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Svet_ta [14]
3 years ago
5

What is a prime number

Mathematics
1 answer:
mariarad [96]3 years ago
5 0

Answer:

A prime number is a number whose factors are only 1 and itself.

Step-by-step explanation:

Example:

2 is a prime number because its only factors are 1 and itself (2). 4 is not a prime number because its factors are 1, 2, and 4.

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A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underw
Serggg [28]

Answer:

b = 0.0138

Step-by-step explanation:

Given

Regression Equation:

DD=2.69+0.0138D

Required

Determine the slope of the regression line

The equation of regression is of the form

Y =  a + bX

Where b represents the slope;

Compare Y =  a + bX to the given equation

DD=2.69+0.0138D

We have that:

Y = DD

a = 2.69

b = 0.0138

X = D

Hence; the slope is:

b = 0.0138

7 0
3 years ago
Fran swims at a speed of 2.8 mph in still water. The Lazy River flows at a speed of 0.8 mph. How long will it take Fran to swim
Elis [28]

Answer:

1.49 hrs or 1 hr and 30 minutes approximately

Step-by-step explanation:

if fran go 2.8m up then the river flow at a rate of 0.8m; the since we are taking the speed of fran and river to be constant. the ratio between their speed will always remain constant. that is if 0.8/2.8 = 0.286≈ this will be always constant.

so if he go up 4m then the horizontal length has to be 1.143 because 1.143/4 = 0.286.

now we find the distance between frans initial positon and final position. to find it we use pythagoras theorem.

\sqrt{(4^2 + 1.143^2)} =4.160 miles

to find the time divide distance traveled by speed;

4.160/2.8 = 1.49 hrs

7 0
3 years ago
Find f(x) if it is known that f(x-2)=2x-4
Nikolay [14]

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

3 0
3 years ago
Convert 150 base 10 to a binary <br>number.
STALIN [3.7K]

Answer:

10010110

Step-by-step explanation:

A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:

10000000

Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:

10010000

We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:

10010100

What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:

10010110

8 0
3 years ago
Which number has exactly 3 factors?<br> Ś OOOO
IRINA_888 [86]

Answer:

4

Step-by-step explanation:

The factors are:

1, 2,4

8 0
3 years ago
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