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Eva8 [605]
3 years ago
13

Select the equivalent expression. A, B or C?

Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

  A

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

  \left(\dfrac{2^{-10}}{4^2}\right)^7=\dfrac{2^{(-10)(7)}}{4^{(2)(7)}}=\dfrac{2^{-70}}{4^{14}}\\\\=\boxed{\dfrac{1}{2^{70}\cdot 4^{14}}}

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chris runs 2.3 miles every day of the week, except sunday. on sunday he only runs 2 miles. how many miles will he run in 2 weeks
Ludmilka [50]

Answer:

He will run 31.6 miles in two weeks.

Step-by-step explanation:

6 days a week = 2.3 miles

6 days · 2 weeks = 12 days total running 2.3 miles

1 day a week = 2 miles

1 day · 2 weeks = 2 days total running 2 miles

(12 · 2.3) + (2 · 2)

27.6 + 4

31.6 miles

7 0
3 years ago
one teacher wants to give each student 7/8 of a slice of pizza. If the teacher has 7 slices of pizza then how many students will
Crazy boy [7]

Answer:

The teacher can hand out pizza to 8 students.

Step-by-step explanation:

To find how many slices of pizza the teacher can hand out , you can divide 7 by 7/8 and round down the nearest whole number.

7 ÷ 7/8 = 8

8 is already a whole number. No need to round down.

The teacher can hand out pizza to 8 students.

4 0
3 years ago
Read 2 more answers
What’s the area of this figure?
Ivan

Answer:

C. 155.5 cm2

Step-by-step explanation:

area = 5*15 + (15+8)*7/2 = 75 + 80.5 = 155.5 cm2

3 0
3 years ago
Any mha fans.............................
lidiya [134]

Answer:

you bet

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Prope
ziro4ka [17]

Given:

Expression is

3r^2-2r+4

To prove:

If r is any rational number, then 3r^2-2r+4 is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.  

Let r be any rational number.

We have,

3r^2-2r+4

It can be written as

3(r\times r)-2r+4

Now,

3, -2 and 4 are rational numbers by property 1.

r^2=r\times r is rational by Property 3.

3r^2\text{ and }-2r are rational by Property 3.

3r^2+(-2r)+4 is rational by property 2.

So, 3r^2-2r+4 is rational.

Hence proved.

6 0
2 years ago
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