What is the value of k??

Answer:

See answers below

Step-by-step explanation:

Given the function:

f(x) = 0.15x + 900

a) f(80) = 0.15(80) + 900

f(80) = 12 +  900

f(80) = 912

b)  f(120) = 0.15(120) + 900

f(120) = 18 +  900

f(120) = 918

c) f(200) = 0.15(200) + 900

f(200) = 30 +  900

f(200) = 930

d)  f(56) = 0.15(56) + 900

f(56) = 8.4 +  900

f(56) = 908.4

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

    = ( 5-2)/(1 - -3)

    = (5-2)/(1+3)

    = 3/4

6(f+4) + 2(f+4)

Use the distributive property:

6f+24 + 2f + 8

Now combine like terms:

8f +32

The answer is 8f + 32

Answer:

8 f + 32

Step-by-step explanation:

6 ( f + 4 ) + 2 ( f + 4 )

Distribute

6 × f + 6 × 4 + 2 × f + 2 × 8

6 f + 24 + 2f + 8

Collect like terms

6 f + 2 f + 24 + 8

Add the numbers

8 f + 32

Answer:

(f-g)(x)=2x+1-x^2+7

=2x-x^2+8

=-(x^2-2x-8)

=-(x^2-4x+2x-8)

=-{x(x-4)+2(x-4)}

=-(x+2)(x-4)

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

Let x=5

f(5) = 3*5 + 2

Multiply first

    = 15+2

Then add

    = 17

Answer:

factor of 6 and 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-10 and 9

-10×9=-90

-10+9=-1

Answer:

b

Step-by-step explanation:

I can't explain it but the answer is b

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

Answer:

The volume of the sphere is  523.60

Step-by-step explanation:

The formula for volume of a sphere is :

V = [tex]\frac{4}{3} \pi r^{3}[/tex]

The radius of this sphere is 5, so let's plug that into our equation.

V = [tex]\frac{4}{3}[/tex] · [tex]\pi[/tex] · [tex]5^{3}[/tex]

≈ 523. 59878

Rounded to the nearest hundreth that is 523.60.

Answer:

Step-by-step explanation:

First, put them in order.

5.3x+3.6x+9.8-8.14

Add 5.3x and 3.6x

8.9x

Subtract 8.14 from 9.8

1.66

Answer:

-10

Step-by-step explanation:

i think this is the answer

Answer:

Z = 65 Y = 115

Step-by-step explanation:

z+115 = 180

z=65

y + 65 +100+80= 360

y+245 = 360

y=115

Answer:

y = 115°

z = 65°

Step-by-step explanation:

*IMPORTANT* Straight line = 180° & Squares = 360°

1) 180° - 115° = 65°

z = 65°

2) 360° - 100° - 80° - 65° = 115°

Also, interior angles = exterior angles

Answer:

r = [tex]\frac{V-IR}{I}[/tex]

Step-by-step explanation:

Given

V = I (R + r) ← distribute parenthesis

V = IR + Ir ( subtract IR from both sides )

V - IR = Ir ( divide both sides by I )

[tex]\frac{V-IR}{I}[/tex] = r

Answer:

8 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Find the LCD of the two fractions, which is six

3[tex]\frac{1}{2}[/tex] = 3 [tex]\frac{3}{6}[/tex]

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5[tex]\frac{1}{6}[/tex] + 3 [tex]\frac{3}{6}[/tex] = 8[tex]\frac{4}{6}[/tex]

The next step is to reduce:

8[tex]\frac{4}{6}[/tex] = 8[tex]\frac{2}{3}[/tex]

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Have a great summer :)

Answer:

Step-by-step explanation:

[tex]5\frac{1}{6} +3\frac{1}{2} =\frac{31}{6} +\frac{7}{2} \\=\frac{31+21}{6}\\=\frac{52}{6} \\=\frac{26}{3} \\=8\frac{2}{3}[/tex]

__________________________

Step 1: Combine 3x² and 1x² to get 4x²

Step 2: Combine 5x and -2x to get 3x

3x² + 5x + 1 × x² - 2x + 4

___________________________

Answer:

28=12+15+8+x

28=35+x

35-28=x

x=7

Answer:

105˚, 75˚

Step-by-step explanation:

<2 is 75˚ by same side angles of a transversal.

<1 is supplementary to <2 so 180-75 = 105˚

Step-by-step explanation:

everything can be found in the picture

Answer:

61

Step-by-step explanation:

lenths is a right anglre

Answer:

i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (4, 5) into the partial equation

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

Answer:

Step-by-step explanation:

slope=-2

now using slope intercet formof equation of straight line,we get

y=mx+b

or, y=-2x + b

y + 2x =b

2x + y=b ......................   eq(i)

since the line passes through the point (4,5) it satisfies the equation (i)

y=5 and x=4 so,

equation is 2x +y =b

2*4 + 5=b

8+5=b

13=b

substituting the value of b in eq(i)

2x + y=b

2x + y=13

2x + y-13=0  is the required equation of the line.

Answer:

B) =

Step-by-step explanation:

When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.

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Have a great summer :)

Answer:

15

Step-by-step explanation:

15 cubed (15×15×15) equals 3375

Answer:

57

Step-by-step explanation:

100 - 43 =

57

Answer:

He got 57% wrong

Step-by-step explanation:

If he got 43% correct, there is 100 percent on the assignment

100 -43 = 57

He got 57% wrong

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: