Donal buys a 1/4 pound package of cheese. There are 8 slices of cheese in the package. Each slice has the same wieght. What fraction of a pound is each slice?

Answer:

c = 65h.

Step-by-step explanation:

cost = rate per hour * hours worked:

c = 65 * h .

Answer:

See below ↓↓↓

Step-by-step explanation:

Part A

Total length = Side 1 + Side 2

Part B

Length of 3rd side = Perimeter - [Side 1 + Side 2]

Part C

Yes, as the resulting polynomial has a finite value we can conclude that polynomials are closed under addition and subtraction.

Part A: The total length of the two sides of the triangle is [tex]5x^2+7x-4[/tex]. This is obtained by adding the given two sides.

Part B: The length of the third side is [tex]5x^3-x^2-8x+1[/tex]. This is obtained by subtracting the sum of two sides from the perimeter of the triangle.

Part C: Yes, the Part A and Part B answers show that the polynomials are closed under addition and subtraction. This is because the expressions have like terms.

Given that, a triangle has two sides of length [tex]3x^2-2x-1[/tex] and [tex]9x+2x^2-3[/tex]

The perimeter of the triangle is [tex]5x^3+4x^2-x-3[/tex]

Part A:

To find the total length of two sides, adding the two side

⇒ [tex](3x^2-2x-1)+9x+2x^2-3\\[/tex]

⇒ [tex]5x^2+7x-4[/tex]

(adding the like terms w.r.t their sign)

Part B:

To find the length of the third side, subtract the sum of two sides from the perimeter.

⇒ [tex](5x^3+4x^2-x-3)-(5x^2+7x-4)[/tex]

⇒ [tex]5x^3-x^2-8x+1[/tex]

Part C:

From Part A and Part B, it is proved that the polynomials undergo addition and subtraction. Hence, it is justified.

Therefore, Part A, Part B, and Part C were obtained.

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keeping in mind that Mt Everest is 8000 meters, or namely 8 Kilometers, Check the picture below.

Answer:

14000

Step-by-step explanation:

The number in the thousands place is 4 so we look at the number after it which is 2:

Using the rounding rule, the number 2 is below 5 so we keep the 4 at 4:

So our answer is 14000.

Answer:

14000

Step-by-step explanation:

Since they are asking for us to round it to the nearest thousands, we have to look at the hundreds place to figure out whether we should round up or down. The number in the hundreds place is 2, and that means we round down to 14000 ("four or less, let it rest. five or more, raise the score").

Therefore, 14295.67 rounded to the nearest thousand is 14000.

I hope this helps! Have a lovely day!! :)

The interest percent and the maturity period of the $70,000 mortgage with a monthly payment of $629.81 are A. 9%, 20 years.

The monthly payments can be computed using the present value annuity table or formula.

However, to compute the percent interest and the maturity period, we can use an online finance calculator as below by inputting the calculated monthly payments.

Thus, at an interest rate of 9% for 20 years and a monthly payment of $629.81, the present value of $70,000 will be equal.

N (# of periods) = 240 (20 years x 12)

I/Y (Interest per year) = 9%

PMT (Periodic Payment) = $629.81

FV (Future Value) = $0

Results:

PV = $70,000.20

Sum of all periodic payments = $151,154.40 ($629.81 x 240)

Total Interest $81,154.20

The interest percent and the maturity period of the $70,000 mortgage with a monthly payment of $629.81 are A. 9%, 20 years.

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Answer:

6

Step-by-step explanation:

, , , , ,, , , , , , , , ,sssss

Answer:

1. Colored men

2. Not really sure, but maybe on a wall ??

3. To notify colored men what the president proclaimed

Step-by-step explanation:

The linear relationship on the table has a constant slope

The linear relationship is (c) y is 3 times x

The table of values is given as:

x l y

3 l 9

0 l 0

For both x and y values on the table, we have:

y = 3x

i.e.

3 * 3 = 9 and 3 * 0 = 0

This means that the linear relationship is (c) y is 3 times x

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To find this answer, we need to understand how to get the Volume.

We get the volume by the formula: L x W x H

L = Length

W = Width

H = Height

So, we can see that there are 3 units required to know for getting the volume, if that's true, then, to do the inverse operation of finding the volume. That can be done by using thie formula:

[tex]V=a^3[/tex]

a= edge

Solving for a

a=V⅓=216⅓=6

now, let's look at how to find whether our answer is right or wrong

6x6=36

36x6=216

So hence, our answer is right!

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The length of a betta fish tank that has a shape of a cube and volume of 216 cubic inches is 6 inches.

A cube has all its sides equal to each other. Therefore,

volume of cube = L³

where

Therefore,

L = >

volume = 216 cubic inches

volume of cube = L³

216 = L³

cube root both sides

∛216 = ∛L³

L = ∛216

L = 6 inches

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Explanation:

90° is 90/360 = 1/4 of a full 360° rotation. Meaning that if the central angle of the pizza slice is 90°, then we have four equal slices.

One slice is 7 square inches, so all four slices combine to 7*4 = 28 square inches

Answer

Force a perfect square trinomial on the left side. Take the square root of both sides and solve for

3√  3, − 5 − 3 √ 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2x2squared-7)2squared=9 2squared

4x4squared-28x2squared+49=81

4x4squared-28x2squared=81-49

4x4squared-28x2squared=32

The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

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Answer:

[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]

Step-by-step explanation:

Given:

shape of object = Pyramidal

length of base l= 4ft

width of base w = 3ft

height of pyramid h = 6 ft

To find:

volume of pyramid = ?

Solution:

[tex]Volume \: of \: pyramid= \frac{l \times w \times h}{3} \\ Volume \: of \: pyramid= \frac{6 \times 4 \times 3}{3} \\ Volume \: of \: pyramid= \frac{24 \times \not3}{ \not3} \\ Volume \: of \: pyramid= 24 \: {ft}^{3} [/tex]

[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]

Answer:

The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %.

The quantity of rotations (n), no unit, done by a wheel is equal by total traveled distance (s), in inches, divided by its circumference (p), in inches:

[tex]n = \frac{s}{p}[/tex]  

[tex]n = \frac{s}{\pi\cdot D}[/tex]   (1)

Where D is the diameter of the wheel, in inches.

If we know that n = 651 and D = 31 in, then the travelled distance is:

s = (651) · π · (31 in)   (2)

s ≈ 63400.481 in

The travelled distance of the 31-in diameter wheel with 651 rotations is approximately 63400.481 inches.

By (2) we understand that the travelled distance is directly proportional to the diameter. Hence, if the diameter of the wheel is increased by 20 %, then we must multiply the diameter by 1.2 and divide the travelled distance by this result:

s ≈ 1.2 · π · (31 in)

s ≈ 116.867 in

[tex]n = \frac{63400.481\,in}{116.867\,in}[/tex]

[tex]n = 542.501[/tex]

The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %. [tex]\blacksquare[/tex]

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Answer: c. Step-by-step explanation:

The linear function f(x) = ax + b has a constant rate

The conclusion from the each interval is that the function values changes at a constant rate

The linear function is given as:

f(x) = ax + b

The interval is given as:

[-3,3] and [9,15]

Since the function is a linear function, the conclusion from the each interval is that the function values changes at a constant rate

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Answer:

<DFE

Step-by-step explanation:

Verticle angles are when they are directly apart and equal. So,

Answer:

median = 55.5

Step-by-step explanation:

Here we have 10 numbers which is an even number

then the median for the data set is the average of the two middle numbers

firstly ,we have to put the number of the set in order from least to greatest like this :

3 < 12 < 38 < 38 < 46 < 65 < 71 < 78 < 87 < 99

————————                     ————————-

As you can see the middle two numbers are : 46 and 65

Now, we calculate their average :

[tex]\large \text Median = \frac{46+65}{2}= 55.5[/tex]            

The value of c in the equation, 1/5c = 2 1/2 when divided is 12 1/2.

Fractions are numbers that are non integers. They are ususally made up of numerators and denominators. The numerator is the number above and the denominator is the number below.

In order to determine the value of c, divide 2 1/2 by 1/5

2 1/2 ÷ 1/5

Convert the mixed fraction to an improper fraction

5/2 x 5 = 25/2 = 12 1/2

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The y-intercept will be where it crosses the y-axis. The y-axis is the line that goes up and down also know a vertically.

Answer:

probably 20 man think about it

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

:)

The sine equation is  [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex]  an option (c) is correct.

It is given that the blades of a windmill turn on an axis that is 35 feet above the ground. the blades are 10 feet long and complete two rotations every minute.

It is required to model the sine equation.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know the standard equation for the sine equation:

[tex]\rm y = Asin(wx)+h[/tex]

Where [tex]\rm T=\frac{2\pi}{w}[/tex]

[tex]\rm w = \frac{2\pi}{30}[/tex]   ( In one minute, they complete two rotations.)

[tex]\rm w = \frac{\pi}{15}[/tex]  ( T = 30)

At time t=0, the blade is horizontal. Hence, at t = 0, h = 35

And A = 10

Put all the values in the sine equation:

[tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex]

Thus, the sine equation is  [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex] an option (c) is correct.

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Answer:

50.46???

Step-by-step explanation: im bad at  this so if it help ima be proud nut uhhh i tryed ...

Answer:

x=20

Step-by-step explanation:

(1/2)*10.5*(8.8+x)=151.2

8.8+x=151.2*2/10.5

8.8+x=28.8

x=28.8-8.8

x=20

Answer: 20 cm

Step-by-step explanation:

area of trapeziod = ( (base + base) / 2) x height

151.2 = ( (8.8 + base) / 2 ) x 10.5

14.4 = ( (8.8 + base) / 2)

14.4 x 2 = 8.8 + base

28.8 - 8.8 = base

base = 20 cm

Answer:

y=-2/1+4

or y=-2+4

Step-by-step explanation:

to find the slope, you count from one point of intersection to the next and the way it works is y/x so the line from one point to the next goes down 2 (making it negative also) and over 1, so -2/1 is your slope, and for the b part.. its just where the line intersects on the y axis (the line that goes up and down) so it would be 4

Answer:

15.

If we look at angle BOD, that would form a right angle (90°), given that one part of that whole angle is 30°, the other would be;

30° + x = 90°

-30        -30

x = 60°, therefore ∠BOC = 60°.

If we take a look at angle EOC, we can see that that angle is a straight angle (180°), we can also see that a right angle (90°) is a part of that angle alongside the angle we just previously found (60°). So all of those angles plus the unknown angle (AOE) which we will consider 'x' summed up would result in 180 degrees.

Now we set up the equation;

90° + 60° + x = 180°

150 + x = 180

-150       -150

x = 30°, therefore ∠AOE = 30°.

16.

The sum of the interior angles in a triangle will always equal 180°. (We can also confirm this using the formula (n - 2) x 180.)

Given two of the angles, we must add them and the unknown angle(D) which we will consider 'x' to make it result in 180°.

Now we set up the equation;

55° + 18° + x = 180°

73 + x = 180

-73         -73

x = 107°, therefore ∠EDF = 107°.

17.

To find angle P, we must first find the supplement of 34° because 34° and the angle beside forms a straight angle (180°).

Set up an equation;

34 + x = 180

-34         -34

x = 146°, now that we've found the supplement, we add this supplement with the other given angle (23°) because all three angles (unknown angle which we will consider x + 23 + 146) will equal 180°(sum of interior angles of triangle).

146° + 23° + x = 180°

169 + x = 180

-169        -169

x = 11°, therefore ∠QPR = 11°.

18.

Seeing that the bigger triangle has a 90° angle (indicated with a square), and two other equal angles(indicated with the two lines on both legs of the big triangle), we solve for those two missing equal angles in the bigger triangle which we will then use to solve for the smaller triangle's angle.

2x + 90° = 180°

-90            -90

2x = 90

/2     /2

x = 45°, so now we know the two angles in the bigger triangle excluding the right angle.

One of those equal angles is vertical to the smaller triangle, and vertical angles are congruent.

Hence, the angle vertical to the bigger triangle in the smaller triangle will be 45°.

Now we solve for ∠CDE.

Add the two angles and the missing angle to equal 180°.

Set up the equation;

86° + 45° + x = 180°

131 + x = 180

-131        -131

x = 49°, so ∠CDE = 49°.

Answer:

12 inches

Step-by-step explanation:

This is a square of sidee length 3 inches.  As there are four (equal) sides, the perimeter of this square magnet is 4(3 inches), or 12 inches.

Step-by-step explanation:

1) C

2) B

5) C

6)D

7) D

8) B

9) Figure not clear

10) C

11) D

12) B

13) D

14) A

15) D

P.S try to do ur own tests