All categories

4 years ago

If 32 Superscript 2 c Baseline = 8 Superscript c + 7, what is the value of c? 1 2 3 5

Mathematics

1 answer:

eimsori [14]4 years ago

8 0

Answer:

Option 3 - The value of c is 3.

Step-by-step explanation:

Given : If 32 Superscript 2 c Baseline = 8 Superscript c + 7.

To find : What is the value of c?

Solution :

Superscript denotes the power.

32 Superscript 2 c i.e. $32^{2c}$

8 Superscript c + 7 i.e. $8^{c+7}$

The equation form is $32^{2c}=8^{c+7}$ .

Write the expression as,

$(2^5)^{2c}=(2^3)^{c+7}$

$(2)^{10c}=(2)^{3c+21}$

Comparing the base,

$10c=3c+21$

$10c-3c=21$

$7c=21$

$c=\frac{21}{7}$

$c=3$

Therefore, the value of c is 3.

So option 3 is correct.

You might be interested in

What is the x-intercept of the line with the equation 8x-1/3y=16

Maslowich

One thing is you need to get x on one side and y on the other :)
8x-1/3y=16
Just like any equation you subtract 8x
8x-1/3y=16
-8x -8x
-1/3y=16-8x
Now you want y all alone. So you divide. To me I think you divide by -3. But you might want to check and divided by
by -1/3 (just in case)
-1/3y=16-8x
 -3
y=-5.33(3 is repeating) - 2.6666667x

I really do this help you out! :D

6 0

4 years ago

A person is standing on top of a six foot platform, looking down into a mirror. The person can see the top of the flagpole in th

Murljashka [212]

<h3>Answer: The flagpole is 16 feet tall</h3>

==========================================================

Explanation:

The small markings for the angles in the diagram help us see how the angles pair up and how those pairs are congruent.

The square angle markers indicate we have 90 degree angles (aka right angles). That's one pair of congruent angles.

The other pair are the angles marked with small curves. We don't need to worry about the angle measure of these. All we care about is we have a second congruent pair of angles.

Having 2 sets of congruent angles allows us to use the AA (angle angle) similarity theorem.

The similar triangles allow us to set up the proportion below and isolate x.

-------------------

Let's solve for x.

6/x = 4.5/12

6*12 = x*4.5

72 = 4.5x

4.5x = 72

x = 72/(4.5)

x = 16

The flagpole is 16 feet tall.

This is somewhere between a 1 and 2 story building in terms of height.

8 0

3 years ago

Factor the expression. 4x + 8 The factored expression is

natita [175]

Answer:

4(x + 2)

Step-by-step explanation:

Factor out common factors from each term. Note the factors for each number

4: 1, 2, 4

8: 1, 2, 4, 8

The largest factor for each is 4, and so divide 4 from both terms.

(4x + 8)/4 = (x + 2)

4(x + 2) is your factored expression.

6 0

3 years ago

Read 2 more answers

What is nearest whole number to 63.62

kvv77 [185]

Answer:

Step-by-step explanation:

Looking at the number 63.62, you see that 6 comes immediately after the decimal point.

Now if the number after the decimal point is more than 5 we round up by adding one to the number just before the decimal point which is 3 in this case.

Assuming the number after the decimal point was less than 5 we would round down adding nothing to the number just before the decimal point.

8 0

4 years ago

Find the 60th term of the following sequence. 2, 4, 6...

Helen [10]

Answer:

Answer is 120

Step-by-step explanation:

$here \: all \: the \: terms \: goes \: in \: the \: multiple \: \\ of \: 2 \\ therefore \: {n}^{th} \: term \: is \: 2n \\ when \: n = 1 \: we \: get \: 2 \times 1 = 2 \\ to \: find \: {60}^{th} \: term \: on \: substituting \: n = 60 \: in \: 2n \\ 2 \times 60 = 120 \\ hence \: {60}^{ th} \: term \: is \: 120$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

5 0

3 years ago