Identify the quadrant or ask is that the following points lie on if the point lies on an axis specify which part positive or negative of which axis X or Y

Identify The Quadrant Or Ask Is That The Following Points Lie On If The Point Lies On An Axis Specify

Answers

Answer 1

ANSWER

Quadrant II

EXPLANATION

There are four (4) quadrants on the coordinate plane:

Let us now plot the point:

Therefore, the point (-1, 9) lies on quadrant II.

Identify The Quadrant Or Ask Is That The Following Points Lie On If The Point Lies On An Axis Specify
Identify The Quadrant Or Ask Is That The Following Points Lie On If The Point Lies On An Axis Specify

Related Questions

find the measure of a triangle if the vertices of triangle EFG are E(-3,3), F(1,-1), and G(-3,-5). then classify the triangle by its sides

Answers

EFG is a triangle with vertices

E(-3,3), F(1,-1) and G(-3,-5).

First, let us evaluate the length of each side of the triangle using the distanec formula.

[tex]\begin{gathered} EF=\sqrt[]{(1+3)^2+(-1-3)^2} \\ =\sqrt[]{16+16} \\ =\sqrt[]{32} \\ =4\sqrt[]{2} \\ FG=\sqrt[]{(-3-1)^2+(-5+1)^2} \\ =\sqrt[]{16+16} \\ =4\sqrt[]{2} \\ EG=\sqrt[]{(-3+3)^2+(-5-3)^2} \\ =\sqrt[]{8^2} \\ =8 \end{gathered}[/tex]

Since two sides of the triangle are equal, therefore, EFG is an isoscele triangle.

In the picture below, angle 2 = 130 degrees, what is the measurement of angle 1?

Answers

Answer:

50°

Step-by-step explanation:

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] form a linear pair, and are thus supplementary (meaning they add to 180°).

It’s b, 50 degrees because a straight line is 180 degrees, so you just subtract 130 from 180 and it gives you 50.

Jenna organizes the food in her pantry. She organizes 4 cereal boxes, 6 cans, t pieces of fruit, and 2 bags of rice. How many food items does Jenna organize?

Answers

Solution:

The number of food items is given by the following expression:

4 cereal boxes + 6 cans+ t pieces of fruit+ 2 bags of rice

that is, she organizes

4+6+t+2 meals

this is equivalent to

(4+6+2)+t

this is equivalent to say

12 + t meals.

So that the correct answer is:

12 + t

8. Kayla finds the multiplication
facts for 12
by doubling the multiplication facts for 6.
Does Kayla's strategy work?
Use words, numbers, or pictures to explain.

Answers

A strategy is a way to manipulate numbers, use connections and interactions between numbers to solve an issue. For each procedure, there are a few key tactics. The first thing you do with the statistics is frequently used to categorize, characterize, or label a technique.

What is a doubling strategy?By doubling the multiplication facts for 6, Kayla discovers the 12 multiplication facts.The participant does as instructed, multiplying the number twice or three times. Lily, for instance, rolls "4" and "DDD." She believes that double 4 is equal to 8, double 8 to 16, and double 16 to 32. Four times eight equals 32.A number is simply doubled when multiplied by two, according to the two times table. Any number plus itself is the same as any number multiplied by two.The card below depicts the mental image of two groups of six, or double six, that we want pupils to have. (Students who have been using ten-frames may interpret the amount as ten plus two extra.)

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A
Westway Company pays Suzie Chan a weekly pay of:
Social Security tax on salary up to $142,800:
Medicare tax:
The state unemployment rate (SUTA):
FUTA rate:
Required:
Using the information given above, answer the following question:
Note: Use cells A2 to 86 from the given information to complete this question.
1. What is Suzie Chan's yearly salary?
2. How much did Westway deduct for Suzie's Social Security for the year?
3. How much did Westway deduct for Suzie's Medicare for the year?
4. What state unemployment taxes does Westway pay on Suzie's yearly
salary?
5. What federal unemployment taxes does Westway pay on Suzie's yearly
salary?
Graded Worksheet
B
$3,000.00
6.20%
1.45%
5.10%
0.60%

Answers

The Suzie Chan's yearly salary is 156,426 .

The Westway deduct $9,698.412 for Suzie's social security for the year.

The Westway deduct $2268.177 for Suzie's Medicare for the year.

The state unemployment taxes worth $7977.726 deducted from Suzie's salary.

The FUTA taxes worth $938.556 deducted from Suzie's salary.

What is tax?

A tax is a mandatory financial charge or other sort of levy placed on a taxpayer (an individual or legal entity) by an administrative body to pay for certain public expenditures and administrative costs (regional, local, or national).

It is given in the question that weekly salary of Suzie is $3,000.

we know that, there are 365 days in a year and 7 days in a week.

Therefore, weeks in a year = 365/7 = 52.142

Yearly salary is equal weekly salary times weeks in a year.

Yearly Salary = (3000)52.142

yearly Salary = $156,426

Social security taxes are 6.20%

So, 6.20% of 156,426 is $9,698.412

Therefore, The Westway deduct $9,698.412 for Suzie's social security for the year.

Medicare taxes are 1.45%

So, 1.45% of 156,426 is $2268.177

Therefore, The Westway deduct $2268.177 for Suzie's Medicare for the year.

The state unemployment taxes are 5.10%

So, 5.10% of 156,426 is $7977.726

Therefore, The state unemployment taxes worth $7977.726 deducted from Suzie's salary.

The FUTA taxes are 0.60%

So, 0.60% of 156,426 is $938.556

Therefore, The FUTA taxes worth $938.556 deducted from Suzie's salary.

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How do you determine 1 and 2/5 - 6/10 =

Answers

Answer:

[tex]\frac{4}{5}[/tex].

Step-by-step explanation:

1. Write the expression.

[tex]1+\frac{2}{5} -\frac{6}{10}[/tex]

2. Rewrite the fractions with a common denominator.

A common denominator is just a number that can be used as a denominator all fractions when we convert them through multiplications. A common denominator is usually found just by multiplying all denominators of all fractions. In this case, we don't need to go that far, since 5 could be a common denominator.This is how you do it:

[tex]1=\frac{1}{1} *\frac{5}{5}=\frac{5}{5} \\ \\\frac{2}{5}= \frac{2}{5}\\\\\frac{6}{10} =\frac{6/2}{10/2}=\frac{3}{5}[/tex]

3. Take all the rewritten fractions and rewrite the operation.[tex]\frac{5}{5} +\frac{2}{5} -\frac{3}{5}[/tex]

4. Solve.

[tex]\frac{5}{5} +\frac{2}{5} -\frac{3}{5} =\frac{5+2-3}{5} =\frac{4}{5}[/tex]

5. Express your result.

[tex]1+\frac{2}{5} -\frac{6}{10}=\frac{4}{5}[/tex].

Answer:

[tex]\frac{4}{5}[/tex].

Step-by-step explanation:

1. Write the expression.

[tex]1+\frac{2}{5} -\frac{6}{10}[/tex]

2. Rewrite the fractions with a common denominator.

A common denominator is just a number that can be used as a denominator all fractions when we convert them through multiplications. A common denominator is usually found just by multiplying all denominators of all fractions. In this case, we don't need to go that far, since 5 could be a common denominator.This is how you do it:

[tex]1=\frac{1}{1} *\frac{5}{5}=\frac{5}{5} \\ \\\frac{2}{5}= \frac{2}{5}\\\\\frac{6}{10} =\frac{6/2}{10/2}=\frac{3}{5}[/tex]

3. Take all the rewritten fractions and rewrite the operation.[tex]\frac{5}{5} +\frac{2}{5} -\frac{3}{5}[/tex]

4. Solve.

[tex]\frac{5}{5} +\frac{2}{5} -\frac{3}{5} =\frac{5+2-3}{5} =\frac{4}{5}[/tex]

5. Express your result.

[tex]1+\frac{2}{5} -\frac{6}{10}=\frac{4}{5}[/tex].

what are the equations of the asysyoptes of the rational function

Answers

To find the asymptotes, we have to solve the following.

[tex]x^2-4x+3=0[/tex]

We have to find two numbers whose product is 3 and whose sum is 4. Those numbers are 3 and 1.

[tex](x-3)(x-1)=0[/tex]

So, the solutions are x = 3 and x = 1.

Hence, the asymptotes x = 1 and y = 1/2.

The graph below shows the function.

Graph the parabola. I have a picture of the problem

Answers

Let's begin by listing out the given information

[tex]\begin{gathered} y=(x-3)^2+4 \\ y=(x-3)(x-3)+4 \\ y=x(x-3)-3(x-3)+4 \\ y=x^2-3x-3x+9+4 \\ y=x^2-6x+13 \\ \\ a=1,b=-6,c=13 \end{gathered}[/tex]

The vertex of the function is calculated using the formula:

[tex]\begin{gathered} x=-\frac{b}{2a} \\ x=-\frac{-6}{2(1)}=\frac{6}{2}=3 \\ x=3 \\ \\ y=(x-3)^2+4 \\ y=(3-3)^2+4=0^2+4=0+4 \\ y=4 \\ \\ (x,y)=(h,k)=(3,4) \end{gathered}[/tex]

For the function, we assume values for x to solve. We have:

[tex]\begin{gathered} y=(x-3)^2+4 \\ x=1 \\ y=(1-3)^2+4=-2^2+4=4+4 \\ y=8 \\ x=2 \\ y=(2-3)^2+4=-1^2+4=1+4 \\ y=5 \\ x=3 \\ y=(3-3)^2+4=0^2+4=0+4 \\ y=4 \\ x=4 \\ y=(4-3)^2+4=1^2+4=1+4 \\ y=5 \\ x=5 \\ y=(5-3)^2+4=2^2+4=4+4 \\ y=8 \\ \\ (x,y)=(1,8),(2,5),(3,4),(4,5),(5,8) \end{gathered}[/tex]

We then plot the graph of the function:

Lars created a painting with an area of 42 square inches and a length of 6 inches. They create a second painting with an area of 28 square inches. It has the same width as the first painting. What is the length of the second painting?​

Answers

The length of the second painting is 4 in.

What is Area of Rectangle?

Area of rectangle is length times of breadth.

Given that :

Lars created a painting with an area of 42 square inches and a length of 6 inches. now, calculating B of painting using formula :

Area of Rectangle=Length × Width

42 = 6 x b

b = 42/6

b = 8 in.

it is given that :

area of second painting = 28 square inches

and having same width as the first painting that is b =  8 in.

Now, calculating length second of painting using formula :

Area of Rectangle=Length × Width

28 = l x 8

l = 28/8

l = 4 in.

Therefore, the length of the second painting is 4 in.

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What is the driving distance from the police station to an animal shelter

Answers

The coordinates of the Police station is (0, -4)

The coordinates of Animal shelter is (6,- 2)

The distance between the Police station and the Animal shelter is given by the formoula;

[tex]\begin{gathered} \text{Distance}=\sqrt[]{(x_2-x_1)^2+(y}_2_{}-y_1)^2_{} \\ \text{Distance}=\sqrt[]{(6-0)^2+(-2--4)^2}=\text{ }\sqrt[]{6^2+2^2} \end{gathered}[/tex][tex]\text{Distance}=\sqrt[]{36+4}\text{ = }\sqrt[]{40}=\text{ 6.325}\approx6.33[/tex]

Mr. Edmonds is packing school lunches for a field trip for the 6th graders of Apollo Middle school. He has 50 apples and 40 bananas chips. Each group of students will be given one bag containing all of their lunches for the day. Mr. Edmonds wants to put the same number of apples and the same number of bananas in each bag of lunches. What is the greatest number of bags of lunches Mr. Edmonds can make? How many apples and bananas will be in each bag?

Answers

The greatest number of bags of lunches Mr. Edmonds can make = 40, And , in each bag there will be one apple and one banana chips bag.

In the above question, the following information is given :

Mr. Edmonds wants to pack lunches for the schools field trip where he wants to put the same number of apples and the same number of bananas in each bag of lunches

We are given that,

Number of available bananas chips packs = 40

Number of available apples = 50

We need to find the greatest number of bags of lunches Mr. Edmonds can make

As the pair should be an even number and we have less number of banana chips bags than apples. So the number of lunches which can be packed with equal number of apples and banana chips bags depend on banana chips bags

Therefore, the greatest number of bags of lunches Mr. Edmonds can make = 40

And , in each bag there will be one apple and one banana chips bag.

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Which of the following statements about the table is true?
Select all that apply.
The table shows a proportional relationship.
All the ratios for related pairs of x and y are equivalent to 7.5.
When x is 13.5, y is 4.5.
When y is 12, x is 4.
The unit rate of for related pairs of x and y is .
26
22 Undertond Proportional Relationships: Fouivalent Ratios
C
C
y
10.5 3.5
15.9 5.3
22.5 7.5
27
9
3

Answers

Answer:

there is a lot of ratios here, but I will try my best. A proportional relationship is the relationship that is proportional obviously. and if the ratio is related, pairs are equivalent to 7.5 then that must mean that the proportional relationship is fuevalent

Not sure how to approach this question whether to use the factor theorem or to use the synthetic division

Answers

EXPLANATION

If x+2 is a factor, we need to equal the factor to zero, isolate x and substitute the value into the function:

[tex]x+2=0\text{ --> x=-2}[/tex]

Plugging in x=-2 into the function:

[tex]P(-2)=(-2)^4-2(-2)^2+3m(-2)+64[/tex]

Computing the powers:

[tex]P(-2)=16-2*4-6m+64[/tex]

Multiplying numbers:

[tex]P(-2)=16-8-6m+64[/tex]

Adding numbers:

[tex]P(-2)=72-6m=0[/tex]

Adding +6m to both sides:

[tex]72=6m[/tex]

Dividing both sides by 6:

[tex]\frac{72}{6}=m[/tex]

Simplifying:

[tex]12=m[/tex]

In conclusion, the value of m is 12

Drag the factors to the correct locations on the image. Not all factors will be used.What is the factored form of this expression?27 m 3 + 125n39m + 25n9m2 - 15mn + 25n23m + 5n9m2 + 15mn + 2523m2 – 8mn + 5123m - 5n

Answers

[tex]27m^3+125n^3=(3m+5n)(9m^2-15mn+25n^2)[/tex]

1 B 0 A C If the distance from point A to point C is 7.5 units and O=40°, find the distance from point A to point B to the nearest tenth. (1 Point) a. 8.9 b. 4.7 C. 6.3 d. 2.5

Answers

Answer

Option C is correct.

AB = 6.3 units

Explanation

In a right angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

Using trignometric relations, we can see that TOA wil work for this

Tan θ = (Opp/Adj)

θ = 40°

Opp = AB = ?

Adj = AC = 7.5 units

Tan 40° = (Opp/7.5)

Opp = AB = 7.5 (Tan 40°) = 6.3 units

Hope this Helps!!!

Help me please Circle describe and correct each error -2=-3+x/4-2(4)-3+x/4•48=-3+x+3X=11

Answers

Answer

The error in the solution is circled (red) in the picture below.

The equation can be solved correctly as follows

[tex]\begin{gathered} -2=\frac{-3+x}{4} \\ \\ Multiply\text{ }both\text{ }sides\text{ }by\text{ }4 \\ \\ -2(4)=\frac{-3+x}{4}\cdot4 \\ \\ -8=-3+x \\ \\ Add\text{ }3\text{ }to\text{ }both\text{ }sides \\ \\ -8+3=-3+x+3 \\ \\ x=-5 \end{gathered}[/tex]

Section 5.2-10. Solve the following system of equations by substitution or elimination. Enter your answer as (x,y).-2x+3y = 15-x-3y = 12

Answers

[tex]-2x+3y=15\ldots\ldots1)[/tex][tex]-x-3y=12\ldots\ldots\ldots\ldots\text{2)}[/tex]

1)-2x2)

[tex]-2x+3y-(-2x-6y)=15-2\times12\Rightarrow-2x+3y+2x+6y=15-24\Rightarrow9y=-9\Rightarrow y=-1[/tex]

y=-1 implies

[tex]-2x+3\times(-1)=15\Rightarrow-2x-3=15\Rightarrow-2x=18\Rightarrow x=-9[/tex]

Hence the solution is

[tex](-9,-1)[/tex]

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object. Scale factor. 4:1 10 in 10 in A C 12 in Scale drawing Object A. Side a is 6 inches long, side bis 6 inches long, and side cis 8 inches long. B. Side a is 14 inches long, side bis 14 inches long, and side cis 16 inches long. C. Side a is 40 inches long, side bis 40 inches long, and side c is 48 inches long D. Side a is 2.5 inches long, side bis 2.5 inches long, and side cis 3

Answers

As the scale factor is 4:1 it means that for each 4inches in scale drawing correspond to 1 inch in the object.

Then, to find the side lengths in the object you multiply the measure of each side in the scale drawing by 1/4:

[tex]\begin{gathered} 10in\cdot\frac{1}{4}=2.5in \\ \\ 10in\cdot\frac{1}{4}=2.5in \\ \\ 12in\cdot\frac{1}{4}=3in \end{gathered}[/tex]Then, side a is 2.5 inches, side b is 2.5in and side c is 3inches

The price of a notebook has risen to $3.35 today. Yesterday's price was $3.10. Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

The percent of increasing = amount of increasing/original amount x 100%

Since the price of the notebook on one day is $3.10

Since it is increased to $3.35

Then the amount of increasing = 3.35 - 3.10 = 0.25 dollars

Since the original price is 3.10

By using the rule above

[tex]\text{Percent}=\frac{0.25}{3.10}\times100[/tex]

The percent of increasing = 8.064516%

Round it to the nearest tenth

The percent of the increase is 8.1%

A union voted on whether to go on strike 120 people vote the ratio of yes and no votes is 2:3 how many people vote no

Answers

Answer:

80

Step-by-step explanation:

This is a ratio and we can set it up as follows and solve for x:

[tex]\frac{2}{3} = \frac{x}{120}[/tex]

Multiply both sides by 120

80 = x

Add the digits of the ratio 2:3 = 2+3 = 5
Divide 120 / 5 = 24
Then multiply the individual digits of ratio (2:3) by 24
2 x 24 = 48
3 x 24 = 72
Put these numbers together in a ratio, 48:72
Therefore 72 people voted no.
Hope this helps

if a fraction product always l esser than the lesser factor

Answers

We have that whenever you multiply two positive fractions, the product will be smaller than both factors. For example, if we have the following:

[tex]\frac{1}{2}\cdot\frac{3}{4}=\frac{3}{8}[/tex]

notice that both factors are fractions and the product is less than both factors.

Given the recursive formula for an arithmetic sequence,An = an-1 - Tt, where the first term of the sequence is 7. Which of the following could be explicitformulas for the sequence? Select all that apply.

Answers

From the recursive formula:

[tex]a_n=a_{n-1}-\pi[/tex]

we notice that the common difference of the sequence is -pi. Now we know that the first term is 7, then the explicit formula is:

[tex]a_n=7-\pi(n-1)[/tex]

when

[tex]n>0[/tex]

We can relabel this sequence if we assume we start at zero, in this case the sequence will be:

[tex]a_n=7-\pi n[/tex]

when:

[tex]n\ge0[/tex]

I just need to know the answer quick because I have to go somewhere

Answers

From the given graph, it is seen that f(x) is not defined for x<-4. The function g(x) is not defined for x>2

But the function p(x) represents a straight line which is defined for all real x.

Hence, the function p(x) has all real numbers as its domain.

Thus, the correct option is (D)

eln(x-3) = 9what are the steps to solve? I am so confused, what is ln even??

Answers

[tex]e^{In(x-3)}=9^{}[/tex][tex]Ine^{In(x-3)}=In\text{ 9}[/tex][tex]In(x-3)=In\text{ 9}[/tex][tex]\begin{gathered} x-3=9 \\ x=9+3 \\ x=12 \end{gathered}[/tex]

Household Income
Under $50,000
$50,000 under $75,000
$75,000 under $150,000
$150,000 or above
Percentage
27.2
27.3
37.2
8.3
Event
ABCD

Suppose that a household with home Internet access only is selected at random. Apply the
special addition rule to find the probability that the household obtained has an income
a. under $75,000.
b. $50,000 or above.
c. between $50,000 and (under) $150,000
d. Interpret each of your answers in parts (a) - (c) in terms of percentages
e. Use the complement rule to answer part (b) in this exercise.

Answers

The probability for household with income under $75,000 is 54.5/100. the probability for household with income $50,000 or above is 72.8 /100, and the probability for household with income between $50,000 and (under) $150,000 is 64.5/100.

What is probability?

Probability describes potential. This area of mathematics examines how random events happen. The value might be between 0 and 1. Mathematicians have used probability to forecast the likelihood of certain events. In general, probability relates to how likely something is to happen. You can better understand the potential results of a random experiment by using this fundamental theory of probability, which also holds true for the probability distribution. To calculate the likelihood that an event will occur, we first need to know how many possible possibilities there are.

As given in the question,

Household with Income $50,000 are 27.2%

$50,000 - $75,000 are 27.3%

$75,000 - $150,000 are 37.2%

$150,000 or above are 8.3%

a) we have to find the probability for household with income under $75,000

So, Households having income under $75,000 are equal to:

(27.3 + 27.2)% = 54.5%

Therefore, probability = 54.5/100

b) we have to find the probability for household with income $50,000 or above,

So, household with income $50,000 or above are equal to:

(27.3 + 37.2 + 8.3)% = 72.8%

Therefore, probability = 72.8 /100

c) we have to find probability for household with income between $50,000 and (under) $150,000.

so, household with income between $50,000 and (under) $150,000 are equal to:

(27.3 + 37.2)% = 64.5%

Therefore, probability = 64.5/100

d) answer a can be interpret in percentage as 54.5%

answer b can be interpret in percentage as 72.8%

answer c can be interpret in percentage as 64.5%

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Find the vertical and horizontal lines that passes through the point (3,6).

Answers

We have to find the vertical and horizontal lines that passes through the point (3,6).

A vertical line will be defined as x = constant. If it passes trough a point (x,1,y1), the line will be defined as a x=x1, so the point (x1,y1) belongs to the line.

The same goes for horizontal lines, but in this case the line is defined as y = constant.

For a point (x1,y1), the horizontal line that pass through the point will be y = y1.

Then, for point (x,y)=(3,6), the vertical and horizontal lines as:

x=3 and y=6.

Answer:

Vertical line: x = 3

Horizontal line: y = 6.

Hurry and answer this pls Bc this have to be turned in

Answers

[tex]\begin{gathered} P1(0,0) \\ P2(5,-1) \\ \text{slope}=\frac{y2-y1}{x2-x1}=\frac{-1-0}{5-0}=\frac{-1}{5} \\ \text{slope}=\frac{-1}{5} \\ \text{S}tatements \\ \text{The slope of the line is }\frac{-1}{5} \\ \text{The x }and\text{ y intercepts }of\text{ the graph }are\text{ the same} \\ \\ \\ \end{gathered}[/tex]

during happy hour appetizers are at 30% off how much would each appetize your cost show the original price your math and discounted price

Answers

EXPLANATION

Let's see the facts:

Appetizers = 30%

The discount price is given by the following equation:

Discount percentage=

Could you send me a screenshot of the question for better understanding, please?

Write an equation of the line that passes through (-4,-5) and is parallel to the line defined by 4x +y = -5. Write the answer inslope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot bewritten" button, if applicable.The equation of the line in slope-intercept form:

Answers

Answer: y = -4x - 21 OR 4x + y = -21

The given line is 4x + y = -5

Given point = (-4, -5)

Step 1: find the slope of the line

The slope intercept form of equation is given as

y = mx + b

Re -arrange the above equation to slope - intercept form

4x + y = -5

Isolate y

y = -5 - 4x

y = -4x - 5, where m = -4

Since the point is parallel to the equation

Therefore, m1 = m2

m2 = -4

For a given point

(y - y1) = m(x - x1)

Let x1 = -4, and y1 = -5

[(y - (-5)] = -4[(x - (-4)]

[y + 5] = -4[x + 4]

Open the parentheses

y + 5 = -4x - 16

y = -4x - 16 - 5

y = -4x - 21

The equation is y = -4x - 21 or 4x + y = -21

A ball is kicked up in the air from the ground. The height of the ball can be modeled as a function of time in seconds. This function is represented on the graph below. Enter the average rate of change for the height of the ball, measured as feet per second, between 0 seconds and 2 seconds._[blank]_ feet per secondEnter your answer as a number, like this: 42

Answers

ANSWER:

2

STEP-BY-STEP EXPLANATION:

The average rate of change is given by the following formula:

[tex]r=\frac{f(b)-f(a)}{b-a}[/tex]

Since it is between 0 and 2 seconds, the values of a and b will be these respectively, the evaluated values can be determined by the graph, therefore:

[tex]\begin{gathered} r=\frac{4-0}{2-0}=\frac{4}{2} \\ \\ r=2\text{ feet pe second } \end{gathered}[/tex]

The average rate of change is equal to 2 feet per second

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the solow model shows that a key determinant of the steady-state ratio of capital to labor is the: level of output. labor force. saving rate. capital elasticity in the production function. j. s. bach's orchestral suite no. 3 was originally meant for performance with a group of university students and professional musicians that performed weekly concerts at _______. Summarize how the nervous system interacts with at least 3 other systems in the body. # 19. Write the molecular, ionic and net ionic equation, with the phases of matter for the reaction between Barium acetate + Sodium phosphate --> Barium phosphate + Sodium acetate.(a) Write the correct formulas for the molecular equation (b) balance the equation (c) identify the spectator ions (d) Write the ionic equation and (e) Write the net ionic equation. Solve the inequality below to determine and state the smallest possible value of x in the solution set. - 7(x + 4) + 3x < 8x - 2(2x - 2) How many gigaton of carbon do animals produce. What does the line of best fit indicate about the correlation between the variables? A circle Is cut from a square piece of cloth as shown How many square inches of cloth are cut from the square 1,061.32in22,122.64in22,704.00in23,622.31in2 What is the domain for the following function? 2x . - 3 O A. (x+3) O B. {**-3) O c. {*#0 O D. all real number ers Directions:For questions 12-16 simplify using the given replacement valued. There should be no decimals, convert all decimals to fractions. (Do not change whole numbers)I need help with 14 Andrew constructed a triangle so that the measurement of 1 and 2 were congruent. if angle 3 measured 70 degrees, what is the measure of angle 1? B) Use the quadratic formula to find the roots of each quadratic function. Which of the following is the solution to the compound inequality below?5 + x>3or6x +1 -29O A. x2 - 7or14X suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 15 days and a standard deviation of 5 days. let x be the number of days for a randomly selected trial. round all answers to 4 decimal places where possible. a. what is the distribution of x? x ~ n( , ) b. if one of the trials is randomly chosen, find the probability that it lasted at least 12 days. c. if one of the trials is randomly chosen, find the probability that it lasted between 17 and 22 days. d. 72% of all of these types of trials are completed within how many days? (please enter a whole number) The mass of a typical comet is about 1 x 103 kg, while the mass of a typical asteroid is about 3 x 10 kg.Approximately how many times the mass of a typical comet is the mass of a typical asteroid?100,000 times300,000 times1,000,000 timesO 3,000,000 times a chemist has three different acid solutions. the first acid solution contains 25 % acid, the second contains 45 % and the third contains 85 % . he wants to use all three solutions to obtain a mixture of 95 liters containing 65 % acid, using 3 times as much of the 85 % solution as the 45 % solution. how many liters of each solution should be used? What is NOT a symptom of a reading disorder such as dyslexia?1) Trouble focusing on an instructor's aural lectures2) The inability to distinguish sounds in spoken words3) Difficulty remembering new concepts that are written down4) Trouble relating new ideas to those stored in memory Mr. and Mrs. Tournas know that their son will attend a college, in 14 years, that they estimate to cost approximately $250,000How much should they deposit now if they assume that they can earn 8.5% compounded annually? I will send a picture of the problem and or question A laptop computer originally priced at $1,700 now sells for $1,800. What is the percent of increase?%.The percent of increase is(Type an integer or decimal rounded to one decimal place as needed.)