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Olin [163]
3 years ago
10

Simplify the expressions below. A. 8-13-(-4) B. 4-(-7)+(-2) C.-7+3-20

Mathematics
1 answer:
babunello [35]3 years ago
8 0

Answer:

a -9

b 9

c -24

Step-by-step explanation:

this are the answers

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How much would $500 invested at 9% interest compounded annually be worth after 4 years? Round your answer to the nearest cent. 
frosja888 [35]
A = P(1+(r/n))^nt
A = 500(1+(.09/1))^1<span>∗4
A = 500(1.09)^4
A = 705.79</span>
6 0
3 years ago
Read 2 more answers
Given:• PQRS is a rectangle.• mZ1 = 50°Р21SRWhat is mZ2?130°85°70°65°
Over [174]

To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"

Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.

Now, we have to recall that:

- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles

- also the sum of all the angles in any triangle is 180 degrees

Now, considering the isosceles triangle OQR, we have that:

\angle OQR+\angle ORQ+\angle ROQ=180^o

Now, since the figure already shows that angle m\angle2+\angle ORQ+50^o=180^oNow, since we have established that the base angles m\angle2+m\angle2+50^o=180^owe can now solve the above equation for m<2 as follows:

\begin{gathered} m\angle2+m\angle2+50^o=180^o \\ \Rightarrow2m\angle2+50^o=180^o \\ \Rightarrow2m\angle2=180^o-50^o \\ \Rightarrow2m\angle2=130^o \\ \Rightarrow m\angle2=\frac{130^o}{2}=65^o \end{gathered}

Therefore, the correct answer is: option D

7 0
1 year ago
Horsepower and watts are units of measure of
Leni [432]

The 2 horsepower is equal to 1492 watts.

Given that horsepower and watts are units of measure of power and they are directly proportional such that 5 horsepower is equal to 3730 watts.

Horsepower is a unit of measurement of power, or speed at which work is done, usually related to the power of an engine or motor. power is calculated by multiplying force (in pounds) by  speed (in feet per second).

Let H= horsepower, W=watt

As we are given horsepower is directly proportional.

So, the relation is W=kH where k is constant.

Here, H=5 and W=3730.

By substituting the value of W and H we will find the value of k,  we get

3730=k×5

3730/5=k

746=k

Now, substituting the value of k in relation and we get

W=746H

We have to find the power of 2 horsepower.

So, we will substitute H=2 in above relation, we get

W=746×2

W=1492 watts.

Hence, the 2 horsepower is equal to 1492 watts when 5 horsepower is equal to 3730 watts.

Learn more about horsepower from here brainly.com/question/1335872

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7 0
2 years ago
In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?
Butoxors [25]

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

4 0
3 years ago
Factor completely <br> x^2+11x+24
Juliette [100K]

Answer:

(x+8)(x+3)

Step-by-step explanation:

x^2+11x+24\\\\=(x+s_1)(x+s_2)\\\\and\:we\:have\:that\\\\s_1+s_2=11\\\\s_1s_2=24\\\\so\:by\:guessing\:we\:can\:say:\\\\s_1=8\\\\s_2=3\\\\=(x+8)(x+3)

8 0
3 years ago
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