Please help me on the question I don’t get it c) For architects, by what percent did the median earnings increase for those who held a graduate degree compared to those who were recent college graduates? (round to the nearest integer)d) For nurses, by what percent did the median earnings increase for those who held a graduate degree compared to those who were recent college graduates? (round to the nearest integer)

Please Help Me On The Question I Dont Get It C) For Architects, By What Percent Did The Median Earnings
Please Help Me On The Question I Dont Get It C) For Architects, By What Percent Did The Median Earnings
Please Help Me On The Question I Dont Get It C) For Architects, By What Percent Did The Median Earnings

Answers

Answer 1

(a) From the graph, the average recent college graduate engineer makes $65000, and the average recent college graduate accountant makes $40000. Therefore, an engineer makes $65000 - $40000 = $25000 more than the accountant.

(b) In marketing, the average graduate degree holder makes approximately $80000 (rounded down to the nearest thousand), and the average recent college graduate makes approximately $35000 (rounded down to the nearest thousand). Therefore, the average graduate degree holder makes $80000 - $35000 = $45000 more than the average recent college graduate

(c) graduate degree holder architect average earning: $75000 (rounded down to the nearest thousand)

average recent college graduate architect average earning: $35000 (rounded down to the nearest thousand)

The percent increase is computed as follows:

[tex]\begin{gathered} \text{percent increase = }\frac{\text{ degr}ee\text{ holder - college graduate}}{\text{college graduate}}\cdot100 \\ \text{percent increase = }\frac{75000-35000}{35000}\cdot100 \\ \text{percent increase }\approx114\text{ \%} \end{gathered}[/tex]

(d) graduate degree holder nurse average earning: $ 80000 (rounded down to the nearest thousand)

average recent college graduate nurse average earning: $45000 (rounded down to the nearest thousand)

The percent increase is computed as follows:

[tex]\begin{gathered} \text{percent increase = }\frac{\text{ degr}ee\text{ holder - college graduate}}{\text{college graduate}}\cdot100 \\ \text{percent increase = }\frac{80000-45000}{45000}\cdot100 \\ \text{percent increase = 78 \%} \end{gathered}[/tex]

(e) Comparison between average earning of a degree holder and of a college graduate for each area:

Engineers

Increase = degree holders - college graduate

Increase = 110000 - 65000

Increase = 45000

Nurses

Increase = degree holders - college graduate

Increase = 80000- 45000

Increase = 35000

Finance

Increase = degree holders - college graduate

Increase = 100000 - 45000

Increase = 55000

Accountant

Increase = degree holders - college graduate

Increase = 85000 - 40000

Increase = 45000

Architects

Increase = degree holders - college graduate

Increase = 75000 - 35000

Increase = 40000

Marketing

Increase = degree holders - college graduate

Increase = 80000 - 35000

Increase = 45000

The greatest increase from college graduates to degree holders is in Finance


Related Questions

Recall: Averaging Two NumbersMaddie earned an 88% on her first test and an 80% onyour second test. What is her average test score? (Note:Click on the little calculator icon above to pull up acalculator.)

Answers

We know that

• She earned an 88% on her first test.

,

• She earned an 80% on her second test.

To know her average score, we just have to sum these percentages and divide them by 2, since they are just 2.

[tex]\bar{x}=\frac{88+80}{2}=\frac{168}{2}=84[/tex]Therefore, the average test score is 84%.

A survey was given to a random sample of 1750 voters in the United States to askabout their preference for a presidential candidate. Of those surveyed, 28% of thepeople said they preferred Candidate A. Determine a 95% confidence interval for thepercentage of people who prefer Candidate A, rounding values to the nearest tenth.

Answers

A 95% confidence interval for the percentage of voters who choose Candidate A is (0.3,0.3).

Given that,

1750 American voters were chosen at random to participate in a poll on their presidential candidate preferences. 28% of those polled indicated they favored Candidate A.

We have to find determine a 95% confidence interval for the percentage of voters who choose Candidate A.

We have a sample size=1750

28% preferred candidate A.

Margin of error = Z[tex]\sqrt{P(1-P)/n}[/tex]

Where, z=1.96 at 95%

P=0.28

n=1750

ME = 1.96[tex]\sqrt{0.28(1-0.28)/1750}[/tex]

ME = 1.96[tex]\sqrt{0.28(0.72)/1750}[/tex]

ME = 1.96[tex]\sqrt{0.2016/1750}[/tex]

ME = 1.96[tex]\sqrt{0.000152}[/tex]

ME = 0.021

For confidence interval is

CI= 0.28±0.021

CI= (0.28+0.021,0.28-0.021)

CI = (0.301, 0.259)

For the nearest tenth,

CI = (0.3,0.3)

Therefore, A 95% confidence interval for the percentage of voters who choose Candidate A is (0.3,0.3).

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how many 3/8 are in 3

Answers

We can see that there are 24/8 in 3 units, so we have then that there are 8 times 3/8 in 3 units.

So, the answer is there are 8 times.

Bobs car rental is offering a special of 40$ a day for a seden as long as you purchase the car damage protection insurance for 20$

Answers

In this case, we have a proportional relationship, since the cost varies directly with the days, this means that as x increases, y increases, and as x decreases, y decreases. A proportional relationship has the form:

y=kx

Where k is the constant of proportionality.

The ratio between them (x and y) is always the same, in this case, the ratio or constant of proportionality is 40, since each day the rent cost increases $40, then:

Constant of proportionality = 40 , replacing 40 for k into the above equation, we get:

equation: y = 40x

We can use this equation to find some pair of values (x,y) to fill the table, like this:

For x equals 2:

y= 40*2 = 80

For x equals 3:

y= 40*3 = 120

For x equals 4:

y=40*4 = 160

For x equals 5:

y=40*5=200

Then, we can fill the table as follows:

We can also use these data to graph the relationship, by taking the point (5,200) and joining it to the origin, we get:

The figure below is an isosceles trapezoid:KLIK = 12x - 34IL = 4x - 10X =Blank 1:

Answers

From the definition, it must have symmetry in the present figure. It seems to be a vertical line going through the middle of the drawing. From this, we can say that:

[tex]\begin{gathered} IK=JL \\ 12x-34=4x-10 \end{gathered}[/tex]

Now, we can solve it.

[tex]\begin{gathered} 12x-34=4x-10 \\ 12x-4x=34-10 \\ 8x=24 \\ x=\frac{24}{8} \\ x=3 \end{gathered}[/tex]

volume= {1}{3} * \pi * r ^{2}* hHELPsolve for H

Answers

[tex]h=\frac{3V}{\pi r^2}[/tex]

Explanation

[tex]Volume=\frac{1}{3}\pi r^2h[/tex]

Step 1

multiply each side by 3

[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V\cdot3=\frac{1}{3}\pi r^2h\cdot3 \\ 3V=\pi r^2h \end{gathered}[/tex]

Step 2

divide both sides by

[tex]\pi r^2[/tex][tex]\begin{gathered} 3V=\pi r^2h \\ \frac{3V}{\pi r^2}=\frac{\pi r^2\text{ h}}{\pi r^2} \\ h=\frac{3V}{\pi r^2} \end{gathered}[/tex]

A bank features a savings account that has an annual percentage rate of 4.1 % with interestcompounded monthly. Zach deposits $3,000 into the account.How much money will Zach have in the account in 1 year?Answer = $Round answer to the nearest penny.What is the annual percentage yield (APY) for the savings account?%. Round to the nearest hundredth of a percent.APY=

Answers

It is given that the amount invested is $3000 with an interest rate of 4.1% compounded monthly.

It is required to find the amount in 1 year and the annual percentage yield.

The formula for Compound Interest is:

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

Where:

• A= final amount

,

• P= amount invested initially

,

• r= interest rate

,

• n= number of times interest is compounded in a year

,

• t= number of years

Substitute P=3000, r=4.1%=0.041, n=12 (compounded monthly), and t=1 into the formula:

[tex]A=3000(1+\frac{0.041}{12})^{12(1)}\approx\$3125.34[/tex]

The formula for the Annual Percentage Yield is given as:

[tex]APY=(1+\frac{r}{n})^n-1[/tex]

Substitute r=0.041, n=12 into the formula:

[tex]APY=(1+\frac{0.041}{12})^{12}-1\approx0.0418=4.18\%[/tex]

Answers:

Amount = $3125.34

APY = 4.18%

Myra has a remote control toy boat.she runs the toy boat on a lake at a constant speed. The graph of a function representing the toy boats distance, y , in feet , from the shore of the lake after X seconds includes the points (1,8) and (1.5, 10.1)

Answers

Given

the constant speed.

the points 1 (1,8)

Point 2 (1.5, 10.1) ​

Procedure

y=mx+b

[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{8-10.1}{1-1.5} \\ m=\frac{-2.1}{-0.5}=4.2 \end{gathered}[/tex][tex]\begin{gathered} y=mx+b \\ 8=4.2(1)+b \\ 8-4.2=b \\ 3.8=b \end{gathered}[/tex]

the equation is: y=4.2x+3.8

The statements that are true are:

B. The rate of the change of the function is 4.2

D. The toy boat's speed on the lake is 4.2 feet per second

E. the toy boat is originally 3.8 feet from the shore of the lake

Henry started the school year with 3 packages of pencils. He used 4 pencils each week. If a school year is 36 weeks, during which week will he run out of pencils?

Answers

We know that

• Henry started with 3 packages of pencils.

,

• He used 4 pencils each week.

,

• The school year is 36 weeks.

Assuming that each package of pencils has 8, he would have

[tex]3\cdot8=24[/tex]

Henry has 24 pencils in total. But he uses 4 pencils each week, so let's divide

[tex]\frac{24}{4}=6[/tex]Therefore, Henry will run out of pencils in week 6.

The coordinates below represents points that were translated.Match the coordinates with the correct algebraic representations

Answers

Answer:

R(1, 8) >> R'(10, -10) ........(x+9, y-18)

V(-2, -10) >> V'(5, -3).......(x+7, x+7)

U(3, -9) >> U'(10, -16).......(x+7, y-7)

T(-4, 7) >> T'(-11, 14)..........(x -7, y+7)

Explanations:

When a pont A(x, y) is translated by a in the x-axis, and b in the y-axis, the new point becomes A'(x+a, y+b)

For the expression R(1, 8) >> R'(10, -10)

The coordinates of R' ae formed using the expression (x+9, y-18)

For the expression V(-2, -10) >> V'(5, -3)

The coordinates of V' are formed by using the expression (x+7, x+7)

For the expression U(3, -9) >> U'(10, -16)

The coordinates U' are formed by using the expression (x+7, y-7)

For the expression T(-4, 7) >> T'(-11, 14)

The coordinates T' are formed by using the expression (x -7, y+7)

A company is making building blocks. What is the length of each side of the block? V=1 ft3 The length of each side is

Answers

The length of the block = 1ft.

The volume of the length of the side of blocks = 1ft^3

The 3 on the one feet means raised to power 3.

So, 1ft raised to power 3:

[tex]1ft^3\text{ = 1ft }\times\text{ 1ft }\times\text{ 1ft}[/tex]

To get the length, we would assume the block is a cube

The volume of a cube = length^3

1 ft^3 = length^3

[tex]\begin{gathered} \text{cube root both sides:} \\ \sqrt[3]{1ft^3}\text{ = }\sqrt[3]{length^3} \\ \text{length = }\sqrt[3]{(1\text{ft}}\times1ft\times1ft) \\ \text{length = 1ft} \end{gathered}[/tex]

Hence, the length of the block = 1ft.

de a and perform the symmetry lest on each of the following is. eld plerd Find the in 16 r2 + 25y2 = 400 A00 (c) r2 + 4y2 = 4 (e) 4x2 + y2 = 64 (B) 9x² + 4y2 = 36 (b) 25x+6y (d) 4x + y = A () Ay? (h) 7x + y - 112 Graph the vertices, foci, endpoints of the minor axis, and endpoints of the latera recta, then draw AB is a chord of the partial ellipse with equation f(x) = ba? - x'. (a) 576x2 + 625y2 = 360,000, A (15,f(15)), B(20, f(20)) (b) 49x 2 + 625y2 = 30,625, A (15, f(15)), B(20,f(20)) – x. Find the length of AB using

Answers

The given ellipse is

[tex]576x^2+625y^2=360,000[/tex]

Where A(15, f(15)), B(20, f(20)).

First, we find f(15) and f(20) by evaluating the given expression

[tex]\begin{gathered} f(15)=576(15)^2+625y^2=360,000 \\ 576\cdot225+625y^2=360,000 \\ 129,600+625y^2=360,000 \\ 625y^2=360,000-129,600 \\ 625y^2=230,400 \\ y^2=\frac{230,400}{625} \\ y^2=368.64 \\ y=\sqrt[]{368.64} \\ y=19.2 \end{gathered}[/tex]

We use the same process to find f(20).

[tex]\begin{gathered} f(20)=576(20)^2+625y^2=360,000 \\ 576\cdot400+625y^2=360,000 \\ 625y^2=360,000-230,400 \\ x^2=\frac{129,600}{576} \\ x=\sqrt[]{225}=15 \\ \end{gathered}[/tex]

So, the points are A(15, 19.2) and B(20, 15). To find the distance between these points, we have to use the distance formula

[tex]\begin{gathered} d_{AB}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d_{AB}=\sqrt[]{(20-15)^2+(15-19.2)^2} \\ d_{AB}=\sqrt[]{5^2+(-4.2)^2}=\sqrt[]{25+17.64}=\sqrt[]{42.64} \\ d_{AB}\approx6.5 \end{gathered}[/tex]Hence, the length of AB is around 6.5 units.

Convert the following unit areas as indicated. Choose the right answe Area Conversion Number Table English Area Conversion Number Metric Area Square Miles Square Miles Acres Acres Square Yards Square Feet Square Inches 2.59 259 4.05 x 10-3 4.05 x 10-1 8.36 x 10-1 9.29 x 10-2 6.45 Square Kilometers Hectares Square Kilometers Hectares Square Meters Square Meters Square Centimeters 50 in.2 to cm2

Answers

Answer:

322.5 square centimeters

Explanation:

To convert from square inches to square centimeters, we need to multiply the number by the conversion factor 6.45, so 50 in² are equivalent to:

50 in² x 6.45 = 322.5 cm²

Therefore, the answer is 322.5 square centimeters.

A jewelry salesperson earns 5 1/5 % commission on all sales. Today he sold $7,310 in jewelry. What is his total commission earned?
The total commission the salesperson earned is

Answers

The total commission salesperson earned is $394.5.

What is commission?

Commissions are a type of variable-pay compensation for provided services or sold goods. Commissions are a typical method of encouraging and rewarding salespeople. It is also possible to create commissions to promote particular sales behaviours. For instance, while offering significant reductions, commissions might be decreased.

Given:  A jewelry salesperson earns 5 1/5 % commission on all sales. Today he sold $7,310 in jewelry.

We have to find the commission earned on $7310.

Here, [tex]5\frac{1}{5} = \frac{(5)(5)+2}{5} =\frac{27}{5}[/tex]

5 1/5% = 27/5%

Today he sold $7310 in Jwellary.

So, the commission is,

[tex]\frac{(7310)(27)}{(5)(100)} = 394.5[/tex]

Hence, the total commission of $7310 is $394.5.

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I NEED HELP WITH THIS TWO7) the shirt costs $25. the discount is 18% how many dollars is the discount? 8) 40% of 120 students passed the test. How many students passed?

Answers

If the shirt costs 25 and the discount is 18%, then the amount discounted is shown as follows;

[tex]\begin{gathered} \text{Cost}=25 \\ \text{Discount}=0.18 \\ \text{Discounted amount=25}\times0.18 \\ \text{Discounted amount=4.5} \end{gathered}[/tex]

The discount is $4.5.

If 40% of students passed out of 120, then the number that passed is shown below;

[tex]\begin{gathered} Total\text{ number=120} \\ \text{Percentage that passed=0.40} \\ \text{Number that passed=120}\times0.40 \\ \text{Number that passed=48} \end{gathered}[/tex]

The number of students that passed is 48

Answer: 7. $20.50 & 8. 48 students

Step-by-step explanation:

The organizer of a conference is selecting workshops to include. She will select from 3 workshops about anthropology and 10 workshops about psychology. In how many ways can she select 7 workshops if 2 or fewer must be about anthropology?

Answers

give the following from the question:

the organizer will select from 3 workshop about anthropology and 10 workshops about psychology.

we were asked in how many ways she can select 7 workshops if 2 or fewer must be anthropology

so,

If 2 or fewer must be anthropology,

Then tha means it is either she selects 2 from anthropology and 5 from psychology or 1 from anthropology and 6 from psycology.

that is:

= 3C2 x 10C5 or 3C1 x 10C6

= 3!/(3-2)!2! x 10!/(10-5)!5! + 3!/(3-1)!1! x 10!/(10-6)!6!

= 3x2!/2! x 10x9x8x7x6x5!/5!5! + 3x2!/2! x 10x9x8x7x6!/4!6!

= 3 x 252 + 3 x 210

= 756 + 630

= 1,386 ways

The ways she can select 7 workshops if 2 or fewer must be about anthroplogy is 1,386 ways

Write an nth term of arithmetic sequence -5,-2,1,4

Answers

[tex]\begin{gathered} \text{the series is}\Rightarrow-5,-2,1,4 \\ d=-2-(-5)=3 \\ a_n=a+(n-1)d \\ a_n=-5+(n-1)\times3 \\ a_n=-5+3n-3 \\ a_n=3n-8 \end{gathered}[/tex]

[tex]7x(x + 4) = [/tex]simplify

Answers

Given expression:

[tex]=\text{ 7x(x + 4)}[/tex]

Expanding:

[tex]\begin{gathered} =\text{ 7x }\times\text{ x + 7x }\times\text{ 4} \\ =\text{ 7 }\times\text{ x }\times\text{ x + 7 }\times\text{ x }\times\text{ 4} \\ =\text{ 7 }\times x^2\text{ + 7 }\times\text{ 4 }\times\text{ x} \end{gathered}[/tex]

Simplifying the expression:

[tex]\begin{gathered} =7\times x^2\text{ + }28\times x \\ =7x^2\text{ + 28x} \end{gathered}[/tex]

Answer:

[tex]7x^2\text{ + 28x}[/tex]

6. A basketball coach purchases bananas for the players on his team. Thetable shows total price in dollars. P. of n bananas. Which equation couldrepresent the total price in dollars for n bananas?number of bananastotal price in dollars74.13B47295.31105.90O P = 0.596O P = 5.90-0.59O P = 590//O Pan0.59

Answers

,Given the table of values we can find the equation that will represent the total price in dollars for the bannana by using the equation of a line.

Explanation

The equation of a line is given as

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y-y_1}{x-x_1}[/tex]

We can then remodel the equation above to fit the given table of values. This would give;

[tex]\frac{p_2-p_1}{n_2-n_1}=\frac{p-p_1}{n-n_1}[/tex]

Next, we will pick some random points to represent the variables in the equation

[tex]\begin{gathered} p_1=4.13;p_2=4.72 \\ n_1=7;n_2=8 \end{gathered}[/tex]

Then we insert the variables into the formula.

[tex]\begin{gathered} \frac{4.72-4.13}{8-7}=\frac{p-4.13}{n-7} \\ \frac{0.59}{1}=\frac{p-4.13}{n-7} \\ p-4.13=0.59(n-7) \\ p-4.13=0.59n-4.13 \\ p=0.59n+4.13-4.13 \\ p=0.59n \end{gathered}[/tex]

Answer: The equation is given as p = 0.59n

Points A(-2,-3),B(-2,4),and C(3,6) are three vertices of parallelogram ABCD. Opposite sides of a parallelogram have the same length. Draw the parallelogram in the coordinate plane and label the coordinates of the fourth point.

Answers

Given:

Points A(-2,-3),B(-2,4),and C(3,6) are three vertices of parallelogram ABCD.

As we know, the opposite sides of the parallelogram are parallel and congruent

To draw the parallelogram, we will draw the points and connect the sides

AB, AC, and BC

then, draw two lines parallel to AB from C and BC from A, the intersection will give the point D

The graph of the parallelogram will be as shown in the following picture

As shown the coordinates of the fourth point D = (3, -1)

The line that passes through the points (3,0) and (-5,8) isA.)DecreasingB.)IncreasingC.)HorizontalD.)Vertical

Answers

The slope of a line

It is a parameter that can help us to know the behavior of a line, specifically if it's increasing, decreasing

Using the data above, how many people would be expected to live in Japan if the proportion of people to square miles were the same in Japan as in the United States?

Answers

[tex]\begin{gathered} For\text{ United States} \\ d=\frac{309,000,000}{3,717,811}=83.11 \\ For\text{ Japan} \\ d=83.11 \\ 83.11=\frac{People}{145,883} \\ Solving\text{ People} \\ People=(83.11)(145,883) \\ People=12,124,336 \\ The\text{ number of people in Japan is 12,124,336} \end{gathered}[/tex]

Donna earns a commission. She makes 3.5% of the amount she sells. Yesterday she sold a $800 recliner. How much was her commission.

Answers

Amount sold = $800

Commission = 3.5%

To calculate the commission amount, multiply $800 by the commission percentage in decimal form (divided by 100)

800 x (3.5/100)= 800 x 0.035 = $28

Alfred needs to buy small pumpkins that cost $2.75 each. The function he uses is ()=2.75. Use the function to determine the cost of 25 pumpkins.

Answers

From the question, we have a linear function for the cost of each pumpkin, and this function is:

[tex]f(x)=2.75x[/tex]

As we can see, the cost for one pumpkin is:

[tex]f(1)=2.75(1)=\text{ \$2.75}[/tex]

Now, to find the cost for 25 pumpkins, we need to substitute the value of x = 25 into the function, since this is a function that gives us the cost as a function of the number of pumpkins:

[tex]\begin{gathered} f(x)=2.75x \\ \\ f(25)=2.75(25)=68.75 \\ \\ f(25)=68.75 \\ \\ \end{gathered}[/tex]

As we can see, we multiply 2.75 times 25, and we got 68.75.

Therefore, in summary, it will cost $68.75 for 25 pumpkins.

I can send photo, which expressions are equivalent to 18x - 6? select all that apply

Answers

ANSWER:

The equivalent expressions are

[tex]\begin{gathered} 6\cdot(3x-1) \\ 2\cdot(9x-3) \\ 16.4x-6+1.6x \end{gathered}[/tex]

STEP-BY-STEP EXPLANATION:

We have the following expression:

[tex]18x-6[/tex]

If we factor we have:

[tex]\begin{gathered} 6\cdot(3x-1) \\ 2\cdot(9x-3) \end{gathered}[/tex]

if we separate the value we have

[tex]16.4x-6+1.6x=18x-6[/tex]

Which of the following choices best describes the expression 2/3 (3/4x - 3/2)A: equivalent to 1/2x - 1B: equivalent to x - 1/2C: not equivalent to 1/2x - 1 or x - 1/2

Answers

[tex]\frac{2}{3}(\frac{3}{4}x-\frac{3}{2})[/tex]

distributing:

[tex]\begin{gathered} \frac{2}{3}\cdot\frac{3}{4}x-\frac{2}{3}\cdot\frac{3}{2}= \\ =\frac{1}{2}x-1 \end{gathered}[/tex]

the expression is equivalent to 1/2x - 1

from the base of the tower, you meassure its shadow to be 17.25m.at same the time your shadoe is 0.21m.you are 1.68 tall.how tall ia the tower?(round to two decimal plaves if necessary)

Answers

The Solution:

Representing the given in a diagram, we have

By similarity theorem, we have that:

[tex]\frac{BA}{BT}=\frac{BC}{BD}[/tex]

So,

[tex]\begin{gathered} BA=1.68m \\ BT=h=(1.68+x)m \\ BC=0.21m \\ BD=17.25m \end{gathered}[/tex]

Substituting these values in the formula above, we get

[tex]\frac{1.68}{1.68+x}=\frac{0.21}{17.25}[/tex]

Solving for x:

We shall cross multiply,

[tex]0.21(1.68+x)=1.68\times17.25[/tex][tex]0.3528+0.21x=28.98[/tex][tex]0.21x=28.98-0.3528=28.6272[/tex]

Dividing both sides by o.21, we get

[tex]x=\frac{28.6272}{0.21}=136.32\text{ m}[/tex]

The height of the tower is

[tex]h=1.68+x=1.68+136.32=138m[/tex]

Therefore, the correct answer is 138 meters.

A rectangle or televisions length is 3 inches more than twice its width the perimeter of the television is 144 inches what is the width of the television

Answers

The width of the television is 23 in.

What is rectangle?

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles. The opposite sides of a rectangle are equal and parallel.

Given that, A television's length is 3 inches more than twice its width the perimeter of the television is 144 inches

Perimeter of a rectangle = 2(length+width)

According to question,

l = 3+2w

Therefore,

Perimeter = 2(w + 3+2w) = 144

3w + 3 = 72

3w = 69

w = 23

Hence, The width of the television is 23 in.

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Find an equation of an ellipse satisfying the given conditions Vertices: (0 - 6) and (0.6) Length of minor axis: 8

Answers

As the given vertices are at a distance of 12 units:

As the major axis is vertical you have the next generall equation:

[tex]\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1[/tex]

To find the center (h,k) of the ellipse use the coordinates of that vertices as follow:

[tex](\frac{0+0}{2},\frac{6-6}{2})=(0,0)[/tex]

Now use the distance between those vertices to find a:

[tex]a=\frac{12}{2}=6[/tex]

b is the distance of minor axis divided into 2:

[tex]b=\frac{4}{2}=2[/tex]

Then, you get the next equation for the given ellipse:

[tex]\begin{gathered} \frac{(x-0)^2}{2^2}+\frac{(y-0)^2}{6^2}=1 \\ \\ \frac{x^2}{4}+\frac{y^2}{36}=1 \end{gathered}[/tex]

1. An equation is shown below. 60 10 100 = Determine the value of the missing numerator. Your answer

Answers

Answer:

m = 6

Explanations:

The given equation is:

[tex]\frac{m}{10}=\text{ }\frac{60}{100}[/tex]

Cross multiply:

100m = 60 x 10

100m = 600

Divide both sides by 100

[tex]\begin{gathered} \frac{100m}{100}=\text{ }\frac{600}{100} \\ m\text{ = 6} \end{gathered}[/tex]

The missing numerator is 6

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