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Gnoma [55]
3 years ago
6

Rewrite the expression with the given base. 16^x with a base of 2.

Mathematics
1 answer:
olga55 [171]3 years ago
5 0
Keeping in mind that 16 = 2*2*2*2, thus 16 = 2⁴

\bf 16^x\implies (2^4)^x\implies 2^{4\cdot x}\implies 2^{4x}
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Point C is on line segment \overline{BD} BD . Given BC=x+4,BC=x+4, CD=5x,CD=5x, and BD=5x+7,BD=5x+7, determine the numerical len
aleksandrvk [35]

Answer:

CD = 15

Step-by-step explanation:

Given

BC = x + 4

CD = 5x

BD = 5x + 7

Required

Determine CD

Since Point C is on segment BD, then we have

BD = BC + CD

Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD

5x + 7 = x + 4 + 5x

Collect Like Terms

5x - 5x - x = 4 - 7

- x = -3

Multiply both sides by -1

x = 3

Substitute 3 for x in CD = 5x

CD = 5(3)

CD = 15

<em>Hence, the length of CD is 15 units</em>

6 0
3 years ago
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Kisachek [45]
Ummm search it up on google it should be on there
4 0
3 years ago
I’m struggling on both of them can you give both answers
Leona [35]

4.16 hours and 4 cups

Step-by-step explanation:

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11. Simply times it by 6, 2/3*6= <u>4</u><u> </u><u>c</u><u>u</u><u>p</u><u>s</u>

4 0
3 years ago
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Dina spent 6 dollars on a sandwich. Then she spent 3 dollars on a drink.
kvv77 [185]

Answer:

Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:

⎛

⎜

⎜

⎜

⎜

⎝

0

Soup 1

Soup 2

Soup 3

Sandwich 1

1

2

3

Sandwich 2

4

5

6

Sandwich 3

7

8

9

⎞

⎟

⎟

⎟

⎟

⎠

And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.

The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:

3

×

3

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4

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=

72

Step-by-step explanation:

7 0
3 years ago
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Rectangle A is a scaled version of rectangle B. The dimensions of rectangle A are three times the dimensions of rectangle B. The
Firlakuza [10]

Answer:

1458 sq cm

Step-by-step explanation:

because each dimension of A is 3 tomes each dimension of B, that will mean that both the length and width of B are multiplied by 3 in order to get the length and width of A, so the area of B is length×width=162 and the area of A (in terms of B's dimensions) is 3xlength×3×width=9×length×width=9×162=1458 sq cm

7 0
4 years ago
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