Calculus Ch. 1.2 Classwork Problems Evaluating limits Graphically

Answer:

Step-by-step explanation:

Area of a square = Length * Length

A = L²

Given the area of a square to be 172ft², to get the approximate length of each side of the square, we will substitute the area given into the formula above and calculate the value of L as shown;

[tex]A = L^2\\\\172 = L^2\\\\L^2 = 172\\\\[/tex]

take the square root of both sides;

[tex]\sqrt{L^2} = \sqrt{172} \\\\L = \sqrt{172} \\\\L = 13.11 ft\\\\L \approx 13.1ft[/tex]

Hence the  approximate length of each side of the square to the nearest tenth is 13.1 feet

Answer:

-8

Step-by-step explanation:

I've taken a picture of the way I solved the equation.

Answer:

2x + 8 = -14

Step-by-step explanation:

Twice​ x, plus 8 ​, is the same as -14.

2x + 8 = -14

Answer:

2x + 8 = -14

Step-by-step explanation

Because twice is 2 times and then you plus 8 i the same as -14

so 2 times= 2x then +8 so altoghther is 2x+8 and it says it's the same as -14

so the answer is 2x+8= -14

Brainly please!

Answer:

c= 48/5

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

1−15−(−5)

−14−(−5)

−9

Answer:

-15-(-5)

= - 15 +5 (Multiplying - and - we get a plus(+))

=-10 ( - stg + stg means to subtract and since 15 is greater than 5 and it's sign is - we should keep that)

an image please   because there is nothing explainign what you need                                                                                                                                                                  

Answer:

<   is less than

> is greater than

Step-by-step explanation:

<   is less than

> is greater than

so first we need to find the total number of crayons

to do that we're going to multiply 6 by 24 cause each box has 24 crayons

24 × 6 = 144

so the answer of total number of crayons is 144 crayons

next we're going to find the total number of paint brushes

to do that we're going to multiply 9 by 15 cause each package has 15 paint brushes

9 × 15 = 135

so the answer of total number of paint brushes is 135 crayons

finally we're going to calculate the difference

so its 144 crayons subtracted by 135 paint brushes

144 - 135 = 9

so the difference of total number of crayons and total number of paint brushes is 9

hope that helped :))

The difference between the crayons and the paintbrush the total. I just see which one is greater

if sum of any two angles 90 then they are called complementary

A +B =90 let the complement of A is B

4x+2 +B =90

B= 90-4x-2

B = 88-4x

complementary angle = B = 88-4x

♡Hope it helps♡

Answer:

3(n-9)-2(n+4)=6n

3n-27-2n-8=6n

n-35=6n

-35=5n

n= -7

Step-by-step explanation:

3(n-9)-2(n+4)=6n

open the brackets by multiplication

3n-27-2n-8= 6n

n-35=6n

n=-7

Answer:

9 weeks

Step-by-step explanation:

$12 times 8 weeks =$96. Since that is not enough to pay him back you have to add one more week $12 times 9 weeks to get $108.

Answer:

A. A syllogism

Step-by-step explanation:

The other 3 make no sense in this scenario, also I am in middle school make me brainlyest

Answer:

A syllogism.

Step-by-step explanation:

Note the 2 'middle' element b  are the same.

Answer:

x=-14

Step-by-step explanation:

Answer:

Use the interactive to solve the following problems:

What is the difference between –12 and –5?

✔ -7

What is the distance between –12 and –7 on a number line?

✔ 5

units

Step-by-step explanation:

The difference between -12 and -5 is 7.

The distance between -12 and -7 on a number line is 5 units.

""

1. The difference between -12 and -5 is

= (- 5) - (- 12)

= - 5 + 12

= 7

2. The distance between -12 and -7 on a number line is

= [(- 7) - (- 12)] units

= (- 7 + 12) units

= 5 units

Learn more about a number line here: https://brainly.com/question/13189025

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Answer:

210 pages

Step-by-step explanation:

7 pages = 10 minutes

A pages = 30 minutes

A = 210 pages

The student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A student can read 7 pages of a book in 10 minutes.

Let's suppose the student read x number of pages in 30 minutes.

Mathematically,

7 pages → 10 minutes

x pages →  30 minutes

7/x = 10/30

7/x = 1/3

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

x = 7×3

x = 21 pages

Thus, the student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.

Learn more about the fraction here:

brainly.com/question/1301963

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Answer:

≈ 0.39

Step-by-step explanation:

Area of circle:

Area of triangle:

Probability of the point within red shaded area:

Answer:

[tex]\huge\boxed{D) \ f^{-1}(x) = (x-3)^2+2}[/tex]

Step-by-step explanation:

[tex]f(x) = \sqrt{x-2} + 3[/tex]

Replace f(x) by y

[tex]y = \sqrt{x-2} + 3[/tex]

Interchange x and y

[tex]x = \sqrt{y-2} + 3[/tex]

Solve for y

[tex]x = \sqrt{y-2} + 3[/tex]

Subtracting 3 to both sides

[tex]x - 3 = \sqrt{y-2}[/tex]

Taking square on both sides

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

Adding 2 to both sides

[tex]y = (x-3)^2 + 2[/tex]

Replace [tex]y = f^{-1}(x)[/tex]

[tex]f^{-1}(x) = (x-3)^2+2[/tex]

Answer:

  8%

Step-by-step explanation:

If you subtract 1 times the original cost, the result is the tax rate:

  27/25 - 1 = tax rate = (27 -25)/25 = 2/25 = 8/100 = 8%

The tax rate is 8%.

Answer:

15 or -23

Step-by-step explanation:

I think you probably already turned this in but in case you haven't:

ST = 19 means that line segment ST is 19 units long. If we know that S is at -4, then T has to be 19 units away from -4, right?

So there's two directions we could go.

Add 19 to -4 to get 15, so T could be at 15. (If there's a line drawn between -4 and 15, it would be 19 units long.)

But the line could go left, towards negative infinity, too. So if we subtract 19 from -4, we'd get -23. T could also be at -23. (If there's a line drawn between -4 and -23, it would also be 19 units long. There's no such thing as a negative length.)

Please mark as Brainliest! :)

Answer:

[tex]f(2)=-7[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(t)=-t-5[/tex]

To find f(2), substitute 2 for t. Thus:

[tex]f(2)=-2-5[/tex]

Subtract:

[tex]f(2)=-7[/tex]

And, we're done!

Answer:

Sam is 15; Owen is 5.

Step-by-step explanation:

Let s denote Sam's age and let o denote Owen's age.

So, Sam is three times older than Owen. Thus:

[tex]s=3o[/tex]

In 5 years, Sam will be twice as old as Owen. In other words, Sam's current age plus 5 years will be Owen's current age plus five years times 2. Thus:

[tex]s+5=2(o+5)[/tex]

We have a system of equations. Solve for substituting the first equation into the second. Thus:

[tex]3o+5=2(o+5)[/tex]

Distribute the right:

[tex]3o+5=2o+10[/tex]

Subtract 2o from both sides:

[tex]o+5=10[/tex]

Subtract 5 from both sides:

[tex]o=5[/tex]

So, Owen is currently 5 years old.

Sam is 3 times older than Owen, so Sam is 15 years old.

And we're done :)

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

[tex] ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] Z(0, 5) = (x_1, y_1) [/tex]

[tex] Y(15, 5) = (x_2, y_2) [/tex]

[tex] ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2} [/tex]

[tex] AB = \sqrt{(15)^2 + (0)^2} [/tex]

[tex] AB = \sqrt{225 + 0} = \sqrt{225} [/tex]

[tex] AB = 15 [/tex]

Distance between X(15, 20) and Y(15, 5):

[tex] XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] X(15, 20) = (x_1, y_1) [/tex]

[tex] Y(15, 5) = (x_2, y_2) [/tex]

[tex] XY = \sqrt{(15 - 15)^2 + (5 - 20)^2} [/tex]

[tex] XY = \sqrt{(0)^2 + (-15)^2} [/tex]

[tex] XY = \sqrt{0 + 225} = \sqrt{225} [/tex]

[tex] XY = 15 [/tex]

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

Answer:

x = 17/6

Step-by-step explanation:

First of all remove parenthesis by using distribution

6x + 9 - 12x + 24 = 16

Then collect all like terms

-6x + 33 = 16

After that move the constant to the right

- 6x = 16 - 33

Calculate 16 - 33

-6x = -17

Divide both sides

x = 17/6

Hope this helps!

Answer:

9 kilograms

Step-by-step explanation:

Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

Step-by-step explanation:

-81

[tex] \sqrt{ - 1} \: \times \sqrt{81} [/tex]

[tex] \sqrt{ - 1} = i [/tex]

[tex]i \times \sqrt{9 {}^{2} } [/tex]

[tex]i \times 9[/tex]

[tex]9i[/tex]

Steps to solve:

2(42 - a) = 48

~Distribute left side

84 - 2a = 48

~Subtract 84 to both sides

-2a = -36

~Divide -2 to both sides

a = 18

Best of Luck!