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Sphinxa [80]
3 years ago
5

Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4

Mathematics
1 answer:
crimeas [40]3 years ago
8 0

We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

\left( 4^{-2+(-3)} \right)^{3}

\left( 4^{-5} \right)^{3}

Now we will use exponent property (a^m)^n=a^{m\cdot n}to further simplify our expression.

\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}

\left( 4^{-5} \right)^{3}= 4^{-15}

Therefore, Chris made mistake in step 2.

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Which recursive formula correctly models the values shown in the table?
Vedmedyk [2.9K]

The right answers are

1. C, 1

2. B, an+1 = an x 3, a1 =5

3. C, an = -6 x 0.5^n-1

4. D, an + 2/3 x (1/2)^n-1

5. D, an+1 = an x (-2), a1 = 5

I just took the test and got 100% so these should be correct

4 0
3 years ago
1. A number is chosen at random from 1 to 25. Find the probability of not selecting a prime number.
Gnesinka [82]

Answer:

<u><em>64%</em></u>

Step-by-step explanation:

<em>1. Nine prime numbers between 1 and 25.</em>

<em>2. 25-9 = 16</em>

<em>3. Sixteen non-prime numbers between 1 and 25.</em>

<em>4. 16/25 = 0.64 = 64%</em>

Hope this helps!

5 0
3 years ago
The show the work for these problems
pychu [463]

Answer:

Part A $150.00

Part B $140.00 because you would do 35 x 4 = 140.

Part C, He will have $17 left over. You would take 167 - 140 = 17

Question 5, The would have gathered $150 because you would take 30 x 5 = 150.





6 0
3 years ago
Question is attached, please explain a little:) will mark BRAINLIEST
Alexus [3.1K]

Answer:

D

Step-by-step explanation:

We know it has 2 distinct zeros. This means the discriminant of the quadratic is positive and must have 2 real zeros that can be rational or irrational. We also know the quadratic has rational coefficients which means both are either rational or irrational. They can not be one of either. Since it tells us one is rational, the other must be too.

5 0
3 years ago
Find the value of x in the triangle shown below.​
nika2105 [10]

Answer:

x =  \sqrt{28}

Step-by-step explanation:

Given,

Base of the triangle = 6

Hypotenuse of the triangle = 8

Let the height of the triangle = x

Therefore, According to Pythagoras Theorem,

{8}^{2}  -  {6}^{2}  =  {x}^{2}

=  > 64 - 36 =  {x}^{2}

=  > 28 =  {x}^{2}

=  > x =  \sqrt{28} (ans)

6 0
3 years ago
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