Please see attached photo for problem from my homework set.

Answer:

81

Step-by-step explanation:

Average | x = 81

Count | n = 5

Sum | Sum = 405

Solution:

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 405 / 5

= 81

Answer:

:)

Step-by-step explanation:

For simplicity I will substitue [tex]x[/tex] for β.

[tex]1-sin(2x)=(cosx-sinx)^2\\1-2sin(x)cos(x)=cos^2x-2sin(x)cos(x)+sin^2x\\1=cos^2(x)+sin^2(x)\\1=1[/tex]

In the first step I used the identity

[tex]sin(2x)=2sin(x)cos(x)[/tex]

And I factored out [tex](cosx-sinx)^2[/tex]

Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.

[tex]cos^2(x)+sin^2(x)=1[/tex]

That's it!

Answer:

B

Step-by-step explanation:

The -2 reflects across the x -axis

The + 1   shifts it up one unit

Answer:

(49,-56)

Step-by-step explanation:

I not sure but scale factor show the magnitude therefore you multiply by the scale factor to get the image.

The number of shares could he buy is 63.19 and 126.38. Then the profit gained by Bob is $764.68.

Bob Orleans invested $3,000 and borrowed $3,000 to purchase shares in Verizon Communications.

At the time of his investment, Verizon was selling for $47 a share.

If Bob paid a $30 commission, then the number of shares could he buy if he used only his own money and did not use margin.

[tex]\rightarrow \dfrac{3000- 30}{47}\\\\\rightarrow \dfrac{2970}{47}\\\\\rightarrow 63.19[/tex]

If Bob paid a $60 commission, then the number of shares could he buy if he used his $3,000 and borrowed $3,000 on margin to buy Verizon stock will be

[tex]\rightarrow \dfrac{6000 - 60 }{47}\\\\\rightarrow \dfrac{5940}{47}\\\\\rightarrow 126.38[/tex]

Assume Bob did use margin and paid a $60 total commission to buy his Verizon stock. Also, assume he paid another $60 to sell his stock and sold the stock for $54 a share. Then the profit will be

[tex]\rightarrow (126.38 \times 54 - 60) - (6000)\\\\\rightarrow (6824.68 - 60) - 6000\\\\\rightarrow 6764.68 - 6000\\\\\rightarrow \$764.68[/tex]

More about the profit link is given below.

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Answer:

b*34

Step-by-step explanation:

an expression does not include an equal sign but an equation does

The cost for the contractor to have all the dirt hauled away for a foundation of 12 feet long, 9 feet wide and 6 feet deep is $720

volume of a rectangular prism = lwh

where

Therefore,

l = 12 ft

w = 9 ft

h = 6 ft

volume of the foundation = 12 × 9 × 6

volume of the foundation = 648 ft³

Therefore, the contractor pays $180 per load for the trucks remove the dirt.

648 cubic feet = 24 cubic yard

6 cubic yards = 1 truck load

24 cubic yard =

cross multiply

number of truck load = 24 / 6 = 4 truck loads

Hence,

1 truck load = $180

4 truck load =?

cross multiply

cost = 4 × 180 = $720

learn more on volume here: https://brainly.com/question/3008257

first off, let's notice that "x" and "y" are encapsulating a function in terms of time or namely "t", and that dy/dt is decreasing at a rate of 3 cm/s, since the rate is decreasing, that makes the rate negative, thus is changing at -3 cm/s.

[tex]xy=12\implies \stackrel{product~rule}{\cfrac{dx}{dt}y~~ + ~~ x\cfrac{dy}{dt}}~~ = ~~0\implies \cfrac{dx}{dt}y~~ + ~~x(-3)~~ = ~~0 \\\\\\ \cfrac{dx}{dt}y=3x\implies \left. \cfrac{dx}{dt}=\cfrac{3x}{y} \right|_{(\stackrel{x}{4},\stackrel{y}{3})}\implies \cfrac{3(4)}{3}\implies 4[/tex]

Answer:

A,C and E

Step-by-step explanation:

For every 3ml of vinegar we have 8ml of oil

This implies that

For case (A):

80ml of oil with 30ml of vinegar

dividing the amount of vinegar by 3 and multiplying the result by 8 gives 80 I.e

[tex]8ml (oil)\alpha 3ml(vinegar) \\ \frac{30ml(vinegar)}{2} = 10 \\ multiplying \: by \: 8 \: gives \: 80ml(oil)[/tex]

hence that's it

Answer:

Dosage strength

250mg = 1.5mL

Answer:

When a figure is dilated by a scale factor of a/b, then the new perimeter is a/b of the original perimeter and the new area is a 2 b 2 of the original area. Therefore, if the hexagon is dilated by a scale factor of , then the new perimeter is of the original perimeter.

Answer:

24

Step-by-step explanation:

just MultiplMultiply 8 times 3 and 24

Answer:

I believe the answer is 200 feet squared

Step-by-step explanation:

Answer:

i think it is diameter

Step-by-step explanation:

if you are in England

Answer:

CHORD

Step-by-step explanation:

A chord of a circle is any line segment joining two points on the circumference of the circle

(Diameter is the longest chord of a circle which passes through the center of the circle)

Since this line does not pass through the center,this is a chord

Answer:

12

Step-by-step explanation:

Answer:

B. 8.35

Step-by-step explanation:

3.5 x 1.7 = 5.95

5.95 + 2.4 = 8.35

You multiply first because of PEMDAS.

P=parenthesis

E=exponents

M=multiply
D=divide
A=add
S=subtract

Answer:

16 percent of times are between 6 and 22

Answer: c I think. Sorry I'm wrong. Might be a.

Step-by-step explanation:

Answer:

I would divide both sides by -3 then flip your sign since it is a multiplication equation in -3x which means you have to isolate it to find x.

Answer:

D

Step-by-step explanation:

You divide both sides by 3 and then you flip the sign.

The measure of angle J is 19.8°, and the correct option is D.

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

[tex]\rm j^2 = h^2 + i^2 -2hicosC[/tex]

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

[tex]\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8[/tex]

Hence,  the measure of angle J is 19.8°, and the correct option is D.

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12=1

4=3

11=4

3=2

0=3

13=3

2=2

6=1

10=2

9=1

Answer:

2.5678 to the nearest half is 13,000

Answer: I think it would be 5 1/2 or 5.5 Fraction and decimal

Step-by-step explanation: Hope this helps! :)

Answer: Approximately 137.74977 square units

===================================================

Explanation:

We can use Heron's formula to find the area of a triangle when given all three sides.

First we need the semiperimeter

s = semiperimeter

s = (perimeter)/2

s = (a+b+c)/2

s = (28+28+10)/2

s = 33

Now we can compute the area of the triangle.

[tex]A = \sqrt{s(s-a)(s-b)(s-c)}\\\\A = \sqrt{33(33-28)(33-28)(33-10)}\\\\A = \sqrt{18975}\\\\A \approx 137.74977\\\\[/tex]

Answer:

10:25

Step-by-step explanation:

Answer:

21.4 I think, I might be wrong though

Answer:

c : they will have both saved 97

Step-by-step explanation:

7*6 = 42 + 55(base) = 97

12*6 = 71 = 25(base) =97

What do we know so far:

  *we converted the number of laps into improper fractions

        [tex]2\frac{2}{3} = \frac{8}{3}[/tex]

We want to know the number of laps in an hour

  ⇒ so we must find the rate which ⇒ lap/hour

   [tex]lap/hour =\frac{8/3laps}{4/15hours} =\frac{8}{3}*\frac{15}{4} =\frac{8}{4} *\frac{15}{3} =2*5=10laps/hour[/tex]

So William can run ⇒ 10 laps in one hour

Hope that helps!