Pls, Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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Answer 1

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A rectangle has a length of 32 yards less than 10 times its width. If the area of the rectangle is 384 square yards, find the length of the rectangle.

Answers

Length = 34
Explanation:

The length of the rectangle is 48 yards.

Let's denote the width of the rectangle as "w" yards.

According to the information given, the length of the rectangle is 32 yards less than 10 times its width. So, the length can be represented as: 10w - 32 yards.

The formula for the area of a rectangle is length times width: Area = length × width.

Given that the area of the rectangle is 384 square yards, we can set up an equation:

Area = length × width

384 = (10w - 32) × w

Now, let's solve for the width (w):

384 = 10w² - 32w

0 = 10w² - 32w - 384

Dividing the equation by 2 to simplify:

0 = 5w² - 16w - 192

Now we have a quadratic equation. We can either factor it or use the quadratic formula to solve for "w." Let's use the quadratic formula:

w = (-b ± √(b² - 4ac)) / 2a

For our equation, a = 5, b = -16, and c = -192. Plugging these values into the formula:

w = (16 ± √((-16)² - 4 × 5 × (-192))) / (2 × 5)

w = (16 ± √(256 + 3840)) / 10

w = (16 ± √4096) / 10

w = (16 ± 64) / 10

This gives us two possible solutions for the width:

w = (16 + 64) / 10 = 8 yards

w = (16 - 64) / 10 = -4.8 yards

Since width can't be negative, we'll ignore the second solution.

So, the width of the rectangle is 8 yards. Now, let's find the length using the earlier expression:

Length = 10w - 32

Length = 10 × 8 - 32

Length = 80 - 32

Length = 48 yards

Therefore, the length of the rectangle is 48 yards.

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A manufacturer created the table below as part of a program aimed to reduce manufacturing costs. The table compares the cost y to the number of hats sold, x. which of the following statements below are supported by the data? select all that apply.

1. The slope is positive.

2. the slope is negative.

3. every additional hat produced results in a cost increase of $.60

4. every additional hat produced results in a cost increase of $6.00

5. before producing any hats, the manufacturing costs are $100.00

6. the cost of producing 75 hats is approximately $136.00

Answers

Using linear function concepts, it is found that the correct statements are given by:

1. The slope is positive.

3. every additional hat produced results in a cost increase of $.60.

What is a linear function?

A linear function is modeled by:

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

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

When the amount increases by 10, the cost increases by $6, hence the slope is of m = 6/10 = 0.6.The y-intercept is the amount of producing 0 hats, which is of b = 105 - 6 = 99.

Hence statements 1 and 3 are correct.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer:

A. The slope is positive.

C. every additional hat produced results in a cost increase of $.60.Step-by-step explanation:

E. Before producing any hats, the manufacturing costs are about $100.00.

how to set up definite integral

Answers

Answer:

Step-by-step explanation:

First, determine where the quantity inside the absolute value bars is negative and where it is positive for example, So that's 6 times 8 minus 6 times negative 1. Okay and so this will be 48. Minus negative 6 which is 48 plus 6 which is 54 which is the answer.

Find the missing angles for every point here

Answers

In order to find the missing angles, we can see that vertically opposite angles and corresponding angles are equal.

46° + 82° + No. 4 = 180°

No. 4 = 180° - 128° = 52°

Therefore: No. 4 = No. 1 = 52° (vertically opposite angles)

What is angle?

In geometry, an angle is actually known to be the figure that is created by two rays that actually meet at an end point that is common to the both rays. It is represented by the symbol: ∠.

So, we can see that:

Line a || Line b and Line c || Line d

46° = 7 (corresponding angles)

So, 46° + 82° + No. 4 = 180°

Thus, No. 4 = 180° - 128° = 52°

Therefore:

No. 4 = No. 1 = 52° (vertically opposite angles)

No. 2 = 180° - 52° = 128° (angles on a straight line)

No. 2 = No. 3 = 128° (vertically opposite angles)

No. 7 = No. 6 = 46° (vertically opposite angles)

No. 8 = 180° - 46° = 134° (angles on a straight line)

No. 8 = No. 5 = 134° (vertically opposite angles).

82° = No. 11 (vertically opposite angles)

No. 9 = 180° - 82° = 98° (angles on a straight line)

No. 9 = No. 10 = 98° (vertically opposite angles)

No. 9 = No. 15 = 98° (alternate angles)

No. 13 = No. 15 = 98° (vertically opposite angles)

No. 12 = No. 14 = 82° (vertically opposite angles)

46°= No. 17 (vertically opposite angles)

No. 18 = 180° - 46° = 134° (angles at a point)

No. 18 = No. 16 = 134° (vertically opposite angles)

No. 19 = 180° - (46° + 82°) = 52° (sum of angles in a triangle)

No. 19 = No. 22 = 52° (vertically opposite angles)

No. 20 = 180° - 52° = 128° (angles on a straight line).

No. 20 = No. 21 = 128° (vertically opposite angles)

No. 25 = No. 2 = 128° (corresponding angles)

No. 25 = No. 24 = 128° (vertically opposite angles)

No. 23 = No. 26° (vertically opposite angles).

So, all the angles are:

1= 52°

2= 128°

3= 128°

4= 52°

5= 134°

6= 46°

7= 46°

8=134°

9= 98°

10= 98°

11= 82°

12= 82°

13= 98°

14= 82°

15= 98°

16= 134°

17= 46°

18= 134°

19= 52°

20= 128°

21= 128°

22= 52°

23= 52°

24= 128°

25= 128°

26= 52°

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Click on the numbers that fit the description.
(Choose 4)

Answers

Answer:

The given function is quadratic.

The maximum of the quadratic function is its vertex.

The x-coordinate is determined by x = - b/(2a)

x = - 20/(-16*2) = 5/8

Apply the x-value and find the value of f:

f(x) = - 16(5/8)² + 20(5/8) + 12 = 18.25 feet

Answer:

18.25

Step-by-step explanation:

we are given a quadratic function

[tex] f(x) = - 16 {x}^{2} + 20x + 12[/tex]

where:

f(x) represents the heightx represents the time

To find the maximum value of f(x) in other words, the maximum height, in feet, reached by the arrow.

Differentiate both sides:

[tex] f'(x) = \dfrac{d}{dx}( - 16 {x}^{2} + 20x + 12)[/tex]

with sum differentiation rule, we acquire:

[tex] \displaystyle f'(x) = \frac{d}{dx}( - 16 {x}^{2} )+ \frac{d}{dx} 20x + \frac{d}{dx} 12[/tex]

recall that,

differentiation of a constant is equal to 0[tex] \dfrac{d}{dx} {x}^{n} = n {x}^{n - 1} [/tex]

utilizing the rules we acquire:

[tex] \displaystyle f'(x) = - 32 {x}^{} + 20 [/tex]

now equate f'(x) to 0:

[tex] \displaystyle - 32 {x}^{} + 20 = 0[/tex]

solving the equation for x yields:

[tex]x _{max}= \dfrac{5}{8} [/tex]

plug in the maximum value of x into the quadratic function:

[tex]f(x )_{max}= - 16 {( \frac{5}{8} )}^{2} + 20( \frac{5}{8} ) + 12[/tex]

simplify:

[tex]f(x )_{max} = 18.25[/tex]

hence,

The maximum height reached by the arrow is 18.25 feet

write a quadratic function f whose only zero is 11

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here's the solution ~

To write a quadrilatic function, we have to use its roots, like we have to subtract the roots from x and multiply them ~ then we will get our required function !

Since our only root is 11 here, we have to do t double

[tex]\qquad \sf \dashrightarrow \:(x - 11)(x - 11)[/tex]

[tex]\qquad \sf \dashrightarrow \: {x}^{2} - 11x - 11x + 121 [/tex]

[tex]\qquad \sf \dashrightarrow \: {x}^{2} - 22x + 121[/tex]

That's our required function ~ I hope you understood the whole thing !

Find the value of X. Round your answer to the nearest tenth please

Answers

The value of x from the figure is 17.82 units

SOH CAH TOA identity

1) From the first figure.

Opposite side = x

Adjacent = 12

Using the SOH CAH TOA identity

tan53 = opp/adj

tan53 = x/12

x = 12tan53

x = 15.92 units

2) Using the SOH CAH TOA identity

cos27 = adj/hyp

cos27 = x/20

x = 20cos27

x = 17.82units

Hence the value of x from the figure is 17.82 units

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Cassie wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled floor is 4
5
6
ft by 2
1
3
ft. Find the area the carpet needs to cover.

Answers

Answer:

1456

Step-by-step explanation:

56x2x13

56x26

1456

The area of Sharon's garden is 40
sq ft. List all the possible lengths
and widths of Sharon's garden.

Answers

Answer:

1 and 40

2 and 20

4 and 10

5 and 8

Step-by-step explanation:

need to know the factors of 40

factors of are 1, 2, 4, 5, 8, 10, 20 and 40

possible lengths and widths would be

1 and 40

2 and 20

4 and 10

5 and 8

what is the percentage of this

Answers

Answer:

69%

Step-by-step explanation:

10×10 table, 69 cells are orange. Therefore the fraction 69/100 as a percentage is 69%.

Our school’s girls volleyball team has 14 players, including a set of
3 triplets: Alicia, Amanda, and Anna. In how many ways can we
choose 6 starters if at most one of the triplets is in the starting lineup? There can't be 2 or more triplets and there can be none.

Answers

Answer:

[tex]1,\!848[/tex].

Step-by-step explanation:

There are two disjoint sets of ways to choose a lineup as required:

Include none of Alicia, Amanda, or Anna, orInclude exactly one of Alicia, Amanda, and Anna.

Assume that none of Alicia, Amanda, or Anna is to be selected. This lineup of [tex]6[/tex] would then need to be selected from a set of [tex]14 - 3 = 11[/tex] players (which excludes Alicia, Amanda, and Anna.)

The number of ways of selecting (without order) [tex]6[/tex] items out of a set of [tex]11[/tex] (distinct) items is equal to the combination:

[tex]\begin{aligned}\begin{pmatrix}11 \\ 6\end{pmatrix} &= \frac{11!}{(6!)\, (11 - 6)!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].

Assume that Alicia is selected, but neither Amanda nor Anna is selected. The other [tex]6 - 1 = 5[/tex] players in this lineup would then need to be selected from a set of [tex]14 - 1 - 2 = 11[/tex] players. (This set of [tex]11[/tex] excludes Alicia, Amanda, and Anna.)

The number of ways to select [tex]5[/tex] items from a set of [tex]11[/tex] items is:

[tex]\begin{aligned}\begin{pmatrix}11 \\ 5\end{pmatrix} &= \frac{11!}{(5!)\, (11 - 5)!} \\ &= \frac{11!}{5! \times 6!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].

Similarly, there would be another set of [tex](11!) / (6! \times 5!)[/tex] distinct ways to select the lineup if Amanda is selected, but neither Alicia nor Anna is.

Likewise, the number of ways to select the lineup with Anna but neither Amanda nor Alicia would also be [tex](11!) / (6! \times 5!)[/tex].

These sets of configurations for the lineup are pairwise disjoint from one another. Thus, the total number of ways to select this lineup would be:

[tex]\begin{aligned}& \begin{pmatrix}11 \\ 6 \end{pmatrix} + 3 \times \begin{pmatrix}11 \\ 5 \end{pmatrix} \\ =\; & \frac{11!}{6! \times 5!} + 3 \times \frac{11!}{6! \times 5!} \\ =\; & \frac{4 \times 11!}{6! \times 5!} \\ =\; & \frac{4 \times 11 \times 10 \times 9 \times 8 \times 7}{5 \times 4 \times 3 \times 2} \\ =\; & \frac{11 \times 10 \times 9 \times 8 \times 7}{5 \times 3 \times 2} \\ =\; & 1,\!848\end{aligned}[/tex].

if g = 6x-9 and x = 15 what is g

Answers

Answer:

g= 81

Step-by-step explanation:

Replace X with 15

g = 6x -9

g = 6(15) - 9

g = 90 - 9

g = 81

Step-by-step explanation:

g=6x-9

putting the value of x

g=6×15-9

g=81

It takes 7 hours and 12 minutes to fly
from Singapore to Tokyo, Japan. You have
to arrive at the airport 45 minutes before
departure. It is a 17 minute taxi ride from
your hotel. By what time would you need
to leave the hotel if the flight lands
at 3:23 p.m.?

Answers

The time I would need to leave the hotel if the flight lands at 3:23 p.m is 7 : 09 am

What time should I leave the hotel?

The first step is to add the total hours of the flight to the time of the tax ride and the time you need to get to the airport.

7h + 12 min + 45 + 17 = 8 hours 14 minutes

Now subtact 8 hours 14 minutes form 3: 23

(12 + 3:23) - 8 hours 14 minutes =7 : 09 am

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Write the equation in standard form for the circle with center (0, -3) passing through (15/2 , 1)

Answers

Check the picture below, so the green line is really the radius of the circle, and we know its center.

[tex]~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad(\stackrel{x_2}{\frac{15}{2}}~,~\stackrel{y_2}{1})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\\stackrel{radius}{r}=\sqrt{[\frac{15}{2} - 0]^2 + [1 - (-3)]^2}\implies r=\sqrt{\left( \frac{15}{2} \right)^2 + (1+3)^2}\\\\\\r=\sqrt{\left( \frac{15}{2} \right)^2 +4^2}\implies r=\sqrt{\frac{225}{4} + 16}\implies r=\sqrt{\cfrac{289}{4}}\implies r=\cfrac{17}{2}\\\\[-0.35em]\rule{34em}{0.25pt}[/tex]

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{0}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{\frac{17}{2}}{ r} \\\\\\\ [x-0]^2~~ + ~~[y-(-3)]^2~~ = ~~\left( \cfrac{17}{2} \right)^2\implies x^2+(y+3)^2 = \cfrac{289}{4}[/tex]

The equation w = 20n models the total weight of honey, w, in
pounds that a beekeeper expects to collect from n hives.
a. Graph the relationship modeled by the equation. Include a
title on each axis.
b. How does the graph show the expected rate of pounds of
honey per hive? How is this rate related to the equation?

Answers

The graph of the weight function w = 20n is an illustration of linear equations

The expected weight of honey per hive is 20 pounds

The graph of the model

The equation of the model is given as:

w = 20n

To plot the graph, we use the following representations

n is plotted on the horizontal axisw is plotted on the vertical axis

See attachment for the graph of w = 20n

Interpret the graph

The graph shows that:

As the number of hives increases, the weight of honey increasesThe expected weight of honey per hive is 20 pounds

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Find the area. Do you multiply all sides?

Answers

Answer:

The area of the Trapezoid is :

h(a+b)/2

3(2+6.2)/2

3(8.2)/2

24.6/2

12.3 m²

Answer:

Step-by-step explanation:

I think you are to assume that this is a trapezoid and that the top right angle symbol is missing.

Area = (b1 + b2 ) * h /2

Givens

b1 = 2

b2 = 6.2

h = 3

Solution

Area = (2 + 6.2)* 3 / 2 Combine what is inside the brackets

Area = 8.2 * 3 / 2 Divide by 2

Area = 4.1 * 3 Combine

Answer: Area = 12.3

List the following fractions from least to greatest 1/6 2/3 1/2 1/3

Answers

Answer:

1/6 < 1/3 < 1/2 < 2/3

Step-by-step explanation:

We can turn the following to decimal;

1/6 = 0.16666666666

2/3 = 0.66666666666

1/2 = 0.5

1/3 = 0.33333333333

0.16666666666 < 0.33333333333 < 0.5 < 0.66666666666

Thus, from least to greatest is 1/6 < 1/3 < 1/2 < 2/3

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How many times does 8 go into the 7 1/2

Answers

Answer:

0.9375

Step-by-step explanation:

1/2=0.5

7.5÷8

=0.9375

barely even once

An angle that measures exactly 180° is known as a/an _____ angle

Answers

Answer:

An angle that measures exactly 180° is known as a straight angle

Step-by-step explanation:

A straight angle is basically just a line. It is equal to two right angles (which are 90 degrees) and it is also half of a circle.

I hope this was helpful! If you need any more information on straight angles or any other angles, let me know! Have a lovely day! :)

Help picture below problem 10

Answers

Answer:

180-52=128

Do mark BRAINLIEST

Find the unit price. 14 ounces of canned corn for $1.96

Answers

The unit price of canned corn is $0.14

14 ounces = $1.96

1 ounce = 1.96 / 14

= 0.14

simplificar la radicacion 18

Answers

Answer:

441

Step-by-step explanation:

What is the Area of this shape?

Answers

Answer:

448 ft ^2

Step-by-step explanation:

[tex]A = \frac{b_{1} + b_{2}}{2} * h\\A = \frac{17 + 39}{2} * 16\\A = \frac{56}{2} * 16\\\\A = 28 * 16\\\\A = 448 ft^{2}[/tex]

Hope this helps,

If best, mark brainliest, if not, hope it helps anyway.

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