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coldgirl [10]
3 years ago
12

How would i write the expression as a single power of 10

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

The answer would be 10^2 or 100.

Step-by-step explanation:

If you take 10^3/10^5 x 10^4 and simplify it, you would get 1/10^ x 10^4. Then you reduce the expression to 10^2, or in alternate form, 100.

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Find the given limit lim(x,y)→(a,a)x4−y4x2−y2=lim(x,y)→(a,a) (x^4−y^4)/(x2−y2)= here aa is a constant. (find the limit assuming
Aliun [14]
If x\neq y, then we can write

\dfrac{x^4-y^4}{x^2-y^2}=\dfrac{(x^2-y^2)(x^2+y^2)}{x^2-y^2}=x^2+y^2

and since this is continuous for all x\neq y, the limit as (x,y)\to(a,a) will be

\displaystyle\lim_{(x,y)\to(a,a)}\frac{x^4-y^4}{x^2-y^2}=\lim_{(x,y)\to(a,a)}(x^2+y^2)=2a^2
7 0
4 years ago
Geometry question?
IRINA_888 [86]
J is your andswer. Area is side x side so multiply
8 0
3 years ago
Which of the following is another way to express the difference between -5 and 8? -5 + (-8) 8 - 5 -5 - (-8) -5 + 8
SCORPION-xisa [38]

-5+-8=-13

8-5=3

-5-(-8)=3

-5+8=3

I’m not 100% sure what you are asking but remember that a negative subtracted by a negative makes a positive

Step-by-step explanation:

8 0
3 years ago
Drag each tile to the correct box consider the given functions f,g and h place the tiles in order from least to greatest accordi
Alja [10]

Answer:

Step-by-step explanation:

By definition, the average rate of change of a function f over an interval [a,b] is given by

\dfrac{f(b)-f(a)}{b-a}

compute the quantity

\dfrac{f(3)-f(0)}{3}

for all the three function

Average rate of change of f:

We will simply use the table to check the values for f(3) and f(0):

\dfrac{f(3)-f(0)}{3}=\dfrac{10-1}{3} = 3

Average rate of change of g:

We will use the graph to to check the values for g(3) and g(0):

\dfrac{g(3)-g(0)}{3}=\dfrac{8-1}{3} = \dfrac{7}{3}

Average rate of change of h:

We can plug the values in the equation to get h(3) and h(0):

h(3)=3^2+3-6=9+3-6=6,\quad h(0)=0^2+0-6=-6

And so the average rate of change is

\dfrac{h(3)-h(0)}{3}=\dfrac{6-(-6)}{3} = 4

3 0
4 years ago
Greg receives the following scores on his math tests: {90, 83, 78, 95}. What is the minimum score he needs on the last math test
BARSIC [14]

Answer:

79

Step-by-step explanation:

the total of 90, 83, 78, 95= 346 which averages to 86.5

346+79=425

425/5= 85

4 0
3 years ago
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