Can someone help me with this geometry problem please ?

Answer:

a)  [tex]y=12000(2)^{\frac{t}{50}}[/tex]

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

[tex]y=Ab^{\frac{t}{n}}[/tex]

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

[tex]y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}[/tex]

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

[tex]y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76[/tex]

The number of bacteria after 1 hour would approximate be 27,569 bacteria

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

[tex]y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103[/tex]

After about 103 minutes, there will be 50,000 bacteria

Answer: it’s A

Step-by-step explanation:

I took the edge test

To identify a table representing the recursive formula an = a(n-1) + 6, one should look for a pattern where each term is 6 greater than the previous one.

The recursive formula an = a(n-1) + 6 is a mathematical way of defining a sequence that is created by adding 6 to the previous term. To find out which table represents this formula, look for a pattern where each term is 6 greater than the one before it. For example, if the first term is 2, the second term should be 2 + 6 = 8, the third term should be 2nd term + 6 = 8 + 6 = 14, and so on. By following this pattern, you can identify the table that accurately represents the recursive formula.

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The insect population after 4 weeks will be 160 to the nearest whole number.

The student is asking about the function f(x) = 10(2)ˣ, which models an insect population after x weeks.

To find the population after 4 weeks, we need to substitute x with 4 in the function:

f(4) = 10(2)⁴

Now we calculate the value:

f(4) = 10(16) = 160

So, to the nearest whole number, the insect population after 4 weeks will be 160.

Answer:

the answer is 5 inches

Step-by-step explanation:

so for this problem I used the pythagorean theorem which is a^2 + b^2 = c^2.

Answer:

80 feet below sea level

Step-by-step explanation:

We know that the rate of the diver is 2 ft / min. The time we are given is 40 minutes, so to find out how many feet the diver has descended, we multiply the rate by the time:

(2 ft / min) * (40 min) = 80 ft

Thus, the diver is 80 feet below sea level after 40 minutes.

Hope this helps!

Answer:

Yes: A, B, F

No: C, D, E

Step-by-step explanation:

2(x + 7) = 36

First divide both sides by 2

(x + 7) = 36/2

x + 7 = 18

Or

2(x + 7) = 36

2x + 14 = 36

Or,

2(x) + 2(7) = 36

The equations that represent the correct first step to the given equation should be Yes for options  A, B, F and No for options  C, D, E

Since the given equation is 2(x + 7) = 36

Here we first divide both sides by 2

So,

(x + 7) = 36 ÷ 2

x + 7 = 18

Or

2(x + 7) = 36

2x + 14 = 36

Or,

2(x) + 2(7) = 36

Therefore, The equations that represent the correct first step to the given equation should be Yes for options  A, B, F and No for options  C, D, E

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Janice will need to spend $2756.00 on fencing.

Set up the equation for the width:

Width = 2x^2 - 99x + 6 (given in the problem)

Substitute the known length (50 feet) into the equation:

50 = 2x^2 - 99x + 6

Solve the quadratic equation for x (length of the wider side):

This equation can be solved using various methods like factoring, quadratic formula, or online calculators. For example, using an online calculator, we find two solutions: x ≈ 1.59 or x ≈ 49.41.

Since the length cannot be a fraction of a foot, choose the larger solution:

x ≈ 49.41 feet

Calculate the total perimeter of the enclosed area:

Perimeter = 2 (length + width) = 2 (50 feet + 49.41 feet) ≈ 198.82 feet

Find the total cost of fencing:

Total cost = Perimeter * Cost per foot = 198.82 feet * $13/foot ≈ $2756.00

Therefore, Janice needs to spend $2756.00 on fencing to enclose the specified portion of her yard.

Answer:

Loaves of zucchini bread = 3

Loaves of banana bread = 3

Completed question;

What is the number of whole loaves of each type of bread Hayley should make in order to havo the best

amount of the 15 cups of flour and 9 eggs left over?

Given that;

Each Banana bread requires 3 cups of flour and 1 egg

And Each zucchini bread requires 2 cups of flour and 2 eggs.

Loaves of zucchini bread:?

Loaves of banana bread:?​

Step-by-step explanation:

Representing the problem in equation form;

3b + 2z ≤ 15 .......1

b + 2z ≤ 9 .......2

Where;

b is the number of banana bread to be made and

z is the number of zucchini bread to be made

To solve, subtract equation 2 from 1;

3b-b + 2z-2z ≤ 15-9

2b ≤ 6

b ≤ 6/2

b ≤ 3

Substituting into equation 2

3 + 2z ≤ 9

2z ≤ 9 - 3

2z ≤ 6

z ≤ 6/2

z ≤ 3

Loaves of zucchini bread = 3

Loaves of banana bread = 3

3 whole loaves of each type of bread should be made

Represent the banana bread with x, and the zucchini bread with y.

Using the complete question as a guide, we have the following equations

3x + 2y = 15

x + 2y = 9

Subtract both equations

2x = 6

Divide both sides by 2

x ≤ 3

Recall that:

x + 2y = 9

So, we have:

3 + 2y = 9

Subtract 3 from both sides

2y = 6

Divide both sides by 2

y = 3

So, we have:

x = y = 3

Hence, 3 whole loaves of each type of bread should be made

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Hence the correct answer is Option (A) i.e. 37

The composition of a function is an operation where two functions say f and g generate a new function.

Given,

        [tex]f(x)= x^2+1[/tex]-------------------(1)  

and,  [tex]g(x)= x-4[/tex]

Now ,

          [tex]fog(x)=f[g(x)][/tex]

                     [tex]=f(x-4)[/tex]

                     [tex]=(x-4)^2+1[/tex]       (from 1)

                     [tex]=x^2-8x+16[/tex][tex]+1[/tex]  

         [tex]fog(x)=x^2-8x+17[/tex]-----------------(2)

Now , we need to find  [tex]fog(10)[/tex]

so, put x=10 in equation 2, we get:

[tex]fog(10) = 10^2 -8(10)+17\\fog(10) = 100-80+17\\fog(10) = 37[/tex]

Hence, the answer is 37

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Answer:

the slope

Step-by-step explanation:

Answer:

8 inches

Step-by-step explanation:

Using Pythagorean theorem you know a^2+b^2=c^2

a^2+b^2=c^2 =

6^2+b^2=10^2=

36+b^2=100

100-36=b^2

64=b^2

64=8^2

The Tv is 8 inches tall

Answer:

its A

Step-by-step explanation:

i got it right

Answer:A

Step-by-step explanation:

Answer:

Step-by-step explanation:

He set the factored expressions equal to eachother

Mathieu made the error of setting the factored expressions equal to each other. In step 3, he incorrectly wrote x + 3 = x + 1. This is not true, and it led him to the incorrect conclusion that x = -2.

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Suppose that we're given that:

Population standard deviation =[tex]\sigma[/tex]

Size of sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

We are given that;

f(x) = x2 + 4x + 3

Now,

To find the x-intercepts of the function f(x) = x^2 + 4x + 3, you need to set the function equal to zero and solve for x:

x^2 + 4x + 3 = 0

You can factor this quadratic equation as:

(x + 3)(x + 1) = 0

Then, you can use the zero product property to find the values of x that make the equation true:

x + 3 = 0 or x + 1 = 0

Solving for x in each equation gives:

x = -3 or x = -1

Therefore, after finding the error step 3 will be f(x) = x^2 + 4x + 3 are (-3, 0) and (-1, 0).

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Answer:

a

Step-by-step explanation:

Answer:60

Step-by-step explanation: BECAUSE YOU ARE A GREAT PERSON.

Answer:

i dont know sorry

Step-by-step explanation:

i dont know sorry

Answer:

9d+5e+6f

Step-by-step explanation:

(4d + 7e – 3f) + (5d – 2e +9f)

4d+5d+7e-2e-3f+9f

9d+5e+6f

Answer:

9d+5e+6f

Step-by-step explanation:

(happy to help)

Answer:

x=1

Step-by-step explanation:

To solve this question we will have to open the bracket first

So let's solve

3(x-5)=18

Open the bracket

3x-15=18

Add 15 to both sides

3x=3

Make x the subject of formula by dividing both sides by 3

x=1

So the final answer is 1

Answer:

x = 11

Step-by-step explanation:

First Expand the Brackets

3x-15 = 18

Then add 15 onto both sides

3x = 33

Divide both sides by 3

x = 11

Answer:

19% of 205 = 38.95

Hope this helps love!

Answer:

(-3,5)

Step-by-step explanation:

If the slope of y=x is 1, then you have to reflect over that line with a negative slope. It should reflect over to be (-3,5).

Answer:C

Step-by-step explanation:have a nice day!

Answer:

well i have no idea what ur asking but i think 6+3*2>-3 and 98<1/2*2+1

Step-by-step explanation:

9514 1404 393

Answer:

  24°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc.

  48°/2 = 24°, the measure of ∠ABC

Answer:

First you'll find the equation of the graphed line in slope-intercept form, y = mx+b, and then from there we'll convert it into standard form, ax+by = c. To find the slope of the line you could either use the two points on the line or just look and see.

Step-by-step explanation:

Answer:

150 units³

Step-by-step explanation:

l * w * h = volume, so...

10*5*3 = volume

150 = volume

Answer: its 150 i took the test

Step-by-step explanation:

0.05 written in scientific notation is 5 * 10^-2

The number is given as:

Number = 0.05

Multiply by 1

Number = 0.05 * 1

Express 1 as 100/100

Number = 0.05 * 100/100

Evaluate the product

Number = 5 * 1/100

Express 1/100 as an exponent

Number = 5 * 10^-2

Hence, 0.05 written in scientific notation is 5 * 10^-2

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The correct scientific notation for the decimal 0.05 is 5 x 10^-2, which is the option that correctly shows this number in scientific notation.

The question asks for the correct scientific notation of the decimal 0.05. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It's a way of scaling down or up numbers to make them easier to work with, especially when dealing with very large or very small values.

To write 0.05 in scientific notation, we identify a number between 1 and 10 followed by a power of 10 that will put the decimal in the correct place. We see that 0.05 is the same as 5 moved two decimal places to the left. Therefore, in scientific notation, we write this as 5 x 10-2.

The option showing 0.05 written correctly in scientific notation is 5 x 10-2.

Answer:

11,744

Step-by-step explanation:

Answer:

11744

Step-by-step explanation:

Answer:

x^(2)-14=50

Step-by-step explanation:

The word problem 'The difference between a number squared and 14 is 50' translates to the quadratic equation x^2 - 14 = 50 in mathematical terms.

To form an equation, let's denote the unknown number as x. The phrase 'a number squared' can be written as x2, and 'the difference between a number squared and 14' translates to x2 - 14. According to the problem, this difference equals 50. Therefore, the equation representing this situation is:

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Answer:

720 Dollars a Week

Step-by-step explanation:

18x8x5

since he makes 18 dollars an hour you multi that by 8 because 8 hours

then you have to multiply that by 5 because he works 5 days a week mon-fri

Answer:

Answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did it

Answer:

See below

Step-by-step explanation:

You have not provided the options.

But I will explain how you can work it.

Coterminal angles are two or more angles that have the same terminal side in standard.

If you want to find an angle that is coterminal with 98°, you keep adding or subtracting 360°.

[tex]98 + 360 = 458 \\ 98 + 2 \times 360 = 818[/tex]

[tex]98 - 360 = - 262[/tex]

Therefore 488°, 818°, -262° are examples of angles that are coterminal with 98°