PLEASE HELP
Consider these functions:
f(x) = ½x²+5x
g(x) = x²+2
What is the value of f(g(-2))?
​

Answer:

[tex]a + c = 180 - 65 = 115[/tex]

Answer: 4

Step-by-step explanation:

By finding the relative frequency, we will see that we can expect that 4 out of the next 20 sundaes will have nuts.

First, we know that 2 out of the last 10 sundaes sold had nuts. So the relative frequency of sundaes with nuts is:

R = 2/10 = 0.2

(the quotient between the number of sundaes with nuts and the total number of sundaes)

Then, out of the next 20 sundaes, we can expect that the number of sundaes with nuts will be:

N = R*20 = 0.2*20 = 4

If you want to learn more about relative frequency, you can read:

https://brainly.com/question/3857836

Answer:

-5 and 2

Step-by-step explanation:

-5+2=-3

-5*2=-10

Answer: I suppose you have to include a photo of you work for the assignment.

Answer:

try to solve 4y-2=18 which equals 5

then solve 2x+8=22 which equals 7

Answer:

135 units²

Step-by-step explanation:

height = √17²-8²=√289-64=√225=15

area = 9×15 = 135 units²

Answer:

36

Step-by-step explanation:

6 x 6= 36

train A speed = 95 mph

train B speed = 105 mph

they are travelling towards each other

so effective speed = 200 mph.

distance = 360 miles

t= d/r

t=360/200

time = 1.8 hours they will meet

Answer:

46°

Step-by-step explanation:

tan Ф = 21/20

Ф = tan-1 (21/20)

= 46°

3x+6-[-5]+7x

=3x+6+5+7x

= 3x+7x=6+5

=10x=11

=x=11/10

SO,

x=11/10

Answer:

4x+11

Step-by-step explanation:

-3x+7x +6+5

4x+11

Answer:

B, D and E

Step-by-step explanation:

Using the rules of exponents/ radicals

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex]

Given

[tex]49^{-\frac{1}{2} }[/tex] = [tex]\frac{1}{49^{\frac{1}{2} } }[/tex]  → E

= [tex]\frac{1}{\sqrt{49} }[/tex]  → B

= [tex]\frac{1}{7}[/tex] → D

Answer: he can choose from three combinations

Step-by-step explanation: since three is the lowest number it can be paired with three others combinations  

The number of different outfits Tyler choose is equal to 840

From the question, we have the following parameters that can be used in our computation:

Given 3 pairs of pants, 7 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes.

Thus, the number of different outfits is the products of the count of each apparel.

This is represented as;

Different outfits = Pants * T-shirts * Sweaters or hoodies * Pairs of shoes

Substitute the known values in the above equation;

Different outfits = 3 x 7 x 8 x 5

Evaluate;

Different outfits = 840

Hence, there are 840 different outfits

Read more about combination at

brainly.com/question/11732255

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Answer:

The triangles are not similar.

Step-by-step explanation:

Look at ratios of corresponding sides. If the triangles are similar, all the ratios will be equal.

Compare a side from [tex]\triangle{RTS}[/tex] with a side from [tex]\triangle{MQP}[/tex].

16/20 = 4/5

12/15 = 4/5  (looks promising, so far!)

20/26 = 10/13   Not at all the same as 4/5, so the triangles are not similar.

Answer:

If we were to use 3.14 as pi . . .

43.96/3.14 = 14

14/2 = 7

7 x 7 = 49

49 x 3.14 = 153.86

153.86 would be the correct answer

But if we were to use pi. . .

615.1279985 would be the answer.

Answer:154 rounded to whole number

Step-by-step explanation:

C=pi ×d

43.96 = 3.14 ×d

d= 43.96÷3.14

d= 14

So radius is 7 (half of diameter)

Area=3.14×7×7

=153.86

Answer:

AUC={0,1,2,3,4,6,8}

hope it helps.

C = {1, 2, 3, 8}

A U C = {0,1,2,3,4,6,8}

Answer:

0.4

Step-by-step explanation:

1-0.6=0.4???????????????

identity used is

x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).

then use

(x+y+z)² = x²+y²+z²+2(xy+yz+xz)

225= 83 + 2(xy+yz+xz)

xy+yz+xz = (225-83)/2

xy+yz+xz= 142/2

xy+yz+xz= 71

ok

now use identity

x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).

now

x³ + y³+ z³– 3xyz = 15 (83 – xy – yz – zx).

= 15[83 - (71)]

= 15×12

=180

Answer:

its A

Step-by-step explanation:

it is a because its -9 down and 7 to the right

Answer:

The answer is 95 in^2

Step-by-step explanation:

The lawn is made up of 5 congruent triangles.

Since we know the area of the triangles we can add or multiply them.

5 * 19 = 95 so the area is 95 in^2

Answer:

The chance of getting a pair of black socks is 73.33%

Answer:

4,112 yards

Step-by-step explanation:

because I said so

Answer:

1.

Volume= 729cm^3

Height= 9cm^2

Area of Base= 81cm^2

2.

Volume=450m^3

Height= 3m^2

Area of Base=150m^2

3.

Volume= 480 cm^2

Area of base=75cm^2

Height= 8cm^2

4.

Volume =120in^3

Area of Base=20in^2

Height= 6in^2

Step-by-step explanation:

Volume = (length) Times (Width) Times (Height)

Area os base = (Length) Times (width)

Answer:

Option D.

Its a Polynomial or Binomial of index 2

I try it

Answer:

28.36

Step-by-step explanation:

Perimeter = 45

Perimeter = 2x + 3 + x + 6x + 1

2x + 3 + x + 6x + 1 = 45

9x + 4 = 45

9x = 45 - 4

9x = 41

X = 41/9

X = 4.56 or 4.6 (base on how may decimal places)

Hypotenuse

=6x + 1

= 6(4.56) +1

=38.36

Or

Hypotenuse

=6x +1

= 6(4.6) +1

=28.6

Answer: (x+4)(x-9)=0 is zero product property, you're correct on the second one

Step-by-step explanation:

Answer:

it depends on how many females are there

Step-by-step explanation:

I need to know how many females are there

Answer: If there are x total members, then the number of males is 5/8x

Answer:

A

Step-by-step explanation:

We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.

Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.