A Not secure admin248 acellus.com/StudentFunctions/interface/acell
Parallel Lines
Inear Functions and Systems
A line is parallel to y = -2x - 3 and
intersects the point (5, 4). What is
the equation of this parallel line?
Start by entering this into point-slope form.
y -4 = -2(x-[?])

Answers

Answer 1
Refer to the photo taken.
A Not Secure Admin248 Acellus.com/StudentFunctions/interface/acellParallel LinesInear Functions And SystemsA

Related Questions

if p is false,which row represents when p v(q^r) is true?
E
F
G
H​

Answers

Answer:

f and g 231

Step-by-step explanation:

1. A cone-shaped filter has a diameter of 10 inches and a height of 4 inches.
What is the volume of liquid the filter can hold? Round your answer to
the nearest hundredth.

Answers

The volume of liquid contained by cone is 105 inches cube.

What is volume?

It can be defined as the total content which can be held inside a container.

Main body:

the volume of a cone = [tex]\frac{1}{3}\pi r^{2} h[/tex]  , where r = radius and h = height of cone

diameter = 10 , so radius = d/2 = 5 inches

V = [tex]\frac{1}{3}\pi 5*5*4[/tex]

V = 3.14 *5*5*4*1/3

v≈105 inches cube

Hence the volume is 105 inches cube.

to learn more about volume click on the link below

https://brainly.com/question/1082469

#SPJ13

Mara solved an exponential equation by using logarithms. This is her work.

Latex: 7 \cdot 3^x=189
7

3
x
=
189
7

3
x
=
189
Latex: 3^x=27
3
x
=
27
3
x
=
27
Latex: \log _3\!(3^x)= \log _3\!27
log
3
(
3
x
)
=
log
3
27
log
3
(
3
x
)
=
log
3
27
Latex: x \log _3\!3=9
x
log
3
3
=
9
x
log
3
3
=
9
Latex: x \cdot 1=9
x

1
=
9
x

1
=
9
Latex: x=9
x
=
9
x
=
9


Review Mara's work in steps 3 and 4. (Hint: There is one mistake in those steps.)
a. Be sure to explain what she did and why it was correct or incorrect for Step 3.

b. Be sure to explain what she did and why it was correct or incorrect for Step 4.

c. Provide Mara with feedback on what the mistake was and how to fix it.

Answers

a) The mistake that mara made in step 3 is that; she didn't apply the basic rule of logarithm which should have given the expression log 3^x = x log 3

b) The mistake that mara made in step 4 is that; you must eradicate the log at the same time and as such it should be x log 3 = 3log 3

c) The mistake she made throughout is not applying the basic rule of logarithm.

How to solve Exponential Equations using logarithm?

She is trying to solve the exponential function 7 x 3^x = 189 with the following steps;

Step 1. 7 x 3^x = 189

Step; 2. 3^x = 27; This step is correct because she got it by using division property of equality to divide both sides by 7.

Step 3; log^3 (^3) = log^27; This step is incorrect because from basic rules of logarithm, we know that; log 3^x = x log 3

Step 4. xlog^33=9; This is incorrect because you cannot remove the log on one side of the equation without doing the same on the second side. Thus, what she she should have had here is;

x log 3 = 3log 3

Step 5. x * 1 = 9; This is wrong because dividing both sides by log 4 gives; x = 3

Step 6. x = 9; This is wrong because x = 3

Read more about Exponential Equations at; https://brainly.com/question/2456547

#SPJ1

Complete question is;

Mara solved an exponential equation by using logarithms. This is her work.

1. 7 x 3^x = 189

2. 3^x = 27

3. log^3 (^3) = log^27

4. xlog^33=9

5. x * 1 = 9

6. x = 9

Review Mara's work in steps 3 and 4. (Hint: There is one mistake in those steps.)

a. Be sure to explain what she did and why it was correct or incorrect for Step 3.

b. Be sure to explain what she did and why it was correct or incorrect for Step 4.

c. Provide Mara with feedback on what the mistake was and how to fix it.

{ ( - 4, 2 ), ( - 1, 0 ), ( - 3, 1 ), ( 2, - 3 ) } Write the set using set notation and in ascending order.

Answers

By using set notation, the elements of the given data set in ascending order include {-4, -3, -3, -1, 0, 1, 2, 2}.

What is a listing method?

In Mathematics, a listing method can be defined as a technique which is used to list all the elements or members of a data set, while separating each of them with a comma and enclosing the data set within curly braces.

Generally speaking, set notation is typically used in mathematics for listing the elements of a set such as objects, numbers, or outcomes, especially by making use of curly brackets.

For this exercise, the elements of the given data set would be listed in ascending order as follows:

Set = {-4, -3, -3, -1, 0, 1, 2, 2}

Read more on listing method here: https://brainly.com/question/7296468

#SPJ1

Solve the equation in the image below correct to 2 decimal places. in Logarithm Terms

Answers

The solution to the given equation is 5.630.

What is a logarithmic equation?

An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation. Check to verify if you can write both sides of the equation as powers of the same number before attempting to solve an exponential equation.

Here, we have

2^(x+1) = 3^(2x-5)

Taking logarithms on both sides, we get

(x+1)log2 = (2x - 5)log3

xlog2 + log2 = 2xlog3 - 5log3

log2 + log3⁵ = 2xlog3 - xlog2

log 2* 243 = x(log6 - log2)

log486 = x(log6/2)

log486 = xlog3

x = log486/log3

x = 5.630

Hence, the solution to the given logarithmic equation is 5.630.

To learn more about the logarithms equation from the given link

https://brainly.com/question/25993029

#SPJ13

The monthly cost of operation at a company, C, given in dollars as a function of the number of units produced per month, u, is given below.

C = $3,173 + $31u

If the company wants to keep the cost of operation under $14,000 per month, what is the maximum number of units they can produce?
A. 3,490
B. 350
C. 3,491
D. 349

Answers

If the company wants to keep the cost of operation under $14,000 per month, The maximum number of units they can produce is: D. 349.

How to find the number of units?

Given function:

C = $3,173 + $31u

Hence,

Let u represent number of  units

Let c represent the operation cost

Where c = $14,000 per month

$14,000 = $3,173 + $31u

Combine like terms

$14,000 - $3,173 = $31u

$10,827 = $31u

Divide both side by $31u

u = $10,827 / 31

u = 349 units

Therefore the correct option is D.

Learn more about number of units here: https://brainly.com/question/26770986

#SPJ1

For a 14-person team, how does the actual weekly labor cost compare to the target?
$15 over target $300 over target $600 over target
$1,800 over target
$6,000 over target

Answers

The actual weekly labor cost compared to the target is 240 hours

What are Time and Work?

According to fundamental mathematical concepts, time may be described as the amount of time that a specific activity occurs, whereas work can be described as the collection of actions carried out in order to attain a specific activity or outcome. It should go without saying that time is needed to accomplish a task. It implies that time and work have a certain relationship.

The task completed is calculated as the sum of the number of people participating in the work and the number of days it took to finish. The fundamental time and work equation is W = N X D.

Target costing is a system under which a company plans in advance for the price points, product costs, and margins that it wants to achieve for a new product.

Given

Regular Rate $15.00/hr

Overtime Rate $22.50/hr

Targeted Labour Cost $12,000/wk

Labour Hours Needed 800/wk

According to the question:

Overtime means each employee can work beyond the input of 40 hrs. Per week.

Labor requirement = 800 hrs.

14 men labor capacity = 14× 40 = 560 hrs.

So overtime hours required = 800-560=240 hrs

Hence,

The actual weekly labor cost compared to the target is 240

To learn more about work and time, visit:

brainly.com/question/25748643

#SPJ1

The length of a rectangle is 6 m longer than its width. If the perimeter of the rectangle is 64 m find its length and width in meters

Answers

The length and width of the rectangle with a perimeter of 64m are 19m and 13m respectively.

What is the length and width of the rectangle?

The perimeter of a rectangle is expressed as;

P = 2( l + w )

Where l is length and w is width.

Given the data in the question;

Let x represent the width be represented by variable x.

Width w = xLength l = x + 6Perimeter = 64

Plug the values into the equation above above.

P = 2( l + w )

64 = 2( (x + 6 ) + x )

64 = 2( 2x + 6 )

64 = 4x + 12

64 - 12 = 4x

52 = 4x

x = 52/4

x = 13

Hence, the dimensions of the rectangle are;

Width = x = 13m

Length = x + 6 = 13 + 6 = 19m

Therefore, the dimension of the rectangle are 13m by 19m.

Learn more about rectangles here: https://brainly.com/question/27612962

#SPJ1

A hexagon has exterior angle measures of (7n + 3), (10n-17)°,
(8n - 16), (4n+17), (-n + 16), and (5n - 6)°.
Find the value of n.

Answers

Using the sum of exterior angle, the value of n is 11.

In the given question,

A hexagon has exterior angle measures of (7n + 3), (10n-17), (8n - 16), (4n+17), (-n + 16), and (5n - 6)°.

We have to find the value of n.

As we know that the sum of exterior angle of any polygon is equal to 360°.

As the given measures are (7n + 3), (10n-17), (8n - 16), (4n+17), (-n + 16), and (5n - 6)°.

So we can find the value of n by adding the all measures.

So the expression should be

(7n + 3) + (10n-17) + (8n - 16) + (4n+17) + (-n + 16) + (5n - 6)° = 360°

Simplifying the bracket.

7n + 3 + 10n-17 + 8n - 16 + 4n+17 - n + 16 + 5n - 6 = 360°

Solving the expression by solving the same term

(7n+10n+8n+4n-n+5n)+(3-17-16+17+16-6)= 360°

33n-3 = 360°

Add 3 on both side

33n-3+3 = 360°+3

33n = 357°

Divide by 33 on both side

33/33 n= 363°/33

n = 11

Hence, the value of n is 11.

To learn more about sum of exterior angle link is here

brainly.com/question/1983075

#SPJ1

5. Point A is 3 units directly below (2, 2). What are the coordinates of point A? Answer: Point A (___)​

Answers

A is (2, -1)

The X axis will not change since A is not going left or right of (2,2). You would count down 3 spaces for the y-axis and that would land you at -1 or you could solve by subtraction.

2-3= -1

At the toaster company, the weekly cost to run the factory is $1400 and the cost of producing each toaster is an additional $4 per toaster. Find a function rule representing the weekly cost in dollars, f(x), of producing x toasters. ​

Answers

Answer:

I believe... f(x)=1400+4x

The radioactive substance cesium-137 has a half-life of 30 years. The amount At (in grams) of a sample of cesium-137 remaining after t years is given by the following exponential function.

=At26612t30
Find the initial amount in the sample and the amount remaining after 80 years.
Round your answers to the nearest gram as necessary.

Answers

The answer and steps is provided in the attachment below

Factor: 64x³ + 125y³

Answers

64x³+125y³

= (4x+5y)( 16x²-20xy+25y²)

a³ + b³ = ( a + b )( a² - ab + b² )

64x³ + 125y³

= ( 4x )³ + ( 5y )³

= ( 4x+5y )[ (4x)²- (4x)(5y)+(5y)²]

= (4x+5y)( 16x²-20xy+25y² )

the side length of a square is √8 find the area.
is the number rational or irrational?

Answers

The area of a square with a side length √8 represents a rational number, which is equal to 8 square units.

Is the number behind the area of the square a rational number?

Rational numbers are real numbers of the form m / n, where m and n are integers, where n ≠ 0. The rest of real numbers are irrational (i.e. π, √5, ∛7, e) Besides, the area of the square is determined by the following formula:

A = l²

Where l is the side length of the square.

First, substitute the side length of the square in the area formula:

A = (√8)²

Second, use algebraic properties to simplify the expression and find the corresponding result:

A = ([tex]8^{\frac{1}{2} }[/tex])²

A = 8

This number represents a rational number as 8 is equivalent to the rational number 8 / 1.

To learn more on rational and irrational numbers: https://brainly.com/question/17450097

#SPJ1

Sebastian bought x gallons of gas at a price of $2.91 per gallon at his local gas station. When he paid for the gas, Sebastian also paid $11.40 for granola bars and a box of tissues.

If Sebastian filled 10 gallons of gas, how much did he spend in all at the gas station?

A. $3.92
B. $24.71
C. $40.50
D. $116.91

Answers

If Sebastian filled 10 gallons of gas, the total amount he spent at the gas station was C. $40.50.

How is the total amount determined?

Using the mathematical operations of multiplication and addition, we can compute the total amount that Sebastian spent at the gas station.

We first determine the total cost of gas that Sebastian bought by multiplying the unit cost by the quantity.

Secondly, we add the above total cost to the total cost of other items he bought at the station to arrive at the total amount spent.

The cost of gas per gallon = $2.91

The number of gallons of gas bought = 10

The total cost of gas = $29.10 ($2.91 x 10)

The total cost of granola bars and tissues = $11.40

The total amount spent = $40.50 ($29.10 + $11.40)

Thus, mathematically, Sebastian spent C. $40.50 at the gas station.

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

Nolan went shopping for a new pair of sneakers because of a sale. The store was offering a 25% discount. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?

Answers

The number is 0.75.

From the question, we have

The store was offering a 25% discount.

number = 1-0.25

=0.75

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The minus sign stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above figure) are then moved to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, or equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

To learn more about subtraction visit: https://brainly.com/question/2346316

#SPJ1

Help with this math problem

Answers

The value of the investment after 3.25 years is $434.93.

What is the interest rate?

The amount a lender charges a borrower, expressed as a percentage of the principle, is known as the interest rate.

Given that, the initial investment is P₀ = $400, the interest rate is n = 2.6%, and the time is x = 3.25 years.

The formula for the future value in continuous compounding is:

P(x) = P₀eⁿˣ

Substitute P₀ = 400, n = 2.6%, and x = 3.25 into the equation:

[tex]P(3.25) = (400)e^{2.6\%(3.25)}\\[/tex]

= 434.93

Hence, the value of the investment after 3.25 years is $434.93.

Learn more about the interest rates:

https://brainly.com/question/13324776

#SPJ1

Red- 5 skittles
Purple- 8 skittles
Yellow- 1 skittle
Orange- 2 skittles
Green- 4 skittles
Tomas reaches in a bowl and pulls out a green skittle. Without replacing the green skittle, what is the probability he picks a yellow skittle.

A. 1/100
B. 1/80
C. 1/95
D. 1/76

Answers

Answer:

I think its C. 1/95

Step-by-step explanation:

I am not sure this is the answer, i haven't done this math in ages so I'm a bit rusty so good luck on the test!

What is 10,483,190 in word form?​

Answers

Answer:

Ten million, Four hundred eighty-three thousand, one hundred ninety

Step-by-step explanation:

Break it down! into the tens digit, hundreds digit, etc.

Ten million four hundred thousand one hundred ninety

I don't understand please help me...

Answers

The total fencing material required to fence the playground and both flower beds is

perimeter of a rectangle is 2( /  + w)perimeter of a square is 8a

How to find the material required for the fencing

Information from the question

The boundary of a park is shaped like a circle

The length of the rectangular playground is / and its width is w

The length of each side of the square flower beds is a

The problem is asking for the perimeter of a rectangle and 2 squares

perimeter of a rectangle is 2( /  + w)

perimeter of a square is 4a

If there was no over lap the expression will have no reduction and hence the quantity of material required for the fencing is equal to their respective perimeters

The flower beds are two so the perimeter will be multiplied by 2 to give 8a

Learn more about perimeter here:

https://brainly.com/question/29430107

#SPJ1

△MNP≅△QST.

What is m∠S?



Enter your answer in the box.

Answers

Answer:

78°

Step-by-step explanation:

∠M=∠Q

∠N=∠S

∠P=∠T

Answer:

m∠S =78°

---------------------

Given

Two congruent triangles △MNP≅△QST

We know that corresponding angles of congruent triangles are congruent (vertices in same order as name of triangle):

∠M ≅ ∠Q, ∠N ≅ ∠S, ∠P ≅ ∠T

Angle S corresponds to angle N, hence their values are equal:

m∠S = m∠N = 78°

Lenny and Lashae are shopping for new guitar strings in a music store. Lenny buys 2 packs of strings. Lashae buys 2 packs of strings and
a music book. The book cost $16. Their total cost is $72. How much is 1 pack of strings?

Answers

Answer:

Strings packs cost $14 each

Step-by-step explanation:

Lenny and Lashae are shopping for new guitar strings in a music store. Lenny buys 2 packs of strings. Lashae buys 2 packs of strings and a music book. The book cost $16. Their total cost is $72. How much is 1 pack of strings?

Lenny: 2s

Lashae: 2s + b

when b = $16 then these equations are:

Lenny: 2s

Lashae: 2s + 16

together they spent $72 so:

lenny + Lashae = $72 or:

2s + 2s + 16 = 72

subtract 26 from both sides:

2s + 2s + 16 - 16 = 72 - 16

2s + 2s = 56

combine s terms:

4s = 56

divide both sides by 4:

4s/4 = 56/4

s = $14


The figure below is made up of a square with height, h units, and
a right triangle with height, h units, and base length, b units.
h
b
The area of this figure is 80 square units.
Write an equation that solves for the height, h, in terms of b.

Answers

Answer:  $4x4x

Step-by-step explanation:

In the following expression, n is a rational number: Which expression below is equivalent to this expression?

Answers

Answer:

none of them

Step-by-step explanation:

A school is arranging a field trip to the zoo. The school spends 654.84 dollars on passes for 32 students and 2 teachers. The school also spends 281.92 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?

Answers

The money was spent on a pass and lunch for each student is $28.07

How to calculate the amount?

It was stated that the the school spends 654.84 dollars on passes for 32 students and 2 teachers while the school also spends 281.92 dollars on lunch for just the students.

Therefore the amount spent on pass will be:

= Total amount / Number of people

= 654.84 / 34

= 19.26

The amount spent on each student will be:

= 281.92 / 32

= 8.81

The amount spent in pass and lunch will be:

= 19.26 + 8.81

= $28.07

Learn more about money on:

brainly.com/question/24373500

#SPJ1

how to interpret data from a frequency distribution

Answers

Answer:

The first column is usually for the categories of the data set and the second or third column is usually for the frequency of each category.

The number written on the right of each category is its frequency

Step-by-step explanation:

Inflation causes things to cost more, and for our money to buy less (hence your grandparents saying "In my day, you could buy a cup of coffee for a nickel"). Suppose inflation decreases the value of money by 4% each year. In other words, if you have $1 this year, next year it will only buy you $0.96 worth of stuff. How much will $100 buy you in 20 years?

Answers

The amount that $100 will be able to buy in 20 years, given an inflation rate of 4% is $44.20

How to find the value of money?

When given the inflation rate, know that this rate is the rate at which the value of money decreases per year.

If given a rate of 4% as inflation, then the value of a dollar would decrease by 4% a year.

In 20 years therefore, the value of $100 would be:

Value in 20 years = Value today x (1 - inflation rate) ^ number of years

= 100 x (1 - 4%) ²⁰

= $44.20

Find out more on inflation at https://brainly.com/question/8149429

#SPJ1

Name the points. I give you brainiac or whatever.

Answers

Answer:

B: (4, 2)

D: (-4, -1)

E: (3, -3)

F: (0, 4)

Step-by-step explanation:

(x-coordinate, y-coordinate)

Answer:

B: (4, 2)

D: (-4, -1)

E: (3, -3)

F: (0, 4)

Step-by-step explanation:

(x-coordinate, y-coordinate)

Emma wrote one hundred thousand as 1,000,000. Explain what she did wrong.Then write the number correctly

Answers

Answer:

she wrote 1 million. It's 100,000

Step-by-step explanation:

she wrote 1 million. It's 100,000

A couple bought a rental house for $195,000 it’s assessed value was $180,000 if the tax rate is $1.50 per $100 of assessed value what is the monthly contribution the lender will require for taxes round to the nearest cent

Answers

Step-by-step explanation:

there is no interest and such involved. it is a straight forward calculation to allow the lender to accumulate enough funds (= the ESCROW account as part of the mortgage account structure) to be able to pay the taxes once a year on behalf of the owners.

so, the tax is $1.50 for every $100 of the assessed value of the house.

how many $100 units are in that value ?

180,000 / 100 = 1,800 units.

that means the tax for that house is

1800 × 1.5 = $2,700

in order for the lender to accumulate $2,700 in the ESCROW account in a year (= 12 months), the monthly contribution has to be

2700 / 12 = $225.00

Other Questions
What is the equation of the line that passes through the points (-2, -6) and (1, 2)? What is the equation of the line that passes through the point (8, 6) and has a slopeof o? what is re, the reynolds number re, for water flows at 10 m/s speed through a typical household water pipe of 30 mm diameter? viscosity of water is 8.90 x 10-4 pa.s. Persuasive letter for a job at school I need a example Which of the following factors does not characterize a bureaucracy?A. formal rulesB. specializationC. hierarchical organizationD. generalization Speaking of power couples, which action-movie stars admit they used to hate each other?. I will give brainliest to whoever answers first and gives me the answer for every question and it must be understandable. 6x-5=6x-5 pls help fast a company sells a product for $63. variable costs are 60% of sales, and monthly fixed costs are $57,456. answer the following questions: Find X in all three problems below a car moving at a constant speed of 30 m/s travels rounds a circular bend. as the car rounds the bend, it experiences a centripetal acceleration of 40.0 m/s2. what is the radius of curvature of the bend? true or false the newton-raphson method will converge very rapidly when close to finding the root of an equation. Select the affix you would find in a word indicating a subject of study? Ify Micro Ology Phob how were the beliefs of 1840s democrats and whigs similar to the beliefs of circa 1800 d-rs and federalists respectively? glucose-6-phosphate dehydrogenase deficiency (g6pd) is inherited as an x-linked recessive allele in humans. a woman whose father suffered from g6pd marries a normal man. what proportion of their sons is expected to be g6pd? a defined benefit plan requires an annual pension cost of $90,000 based on estimates of future pension liabilities. on december 31, the company pays $70,000 to the pension fund. the journal entry will include a.a credit to cash for $90,000. b.a debit to pension expense for $70,000. c.a debit to unfunded pension liability for $70,000. d.a credit to unfunded pension liability for $20,000. What is the function of epithelial tissue in the human stomach?- support and bind other tissues together- contract to allow for movement of the stomach- provide protection and allow secretion and absorption- receive and transmit impulses and process information A fisherman catchs 12 fish in 5 days. How many fish does he get in5 + x days? jason is buying a new car. he does not know much about automobiles. however, because of the high price of the car, he gets involved in the shopping process by visiting showrooms, searching for information on the internet, and looking at other sources of information. which type of involvement does the given scenario represent? what are the effects on the accounting equation from the adjustment for revenue earned during the accounting period that had previously been recorded as a liability?