What is the image of the point (-7,-3) after a rotation of 90° counterclockwise about the origin?

Answers

Answer 1

The new point after rotation of point (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).

What is meant by coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x, y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

Given: the Point A be (-7, -3)

After rotation, this point moves to a unique coordinate (x, y) which exists as point B

Let's say the origin is O

Slope of line segment AO = (-3-0)/(-7-0) = 3/7

Slope of line segment BO = (y - 0)/(x - 0) = y/x

Since both lines exist perpendicular to each other so

Slope AO × Slope BO = -1

3/7 × y/x = -1

⇒ 3y = -7x

If we observe the result then it will be clear that if we put x = 3 then y = -7 will be the new coordinate.

Therefore, the new point after rotation of point (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).

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Related Questions

Hello, I really need help on this assignment I don't understand what to do.

Answers

Answer:

-2 and -10

Explanation:

There are two numbers at a distance of 4 units from -6, the number that is 4 units to the right and the number that is 4 units to the left.

So, the number that is 4 units to the right is equal to

-6 + 4 = -2

And the number that is 4 units to the left is equal to

-6 - 4 = -10

Therefore, the numbers are -2 and -10 and they are represented as

PLEASE PLEASE HELP

5. Renae Walters is paid a salary of $15,000 per month.



a. How much has she earned for the year after being paid at the end of January? _______________________________


b. How much is deducted in January for Social Security? For Medicare?

Social Security _____________________ Medicare _______________________


c. How much has she earned for the year after being paid at the end of November? ___________________________________

d. How much is deducted in November for Social Security? For Medicare?

Social Security _____________________ Medicare _______________________

e. How much has she earned for the year after being paid at the end of December? ___________________________________

f. How much is deducted in December for Social Security? For Medicare?

Social Security _____________________ Medicare _______________________

Answers

The amount for social security for all 3 months will $930 and the contribution for Medicare will be $217.5.

How to estimate the amount for social security for all 3 month?

Given that the salary exists paid in US dollars, we can consider that Renae Walters falls under the social security and Medicare tax rates for the United States. These rates, as of 2020, fall at 6.2% for social security and 1.45% for Medicare.

Social security contribution = Social security tax rate × Income earned

January for example Social Security = 0.062 × $15,000 = $930    

Medicare contribution = Medicare tax rate × Income earned

January for example Medicare = 0.0145 × $15,000= $217.5

The above method will apply through the months without changes.

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what property is used to solve this?

4x-3

x=2

4(2)-3

Answers

commutative property

Find the missing number so that the equation has no solutions.
5x + 12 =
- 2
Submit

Answers

By solving the equation 5x + 12 = -2, the value of x in is -2.8

Solution

Bring 12 to the other side of the equation. 12 becomes -12

5x = -2-12

Add -2 and -12.

5x = -14

We get -14

Bring 5 to the other side of the equation and divide -14 and 5

x = -14 ÷ 5

Hence the value of  x is -2.8

x = -2.8

Hence, by solving the equation 5x + 12 = -2, the value of x in is -2.8

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Mrs. Maria's Market buys 75% of eggs from farm A and the rest from farm B. Of the eggs from A,8% are green, and of those from B, 3% are green. If an egg is chosen at random and found to begreen, what is the probability that the egg is from farm B? Enter your answer as a decimal numberrounded to TWO digits after the decimal point.

Answers

Answer:

0.12

Explanations:What is probability?

Probability is the likelihood or chance that an event will occur. It ca be expressed as:

[tex]Probability=\frac{n(E)}{n(S)}[/tex]

where:

n(E) is the expected event

n(S) is the total sample space

If Mrs. Maria's Market buys 75% of eggs from farm A and the rest from farm B, the percentage amount of egg bought from B will be 25% (100-75)

n(S) = 25%

If 3% of the eggs from B are green, hence n(E) = 3%

Determine the required probability

Pr(egg is from farm B) = n(E)/n(S)

Pr(egg is from farm B) = 3/25 = 0.12

Hence the probability that the egg is from farm B is 0.12

I need help with this question... it's about special triangles and I need to find y and z.. it should also not be a decimal.

Answers

To find z, consider the right-angled triangle at the botton in the diagram showm

[tex]\begin{gathered} \sin 45\text{ = }\frac{z}{20} \\ z\text{ = 20 }\sin 45 \\ z\text{ = }20\text{ }\times\frac{1}{\sqrt[]{2}} \\ z\text{ = }\frac{20}{\sqrt[]{2}} \\ z\text{ = }\frac{20}{\sqrt[]{2}}\times\frac{\sqrt[]{2}}{\sqrt[]{2}} \\ z\text{ = }\frac{20\sqrt[]{2}}{2} \\ z\text{ = 10}\sqrt[]{2} \end{gathered}[/tex]

Let the common base of both triangles be m

[tex]\begin{gathered} \cos 45\text{ = }\frac{m}{20} \\ m\text{ = 20 }\cos 45 \\ m\text{ = }\frac{20}{\sqrt[]{2}} \\ m\text{ = }\frac{20}{\sqrt[]{2}}\times\frac{\sqrt[]{2}}{\sqrt[]{2}} \\ m\text{ = 10}\sqrt[]{2} \end{gathered}[/tex]

To find y:

[tex]\begin{gathered} \tan 30\text{ = }\frac{y}{m} \\ \tan 30\text{ = }\frac{y}{10\sqrt[]{2}} \\ \frac{1}{\sqrt[]{3}}=\text{ }\frac{y}{10\sqrt[]{2}} \\ y\text{ = }\frac{10\sqrt[]{2}}{\sqrt[]{3}} \\ y\text{ = }\frac{10\sqrt[]{6}}{3} \end{gathered}[/tex]

To find x:

[tex]\begin{gathered} \sin 30=\frac{y}{x} \\ \frac{1}{2}=\frac{10\sqrt[]{6}}{3}\div x \\ \frac{1}{2}=\frac{10\sqrt[]{6}}{3}\times\frac{1}{x} \\ x\text{ = }\frac{20\sqrt[]{6}}{3} \end{gathered}[/tex]

Use the following data set to answer the question below.8 12 15 9 101212 18 14 1510 11 12 9 17What is the range for the data set?

Answers

Given the following set of data:

8 12 15 9 10 12 12 18 14 15 10 11 12 9 17

We will find the range of the data.

We need to find the maximum and the minimum

The maximum = 18

The minimum = 8

So, the range = maximum - minimum = 18 - 8 = 10

So, the answer will be The range = 10

A red maple sapling was 3 feet tall when planted in 2010. Six years later, the tree was 24 feet tall. The growth rate of the tree is constant over time. Find a linear model for the height H (in ft) of the red maple t years after 2010. Let t = 0 represent 2010.H = __________What is the expected height (in ft) of the red maple in 2020?________ ft

Answers

Since the growth rate is linear and constant over time, it means that the sequence formed is an arithmetic sequence. The formula for finding the nth term of an arithmetic sequence is expressed as

an = a1 + d(n - 1)

where

a1 is the first term of the sequence

n = number of terms

d = common difference

In this case, n would be t(number of years

From the information given,

a1 = 3

Since the first term is at t = 0 and it represents 2010, six years letter would be represented by t = 7. Thus, we would took for d given that a7 = 24

We have

24 = 3 + d(7 - 1)

24 = 3 + 6d

6d = 24 - 3 = 21

d = 21/6 = 3.5

The linear model would be

an = 3 + 3.5(t - 1)

Substituting H for an, the linear model is

H = 3 + 3.5(t - 1)

At 2020, t = 11

H = 3 + 3.5(11 - 1) = 3 + 35

H = 38

Fill in the missing statements and reasons in each proof shown below. You must mark the diagram forcredit.15.Given: g | h and 21 22Prove: p | r3рStatementReason2.ghgh21 2 2321 2222 223pllr

Answers

To prove that p || r, we will complete the data in the given table

[tex]\begin{gathered} \text{Statement: g}\mleft\Vert h\mright? \\ R\text{eason : Given} \end{gathered}[/tex]

[tex]\begin{gathered} \text{Statement: <1}\cong<3 \\ \operatorname{Re}\text{ason: Corresponding angles} \end{gathered}[/tex]

[tex]\begin{gathered} \text{Statement: <1}\cong<2 \\ \operatorname{Re}\text{ason:Given} \end{gathered}[/tex]

[tex]\begin{gathered} Statement\colon\text{ <2}\cong<3 \\ Re\text{ason: Alternate exterior angle} \end{gathered}[/tex]

[tex]\begin{gathered} \text{Statement: P}\mleft\Vert r\mright? \\ \operatorname{Re}\text{ason:<2}\cong<3 \end{gathered}[/tex]

Please help! I have 3 questions that I'm not sure what to do about :( if you could answer them that would be great

Answers

The resultant matrix for the given expressions are as follows -

[A]  → 2B - C = [tex]\begin{pmatrix}7.5&2.4\\ -16.4&-8.8\end{pmatrix}[/tex]

[B] → C + 2A = [tex]\begin{pmatrix}18.5&-8.4\\ 16.4&6.8\end{pmatrix}[/tex]

[C] → 2B - 10C + A = [tex]\begin{pmatrix}12&-36\\ -31&25\end{pmatrix}[/tex]

What is a Matrix?

Matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. A matrix has [n] rows and [m] columns. The order of a matrix is given by - [m] x [n].

Given are the three different matrices as -

A = [tex]\left[\begin{array}{ccc}9&-6\\7&5\\\end{array}\right][/tex]

B = [tex]\left[\begin{array}{ccc}4&3\\-7&-6\\\end{array}\right][/tex]

C = [tex]\left[\begin{array}{ccc}0.5&3.6\\2.4&-3.2\\\end{array}\right][/tex]

We can solve the given expressions as follows.

[A]  → 2B - C = [tex]\begin{pmatrix}7.5&2.4\\ -16.4&-8.8\end{pmatrix}[/tex]

[B] → C + 2A = [tex]\begin{pmatrix}18.5&-8.4\\ 16.4&6.8\end{pmatrix}[/tex]

[C] → 2B - 10C + A = [tex]\begin{pmatrix}12&-36\\ -31&25\end{pmatrix}[/tex]

Therefore, the resultant matrix for the given expressions are as follows -

[A]  → 2B - C = [tex]\begin{pmatrix}7.5&2.4\\ -16.4&-8.8\end{pmatrix}[/tex]

[B] → C + 2A = [tex]\begin{pmatrix}18.5&-8.4\\ 16.4&6.8\end{pmatrix}[/tex]

[C] → 2B - 10C + A = [tex]\begin{pmatrix}12&-36\\ -31&25\end{pmatrix}[/tex]

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work out sues total pay

Answers

Sue's total pay for the year given the salary, bonus and share of profit is  £38,110.

What is the total pay?

Sue's total pay for the year is a function of the salary, the share of the profit that she earns and the bonus.

Salary for the year = monthly salary x number of months in a year

£1410 x 12 = £16,920

The next step is to determine the profit last year

Profit = total revenue - total cost

£549,000 - £473,500 = £75,500

Now determine the share of profit that Sue would earn.

Share of profit = 26% x  £75,500

0.26 x  £75,500 = £19,630

Now determine the total bonus she would earn : 4 x £390 = £1560

Total salary = £1560 +  £19,630 +  £16,920 = £38,110

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We have seen the isosceles triangles have two sides of equal length. The angles opposite these sides have the same measure. Use information to the right to help the measure of angles 1, 2, 3, 4, and 5.

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

triangle diagram

Step 02:

angles:

we must analyze the diagram to find the solution

angle 1:

angle 1 = 180° - 155° = 25°

angle 2:

angle 2 = angle 1 = 25°

angle 3:

angle 3 = 180° - 25° - 25° = 130°

angle 4:

angle 4 = 155°

angle 5:

angle 5 = 180° - 25° = 155°

That is the full solution.

the cake is regular price at $9 and is on sale for 25%. how much would you save with the discount

Answers

Let be "x" the amount of money (in dollars) you would save with the discount.

By definition, a percent can be converted to a Decimal number by dividing it by 100. Then, since the cake store is having 25% off sale on all cakes, this can be written as:

[tex]\frac{25}{100}=0.25[/tex]

According to the information given in the exercise, the regular price of the cake you want is $9. Based on this, you can set up the following expression for price of the cake with the discount (in dollars):

[tex]9-(9)(0.25)[/tex]

Evaluating, you get:

[tex]=6.75[/tex]

Knowing this value, you can set up that:

[tex]x=9-6.75[/tex]

Finally, evaluating, you get:

[tex]x=2.25[/tex]

The answer is: You would save $2.25 with the discount.

Find an equation of the line. Write the equation using function notation.Through (4, - 7); perpendicular to 6y=x- 12The equation of the line is f(x)=..

Answers

To determine the equation of the line you need to determine its slope first.

You know that the line 6y=x-12 is perpendicular to the line you have to determine, two lines that are perpendicular, their slopes are opposite reciprocals. For example, let "m" represent the slope of one of the lines and "n" represent the slope of the perpendicular line, you can express their relationship as follows:

[tex]m=-\frac{1}{n}[/tex]

To determine the slope of the given line, you have to write it in slope-intercept form:

[tex]y=mx+b[/tex]

Where

m represents the slope

b represents the y-intercept

Given the line:

[tex]6y=x-12[/tex]

-Divide both sides by 6

[tex]\begin{gathered} \frac{6y}{6}=-\frac{x}{6}=-\frac{12}{6} \\ y=-\frac{1}{6}x-2 \end{gathered}[/tex]

The slope of this line is the coefficient of the x-term, n=-1/6

Its opposite reciprocal is:

[tex]\begin{gathered} m=-\frac{1}{n} \\ m=-(-\frac{1}{\frac{1}{6}}) \\ m=-(-1\cdot6) \\ m=-(-6) \\ m=6 \end{gathered}[/tex]

The slope of the line you have to determine is m=6

Now that you have the slope of the line, using the point-slope form, you can determine the equation of the line:

[tex]y-y_1=m(x-x_1)[/tex]

Where

m represents the slope of the line

(x₁,y₁) represent the coordinates of one point of the line

Replace the formula with m=6 and (x₁,y₁)=(4,-7)

[tex]\begin{gathered} y-(-7)=6(x-4) \\ y+7=6(x-4) \end{gathered}[/tex]

The next step is to write the equation in slope-intercept form:

-Distribute the multiplication on the parentheses term:

[tex]\begin{gathered} y+7=6\cdot x-6\cdot4 \\ y+7=6x-24 \end{gathered}[/tex]

-Pass "+7" to the right side of the equation by applying the opposite operation "-7" to both sides of it:

[tex]\begin{gathered} y+7-7=6x-24-7 \\ y=6x-31 \end{gathered}[/tex]

Finally, write the equation of the line using function notation:

[tex]f(x)=6x-31[/tex]

Write the equation of this line in point-slope form: The line passes through (−2,22) and (4,-8).

Answers

Write the equation of this line in point-slope form: The line passes through (−2,22) and (4,-8).

step 1

Find the slope of the line

m=(-8-22)/(4+2)

m=-30/6

m=-5

step 2

Find the equation in point slope form

y-y1=m(x-x1)

substitute the given values

we have

m=-6

(x1,y1)=(4,-8)

substitute

y+8=-6(x-4)

help meeeeeeeeee pleaseee !!!!!

Answers

The value of the composite function is determined as: (g o f)(5) = 6.

How to Determine the Value of a Composite Function?

To determine the value of a composite function, first evaluate the inner function by plugging in the value of x given, then use the output of the inner function as an input to evaluate the outer function.

Given the following:

f(x) = x² - 6x + 2

g(x) = -2x

Therefore:

(g o f)(5) = g(f(5))

Find f(5):

f(5) = (5)² - 6(5) + 2

f(5) = 25 - 30 + 2

f(5) = -3

Find g(f(5)) by substituting x = -3 into g(x) = -2x:

g(f(5)) = -2(-3)

g(f(5)) = 6

Therefore, (g o f)(5) = 6.

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what would be an equation for a decrease of 75% using the y=kx format?

Answers

Input data

75% = 0.75

format

y = kx

Procedure

The k factor would be equal to 0.25

The answer would be

[tex]y=0.25x[/tex]

A city has a population of 230,000 people. Suppose that each year the population grows by 4.25%. What will the population be after 12 years?

Answers

Answer:

379,001.

Explanation:

The population of the city grows by 4.25%.

This is a constant factor and models an exponential function.

An exponential population function is of the form:

[tex]\begin{gathered} P(n)=P_0(1+r)^t \\ P_o=\text{Initial Population} \\ r\text{ = growth rate} \\ t\text{ =time in years} \end{gathered}[/tex]

From the given problem:

[tex]P_0=230,000,r=4.25\%=0.0425,t=12years[/tex]

This then gives us:

[tex]\begin{gathered} P(12)=230000(1+0.0425)^{12} \\ =230000(1.0425)^{12} \\ =379,001 \end{gathered}[/tex]

The population after 12 years will be approximately 379,001.

compare and contrast the graphs y=2x+1 with the domain {1,2,3,4} and y=2x+1 with the domain of all real numbers

Answers

Comparison of both the graphs y=2x+1 with domain {1,2,3,4} and set of all real numbers is :

Slope =2 , y-intercept =1 and x-intercept = -1/2 is same.

Contrast is range is different:

Range = { 3, 5, 7, 9} for domain {1,2,3,4}

Range = set of all real numbers for domain all real numbers.

As given in the question,

Given function for the graphs are:

y =2x+1

Different domains

Domain ={1,2,3,4}

Domain =All real numbers

Compare with y=mx +c

Slope m =2

For y-intercept put x=0

y=2(0) +1

 =1

For x-intercept put y=0

0 =2x+1

⇒x=-1/2

Contrast:

For domain ={1,2,3,4}

Range is :

y = 2(1)+1

  =3

y=2(2)+1

 =5

y=2(3) +1

 =7

y=2(4)+1

 =9

Range ={ 3, 5, 7,9}

For domain= all real numbers

Range = set of all real numbers

Therefore, comparison of both the graphs y=2x+1 with domain {1,2,3,4} and set of all real numbers is :

Slope =2 , y-intercept =1 and x-intercept = -1/2 is same.

Contrast is range is different:

Range = { 3, 5, 7, 9} for domain {1,2,3,4}

Range = set of all real numbers for domain all real numbers.

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SOMEONE PLEASE HELP ME QUICKLY WITH THIS,ITS AN EMERGENCY!!!!! pls explain how you get the solution as well, sorry!

Thank you <3

Answers

The statement that reflects the running rates is Pepe ran 9/8  mile in 1/2 hour and Paul ran 19/24 mile in 1/3 of an hour.

What is the speed?

Speed is the total distance run per time. It can be determined by dividing the total distance travelled by the total time.

Speed = distance / time

Speed if Paul ran 1/5 mile in 4/15 hour

Speed = 1/5 ÷ 4/15

1/5 x 15/4 = 3/4 miles per hour

Speed if Pepe ran 8/10 mile in 1/4 of an hour

Speed = 8/10 ÷ 1/4

8/10 x 4 = 16/5 = 3 1/5 mile per hour

Difference in speeds =

[tex]3\frac{1}{5}[/tex] - [tex]\frac{3}{4}[/tex]

[tex]3\frac{4 - 15}{20}[/tex] = [tex]2\frac{9}{20}[/tex]

Speed if Paul ran 4/15 mile in 1/5 hour

Speed = 4/15 ÷ 1/5

4/15 x 5 = 4/3 = 1 1/3 miles per hour

Speed if Pepe ran 1/4 mile in of 8/10 an hour

Speed = 1/4 ÷ 8/10

1/4 x 10/8 = 5 / 16

Difference in speeds = [tex]1\frac{1}{3} - \frac{5}{16}[/tex] = [tex]1\frac{1}{48}[/tex]

Speed if Paul ran 1/3 mile in 19/24 hour

Speed = 1/3 ÷ 19 / 24

1/3 x 24/19 = 8/19 miles per hour

Speed if Pepe ran 1/2 mile in of 9/8 an hour

Speed = 1/2  ÷ 9/8

1/2 x 8/9 = 4/9 mile per hour

Difference = 4/9 - 8/19 = 4/171

Speed if Pepe ran 9/8  mile in 1/2 hour

Speed = 9/8 ÷ 1/2

9/8 x 2 = 2 1/4  miles per hour

Speed if Paul ran 19 / 24 mile in of 1/3 an hour

Speed =  19 / 24  ÷ 1/3

19 / 24 x 3 = 2 3/8 miles per hour

Difference =

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

[tex]\frac{3 - 2}{8}[/tex] =  [tex]\frac{1}{8}[/tex] miles per hour

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How do you solve #16?

Answers

∠A + ∠B + ∠C = 180°

reason : Sum of all angle of triangle is 180°

72° + 86° + ∠C = 180°

158° + ∠C = 180°

∠C = 180° - 158°

∠C = 22°

hence the value of ∠3 is 22°

Now ,

∠3 =∠4

reason : Being vertically opposite angle

4 = 22°

hence the value of ∠4 is 22°

Again ,

∠C + ∠D + ∠E = 180°

reason : Sum of all angle of triangle is 180°

22° + ∠D + 70° = 180°

92° + ∠D = 180°

∠D = 180° - 92°

∠D = 88°

hence the value of ∠5 is 88°..

[tex]...[/tex]

hope it helps ....☘✨

There are 360° in a circle graph. If 50° of the graph represents rent and 7" of the graph represents savings, what fractional portion of the whole graph is not represented by rent and savings?​

Answers

The fractional portion of the whole graph is not represented by rent and savings? is 101/120.

How to illustrate the information?

From the information, there are 360° in a circle graph and 50° of the graph represents rent and 7" of the graph represents savings.

The part that isn't savings or rent will be:

= 360° - (7° + 50°)

= 360° - 57°

= 303°

Therefore, the fractional part will be:

= Part that isn't savings or rent / Entire degree

= 303/360

= 101 / 120

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In which quadrant is the terminal side of 115° located?+Y43-2+-XX+3 -111841.2IV3.4

Answers

ANSWER

Quadrant II

EXPLANATION

• All angles between 0° and 90° are in the first quadrant.

,

• All angles between 90° and 180° are in the second quadrant.

,

• All angles between 180° and 270° are in the third quadrant.

,

• All angles between 270° and 360° are in the fourth quadrant.

115° is an angle measure that is between 90° and 180°. Therefore its terminal end is in the second quadrant.

A toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 32 feet
per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function
h(t)=1612 +32t+5. How long will it take the rocket to reach its maximum height? What is the maximum height?

Answers

You have to find the vertex.

Find X of the vertex by using -b/2a

Then take X and plug back into equation for y.

X= time
Y= height

Equation makes a parabola that opens down.

See photo for problem

Answers

The distance, x, from one corner to another corner three corners away is 4. 70cm

The distance, y, from one corner to another corner two corners away is 4. 07cm

How to determine the value

It is important to note that the image shown is a hexagon and each of the interior angles of a hexagon has a value of 120 degrees

Also note that the have the trigonometric identities;

sinecosinetangentcotangentsecantcosecant

Using the cosine identity, we have;

sin θ = adjacent/ hypotenuse

substitute the values

cos 60 = 2.35/x

cross multiply

x = 2. 35/cos 60

x = 2. 35/ 0. 5

x = 4. 7 cm

Then, we have,

sin 60 = y/ 4. 7

y = sin 60 × 4.7

y = 0. 8660 × 4. 7

y = 4. 07cm

Hence, the values are 4. 7cm and 4. 07cm

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Sue wants to plant 545 acres of wheat. She has planted a 128 acre field near the river. Whatpercent of her wheat crop has she planted?

Answers

Percentage of the wheat crop planted = 128/ 545 x 100

= 12800/545

= 23.4 percent

I will show you a pic

Answers

GIven the table above :

We have that

x y

2 8

4 4

6 0

8 4

The table represents a Non - Linear Function

Reason: It is because there is no constant ratio or proportion between x and y.

I am struggling with this question. could you help me please??

Answers

Problem

Solution

Let x = age, W= weight the two variables of interest

We have the following probabilities given:

P(x<37) =0.142

P(W< 2500) = 0.051

P(x <37 AND W<2500)= 0.031

And we want the following probability and we can use the total probability rule:

P(x < 37 OR W< 2500) = P(x<37) +P(W< 2500) -P(x<37 AND W<2500)

If we replace we got:

P(x < 37 OR W< 2500)= 0.142+ 0.051- 0.031= 0.162

8y = 0.2(3x - 5) answer in slope intercept and y-intercept

Answers

The slope of the given equation is 0.075 and  y-intercept is 0.125

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

The point with coordinate having same slope as with given coordinates can be plotted on the same line.

First writing the given equation in standard slope intercept form :

y = mx + c.........(1)

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• c is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function

8y = 0.2(3x - 5)

8y = 0.6x - 1

y = 0.6/8x - 1/8

y = 0.075x - 0.125

Now, comparing it with equation (1) we get :

m = 0.075 and c = - 0.125

hence the slope of the given equation is 0.075 and  y-intercept is 0.125

check and know more about slope of line here :

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(a) Teresa owns 9 shares of a certain stock. Yesterday the total value of her shares went down by90 dollars. What was the change in value for each share?dollarsHelp ASAP PLEASE

Answers

we have that

Divide $90 by the number of shares

so

90/9=$10

the answer is $10

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