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Crazy boy [7]
3 years ago
6

Can someone simplify 9^-2.5?

Mathematics
1 answer:
tresset_1 [31]3 years ago
3 0

Answer: 1/243

Step-by-step explanation: To simplify the problem shown, our first step is to convert the decimal in the exponent, -2.5, to a fraction.

-2.5 is the same thing as -2 and 1/2 so we have 9^-2 and 1/2 and -2 and 1/2 is the same thing as -5/2 so we have 9^-5/2.

The rest of my work is attached in the image provided.

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Oksi-84 [34.3K]
I believe the answer is 1.343 x 10^5
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3) "The difference between twice a number and 17 is no more than 13."*
stellarik [79]

Answer:

c<15

Step-by-step explanation:

2x+17 < 13

7 0
3 years ago
Simplify the expression (8x^3y^2/4a^2b^4)^-2
icang [17]
Simplify the following:
((8 x^3 y^2 a^2 b^4)/4)^(-2)
8/4 = (4×2)/4 = 2:
(2 x^3 y^2 a^2 b^4)^(-2)
Multiply each exponent in 2 x^3 y^2 a^2 b^4 by -2:
(x^(-2×3) y^(-2×2) a^(-2×2) b^(-2×4))/(2^2)
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(a^(-4) b^(-2×4))/(2^2 x^6 y^4)
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b^(-8)/(2^2 x^6 y^4 a^4)
2^2 = 4:
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3 0
3 years ago
The difference between two numbers is 4. Three times the larger is 2 more than five times the smaller. Find the numbers.
Vitek1552 [10]

Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given 
Now we can just substitute; let x=4+y 
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3(4+y)=5y-2
12+3y=5y-2
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y=7
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x, the larger number, is 11 
8 0
3 years ago
Read 2 more answers
Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min
Juli2301 [7.4K]

Answer:

-6 meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes)     Altitude (meters)

6                                   -20.4

9                                   -27.6

12                                   -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 represents difference of two y-coordinates,

x_2-x_1 represents difference of two corresponding x-coordinates of y-coordinates.

Let (6,-20.4) be (x_1,y_1) and (9,-27.6) be (x_2,y_2).

m=\frac{-27.6-(-20.4)}{9-6}

m=\frac{-27.6+20.4}{3}

m=\frac{-7.2}{3}

m=-2.4

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

y=mx+b, where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting m=-2.4 and coordinates of point (6,-20.4), we will get:

-20.4=-2.4(6)+b

-20.4=-14.4+b

-20.4+14.4=-14.4+14.4+b

-6=b

Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is -6 meters.

6 0
3 years ago
Read 2 more answers
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