3.5m

radius= 9m

Step two:

The shape is that of a cylinder

Hence the volume of the pool is

[tex]V= \pi r^2h[/tex]

substitute

[tex]V= 3.142*9^2*3.5\\\\V=890.75 m^3[/tex]

Answer: A 2,2

Step-by-step explanation: 1 - 1 something

Answer:

Shahwhehehehdjdjendbxbsnenenen

Answer:

The answer is: 37

Step-by-step explanation:

The reason its this answer because first thing you have to do is the order operations Please Excuse My Dear Aunt Sally, since there is no parenthesis, or exponents we cross those out. Since, there is multiply we put in -14 where is x.

-3x-5=-3(-14)=5

Next, we multiply -3 and -14 and we get:

42, there reason its not a negative because two negatives equal to a positive.

There is Division or Addition, those are out. The only thing that is left Subtraction... So we are going to subtract 42-5 which equals;

37

I hope my answer helps!!

Answer:

C

Step-by-step explanation:

The number line does not end at -2 and the solution should exclude 3 as it is a hollow circle instead of a filled one.

Answer:

sorry I hope I could help u :(

Answer:

The line is super close to 15 or 20. So one of those for sure

Step-by-step explanation:

Answer: its got to be 15 because the line isn't on 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given quadratic formula

Standard form

Simplifying

Solving

Answer:

Step-by-step explanation:

if the triangles are similar their sides should be in proportion so

(56/70)=(48/60) and they are in proportion because .8 = .8

ΔNQR ~ ΔNLM

Answer:

81.6

Step-by-step explanation:

4 × 22 + 16 ÷ 4 - (4.9 + 5.5)

88 + 4 - (10.4)

81.6

Answer: 25%

Step-by-step explanation:

The probability of getting at least one correct answer is  255/256 ≈ 0.996

The probability of getting exactly one correct answer is 5/256 ≈ 0.0195

The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.

As there are two possible results for each of the 5 questions, there are

2⁵ = 256 possibilities total.

To calculate the probability, then, we only need to know how many ways the student can get one correct answer.

The question's wording contains a small amount of uncertainty, therefore we will discuss both possibilities.

Probability of at least one correct answer:

There is only one way the student can have no correct answers, meaning there are 256 -1 = 255 ways the student can have at least one correct answer.

Thus, the probability of getting at least one correct answer is

255/256 ≈ 0.996

Probability of exactly one correct answer:

There are 5 ways the student can get exactly one correct answer

Thus, the probability of getting exactly one correct answer is 5/256 ≈ 0.0195

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer:

36

Step-by-step explanation:

2x•2x=4x

4x-2x=2x

72÷2=36

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

We know that the artist can complete [tex]\frac{1}{4}[/tex] of a painting in 2 weeks. So, we just have to find half of [tex]\frac{1}{4}[/tex] to find how much of a painting the artist can do in a week, which is [tex]\frac{1}{8}[/tex] because half of [tex]\frac{1}{4}[/tex] is [tex]\frac{1}{8}[/tex].

Hope this helps! :)

Answer:

a = -2 or a = -5

Step-by-step explanation:

We want [tex]f(a) = a^2 + 7a + 12 = 2[/tex]. We can subtract 2 from both sides of this equation to get [tex]a^2+7a+10=0[/tex]. We can factor this to get that [tex](a+2)(a+5)=0[/tex]. When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.

Answer:

X = 360

Step-by-step explanation:

180 + x = 540

-180 = -180

Answer:

540-180=360

Step-by-step explanation:

Why? Because he has 180, he need 540. There is 360 in between, which is the money he needs.

Hope this is the right equation.

Answer:

(3 ⋅ x) - (-1/2)

Step-by-step explanation:

Since it says the product of 3 and a number, it can be written as 3 ⋅ x, where you need to multiply 3 by x, and it only says “a number” so you can just put x. Then, it says the difference of that product and -1/2. Now, you can put the product part in, which is 3 ⋅ x, and subtract that with -1/2 to get (3 ⋅ x) - (-1/2)

Hope this helps! :)

Answer:

Step-by-step explanation:

Circumference = 2pi r

440 = 2 *22\7 *r

70 = r

Area= pi r^2

Area= 22\7 *70*70

Area =15400

==========================================================

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.

Overall, we have 30*720 = 21600 different serial numbers possible.

Answer:

(4,2)

Step-by-step explanation:

Answer:

x = 23

Step-by-step explanation:

m<1 and m<3 will be the same because they are vertical

m<3 and m<5 will be the same (I forgot their relationship)

which means m<5 and m<7 will be the same

which ALSO means that m<1 =7

So you know that m<1 = m<7 (4x -6 = 2x +40)

x = 23

Answer:

00.398

Step-by-step explanation:

Answer:

Do you mean in expanded form? If so it's 0.3+0.09+0.008 I believe.

Answer:

a) 3s

B) 144m

C) 6s

Step-by-step explanation:

Given the height modeled by the function;

H(T) = -16t^2 + 96t,

The body will reach its maximum height when dh/dt = 0 (when velocity is zero)

dh/dt = -32t + 96

0 = -32t + 96

32t = 96

t = 96/32

t = 3s

Hence it will take the projectile 3s to reach its maximum height'

B) To get the maximum height we will substitute t = 3 into the equation

H(T) = -16t^2 + 96t,

H(3) = -16(3)^2 + 96(3)

H(3) = -144+ 288

H(3) = 144m]

Hence the maximum height is 144m

C) The projectile reaches the ground at h = 0

H(T) = -16t^2 + 96t,

0= -16t^2 + 96t,

16t² = 96t

16t = 96

t = 96/16

t = 6

Hence it will take the projectile 6s to reach the ground again

Answer:

The answer is choices D.

Step-by-step explanation:

hope this helps

Answer:

42

Step-by-step explanation:

Answer:

27.9135

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

Answer:

494 divided by 6.5 =76

Step-by-step explanation:

Answer:

Rounded to 12 decimals:

56/321 ≈ 17.445482866044%

Rounded to maximum 2 decimals:

56/321 ≈ 17.45%