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2 years ago

4 to the power of 5 × 3 to the power of 2

Mathematics

1 answer:

Rama09 [41]2 years ago

8 0

Answer:

Step-by-step explanation:

Break down the equation first.1) 5(3)= 15

2)15 to the power of 2=225,because you have to multiply 15 by itself 2 times.

3)225 to the power of 4=2,562,890,625

Answer= 2,562,890,625

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What are two things you will need to write an equation for a line?

vlabodo [156]

Answer:

Slope and y intercept.

Step-by-step explanation:

This is necassary to write the equation of a line in y=mx+b

m is where the slope goes, and b is the y intercept.

Alternatively, you could also write the equation for a line with a point on the line and the slope.

You would then write it in point slope formula:

y-y1=m(x-x1)

This can later be converted into slope intercept form.

3 0

3 years ago

A circle with radius of 5 cm sits inside a 11 cm * 11 cm rectangle.

Nadusha1986 [10]

Answer:

42.43 $cm^{2}$

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

$Area\ of\ cirle=\pi r^{2}$

$=\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571\ cm^{2}\\$

As here length an width both are 11 cm, we can say that this is a square.

$Area\ of\ square=(Side)^{2}$

$=11\times11=121\ cm^{2}$

Now, area of shaded region = Area of square - Area of circle

= 121 - 78.571 = 42.429 $cm^{2}$

Therefore, the area of the shaded region will be 42.43 $cm^{2}$

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5 0

2 years ago

On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte

egoroff_w [7]

A. Constant of proportionality in this proportional relationship is; k=5

B. Equation to represent this proportional relationship is : c=t/k

Step-by-step explanation:

A.Given that : the amount she pays each month for international text messages is proportional to the number of international texts she sends, then

$3.20 k = 16 ---------where k is the constant of proportionality

k= 16/3.20 =5

k=5

B. Let c be the cost of sending the texts per month and t be the number of texts sent per month , so

c=t/k

c=t/5 ---------- is the proportionality relationship.

For t=16 , c= 16/5 =$3.20

Learn More

Proportionality :brainly.com/question/11490054

Keywords: cell phone plan, month, international texts, proportional,paid

#LearnwithBrainly

4 0

2 years ago

A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate

const2013 [10]

$|\Omega|=QT=42-24=18\\ |A|=ST=42-29=13\\\\ P(A)=\dfrac{13}{18}\approx72.2\%\Rightarrow \text{D}$

7 0

3 years ago

Read 2 more answers

What is the explict rule for the sequence 12,22,32,42

icang [17]

The explicit rule for given sequence is:

$a_n=2+10n$

Further explanation:

We have to determine first of all if the sequence is arithmetic or geometric.

If the difference of two consecutive terms is same then the sequence is arithmetic sequence
If the ratio of two consecutive terms is same then the sequence is geometric sequence

Given sequence is:

12,22,32,42

$a_1=12\\a_2=22\\a_3=32\\.......\\Let\\d=Common\ difference\\d=a_2-a_1=22-12=10\\d=a_3-a_2=32-22=10$

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\d\ is\ the\ common\ difference$

Putting the values of a1 and d

$a_n= 12+(n-1)(10)\\a_n=12+10n-10\\a_n=2+10n$

The explicit rule for given sequence is:

$a_n=2+10n$

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

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8 0

2 years ago

4 to the power of 5 × 3 to the power of 2​

4 to the power of 5 × 3 to the power of 2