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ratelena [41]
3 years ago
8

Please answer this question I need this urgent Help meeeee

Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:

\frac{s}{2t}

Step-by-step explanation:

When you have exponents above a like term and they are being multiplied together, you add them.

For example:

a^{x} *a^{y} = a^{x + y}

So let's group like terms in the numerator:

4r^{3} r^{-5} s^{-2} s^{-1}t   We can add terms like in the example.

4 r^{-2} s^{-3} t

Let's rearrange the denominator.

8r^{-2} s^{-4} t^{2}

Now we have:

\frac{4r^{-2} s^{-3}t}{8 r^{-2} s^{-4} t^{2} }  Cancel like terms

4/8 = 1/2    

r^{-2} /r^{-2} = 1  So it cancels

s^{-3} / s^{-4} = s^{-1} = s Since s is raised to the -1 it goes on top and becomes s.

t / t^{2}  = 1/t

Now we combine everything back together:

\frac{s}{2t}

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Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94. The average of her last t
Bingel [31]

Answer:  The average of the first two test scores is 97.

Step-by-step explanation:  Given that Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94 and the average of her last three test scores is 92.

We are to find the average score of her first two tests.

Let a1, a2, a3, a4 and a5 be teh scores of Kristle in first , second, third, fourth and fifth tests respectively.

Then, according to the given information, we have

\dfrac{a1+a2+a3+a4+a5}{5}=94\\\\\Rightarrow a1+a2+a3+a4+a5=94\times5\\\\\Rightarrow a1+a2+a3+a4+a5=470~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

and

\dfrac{a3+a4+a5}{3}=92\\\\\Rightarrow a3+a4+a5=92\times3\\\\\Rightarrow a3+a4+a5=276~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Subtracting equation (ii) from equation (i), we get

(a1+a2+a3+a4+a5)-(a3+a4+a5)=470-276\\\\\Rightarrow a1+a2=194\\\\\Rightarrow \dfrac{a1+a2}{2}=\dfrac{194}{2}\\\\\Rightarrow \dfrac{a1+a2}{2}=97.

Thus, the average of the first two test scores is 97.

6 0
3 years ago
Urgent please ans this​
Rama09 [41]

Answer:

x=6

Step-by-step explanation:

Remember, the formula for area is the length times the width. So, if we know the width is 3, and we know the total area is 24, all we need to do is divide 24 by 3 to get 8. 8 is the split up side, the one that is x + 2. To find x, simply subtract 2 from 8. 8 - 2=6.

24/3=8

8-2=6

3 0
3 years ago
What is the area of the shaded triangle inside the square? Round your answer to the nearest square inch.
PilotLPTM [1.2K]
Area of the triangle = 1/2 * base * <span>height 

base = 16 in
</span>height  = 16 in

Area = 1/2 * 16 * 16 = 128 in.
7 0
3 years ago
Read 2 more answers
The figure has ____ lines of symmetry. A. 0 B. 4 C. 6 D. 8
Olenka [21]
A.) <span>Scalene Triangle has no Lines of S</span>ymmetry 
B.) <span>A </span>Square<span> (4 sides) </span><span>has </span>4 Lines of Symmetry
C.) <span>A </span>Regular Hexagon<span> (6 sides) </span>has 6 Lines of Symmetry
D.) <span>A </span>Regular Octagon<span> (8 sides) </span><span>has </span>8 Lines of Symmetry
7 0
3 years ago
The slope of a line passing through H (-2, 5) is -3/4. Which ordered pair represents a point on this line?
oksano4ka [1.4K]
Answer:
(6,-1)

Explanation:
The slope of the line can be calculated using the following formula:
slope = \frac{y2-y1}{x2-x1}

We are given that:
slope = -0.75
point (x1,y1) is (-2,5)

We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.

For point (6,-1):
slope = \frac{-1-5}{6--2} = -0.75 ........> accepted choice

For point (2,8):
slope = \frac{8-5}{2--2} = 0.75 ........> rejected choice

For point (-5,1):
slope = \frac{1-5}{-5--2} = 4/3 ........> rejected choice

For point (1,1):
slope = \frac{1-5}{1--2} = -4/3 ........> rejected choice

Therefore, the first option is the only correct one.

Hope this helps :)
5 0
3 years ago
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