Please help me :):)):):

Answer:

400 millimeters is the answer.

Answer:

1400 millimeters.

Step-by-step explanation:

Answer:

(a) The table

[tex]\begin{array}{cc}x & {f(x)} & {0} & {0} & {1} & {7}& {2} & {12} & {3} & {15} & {4} & {16} & {5} &{15} & {6} & {12} & {7} &{7} & {8} & {0}\ \end{array}[/tex]

(b) See attachment for graph

(c) He swapped the values of the x and y coordinates for one another

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): Complete the table

[tex]f(x) = -x^2 + 8x[/tex]

[tex]x = 0[/tex]:   [tex]f(0) = -0^2 + 8*0 = 0 + 0 = 0[/tex]

[tex]x = 1[/tex]:   [tex]f(1) = -1^2 + 8*1 = -1 + 9 = 7[/tex]

[tex]x = 2[/tex]:   [tex]f(2) = -2^2 + 8 *2 = -4 + 16 = 12[/tex]

[tex]x = 3[/tex]:   [tex]f(3) = -3^2 + 8 *3 = -9 + 24 = 15[/tex]

[tex]x = 4[/tex]:  [tex]f(4) = -4^2 + 8 *4 = -16 + 32 = 16[/tex]

[tex]x = 5[/tex]:  [tex]f(5) = -5^2 + 8 *5 = -25 + 40 = 15[/tex]

[tex]x = 6[/tex]:  [tex]f(6) = -6^2 + 8 *6 = -36 + 48 = 12[/tex]

[tex]x= 7[/tex]:  [tex]f(7) = -7^2 + 8 *7 = -49 + 56 = 7[/tex]

[tex]x = 8[/tex]:  [tex]f(8) = -8^2 + 8 *8 = -64 + 64 = 0[/tex]

So, the complete table is:

[tex]\begin{array}{cc}x & {f(x)} & {0} & {0} & {1} & {7}& {2} & {12} & {3} & {15} & {4} & {16} & {5} &{15} & {6} & {12} & {7} &{7} & {8} & {0}\ \end{array}[/tex]

Solving (b): Plot the graph

See attachment 2 for graph

Solving (c): Why he was marked as incorrect

By comparing the new attached graph (in b) and the graph of the original question, one will notice that the values of the x and y coordinates are switched.

This is why he was marked as incorrect.

Answer:

pt2 hope it helps

Step-by-step explanation:

Answer:

100 hours

Step-by-step explanation:

To find the amount of liters in one hour, you divide 10 by 1000, which gives 0.01 liters each hour. From here, the 1 is in the hundredths place, so if you multiply by 100 hours, if will be at 1 liter.

Answer:

a brand x = 13 (median ) brand y = 16 median

Answer:

A) Median value is depicted on a box plot by the vertical line that divides the rectangular box. Therefore: Median value for Brand X = 13 and Median value for Brand Y = 16. B) Brand Y has a higher median value (16) than Brand X (13). This implies that brand Y has a battery life that last longer than brand X.

Answer:

Area of Shaded Region; 6.25π square inches

Good luck <3

Answer: 19.625in

Step-by-step explanation:

Answer:

0.58

Step-by-step explanation:

Answer:

She'll lose 21 games out of 35. But she'll win 14 lol

All I did was see how many fives go into 35, and that's 7. So 3 (how many games she loses per 5 games) times 7 is 21.

Answer:

2^8 = 256 choices

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It the only one that make sense

Answer:

14 sections

Step-by-step explanation:

I think I'm correct but if I'm wrong tell me right away I'll try again.

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

Answer:

V = π r^2 h = π · 10^2 · 15 ≈ 4712.38898

Answer:

C ≈ 236

Step-by-step explanation:

Formula

Using the formulas

C=2πr

d=2r

Solve

Solving for C

C = πd = π· 75 ≈ 235.61945

C ≈ 235.62

To  the nearest hundredth.

C ≈ 236

Answer:

[tex]3x = 84 - 2y - - - (i) \\ 9x = 8y - 24 - - - - (ii) \\ from \: (ii) \\ 3(3x) = 8y - 24 \\ but \: from \: (i) \: \: 3x = 84 - 2y \\ hence \: put \: (i) \: in \: (ii) \\ 3(84 - 2y) = 8y - 24 \\ 252 - 6y = 8y - 24 \\ 276 = 14y \\ y = \frac{138}{7} \\ x = \frac{104}{7} [/tex]

Answer:

a) 24

b) 12

Step-by-step explanation:

a) For the 4 letters of the word ROCK

Selecting any first letter, we have 4 options

for the second, we have 3 options

for the third we have 2 options

for the fourth, we have only one option

So the number of ways will be ;

4 * 3 * 2 * 1 = 24 ways

b) 2 out of 4

For the first letter, we have 4 options, for the second, we have 3 options

so the number of options is 4 * 3 = 12 options

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

           = [tex]\frac{x}{d}[/tex]

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is [tex]30^{o}[/tex], and the height of the tree is 10 m, then the distance, d, across the river would be;

d = [tex]\frac{10}{0.5774}[/tex]

  = 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

Answer:

x = -2

Step-by-step explanation:

6x - 1 = 4x - 5

Bring like terms together

6x - 4x = 1 - 5

2x = -4

-4 / 2 = -2

Answer:

A

Step-by-step explanation:

82 inches! 6 feet is 72 inches. 12*6

Answer:

8.9

Step-by-step explanation:

8^2+ s^2=12^2

64+s^2=144

s^2=80

s=square root of 80

s=8.9

Answer:

Step-by-step explanation:

Using the exponential growth function for the U. S. population from 1970 through 2003:

A = 205.1e^0.011t

with the U.S. population being 205.1 million in 1970, when would the U. S. population reach 350 million?

A.

2028

B.

2048

C.

2018

D.

2038

We have the expression

A = 205.1e^0.011t

We are asked to find when would the U. S. population reach 350 million

A = 350

350 = 205.1e^0.011t

We divide both sides by 205.1

Divide both sides by 205.1

350/205.1 = 205.1e^0.011t/205.1

1.7064846416 = e^0.011t

We take the log of both sides

log 1.7064846416 = log e^0.011t

log 1.7064846416 = t log 0.011

t = log 1.7064846416/ log 0.011

t = 0.1185057826

Answer: is it c?

Step-by-step explanation:

Answer:

I think C is your answer.

Step-by-step explanation:

The events are independent because the outcome of one does not affect the outcome of the other one.

Answer:

8x + 5y = 14

Step-by-step explanation:

Answer:

The answer is 10 quarters and 15 nickels

Step-by-step explanation:

Lets say x equals the number of quarters and y quals the number of nickels. Since there is a total of 25 coins that means that x+y=25. But, the quarter costs 0.25, and the nickel costs 0.05. That means that we have to multiply the number of each coin with their cost. Which leads us to: (x*0.25)+(y*0.05)=3.25. By solving these two equations you'll see that x=10 and y=15.

Answer:

v= 452.2 cm^3 or 452.2 mL

Step-by-step explanation:

v= pi(r)^2h

v=pi(4)^2(9)

v=452.2 cm^3

Answer:

108

Step-by-step explanation: