solve the triangle. Round decimal places to the nearest place

Answer:

f(g(x)) = 9x^2 +12x -1

Step-by-step explanation:

f(g(x)) means you replace the x in f(x) with g(x), which is 3x + 1:

(3x+1)^2 + 2(3x+1) - 4

then expand and simplify:

(3x+1)(3x+1) + 6x+2 - 4

9x^2+6x+1 + 6x+2 - 4

and then collect all like terms:

9x^2

6x + 6x = 12x

1 + 2 - 4 = -1

Answer:

the answer is 5 units

Step-by-step explanation:

You can look at the location of B and C and see that the line goes from 2 to -2 which is 5 units apart. -2, -1, 0, 1, 2

Answer:

.2625

Step-by-step explanation:

logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271

logb(5/3)

We know that logx ( y/z) = logx (y) - logz (z)

logb ( 5) - logb(3)

0.8271 - 0.5646

.2625

Answer:

F. 2.6252

Step-by-step explanation:

0.8271 - 0.5646

Answer:

18 inches of ribbon

Step-by-step explanation:

that is the procedure above

Answer:

D

Step-by-step explanation:

[tex]f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1[/tex]

Answer:

1, 4, 9, 16, 25

Step-by-step explanation:

The pattern increases by an odd number. It can be seen that;

n²

for the first pattern

1²=1

for the second pattern

2²=4

for the third pattern

3²=9

for the forth pattern

4²=16

for the fifth pattern

5²=25

Answer: B. 4 × 10⁻⁵

Step-by-step explanation:

0.00003762 = 3.762 × 10⁻⁵ ≈ 4 × 10⁻⁵

Answer:

b

Step-by-step explanation:

[tex]4 \times {10}^{ - 5} = 4 \times \frac{1}{100000} [/tex]

Answer:

RS 99

Step-by-step explanation:

%p = p/cp ×100

22 = p/450 × 100

22 = 100p/450

cross multiply

22 × 450 =100p

9900 = 100p

100p =9900

p = 9900/100

p = 99

Answer:

y=-3.5

Step-by-step explanation

Answer:

y = -3.5

Step-by-step explanation:

This is a horizontal line ( the y value does not change)

Horizontal lines are of the form

y=   constant

y = -3.5

Answer:

1/5^5

Step-by-step explanation:

Flip the equation into a fraction.

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⠀⠈⠛⠛⠛⠓⠒⠚⠛⠛⠛⠛⠛⠋⠙⠛⠛⠛⠛⠟⠿⠷⠶⠶⠾⠿⢿⠿⠿⠿ Don't mind me, just a feller out on the farm.

Answer:

210 * 1.1 = 231

48*1.1 = 52.8

Step-by-step explanation:

Answer:  2 distinct complex solutions (ie non real solutions).

Work Shown:

The given equation is in the form ax^2+bx+c = 0, so

a = 1, b = 3, c = 8

Plug those into the formula below to find the discriminant

D = b^2 - 4ac

D = 3^2 - 4(1)(8)

D = -23

The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and [tex]i = \sqrt{-1}[/tex]. The two solutions are different from one another.

Answer:

Discriminant: -23

Number of real roots: 0

Step-by-step explanation:

For a quadratic in standard form [tex]ax^2+bx+c[/tex], the discriminant is given by [tex]b^2-4ac[/tex].

In [tex]x^2+3x+8[/tex], assign:

The discriminant is therefore:

[tex]3^2-4(1)(8)=9-32=\boxed{-23}[/tex]

For any quadratic:

Since the quadratic in the question has a discriminant less than 0, there are no real solutions to this quadratic.

Answer:

x = - 3, y = 2

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

y = - 2x - 4 → (2)

Substitute y = x + 5 into (2)

x + 5 = - 2x - 4 ( add 2x to both sides )

3x + 5 = - 4 ( subtract 5 from both sides )

3x = - 9 ( divide both sides by 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 3 + 5 = 2

Answer:

116y = 96.28

----      ---------

116        116

y = 0.83--------

Answer:

0.83-------

Step-by-step explanation:

Answer:

The height is 0.014

Step-by-step explanation:

Use the formula, V=πr2h

h=V

πr2=13

π·172≈0.014

Answer:

Step-by-step explanation:

90/100 * x = 15750

0.9 x = 15750

x = 15750/0.9

x = 17500

Now check this by taking 10% off. Do you get 15750?

Let's see

10/100 of 17500 = 1750

Subtract that from 17500

17500 - 1750 = 15750 which is exactly what you should get.

Answer:

the formula

Step-by-step explanation:

substitute the formula with the numbers give n-2 is number of sides -2 fyi

Answer:

Hello Arjun, The Answer Is 26.54 panels.

Explanation:

Dimensions of roof section: 7.2m By 4.4m

Area Of Roof: 7.2*4.4 = 31.68m²

Dimension of solar panels: 1400mm by 850mm

= 1400÷1000 by 850÷1000 = 1.4m by 0.85m

So We can say that: Area each solar panel = 1.4 * 0.85 = 1.19m²

The 30 CM Gap On All Edges Gives Us A Square Of Side = 30 Cm = 0.3 M

So, The Area Of Gap Left = 0.3*0.3 = 0.9m²

Now, The Total Area That Can Be Covered Is 31.68-0.9 = 31.59m²

So, Now we Divide The area remaining with the area of the solar panel that is: 31.59 ÷ 1.19m² = 26.54 Panels...

I Could Only Understand This Much  From The HW Ma'am Gave, So This Was My Answer...

Hope It Helps!

Answer:

The answers is 369 and 577... good luck. ♥️♥️♥️

Answer:

SA= 3603.84cm^2

Step-by-step explanation:

the Surface Area SA is the total area of the sides and the base.

The area of the base= 32*32= 1024cm^2

the area of one of the sides = slant height of pyramid * base edge/2

the slant height l of the pyramid

l= sqrt(16^2+37^2) = 40.31cm

area of the side =( 40.31*32)/2 =644.96cm^2

there are 4 sides so the area of the sides are

4* 644.96=

addig the area of the base we get the Surface Area SA of the pyramid

SA = 2579.84 + 1024 = 3603.84cm^2

Cost of 1 product -> 85 cents

Number of products required-> 26

Cost of one product × Number of products required

[tex]85 \times 26 \\ 2,210 \: cents[/tex]

2,210 cents Is your answer

Answer:

40%

Step-by-step explanation:

11A girls+boys / total number of students * 100

(14+12)/(65)*100

=26/65 * 100

=40%

Answer:

21 is: [tex]\frac{4}{9}[/tex] x + [tex]\frac{31}{72}[/tex]

22 is: 4 [tex]\frac{39}{44}[/tex]

23 is:[tex]\frac{1}{4}[/tex] x + [tex]\frac{31}{72}[/tex]

24 is:  [tex]\frac{-2}{11}[/tex] x + [tex]\frac{7}{11}[/tex]

Step-by-step explanation: Hope this helps and good luck mark brainliest if u want :)

Given: -1/2 x > 6

-1/2 x > 6

x > -6×2

x > -12

So The Correct Solution Set Will Be

Answer:

.5987

Step-by-step explanation:

Use a ztable and find .25 (pic below)

Answer:

(r - c)(4), is the profit made in George's new store after 4 months which is $4,500

Step-by-step explanation:

The given parameters for George's store are;

The amount of revenue George makes each month, r(x) = x² + 6·x + 10

The expenses each month, c(x) = x² - 4·x + 5

Where;

x = The number of months the store has opened the doors

r(x) and c(x) are measured in hundreds of dollars

The amount of profit from the store, P = Revenue - Expenses

Therefore, the profit made on a given month, x, is P(x), which is found as follows;

P(x) = r(x) - c(x) = (r - c)(x)

Therefore, (r - c)(4) = P(4), is the profit realized from George's new store, after 4 months

(r - c)(4) = 4² + 6·4 + 10 - (4² - 4·4 + 5) = 45

Answer:

The new store will have a profit of $4500 after its fourth month in business.

Step-by-step explanation:

I took the quiz

Answer:

See explanation

Step-by-step explanation:

The question is not properly presented; I will answer this with the following similar question.

[tex]h(x) = -\frac{1}{3}x^2 + 4[/tex] --- [tex]x \ne 2[/tex]

[tex]h(x) = -4[/tex] --- [tex]x= 2[/tex]

Required

[tex]h(-5)\ \&\ h(2)[/tex]

Calculating h(-5)

This implies that: x = -5

[tex]-5 \ne 2[/tex]

So, we make use of:

[tex]h(x) = -\frac{1}{3}x^2 + 4[/tex]

Substitute -5 for x

[tex]h(-5) = -\frac{1}{3} * (-5)^2 + 4[/tex]

[tex]h(-5) = -\frac{1}{3} * 25 + 4[/tex]

[tex]h(-5) = -\frac{25}{3} + 4[/tex]

Take LCM

[tex]h(-5) = \frac{-25+12}{3}[/tex]

[tex]h(-5) = -\frac{13}{3}[/tex]

Calculating h(2)

This implies that: x = 2

[tex]2 = 2[/tex]

So, we make use of:

[tex]h(x) = -4[/tex]

Substitute 2 for x

[tex]h(2) = -4[/tex]

Use the above explanation to answer your question

Answer:

C -2,-1

Step-by-step explanation:

I pulled up a graph of a circle. -2, -1 is outside the circle