A fireman has a ladder that is 13 feet
long. If he wants to reach a window
that is 12 feet above the ground, how
far from the wall should he put the
bottom of his ladder?

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

Answer:

2^8 = 256 choices

Step-by-step explanation:

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:

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: is it c?

Step-by-step explanation:

Answer:

I think C is your answer.

Step-by-step explanation:

Step-by-step explanation:

he answered seven of the multiple choice questions and answered one of the true or false questions that is;

7×2+1=14

The ordered pair is a solution is (2, 6).

Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.

The correct option is (B).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x + 2y = 14............(1)

x + y = 8

x = 8 - y.................(2)

Solving equation (1) and (2), we get

8 - y + 2y = 14

y + 8 = 14

y = 14 - 8

y = 6

and, x + y = 8

x + 6 = 8

x = 8 - 6

x = 2

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Answer:

Area of Shaded Region; 6.25π square inches

Good luck <3

Answer: 19.625in

Step-by-step explanation:

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:

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

9514 1404 393

Answer:

  y = -3x^2 -9x +30

Step-by-step explanation:

When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...

  f(x) = (x +5)(x -2)

At the point x=3, the value of this product is ...

  f(3) = (3 +5)(3 -2) = (8)(1) = 8

In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...

  y = -3(x +5)(x -2)

  y = -3x^2 -9x +30 . . . . . standard form

Answer:

pt2 hope it helps

Step-by-step explanation:

Answer:

400 millimeters is the answer.

Answer:

1400 millimeters.

Step-by-step explanation:

Answer:

8x + 5y = 14

Step-by-step explanation:

Answer:

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

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) 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:

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:

a=23 b=12 c=12/23

Step-by-step explanation:

I just did it on EDG, got it wrong so i could give you the answer XD

The likelihood that a randomly chosen consumer on plan B would text on the phone the most frequently is 13/23.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

According to the given data,

Number of customers on plan B = 13 + 10 = 23

Number of customers on plan B who text = 13

P(text|plan B) = P(text and plan B) / P(plan B),

where P(text and plan B) is the probability of a customer being on plan B and texting, and P(plan B) is the probability of a customer being on plan B, can be used to calculate the likelihood that a randomly chosen customer on plan B will text the most.

So,

P(text|plan B) = 13/23

Therefore, the probability that a randomly selected customer who is on plan B uses the phone most often to text is 13/23.

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Answer:

A

Step-by-step explanation:

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

Answer:

B

Step-by-step explanation:

It the only one that make sense

Answer:

0.58

Step-by-step explanation:

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:

[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:

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:

(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:

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:

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:

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