Pls help willing to give 15 points and brainliest for 2 graph questions.

Pls Help Willing To Give 15 Points And Brainliest For 2 Graph Questions.
Pls Help Willing To Give 15 Points And Brainliest For 2 Graph Questions.

Answers

Answer 1

1. The slope of the line on the graph is: 6

2. The graph of the line with a slope of 4/3 is shown in the image below.

What is the Slope of a Line?

Slope of a line = change in y / change in x = rise/run.

How to Graph an Equation?

The equation that can be used to represent a linear graph can be written in slope-intercept form as y = mx + b, where the value of b is the y-intercept of the line and the value of m is the slope of the line.

1. Using two points on the line, (0, -1) and (1, 5):

Slope of the line = change in y / change in x = (-1 - 5)/(0 - 1)

Slope of the line = -6/-1

Slope of the line = 6

2. Slope (m) = 4/3

A point on the line is given as (1, 3)

Write the equation of the line by substituting (a, b) = (1, 3) and m = 4/3 into y - b = m(x - a):

y - 3 = 4/3(x - 1)

y - 3 = 4/3x - 4/3

y = 4/3x - 4/3 + 3

y = 4/3x + 5/3

The graph of y = 4/3x + 5/3 is shown in the image below.

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Pls Help Willing To Give 15 Points And Brainliest For 2 Graph Questions.

Related Questions

In the morning, the temperature in Westfield City was

2°F. By afternoon, a north wind caused the temperature to drop another 8°F. What was the afternoon temperature in Westfield City?
To solve the problem, Martin subtracted

2–(

8) and came up with an answer of 6°F. Is Martin correct? Why or why not?

Answers

Martin's answer is wrong. The afternoon temperature in Westfield city is  -10°F.

Given,

The temperature in Westfield city in morning = -2°F

The drop down temperature by afternoon = 8°F

We have to find the temperature in afternoon:

Temperature in afternoon = Temperature in morning - Drop down temperature

= -2 - 8 = -10

The afternoon temperature in Westfield city is -10°F

Martin subtracted like:

-2 - (-8) = -2 + 8 = 6

This is wrong.

That is,

We can conclude like:

Martin's answer is wrong. The temperature in Westfield city in afternoon is -10°F

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A cord of wood is a pile 8 feet long, 4 feet wide, and 4 feet high. Find the volume of a cord of wood.

Answers

128 feet³ is the volume of a cord of wood.

What is volume in maths?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."

l =  8 feet

b = 4 feet

h = 4 feet

volume of a cord of wood  = l × b × h

                                             = 8 × 4 × 4

                                              = 128 feet³

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Which table of ordered pairs represents a proportional relationship?

need help ASAP!!

Answers

Answer:

Table 3 represents a proportional relationship

============================

Proportional relationship has the form of:

y = kx, where k- coefficient of proportionality

The value of k should be same for any pair of coordinates:

k = y/x

Let's test it for each table

Table 1

k = 8/4 = 2k = 11/7 ≠ 2k = 14/10 ≠ 2No

Table 2

k = 25/5 = 5k = 49/7 = 7 ≠ 5k = 81/9 = 9 ≠ 5No

Table 3

k = 3/6 = 1/2k = 5/10 = 1/2k = 7/14 = 1/2Yes

Table 4

k = 3/6 = 1/2k = 11/8 ≠ 1/2k = 18/13 ≠ 1/2No


The price of a phone is AED 600. It is discounted by 18%. You also have a 7% discount voucher on the
sale price.
How much will you pay for this phone?

Answers

Answer:

You will pay $457.56.

Step-by-step explanation:

600 x .18 = 108  This is the amount taken off

600 - 108 = 492 Now we will take 7% off of 492

492 x .07 = 34.44

492 - 34.44 = 457.56

The phone will cost AED 486.24. The original price of the phone is AED 600. This is discounted by 18% to AED 504. You then have a 7% discount voucher on the sale price, which is AED 486.24. which is in UAE currency.

wich of the following numbers in the datta set is an outlier? data set: 21,23,19,25,83,23, or 21

Answers

Answer:

83.

Step-by-step explanation:

An outlier is a number in a data set that stands out from the rest.
Example: 1,2,3,89.
That was a little extreme but in the example you can see that the number isn’t even close to the others, it stands out.


Which is why I came to the conclusion that in the data set, the outlier is 83.

The perimeter of a rectangle can be written as P = 2(L+W). If the length of a rectangle is 4, find the width in terms of P. Show the work that leads to your answer.

Answers

Answer:

P = 2(4+w)

P = 8+2w

P-8 = 2w

[tex] \frac{p - 8}{2w} = \frac{2w}{2} [/tex]

[tex] \frac{p - 8}{2} = w [/tex]

Translate this sentence into an equation: "The difference between three-fifths of a number a 7 is –36."

Answers

The expression represented by the mathematical sentence is 3/5a - 7 = –36

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to translate the algebraic expression?

The expression is given as

"The difference between three-fifths of a number and 7 is –36."

Three-fifths of a number a means multiply 3/5 and the number i.e. 3/5 * a

So, we have

The difference between three-fifths of a number and 7 is –36 ⇒ The difference between 3/5a and 7 is –36

difference means subtraction

So, we have

The difference between three-fifths of a number and 7 is –36 ⇒ 3/5a - 7 is –36

"is" means =

So, we have

The difference between three-fifths of a number and 7 is –36 ⇒ 3/5a - 7 = –36

Hence, the expression represented by the difference between three-fifths of a number and 7 is –36 is 3/5a - 7 = –36

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T is the midpoint of KL¯¯¯¯¯. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.

Answers

Using the midpoint formula, the coordinates of L is determined as: (-10, 10).

How to Determine the Coordinates of a Midpoint of a Segment?

To find the coordinates of the midpoint of a segment, we have to apply the midpoint formula, which is: (x, y) = [(x2 + x1)/2, (y2 + y1)/2].

Given the following:

K(2,−6) = (x1, y1)L(?, ?) = (x2, y2)T(−4,2) = (x, y) [midpoint]

Substitute the given values into the midpoint formula:

(-4, 2) = [(x2 + 2)/2, (y2 + (-6))/2]

(-4, 2) = [(x2 + 2)/2, (y2 - 6)/2]

Solve for x2:

-4 = (x2 + 2)/2

2(-4) = x2 + 2

-8 = x2 + 2

-8 - 2 = x2

x2 = -10

Solve for y2:

2 = (y2 - 6)/2

2(2) = y2 - 6

4 = y2 - 6

4 + 6 = y2

10 = y2

y2 = 10

Therefore, L has the coordinates, (-10, 10).

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cook-it food processor has a mean time before failure of 32 months with a standard deviation of 4 months, and the failure times are normally distributed. what should be the warranty period, in months, so that the manufacturer will not have more than 8% of the food processors returned? round your answer down to the nearest whole number.

Answers

The warranty period should be 26 months so that the manufacturer will not have more than 8% of the food returned.

In a set with mean μ and standard deviation σ, the z-score of a measure X is given as:

Z = ( X - μ ) / σ

The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.

Cook-Easy blender has a mean time before failure of 32 months with a standard deviation of 4 months

Therefore,

σ = 4 and μ = 32

The warranty period should be in the 8th percentile.

Therefore, the value of X when Z has a p-value of 0.08, so X when Z = - 1.405.

So,

- 1.405 = ( X - 32 ) / 4

- 1.405 × 4 = X - 32

- 5.62 = X - 32

X = 26.38

X ≈ 26

The warranty period should be of 26 months.

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Find the equation of the line that is perpendicular to the line y = 5x+6 and passes through the point (-3 , 3). Write the equation in point slope form.

Please help
(College Algebra)

Answers

Equation of the line in slope form that is perpendicular to the line y =5x +6 and passes through the point (-3, 3) is equal to y = -5x -12.

As given in the question,

Equation of the given line :

y = 5x + 6

Slope of the given line m₁ = 5

Required line is perpendicular to the given line

Slope of the required line is m₂ = -5

Required line is passing through the point (x₁ , y₁) = (-3, 3)

Equation of the required line in slope form

y -y₁ = m₂( x -x₁ )

⇒ y - 3 = -5(x - (-3))

⇒ y -3 = -5x -15

⇒ y = -5x -12

Therefore, equation of the line in slope form that is perpendicular to the line y =5x +6 and passes through the point (-3, 3) is equal to y = -5x -12.

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Factor by grouping

xy-9x-3y+27

Answers

The factored expression of the expression given as xy - 9x - 3y + 27 is (x - 3)(y - 9)

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to factor the expression by grouping?

The expression is given as

xy - 9x - 3y + 27

Factor out the common factor from the expression

So, we have

xy - 9x - 3y + 27 = x(y - 9) - 3(y - 9)

Factor out (y - 9) from the expression

So, we have

xy - 9x - 3y + 27 = (x - 3)(y - 9)

The expression above cannot be further simplified

This means that the expression has been completely factored and cannot be further factored

Hence, the equivalent expression of the expression given as xy - 9x - 3y + 27 when it is factored by grouping is (x - 3)(y - 9)

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Find the additive inverse of each number.
1. 15
2.-27
3. 7/9
4. -9/16
5. 0

Answers

Answer:

what level math is this I am not too familiar with it

Evaluate. [4.2−3(2.1)] + 1 (-0.2)² What is the value of the expression? Enter your answer as a decimal in the box.​

Answers

On evaluating the value of the expression  [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .

In the question ,

the expression is given as

[4.2−3(2.1)] + 1 (-0.2)²

the value of (-0.2)²= (-0.2)*(-0.2)

                              = 0.04

Substituting the value of (-0.2)² in expression , we get

=[4.2−3(2.1)] + 1*0.04

=[4.2−3(2.1)] + 0.04

Solving the terms inside [ ] , we have

multiplying 3 with 2.1 we get

3*2.1= 6.3

Substituting it in the expression above we get

= [4.2−6.3] + 0.04

Simplifying further , we get

= -2.1 + 0.04

= -2.06

Therefore , on evaluating the value of the expression  [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .

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Answer:

Step-by-step explanation:

The answer is -2.06.

hope you get a good grade!!!

a genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. construct a ​% confidence interval to estimate of the percentage of yellow peas. b. based on the confidence​ interval, do the results of the experiment appear to contradict the expectation that​ 25% of the offspring peas would be​ yellow? question content area bottom part 1 a. construct a ​% confidence interval. express the percentages in decimal form. enter your response herep enter your response here ​(round to three decimal places as​ needed.) part 2 b. based on the confidence​ interval, do the results of the experiment appear to contradict the expectation that​ 25% of the offspring peas would be​ yellow? ​yes, the confidence interval does not include​ 0.25, so the true percentage could not equal​ 25% ​no, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Answers

Null hypothesis : [tex]H_{0} : p=0.25[/tex]

Alternative hypothesis : [tex]H_{a};p\neq 0.25[/tex]

Given : A genetic experiment with peas resulted in one sample of offspring that consisted of 429 green peas and 159 yellow peas.

i.e. p=159/429=0.3706

For 95% level of confidence interval , significance level :

Critical value of z =[tex]Z_{a/2}[/tex]=1.96

Confidence interval for population proportion :

p±[tex]Z_{a/2}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

=0.37±(1.96)[tex]\sqrt{0.37(1-0.37)/429[/tex]

=0.37±0.045687

=0.37±0.05

(0.32, 0.12)

Since 0.25 is not contained in the confidence interval , it means is not reasonable that the true proportion is 0.25 (25%).

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I need helped with my math word problem i'm stuck​

Answers

In mathematics, an algebraic expression is one that was created using integer constants, variables, and algebraic operations

The amount spent on a new house exists $ 810,000.

What is meant by algebraic expressions?

Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. In mathematics, an algebraic expression is one that was created using integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by an exponent that is a rational number).

If n 5, the roots of a degree n polynomial expression, or the solutions of a degree n polynomial equation, may always be expressed as algebraic expressions.

An algebraic solution is what we refer to as a solution to an equation. But if n is greater than five, the Abel-Ruffini theorem asserts that only certain of these equations have algebraic solutions.

Abby spent 1/6 of the lottery on a new car

and 3/4 of the lottery on a new house

Total expenditure = $990,000

a. Let w be the lottery winnings,

then, 1/6 x w + 3/4 x w = $990,000

b. ⇒ w/6 + 3w/4 = $990,000

simplifying the above equation, we get

⇒ (2w + 9w)/12 = $990,000

⇒ 11w = 12 x $990,000

⇒ w = 12 x $990,000/11

⇒ w = 12 x 90,000

⇒ w = $1,080,000

Therefore, the lottery winnings = $1,080,000

Amount spent on a new car = 1/6 x $1,080,000 = $ 180,000

Amount spent on a new house = 3/4 x $1,080,000 = $ 810,000

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Determine Angles of a rotation
A) 90º clockwise
B) 90º counterclockwise
C) 180º
D) 270º clockwise
E) 270º counterclockwise

Answers

Answer:

  C)  180°

Step-by-step explanation:

You want the angle of rotation between triangle ABC and triangle A'B'C' given that the center of rotation is point P.

Angle

The angle of rotation will be the measure of the angle APA'. We see that this angle is a straight angle with a measure of 180°.

The angle of rotation is 180°.

__

Additional comment

Another clue regarding the answer is that 90° CW is equivalent to (and indistinguishable from) 270° CCW, and vice versa. This means each of the other answer choices is repeated, so one is as good as the other. The only possible single answer choice is 180°.

The angle of rotation can always be found this way. Form an angle between a preimage point, the center of rotation, and the corresponding image point. The measure of that angle is the angle of rotation.

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solve the following equation 18x-3=4x+11

Answers

Answer:

Hope this helps

fist add three to both sides

then subtract 4x from both sides

then divide both side with the same factor

Using the formula r=d/t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 227.5 miles in 3.5 hours?

Answers

Answer: 35 mile/hour

Step-by-step explanation:

[tex]r=\frac{d}{t}[/tex]

∴ [tex]r=\frac{227.5}{3.5}=65[/tex]

= 65 mile/hour

find the sum of the first 16 terms of the arithmetic sequence: 8,11,14,17,20,...

Answers

Answer:

S₁₆ = 488

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 8 and d = a₂ - a₁ = 11 - 8 = 3 , then

S₁₆ = [tex]\frac{16}{2}[/tex] [ (2 × 8) + (15 × 3) ]

     = 8(16 + 45)

     = 8 × 61

     = 488

 

What is 29 divided by 5123

Answers

Answer: That would be approximately 0.00566.

Explanation: Have a great day!! :)

Morgan chewed 3 1/2 sticks of gum every day for 5 consecutive days. How many sticks of gum did he chew in that time?

Answers

He would have chewen 17 & 1/2 of gum

) If you invest $2500 in an account that pays 12% interest, compounded quarterly, how much would you
have at the end of 17 years?

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &17 \end{cases} \\\\\\ A=2500\left(1+\frac{0.12}{4}\right)^{4\cdot 17}\implies A=2500(1.03)^{68} \implies A \approx 18658.27[/tex]

Answer:

18658.27

Step-by-step explanation:

A store sells 213 bottles of water every day in the month of march. march has 31 days. how many bottles of water does the store sell in the month of march?

Answers

Using multiplication, we know that 6,603 bottles of water were sold in march by the store.

What is Multiplication?When you take a single number and multiply it by several, you are multiplying.213×31=6,603The simplest way to start teaching multiplication is to establish the relationship between the concept and addition, which your pupils should already be familiar with. Make sure your students understand the first principle of multiplication—that it is just repeated addition—before continuing on.

Multiplication's characteristics. Commutative Multiplication Property.

Associative Multiplication Property.Multiple's distributive properties.Multiplication's identity property.

So, bottles of water the store sells in march:

213 × 31 = 6,603

Therefore, using multiplication, we know that 6,603 bottles of water were sold in march by the store.

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what is the mean of 7,5,9,5,12?

Answers

Answer: 190

Step-by-step explanation:

you add all the numbers and by adding all these numbers i got 38 then u take the amount of numbers you had and multiply is of in this case it was 38x 5

Answer:

7.6

Step-by-step explanation:

How do you find the mean?

1. Add all values in your data

2. Divide the sum by how many numbers there are.

I need help with this question

Answers

Let's solve figure by figure

Figure A

This figure has a total of 5 sides, therefore it is a pentagon.

Figure B

This figure has a total of 8 sides, therefore it is an octagon.

Figure C

This figure has a total of 3 sides, therefore it is a triangle.

According to the answer table, it would be

Pentagon: Figure A

Octagon: Figure B

Hexagon: None

Timmy has 810 stamps. He wants to organize them on pages that hold 16 stamps each. He has 50 pages. Does he have enough pages to organize all the​ stamps?

Answers

yes Timmy has enough pages to organize all stamps.

Given, we have 810 stamps.

He wants to organize them on pages that hold 16 stamps each.

He has 50 pages.

Therefore, 810 ÷ 16

while dividing we get 50 as the quotient and 10 as the remainder.

Which means 810 stamps are enough for 50 pages, after that 10 more remains.

Hence we get the desired result.

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A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of finished products and computes the sample mean product weight. If test results over a long period of time show that of the values are over pounds and are under pounds, what are the mean and the standard deviation for the population of products produced with this process?.

Answers

The mean is 2 Pounds and the standard deviation is 0.3340 for the population of products produced with this process

Sampling distributions are sets of data that can depict probability for all feasible samples taken from a population. Every one of these distributions is measured for a specific measure. The sampling distribution of means, for instance, calculates the average value for all feasible samples of a certain size.

Given that:

30 samples are used (n).

X stands for the sample mean weights.

Over 2.1 pounds make up 5% of the x values, while under 1.9 pounds makeup 5%.

Let the mean and standard deviation of the goods produced by this process be the population measurements.

According to the central limit theorem, if the sample size is greater than 30, any population distribution would result in a normal sampling distribution of means.

Let x represent the weights' sample mean.

x ∼ N(μX, σX2)

∼ N(μ, σ / √n)

∼N(μ, σ / √30)

5% of the x values are over 2.1 pounds and 5% are under 1.9 pounds, according to the statistics provided.

Therefore, P(x > 2.1) = 0.05

P [x − μ / (σ / √30) > 2.1 − μ / (σ / √30)] = 0.05

P [Z > 2.1 − μ / (σ / √30) = 0.05     --- (1)

P(x < 1.9) = 0.05

P [x − μ / (σ / √30) > 1.9 − μ / (σ / √30)] = 0.05

P [Z < 1.9 − μ / (σ / √30) = 0.05     --- (2)

The Z-scores that fulfill equations (1) and (2) using the common normal table are:

P(Z < −1.64) = 0.05

P(Z > 1.64) = 0.05     (An assortment of standard normative services)

Equations (1) and (2) are used to compare the values:

2.1 − μ / (σ / √30) = 1.64 ⇒ μ = 2.1 − 0.2994σ     -- (3)

1.9 − μ / (σ / √30) = -1.64 ⇒ μ = 1.9 + 0.2994σ     -- (4)

Adding the equations (3) and (4) :

σ = 2 − 1.9 / (0.2994) = 0.3340

In light of this, the population's mean weight is 2 pounds, and its standard deviation is 0.3340 pounds.

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Aaliyah is preheating her oven before using it to bake. The initial temperature of the
oven is 70° and the temperature will increase at a rate of 20° per minute after being
turned on. What is the temperature of the oven 14 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?

Answers

Answer:

It is 350°

Step-by-step explanation:

14*20°=280

280° x 70°= 350°

Answers:

What is the temperature of the oven 14 minutes after being turned on?

70 = initial temp

20 = degrees per minute

70 + 20t = ??

70 + 20(14) = 350

What is the temperature of the oven t minutes after being turned on?

The temperature of the over per minute is represented by the expression 70 + 20t, when t = the minutes after being turned on

(03.06 LC)
Choose the equation below that represents the line that passes through the point (-2,-1)
and has a slope of 5.

Answers

The line that passes through the point (-2,-1) and has a slope of 5. The equation of the line is y + 1 = 5(x + 2).

What is slope of a line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.

Using the slope and 1 point format:   (y- y₁) = m(x - x₁)  

where m = slope = 5, and point is (x₁, y₁). In this case point (x₁, y₁) = (-2, -1)

x₁ = -2,  y₁ = -1

Using: (y- y₁) = m(x - x₁)

y - -1 = 5(x - -2)

y + 1 = 5(x + 2).

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4 - 1 1/2 please help I’ll put a lot of points

Answers

4-11/2 would be negative 1.5 o -1 1/2
-3/2 or -1.5 or - 1 1/2
either one is fine it’s all the same just different forms or writing it
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The temperature drops to -6 in 1 hour. In the next hour it drops to -8. By how much would the temperature have to rise to get to 0? please help! will give brainliest! Enter the Correct 4 Digit Code (no spaces) Q/ evaluate. (27) 2 over 3 Mr. Vigrass was driving at a constant speed he drove 168 miles in 3 1/2 hours at that speed how many miles will he drive in one hour The Emerging Voices program taught Reyna a numberof valuable lessons. What are those lessons? Select the words that make the sentences true.According to this passage, the British soldiers fired on the colonists by mistake / on command / out of fear. This account suggests that the colonists / merchants / soldiers are to blame. Given the tone and implications, this text was most likely written by a Bostonian / British official / loyalist. Which of the following sentences would be most appropriate in a speech about computers and delivered at a national business electronics conference?O The computer has changed my life, and it's pretty much the most awesome invention of the twentieth century.OBoth Sentences would be appropriate.This new networking system can change the way businesses share information, making the transfer of daily information highly efficient. What is the error in their sentence? Mi madre llama a misabuela. Poppy Co. uses a periodic inventory system. Beginning inventory on January 1 was understated by $30,700, and its ending inventory on December 31 was understated by $16,100. In addition, a purchase of merchandise costing $21,500 was incorrectly recorded as a $2,150 purchase. None of these errors were discovered until the next year. As a result, Poppy's cost of goods sold for this year was: Multiple Choice Understated by $50,050. Overstated by $4,750. Overstated by $33,950. Understated by $33,950. Your original grades on your exams were: 75, 85, 90, 90, 100, 75, 80, 100, 90. You retake the exams and now your scores are: 85, 85, 100, 90, 100, 85, 80, 100, 90. By how many percentage points did you improve your average score? Hint: Find the mean of both sets of data. Then find the difference between the two. Round to the nearest %. 5a3 x 2b2 x 4a2b5/ 3a2 x 5b3 An eleven-foot long board must be cut into three pieces so that one piece is 1-foot shorter than halfthe length of the longest piece and the other piece is 3 feet shorter than the longest piece. Howlong is the shortest piece? Select two statements that describe the role of cytoplasm in maintaining homeostasis for the cell. a. cytoplasm aids in the movement of organelles. b. cytoplasm supports organelles in a gel-like fluid. c. cytoplasm aids in the repair of damaged cell parts. d. cytoplasm contains chloroplasts for photosynthesis. e. cytoplasm produces nutrients used by other organelles. f. cytoplasm controls what crosses into and out of the cell. An interior designer is planning a room but needs to first figure out the dimensions. The length of the room is 17 inches on the architects plan. What is the actual length of the room in feet if the scale of the plan is 1.25 inches to 3 feet? What was the subject matter of a majority ofImpressionistart? How can the rational zero theorem be used to find the zeros of polynomials The stock price for JSR was $52.33 in October. In November the stock had increased by 9%, but in December the price fell by 9%. What was the price of JSR stock in December? Round your answer to the nearest cent, if necessary. Plot the points (-8, 7) and (5, 7) on the coordinate plane below.What is the distance between these two points? what does the atomic theory describe