Expand the following expression by using the distributive property method

Answer:

(-4 - 2)

Step-by-step explanation:

-8 (1/2 + 1/4) = -6/1  = -6

-4 - 2 = -6

Answer: [tex]19.31\ ft[/tex]

Step-by-step explanation:

Given

The tower is at a height of [tex]h=20\ ft[/tex]

the angle of depression is [tex]15^{\circ}[/tex]

Suppose the surfer is x ft away from the base of the tower

[tex]\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft[/tex]

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.

Answer:

6

Step-by-step explanation:

the top and the bottom line on the squares and with the top and the bottom line on both of the arrows

The required number of lines of symmetry the given figure holds is 2.

A line of symmetry is a line that divides a shape into two mirror images that are identical to each other. If a shape has a line of symmetry, it means that one-half of the shape is a reflection of the other half across the line of symmetry.

For example, a square has four lines of symmetry, because it can be divided into four identical mirror images. A rectangle has two lines of symmetry, one horizontal and one vertical because it can be divided into two identical mirror images.

Following the above example, in the given scenario, the figure has only 2 lines of symmetry.

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Answer:

I think the answer would be D. 20 hope it helps

Step-by-step explanation:

Answer:

x = -11 5/17

Step-by-step explanation:

3x + 2y = 12

2x - 3y = -57

5x + y =  -45

y = -5x - 45

2x - 3 (-5x - 45) = -57

2x + 15x + 135 = -57

17x + 135 = -57

17x = -192

x = -11 5/17

Answer:

he bought 12 pencils

Step-by-step explanation:

20 - 5.12 = 14.88

14.88 / 1.24 = 12

Answer:

[tex]he \: give \: 20 \: to \: cashier \: and \: recieve \: 5.12 \\ so \: 20 - 5.12 = 14.88 \\ 1.24per \: pencil \: h e \: buy \: x \: penil \: then \\ x \times 1.24 = 14.88 \\ x = \frac{14.88}{1.24} = 12 \\ 12 \: number \: of \: pencil \: \\ thank \: you[/tex]

Answer:

4/7 = 8/14

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]

cross multiply

8x = 14 x 4

8x = 56

x = 7

Answer: 6472

Step-by-step explanation:

You have to multiply and add

Answer:

1: True, 2: False

Step-by-step explanation:

With the first one, probability by defintion is the odds of if an event will happen or not, so it is true.

With the second one, it is false as if something is for sure going to happen, it will have a 100% or "1" chance of occurring. If it has a 1% chance of occuring, it would be 0.01.

Step-by-step explanation:

a.) you have to substitute f(5) into the formula

f(x) = 3x^2 + 5

you do this by inserting five into your x :

f(x) = 3x^2 + 5

f(5) = 3(5^2) + 5

= 3(25) + 5

= 75 + 5

f(5) = 80

b.) to solve for g(5) ,, you do the exact same but with the formulae g(x) = 11x - 10

g(x) = 11x - 10

g(5) = 11(5) - 10

= 55 - 10

g(5) = 45

. we can see that f(5) is the greater quantity ,, furthermore it is greater by 35 . =

f(5) = 80 g(5) = 45

80 - 45

= 35

Answer:

5 2/3

Step-by-step explanation:

:)

it would be A. 5 and 2/3

brainliest..

Answer: 500

Step-by-step explanation:

Given

The radius of the wheel is [tex]r=35\ cm\ or\ 0.35\ m[/tex]

Distance covered by wheel [tex]d=1100\ m[/tex]

Distance covered in one revolution is equal to the circumference of the wheel

Circumference of the wheel is [tex]2\pi r[/tex]

Insert the values

[tex]\Rightarrow 2\pi \times 0.35\\\Rightarrow 2.2\ m[/tex]

No of revolution is given by

[tex]\Rightarrow \dfrac{1100}{2.2}=500[/tex]

Thus, 500 revolutions is required.

Answer:

4

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

it has 15.95 and only 1 16.00 :D

Answer:

A (8.1 x 10^10)

Step-by-step explanation:

1. 1 billion is 1,000,000,000 or 10^9

2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10

3. Thus, the answer is 8.1 x 10^10

Answer:

8.1 × 10^10

:)

Answer:

The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].

Step-by-step explanation:

A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].

Answer:

1.465 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 per year,

Then, to solve for time t, when compound interest is compounded continuously, the formula is given as:

t = ln(A/P) / r

Where

A = Amount after time t = $5,789.00

P = Principal = Initial amount = $5,00

r = 0.1

Hence,

t = ln(5,789.00/5,000.00) / 0.1

t = 1.465 years

Therefore, the money was in the account for 1.465 years

Answer:

I think the first one is 5200 and the second one is 3

Answer:

y= 5x + 100

Step-by-step explanation:

Hope this helps out! :)

Answer:

The sum of complementary angles is 90 degrees.

Step-by-step explanation:

Answer:

4x+50=90

4x=40

x=10

Step-by-step explanation:

good luck

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

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

[tex]\displaystyle y' = \frac{1}{2}[/tex]

Step 2: Differentiate

Step 3: Solve

Find coordinates

x-coordinate

y-coordinate

∴ Coordinates of Point N is (4, 1).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

1 1/5 in fraction form :))

The ratio of red squares to blue squares is 3 : 7

The ratio of blue squares to total squares is 7 : 10

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

The number of red squares = 15

The number of blue squares = 35

Now , the total number of squares is N = 50 squares

a)

The ratio of red squares to blue squares is = number of red squares / number of blue squares

The ratio of red squares to blue squares is = 15 / 35

The ratio of red squares to blue squares is = 3 : 7

b)

The ratio of blue squares to total squares is = number of blue squares / total number of squares

The ratio of blue squares to total squares is = 7 : 10

Hence , the proportion is solved

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The complete question is :

A quilt is made of 15 red squares and 35 blue squares. Find the ratio, in lowest terms of:

a) The ratio of red squares to blue squares

b) The ratio of blue squares to total squares

Answer:

Whats the question and if its adding the answer is 790.12

Step-by-step explanation:

Also, if you could answer my question that'dd be great!