How are integers and rational
numbers different?

Answer:

The weight of the sea water in the aquarium is 3827.119 lb

Step-by-step explanation:

We start by calculating the volume of the aquarium

Since it is a cuboid, the volume will be L * B * H

= 4.4 * 2.5 * 5.3 = 58.3 ft^3

Mathematically;

Mass = density * volume

The density of sea water is 63.93 lb/ft^3

Mass = 63,93 * 58.3 = 3,827.119 lb

Answer: 4^3, and 5^2. This is the answer.

Step-by-step explanation:

Answer:

The second one is (3 x 3 x 3 x 3) x (3 x 3)

Step-by-step explanation:

Answer:

9.5 in

Step-by-step explanation:

The receiver is placed at the focus of the parabola at a distance of 1/4a from the vertex. Here that would be 1/(4*(1/38)) or 38/4 inches or 9.5 in

The receiver lies 9.5 inches far from the vertex of the cross-section.

Given that,
The cross-section (with units in inches) of a parabolic satellite dish can be modeled by the equation y=1/38 x².
To determine how far is the receiver from the vertex of the cross-section.

A parabola is a cross-section cut out of the cone and represented by an equation, y =4ax².

Here,
The receiver is located near the parabola's focus, 1/4a away from the vertex. That would be 1/(4×(1/38)) or 38/4 inches or 9.5 in. in this case.

Thus, the receiver lies 9.5 inches far from the vertex of the cross-section.

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Answer:

x = -6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

4x + 5 = 33

Reorder the terms:

5 + 4x = 33

Solving

5 + 4x = 33

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 4x = 33 + -5

Combine like terms: 5 + -5 = 0

0 + 4x = 33 + -5

4x = 33 + -5

Combine like terms: 33 + -5 = 28

4x = 28

Divide each side by '4'.

x = 7

Simplifying

x = 7

If you factor c + 0.09c, we get c(1 + 0.09), which is the same as (1 + 0.09)c.

If we add the numbers inside the parentheses (1 + 0.09)c we get 1.09c.

The answer is choice B and E.

Answer:

AX and BD have the same lenght

Step-by-step explanation:

So BD= 2*(y+4) -> 2*(4+4) = 16

and AX is the same lenght as BX so: AX = y+4 -> 4+4 = 8

Answer:

the answer is "A"

Step-by-step explanation:

Answer:

32x+4+20+4+6x=180

38x+28=180

38x=152

x=4

4+6(4)

4+24

28

Step-by-step explanation:

please give brainliest!!

Step-by-step explanation:

(32x+4)+20+(4+6x)=180

38x+28=180

38x=152

(38x)/38 = (152)/38

x=4

plug into angle A:

4+6x

4+6(4)

28

Answer:

a

Step-by-step explanation:

the two lines intercept at 1,-2

Answer: it is b(4,2)

Step-by-step explanation: nice

Answer:

y=[tex]\frac{3}{-2}[/tex]x +17

Step-by-step explanation:

[tex]\frac{11-8}{4-6}[/tex]=[tex]\frac{3}{-2}[/tex]=slope

11=[tex]\frac{3}{-2}[/tex] *4 + C

11=-6 + C

17=C=Y-intercept

Answer:

slope would be 3 or 3/1

Step-by-step explanation:

I think i'm not totally sure it could be -3 or -3/1

Answer:

True

Step-by-step explanation:

(0,-1) lands on the y-axis

Answer:

the answer is false

Step-by-step explanation:

bc the line is not on 0,-1

hope this helped ^^

Answer:

n = (123 - 3a) / 0.1

Step-by-step explanation:

Given:

3a + 0.1n = 123

Solve for n

3a + 0.1n = 123

Subtract 3a from both sides

3a + 0.1n - 3a = 123 - 3a

0.1n = 123 - 3a

Divide both sides by 0.1

n = (123 - 3a) / 0.1

The resulting equation if 3a + 0.1n = 123 is solved for n is n = (123 - 3a) / 0.1

Answer:

4y+5x=32

Use slope intercept form, then change to Ax+By= C form.

Answer:

1.003 * 10^8

Step-by-step explanation:

Given that :

The United States has about 100,300,000 registered to use cellular phones in the year 2000

100,300,000 in scientific notation:

(100,000,000) + (300,000)

(1 * 10^8) + (3 * 10^5)

To ensure equal power :

300,000 = 3 * 10^5 = 0.003 * 10^8

Hence,

(1 * 10^8) + (0.003 * 10^8)

(1 + 0.003) * 10^8

1.003 * 10^8

Answer:

The X-coordinate changes.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Calculate the values of y by substituting the values of x into y = - 6x + 2

x = - 5 → y = - 6(- 5) + 2 = 30 + 2 = 32

x = - 1 → y = - 6(- 1) + 2 = 6 + 2 = 8

x = 0 → y = - 6(0) + 2 = 0 + 2 = 2

x = 1 → y = - 6(1) + 2 = - 6 + 2 = - 4

Thus

  x      y

 - 5    32

 - 1       8

   0      2

    1      - 4

Answer:

32

8

2

-4

Step-by-step explanation:

The question is asking you to fill in the table for each value of x. That might sound a little confusing at first... but it's simpler than you think.

The equation y = -6x + 2 is important for the entire problem. What the equation means... is that (-6 times x) + 2 equals y. What does that mean? Let's take a look.

In this equation, x and y are variables. That means that they can be any number... for now they are just holding the place of any number. For example... x + 2 = 4. In this equation... x has to be 2. The same idea is being applied here.

If you want to find what "y" is equal to... you have to replace "x" with the number that the table gives you.

For example... the table asks us to find "y" when "x" is -5.

y = -6 (-5) + 2

y = 30 + 2

y = 32

(It's important to remember that if you multiply two negative numbers... you get a positive product.)

Repeat this process for all of the other values they ask for "x" to get an answer for "y"

I hope this helped :) If not, I'll try and help some more!

Answer:A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x-5 has to be less than -2 and the inequality sign goes the opposite direction than the arrow on the number line

Answer:

r37grqigohw

Step-by-step explanation:

This question is incomplete

Complete Question

On a two week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows the relationship where x is the number of hours and y is the total fee. Write the equation. What is the slope and y-intercept?

Answer:

a)Write the equation.

y = 40x + 75

b) What is the slope and y-intercept?

The slope = 40

y - Intercept = 75

Step-by-step explanation:

On a two week job a repairman works a total of 70 hours. He charges 75$ plus 40$ per hour.

The equation shows this realationship where x is the number of hours and y is the total fee is given using the equation of a straight line which is given as:

y = mx + c

Where m = Slope

c = y intercept

Applying this equation to our question , we have:

y= 40x + 75

The slope = m = 40

y-intercept = c = 75

Answer:

75 y intercept.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

I got 12581

Step-by-step explanation:

Answer:

Step-by-step explanation:

must gain 10 yards

they lost 24 yards

gained 4

-24 + 4 = -20

they lost 10 more

- 20 -10 = -30

x + -30 = 10

x = 10 + 30

x = 40 yards

Answer:

(a) The closet to the simple interest eaened in 5 years is $275.00.

(b) The closet to the compound interest earned in 5 years is $276.28.

Step-by-step explanation:

These can be determine as follows:

(a) Simple Interest

The interest earned and be determined using the simple interest formula as follows:

Simple interest = P * R * T ....................... (1)

Where;

P = Principal = $1,000

R = interest rate = 5.5%

T = term = 5

Substituting the values into equation (1), we have:

Simple interest = $1,000 * 5.5% * 5 = $275.00

(b) Compound Interest

The interest earned and be determined using the compound interest formula as follows:

Compound interest = P(1 + R)^T - P ....................... (2)

Where;

P = Principal = $1,000

R = interest rate = 5%, or 0.05

T = term = 5

Substituting the values into equation (2), we have:

Compound interest = $1,000(1 + 0.05)^5 - $1,000 = ($1,000 * 1.05^5) - $1,000 = ($1,000 * 1.2762815625) - $1,000 =$1,276.28 - $1,000 = $276.28

Interest earned in savings Account 1 = 275

Interest earned in savings Account 2= 276.282

Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.

interest earned by savings account 1

I₁=P*R*T/100

where,

P= Principal

R= rate of simple interest

T = time

I₁=1000*5.5*5/100

compound interest I₁=275

Interest earned by savings account2

amount A after n years= [tex]P(1+\frac{r}{100} )^n[/tex]

where,

A= amount received after 5 years

P= principal

r = rate(compound annually)

n = time

[tex]A = 1000(1+\frac{5}{100} )^5\\\\A=1276.282[/tex]

Compound interest I₂ = 1276.282-1000=276.282

Therefore,

interest earned in savings Account 1 = 275

interest earned in savings Account 2= 276.282

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