4. A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?

O4x^2 + 367 = 20
O4x^2 + 72x = 20
O2x^2 + 72 = 20
O2x^2 + 36x = 20

Answers

Answer 1

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

What is Area ?

Area is the space occupied by any surface ,It is measure in square units of length.

It is given that

A photographer needs a frame for a 16 x 20 inch picture

total area is 340 sq. in

width of the frame =?

Let width of the frame be x

The frame is in the shape of a Rectangle

Side of the frame =  ( 16+2x) and (20 +2x)

Area of a frame = Total Area -  Area of the picture

Total Area =  ( 16+2x) (20 +2x)

( 16+2x) (20 +2x) = 340

320 + 72x +4x² = 340

72x +4x²= 20

4x² + 72x = 20

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

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Step-by-step explanation:

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A researcher is investigating the relationship between the length, in centimeters, and weight, in grams, of pineapples. The researcher will select a random sample of 15 pineapples from grocery stores in a region and construct a 95% confidence interval for the slope of the population regression line, where length is the explanatory variable and weight is the response variable. When computing a confidence interval for the slope of the population regression line, which of the following is not a condition that must be checked?
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Answer:

D. The sum of the residuals is zero.

Step-by-step explanation:

The relation between length and weight of pineapples is observed. The observation should be independent and the values must be normally distributed in order to find the confidence interval for slope of population regression line.

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Answer:

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m
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2
2x
OB.
V2
Oc.
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OD.
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1233444567801082737373727272

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Ο ΑΜΣ
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Answer:

To find the area of the rectangle, just multiply the two edges together. Area (bottom edge) = length times width = lw.

Step-by-step explanation:

l=12in

w=5in

h=3in

Area(all)=lw+lw+wh+wh+lh+lh

Area(all)=12×5+12×5+5×3+5×3+12×3+12×3

Area(all)=222 square inches

A bag of 33 tulip bulbs contains 11 red tulips, 12 yellow tulips, and 10 purple tulips. Suppose two tulip bulbs are randomly selected without replacement from the bag. What is the probability that two randomly selected tulip bulbs are both red

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the answer will be 35/132

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Answer:

Step-by-step explanation:

there is a 4 to 7 ratio in the first situation.

so if there is (4*3) the it would be (7*3) so it would be 21 carnations

this gives 12+21 for a total of 33 flowers.

the ratio is 4/7 so you could also go (4/7)(12) and then add that to the original 12 in the boqouet in order to get the same answer. Hope this helps!

The Graph of a function g is shown below. Find the following: g(10)

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Answer: the graph is not shown, but I'll try to explain how hypothetically, you would be able to graph g(10). If you are given something like an image of the graph, find slope and y-intercept first. The y-intercept is the point (0, #), and is on the y-axis. After finding what g(x) = mx + b <- slope intercept form is, substitute 10 for x, then solve.

Step-by-step explanation:

Find the surface of the triangular prism
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Please dont press that file.

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9514 1404 393

Answer:

  D  9/DF = 18/16

Step-by-step explanation:

Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.

For these isosceles triangles, the similarity statement could be written either of two ways:

  ΔDEF ~ ΔABC  or  ΔDEF ~ ΔCBA

Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...

  DF and AC (short sides)

  DE and AB (long sides)

  EF and BC (long sides)

For each (short side, long side) pair, we can write the proportion 4 ways:

DF/DE = AC/AB  ⇒  DF/9 = 16/18DF/AC = DE/AB  ⇒  DF/16 = 9/18DE/DF = AB/AC  ⇒  9/DF = 18/16 . . . . . matches choice DAC/DF = AB/DE  ⇒  16/DF = 18/9

Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.

1. Suppose the positive numbers a և b are such that a + b = 7.
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Answer:

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Step-by-step explanation:

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Please help

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A.
134°
B.
44°
C.
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D.
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Answers

Answer:

B. 44°

Step-by-step explanation:

That's it.

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Answer:

m2 = 44°.

Step-by-step explanation:

The sum of the measures of the angles of a triangle always equals 180°.

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Answer:

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Step-by-step explanation:

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Answer:

first three terms are -5 , 2, and 9

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

36 units

Step-by-step explanation:

Top base:

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9514 1404 393

Answer:

  49 cm^2

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

[tex]A=72\pi\ units^2[/tex]

Step-by-step explanation:

Given that,

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DetermIne the inverse function of f(x) = 1/3 + 6
Please show work

Answers

Answer:

f(x)⁻¹ = 3x - 18

Step-by-step explanation:

I'm going to assume that 1/3 is the coefficient of the x.

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6 1/8 liters of Lemonade and I use 1/4 for each cup how many cups can I fill?

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Answer:

4

Step-by-step explanation:

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Answer:

8 boxes

Step-by-step explanation:

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The 166 represents the square ft of one box.

Take the total number of wallpaper she has, 1328 ft^2, and divide by 166 to find the number of boxes that she can cover.

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Hope that helps!

Answer:

Step-by-step explanation:

Firstly lets calculate the total surface area of the cuboid

Total surface area of cuboid (A1)

= 2( l*b+ b*h +l*h)

= 2( 7 * 5+ 5 * 4 + 7 * 4)

= 166 ft²

also given that

Total area of the wallpaper ( A2)= 1328 ft²

Now

Number of boxes that she can cover is

= A2 / A1

= 1328 / 166

= 8 BOXES.

hope it will help :)

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