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Sunny_sXe [5.5K]
4 years ago
6

Can anyone help me solve this

Mathematics
1 answer:
kumpel [21]4 years ago
4 0

Answer:

The answer to your question is a = 40, b = 5/8

Step-by-step explanation:

Data

  ab = 25

  log₄a - log₄b = 3

Process

1.- Use the law log of a quotient

               log₄ a/b = 3

2.- Convert the log to an exponent

                   a/b = 4³

                   a/b = 64      Equation l

                    ab = 25       Equation ll

3.- Solve equation l for a

                  a = 64b

4.- Substitute in equation ll

                   (64b)b = 25

-Simplify

                    64b² = 25

-Solve for b

                         b² = 25/64

                         b = 5/8

5.- Substitute the value of b to find a

                     a = 64(5/8)

-Simplification

                     a = 40                        

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kati45 [8]

Answer:

Given:

perpendicular [p]=9cm

base[b]=15cm

length[l]=4cm

we have

the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l

=½×9×15×4=270cm³

270cm³ is a required volume.

4 0
3 years ago
Read 2 more answers
The half-life of uranium-238 is 4.5x10^9 years. The half-life of uranium-234 is 2.5x10^5 years. How many times greater is the ha
lara31 [8.8K]

<u>Answer:</u>

Half-life of uranium-238 18 \times 10^{3} \text { times greater } that of uranium-234

<u>Explanation:</u>

Half time of uranium-238 = 4.5\times 10^9  years

Half time of Uranium-234 = 2.5\times 10^5 years

To find how much times greater the half life of uranium-238 is from uranium-234

= \frac{\text { Half life of Uranium-238 }}{\text { Half time of Uranium - 234 }}

=\frac{4.5 \times 10^{9}}{2.5 \times 10^{5}}

=18 \times 10^{3} \text { times greater }

Hence Uranium-238 is  18 \times 10^{3} \text { times greater } than Uranium-234

4 0
4 years ago
Evaluate 2n-1, where N -7
IceJOKER [234]

The value of the expression 2n - 1 when n = 7 is 13.

<h3>Equation</h3>

2n - 1

when n = 7

  • Substitute n = 7 into the equation

2n - 1

= 2(7) - 1

= 14 - 1

= 13

<h3>What is mathematical expression?</h3><h3 />

Mathematical expression is an expression which involves the combination of numbers and variables in a valid way, in a function of addition, subtraction, multiplication, division and exponentiation

Therefore, the value of the expression 2n - 1 when n = 7 is 13.

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3 0
2 years ago
Please help me thank u bye
Anastaziya [24]
0.31 is greater than 0.24
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5 0
3 years ago
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What is 10+8x3-2+2 ("SHOW THE WORK")
SpyIntel [72]

Answer:

34 explanation is below

Step-by-step explanation:

Start off with PEMDAS

P-Parentheses

E-Exponents

M- Multiplication

D-Division

A- Addition

S- Subtraction

In order of witch comes first

so 8x3=24

10+24=34

34-2+2=34

5 0
3 years ago
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