90 gallons increased by 130%
those are the answers and it’s not 117

Given:

The data table is given.

The equation of trend line is:

[tex]y=2x+15[/tex]

To find:

Values for residual table.

Solution:

Formula for residual:

[tex]Residual=\text{Observed value}-\text{Predicted value}[/tex]

The equation of trend line is:

[tex]y=2x+15[/tex]                ...(i)

Substituting [tex]x=5[/tex] in (i), we get

[tex]y=2(5)+15[/tex]

[tex]y=10+15[/tex]

[tex]y=25[/tex]

The value of y from the table at [tex]x=5[/tex] is 25. So,

[tex]Residual=25-25[/tex]

[tex]Residual=0[/tex]

Similarly,

Substituting [tex]x=6[/tex] in (i), we get

[tex]y=2(6)+15[/tex]

[tex]y=12+15[/tex]

[tex]y=27[/tex]

The value of y from the table at [tex]x=6[/tex] is 28. So,

[tex]Residual=28-27[/tex]

[tex]Residual=1[/tex]

Substituting [tex]x=7[/tex] in (i), we get

[tex]y=2(7)+15[/tex]

[tex]y=14+15[/tex]

[tex]y=29[/tex]

The value of y from the table at [tex]x=7[/tex] is 29. So,

[tex]Residual=29-29[/tex]

[tex]Residual=0[/tex]

Substituting [tex]x=8[/tex] in (i), we get

[tex]y=2(8)+15[/tex]

[tex]y=16+15[/tex]

[tex]y=31[/tex]

The value of y from the table at [tex]x=8[/tex] is 30. So,

[tex]Residual=30-31[/tex]

[tex]Residual=-1[/tex]

Substituting [tex]x=9[/tex] in (i), we get

[tex]y=2(9)+15[/tex]

[tex]y=18+15[/tex]

[tex]y=33[/tex]

The value of y from the table at [tex]x=9[/tex] is 32. So,

[tex]Residual=32-33[/tex]

[tex]Residual=-1[/tex]

Therefore, the complete residual table is:

x                 :          5            6             7             8             9

Residuals  :          0             1             0             -1            -1

Answer:

to find the perimeter of this we use the theorem

a^2+b^2=c^2

so if we count we know

A=4

B=5 so

16+25=41

so we find the square root of 41 which is 6.4

so we add 4+5+6.4=15.4

so the answer is D

Hope This Helps!!!

Answer:

D. f(x) is shifted up 1 unit to g(x).

Step-by-step explanation:

Just let's look at the y-intercept of each function.

f(0) = 0

g(0) = 1

Also remember that a vertical shift of N units is written as:

g(x) = f(x) + N

where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.

then we can write, for the particular value x = 0

g(0) = f(0) + N

replacing the values

1 = 0 + N

1 = N

Then N is positive, so we have a shift up of one unit.

The correct option is:

D. f(x) is shifted up 1 unit to g(x).

Answer:

false

Step-by-step explanation:

1+2/5 = 5/5 + 2/5 = 7/5

Answer:

$8.6

Step-by-step explanation:

The total tax is 8 dollars and 60 cents

Answer:

$153.70

Step-by-step explanation:

Sales tax is applied to things that are sold by a retailer. So if it says 6% tax is levied on the item, that means the total cost will be the initial cost of skateboard ($145) + sales tax (6% of 145)  = 145 + 8.7 = $153.70

Answer:

383.8   =  383.8

Step-by-step explanation:

665.5-281.7   ?   373.8

383.8   =  383.8

Answer:

Amount of red paint needed for 1500 ml yellow paint = 400 ml

Step-by-step explanation:

Given:

ration of red paint to yellow paint = 4 ml to 15 ml

Find:

Amount of red paint needed for 1500 ml yellow paint

Computation:

Amount of red paint needed for 1500 ml yellow paint = [ration of red paint to yellow paint]1500

Amount of red paint needed for 1500 ml yellow paint = [4/15]1500

Amount of red paint needed for 1500 ml yellow paint = [4]100

Amount of red paint needed for 1500 ml yellow paint = 400 ml

Answer:

the value of x is 50°mark the brainliest plzz

Answer:

Step-by-step explanation:

Remember :

1.if the two angles ae co interior angles their sum must be 180 degree.

2.If the two angles are corresponding angles they must be equal.

3.If the two angles are alternate interior or also said as alternate angles then they must also be equal.

4.If two angles are vertically opposite angles then they must be equal.

5.If two angles are alternate exterior angles then they must be equal.

Answer:

Word problem that matches the equation "6w = 42"

Word problem :

If you multiply 6 times number 'w' , you get the answer as 42

Step-by-step explanation:

equation :

6w = 42

Solving :

• 6w = 42

• w = 42÷6

• 42÷6 = 7

so,

w = 7

Answer:

The answer is 3/5

Step-by-step explanation:

The amount of balloon to be given away= 1/5

The number of friends to

receive the balloon = 3

Therefore the total fraction of balloons that he gave away = 1/5 × 3

=3/5

Answer:

P= $29  and D = -$30

Step-by-step explanation:

4D + 5P = $25

5P = $25 - 4D

P = ($25 - 4D)/5            equation(i)

Noe substitute the value of P

3D + 4P = $26

3D + 4($25 -4D)/5 = $26

3D*5 + ($100 -16D)/5 =$26*5

15D + $100 - 16D =$130

-D = $130 - $100

D = -$30

Again substitute the vale of D in equation(i)

P = ($25 + 4D)/5

=$25 + 4*$30/5

=$25 + $120/5

=-$145/5

=$29

Answer:

P = 29, D = - 30

Step-by-step explanation:

Given the 2 equations

4D + 5P = 25 → (1)

3D + 4P = 26 → (2)

Multiplying (1) by 3 and (2) by - 4 and adding the result will eliminate D

12D + 15P = 75 → (3)

- 12D - 16P = - 104 → (4)

Add (3) and (4) term by term to eliminate D

0 - P = - 29

- P = - 29 ( multiply both sides by - 1 )

P = 29

Substitute P = 29 into either of the 2 equations and solve for D

Substituting into (1)

4D + 5(29) = 25

4D + 145 = 25 ( subtract 145 from both sides )

4D = - 120 ( divide both sides by 4 )

D = - 30

Answer:

y = -1/4 x+11/16

Step-by-step explanation:

The slope intercept form of a line is

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

y = -1/4x+b

Substitute the point in for x and y

1 = -1/4(-5/4) +b

1 = 5/16 +b

16/16 = 5/16 +b

Subtract 5/16 from each side

11/16 = b

y = -1/4 x+11/16

Answer:

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]

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 = - [tex]\frac{1}{4}[/tex] , then

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute ( - [tex]\frac{5}{4}[/tex], 1 ) into the partial equation

1 = [tex]\frac{5}{16}[/tex] + c ⇒ c = 1 - [tex]\frac{5}{16}[/tex] = [tex]\frac{11}{16}[/tex]

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]

Answer:

x = 11

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side

15x + 15 = 180 ( subtract 15 from both sides )

15x = 165 ( divide both sides by 15 )

x = 11

Answer:

????? sus

Step-by-step explanation:

sussy baka????

among sus

Answer:

The inequality shown is 5.

Step-by-step explanation:

It's just asking for the inequality so you can basically just add the distance like 4 + 5 = 9.

Answer:

4

Step-by-step explanation:

6 times 12 is 72

72 divided by 18 is 4

Answer:

y + 1 = 6(x - 6)

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-1) / 5 - 6

-6/-1

= 6

y + 1 = 6(x - 6)

Hope this help!!!

Have a nice day!!!

Answer:

Central angle = 98 degrees

Step-by-step explanation:

Radius (r) = 10 Arc length = 49[tex]\pi[/tex]/9

Let 0 be the central angle

Arc Length = 2[tex]\pi[/tex]r0/360

49[tex]\pi[/tex]/9 = 2[tex]\pi[/tex]r0/360

49[tex]\pi[/tex]/9 = [tex]\pi[/tex]x0/18

49[tex]\pi[/tex]/9 x 18/[tex]\pi[/tex] = 0

0 = 49x2

0 = 98 degrees

Answer:

A B

Additive Identity (x) x + 0 = x

Additive Inverse (x) b + (-b) = 0

Multiplicative Identity (x) x • 1 = x

Multiplicative Inverse (x) x • (1/x) = 1

Answer:the left one

Step-by-step explanation:

Step-by-step explanation:

LCM of 20 and 40 is 40

So,

60/40+30/40

90/40.... Answer

hope it helps

Answer:

100

Step-by-step explanation:

Answer:

[tex]x = \frac{16}{3} [/tex]

Step-by-step explanation:

Solve the equations:

[tex]4x \: 2 - 5x = 16[/tex]

Multiply the monomals:

[tex]8x - 5x = 16[/tex]

Combine like terms:

[tex]3x = 16[/tex]

Divide both sides of the equation by the coefficient of variable:

[tex]x = 16 \div 3[/tex]

Calculate:

[tex]x = \frac{16}{3} [/tex]

Answer:

;)))

Step-by-step explanation:

Answer:

25 percent is the answer to your question.

Answer:

f(x) = (x + 20)(x - 24)(x + 10)(x + 12)

Step-by-step explanation:

This is an equation of degree 4 and as the beginning of the graph descends from negative x the polynomial will have a positive leading coefficient. The graph is roughly W shaped.

It also has zeroes at x = -20,-12 ,-10 and x = 24.

So it is the first option.