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lesya692 [45]
3 years ago
14

I need help with this duhhh

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

Step-by-step explanation:

4. (6^10)^-7 is when the exponents should be multiplied

   answer is B

5. (7^3)^-2 = (7^-6)

     1/7^6 = 1/(7x7x7x7x7x7)

answer is A

2. 11^-4/11^8= 1/11^(8+4) = 1/11^12

   answer is A

3. (2^5/3^2)^4= 2^20/3^8

   answer is A

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Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. Ralph's
Marizza181 [45]

The correct answer is 18.

5 0
3 years ago
Find the equation of the line that passes through points a and b
Blizzard [7]

Answer:

y - 7 = 2(x - 1)

Step-by-step explanation:

Going from (-3, -1) to (1, 7), x increases by 4 and y by 8.  These numbers are the 'run' and 'rise' of the line, respectively.  Thus, the slope of the red line is m = rise/run = m = 8/4 = 2.

Using the point-slope formula and the point (1, 7), we get:

y - 7 = 2(x - 1)

6 0
2 years ago
A line tangent to the curve f(x)=1/(2^2x) at the point (a, f(a)) has a slope of -1. What is the x-intercept of this tangent?
kirza4 [7]

Answer:

x-intercept = 0.956

Step-by-step explanation:

You have the function f(x) given by:

f(x)=\frac{1}{2^{2x}}   (1)

Furthermore you have that at the point (a,f(a)) the tangent line to that point has a slope of -1.

You first derivative the function f(x):

\frac{df}{dx}=\frac{d}{dx}[\frac{1}{2^{2x}}]  (2)

To solve this derivative you use the following derivative formula:

\frac{d}{dx}b^u=b^ulnb\frac{du}{dx}

For the derivative in (2) you have that b=2 and u=2x. You use the last expression in (2) and you obtain:

\frac{d}{dx}[2^{-2x}]=2^{-2x}(ln2)(-2)

You equal the last result to the value of the slope of the tangent line, because the derivative of a function is also its slope.

-2(ln2)2^{-2x}=-1

Next, from the last equation you can calculate the value of "a", by doing x=a. Furhtermore, by applying properties of logarithms you obtain:

-2(ln2)2^{-2a}=-1 \\\\2^{2a}=2(ln2)=1.386\\\\log_22^{2a}=log_2(1.386)\\\\2a=\frac{log(1.386)}{log(2)}\\\\a=0.235

With this value you calculate f(a):

f(a)=\frac{1}{2^{2(0.235)}}=0.721

Next, you use the general equation of line:

y-y_o=m(x-x_o)

for xo = a = 0.235 and yo = f(a) = 0.721:

y-0.721=(-1)(x-0.235)\\\\y=-x+0.956

The last is the equation of the tangent line at the point (a,f(a)).

Finally, to find the x-intercept you equal the function y to zero and calculate x:

0=-x+0.956\\\\x=0.956

hence, the x-intercept of the tangent line is 0.956

5 0
3 years ago
What is the answer to 54,000×10
mr Goodwill [35]

the answer to 54,000 x 10 is 540,000
8 0
3 years ago
there are 2 1\2 bus loads of students standing in a parking lot. The students are getting ready to go on a field trip. 2\5 of th
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It would take only one full bus to carry only girls.
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3 years ago
Read 2 more answers
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