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The value of y is 45 when x = 25, z = 5 and the value of constant of proportionality is 9, and equation is y = 9x/z

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have:

y varies directly with x and inversely with z.

y ∝ x/z

Removing the proportional sign.

y = kx/z

k is the constant of proportionality.

Plug y = 27, x = 21, and z = 7 to get the value of k

27 = 21k/7

k = 9

y = 9x/z

Plug x = 25, and z = 5

y = 9(25)/5

y = 45

Thus, the value of y is 45 when x = 25, z = 5 and the value of constant of proportionality is 9, and equation is y = 9x/z

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Answer:

[tex]f(9) =-80[/tex]

Step-by-step explanation:

Given

The attached functions

Required

Find f(9)

We have:

[tex]f(x) =-x^2 - 2x + 19[/tex]

So:

[tex]f(9) =-9^2 - 2*9 + 19[/tex]

[tex]f(9) =-81 - 18 + 19[/tex]

[tex]f(9) =-80[/tex]

Answer:

m∠ABC = 53°

Step-by-step explanation:

m∠ABC + m∠CBD = m∠ABD

m∠ABC + 37° = 90°

m∠ABC = 53°

Answer:

53º

Step-by-step explanation:

abc = 90 - 37

abc = 53º

Step-by-step explanation:

y int

x=0

y=4(0)-6

y=-6

0;-6

x int

y=0

0=4x-6

6=4x

6/4=x

3/2=x

3/2;0

Answer:

Below in bold.

Step-by-step explanation:

y = 4x - 6

Find y-intercept:

y = 4(0) - 6 = -6

Y intercept is at (0, -6)

x-intercept:

4x - 6 = 0

4x = 6

x = 6/4 =1.5.

x intercept is at (1.5, 0)

Midpoint is at ((0+1.5)/2, (-6 + 0)/2)

= (0.75, -3)

Answer:

y = 32

Step-by-step explanation:

[tex]\frac{y}{2}+22=38\\\frac{y}{2}=16\\y=32[/tex]

Answer:

y=32

Step-by-step explanation:

y/2 + 22 =38

Subtract 22 from each side

y/2 + 22-22 =38-22

y/2 = 16

Multiply each side by 2

y/2 *2 =16*2

y = 32

52km multiply by 4(days)=208

Answer:

The slope is 6/5 and the y intercept is -13/5

Step-by-step explanation:

6x-5y=13

Solve for y

Subtract 6x from each side

6x-6x-5y=-6x+13

-5y = -6x+13

Divide by -5

-5y/-5 = -6x/-5 +13/-5

y = +6/5x -13/5

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 6/5 and the y intercept is -13/5

Answer:6/6

Step-by-step explanation:

1/6 divide 6

Keep

Flip

Change

your gonna keep 1/6 as a fraction

then flip the second fraction so 6 would’ve been 6/1 but it’s gonna flip so it should look like this 1/6

after you will change the  sign so the division will become multipliaction so it should look like 1/6 x 6/1 which will equal to 6/6

Answer:

Graph A: (0,10) Graph B: (0,20)

Graph A: Height (feet) Graph B: Hight (feet)

Graph A: 138 Graph B: 120

Graph A: 32.6 Graph B: 43

Step-by-step explanation:

The smaller text was really blurry but I tried my best. Hope this helps!

Answer:

Step-by-step explanation:

I just pointed the answers, but quality of picture is poor: it's impossible to indicate the numbers on y-axis, and tell exact number on x-axis.

Answer:

9

Step-by-step explanation:

At the y axis the number is 4

At the x axis the number is -5

So 4-(-5)=9

Answer:

75

Step-by-step explanation:

Substitute 6 for f

12f+3=

12*6+3=

72 + 3 = 75

Answer:

12f+3 = 75 when f = 6

Step-by-step explanation:

12f+3

Let f = 6

12*6+3

Multiply

72 +3

Add

75

Answer:

B

Step-by-step explanation:

Base area = side^2 = 3^2 = 9 m^2

Base perimeter = side x 4 = 3 x 4 = 12 m

LA = (base perimeter x slant height)/2 = (12 x 5)/2 = 30 m

SA = base area + LA = 9 + 30 = 39 m^2

Answer:

128° because it is same side exterior with <5

Step-by-step explanation:

[tex] < 6 = \: < 4 = \: < 1 = 128 \degree[/tex]

Answer:

128 because it corresponding with 5

Answer:

the second one

function A has a slope of 3

function B has a slope of 5

Answer:

gimme a second, I'll comment

Answer:

y=(8/3)x

Step-by-step explanation:

First, we make 8x-3y=3 into the form y=mx+b

3y=8x-3

y=(8/3)x-1

For an equation to be parallel to this equation, the slope must be the same, so the new equation will be:

y=(8/3)x+b

We know that (0,0) is a point in this line. We plug (0,0) into the equation to find b:

0=(8/3)*0+b

b=0

y=(8/3)x

Answer:

112 yd²

Step-by-step explanation:

Surface area of the square pyramid = area of base + perimeter of base × slant height

Area of base = s²

s = 4 yd

Area = 4² = 16 yd²

Perimeter = 4(s)

Perimeter = 4(4) = 16 yd

Slant height = 6 yd

Surface area of the square pyramid = 16 + 16 × 6

= 16 + 96

= 112 yd²

Answer:

below

Step-by-step explanation:

Clare's mistake was the writing of 4000 in standard form

he wrote 4 ×10²

instead of 4 ×10³

Answer:

Step 1

Step-by-step explanation:

I believe Claire's mistake is when she tries to simplify 4000

She says that 4000 = 4 × 10²

4000 is actually equal to 4 ×10³

Answer:

9656.06 meters

Step-by-step explanation:

Answer:

Area of triangles 1 = 18 ft²

Area of triangles 2 = 16 in²

Area of triangles 3 = 90 yd²

Step-by-step explanation:

Given:

1] Height of triangle = 4 ft

Base of triangle = 9 ft

2] Height of triangle = 4 in

Base of triangle = 8 in

3] Height of triangle = 12 yd

Base of triangle = 15 yd

Find:

Area of triangles

Computation:

Area of triangles = (1/2)(Base)(Height)

Area of triangles 1 = (1/2)(4)(9)

Area of triangles 1 = 18 ft²

Area of triangles 2 = (1/2)(4)(8)

Area of triangles 2 = 16 in²

Area of triangles 3 = (1/2)(12)(15)

Area of triangles 3 = 90 yd²

Answer:

1st quarter := 2488.23

2nd quarter = 1646.50

3rd quarter = 1893.98

4th quarter = 1152.93

Step-by-step explanation:

Forecast demand in the next four quarters

intercept ( a ) = 3116.67 - (- 168.25 * 6.5 ) = 4210.29

Slope ( b ) = ( 219041.15 ) - ( 12 * 6.5 * 3,116.67 ) / 650 - ( 12 * ( 6.5)^2 )

                 = -24059.11 / 143 = -168.25

Forecast demand = a + bt = 4210.29 + 168.25t  

1st quarter := 2488.23

2nd quarter = 1646.50

3rd quarter = 1893.98

4th quarter = 1152.93

Values calculated using data from table attached below ( table 2 )

Answer:

3,872.316

Step-by-step explanation:

Answer:

to nearest hundreds it would be: 3,900

Step-by-step explanation:

872 it closer to 900 than 800

9514 1404 393

Answer:

  9 years

Step-by-step explanation:

The simple interest formula is ...

  I = Prt

where I is the interest earned on principal P invested at annual rate r for t years. Solving for t, we have ...

  t = I/(Pr) = 1125/(2500×.05) = 1125/125

  t = 9 . . . . years

It will take 9 years for Anna to earn 1125 in interest.

Answer:

(y2-y1)/(x2-x1)

Step-by-step explanation:

The slope is the change in y over the change in x

(y2-y1)/(x2-x1)

where ( x1,y1) and (x2,y2) are two points on the line

Answer:

O  A.  [tex]\frac{y2-y1}{x2-x1}[/tex]

Step-by-step explanation:

This is just about how the Slope-Formula works

ok so you get two points off a graph then you use it to plot it in the Slope-Formula like this

for example imma go with (-2, 5) and (3, 7)

I need to subtract 7 - 5 / 3 - -2. so...

m = slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{7-5}{3--2}[/tex]        Only add the denominators when there's 2 - signs together

m = [tex]\frac{2}{5}[/tex]            

Answer:

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Step-by-step explanation:

Volume of a right circular cone:

The volume of a right circular cone, with radius r and height h, is given by the following formula:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Implicit derivation:

To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So

[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]

Radius is 107 in. and the height is 151 in.

This means that [tex]r = 107, h = 151[/tex]

The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.

This means that [tex]\frac{dr}{dt} = 1.1, \frac{dh}{dt} = -2.6[/tex]

At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.

This is [tex]\frac{dV}{dt}[/tex]. So

[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]

[tex]\frac{dV}{dt} = \frac{1}{3}(2(107)(151)(1.1) + (107)^2(-2.6))[/tex]

[tex]\frac{dV}{dt} = \frac{2(107)(151)(1.1) - (107)^2(2.6)}{3}[/tex]

[tex]\frac{dV}{dt} = 1926[/tex]

Positive, so increasing.

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Answer:

22 kg

Step-by-step explanation:

1297 cans * (17 grams)/(1 can) * (1 kg)/(1000 g) = 22.049 kg

Answer: 22 kg

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

- [tex] \large{ \boxed{ \tt{LIKE \: AND \: UNLIKE \: TERMS}}}[/tex]

[tex] \large{ \tt{❊ \: LET'S \: START}} : [/tex]

[tex] \tt{✺ \: BE \: IN \: LOVE \: WITH \: YOUR \: LIFE !\: ♪}[/tex]

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9514 1404 393

Answer:

  А. Зп > 9

Step-by-step explanation:

The inequality of A may or may not be true. (It is true only if n > 3.) All of the others are definitely false.