Mathematics College

ralph is a electrician he charges an initial fee of 24$ , plus 24 per hour. If ralph earned 144$ on the job , how long did the job take.

Answers

Answer 1

it took him 5 hours

Answer 2

he worked five hours

Related Questions

Find the surface area of the cylinder. Round to the nearest whole number.

•1,359 cm^2
•730 cm^2
•553 cm^2
•1,790 cm^2

Answers

Surface area = 2πr² + 2πrh

Surface area = 2π(7.5)² + 2π(7.5)(8) = 730 cm² (nearest whole number)

Answer: 730 cm²

Find the first term, a1, of an arithmetic sequence if a12 = 38 and a45 = 170.
–6

132/33

–5

6

Answers

Standard formula for arithmetic sequence:
an = a0 + d(n-1)

if we use the two terms given, setting a12 as starting term and a45 as the end term an.

170 = 38 + 33d
170 - 38 = 33d
132 = 33d

132/33 = d
This is the common difference, use it to find the first term.

38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
38 = a0 + 132/3
38 - 132/3 = a0
38 - 44 = a0
-6 = a0

The starting term is -6

The solution is: The starting term is -6

What is Arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Standard formula for arithmetic sequence:

an = a0 + d(n-1)

if we use the two terms given, setting a12 as starting term and a45 as the end term an.

170 = 38 + 33d

170 - 38 = 33d

132 = 33d

132/33 = d

This is the common difference, use it to find the first term.

38 = a0 + (132/33)(12-1)

38 = a0 + (132/33)(11)

38 = a0 + 132/3

38 - 132/3 = a0

38 - 44 = a0

-6 = a0

The starting term is -6

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priority question

The dot plots below show the test scores of sixth- and seventh-grade students: Dot plot for Grade 6 shows 6 dots on score 70, 4 dots on score 80, 6 dots on score 90, and 4 dots on score 100. Dot plot for Grade 7 shows 5 dots on score 50, 7 dots on score 60, 4 dots on score 70, and 4 dots on score 80. Based on visual inspection of the dot plots, which grade, if any, appears to have the higher mean score? Grade 6 Grade 7 Both groups show about the same mean score. No conclusion about mean score can be made from the data.

Answers

Answer:

Grade 6 i think

5.6 times what equals 19.04

Answers

You would have to multiply 5.6 by 3.4 to get 19.04

use similar triangles to solve. a person who is 5 feet tall is standing 140 ft from the base of a tree and the tree cast a 154 foot shadow. the person's Shadow is 14 ft in length what is the height of the tree

Answers

For this case we have the following relationship using similarity of triangles:
(x / 154) = (5/14)
Clearing the value of x we have:
x = (5/14) * (154)
Rewriting we have:
x = 55 feet
Answer:
the height of the tree is:
x = 55 feet

To find the height of the tree, you can create a proportion with the information that is given and solve for the height.

Heights: x 5 feet
Base Lengths: 154 feet 14 feet

14x = 770
14 14
x = 55 feet

The height of the tree is 55 feet.

What is the probability of flipping a coin and it coming up heads four times in a row

Answers

In a single toss, the probability that the result of the toss is head is 1/2:
[tex]P_1 (head) = \frac{1}{2} [/tex]

For 2 tosses in a row, the probability that the result is head in both tosses is
[tex]P_2 = P_1 \cdot P_1 = ( \frac{1}{2} )( \frac{1}{2} )= \frac{1}{4} [/tex]

If we continue, we find that the probability to have 4 heads in 4 consecutive tosses is given by
[tex]P_4 = ( P_1 (head) )^4 = ( \frac{1}{2} )^4 = \frac{1}{16} [/tex]

This is a function whose domain is a set of consecutive integers. They are finite and infinite.

Answers

The set of consecutive integers are:

[tex]z = \{...,-3, -2, -1, 0, +1, +2, +3,...\}[/tex]

If the function is finite, then there are two values [tex]a[/tex] and [tex]b[/tex], being [tex]a\ \textless \ b[/tex], in which this function is valid, then:

[tex]f(x) = x[/tex]
being [tex]x [/tex] the set of integers in the interval defined by [tex](a,b)[/tex]

If the function is infinite, the function is valid in the set of all integers then:

[tex]f(x) = x[/tex]
And -∞[tex]<x<[/tex]+∞

Answer:

the answer is sequence (usa test prep)

Step-by-step explanation:

To win at lotto in a certain state, one must correctly select 6 numbers from a collection of 50 numbers (one through 50). the order in which the selections is made does not matter. how many different selections are possible?

Answers

Number of different selection = 50C6
Number of different selection = 50 x 49 x 48 x 47 x 46 x 45
Number of different selection = 15 890 700

Answer: 15 890 700

The number of possible selections is
C(50, 6) = 50!/(6!*44!) = 15,890,700

Toysrus is having a 38% off sale. If a backpack normally costs $22, how much will it cost on sale

Answers

it will be 13.64. it is bc 38% of 22 is 8.36 and 22-8.36=13.64

The backpack will cost $13.64 during the 38% off sale at Toysrus, calculated by subtracting the discount ($8.36) from the original price ($22).

To calculate the discount amount, we multiply the original price by the discount percentage:

$22 * 0.38 = $8.36

Now, to get the sale price, we subtract the discount amount from the original price:

$22 - $8.36 = $13.64

Therefore, the backpack will cost $13.64 on sale.

select true statements. (-10x^(2)+5x+3)/(2x^(2)+4)

Answers are
The numerator has 3 terms
The denominator includes a coefficient of 4
The denominator includes a coefficient of 2
The numerator has 2 terms
The numerator includes a coefficient of 3

Answers

The correct answers for the exercise shown above, are:

- The numerator has 3 terms:

the first term is:-10x^2
the second term is: 5x
the third term is: 3

- The denominator includes a coefficient of 4:

2x^2+4

- The denominator includes a coefficient of 2:

2x^2+4

- The numerator includes a coefficient of 3:

-10x^2+5x+3

Answer: True statements:: The numerator has 3 terms; The denominator includes a coefficient of 2.

Step-by-step explanation:

If output per worker is now nearly $120,000 per year, how much will the average worker produce 5 years from now if productivity improves by (use the compounding formula below to answer the question): fv1 = p(1 + r), fv2 = p(1 + r)(1 + r), fv3 = p(1 + r)(1 + r)(1 + r)… instructions: enter your responses rounded to two decimal places. (a) 2 percent per year? $ (b) 3 percent per year? $

Answers

It takes Jane 1 hour to make a necklace and 45 minutes to make a bracelet. As If output per worker is now nearly $120,000 per year, how much will the average worker produce 5 years from now if productivity improves by (use the compounding formula below to answer the question) answer.

describe the steps you would use to factor 2x ^ 3 + 5x ^ 2 - 8x - 20 completely then State the factored form. this isn't multiple choice btw

Answers

Answer:

2·x^3 + 5·x^2 - 8·x - 20 = 0

You see that the term will be 0 for x = 2

(2·x^3 + 5·x^2 - 8·x - 20) / (x - 2) = 2·x^2 + 9·x + 10 = 0

You can use the abc-formula to solve the quadratic equation.

x = -2.5 ∨ x = -2

So the factored form will be

2·x^3 + 5·x^2 - 8·x - 20 = 2·(x - 2)·(x + 2)·(x + 2.5)

Answer:

2·x^3 + 5·x^2 - 8·x - 20 = 0

You see that the term will be 0 for x = 2

(2·x^3 + 5·x^2 - 8·x - 20) / (x - 2) = 2·x^2 + 9·x + 10 = 0

You can use the abc-formula to solve the quadratic equation.

x = -2.5 ∨ x = -2

So the factored form will be

2·x^3 + 5·x^2 - 8·x - 20 = 2·(x - 2)·(x + 2)·(x + 2.5)

Find the distance between the points (
-
10,12) and (15,12).

Answers

The distance formula is:

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

We are given two points in the form (x,y), so plug in the values to the distance formula:

[tex]d= \sqrt{(-10-15)^2-(12-12)^2} [/tex]

Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:

[tex]d= \sqrt{(-25)^2} [/tex]

The square and square root cancel each other out leaving us with 25.

The answer is 25.

PLEASE HELP!!! REWRITE THE FOLLOWING LINEAR EQUATION IN SLOPE INTERCEPT FORM??

Answers

y=-2x-2 That is the answer

y=-2x-2 you want to use the distributive property on the right side before subtracting four from both sides
y+4=-2(x-1)
y+4=-2x+2
y(-4)=-2x+2(-4)
y=-2x-2

Find f. f ''(x) = 4 + 6x + 36x2, f(0) = 2, f (1) = 10

Answers

It has been a while since I have done differnetial equations but I think here you only need to integrate twice.
4 + 6x + 36x^2= 2*(2+3x+18x^2)

Integrate 2+3x+18x^2 to get 2x+3/2x^2+18/3x^3 +C = 2x +3/2x^2+6x^3 + C
Integrate again now this: 2x +3/2x^2+6x^3 + C to get x^2 + 1/2x^3+3/2x^4 +Cx +D
Now multiply by two (as I have taken out 2 earlier)
2x^2+x^3+3x^4+2Cx+D

Now use the initial conditions.
f(0)=2
D=2
f(1)=10
2+1+3+2C+2=10
C=1

So the solution is: (ordered by power, as neat mathematicans would do)
f(x)= 3x^4 + x^3 + 2x^2 + 2x +2

The function [tex]$ f(x) $[/tex] is: [tex]\[ f(x) = 2x^2 + x^3 + 3x^4 + 5x + 4 \][/tex]

Given:

[tex]\[ f''(x) = 4 + 6x + 36x^2 \][/tex]

[tex]\[ f(0) = 2 \][/tex]

[tex]\[ f(1) = 10 \][/tex]

1. Integrate [tex]$ f''(x) $[/tex] to find [tex]$ f'(x) $[/tex]:

[tex]\[ f'(x) = \int (4 + 6x + 36x^2) \, dx = 4x + 3x^2 + 12x^3 + C_1 \][/tex]

2. Integrate [tex]$ f'(x) $[/tex] to find [tex]$ f(x) $[/tex]:

[tex]\[ f(x) = \int (4x + 3x^2 + 12x^3 + C_1) \, dx = 2x^2 + x^3 + 3x^4 + C_1x + C_2 \][/tex]

3. Use the initial condition [tex]$ f(0) = 2 $[/tex] to find [tex]$ C_2 $[/tex]:

[tex]\[ 2x^2 + x^3 + 3x^4 + C_1x + C_2 \text{ at } x=0 \][/tex]

[tex]\[ 2 = C_2 \][/tex]

[tex]\[ C_2 = 2 \][/tex]

4. Use the initial condition [tex]$ f(1) = 10 $[/tex] to find [tex]$ C_1 $[/tex]:

[tex]\[ f(1) = 2(1)^2 + (1)^3 + 3(1)^4 + C_1(1) + 2 = 10 \][/tex]

[tex]\[ 2 + 1 + 3 + C_1 + 2 = 10 \][/tex]

[tex]\[ 8 + C_1 = 10 \][/tex]

[tex]\[ C_1 = 2 \][/tex]

Thus, the function [tex]$ f(x) $[/tex] is:

[tex]\[ f(x) = 2x^2 + x^3 + 3x^4 + 5x + 4 \][/tex]

The complete question is:

Find f(x). f ''(x) = 4 + 6x + 36x2, f(0) = 2, f (1) = 10

you have a part-time job that pays $4.75 an hour with tips allergy $4 and fifty an hour your deductions are fic a 7.65% federal tax withholding 12.5% in state tax withholding 6.85 % you work 20 hours per week you want to save $40 a week how much left in your discretionary income per week soon that all the income from your part time job is discretionary and the next one is

You decide to save 15% of your realized income how much do you save per month?

Answers

I do believe that the answer is 27.75 if I have the correct definition of what the realized income is.

the radius of a glass is 1.25 inches. What circumference? use 3.14 for pi

Answers

C=2×3.14×1.25

Answer= 7.85
I think this is the answer.

If the total income generated from gasoline for AER was $408 million how much would be the cost for a barrel of gasoline, gasoline 34% kerosene 14% 60 million barrels total production crude oil

Answers

The problem statement appears to be trying to tell you that 60 million barrels of crude were processed, resulting in 34% of that volume being turned into gasoline, which was then sold for a total of $408 million. You are asked for the revenue associated with 1 barrel of gasoline.

($408·10^6)/(60·10^6 bbl × 0.34) = $408/(20.4 bbl) = $20/bbl

The income from one barrel of gasoline is $20.00.

The correct answer is: $20

Explanation:

As we are interested in finding the cost for a barrel of gasoline, we need to read the percentage of gasoline from the pie-chart first—which is 34%.

Now number of barrels containing gasoline = 34% of 60 million barrels = [tex] \frac{34}{100} * 60 = 20.4 [/tex] million barrels

For all the barrels, the total income is $408 million; therefore, in order to find the per-barrel cost, we need to divide $408 by 20.4:

[tex] \frac{408}{20.4} = \$20 [/tex]

Hence the correct answer is $20.

The dance committee has a budget of $125 to decorate the gym for the spring dance. They have already spent $65. Some members want to buy helium balloons that cost $0.80 each. Write and solve an inequality to show the number of balloons that the dance committee could buy

Answers

First, we subtract the price already spent:
125 - 65 = 60
Now to find the amount of balloons:
0.8n = 60
Divide:
n = 75
The dance committee can buy 75 balloons

The dance committee could buy up to 75 helium balloons with their remaining budget of $60, after already spending $65 from their total budget of $125.

To determine the number of helium balloons that the dance committee could buy with their remaining budget, we first need to calculate how much money they have left after already spending $65. Since their total budget is $125, the remaining budget is calculated as $125 - $65 = $60.

Let's let b represent the number of balloons they can buy. The cost per balloon is $0.80, so the inequality representing the situation is 0.80b \<= 60. To solve for b, we divide both sides of the inequality by 0.80, which gives us b \<= 60 / 0.80, or b \<= 75.

Therefore, the dance committee could buy up to 75 helium balloons with their remaining budget, staying within their financial limitations.

Suppose a population proportion is .40, and 80% of the time when you draw a random sample from this population you get a sample proportion of .35 or more. how large a sample were you taking?

Answers

Final answer:

To determine the sample size needed, use the formula for sample proportion: n = (z * sqrt(p * q)) / E. Plugging in the given values, the minimum sample size required is 178.

Explanation:

To determine the sample size needed, we can use the formula for sample proportion:

n = (z * sqrt(p * q)) / E

Where:

n is the sample size

z is the z-value corresponding to the desired confidence level (in this case, 80%)

p is the population proportion (0.4)

q is 1 - p

E is the maximum allowable error (0.05)

Plugging in the values, we have:

n = (z * sqrt(p * q)) / E = (0.84 * sqrt(0.4 * (1 - 0.4))) / 0.05 ≈ 177.6

Since we cannot have a fractional number of individuals, we round up to the next whole number. Therefore, we would need a minimum sample size of 178 to be 80% confident that the population proportion is estimated to within 0.05.

The home of Russell Slater is assessed at $140,000. The tax rate is 11.8 mills. The actual amount of tax on Russell's home is:

$1,652

$1,462

$1,362

None of these

$1,562

Answers

number 3 is right i think

Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
PLEASE HELP ASAP!! NEED NOW! THANKS!

Answers

y=-4/3x+300 i hope this helps you

Eve is replacing the soil in her plant containers. How many cubic inches of soil will Eve need for the two rectangular containers?
A.45
B.216
C.648
D.864

Answers

The answer is B, 216in 3.

The table shows the number of boys and girls that have black, blonde, brown, or red hair color. What is the probability that a girl has black hair?

Answers

Answer:

O.25

Step-by-step explanation:

Trust me on this one the answer was in the comments :/

Final answer:

The probability of a girl having black hair is determined by dividing the number of girls who have black hair by the total number of girls. Without actual numbers from the table, a specific probability cannot be calculated.

Explanation:

To find the probability that a girl has black hair, we have to first know the total number of girls, and then the number of girls who have black hair. Probability is determined by dividing the number of desired outcomes by the total number of outcomes. So in this case, if we let 'G' denote the total number of girls and 'B' be the number of girls with black hair, the formula for the probability would be P(B) = B / G. Without the actual numbers from the table, we cannot calculate the specific probability.

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helppppp picture included

Answers

They dont represent proportional relationship!
but what are the drop down answers?

line L1, L2 and L3 are in the same plane, L1 is perpendicular to L2, and L3 is parallel to L1. which of the following statement must be true?

1. L3 is parallel to L2
2.L3 is perpendicular to L2
3.L3 intersects L2

Answers

Only Statement 2 is surely correct.
because there maybe chances that the line L1 and L3 lies above the line L2 and they can also fulfill the condition of perpendicularity so we can't be sure about statement 3 & statement 1 is clearly incorrect

The true statement will be

1. ''L3 is perpendicular to L2''

What is Parallel lines?

Parallel lines are straight lines that do not intersect at any point.

Given that;

Line L1, L2 and L3 are in the same plane,

L1 is perpendicular to L2, and L3 is parallel to L1.

Now,

Line L1 is perpendicular to L2.

And, L3 is parallel to L1.

Then, Line L3 is perpendicular to line L2

Thus, The true statements will be

1. ''L3 is perpendicular to L2'' and

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REALY NEED HELP Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C. (4,8) and (3,5)

Answers

let
A (4,8) and B (3,5)

step 1
find the slope m
m=(y2-y1)/(x2-x1)---------> m=(5-8)/(3-4)----> m=-3/-1----> m=3

step 2
with m=3 and point B (3,5) find the equation of the line
y-y1=m*(x-x1)-----> y-5=3*(x-3)----> y-5=3x-9----> 3x-y=4

the answer is
the equation in the form Ax+By=C is
3x-y=4

see the attached figure

Lisa drove 40 3/5 miles in one hour. At the same speed in how many hours could she drive in 121 4/5

Answers

She would drive c 3 hours

Hello!

[tex]\bf Answer:[/tex]

Lisa can drive 121 4/5 miles in [tex]\boxed{ \rm C.~3~hours}[/tex].

40 3/5 = 40.6

121 4/5 = 121.8

121.8 ÷ 40.6 = 3

What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5x + 10 and passes through the point (15, –5)?

Answers

The slope of the perpendicular line is the negative reciprocal of that of the given line, so is
-1/(3/5) = -5/3
Then the point-slope equation of the perpendicular line can be written as
y = (-5/3)(x -15) -5
y = (-5/3)x +20

The y-intercept of the perpendicular line is y=20.

A bag contains 7 blue, 12 red, and 6 orange marbles. Find each probability if you draw one marble at random from the bag. Write as a fraction. a) P (purple)
b) P (red or orange) Please
c)P(not blue) Help

Answers

Total = 7 + 12 + 6 = 25

Purple = 0
Red = 12/25
Orange = 6/25
Blue = 7/25

a. Since there is 0 purple, the answer is 0.
b. 18/25 ( 12/25 + 6/25)
c. 18/25 (Not blue = 25 - 7 = 18)

Hope this helped☺☺

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