Factor each expression.
4x² +25

Answer:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Step-by-step explanation:

The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

A petri dish has 10, 000 bacteria in it.

This means that [tex]P(0) = 10000[/tex]. So

[tex]P(t) = 10000e^{rt}[/tex]

After 4 hours the bacteria’s population increased to 20,000.

This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So

[tex]P(t) = 10000e^{rt}[/tex]

[tex]20000 = 10000e^{4r}[/tex]

[tex]e^{4r} = \frac{20000}{10000}[/tex]

[tex]e^{4r} = 2[/tex]

[tex]\ln{e^{4r}} = \ln{2}[/tex]

[tex]4r = \ln{2}[/tex]

[tex]r = \frac{\ln{2}}{4}[/tex]

[tex]r = 0.1733[/tex]

So, the formula is given by:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Answer:

[tex]f^{-1} (x)=\frac{x-3}{2}[/tex]

Step-by-step explanation:

y = f(x)

y = 2x+3

You need to switch the places of x and y, into this:

x = 2y + 3

Then solve for y:

2y = x-3

[tex]y=\frac{x-3}{2}[/tex]

[tex]f^{-1} (x)=\frac{x-3}{2}[/tex]

Answer:

The fallacy can specifically be noted in this argument:

"You fell asleep and missed two important customer calls."

Step-by-step explanation:

In the previous argument we can see that the worker is being attacked directly, it is not being indicated with reasonable evidence when it was that he actually fell asleep, in what month, in what time, and how many times.

Answer:

1.846=x

Step-by-step explanation:

SO to find X

We know perimeter is 16

So we have all the sides so add them all up

3x+3+8x-5+2(x-3)=16

Now distribute the possible things first

3x+3+8x-5+2x-6=16

Now combine like terms

13x-8=16

add 8 on both sides

13x=24

Since the problem asked for rounded to 3 decimal places

1.846

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

SR is slightly longer than TS, so with that being stated, we cannot use this theorem for this triangle.

I am joyous to assist you at any time.

Answer:

yes the sum of any triangle is 180°

Step-by-step explanation:

I hope it's helps you

Answer:

The answer is root 7

Step-by-step explanation:

You can find out that ΔABC is isosceles, and CD bisects AB, so AD = 2 - and now you have 2 sides given in ΔADC

Use the Pythagoras Theorum to find the hypotenuse AC

The answer is the square root of 7

Answer:

a number 12

Step-by-step explanation:

duh bro

Answer:

12

Step-by-step explanation:

The two unknown values of the triangle have to be the same.

Subtract 28 from 180 and you get 152

So each angle will be 76.

So now, 76 = -8 + 7x

Simplify and 84 = 7x

Now, x is equal to 12

Hope this helped! Please mark me as brainliest if you can!

Answer:

the second one -9/4 divided (-2/3)

Step-by-step explanation:

Answer:

It should be C.

Step-by-step explanation:

Answer:

it is the first bubble the one you have already selected

Answer:The total cost, C, is the sum of the cost to produce the centerpieces and the fixed cost. The equation for C is C = 8n + 500.

The total revenue, R, of Julio's floral business is the product of the cost per centerpiece and the number of centerpieces sold. The equation for R is R = 19.50n.

Step-by-step explanation:

Answer:

$460.38

Step-by-step explanation:

Use the exponential decay formula, y = C(1 - r)^t

Plug in the original price, depreciation rate, and amount of time:

y = 20000(0.875)^11

y = 460.38

So, the car's value after 11 years will be $460.38

Answer:

The best course grade your friend can earn is 0.848 = 84.8%.

The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.

Step-by-step explanation:

This is a weighed average problem, in which we multiply each grade by its weight.

We have that:

In 80% of the course, the friend has a grade of 81%.

In the other 20%, he will have x.

What is the best course grade your friend can earn?

This will happen if he earns 100% = 1 on the final test. So

[tex]G = 0.8*0.81 + 0.2*1 = 0.848[/tex]

The best course grade your friend can earn is 0.848 = 84.8%.

What is the minimum score would your friend would need on the final to earn a 75% for the course?

This is x, when the grade is 0.75. So

[tex]0.75 = 0.8*0.81 + 0.2x[/tex]

[tex]0.2x = 0.75 - 0.8*0.81[/tex]

[tex]x = \frac{0.75 - 0.8*0.81}{0.2}[/tex]

[tex]x = 0.51[/tex]

The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.

Answer:

Option (3)

Step-by-step explanation:

From the figure attached,

Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)

Area of the circle = πr²

                             = π(5)²

                             = 25π cm²

Area of ΔOAB = 2(Area of ΔOCB)

AB = 6 cm

OC = 5 - 1 = 4 cm

By applying Pythagoras theorem in ΔOCB,

OB² = OC² + BC²

5² = 4² + BC²

BC² = 25 - 16

BC = √9 = 3 cm

Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]

                        = [tex]\frac{1}{2}(4)(3)[/tex]

                        = 6 cm²

Area of ΔAOB = 2(6) = 12 cm²

Area of ΔAOB = Area of ΔDOE = 12 cm²

Area of shaded region = 25π - (12 + 12)

                                      = (25π - 24) cm²

Therefore, Option (3) will be the answer.

Answer: It is C

Step-by-step explanation:

Good luck on your test or homework

Answer:

12.5%=.125, 1= 100%, .8=80% 8%=.08 .25= 25% .5 = 50% .01= 1% .005= 0.5%

Step-by-step explanation:

On the Decimal numbers just move the decimal place over 2 to the right

and add a percent

Answer:

f(5) is equal to 5.

Step-by-step explanation:

You can see this by looking at 5 on the horizontal axis, and seeing where the graph crosses vertical line for that value.  If you look closely, you'll see that the x value of 5 has a y value of 5 as well.

Answer:

x=5

Step-by-step explanation:

hope this is correct have a wonderful day! <3

Answer:

x=5

Step-by-step explanation:

10+1.5x=3.5x

Subtract 3.5x from both sides.

10+1.5x−3.5x=0

Combine 1.5x and −3.5x to get −2x.

10−2x=0

Subtract 10 from both sides. Anything subtracted from zero gives its negation.

−2x=−10

Divide both sides by −2.

x=  −2 /−10

​Divide −10 by −2 to get 5.

x=5

Answer:

9.5-2.75=h

Step-by-step explanation:

Answer:

b = 39

Step-by-step explanation:

The two sides are equivalent so we can use this information to form an equation.

2b - 39 = b

-39 = -b

39 = b

Answer:

77.5

Step-by-step explanation:

Answer:

Interior Angle: 165°

Exterior Angle: 15°

Step-by-step explanation:

So first you have to find the sum of all interior angles of a polygon with 24 sides. This can be found using the formula:

sum = ( n - 2 ) * 180°     where 'n' is the number of sides.

When 'n = 24' then the sum is:

sum = ( 24 - 2 ) * 180°

Simplify and solve.

sum = 22 * 180°

sum = 3960°

Since there are 24 sides to the polygon, there are 24 interior angles. Assuming that this polygon is equilateral, you can surmise that:

Interior Angle = sum° / n   where n is the number of sides,

3960° / 24 = 165° = Interior Angle

Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:

165° + x = 180°

Solve for x.

Answer:

180 minutes so 3 hours

Step-by-step explanation:

Answer:

y=-1 1/3+18

Step-by-step explanation:

isolate the y and divide both by 9

Answer:

i think 0.38

Step-by-step explanation: