Patrick deposits $500 in a savings account, and he makes no deposits. How much money does Patrick have the savings account after 5 years?

Answer:

The average speed between the times given is 12 m/s

Step-by-step explanation:

Here, we want to calculate rate of change between the times given

Mathematically , we can get the average rate of change using the formula

f(b)-f(a)/b-a

in this case, b = 10 s and a = 5 s

f(b) is d(10) = 0.8(10)^2 = 80

f(a) is d(5) = 0.8(5)^2 = 20

Rate of change is thus;

(80-20)/(10-5) = 60/5 = 12 m/s

The exact value of the cotangent of theta in simplest radical form is -21/20.

What is the simplest radical form?

The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.

To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.

Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:

[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]

Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:

cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)

sin(theta) = opposite/hypotenuse = -20/sqrt(1241)

Now we can find the value of cotangent of theta:

cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))

= -21/20

Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.

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Answer:

the answer is A just tool the quiz lesson 5 hyperbolas Algebra 2B unit 5 these are the correct answers

1.A

2.B

3.D

4.A

5.B

6.D

7.A

hopes this helps everyone

The hyperbola has two vertices at (-2,0) and (2,0)

We have given that the equation

[tex]\frac{x^2}{4}-\frac{y^2}{9}=1[/tex]

[tex]\frac{x^{2} }{a^2}+\frac{y^2}{b^2} =1[/tex]

Compare the above equation of the hyperbola with given equation

therefore a=2

vertices are (-a,0) and (a,0)

Therefore the vertices are (-2,0) and (2,0)

See the graph of the hyperbola in link given below.

The hyperbola has two vertices at (-2,0) and (2,0)

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Answer:

not a right triangle

Step-by-step explanation:

right triangles are those that prove out to be true when you square the two smaller sides and the sum is equal to the square of the longest side

true or false?

10² + 12² = 14²

100 + 144 = 196

False, ∴ not a right triangle

f (15) = $142.50

i hope this help you!

We know that:

Harrison gets $9.50 per hour of work.

He can work a maximum of 15 hours per week.

He needs to earn a minimum of $28.50 per week.

A) We want a function f(h) that tells how much he wins in a week if he works h hours.

So we know that he gets $9.50 per hour of work, then if he works h hours, he gets h times $9.50, then we can just write:

f(h) = $9.50×h

B) First remember that the domain is the set of possible values of h, and the range is the set of possible values of f(h).

We know that the maximum value of h is 15, to find the minimum value of h we need to use the other restriction, that he needs to win at least $28.50, then we need to solve:

$9.50×h = $28.50

h = ($28.50)/($9.50) = 3

Then we can conclude that the domain is:

D = [3, 15]

To find the range, we just need to evaluate the function in the minimum and maximum values of the domain:

f(3) = $28.50

f(15) = $142.50

Then the range is:

R = [$28.50, $142.50]

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Answer: B) 5

Step-by-step explanation: Plato

Answer:

5

Step-by-step explanation:

Answer:

3 points

Step-by-step explanation:

3 is very different from the other numbers, so it is an outlier.

Answer:

3 points (Clearly because if you put it on a number line, this one would be far away from the other numbers)

Answer:

1. y=1/4x+3

2. y=2x

3. y=-1/4x+9/2

4. I cannot solve 4 because there is not two point to solve fir slope intercept form

Answer:

your two points would be 30 minutes and 15 miles then 60 minutes and 18 miles

Answer:

225%

Step-by-step explanation:

Answer:

d its d :)

Step-by-step explanation:

i already did that

Answer:

m<a=56

m<b=34

m<c=56

Step-by-step explanation:

The rectangle is cut into two triangles. The total of a triangles angles is 180 degrees. The triangles are right triangles which means that the right angle is 90 degrees.

You already have an angle that measures 34 degrees.

Alternate interior angles are congruent. So, the given angle is equal to m<b.

Now add 90+34=124

To get the alternate interior angles (m<a and m<c) subtract 124 from 180 which equals 56 degrees.

Answer:m

Step-by-step explanation:

Answer:

The first answer is Surface Area and the second answer is Volume.

Step-by-step explanation:

Remember that Surface Area is the sum of ALL surfaces on a 3D shape. Volume is the amount of space of a three dimensional figure, which is measured in cubic units.

My Explanation:

The first one is surface area because the cube is a 3D shape and it is measured by 5in. The second one is volume because it has three dimensions: 15 inches by 12 inches by 3 inches and it is measured in cubic units.

I hope this answers your question! :)

Answer: Surface area, Volume

Step-by-step explanation:

Answer:

samuel runs 200 yards in 32 seconds, while jake runs 15o yards in 30 seconds. samuel has greater speed than jake

Step-by-step explanation:

Answer:

14: slope is 20

15: 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

A, because more debt would build up for your credit card if you added money to a savings account since you would have to wait a whole year to get interest back. And it wouldn't be B because it simply would not be worth it to invest in stocks while in debt. Also, I just took the test and got it right!

Hope it helps you!.......

Answer:

Angle B would be 56 degrees.

Answer:

The volume is multiplied by 8.

Step-by-step explanation:

The volume of a cone with a radius of 3.8 and a height of 7.6 is 114.92. Now let’s double them, the results come out to be 919.39, we divide these by each other and we get roughly 8 when you round. Therefore, your answer is 8.

Answer:

it is a triangles because the other are the name of the triangle.

Step-by-step explanation:

Answer:

x= 7/3

Step-by-step explanation:

y=2x+5

5x-2=2x+5

transfer 2x to the left side and -2 to the right side you get

5x-2x=2+5

as it transfers the sign changes

3x=7

x=7/3

Answer:

y = 1/2x+1

Step-by-step explanation:

Slope = Δy/Δx

The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.

Slope-intercept form: y=mx+b

We take point (0,1) and input into this equation.

1= 1/2×0 +b

1 = b

Answer:

5.625 is the correct answer to convert five whole five over eight from fraction to decimals.

Step-by-step explanation:

=5/8+5

=0.625+5

=5.625#

Answer: B

Step-by-step explanation: i don't really know but it looks correct

Answer:

C) 10 inches

Step-by-step explanation:

I think the simplest way to do this is as follows:

divide 75 by 15 to get how many times you need to multiply 2in by

75/15=5

since 15(5)=75 or the actual size of the airplane,

2(5)=10 which is the size of the model airplane