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professor190 [17]
2 years ago
5

Express 972 in the exponential from using prime factors

Mathematics
1 answer:
Rufina [12.5K]2 years ago
4 0

972 = 4 \times 243 = 2^2 \times 3^5

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Given a point translated from A(1,2) to B(4,4). If a point C at (0,0) is translated in the same way, what will be its new endpoi
avanturin [10]

Answer:

B. (3,2)

Step-by-step explanation:

Step 1) When shifting from A(1,2) to B(4,4), the point shifted 3 units to the right (which means x=3) and 2 units upwards (which means y=2).

Step 2) So when you apply the same movements to point C(0,0), the new point will be (3,2).

See the diagram below. Step 1 is the graph on the left. Step 2 is the graph on the right. The movement is colored in green. Hope this helps!

7 0
2 years ago
Freya wants to use her debit card to purchase a $135 tablet computer.
Ray Of Light [21]

Answer:

She must be sure there is at least $135 in her bank account for the purchase.

She must check to see if any automatic payments are scheduled for her account.

Step-by-step explanation:

just finished that assignment

8 0
3 years ago
Given the list of terms 1/3​, 1, 5/3, 7/3,.... Find the 15th and −16th term.
qwelly [4]

Answer:

15th term =29/3

16th term = 31/3

Step-by-step explanation:

Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .

First we find the 15th term

n=15

a1=1/3

d=1 - 1/3 = 2/3

Solution

1/3+(15-1)2/3

1/3+28/3

(1+28)/3

29/3

Lets find the 16th term

1/3+(16-1)2/3

1/3+30/3

(1+30)/3

31/3

8 0
3 years ago
The table shows the number of cell phone towers a
Olin [163]

Answer:

The correct option is;

B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)

Step-by-step explanation:

The given data can be presented as follows;

Cell Phone Towers

Customer (thousands)    {}   Towers

1) 5.25            {}                          273

2) 6.25            {}                         325

3) 7.25            {}                         377

4) 9.25            {}                         481

From the given data, we have the ratio Towers/Customer (thousands) given as follows;

For 1), we have;

273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)

For 2), we have;

325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)

For 3), we have;

377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)

For 4), we have;

481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)

Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).

6 0
3 years ago
Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply
AlekseyPX

Answer:

All of them

Step-by-step explanation:

triangles are different sizes

7 0
3 years ago
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