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The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

[tex]2^{8p}=2^{5p+15}[/tex]

Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The given equation in the problem is,

[tex]16^{2p}=32^{p+3}[/tex]

Write both the equation in the form of same base number as,

[tex](2^4)^{2p}=(2^5)^{p+3}[/tex]

The power of the power of a number can be written as product of both the numbers. Thus,

[tex](2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}[/tex]

This is the required equation.

Now if the base is the same at both side of the expression, then the powers can be compared. Thus,

[tex]8p=5p+15[/tex]

Solve it further to find the value of p as,

[tex]8p-5p=15\\3p=15\\p=5[/tex]

Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

[tex]2^{8p}=2^{5p+15}[/tex]

Learn more about the equivalent expression here;

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Answer:

C

Step-by-step explanation:

good luck

Answer:

Step-by-step explanation:

[tex]Cos \ 76 =\dfrac{adjacent \ side}{hypotenuse}\\\\0.2419=\dfrac{x}{28}\\\\\\0.2419*28=x\\\\\\x=6.7732[/tex]

x =6.8 ft

Answer:Computer Store sells DVDs for a day =    110

No. of days the store works                 =    266

No. of DVDs saled in 266 days          =    266 days  x   110DVDs

                                                             =    29,260 DVDs

Step-by-step explanation:

keeping in mind that tangent lines to the same circle when intersecting each other outside the circle are the same length, Check the picture below.

Answer:

negative 10 less than x

-10 < x

Answer:

I dont understand what the question is but

diego used 3.6 meters for the presents

and was able to make 14 wreaths

Step-by-step explanation:

9  x .4 = 3.6  

12-3.6=8.4

8.4/.6=14

Answer:

x = 30

Step-by-step explanation:

5x and 3x + 60 are co-exterior angles. To make A and B parallel, they should congruent (equal}

5x = 3x + 60

5x - 3x = 60

2x = 60

  x = 60/2

 x = 30

Checking:

5x = 5*30 = 150

3x + 60 = 3*30 + 60 = 90 + 60 = 150

Answer:

x<1.5.

Step-by-step explanation:

hope this helped <3

The graph of function f (x) = 2ˣ - 3 is shown in figure.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = 2ˣ - 3

Now, We get;

At x = 1;

⇒ f (x) = 2ˣ - 3

⇒ f (1) = 2 - 3 = - 1

At x = 2;

⇒ f (x) = 2ˣ - 3

⇒ f (2) = 2² - 3 = 1

Hence, The graph is passing through (1, - 1) and (2, 1).

Thus, The graph of function f (x) = 2ˣ - 3 is shown in figure.

Learn more about the function visit:

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Answer:

it is A and D

Step-by-step explanation:

A. 2 * 10x is equal to 20x

and then 2 * 5 is equal to 10

so the answer is 20x-10

D. 10 *2x is equal to 20x

and then 10 * -1 is equal to -10

so the answer is 20x-10

Answer:

Step-by-step explanation: you need to dived by3000

Answer:

2/5 (or 0.4)

Step-by-step explanation:

There was 50 flips, that's the total. #/50

Head was 20 times, that's the answer we're looking for. 20/50

20/50 Simplified is 2/5 (or 0.4)

Answer:

$ 3937.5

Step-by-step explanation:

First, we convert 1.25% into a decimal.

That would be .0125.

Now we multiply the decimal with the whole number to find our answer.

315000 × .0125 = 3937.5

Therefore, 3937.5 would be the amount of her commission.

-kiniwih426

The other quantity needed to calculate the average speed is time.

Average speed is the total distance travelled per time. It is how fast an object moves with respect to time.

Average speed = total distance / total time

For example, if the distance travelled is 100km and the total time is 10 hours, average speed is 10 km/hr (100 / 10).

To learn more about average speed, please check: https://brainly.com/question/21734785

Answer:

What are you asking of us? To work out the value of X and Y?

Answer:

Volume: 512cm

Surface Area: 384 cm

Step-by-step explanation:

Volume formula: V= length x width x height

Surface Area formula: A= 6a^2 ; a = edge

Answer:

x=7

Step-by-step explanation:

we have,

7x-7=4x+14         use the transposing method

7x-4x=14+7

3x=21

x=21/3

x=7

can you mark me brainliest please

Answer:

1 inch = 7.5 feet.

Step-by-step explanation:

24 divided by 24 equals 1. 180 divided by 24 equals 7.5

Answer:

Step-by-step explanation:

4 plus 8 is 12 plus 5 is 17. then add the months 5 plus 6 is 11 plus 8 is 19, 19 is one year and 7 months so the answer is 18 years old and 7 months.

Answer: 18 years and 7 months

Step-by-step explanation:5+8+4= 17 and 8+6+5= 19

17 years and 19 months aka 18 and 7 months

Answer:

1/14

Step-by-step explanation:

1/7 x 1/2 there are two parts to the rectangle and one is colored so its one half.

1/7x1/2 is multiply the tops and bottoms so you get1x1 over7x2 which equals 1/14

Answer:

w=2

Step-by-step explanation:

[tex]6w= 18-3w[/tex]

[tex]6w+3w=18-3w+3w[/tex] (Add 3w to both sides)

[tex]9w=18[/tex]

[tex]\frac{9w}{9}=\frac{18}{9}[/tex] (Divide both sides by 9)

[tex]w=2[/tex]

Hope this helps!

Hey there!

6w = 18 - 3w

18 - 3w = 6w
-3w + 18 = 6w

SUBTRACT 6w to BOTH SIDES

-3w + 18 - 6w = 6w - 6w

SIMPLIFY IT!

-9w + 18 = 0

SUBTRACT 18 to BOTH SIDES

-9w + 18 - 18 = 0 - 18

CANCEL out: 18 - 18 because it gives you 1

KEEP: 0 - 18 because it help solve for the w-value

NEW EQUATION: -9w = 0 - 18

SIMPLIFY IT!

-9w = -18

DIVIDE -9 to BOTH SIDES

-9w/-9 = -18/-9

CANCEL out: -9/-9 because it gives you 1

KEEP: -18/-9 because it give you the x-value

NEW EQUATION: x = -18/-9

SIMPLIFY IT!

x = 2

Therefore, your answer is: x = 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

42

Step-by-step explanation:

fir a 100% is missing 40

divide 28 by 4 and then multiply by 6

Answer:

42 students

40%

72 (end of number line)

Explanation:

How to find the percentage for the 28 students:

100% - 60% = 40%

Knowing that, we now know 28 = 40%. We need to figure out what 10% is equal so we can figure out what 60% is equal.

How to find 10%:

28 ÷ 4 = 7

10% = 7 students

How to find 60% of students:

10 · 6 = 60

7 · 6 = 42

With that information, we can find out the final sum.

40% + 60% = 100%

28 + 42 = 72.

I assume "first phase" refers to the first 6.00 seconds of the dash.

Since the sprinter starts from rest and accelerates uniformly, he covers a distance x after time t of

x = 1/2 at²

where a is his acceleration.

The sprinter's velocity v after time t is

v = at

so that if he attains a speed of 14.7 m/s after 6.00 s, he does so with acceleration a such that

14.7 m/s = a (6.00 s)   ⇒   a = 2.45 m/s²

Then in the first 6.00 seconds, the sprinter travels

x = 1/2 (2.45 m/s²) (6.00 s)² = 44.1 m

Premium rates are usually for  premium per fixed face value. Jade's annual premium for a 10 year policy is given by Option b: $1,202

If its given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate annual premium for $x.

Using proportions, we get:

[tex]\rm \$y \: face \: value : \$p \: annual \: premiun\\\\\rm \$1 \: face \: value : \$\dfrac{p}{y} \: annual \: premiun\\\\\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premiun\\[/tex]

For given case, from the tables, we see that for age 34, and 10 year life insurance for female gender , there is annual premium of 6.01 per $1000 face value.
Thus, we have p = 6.01, y = 1000

Since Jade wants to buy Life insurance for $200,000, thus, x = $200,000

Putting it in the above derived formula, we get:

[tex]\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premium\\\\\rm \$200000\:face\: value : \$\dfrac{6.01 \times 200000}{1000} \: annual \: premium\\ = \$1202 \: annual \: premiun[/tex]

Thus, Jade's annual premium for a 10 year policy is given by Option b: $1,202

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Answer:

28+7y

Step-by-step explanation:

7(4+y) = (7 · 4) + (7 · y)

= 28 + 7y

Answer:

$427,500 dollars

Step-by-step explanation:

Given the following question:
Initial price = 450,000
5% discount

In order to find the answer, we simply find 5% of 450,000.

[tex]\frac{5\times450000}{100} =5\times450000=2250000\div100=22500[/tex]
[tex]450000-22500=427500[/tex]
[tex]r=427500[/tex]

The radio (after a 5% discount) costs "$427,500 dollars."

Hope this helps.

Total balls will be 14, dodge balls will be 20 and the number of other balls will be 36.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In another word, the equation is a set of variables that have been constructed.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total ball will be the sum of dodge ball + other ball so it will be

5 + 9 = 14

The number of pumped up for a single ball

56/14 = 4

So the number of Tlaloc pumps of dodge ball will be  5 × 4 = 20.

Number of Tlaloc pump of other ball = 9 × 4 = 36.

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