Will mark brainliest

Will Mark Brainliest

Answers

Answer 1

The solution is Option D.

The equation of the line is y = 28x

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the total distance traveled by the car y = 476 miles

Let the total amount of gasoline x = 17 gallons

So , the equation of line is given by

y = mx + c

where m is the slope

Slope m = y /x

Substituting the value for y and x in the equation , we get

Slope m = 476 / 17

              = 28

Therefore , the equation of line is y = 28x  and the graph is given below

Hence , The equation of the line is y = 28x

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Will Mark Brainliest

Related Questions

which figure comes next in a pattern?

Answers

Answer:

square

Step-by-step explanation:

need more information

Do this, for example, 3v x 2t =6vt

Answers

Algebraic expressions are mathematical expressions that combine a mathematical constant and variables.

What types of algebraic expressions are used in the multiplication of algebraic expressions?

The four basic mathematical operators are addition (+), subtraction (-), multiplication (), and division. Algebraic expressions are mathematical expressions that combine a mathematical constant and variables connected by one or more of the four basic mathematical operations (). Algebraic expressions include things like 4 x + 8, x - y, etc. The numbers 4 and 8 serve as the expression's given constants in the example 4 x + 8, while the word x serves as the equation's variable.

The process of multiplying two provided expressions made up of variables and constants is known as the multiplication of algebraic expressions. An expression that uses integer constants and variables together is called an algebraic expression.

To learn more about Algebraic expressions visit,

brainly.com/question/4344214

#SPJ4

describe the transformations from the graph f(x)=|x| to the graph d(x) = -|x-3| + 5

Answers

The function d(x) = - |x - 3| + 5 is the result of using an horizontal translation, reflection about the x-axis and vertical translation on the function f(x) = |x|.

What kind of transformations are used to transform of the equation of a given graph?

In this question we have the definition of a function (f(x)) and its image (d(x)), the latter is the result of three rigid transformations:

Horizontal translation

f'(x) = f(x - 3)

Reflection about the x-axis

f''(x) = - f'(x)

Vertical translation

d(x) = f''(x) + 5

If we know that f(x) = |x|, then the series of rigid transformations is shown below:

Horizontal translation

f'(x) = |x - 3|

Reflection about the x-axis

f''(x) = - |x - 3|

Vertical translation

d(x) = - |x - 3| + 5

To learn more on rigid transformations: https://brainly.com/question/1761538

#SPJ1

Let X be a continuous random variable with the pdf given by f(x)= ax2 for 0 < x ≤ 3. Determine the value of constant 'a' correct to 2 decimal places.

Answers

The value of the constant a in f(x) = ax² such that 0 < x ≤ 3 is 0.11

How to determine the value of the constant a?

The probability density function is given as

f(x) = ax²

Such that

0 < x ≤ 3

To determine the value of the constant a, we make use of the following equation

[tex]\int\limits^a_b {f(x)} \, dx = 1[/tex]

So, we have:

[tex]\int\limits^3_0 {ax^2} \, dx = 1[/tex]

Factor out the constant

[tex]a\int\limits^3_0 {x^2} \, dx = 1[/tex]

Differentiate the equation

So, we have the following representation

[tex]a\frac{x^3}3 |^3_0 = 1[/tex]

Expand the equation

a[3³ - 0³]/3 = 1

Evaluate the difference

a[3³]/3 = 1

Evaluate the quotient

9a = 1

Divide both sides by 9

a = 0.11

Hence, the variable a is 0.11

Read more about probability density function at

https://brainly.com/question/27846146

#SPJ1

if a1 =2 and an= -2an-1 then find the value of a4

Answers

The value of a is 1 and the value of a4 is 5

Given h(x)=4x+2, find h(5)

PLEASE HELP ME

Answers

Answer:22

Step-by-step explanation:

Answer: h(5)=22

Step-by-step explanation:

h(5) is saying that x is equal to 5

replace x with 5

h(5)=4(5)+2

h(5)=20+2

h(5)=22

Quadratic Equations and Complex Numbers

please give a clear answer, thank you <3

Answers

The result of the given terms is -2/5 as per the given question from complex numbers.

What is a complex number?

There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.

Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.

=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))

=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))

=(-2/5)+i(0)

= -2/5

Therefore, the result of the given terms is -2/5

To know more about complex number, visit:

https://brainly.com/question/20566728

#SPJ1

Calvin drew a rectangle with one side greater than 10 but
less than 20. He multiplies to find its area.
Calvin's work: 8x3+8 x 10 = 104
Find the dimensions of Calvin's rectangle.
Explain how you know that your answer is correct.
Please help!!!!

Answers

Step-by-step explanation:

LET WIDTH= X

LENGTH= X+5

PERIMETER= 2(L+B)= 170

2(X+X+5)= 170

2X+5= 85

2X= 80

X= 40

WIDTH= 40

LENGTH= 45

The length of a rectangle is five more than the width. The perimeter is 170. What is the length and width? Write the equation and solve.

100 points
Find the maximum value of the objective function and the values of x and y for which it occurs.
f=5x+2y
x+2y[tex]\leq[/tex]=6 x[tex]\geq[/tex]=0 and y[tex]\geq[/tex]=0
2x+y[tex]\leq[/tex]=6

Answers

Answer:

Maximum value of the objective function is 15

This occurs at x = 3, y = 0

Step-by-step explanation:

Attached is a plot of the two inequalities. The feasible region is the dark shaded area bounded by the points O, A, B and C

The maximum value of the objective function will occur at one of the corner points

The four corner points are

O (0,0)

A(0,3)

B(2,2)

C(3,0)

Plug in each of these values into the objective function, see which of the corner points will yield the maximum value and those will be the optimal values of x and y

Corner point  (x, y)                      O.F Value (5x + 2y)

(0, 3)                                             5(0) + 2(3) = 6

(2, 2)                                             5(2) + 2(2) = 14

(3, 0)                                              5(3) + 2(0)  = 15   (Maximum value)

Find the equation (in terms of
x
of the line through the points (-5,-1) and (4,-5)

Answers

Answer:

-4/9x - 16.22222

Step-by-step explanation:

Use slope formula

(-5) - (-1) = -4

4 - (-5) = 9

Remember -(-) cancel out to become positive!

The answer is

-4/9x - 16.22222

I can't approximate the 16.222, it is literally that. I did trial and error.

Percent of Sales Method At the end of the current year, Accounts Receivable has a balance of $805,000, Allowance for Doubtful Accounts has a debit balance of $7,000, and sales for the year total $3,620,000. Bad debt expense is estimated at 3/4 of 1% of sales. a. Determine the amount of the adjusting entry for uncollectible accounts.

Answers

If Percent of Sales Method At the end of the current year, Accounts Receivable has a balance of $805,000.  the amount of the adjusting entry for uncollectible accounts is  $27,150.

How to find the amount of bad  debts?

a. Amount of bad  debts

Amount of bad  debts = Sales × Bad debts rate

Amount of bad  debts = $3,620,000×0.75%

Amount of bad  debts= $27,150

b. Adjusted balances

Accounts Receivable           $805,000

Allowance for Doubtful Accounts    $20,150

( $27,150- $7,000)

Bad Debt Expense                            $27,150

c. Net realizable value of accounts receivable

Net realizable value of accounts receivable = Balance of accounts receivables  - Allowance for Doubtful Accounts

Net realizable value of accounts receivable =  $805,000-  $20,150

Net realizable value of accounts receivable = $784,850

Therefore the amount of bad  debts is $27,150.

Learn more about amount of bad  debts here:https://brainly.com/question/12960656

#SPJ1

Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Nina is collecting pledges for a walk-a-thon. Her mother has pledged a flat donation of $12,
and her grandmother has pledged $1 per mile. If Nina walks a certain distance, the two
donors will end up owing the same amount. How much will each donor owe? What is that
distance?
Nina's mother and grandmother will each owe $
if she walks
miles.

Answers

Nina's mother and grandmother will each owe $12 if she walks 12 miles

What is an equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

Standard form, slope-intercept form, and point-slope form are the three main types of linear equations.

According to the question we get to know

mother = 12

Grandmother = x

12 = x

x = 12

$ 12 , she walks 12 miles

To learn more about an equation from the given link  

https://brainly.com/question/18831322

#SPJ1

In parallelogram DEFG if EH=23 find HG.

Answers

The length of HG is also equal to 23, which is the length of EH because the line DF bisects EG in the parallelogram DEFG.

Diagonals of a parallelogram

A parallelogram is a quadrilateral, and the diagonals always bisect each other. However, diagonals only form right angles if the parallelogram is a rhombus or a square.

For the given parallelogram DEFG; the lines DF and EG are its diagonals, and the both bisect each other, that is the cut each other to form two equal parts.

So EH and HG are equal halves of the line EG

Therefore, since EH = 23 then HG = 23 because they form a diagonal of the parallelogram DEFG bisected by the diagonal DE.

Know more about parallelogram here: https://brainly.com/question/20526916

#SPJ1

Sydney wants to make 15 rings, and each ring requires 60 beads. That means you need to multiply 60 beads by 15 rings to see how many beads

Answers

Answer:No

Step-by-step explanation:

Sydney wants to make 15 rings, and each ring requires 60 beads. That means you need to multiply 60 beads by 15 rings to see how many beads she needs. 60 times 15 is 900. Sydney only has 852 beads.

What fraction represents the solution of 4p5 + 3 = 37 + 5p ?

Answers

Answer:

Step-by-step explanation:

p = 8

Please help I need detailed explication. I will give 100 points and brianliest.

Write a linear equation that represents the trend line that you have drawn. Be sure to use points that are located on your trend line to find the equation. Show your work.

Answers

Answer:

[tex]y=53.75x+70[/tex]

Step-by-step explanation:

From inspection of the given graph with added trendline:

y-intercept ≈ (0, 70)another point on the trendline ≈ (8, 500)

Find the slope of the trendline by substituting the identified points into the slope formula:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{500-70}{8-0}=53.75[/tex]

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the trendline:

[tex]\implies y=53.75x+70[/tex]

78x7x54x8 show your work

Answers

Answer:

235,872

Step-by-step explanation:

Simplify:

78×7×54×8

78×69

= 235,872

Answer:

235872

Step-by-step explanation:

I hope it's useful to you

What is the common ratio and the general term equation, a, of the geometric sequence?

Answers

The common ratio and the general term equation, a, of the geometric sequence is A. r = 1/2 , an = 16(1/2)^(n - 1).

What is a geometric sequence?

A geometric sequence simply means the sequence of non zero numbers whereby the term after the first is simony found by multiplying the previous number by a common ratio

Based on the information, the common ratio will be:

= Second term / First term

= -8 / -16

= 1/2

The nth term will then be 16(1/2)^(n - 1).

The correct option is A.

Learn more about sequence on

brainly.com/question/24643676

#SPJ1

What are the domain and range of h(x) = 3|x|?

Answers

Domain: [tex]([/tex] -∝,∝ [tex])[/tex], { [tex]x|x[/tex] ∈ R }

Range: [tex][0,[/tex] ∝ [tex])[/tex], { [tex]y|y\geq 0[/tex] }

Hope this helps!

If
log
b
(
8
)

0.8
log
b
(
8
)

0.8
and
log
b
(
5
)

0.6
log
b
(
5
)

0.6
,
log
b
(
200
)

log
b
(
200
)

Answers

The answer is [tex]Log_{b}200 = 2[/tex]

What is logarithm?

A logarithm is the power to which a number must be raised in order to get some other number.

Given that, [tex]log_{b} 8 = 0.8, log_{b} 5 = 0.6[/tex]

Using formula, [tex]log_{b} a+log_{b} b = log_{b} ab[/tex]

[tex]log_{b} 5 +log_{b} 5 = log_{b} 5*5 = log_{b} 25\\= 0.6+0.6 = 1.2\\\\[/tex]

[tex]log_{b} 200 = log_{b} 25*8\\log_{b} 25*8 = log_{b} 25 + log_{b} 25*8\\ log_{b} 25 + log_{b} 25*8 = 1.2 + 0.8 = 2[/tex]

Hence, The answer is [tex]Log_{b}200 = 2[/tex]

For more references on logarithm, click;

https://brainly.com/question/28346542

#SPJ1

How many days are in 42 weeks?

294 days
504 days
1,008 days
2,520 days

Answers

Answer:

294 days

Step-by-step explanation:

Multiply 42 x 7 and you've got 294 days, which will be your answer.

Can you guys please help?
A science fair has 405 projects. The coordinator displays the projects in rows of 42. How many rows have exactly 42 projects?
I really do not understand this. It would really help me if after you have answered the question, you could explain how you got that answer. Thank you!

Answers

Answer: x=9

Step-by-step explanation:

To get the answer, just divide, but you must not count in the rows that have less or more than 42 projects. 405/42=xThere are 9 rows that have exactly 42 projects because 42 x 9 = 378, which is the closest we can get to 405. 

$1450 is invested at 6.5 % compounded continuously. How long will it take for the balance to reach $2900?​

Answers

Answer:

Step-by-step explanation:

94.25 days

Which function is best represented by the graph?

Answers

The exponential function graphed is the one in option A.

d(x) = (0.45)^x

Which is the function on the graph?

On the graph we can see some kind of exponential function, such that it has a vertical asymptote at x = -3

It also decreases as x increases, then the exponential function has a base that is smaller than 1 and larger than zero.

Because the y-intercept must be 1, we can discard option D where:

d(0) =4*(0.5)^0 = 4*1 = 4

Now, the only other option with a base between 0 and 1 is the first option:

d(x) = (0.45)^x

So that is the correct option.

Learn more about exponential functions:

https://brainly.com/question/11464095

#SPJ1

How do you solve -y +28 +y^2 =2y +2y^2 for y?

Answers

We are given the following:

Solve for y.

[tex]-y+28+y^2=2y+2y^2[/tex]

This being said, lets begin.

~~~~~~~~~~~~~~~~~~~~~~~

1. First, move [tex]2y^2[/tex] to the left side.

[tex]-y+28-y^2=2y[/tex]

2. Move [tex]2y[/tex] to the left side.

[tex]-y^2-3y+28=0[/tex]

3. Solve with the quadratic formula.

[tex]y_{1,2} = \frac{-(-3) -+ \sqrt{(-3)^2-4(-1)*28} }{2(-1)}[/tex]

4. [tex]\sqrt{(-3)^2-4(-1)*28}=11[/tex]

   [tex]y_{1,2} =\frac{-(3)-+11}{2(-1)}[/tex]

5. Separate the solutions.

[tex]y=\frac{-(-3)+11}{2(-1)} , y_{2} =\frac{-(-3)-11}{2(-1)}[/tex]

6.

[tex]y=\frac{-(-3)+11}{2(-1)}[/tex] [tex]=-7[/tex] ← First Solution

7.

[tex]y=\frac{-(-3)-11}{2(-1)} =4[/tex]   ←Second Solution

Final Solution:

[tex]y=-7,y=4[/tex]

Hope this helps!

Write an equation that represents the line. Use exact numbers.

Answers

8.5 because it is and i said so.

Tell wether the data in the table can be modeled by a linear equation. Explain.

If possible, write a linear equation that represents y as a function of x. If not possible, leave blank.

Answers

Answer:

yes

By dividing the difference between each two corresponding data values, we get a constant rate of change.

y = 0.2x + 1.2

Step-by-step explanation:

1. Find the rate of change between each pair of data values in the table and compare to see if they are equal:

  (1.4-1.2)/(1-0) = 0.2/1 = 0.2

  (1.6-1.4)/(2-1) = 0.2/1 = 0.2

  (2-1.6)/(4-2) = 0.4/2 = 0.2

2. Substitute the numbers found in step 1 for m, and the y-value in the data pair (0,1.2) as b in the equation y = mx + b:  y = 0.2x + 1.2

Identify the vertex of the parabola given by f(x) = 2x
2 – 12x + 7.

Answers

Considering the definition of vertex of a quadratic function, the vertex of the quadratic equation y=2x²−12x+7 is (3; -11).

Vertex of a quadratic function

A quadratic function is a variable of a polynomial function defined by f(x)=ax² + bx +c, where a≠0

The graphs of these functions correspond to vertical parabolas (symmetric axis parallel to the ordinate axis), with the particularity that:

when a>0, the parabola opens "up".when a<0, the parabola opens "down".

The vertex of a quadratic equation or parabola is the highest or lowest point on the graph corresponding to that function. The vertex is calculated as:

The value of -b÷(2a) indicates the value of x of the vertex.Substituting value of x into the function, you get the value of y of the vertex.Vertex in this case

In this case, the quadratic equation y=2x²−12x+7, where:

a=2b= -12c= 7

The value of x of the vertex is calculated as -(-12)÷(2×2)

Solving: -(-12)÷(4)= 12÷4= 3

The value of y of the vertex of the function is calculated as y=2×3²−12×3+7

Solving y= -11

Finally, the vertex in this case is (3; -11).

Learn more about vertex of a quadratic function:

brainly.com/question/26146143

brainly.com/question/24737967

brainly.com/question/16449400

brainly.com/question/21442266

#SPJ1

You have an ace, king, queen, and jack from a deck of cards. After shuffling the cards, you draw one card. Then you replace the card, shuffle again, and again draw a card. What is the probability that you will draw a king and a queen in either order? An ace, king, queen, and jack playing card. CLEARCHECK The total number of possible outcomes is x . The probability of drawing a king and a queen in either order is x

Answers

Answer:

[tex]\dfrac{2}{169}[/tex]

Step-by-step explanation:

A standard 52-card deck comprises 4 suits (Spades, Hearts, Diamonds, and Clubs).  

Each suit comprises 10 numerical cards (numbered 2 through 10, plus an "ace") and 3 "court" cards (jack, queen and king).

Therefore:

The total number of possible outcomes is 52.There are 4 kings and 4 queens in a standard deck of cards.

[tex]\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}[/tex]

[tex]\implies \sf P(Queen)=\dfrac{4}{52}=\dfrac{1}{13}[/tex]

[tex]\implies \sf P(King)=\dfrac{4}{52}=\dfrac{1}{13}[/tex]

Therefore, the probability of drawing a king, replacing the card, and drawing a queen is:

[tex]\implies \sf P(King)\;and\;P(Queen)=\dfrac{1}{13}\times \dfrac{1}{13}=\dfrac{1}{169}[/tex]

Similarly, the probability of drawing a queen, replacing the card, and drawing a king is:

[tex]\implies \sf P(Queen)\;and\;P(King)=\dfrac{1}{13}\times \dfrac{1}{13}=\dfrac{1}{169}[/tex]

Therefore, the probability of drawing a king then a queen, or a queen then a king is:

[tex]\implies \sf P(King\;and\;Queen)\;or\;P(Queen\;and\;King)=\dfrac{1}{169}+\dfrac{1}{169}=\dfrac{2}{169}[/tex]

Which confidence level would produce the widest interval when estimating
the mean of a population based on the mean and standard deviation of a
sample of that population?

Answers

Answer:

99%

Step-by-step explanation:

Other Questions
the expected return on the market is 18%. the expected return on a stock with a beta of 1.2 is 20%. what is the risk-free rate? behavior in which a dominant firm's pricing strategy is followed by other firms in the industry is called: What is the result of successfully applying a Machine Learning (ML) algorithm to analyze data? Find the 54th term of the arithmetic sequence -2, -8, -14, What type of malicious software is designed to replicate itself to other computers?. in order to have a good rapport with the community, police officers must depend on the confidence they have in their patrol partners. What does the interaction between the druggist and Emilyreveal? Is joni correct? explain. joni is not correct, because $230 is just the interest she will earn; she will have $430 total. joni is not correct; $230 will be her balance after 1 year. after 3 years, she will have $290. joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. she will have $231.53. joni is correct. she correctly applied the i = p r t formula, and will have $230. 4 disadvantages of animal identification nose printing (agriculture) this wire has a 221 ma current moving to the right. ignoring any external fields, such as the earth, what is the magnetic force on a proton that is 5.8 millimeters from the wire and moving 5800 m/s? future costs and benefits that do not differ between alternatives are ____________ to the decision-making process. This year Andrews achieved an ROE of 43.4%. Suppose the Board of Directors of Andrews mandates that management take measures to increase financial Leverage (=Assets/Equity) next year. Assuming Sales, Profits, and Assets remain the same next year, what effect would you expect this new Leverage policy will have on Andrew's ROE? Group of answer choices None of the aboveAndrew's ROE will remain the same Andrew's ROE will decrease. Andrew's ROE will increase. Listen, read, and choose the option with the correct answer.0:17 Based on the audio, what would be an activity that the doctor might recommend to stay healthy?A. Running B. Eating smaller portions C. Eat candy D. Taking vitamins a client with diabetes has been diagnosed with hypertension, and the health care provider has prescribed atenolol, a beta-blocker. when teaching the client about the drug, what should the nurse tell the client about how it may interact with the client's diabetes? atenolol may cause: . a patient diagnosed with paranoid schizophrenia is describing religiously-based delusions that other patients find offensive. which nursing intervention will the nurse implement to provide a therapeutic milieu? if an individual benefits from the activities of an organization but does not contribute to the organization, it is known as an infectious disease nurse is researching t-cells to determine which cells control replication of intracellular bacteria. which cells should the nurse begin investigating? If whales evolved from land-dwelling mammals, one would expect the fossil record to include intermediate forms, creatures more whale-like than land-dwelling mammals yet still possessing hind limbs and a pelvis lacking in modern whales. Such intermediates are termed __________. f(x) = 3x + 2x - 20 for x = 3help please? ideas, thoughts, or memories of which we are not immediately aware, but which we can think about with reasonably little effort, are said by freudians to be stored in our level of awareness.