Option 3
Option 4
A tree house is 10 feet up in a tree. A ladder that leans against the tree and
leads to the tree house door is 12 feet long. How far away from the base of
the tree is the bottom of the ladder? Draw a picture and solve. Round your
answer to the nearest tenth.

Answer:

Variables

Any lowercase letter may be used as a variable.

Exponents

Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses.

Parentheses and Brackets

Parentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression.

Multiplication, Addition, and Subtraction

For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).

Order of Operations

The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not currently supported; attempts to use the / symbol will result in an error.

Division, Square Root, Radicals, Fractions

The above features are not supported.

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

(-∞, ∞) is the range of the function y = f(x) = x/2 + 8.

A relation is a function if it has only One y-value for each x-value.

The function y = f(x) = x/2 + 8 is a linear function with slope 1/2 and y-intercept 8.

As x varies from negative infinity to positive infinity, the value of f(x) also varies from negative infinity to positive infinity.

Therefore, the range of the function is all real numbers, that is:

y ∈ (-∞, ∞)

In interval notation, this can be written as (-∞, ∞)

Hence, (-∞, ∞) is the range of the function y = f(x) = x/2 + 8.

To learn more on Functions click:

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#SPJ7

Answer:

D: $1,858.08

Step-by-step explanation:

if u add $1,329.64 and $528.44 then you get $1,858.08

Answer:

(x+2)^2=6(y-1/2)

Step-by-step explanation:

Answer:

The answer is 88.

Step-by-step explanation:

68+81+74+89+x/5=80

312+x/5=80

312+x=80*5

312+x=400

x=400-312

x=88

Answer:

88

Step-by-step explanation:

The mean is the total sum of all the marks divided by how many there are.

68+81+74+89=312 Total of 4 tests

80×5 = 400 Total marks on 5 tests

400-312 = 88 Total marks on 5 tests - Total marks on 4 tests = 1 test

68+81+74+89+88 = 400

Answer:

Answer A

Step-by-step explanation:

16 / 4 = 4

36 / 9 = 4

64 / 16 = 4

Note that the symbol / is the equivalent of the division sign in math.

Answer:

A <3

Step-by-step explanation:

Answer:

Triangle

Step-by-step explanation:

Pls mark as brainliest

Answer:

triangle

Step-by-step explanation:

The rectangle and arrow both have right angles, so they are crossed out. The pentagon has obtuse angles, so it is also not the answer

Answer:

y

Step-by-step explanation:

Associative property is when we change the order of the bracket / can solve any order

So 1/3(3y)

= (1/3x 3)y

= 3/3y

= 1y or simply y

Answer: It starts at 2.5, and ends at 8.5.

Step-by-step explanation:

Answer:

range = 6

Step-by-step explanation:

The range = maximum value - minimum value

maximum value = 8.5 and minimum value = 2.5 ( indicated by the dots )

range = 8.5 - 2.5 = 6

Answer:

B

Step-by-step explanation:

hexagonal pyramid

6 SIDES,

A PYRAMID

Answer:

Hey love, be sure to add a photo! i will edit my answer once you do so :D

Answer:

His profit from mowing x lawns is 19x-15

Step-by-step explanation:

Revenue for mowing x lawns = 25x

Cost for gas and the mower rental = 6x+15

We are supposed to find His profit from mowing x lawns

p(x) denotes His profit from mowing x lawns

Profit = Revenue - Cost

So,p(x)=25x-(6x+15)

p(x)=25x-6x-15

p(x)=19x-15

So, Option B is true

Hence His profit from mowing x lawns is 19x-15

Answer:

Step-by-step explanation:

volume of cylinder =[tex]\pi r^{2} h[/tex]

=3.14 * 2*2*8

=3.14*32

=100.48 cubic in

hope it helps .....

The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.

Since the height of 8in and a base radius of 2in,

So here the following formula should be used

We know that

Volume of the cyclinder

[tex]= \pi r^2h\\\\= 3.14\times 2\times 2\times 8\\\\[/tex]

= 100.48 cubic inches.

hence, The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.

Learn more about volume here: https://brainly.com/question/14010084

Answer:

6 3/4 miles

Step-by-step explanation:

We can use ratios to solve

20.25 miles         x miles

------------------ = ------------

3 hours              1 hours

Using cross products

20.25 * 1 = 3x

Divide each side by 3

20.25 /3 = x

6.75 = x

Changing to a fraction

6 3/4

Answer:

The total payment is $162.00

Step-by-step explanation:

Take the number of shares time the amount per share

300 * .54

162

The total payment is $162.00

Answer:

Oscar walked at the same rate for distance D =  10.5 miles.

He  completed his walk in time T = 3 hours.

=>Oscar's rate, in miles per hour, during his walk:

R = D/T = 10.5/3 = 3.5 (mile/hour)

Hope this helps!

:)

Answer:

The equations are:

[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]

Step-by-step explanation:

The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between [tex]2 + \frac{4}{100}*2[/tex] and [tex]2 - \frac{4}{100}*2[/tex] are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:

[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]

Answer:

20%

Step-by-step

60/x%=12

12 is 1/5 of 60

1/5=20%

Answer:

Histogram

Step-by-step explanation:

A histogram because it's more appropriate to calculate numbers like these. Unfortunally I can't make a whole graph for you tho but if you want an example of histogram this is one

Answer:

C

Step-by-step explanation:

The table shows that Sara earns 4 dollars per hour. The equation shows that Abbey earns 5 dollars per hour.

I hope that helps. If there are any questions left, just comment:)

Please mark me brainliest (it gets you 10 points back btw)

The value of X is 22

look at the attached picture

Hope it will help you

Good luck on your assignment

The value of x in the equation is 22.

In order to determine the value of x in the equation, take the following steps:

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Answer:

c. the dangerous and aggressive expansion of totalitarian nation

Step-by-step explanation:

Answer with Step-by-step explanation:

We are given that a function

[tex]f(x)=x^3-x^2-17x-15[/tex]

We have to find the graph of the given function.

y-intercept:It is that  value of y where the graph cut the y- axis.

Let

[tex]y=f(x)=x^3-x^2-17x-15[/tex]

Substitute x=0

Then, we get

[tex]f(0)=-15[/tex]

y-intercept of the graph=-15

x- intercept: It is that value of x where the graph cut the x- axis.

Substitute y=0

[tex]x^3-x^2-17x-15=0[/tex]

Substitute x=-1

[tex]-1-1+17-15=0[/tex]

Therefore,x=-1  is a solution of given equation.

[tex](x+1)(x^2-2x-15)=0[/tex]

[tex](x+1)(x^2-5x+3x-15)=0[/tex]

[tex](x+1)(x(x-5)+3(x-5))=0[/tex]

[tex](x+1)(x+3)(x-5)=0[/tex]

[tex]\implies x=-1,-3,5[/tex]

Hence, the x-intercept are

-3,-1 and 5

Answer:b on edg 2020

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: Each friend will pay £3.75

Step-by-step explanation:

4 friends pay £15, 12 will pay

12/4 x 15 = £45

Each will pay 45/12 = £3.75

Answer:

a. [tex]\frac{(x-7)}{x^2+x-30}[/tex]

Step-by-step explanation:

[tex]\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}[/tex]

Answer:

150

Step-by-step explanation:

As the ratio is 5:3 ,

Number of boys / number of girls = 5 / 3

250 / number of girls = 5 / 3

Number of girls = 250 × 3/5

Number of girls = 150

Answer:

h(-2) = 1

Step-by-step explanation:

h(t)=t^2+2t+1

h(-2) = (-2)^2 +2(-2) +1

       = 4 -4 +1

      = 1

Answer:

-12

Step-by-step explanation:

Answer:

78 inches.

Step-by-step explanation:

By definition, a foot is equal to 12 inches. That is modeled by the equation you wrote, y = 12x, where x is the amount of feet.

Substitute 6.5 for x. y = 12*6.5 = 78 inches.

I hope this helps!