Graph the line with the equation y= 4/5 x+2.

Answer:

4

Step-by-step explanation:

cos(-π) = -1 [in radians]

3-(-1) = 4

There are many ways to answer this but, I'll try to explain it.

You can see that you are computing a limit when some n approaches negative PI. You get to substitute negative PI instead of n and compute cos(-pi) which is -1.

Then compute f(x) - (-1) = 3 - (-1) = 4 which is a result.

The way you can imagine cos(-pi) or cos(-90deg) is by dragging point in a unit circle beneath x-axis and to the bottom y-axis (-90 angle), the y coordinate tells you the cosine value at (-90) and because you have dragged the point on the unit down to y-axis the value is -1.

Hope this helps.

Answer:

hope this helps

Step-by-step explanation:

Answer:

2=41     1=49      3=49

Step-by-step explanation:

Angle 2 = 41 because it is directly across the given angle.

Angles 1 and 3 are equal, and the total number of degrees in the rombus are 180.

41+41=82

180-82=98

98 / 2 = 49

Angles and 3 both equal 49

Answer:

2=41°(Alternate Interior angles)

1=41°(diagonal of rhombus bisects the interior angles)

3=49°(180-82/2)

Step-by-step explanation:

Answer:

3x - y = -3

Step-by-step explanation:

divide everything by 4, the greatest common factor. That's all you need to do.

Answer: y=3x+3

Step-by-step explanation:

12x -4y= -12

subtract 12x from both sides

-4y= -12x-12

Divide everything by -4 to make y positive and alone

y=3x+3

Complete question :

Mavis is interested in whether military dependency is related to gender in American Samoa. Here is data she collected about the population of American Samoa in 2010.

Millitary status _________ female ____ Male

In armed forces _________ 28 _______ 59

Millitary dependent ______ 928 ______ 781

Civilian _______________ 26393 ___27330

Answer:

Male = 0.4193

Female = 0.5087

Step-by-step explanation:

To obtain the marginal distribution of gender :

Total number of civilians (male + female)

(26393 + 27330) = 53,723

Male :

P(male) = number of male / total

P(male) = 26393 / 53,723 = 0.4912793

P(Female) = number of Female / total

P(Female) = 27330 / 53,723 = 0.5087206

Answer:

2400 foot pounds

Step-by-step explanation:

The amount of work done by the four men is  1200 ft-lbs. so option B is correct.

The muscular work done by each man is equal to the weight of the boxes carried multiplied by the vertical distance moved.

The weight of each box is 5 pounds, and each man carries 20 boxes, so the total weight carried by each man is:

20 boxes x 5 pounds/box = 100 pounds

The vertical distance moved is the height of the ramp, which is 30 feet.

Therefore, the muscular work done by each man is:

Muscular work = weight x vertical distance

Muscular work = 100 pounds * 30 feet

Muscular work = 3000 ft-lbs

Since there are four men carrying boxes, the total muscular work done is:

Total muscular work = 4 * 3000 ft-lbs = 12000 ft-lbs

Therefore, the answer is B. 1200 ft-lbs.

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Answer:

14 : 12 , 21 : 18 and 28 : 24

Step-by-step explanation:

Answer:

a. $1,800

b. Commission would double as well.

Step-by-step explanation:

Commission paid on $36,000 worth of furnaces with a rate of 5% is:

= Amount of sales * commission rate

= 36,000 * 5%

= $1,800

If the sales were to double, the commission would be based on double the amount so it would double as well.

= 36,000 * 2

= $72,000

Commission = 72,000 * 5%

= $3,600

Commission therefore doubled.

Answer:

1,800

Step-by-step explanation: I dont know but this is the right awnser

Answer:

t = 1 s

Step-by-step explanation:

The function models the height of the ball after t seconds is given by :

[tex]h=32t - 16t^2[/tex]

We need to find how many seconds does it take for the ball to reach its maximum height.

For maximum height put dh/dt = 0

[tex]\dfrac{dh}{dt}=\dfrac{d}{dt}(32t - 16t^2)\\=32-32t[/tex]

So,

32-32t = 0

t = 1

So, it will take 1 second to reach its maximum height.

Answer: [tex]\frac{3}{6}[/tex] or 0.5

Step-by-step explanation:

It has 6 sides,  {1,2,3,4,5}. So the total number of cases is 6.

Even number includes  {2,4,6}.  The sample space of rolling an even is 3.

The probability of rolling an even number formula is:

P(Rollinganevennumber)= [tex]\frac{Number of cases in the sample space​}{Total number of cases}[/tex]

The probability of an even number is [tex]\frac{3}{6}[/tex] or 0.5

Answer:

252

Step-by-step explanation:

22 it would be 22 because adding all of them together is 22 meaning your welcome

Answer:

Circumference is equal to pi by diameter

22/7 ×4

the answer is equal to C= π×4

Answer:

B. C=pi x 4

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

9/28

Step-by-step explanation:

-1/4 ÷ (-7/9)

= -1/4 x -9/7

- x - = +

So, 9/28 #

Answer:

always

Step-by-step explanation:

Answer:

Use distributive property and multiply

Step-by-step explanation:

then you will get your polynomial

Answer:

if you needed it simplify its 4x^2-6x-4

Answer:

maybe 24

Step-by-step explanation:

Answer:

Susan pays $2220 more interest than Robert

Step-by-step explanation:

Interest = principle times rate times the time

I = PRT

Robert:  I = 30000(.049)(4) = $5880  

Susan:   I = 30000(.045)(6) = $8100

8100 - 5880 = $2220

Answer:

-9

Step-by-step explanation:

The requried range of the radio station is given as 1256 square miles.

The area of the circle is given by the pie times square of the radius.
A = πr², where r is the radius of the circle.

Here,
A small radio station can broadcast in a circular range with a radius of 20 miles.
The range is given by the area of the circle with given radius,
Area of the circle = πr²
Area of the circle = 3.14 × 20²
area of the circle = 1256 square miles

Thus, the requried range of the radio station is given as 1256 square miles.

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Answer:

1. 4y-12

2. c

For #1 you distribute the 4 to the y and the 3. 4 times 3 equals 12.

For #2 you factor out the 3 and you get 3(5x+1)

Answer:

4y-12

Step-by-step explanation:

Multiply the outside number by the numbers in the bracket.

Example:4×y=4y Because y=1

4×3=12

2.Answer C

3(5x+1)

3×5x=15x

3×1=1

Which is equivalent to 3(5x+3)

Hope this helps.

Answer:

42.667 mm to 42,673 mm

Step-by-step explanation:

42.67-0.003=42.667

42.67+0.003=42.673

Add and subtract the discreprency from the standard size.

Answer:

l got 11.056

Step-by-step explanation:

lf 712months=64.4 pounds

wat bout 1month u cross multiply.

[tex] \1 \times 64.4 \div 712 = 11.055900621118[/tex]

then u round off the number

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Answer:

9.1 (A)

Step-by-step explanation:

27.9 - 18.8 = 9.1

hope this helps u

Answer:

0.9937

Step-by-step explanation:

Answer:

y = -0.5

Step-by-step explanation:

Since 6 can be multiplied to -3, we can make an equation to make 6 turn into -3

6 ÷ -2 = -3

So since we did that with 6, the denominator, we do the same with 1, the numerator

1 ÷ -2 = -0.5

So the new numerator is -0.5, and the new denominator is -3

And the two fractions are the same