Find the slope and the y-intercept of the line with the equation 8y - x + 7 = 0.

The population of the bacteria after 8 hours is 1639 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 500 bacteria, hence

a = 500

The bacteria grow at a rate of 16% per hour, hence:

b = 100% + 16% = 1.16

The exponential equation becomes:

y = 500(1.16)ˣ

After 8 hours:

y = 500(1.16)⁸ = 1639

The population of the bacteria after 8 hours is 1639 bacteria.

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Answer:

uhhhhhhhhhhhh what does this say?

Answer: 5

Step-by-step explanation:

Answer:

8.72×10²

Step-by-step explanation:

Answer:

x^2+y^2=4, yes, no, yes, no

Step-by-step explanation:

a) It's centered at the origin, which means that the equation is x^2+y^2=r^2, right? Then since point (0,2) is on the circle, its radius can be solved using Pythagoras theory, r=sqrt(0^2+2^2)=2, so the equation is x^2+y^2=4.

b) You plug the points into the equation and if the equation is true, they're on the circle. I'll give you an example of the first two.

([tex]\sqrt{3},1[/tex]): so x=[tex]\sqrt{3}[/tex], y=1. When you bring that into the equation you got in (a), it would be 3+1=4, which is true, which means that the point is on the circle.

(4,0): so x=4, y=0. When you bring that into the equation you got in (a), it would be 16+0=4, which is not true, which means the point isn't on the circle.

If the expression inside the absolute value bars which is -6 .Simplifying the expression |−6 + (−3)| (−3) + 8 ÷ 2 is: 9.

Let simplify the given expression step by step:

|-6 + (-3)| = |-9| = 9

First calculate the expression inside the absolute value bars which is -6 + (-3) = -9. Then  take the absolute value of -9, which is 9.

(-3) + 8 ÷ 2 = (-3) + 4 = 1

We follow the order of operations (PEMDAS/BODMAS).

First perform the division:

8 ÷ 2 = 4

Add -3 to 4 which gives us 1.

Simplified expression :

9 * 1 = 9

Therefore the expression is 9.

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Answer:

99th term is 51

Step-by-step explanation:

Arithmetic sequence equation

a1= first term = 2

d= common difference = 0.5 or 1/2

2, 5/2 = 5/2 - 2 = 0.5 or 1/2

3 - 5/2 = 1/2

7/2 - 3 = 1/2

an = a1 + (n - 1)d

a99 = 2 + (99-1) 1/2

a99= 2 + 98 (1/2)

a99 = 2 + 49

a99 = 51

Answer:

Step-by-eeeeeeeeestep explanation:

Answer:

0.0000005882

Step-by-step explanation:

So... 10 to the -7th power is 1 /10000000 or  0.00000001. When you multiply 5.882 by that, you get 0.0000005882 or if you round it, 0.00000089.

Hope this helps!

Answer:

3;87

Step-by-step explanation:

Since they are complementary, they add up to 90°. This allows you to write the equation

[tex]x+(16x+39) = 90 \rightarrow 17x=90-39 \rightarrow 17x=51 x=\frac{51}{17}=3[/tex]

The second angle measures then [tex]90-3 = 87[/tex]

Answer:

the mean of this sequence of numbers is 99

Answer:

it is 99

Step-by-step explanation:

Answer:

y=2

y=4

y=6

y=8

Step-by-step explanation:

please mark brainlist

Answer:

greater

Step-by-step explanation:

if you add them and do the multiplication it is greater

Answer:

It would be equal

Step-by-step explanation:

You first divide 5/5, which is equal to 1, multiply that by 2 to get 2.

After that, there is a 3/4 sitting around so you add 3/4 to 2.

Then you will see that both are equal.

Answer:

class C

Step-by-step explanation:

a=(17/25)=0.68

b=(13/20)=0.65

c=(7/10)=0.7

at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male

>> The total number of teachers in school would be

>> Thus, the fraction of male teachers in school would be;

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- Happy Holidays! -

The required fraction of male teachers in teachers is 11/25.

Fraction is defined as the number of compositions that constitutes the Whole.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total number of teachers = female + male
                                       = 14 + 11 = 25 teachers

Fraction of male teachers = male teachers / teachers = 11 / 25

Thus, the required fraction of male teachers in teachers is 11/25.

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Answer:

Step-by-step explanation:

The second equation is y = -5x - 19

The first equation needs a little work

y - 9 = -5(x + 2)                                         Remove the brackets

y - 9 = -5x - 10                                          Add 9 to both sides.

y = -5x -10 + 9                                          Combine

y = - 5x - 1

There are two lines there. They are parallel, but they never cross. The y intercepts are not equal and they don't lie on top of each other.

Minimum value = 12

Maximum value = 37

snumber of observations = 10 (even)

Median = Mean of middle most terms

Middle most terms = 22, 25

Median ={22+25}{2}=23.5222+25=23.5

Answer:

nonsense

Step-by-step explanation:

[tex]144\times0.2=28.8[/tex]

This employees statement is nonsense, as 43 sesame bagels is far more than the 29 they should expect when they order 20% of 144 bagels.

Answer:

it's nonsense. coz a person can't receive 43 sesame Bangles. it is not the actual number of sesame Bangles she should receive.

[tex]Area = \frac{(6 + 10) \times 7}{2} \\ [/tex]

[tex]Area = \frac{16 \times 7}{2} \\ [/tex]

[tex]Area = \frac{2 \times 8 \times 7}{2} \\ [/tex]

[tex]Area = 8 \times 7[/tex]

[tex]Area = 56 \: \: {in}^{2} [/tex]

Answer:

Area: [tex]56in^2[/tex]

Step-by-step explanation:

The formula for the area of a trapezoid is:

[tex]A = \frac{a+b}{2}h[/tex]

so replacing with the given values we get:

[tex]a = 6in\\h = 7in\\b = 10in[/tex]

[tex]A = \frac{6in+10in}{2}7in = 56in^2[/tex]

So our final answer is [tex]56in^2[/tex]

Answer:

A

Step-by-step explanation:

The answer is A because is it asking for a 3 in the hundredths place of the difference. Difference means subtraction. And you can find the hundredth spot in the second place over from the decimal

(ex. 1.23, hundredth place is a 3)

So then you do the math and find the differences.

14.56-9.33=5.23, which has a 3 in the hundredth place.

Hi!

To solve this, we simply use the equation shown in the image below:

What this means is the change in y over the change in x.

We use the two points and plug them in the equation like so:

[tex]\frac{6 - - 18}{4--16} =\frac{6+18}{4+16} =\frac{24}{20} =\frac{6}{5}[/tex]

Therefore your answer is [tex]\frac{6}{5}[/tex].

Hope this helps! Have a fantastic day! :D

Let me know if you need any other help.

Answer:

check online for more information

Answer:

Any equation with a slope of 3 will work. You can use any y-intercept. This equation will work: y = 3x+1

Step-by-step-explanation:

3x says that the slope is 3, and on a coordinate plane, 2 is 3 places above 5, and since the slope is 3, it will go 3 spots up, and run into (0,2)

Answer:

anyone wants to have fun with indian girl ?

Answer Ben plays video games for 1 1/2 hours per day for the 3 days

Step-by-step explanation:

He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.

Let D = #hours per day Ben plays, then

3D = 4 1/2

3D = 4.5

D = 4.5/3

D = 1.5

Answer:

It is 18 feet

Step-by-step explanation:

The remaining spoon of ribbon will be; 22 feet.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that a spool of ribbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, then

WE need to find the remaining spoon of ribbon after excluding the 2 yards of ribbon.

The remaining spool can be calculated by the difference;

24 feet of ribbon - 2 yards of ribbon

24 - 2 = 22

Therefore, the remaining spoon of ribbon will be; 22 feet.

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Answer:

  34 hours or more

Step-by-step explanation:

If h is the number of hours Jack works, then his earnings will total 15h. He wants that to be at least 500. The appropriate inequality is ...

  15h ≥ 500

  h ≥ 33 1/3 . . . . . divide by 15

Jack needs to work 34 hours or more to earn at least $500.

Answer:

-13

Step-by-step explanation:

subtract 7 from -6

Answer: -13

Step-by-step explanation: When you have two numbers with negative signs, you add them but you keep the negative sign.

Therefore, -6-7 = -13

For the future, know these rules for signs when adding, subtracting, dividing and multiplying:

When adding two negative numbers, you add but keep the negative sign like in the above problem.

When adding a positive and negative, you subtract but keep the sign of the highest number. Example: -4+9 = 5 or -11+3 = -8.

When multiplying two negatives or positives numbers, the answer will be positive. When multiplying negatives x positive = negative.

The same applies to division. (-)/(+) = (-) or (+)/(-) = (-)

                                                 (-)/(-) = (+)

Hope this explanation and rules help.