Find Q, if cos(Q + 60) = 0.0872, where 0 degrees < Q < 90 degrees

Answer:

2/15

Step-by-step explanation:

We need to find the difference between the houses

Peter - Natalie

3/10 - 1/6

Get a common denominator of 30

3/10 * 3/3 - 1/6*5/5

9/30 - 5/30

4/30

Divide top and bottom by 2

2/15

Answer:

What is the question?

Answer:

F = -3.2 is the answer

Given:

Principal amount =P=6000$

Required amount =A=8000$

Rate of compunded interest;r=9%=0.09

Let the number of years be 'n'

So.

A=P(1+r)^t

=> 8000 =6000 (1+0.09)^t

=>8000/6000 =(1.09)^t

=> 8/6 =4/3=1.999.. = (1.09)^t

=> (1.09)^t =1.999≈2

(After using calculator)

(1.09)^3 =1.2950...

(1.09)^9 =2.17189...

So approximately The Time in years required is 9 years... i.e option c.

Hope it helps...

Regards,

Leukonov/Olegion.

Answer:

The answer is approximately 3 years ⇒ answer B

Step-by-step explanation:

* Lets talk about the compound continuous interest  

- Compound continuous interest can be calculated using the formula:  

 A = P e^rt  

# A = the future value of the investment, including interest  

# P = the principal investment amount (the initial amount)

# r = the interest rate  

# t = the time the money is invested for  

- The formula gives you the future value of an investment,  

  which is compound continuous interest plus the

  principal.  

- If you want to calculate the compound interest only, you need  

 to deduct the principal from the result.  

- So, your formula is:

 Compounded interest only = Pe^(rt)  - P

* Now lets solve the problem

∵ P = $ 6000

∵ A = $ 8000

∵ r = 9/100 = 0.09

∵ t = ?  

∵ A = P e^(r t)

∴ 8000 = 6000 e^(0.09 × t) ⇒ divide both sides by 6000

∴ 4/3 = e^(0.09 × t) ⇒ insert ㏑ for both sides

∴ ㏑(4/3) = ㏑ e^(0.09 × t) ⇒ (㏑e = 1)

∴ ㏑(4/3) = 0.09 t ⇒ divide the both sides by 0.09

∴ t = [㏑(4/3)] ÷ 0.09 = 3.196467 ≅ 3 years

Answer:

Correct choice is D). 8y + 96​.

Step-by-step explanation:

Given expression is [tex]8\left(y+12\right)[/tex].

Now question says to simplify that expression using distributive property then find the correct matching choice from the given choices:

A). 8y=12

B). 20y

C). 20 - y

D). 8y + 96​

So let's distribute 8 by using distributive property

[tex]a\left(b+c\right)=a\left(b\right)+a\left(c\right)[/tex]

[tex]8\left(y+12\right)=8\left(y\right)+8\left(12\right)[/tex]

[tex]8\left(y+12\right)=8y+96[/tex]

Hence correct choice is D). 8y + 96​.

Answer:

Team E appears to have the larger mean weight.

Step-by-step explanation:

After seeing the dot plot of two teams i.e. Team E and Team F the conclusion that can be drawn regarding the larger mean of the team is that:

Team E is expected to have larger mean since the dots are for the higher values of weights  and hence will result in higher mean. whereas for team F the dots or frequencies are for smaller weights and hence will result in a less mean as compared to team E.

Hence, Team E appears to have the larger mean weight.

Answer:

team E

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

The number 64 is a perfect cube and square also. Option C: Cube and square

In mathematics, a perfect cube is a number that is the cube of an integer.

In other words, it is the product obtained when an integer is multiplied by itself twice.

Since perfect square is a number system that can be expressed as the

square of a given number from the same system.

The perfect cube of 4 is 64 because 4 x 4 x 4 = 64.

Hence, option B is correct.

The perfect Square of 8 is 64 because 8 x 8 = 64.

Hence, option A is correct.

Learn more about perfect square;

https://brainly.com/question/385286

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Answer: I believe it is A

Step-by-step explanation:

In this table, you have to look at multiple things in the table. So you have to look at where it says Under 40 and that don't read the paper. So according to what I learned with this, you would have to do 36/40 and then get 0.9 which would be in percent form: 90 %.

I would recommend looking at another person's response also, before you submit this question. But hope this helps!

The probability that a person surveyed is under and does not get the news by reading the paper is A; 90%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

So,

P(a person is under 40 and doesn't get the news by reading the paper)

= 36/40

= 0.90

= 90 %  

Hence, option A is correct.

Learn more about probability here;

https://brainly.com/question/11234923

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Answer:

The height of the prism is [tex]7.5\ ft[/tex]

Step-by-step explanation:

we know that

The volume of the prism is equal to

[tex]V=BH[/tex]

where

B is the area of the base of prism

H is the height of the prism

Find the area of the base B

[tex]B=(5)(8)=40\ ft^{2}[/tex]

we have

[tex]V=300\ ft^{3}[/tex]

substitute in the formula and solve for H

[tex]300=40(H)[/tex]

[tex]H=300/40[/tex]

[tex]H=7.5\ ft[/tex]

The value of x is 15. When you draw out all three triangles individually, the proportion is 9/x=x/25. X squared equals 225. The square root of 225 is 15

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &degrees\\ \cline{1-2} r=&6\\ \theta =&87 \end{cases}\implies A=\cfrac{\pi (87)(6)^2}{360}\implies A=\cfrac{87\pi }{10} \\\\\\ A\approx 27.332\implies \stackrel{\textit{rounded up}}{A=27.3}[/tex]

Answer: 1. 266

             2. 72

1. 95 : 15 = ___ : 42

Form a proportion. Let x be the missing term.

[tex]\frac{95}{15} = \frac{x}{42}[/tex]

Solve for x by cross-multiplying.

[tex]15x = 95(42)\\15x = 3990\\x = 266[/tex]  

2. 98 : 112 = 63 : ___

Form a proportion. Let x be the missing term.

[tex]\frac{98}{112} = \frac{63}{x}[/tex]

Solve for x by cross-multiplying.

[tex]98x = 112(63)\\98x = 7056\\x = 72[/tex]

Answer:

a. x = −2

Step-by-step explanation:

f(x) = g(x)

Substitute the functions in

3x+12 = -9.5x -13

Add 9.5x to each side

3x+9.5x+12 = -9.5x+9.5x -13

12.5x +12 = -13

Subtract 12 from each side

12.5x+12-12 = -13-12

12.5x = -25

Divide by 12.5

12.5x/12.5 = -25/12.5

x = -2

Answer:

a. x = −2

f(x) = g(x)

Substitute the functions in

3x+12 = -9.5x -13

Add 9.5x to each side

3x+9.5x+12 = -9.5x+9.5x -13

12.5x +12 = -13

Subtract 12 from each side

12.5x+12-12 = -13-12

12.5x = -25

Divide by 12.5

12.5x/12.5 = -25/12.5

x = -2

Answer:

Part 2) Option A: 25

Part 3) Option C: 16

Part 4) Option D: 20

Part 5) pentagon

Step-by-step explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

so

[tex]V- E+ F=2[/tex]

Part 2) we have

vertices: 11

Edges: 34

Faces: ?

substitute the values in the formula and solve for F

[tex]11- 34+ F=2[/tex]

[tex]-23+ F=2[/tex]

Adds 23 both sides

[tex]F=2+23[/tex]

[tex]F=25[/tex]

Part 3) we have

Edges: 36

Faces: 22

Vertices: ?

substitute the values in the formula and solve for V

[tex]V- 36+ 22=2[/tex]

[tex]V- 14=2[/tex]

Adds 14 both sides

[tex]V=2+14[/tex]

[tex]V=16[/tex]

Part 4) we have

Faces: 12

Vertices: 10

Edges: ?

substitute the values in the formula and solve for E

[tex]10- E+ 12=2[/tex]

[tex]- E+ 22=2[/tex]

Subtract 22 both sides

[tex]- E=2-22[/tex]

[tex]- E=-20[/tex]

Multiply by -1 both sides

[tex]E=20[/tex]

Part 5) we know that

The cross section of the figure is a plane figure with five straight sides and five angles

therefore

The figure is a pentagon

It's B.

If [tex]0<x<1[/tex], then it's also the case that [tex]0<x^2<1[/tex], because multiplying any number [tex]x[/tex] by a number (in this case, also [tex]x[/tex]) between 0 and 1 scales that number down.

It's not C, because [tex]2^2=4\neq3[/tex].

It's not D, because [tex]3^2=9\neq3[/tex].

Answer:

Point B

Step-by-step explanation:

The square root of 1 is one, so it must be larger than 1.

The square root of 2 is 4 so it must be smaller than 2.

B would make the most sense

Answer:

C, [tex]5e^{i(5\pi/3)[/tex]

Step-by-step explanation:

Euler's formula:

[tex]e^{ix}=\cos{x}+i\sin{x}[/tex]

Looking at the expression in the parentheses, your x is explicitly given to you as [tex]5\pi/3[/tex], so using Euler's formula:

[tex]5\left(\cos\frac{5\pi}{3}+i\sin{\frac{5\pi}{3} })=5e^{i(5\pi/3)[/tex]

Which is C.

Answer:

-5x^5 -5x^4 +6x^3 -x^2 -7x +20

Step-by-step explanation:

(2x^5+x^3−3x^4−x+8)−(7x^5+2x^4−12+6x−5x^3+x^2)

Distribute the minus sign

(2x^5+x^3−3x^4−x+8)−7x^5-2x^4+12-6x+5x^3-x^2

Put them in order from largest exponent to smallest exponent

2x^5−7x^5−3x^4-2x^4+5x^3+x^3-x^2-6x−x+8+12

Combine like terms

-5x^5 -5x^4 +6x^3 -x^2 -7x +20

Standard form is from largest exponent to smallest exponent

ANSWER

[tex]x = 5 \: or \: x = - 5[/tex]

EXPLANATION

The given absolute value equation is

[tex] | - 5x| - 5 = 20[/tex]

We add 5 to both sides of the equation to get:

[tex] | - 5x| - 5 + 5 = 20 + 5[/tex]

[tex] | - 5x| = 25[/tex]

This implies that,

[tex] - 5x = - 25 \: or \: - 5x = 25[/tex]

Divide both sides by -5,

[tex]x = 5 \: or \: x = - 5[/tex]

Answer: 5 milimeters.

Step-by-step explanation:

The formula for calculate the volume of a rectangular prism is:

[tex]V=lwh[/tex]

Where "V"  is the volume, "l" is the lenght, "w" is the width and "h" is the height.

You know that the volume, the lenght, and the width of this rectangular prism are:

[tex]V=750mm^3\\l=15mm\\w=10mm[/tex]

Substitutute these values into the formula and solve for the the height "h":

[tex]750mm^3=(15mm)(10mm)h\\\\h=\frac{750mm}{(15mm)(10mm)}\\\\h=5mm[/tex]

Final answer:

To find the height of a rectangular prism, you can use the formula V = l x w x h and calculate the missing dimension. In this case, the height of the rectangular prism is 5 millimeters.

Explanation:

A rectangular prism, also known as a rectangular solid or box, is a three-dimensional shape that has six rectangular faces. The formula to find the volume of a rectangular prism is V = l x w x h, where l is the length, w is the width, and h is the height. In this case, the given length is 15 mm, the width is 10 mm, and the volume is 750 cubic mm. To find the height, plug these values into the formula as follows:

750 = 15 x 10 x h

h = 750 / (15 x 10) = 750 / 150 = 5 mm

Therefore, the height of the rectangular prism is 5 millimeters.

Amount spent on vacation=$7920,

Let Mike monthly salary be x,

11% of X= $7920,

[tex] \frac{11}{100} \times x = 7920[/tex]

[tex]11x = 7920 \times 100[/tex]

[tex]x = 792000 \div 11[/tex]

[tex]x = 72000[/tex]

Answer: 720

Step-by-step explanation: divide 7920 into 11 and you will get your answer.

Answer:

4 pounds

Step-by-step explanation:

"About" means that you are rounding. Most of the time, when you are rounding food, you generally round to the next whole number. In this case, it is 3.75, so you round to 4.

Jolie bought ~4 pounds of turkey.

The reason you round up, is because you can have less than amount, but generally not more. Also, food's weight can change depending on temperature, heat, how it is at the moment (cooked, non-cooked, mashed, processed, unprocessed, etc.).

~

Answer:

[tex] \sqrt{20} + \sqrt{45} - \sqrt{32} = [/tex]

[tex] \sqrt{4} \sqrt{5} + \sqrt{9} \sqrt{5} - \sqrt{16} \sqrt{2} = [/tex]

[tex]2 \sqrt{5} + 3 \sqrt{5} - 4 \sqrt{2} = [/tex]

[tex]5 \sqrt{5} - 4 \sqrt{2} [/tex]

2√5 + 3√5 - 4√2 = 5√5 - 4√2. To simplify the expression with square roots, evaluate each square root separately and then combine the results.

To simplify the expression, simplify each square root individually:

Then substitute these values back into the original expression: 2√5 + 3√5 - 4√2 = 5√5 - 4√2.

The second one is the answer

Answer:

Option B (-0.29)

Step-by-step explanation:

Given are x,y values as

(2,47), (3,2), (5,26)

x y xy x^2 y^2

2 47 94 4 2209

3 2 6 9 4

5 26 130 25 676

Total 10 75 230 38 2889

Cov -6.666666667    

r -0.2907    

Thus we find correlation coefficient is -0.29

Option B is right

Answer:c 4

Step-by-step explanation:because ti is in the middle

Answer:

1+1+2+3+3+3+4+4+4+4+4+5+5+5+5+6+6+6+7+7/20 is 78.35

Step-by-step explanation:

For this case we have that by properties of logarithm that:

[tex]log_ {b} (a) = c[/tex] is equivalent to the following expression:

[tex]b ^ c = a[/tex]

We have the following expression:

[tex]log_ {7} () = - 3[/tex]

Then, according to the property we have:

[tex]7 ^ {- 3} =[/tex]

ANswer:

[tex]7 ^ {- 3} =[/tex]

Option A

Answer:

I am pretty sure the answer would  be A.

Answer:

its not....

Step-by-step explanation:

-6=4+10

not true

2(4)+(-6)=-2

8-6=-2

Also not true

Answer:

The camper will use all 6 storage compartments, with 2 sleeping bags in the one that is not completely filled.

Step-by-step explanation:

If 6 storage compartments can each hold 3 sleeping bags, 18 (6*3) sleeping bags in total will be able to be stored.

We only have 17, which is one bag less than 18, so we can think of it as having one compartment with one bag less than all the others (they have three). Therefore, there are 2 sleeping bags in that storage compartment.

We can also divide 17 by 3 to find how many compartments will be filled. The remainder is the number of bags in the one that is not completely full.

17/3 = 5 r2

But because the camper still needs to put those two sleeping bags in a compartment, they will use 6.

5 compartments will be completely used, and the 6th compartment will contain 2 sleeping bags.

To determine how many storage compartments will be used for storing 17 sleeping bags, when each compartment can hold 3 sleeping bags, we can divide 17 (the total number of sleeping bags) by 3 (the capacity of each compartment):

Therefore, 5 compartments will be completely used, and the 6th compartment will contain 2 sleeping bags.

[tex]b. \: \frac{8}{27} [/tex]

To find the percent of decrease from the original price of a video game, subtract the new price from the original price, divide by the original price, and multiply by 100.

To find the percent of decrease from the original price, we can use the formula:

Percent decrease = [(change in price)/(original price)] × 100

Substituting the given values:

Percent decrease = [(49.95 - 45.50)/(49.95)] × 100 = 4.45/49.95 × 100 = 8.9%

Therefore, the percent of decrease from the original price is 8.9%

In a parallelogram, opposite angles are congruent.

This means that the four angles of the parallelogram are:

[tex]L = x+40,\quad M = 3x,\quad N = x+40,\quad O = 3x[/tex]

Moreover, the sum of the interior angles of a polygon with n sides is 180(n-2). So, the sum of the interior angles of a parallelogram is 360.

This means

[tex]L+M+N+O = 360 \iff 2(x+40)+2(3x) = 2x+80+6x = 360 \iff 8x = 280 \iff x = 35[/tex]

And since [tex]O=3x[/tex], we have [tex]O=3\cdot 35=105[/tex]

Answer:

Angle O(3x) is =105 degrees or C