Triangle A is rotated 90° about the origin. Which triangle shows the image?

Triangle A Is Rotated 90 About The Origin. Which Triangle Shows The Image?

Answers

Answer 1

Rotation 90° about the origin.

First, choose a point from triangle A.

For example: (-2,2)

For any point (x,y) rotated 90° =(-y,x)

So:

(-2,2) becames = (-2,-2)

Triangle D


Related Questions

What is the area of this trapezoid? Enter your answer in the box. ft2

Answers

Given the figure, we can deduce the following information:

Upper base = 15 ft

Lower base = 37 ft

Height = 18 ft

To determine the area of a trapezoid, we use the formula:

[tex]A=\frac{a+b}{2}h[/tex]

where:

A=Area

a=upper base

b=lower base

h=height

We plug in what we know:

[tex]\begin{gathered} A=\frac{a+b}{2}h \\ =\frac{15+37}{2}(18) \\ \text{Simplify} \\ A=\frac{52}{2}(18) \\ =\frac{936}{2} \\ A=468ft^2 \end{gathered}[/tex]

Therefore, the area of the trapezoid is 468 ft^2.

Find the value of x so that f(x) = 7.YA6f4200246XX =

Answers

The blue line in the graph indicates the function f(x).

The values in the y-axis are the value of the function, that is, the value of f(x) for a given value of x. The x-axis indicates what value of x generates the value in the y-axis.

So, if we want to find the value of x that gives us f(x) = 7, we need to find where is the value '7' in the y-axis, then we draw an horizontal line from this value toward the line of the function (blue line).

This horizontal line will intersect the function in a certain point. This point is where the function has the value 7.

Now, to find the value of x of this point, we draw a vertical line from this point downwards, until it intersects the x-axis.

This way, looking at the image, we can see that the value of x that gives us f(x) = 7 is the value x = 5.

Select the similarity transformation(s) that make ABC similar to EDC.

Answers

Given the triangles ABC and EDC

We will find the transformation that makes the triangles are similar

As shown: the triangles are reflected over the y-axis

the rule of the reflection over the y-axis will be as follows:

[tex](x,y)\rightarrow(-x,y)[/tex]

And as shown, the length of the side AB = 3 units

And the length of the side ED = 1 units

So,

[tex]ED=\frac{1}{3}AB[/tex]

So, the answer will be:

D) (x,y) ⇒ (-x, y)

E) (x,y) ⇒ (1/3 x, 1/3 y)

Find a unit vector u with the same direction as v = : (-3, 8)

Answers

Given:

The vector

[tex]v=<-3,8>[/tex]

Required:

To find the unit vector u with the same direction.

Explanation:

Unit formula is the vector is divided by its magnitude.

Now the magnitude of v is,

[tex]\begin{gathered} mag.v=\sqrt{(-3)^2+8^2} \\ =\sqrt{9+64} \\ =\sqrt{73} \end{gathered}[/tex]

Now the unit vector is,

[tex]u=<-\frac{3}{\sqrt{73}},\frac{8}{\sqrt{73}}>[/tex]

Final Answer:

[tex]u=<-\frac{3}{\sqrt{73}},\frac{8}{\sqrt{73}}>[/tex]

kmarks Solve the following system of equations graphically on the set of axes below 1 y 22 - 4 y = -X – 7 Plot two lines by clicking the graph. Click a line to delete il. y 10 9 8 7 6 5 4 3 2. 1 5 6 7 8 9 10

Answers

Explanation:

For the first line :

1. Draw a line which has a slope of 1 /2

2. Adjust the line so that it has a y-intercept of -4.

For the second line:

1. Draw a line which has a slope of -1

2. Adjust this line so that it has a y-intercept of -7.

Finally, find the point where the two lines intersect.

The coordinates of the point of intersection are the solution to our system.

To get a line which has a slope 1/2, you start from (0, -4 ) and then move 2 units to the right and then 1 unit up.

Consider the equation below. 4(x - 4) + 6x = 14 Part A: Enter the value for x that makes the equation true. X = Part B: Explain the algebraic steps you took to get the solution. thea Part C: Explain how you know your solution in Part A is correct.

Answers

Part A) To find out the value for x that makes it an identity, (true), we need to solve it.

4(x-4) +6x=14 Distiribute

4x -16 +6x = 14 Combine like terms

2x -16 = 14 Add 16 to both sides

2x = 30 Divide both sides by 2

x =15

Part B) Above explained.

Part C) We can know it by plugging it into the original equation:

4(15 -4) +6(15) = 14

4(11) +90 = 14

44

A boat travels 82 km on a 160 degree course. Find the distances it travel south and east, respectively

Answers

A boat travels 82 km on a 160-degree course. Find the distances it travels south and east, respectively

see the attached figure to better understand the problem

step 1

Find out the East's distance (dx)

we have that

cos(20)=dx/82

dx=82*cos(20)

dx=77.05 Km

step 2

Find out the South's distance (dy)

sin(20)=dy/82

dy=82*sin(20)

dy=28.05 Km

How do the coordinates of the blue point relate to the solution of the equation 3x = x + 4

Answers

we have the following:

They are related in the way taht if we replace, in both equations it gives the same result:

[tex]\begin{gathered} 3x=2\cdot3=6 \\ x+4=2+4=6 \end{gathered}[/tex]

Jamal is comparingprices of several different brandsof peanuts. Which brand is thebest buy? Explain.

Answers

So we need to figure out which is the best buy. In order to do this we must look at a particular variable: the price per ounce of peanuts. This price is given by dividing the total price of a certain amount of peanuts divided by its weight in ounces. So for the Barrel brand we get:

[tex]\frac{3.39}{10}=0.339[/tex]

So the Barrel peanuts cost $0.339 per ounce. For the Mr. Nut peanuts we get:

[tex]\frac{4.54}{14}=0.324[/tex]

Then the Mr. Nut peanuts cost $0.324 per ounce. Finally, the price per ounce of the Chip's peanuts is:

[tex]\frac{6.26}{18}=0.348[/tex]

Then, the cheapest peanuts are those of the brand Mr. Nut and that is the best buy.

How do i dilate a scale factor by 2?

Answers

The dilated figure is larger than the original figure if the dilation factor is greater than 1 and the dilated figure becomes smaller than the origial figure if the dilation factor is less than 1.

Since, the dilation factor is 2, the dilated image is larger than the original figure two times.

For the coordinate (x,y) in original figure, the coordiante in the dilated figure will be (2x,2y).

White the standard form of the equation of the line through the given point with the given slope.

Answers

The standard form equation of a line is expressed as

Ax + By = C

where

A, B and C are real numbers and A and B are not both zero. From the information given,

the line passes through(- 2, 5) and slope = - 4

We would find the y intercept of the line, c by substituting slope, m = - 4, x = - 2 and y = 5 into the slope intercept equation which is expressed as

y = mx + c

Thus, we have

5 = - 4 * - 2 + c

5 = 8 + c

c = 5 - 8 = - 3

Thus, the equation of the line in the slope intercept form is

y = - 4x - 3

We would convert it to standard form. Thus, we have

y + 4x = - 3

4x + y = - 3

Thus, the equation in standard form is

4x + y = - 3

5. (20 x 5 + 10) - (8 × 8 - 4)=
a. 58
b. 50
c. 40

Answers

Answer:

b. 50

Step-by-step explanation:

20 x 5 + 10 = 110

8 × 8 - 4 = 60

110 - 60 = 50

Answer:

b. 50

Step-by-step explanation:

(20x5+10)- (8x8-4)

(100+10) - (64-4)

110 - 60

equals 50

Solve the inequality: 3x + 4 ≤ 5
Answer in interval notation.

Answers

Answer: [tex]x\leq 1/3\\[/tex]

Step-by-step explanation:  

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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WILL MARK BEST ANSWER BRAINLIEST

The system of conics has two solutions.

(x−1)2+(y+4)2=25(x−1)225+(y+4)2100=1

What are the solutions to this system of conics?

Enter your answer by filling in the boxes.

Answers

Answer:

(2,0)  and (-2,0)

Step-by-step explanation:

pls mark me Brainliest

Answer: (-4,-4) (6,-4)

Step-by-step explanation:

I took the test and it said these were the corrects answers.

how do I know which picture goes with the correct equation

Answers

If B is between A and C, but B is not midpoint, then the graph would be

The equation would be

[tex]AC=AB+BC[/tex]

On the other hand, if B is between A and C, and B is a midpoint, the graph would be

The equation would be

[tex]AB=BC[/tex]

can u help me w this i got it incorrect and can’t figure out why

Answers

1) We can see here a case in which there are two secant lines coming from a single point over that circle.

2) So, we can write out the following relation

[tex]\begin{gathered} PA\cdot PB=PC\cdot PD \\ 4(4+x)=5(5+7) \\ 16+4x=25+35 \\ 16+4x=60 \\ 16-16+4x=60-16 \\ 4x=44 \\ \frac{4x}{4}=\frac{44}{4} \\ x=11 \end{gathered}[/tex]

Find the probability of at least 2 girls in 6 births. Assume that male and female births are equally likely and that the births are independent events.0.6560.1090.2340.891

Answers

We need to use Binomial Probability.

Of 6 births, we want to find the probability of at least 2 of them being girls.

To solve this, we need to find:

Probability of exactly 2 girls

Probability of exactly 3 girls

Probability of exactly 4 girls

Probability of exactly 5 girls

Probability of exactly 6 girls

If we add all these probabilities, we get the probability of at least 2 girls.

To find the probabilities, we can use the formula:

[tex]_nC_r\cdot p^r(1-p)^{n-r}[/tex]

Where:

n is the number of trials (in this case, the number of total births)

r is the number of girls we want to find the probability

p is the probability of the event occurring

[tex]_nC_r\text{ }is\text{ }the\text{ }combinatoric\text{ }"n\text{ }choose\text{ }r"[/tex]

The formula for "n choose r" is:

[tex]_nC_r=\frac{n!}{r!(n-r)!}[/tex]

Then, let's find the probability of exactly 2 girls:

The probability of the event occurring is:

[tex]P(girl)=\frac{1}{2}[/tex]

Because there is a 50% probability of being a girl or a boy.

let's find "6 choose 2":

[tex]_6C_2=\frac{6!}{2!(6-2)!}=\frac{720}{2\cdot24}=15[/tex]

Now we can find the probability of exactly 2 girls:

[tex]Exactly\text{ }2\text{ }girls=15\cdot(\frac{1}{2})^2(1-\frac{1}{2})^{6-2}=15\cdot\frac{1}{4}\cdot(\frac{1}{2})^4=\frac{15}{4}\cdot\frac{1}{16}=\frac{15}{64}[/tex]

We need to repeat these calculations for exactly 3, 4, 5, and 6 girls:

Exactly 3 girls:

let's find "6 choose 3":

[tex]_6C_3=\frac{6!}{3!(6-3)!}=\frac{720}{6\cdot6}=20[/tex]

Thus:

[tex]Exactly\text{ }3\text{ }girls=20\cdot(\frac{1}{2})^3(1-\frac{1}{2})^{6-3}=20\cdot\frac{1}{8}\cdot\frac{1}{8}=\frac{5}{16}[/tex]

Exactly 4 girls:

"6 choose 4":

[tex]_6C_4=\frac{6!}{4!(6-4)!}=\frac{720}{24\cdot2}=15[/tex]

Thus:

[tex]Exactly\text{ }4\text{ }girls=15\cdot(\frac{1}{2})^4(1-\frac{1}{2})^{6-4}=15\cdot\frac{1}{16}\cdot\frac{1}{4}=\frac{15}{64}[/tex]

Exactly 5 girls:

"6 choose 5"

[tex]_6C_5=\frac{6!}{5!(6-5)!}=\frac{720}{120}=6[/tex]

Thus:

[tex]Exactly\text{ }5\text{ }girls=6\cdot(\frac{1}{2})^5(1-\frac{1}{2})^{6-5}=6\cdot\frac{1}{32}\cdot\frac{1}{2}=\frac{3}{32}[/tex]

Exactly 6 girls:

"6 choose 6"

[tex]_6C_6=\frac{6!}{6!(6-6)!}=\frac{720}{720\cdot0!}=\frac{720}{720}=1[/tex]

Thus:

[tex]Exactly\text{ }6\text{ }girls=1\cdot(\frac{1}{2})^6(1-\frac{1}{2})^{6-6}=\frac{1}{64}\cdot(\frac{1}{2})^0=\frac{1}{64}[/tex]

now, to find the answer we need to add these 5 values:

[tex]\frac{15}{64}+\frac{5}{16}+\frac{15}{64}+\frac{3}{32}+\frac{1}{64}=\frac{57}{64}=0.890625[/tex]

To the nearest tenth, the probability of at least 3 girls is 0.891, thus, the last option is the correct one.

convert this number into scientific notation 0.00098

Answers

We have to convert the number into scientific notation.

The number is 0.00098.

We start by expressing it as a fraction.

If we divide it by 10, we can express it as:

[tex]\frac{0.00098\cdot10}{10}=\frac{0.0098}{10}[/tex]

Dividing by 10 is not enough. In the same way, we have to look a numerator that is multiple of 10 that gives us a numerator that is 9.8.

We would get:

[tex]\frac{0.00098\cdot10000}{10000}=\frac{9.8}{10000}[/tex]

Now we have the numerator we need.

We now express the denominator 10,000 as a power of 10 and we get the number in scientific notation as:

[tex]\frac{9.8}{10000}=\frac{9.8}{10^5}=9.8\cdot10^{-5}[/tex]

Answer: 0.00098 = 9.8 * 10^(-5)

how much is 2 gallons in quarts

Answers

how much is 2 gallons in quarts

Answer:

8 quarts

The sides of an L-shaped figure meet all the right angles

Answers

ANSWER:

24 ft²

STEP-BY-STEP EXPLANATION:

To determine the area of the figure, we must divide the L-shaped figure into two rectangles just like this:

We calculate the area of each rectangle and the sum of both areas would be the area of the L-shaped figure, in the following way:

[tex]\begin{gathered} A_1=L\cdot W=6\cdot2=12\text{ ft}^2 \\ \\ A_2=L\cdot W=3\cdot4=12\text{ ft}^2 \\ \\ \text{ Therefore:} \\ \\ A_t=A_1+A_2=12+12 \\ \\ A_t=24\text{ ft}^2 \end{gathered}[/tex]

The area of the L-shaped figure is equal to 24 ft².

can i get some help please?

Answers

[tex]\begin{gathered} \text{First, find the slope of the graph} \\ \text{two points are (-1, 0) and (1, -6)} \end{gathered}[/tex][tex]\text{slope m = }\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{-6-0}{1-(-1)}=\frac{-6}{2}\text{ = -3}[/tex][tex]\begin{gathered} \text{calculate the equation of the line using slope and one point form} \\ y-y_1=m(x-x_1) \\ m=-3,usingpoint(-1,0),x_1=-1,y_1=\text{ 0} \\ y-0\text{ = -3( x-(-1))} \\ y=-3(x+1) \\ y=-3x-3 \end{gathered}[/tex]

This is matching:#1 If solving a problem with population growth compounding CONTINUOUSLY, which of the following formulas would you use?#2 If solving a problem with population growth compounding ANNUALLY, which of the following formulas would you use?#3 If solving a problem with population growth compounding QUARTERLY, which of the following formulas would you use?#4 If solving a problem with continuously compounding interest, which of the following formulas would you use?A: A(t)=P(1+r÷n)^ntB: A(t)=Pe^rtC: P(t)=P0(1+r)^tD: P(t)=P0^e^rt

Answers

#1

The formula for continuous compounding is:

[tex]A(t)=P_{}e^{r\cdot t}[/tex]

#2

Since the population grows compounding annually, we have that:

[tex]P(t)=P_0(1+r)^t[/tex]

#3

For a problem with population growth compounding quarterly, we have to divide the rate between n=4, therefore:

[tex]A(t)=P(1+\frac{r}{n})^{n\cdot t^{}}[/tex]

#4

Finally, for continuously compounded interest we have the formula:

[tex]P(t)=P_0e^{r\cdot t}[/tex]

A glass aquarium is in the form of a rectangular parallelepiped with dimensions 50cm by 100cm, and its depth is 30cm.How many liters of water will it hold?

Answers

Hello! To find the number of liters of water, we have to calculate the volume of the parallelepiped:

The formula of the volume is:

[tex]\begin{gathered} \text{Volume = a}\times\text{ b }\times\text{c} \\ \text{Volume = 50}\times\text{100}\times\text{30} \\ \text{Volume = }150,000\operatorname{cm}^3 \end{gathered}[/tex]

Now that we know the volume, we have to convert cm³ to liters.

For this, we must remember:

1cm³ = 0.001 liter

Multiplying by rule of three, we will obtain:

[tex]\begin{gathered} 1\cdot x\text{ = 150,000 }\cdot\text{ 0.001} \\ x\text{ = 150 liters} \end{gathered}[/tex]

What values of z and y make angle ABC = RPM?

Answers

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

If triangles ABC and RPM are congruent, it means that:

[tex]\begin{gathered} AB=RP \\ BC=PM \\ AC=RM \\ m\angle A=m\operatorname{\angle}R \\ m\operatorname{\angle}B=m\operatorname{\angle}P \\ m\operatorname{\angle}C=m\operatorname{\angle}M \end{gathered}[/tex]

For x, we have that:

[tex]\begin{gathered} BC=PM \\ BC=43 \\ PM=3x-8 \end{gathered}[/tex]

Thus, we have that:

[tex]\begin{gathered} 43=3x-8 \\ 3x=43+8=51 \\ x=\frac{51}{3} \\ x=17 \end{gathered}[/tex]

For y, we have:

[tex]\begin{gathered} m\operatorname{\angle}B=m\operatorname{\angle}P \\ m\operatorname{\angle}B=12y\degree \\ m\operatorname{\angle}P=62.4\degree \end{gathered}[/tex]

Thus, we have that:

[tex]\begin{gathered} 12y=62.4 \\ y=\frac{62.4}{12} \\ y=5.2 \end{gathered}[/tex]

Therefore, the answers are:

[tex]x=17,y=5.2[/tex]

The LAST OPTION is correct.

Describe the translation:A) 4 units right and 6 units downB) 4 units left and 6 units upC) 6 units left and 4 units upD) 6 units right and 4 units down

Answers

To describe the transfer we will review what the points of the blue and red triangle are.

Blue triangle

I = (-2, 8)

I' = (4, 4)

First, we will determine the x-axis translation

[tex]\begin{gathered} \Delta x=x2-x1 \\ \Delta x=4-(-2) \\ \Delta x=6 \end{gathered}[/tex]

6 units right

Now let's calculate the y-axis transfer

[tex]\begin{gathered} \Delta y=y2-y1 \\ \Delta y=4-8 \\ \Delta y=-4 \end{gathered}[/tex]

4 units down

The answer would be 6 units right and 4 units down​

complete the following: 1. Find the locus of points whose: (a) ordinate saquare decressed by the square of the abscissa is the sum of the coordinates

Answers

P(x,y) is the coordinate point of the locus

ordinate is y

abscissa is x

Following the sentence we have

ordinate square y^2

decreased means subtract

square of the abscissa x^2

is means equal

the sum of the coordinates x+y

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

Farrah borrows $18,000 to purchase a new car. The annual interest rate for the 60-month loan is 4.3%.If she makes all the monthly payments, what is the total amount of interest she will pay on the loan?

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Principal = $ 18,000

Time = 60 month = 60/ 12 = 5 years

Interest = 4. 3%

Step 2:

The total amount she will pay at the end of the 5 -year period is given as follows:

[tex]\begin{gathered} A\text{ = P ( 1 + }\frac{R}{100})^t \\ A\text{ = 18000 ( 1 + }\frac{4.3}{100})^5 \\ \end{gathered}[/tex][tex]\begin{gathered} A\text{ = 22,217. 4416} \\ A\text{ }\approx\text{ }22,217.44\text{ dollars} \end{gathered}[/tex]

Step 3:

Now, we have that the amount = 22, 217. 44 dollars.

And the Principal = 18,000 dollars

If she makes all the monthly payments,

Then, the total amount of interest she will pay on the loan is:

[tex]22,\text{ 217. 44 - 18,000 = 4,217. 44 dollars}[/tex]

CONCLUSION:

The total amount of interest she will pay on the loan = 4, 217. 44 dollars.



ifvx varies directly as y and x =36 when y=6 find x when y=9​

Answers

Answer:

54

Step-by-step explanation:

Hello!

A direct variation can be expressed as [tex]y = ax[/tex], where a is multiplied.

As you can see, x is 6 times greater than y, proving that when y is 6, x is 36 (6*6 = 36).

Therefore, we can say that if y is 9, we can multiply the value by 6 to find the x-value:

x = 6 * 9x = 54

So the value of x is 54.

Sonia has $725,000 she wants to save. If the FDIC insurance limit per depositor, per bank, is $250,000, which of these ways of distributing her money between three banks will guarantee that all her money is insured?

$220,000 in Bank A, $230,000 in Bank B, $275,000 in Bank C
$220,000 in Bank A, $250,000 in Bank B, $255,000 in Bank C
$240,000 in Bank A, $230,000 in Bank B, $255,000 in Bank C
$240,000 in Bank A,, $245,000 in Bank B 245,000 in Bank c

Answers

As per the dividing method, there are 3 ways of distributing her money between three banks.

Dividing method:

Division is the process of repeated subtraction.

This method, we start from the number called dividend in the number line and keep subtracting the number called divisor till we reach at 0 that is called  remainder, and the number of steps we go on backward counting is the quotient or result of division.

Given,

Sonia has $725,000 she wants to save.

FDIC insurance limit per depositor, per bank, is $250,000

So, here we need to find the ways of distributing her money between three banks will guarantee that all her money is insured.

We know that, he limit is  $250,000.

So, we have to divide the total amount within these limit across three bank.

Therefore, the possible ways of dividing the amount is given below:

Way 1:  

if $250,000 deposited in bank A,

$250,000 deposited in bank B and

remaining money $175,000 will be deposited in bank C.

Way 2:

if $200,000  deposited in bank A,

$250,000 deposited in bank B,

$225,000 deposited in bank C.

Way 3:

If $225,000 deposited in bank A,

$225,000 deposited in bank B,

and $ 225,000 in bank C.

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6. Express the given function h as a composition of two functions f and gsuch that H(x) = (fog)(x).a) H(x) = |3x +2|b) H(x) = 5x +4 if you halved a recipe that calls for 5 c. chicken broth how much broth would you use question In photograph The sharing of physical hardware by many organizations in the cloud, termed pooling, is accomplished with __________. Two methods to solve (X+3)^2=6 A cylinder sits on top of the rectangular prism. What is the combined volume? (use the Pi, round to the nearest tenth of an inch) ______ in3 help meeeeeeeeee pleaseee !!!!! Tyee has $720 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $401.83. He buys 4 bicycle reflectors for $12.85 each and a pair of bike gloves for $23.83. He plans to spend some or all of the money he has left to buy new biking outfits for $40.49 each. Use the drop-down menu below to write an inequality representing oo, the number of outfits he can buy while staying within his budget. There are no solutions to the system of inequalities shown below. y< 4X-6 y > 4x + 2 A.true B. false Match the description to the rules of England in the 17th century Simplify (5x + 7) - (x + 2) The cost of mailing a package is proportional to the weight of the package. The proportional relationship can be represented with the equation c = 0.4w, where c represents the total cost and w represents weight in ounces. A graph for the equation is shown.graph with x axis labeled weight in ounces and y axis labeled cost in dollars, with a line from 0 comma 0 going through 2 comma 0.8Which of the following statements is true about the graph shown? The graph is incorrect and the line should go through the point (0.4, 1). The equation c = 0.4w is correctly represented by the graph. The x-axis and y-axis are labeled incorrectly. The graph does not show a proportional relationship. 10. A city has a population of 125,500 in the year 1989. In the year 2007, its population is 109, 185. A. Find the continuous growth/decay rate for this city. Be sure to show all your work.B. If the growth/decay rate continues, find the population of the city in the year 2021.C. In what year will the population of the city reach 97,890? Be sure to show all your work. a is less than or equal to 10 How did scientific discoveries in the late 1800s impact the way people saw themselves and their world? List all real values of x such that f(x) = 0, if there are no such real x, type DNE in the answer blank. If there is more than one real x, give a comma separated list (i.e: 1, 2) X = Find (3.0x10^15) over (5.0x10^6)(2.4x10^3), expressed in scientific notation. 1. Which of the following best exemplifies how Congress's use of its weights and measures powersplays an important role in business transactions?(1 point)O With uniform and consistent standards, producers are allowed to charge different prices for a pound of flour.O With uniform and consistent standards, consumers can trust that one pound of flour will be the same amount offlour everywhere.4O With uniform and consistent standards, producers must sell flour by the pound.O With uniform and consistent standards, consumers are responsible for checking that one pound of flour trulyweighs one pound. Identify the postulate illustrated by the statement: Line ST connects pointS and point T 4. The relationship between temperature expressed in degrees Fahrenheit(F) and degrees Celsius (C) is given by the formula F= (9/5)C + 32. If the temperature is 5 degrees Fahrenheit, what is it in degrees Celsius ?