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4 years ago

Question 8 help please, please provide proper explanation! BIG POINTS

Mathematics

2 answers:

svlad2 [7]4 years ago

6 0

Answer:

Step-by-step explanation:

(45/360) × Circumference = 22

Circumference = 22 × 360/45

= 176 cm

Likurg_2 [28]4 years ago

3 0

Answer:

176 cm

Step-by-step explanation:

45 degrees is what fraction of the circle

45/360 = 1/8

So multiply the arc length by 8 to get the circumference of the entire circle

22* 8 =176 cm

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If the number of bacteria in a colony doubles every 8 hours and there is currently a population of 9,315 bacteria, what will the

Liono4ka [1.6K]

It is given that the bacteria in a colony doubles every 8 hours.

To find the population of bacteria 24 hours from now, we need to find the population of bacteria after every 8 hours.

The present population of the bacteria is 9315.

After 8 hours, the bacteria becomes double. So, the number of bacteria becomes 9315 x 2 = 18630.

Again after 8 hours, the bacteria becomes 18630 x 2 = 37260.

Again after 8 hours, the bacteria becomes 37260 x 2 = 74520.

Thus, after 24 hours from now, the population of the bacteria is 74520.

8 0

1 year ago

Joe paid 14.00 for a board game this is 70% off the original price what is the original price?

soldi70 [24.7K]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be x.

$x\times \frac{70}{100}=14$

$x\times \frac{7}{10}=14$

Multiply both sides by 10.

$7x=140$

Divide both sides by 7.

$x=20$

The original price is 20. Therefore the correct option is B.

6 0

4 years ago

Check that 2b+b and 3b have the same value when b is 1,2, and 3. Do 2b+b and 3b have the same value for all values of b? Explain

Inessa [10]

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression $2b+b$ and $3b$ and values of b as 1, 2 and 3.

Consider first expression that is, $2b+b$ .

Substituting the value of $b=1$ ,

$2\left(1\right)+\left(1\right)=2+1=3$ ....1

Substituting the value of $b=2$ ,

$2\left(2\right)+\left(2\right)=4+2=6$ ....2

Substituting the value of $b=3$ ,

$2\left(3\right)+\left(3\right)=6+3=9$ ....3

Consider second expression that is, $3b$ .

Substituting the value of $b=1$ ,

$3\left(1\right)=3$ ....4

Substituting the value of $b=2$ ,

$3\left(2\right)=6$ ....5

Substituting the value of $b=3$ ,

$3\left(3\right)=9$ ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

3 0

3 years ago

100 if u get this right!

Dafna11 [192]

2 because it is the number being added to the zero intercept in the equation

5 0

3 years ago

Read 2 more answers

Y=8x-3/-4x-10 has a vertical asymptote with equation(enter equation of the vertical asymptote

xz_007 [3.2K]

Answer:

x=-2.5 if the function is $f(x)=\frac{8x-3}{-4x-10}$

Step-by-step explanation:

$y=\frac{8x-3}{-4x-10}$ has discontinuities when the denominator is 0.

You will either have a hole or a vertical asymptote depending on what happens to the numerator after you find when the bottom is 0.

That is whatever you found that makes the bottom 0, if it makes the top also 0 then you will have a hole at x=the number that made the bottom 0.

If it makes the top anything other than 0, then it is a vertical asymptote at x=the number you found that made the bottom 0.

Let's do this now.

When is -4x-10 equal to 0?

We have to solve the equation:

-4x-10=0

Add 10 on both sides:

-4x=10

Divide both sides by -4:

x=10/-4

Reduce by dividing top and bottom by 2:

x=5/-2

x=-5/2

x=-2.5 (if you want decimal form)

Now does it make the top 0? This is the deciding factor on whether you have a hole at x=-2.5 or a vertical asymptote at x=-2.5.

Let's see.

8(-2.5)-3=-23

Since the top is not 0 at x=-2.5 then you have a vertical asymptote at x=-2.5.

If the top were 0, then you would have had a hole at x=-2.5.

5 0

3 years ago