How far up a house will an 18 foot ladder reach if the angle the ladder makes with the ground is 60˚?
(Round to the nearest tenth)

Answer:

27

Step-by-step explanation:

In this case, because we have a polynomial where all x-values exist, we can plug the value (x=2) straight into the function:

[tex]\lim_{x \to \ 2} (2x^3+x^2+7)[/tex]

[tex]= 2(2)^3+(2)^2+7[/tex]

[tex]= 2(8)+4+7[/tex]

[tex]= 27[/tex]

The limit of (2x^3+x^2+7) as x approaches 2 equals 27, which makes sense since the value of (2x^3+x^2+7) at x = 2 is 27.

Answer:

Looking Ahead to Calculus: Lessons 1-5 Quick Check Answers

Lesson 1

Q1 B. -21

Q2 D. 4

Q3 D. 4 (yes, again)

Q4 B. lim f(x) = 5 [x→3+] ;

D. lim f(x) = 6 [x→3-] ;

F. lim f(x) [x→3] does not exist...

Lesson 2

Q1 A. lim x = a [x→a] ;

B. lim a = a [x→a];

D. lim x = 5 [x→5]

Q2 D. 16

Q3 B. 10a

Q4 D. 3

Lesson 3

Q1 A. -1

Q2 D. 1

Q3 B. It is discontinuous because there is a value a for which f(a) is not defined.

Q4 D. It is discontinuous because there is a value a such that lim f(x) [x→a] does not exist.

Lesson 4

Q1 D. 3

Q2 A. -13

Q3 C. y = -2x + 6

Q4 C. f'(a) = 8a + 2

Lesson 5

Q1 C. 2

Q2 D. v(t) = 8t - 2

Q3 B. 902 mi./min.

Q4 A. The car is slowing down at a rate of 10 mi./h^2.

Have a great summer

Answer:

blank1 = earth    blank2 = 483.08 billion feet

Step-by-step explanation:

Answer:

− 3.7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Slope is -1

Step-by-step explanation:

Slope is always the number before the x in these equations.

(wish I could help you with the graphing- some of the points are: (2,1) (1,2) (3,0) (4,-1) (-1,4) )

(hope this helps!)

Answer:

40

Step-by-step explanation:

so first we need to figure out how many money did she save

50*20% = 10 dollars

so she saved 10 dollars

then 50-10=40

so she paid 40 dollars

Answer:

d, commutative property

Step-by-step explanation:

the commutative property states that the position and location of numbers in an equation can be swapped or moved, and the answer will remain the same. this only works for addition and multiplication, not subtraction and division.

Answer:

dbbxnxnznndn

Step-by-step explanation:

hdhhdhdhdjxmdk

Answer:

y =(-3/2)x

Step-by-step explanation:

(0,0) ; (2 , -3)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-3-0}{2-0}\\\\= \frac{-3}{2}[/tex]

Equation: y - y1 =m(x-x1)

y - 0 = [tex]\frac{-3}{2}(x- 0)\\[/tex]

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

Answer:

Step-by-step explanation:

1 yard is about 36 inches.

A square yard in square inches will therefore be:

= 36 * 36

= 1,296 inch²

He needs 497 square inches of gray fabric. In square yards that will be:

= 497/1,296

= 0.38 yard² of gray material

He needs 746 square inches of yellow:

= 746/1,296

= 0.58 yard² of yellow.

Answer:

x = 11

y = 3

Step-by-step explanation:

In a parallelogram opposite sides are equal.

8x = 88

x = 88/8

x = 11

4y - 7 = y + 2

4y      = y + 2 + 7

    4y = y + 9

4y - y = 9

       3y =  9

         y = 9/3

        y = 3

Answer:

18.85 inches

Step-by-step explanation:

Eq: 2πr

D/2=R

6/2=3 inches

2π3

=18.85 inches

OR

πd

6π

=18.85 inches

Answer:

You can make pancakes 15 times.

Step-by-step explanation:

Assuming you meant 2/3 cup and not 23! In that case the answer would be 15. Divide 10 by 2/3 to get there!

Answer:

3/8

Step-by-step explanation:

the answer is 3/8 because u are muliplying 1/2 and 3/4 and 1×3 is 3 and 2×4 is 8 3/8

Answer: x=7

Step-by-step explanation:

(5x-40)+7 = 2

5x-33 = 2

5x = 35

x = 35/5

x = 7

Answer:

x = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

5(x - 8) + 7 = 2

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 2 does indeed equal 2.

∴ x = 7 is the solution to the equation.

Answer:

6.5%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A negative times a negative will always be a postive

Answer:

m= -2/5

Step-by-step explanation:

formula:

m = (y2 - y1) / (x2 - x1)

Answer: Only B

============================================

Explanation:

For situation A,

The pairing (x,y) tells us what a certain student likes in terms of color.

For example, the point (Allen, Red) tells us that Allen likes the color red. We could also have (Allen, Green) telling us he also likes green. Because the input "Allen" maps to more than one output, this means situation A is not a function. A function is only possible if any given input maps to exactly to one output. The input must be in the domain. The domain in this case is the set of all students in the classroom.

In contrast, Situation B is a function because a student will only have one favorite math teacher. I'm interpreting this to mean "number one favorite" and not a situation where a student can select multiple favorites.

Answer:

divide the cost by the amount.

4.95/5 = 0.99

8.50/10 = 0.85 (better buy)

3.59/3 = 1.20

4.99/5 = 1.00 (better buy)

1.25/16 = 0.078125

1.55/20 = 0.0775 (this one is the better buy however when you round to 2dp they are both the same price of 0.08.)

Answer:

720 feet

A yard is equivalent to 3 feet, so 1 yard = 3 feet.

240 yards * 3 = 720 feet

Step-by-step explanation:

Answer:

240 yards=720feet

Step-by-step explanation:

Answer:

$1032.60

Step-by-step explanation:

Given data

salary = $950 every two weeks

tax rate = 8%

let the initial pay be x

and let the pay after tax deduction be p

p= x-8/100x

Hence the equation for his pay is

[tex]p=x-0.08x-------------1[/tex]

subsitute

950=x-0.08x

950= 0.92x

divide both sides by 0.92

x= 950/0.92

x=$1032.60

The employee make $1032.60 every two weeks before taxes

Answer:

$4.50

Step-by-step explanation:

Okay, this is a standar unit rate problem, so our equation is:

18 ÷ 4 = 4.5

So 1 pizza costs $4.50

Answer:

Slope=-2  Y-Intercept= (0,5)

Step-by-step explanation:

Answer:

666666666666666666666666666666675915730995

.

Step-by-step explanation: