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mixer [17]
2 years ago
10

Can u help me with problem 7 pls and thank you

Mathematics
1 answer:
Natasha2012 [34]2 years ago
8 0
Answer is image hope this helps

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Solve and round to the nearest hundredth please!!!
sasho [114]

Answer:

x = 0.96

Step-by-step explanation:

7 \times 16^{8x - 8} = 3

(2^4)^8(x - 1) = \dfrac{3}{7}

2^{32(x - 1)} = \dfrac{3}{7}

\log 2^{32(x - 1)} = \log \dfrac{3}{7}

32(x - 1)\log 2 = \log 3 - \log 7

(x - 1) = \dfrac{\log 3 - \log 7}{32}

(x - 1) = \dfrac{\log 3 - \log 7}{32\log 2}

x = \dfrac{\log 3 - \log 7}{32\log 2} + 1

x = 0.961800237...

Answer: x = 0.96

4 0
3 years ago
If P(A)=0.4, P(A and B)=0.2,and P(A or B)=0.5, What is P(B)
Vladimir [108]

Answer:

\boxed{\ P(B)=0.3 \ }

Step-by-step explanation:

Hi,

We know that

P(A or B)=P(A)+P(B)-P(A and B)

so P(B)= P(A or B) - P(A) + P(A and B)

so

P(B) = 0.5 - 0.4 + 0.2 = 0.3

thanks

6 0
3 years ago
Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
Mrrafil [7]

Given:

a_1=-4 and a_n=a_{n-1}+9 where n\geq 2.

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

a_n=a_{n-1}+d

Where, d is the common difference.

We have,

a_n=a_{n-1}+9

Here, d=9.

The first term of the AP is a_1=-4.

The explicit formula for an AP is:

a_n=a_1+(n-1)d

Substituting a_1=-4 and d=9, we get

a_n=-4+(n-1)9

a_n=-4+9n-9

a_n=-13+9n

Therefore, the required explicit formula for the given sequence is a_n=-13+9n.

6 0
3 years ago
Expand & simplify -2(2x-3)
Jet001 [13]
The answer is -4x + 6 hope this helps
3 0
3 years ago
Tell how you can use tools to solve a math <br> problem
castortr0y [4]
By measuring and knowing the wait of the ounces and height
5 0
3 years ago
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