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3 years ago

The length of the radius is ____ cm.

Mathematics

2 answers:

balu736 [363]3 years ago

8 0

Answer:

Step-by-step explanation:

ElenaW [278]3 years ago

5 0

The answer is 3 because the radius is half of the diameter

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Find the slope of the line that passes through (8,7) and (5,5)

Sophie [7]

Answer:

slope= 2/3

Step-by-step explanation:

Slope intercept formula: y2-y1/x2-x1

5-7/5-8 = -2/-3 = 2/3

7 0

2 years ago

Help on 4 plz quick also if you can

RideAnS [48]

The area of the rect. is 100 ft times 64 ft, or 6400 ft^2.

Let's list factors of 6400: 64,100

64= 2^6

100= 2^2*5^2

Here we see that 2 appears 8 times as a factor, and 5 appears 2 times:

6400 = 2^6 * 10^2 = 2^8*5^2

4 0

3 years ago

An object is traveling at a speed of 2.5 mph. How long will it take the object to travel 6 miles?

Phoenix [80]

Answer:

It will take him 15 hours to travel 6 miles

Step-by-step explanation:

2.5 miles per hour times 6 miles= 15 hours

8 0

3 years ago

A cyclist rides his bike at a speed of 21

Harlamova29_29 [7]

Answer:

1. 0.35 miles per minute

2. 5.25 miles

Step-by-step explanation:

1. speed is 21 miles per hour

speed per minute = 21/60 = 0.35 miles per minute

2. distance covered in 15 minutes = 15*0.35

= 5.25miles

7 0

2 years ago

Complete the table of values

Agata [3.3K]

Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, $3^{-2} =
\frac{1}{3^{2} }$ .
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, $(\frac{3}{4}) ^{3} = \frac{ 3^{3} }{4^{3} }$ .
3) The zero exponent rule says that any number raised to zero is 1. For example, $3^{0} = 1$ .


Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is $y = 4^{-x}$ . The x-values are:
1) x = 0
Plug this into $y = 4^{-x}$ to find letter a:
$y = 4^{-x}\\
y = 4^{-0}\\
y = 4^{0}\\
y = 1$

2) x = 2
Plug this into $y = 4^{-x}$ to find letter b:
$y = 4^{-x}\\ 
y = 4^{-2}\\ 
y = \frac{1}{4^{2}} \\ 
y= \frac{1}{16}$

3) x = 4
Plug this into $y = 4^{-x}$ to find letter c:
$y = 4^{-x}\\ 
y = 4^{-4}\\ 
y = \frac{1}{4^{4}} \\ 
y= \frac{1}{256}$


Problem 2
The x-values are in the left column. The title of the right column tells you that the function is $y = (\frac{2}{3})^x$ . The x-values are:
1) x = 0
Plug this into $y = (\frac{2}{3})^x$ to find letter d:
$y = (\frac{2}{3})^x\\
y = (\frac{2}{3})^0\\
y = 1$

2) x = 2
Plug this into $y = (\frac{2}{3})^x$ to find letter e:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^2\\ y = \frac{2^2}{3^2}\\
y = \frac{4}{9}$

3) x = 4
Plug this into $y = (\frac{2}{3})^x$ to find letter f:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^4\\ y = \frac{2^4}{3^4}\\ y = \frac{16}{81}$

-------

Answers:
a = 1
b = $\frac{1}{16}$ 
c = $\frac{1}{256}$
d = 1
e = $\frac{4}{9}$
f = $\frac{16}{81}$

5 0

3 years ago