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SVEN [57.7K]
4 years ago
7

Please help me with 5-13 please in expanded form please!!

Mathematics
1 answer:
Alla [95]4 years ago
6 0
5. 36 = 2² x 3²
6. 2 to the second power X 3 to the second power X 5
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What is 162% of 400? Rounded to the nearest hundredth.
finlep [7]

Answer:

648

Step-by-step explanation:

Write 162% as  162 /100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

162 /100  of 400 =  162 /100 × 400

Therefore, the answer is 648

If you are using a calculator, simply enter 162÷100×400 which will give you 648 as the answer

8 0
3 years ago
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The rate at which a quantity of a radioactive substance decays is proportional to the quantity of the substance. The constant of
Butoxors [25]

Answer:

\frac{dN}{dt} = λN           N(0) = 6

N(t) = N₀e^(λt)

Applying the inital value condition

N(t) = 6e^(λt)

Step-by-step explanation:

Summarizing  the information briefly and stating the  variables in the problem.

t = time elapsed during the decay

N(t) = the amount of the radioactive substance remaining after time t

λ= The constant of proportionality  is called the decay constant or decay rate

Given the initial conditions

N(0) = N₀ = 6

The rate at which a quantity of a radioactive substance decays (\frac{dN}{dt}) is proportional to the quantity of the substance (N)  and λ is the constant of proportionality  is called the decay constant or decay rate :

\frac{dN}{dt} = λN          

N(t) = N₀e^(λt) ......equ 1

substituting the value of  N₀ = 6 into equation 1

N(t) = 6e^(λt)

3 0
3 years ago
Marcus has $30 but needs a total of $45 to buy a new soccer jersey. What percent of the money has he saved for the purchase?
Dimas [21]

Answer:

30 is 66.67% of 45.

please mark brainliest :)

7 0
3 years ago
If (9x − 4)(9x + 4) = ax² − b, what is the value of a? (5 points)
lions [1.4K]

Given, (9x - 4)(9x + 4) = ax² - b

From algebraic identities:

We know, (a + b)(a - b) = a² - b²

Now, 81x² + 36x - 36x - 16 = ax² - b

81x² - 16 = axis² - b

So ax² = 81x²

a = 81

-b = -16

b = 16

Solution

Therefore, the value of a is 81.

<h2>MyHeritage</h2>
8 0
3 years ago
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Write a linear equation for a line that passes through (0, 0) and m = -2.
nadezda [96]

Answer:

D. y=-2x

Step-by-step explanation:

A linear equation is y=mx+b. M is given as -2. Because the line passes through (0,0), it crosses the y axis at 0.

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3 years ago
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