50 points find x
Please help

50 Points Find XPlease Help

Answers

Answer 1

Answer:

x = 17

Step-by-step explanation:

The dash on each side means that all side lengths are equal in length.

Therefore, the shape shown is a regular polygon (hexagon).

Exterior angle of a regular polygon = 360 ÷ number of sides

⇒ Exterior angle of a regular hexagon = 360 ÷ 60 = 60°

Therefore,

4x - 8 = 60

Add 8 to both sides:

⇒ 4x = 68

Divide both sides by 4:

⇒ x = 17


Related Questions

find three consecutive integers whose sum is 1266

Answers

Answer:

(x)t(xt1)t(xt2)=1266

Step-by-step explanation:

here here we will use the algebra to find three consecutive integers whose sum is 1266 we start by assigning x to the first integer since there are consecutive it means that the second number will be x plus 1 and the third will be x plus 2 they shall all add up to 1 2 6 6 therefore you can write the equation as a following

Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).

Which rule was used to translate the image?

T4, –4(x, y)
T–4, –4(x, y)
T2, –4(x, y)
T–2, –4(x, y)

Answers

Answer:

T2, –4(x, y)

Step-by-step explanation:

Pre image has taken place ⇒ 2 units Horizontally right and 4 unit vertically down to obtain vertices of Image.

Hence, Answer = T2, –4(x, y)

~Lenvy~

Answer: T2, –4(x, y)

Step-by-step explanation:

right on edge 2023

Ok what is the time and how do I actually get this free trial lol

Answers

the time is only 9:30 and fine in it lol

Parallel Lines and Transversals Find the measure of each angle indicated. Pls help me on these at least a couple of them I really need help I'll give brainliest if it is correct ​

Answers

Answer:

  75°, 112°, 125°, 113°, 89°, 98°, 90°, 130°

Step-by-step explanation:

The marked angle pairs are one of ...

vertical angles -- congruentlinear pair -- supplementaryconsecutive interior -- supplementaryalternate interior -- congruentcorresponding -- congruentalternate exterior -- congruent

1) vertical angles (congruent): ? = 75°

2) linear pair (supplementary): ? = 180° -68° = 112°

3) consecutive interior (supplementary): ? = 180° -55° = 125°

4) alternate interior (congruent): ? = 113°

5) corresponding (congruent): ? = 89°

6) alternate exterior (congruent): ? = 98°

7) alternate interior (congruent): ? = 90°

8) alternate interior (congruent): ? = 130°

_____

Additional comment

For parallel lines in general, all of the obtuse angles are congruent, and all of the acute angles are congruent. All of the obtuse angles are supplementary to the acute angles. (In (7), all angles are right angles, so all are congruent.) These facts can help you with problems like this one.

Learning the language (names/relationships) of these angles will be helpful to you in the future.

1. The full Renegade dance Jalaiah created is 56 seconds long. For a 15-second-long TikTok, what percent of Renegade is used?​

Answers

Answer:

3.7

Step-by-step explanation:

You have to divide

Answer:

i do not know tbh .

Step-by-step explanation:

Select the correct answer from the drop-down menu.
The design of a building that has a square pyramid roof as a roof is shown. The cost of material for the outside of the building and for the roof
ranges from $25 per square foot to $50 per square foot. The budget for this material is $500,000. The rectangular front of the building has a
length twice as long as its height. The slant height of the roof is the same as the height of the rectangular front of the building.
What is the maximum possible length of the rectangular front of the building to the nearest foot?
feet
The maximum possible length of the rectangular front of the building is

Answers

The maximum length of the rectangular front is the highest length of the rectangular front, and the value is 128.1 feet

How to determine the maximum possible length?

Let the dimension of the rectangular front be x and y.

Such that:

y = 2x

So, the area of the rectangular front is:

A = xy

[tex]A = 2x^2[/tex]

The surface area of the pyramid roof is:

A = 4bh

Where:

b = base =25

h = height =18

So, we have:

[tex]A = 4* 25 * 18[/tex]

[tex]A = 1800[/tex]

The total surface area of the figure is:

[tex]T = 1800 +2x^2[/tex]

The range of the cost of material is: $25 per square foot to $50 per square foot.

So, the maximum cost is:

[tex]50 * (1800 +2x^2) = 500000[/tex]

Divide both sides by 50

[tex]1800 +2x^2 = 10000[/tex]

Subtract 1800 from both sides

[tex]2x^2 = 8200[/tex]

Divide both sides by 2

[tex]x^2 = 4100[/tex]

Take the square root of both sides

x = 64.03

Recall that:

y = 2x

So, we have:

y = 2 * 64.03

y = 128.06

Approximate

y = 128.1

Hence, the maximum possible length of the rectangular front of the building is 128.1 feet

Read more about maximum area at:

https://brainly.com/question/19819849

Answer: 82

Step-by-step explanation:

Find a third degree polynomial with the given zeros and a leading coefficient of 4. 1/2, 3/2, 2​

Answers

Answer:

[tex]4x^3-16x^2+19x-6[/tex]

Step-by-step explanation:

P(x)=a(x-r1)(x-r2)(x-r3)

This is a third degree polynomial of leading coefficient a, where r1, r2 and r3 are the roots.

So just replace it with the values you are asked for :

[tex]4\left(x-\frac{3}{2}\right)\left(x-\frac{1}{2}\right)\left(x-2\right)\\[/tex]

Then expand and you will find the answer : [tex]4x^3-16x^2+19x-6\\[/tex]

Question 2
A classroom has 15 girls and 11 boys.
(a) Find the ratio of boys to girls.

Answers

Answer:

11:15

Step-by-step explanation:

Jackson weighed all of his pet guinea pigs and found the average weight to be 2.4 pounds. If the standard error of the sample mean was 0.2227 and the sample standard deviation was 0.63 pounds, how many guinea pigs does Jackson have

Answers

Using the Central Limit Theorem, it is found that Jackson has 8 guinea pigs.

What does the Central Limit Theorem state?

It states that the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], in which [tex]\sigma[/tex] is the standard deviation of the population.

In this problem, we have that [tex]s = 0.2227, \sigma = 0.63[/tex], hence we solve for n to find the number of guinea pigs that he has.

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.2227 = \frac{0.63}{\sqrt{n}}[/tex]

[tex]0.2227\sqrt{n} = 0.63[/tex]

[tex]\sqrt{n} = \frac{0.63}{0.2227}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{0.63}{0.2227}\right)^2[/tex]

[tex]n = 8[/tex]

Jackson has 8 guinea pigs.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

find the equation of a line that is parallel to this line and passes through the point (-3,1)

Answers

Answer:

Two possible equations:

Point-slope form is [tex]y-1=-\frac{2}{3} (x+3)[/tex]

Slope-Intercept form is [tex]y=-\frac{2}{3}x+-1[/tex]

Step-by-step explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope([tex]m[/tex]).

Then, we  need to know the slope-intercept form of an equation. The point slope form is [tex]y-y1=m(x-x1)[/tex] where [tex]m[/tex] is the slope of the line and [tex]y1[/tex] and [tex]x1[/tex] represent the point on the graph. This is the equation we'll use for the line.

So now that we understand what we need to find, we need to find the slope of the existing line. To do this we use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex]. We can plug in the points (-2,3) and (1,1) on the graph to get [tex]m=\frac{1-3}{1+2}[/tex]. When we simplify this we get [tex]m=-\frac{2}{3}[/tex] so we know our slope is [tex]-\frac{2}{3}[/tex]. Lastly, all we need to do is plug the slope and the new point into our point slope equation to get [tex]y-1=-\frac{2}{3} (x+3)[/tex].

If you needed to go further and put this into slope-intercept form, you could solve the equation for y to get [tex]y=-\frac{2}{3}x+-1[/tex]

A line intersects the points
(7,6) and (11, -6).
What is the slope of the line in
simplest form?
m = [?]

Answers

Answer:

[tex]m=-3[/tex]

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute and calculate

                   [tex]x_1=7[/tex]  

                   [tex]x_2=11[/tex]

      [tex]Substitute[/tex]        [tex]into\ m=\frac{y_2-y_1}{x_2-x_1}[/tex]

                    [tex]y_1=6[/tex]

                    [tex]y_2=-6[/tex]

Substitute

[tex]m=\frac{-6-6}{11-7}[/tex]

Calculate the sum or difference

[tex]m=\frac{-12}{4}[/tex]

Cross out the common factor
[tex]m=-3[/tex]

I hope this helps you

:)

Hello.

Let's use the slope formula in order to find the slope:

[tex]\bf{\displaystyle\frac{y_2-y_1}{x_2-_x_1}[/tex]

Where

y₂ = the y-coordinate of the second point (-6)

y₁=the y-coordinate of the first point (6)

x₂=the x-coordinate of the second point (11)

x₁=the x-coordinate of the first point (7)

Plug in the values:

[tex]\bf{\displaystyle\frac{-6-6}{11-7} =\frac{-12}{4} =-3[/tex]

Therefore, m (the slope) is equal to -3.

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Please click on this picture and explain why I got this answer wrong

Answers

Answer: $79.12

Step-by-step explanation:

We have to find total amount that was paid for dinner

5 people each order was worth $12.80

Therefore, total bill = 12.80*5

= $64

Tax: 7.5%

Therefore, the bill after tax was:

[tex]=64(\frac{100+7.5}{100})\\= 64(1.075)\\[/tex]

Bill with tax = $68.8

Gratuity = 15.0% of bill with tax

Therefore, gratuity = 0.15 * 68.8

= $10.32

Ended up paying in total = Gratuity + Bill with tax

= $68.8 + $10.32

= $79.12

help is needed here please and thank you!

Answers

the answer is 5827.273 make sure to cross multiply

[tex] \rm\frac{d}{dx} \left ( \bigg( \int_{1}^{ {x}^{2} {}{} } \frac{2t}{1 + { t}^{2} } dt\bigg) \bigg( \int_{ 1 }^{ lnx} \frac{1}{(1 + {t)}^{2} }dt \bigg)\right) \\ [/tex]​

Answers

Applying the product rule gives

[tex]\displaystyle \frac{d}{dx}\int_1^{x^2}\frac{2t}{1+t^2}\,dt \times \int_1^{\ln(x)}\frac{dt}{(1+t)^2} + \int_1^{x^2}\frac{2t}{1+t^2}\,dt \times \frac{d}{dx}\int_1^{\ln(x)}\frac{dt}{(1+t)^2}[/tex]

Use the fundamental theorem of calculus to compute the remaining derivatives.

[tex]\displaystyle \frac{4x^3}{1+x^4} \int_1^{\ln(x)}\frac{dt}{(1+t)^2} + \frac{1}{x(1+\ln(x))^2}\int_1^{x^2}\frac{2t}{1+t^2}\,dt[/tex]

The remaining integrals are

[tex]\displaystyle \int_1^{\ln(x)}\frac{dt}{(1+t)^2} = -\frac1{1+t}\bigg|_1^{\ln(x)} = \frac12-\frac1{1+\ln(x)}[/tex]

[tex]\displaystyle \int_1^{x^2}\frac{2t}{1+t^2}\,dt=\int_1^{x^2}\frac{d(1+t^2)}{1+t^2}=\ln|1+t^2|\bigg|_1^{x^2}=\ln(1+x^4)-\ln(2) = \ln\left(\frac{1+x^4}2\right)[/tex]

and so the overall derivative is

[tex]\displaystyle \frac{4x^3}{1+x^4} \left(\frac12-\frac1{1+\ln(x)}\right) + \frac{1}{x(1+\ln(x))^2} \ln\left(\frac{1+x^4}2\right)[/tex]

which could be simplified further.

y – 3(2y – 7) = 76

solve for Y!!

Answers

Answer:

y=-11

Step-by-step explanation:

Answer:

y = -11

Step-by-step explanation:

y – 3(2y – 7) = 76

y - 6y + 21 = 76

-5y + 21 = 76

-5y = 55

y = -11

correct answer gets brainliest

Answers

Answer:

Therefore If you exchange $522 for euros, then we will get 

Step-by-step explanation:

mark me brainliest!!

Answer:

412.38Є

Step-by-step explanation:

The answer is simple, since 1$ = 0.79Є, multiply 0.79 by 522, or the other way around, if you want.

0.79*522

=412.38Є

Hope it helped.

how many more grains of rice are in a fifty-pound bag of valencia rice than in a fifty pound bag of basmati rice

Answers

Fifty-pound bag of valencia rice has 3.2 * 10⁵ grains more than fifty pound bag of basmati rice

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A fifty pound bag of basmati rice has 1.1 * 10³ grains in each ounce of 8 * 10² ounce and fifty pound bag of valencia rice has 1.2 * 10⁶ grains

Difference in number of grains = 1.2 * 10⁶ grains - (1.1 * 10³ grains * 8 * 10² ounce) = 3.2 * 10⁵ grains

Fifty-pound bag of valencia rice has 3.2 * 10⁵ grains more than fifty pound bag of basmati rice

Find out more on equation at: https://brainly.com/question/2972832

what is -5½×2¾ ????​

Answers

Answer:

Mixed fraction:    -15  1/8

Improper fraction:   121/8

A rectangular table top has length 1.8 m and width 1.2 m.
A force of 600 N is applied to the whole table top.
Calculate the pressure in N/m2 to the nearest integer.

Answers

The equation of pressure is given by:

[tex]p = \frac{f}{s} [/tex]

where p is the pressure.

f is the applied force.

s is the surface area to which the force is applied.

I will start off by calculating the surface area of the table top given by:

[tex]s = l \times w = 1.8 \times 1.2 = 2.16[/tex]

s=2.16 m²

We know that f=400 N, that is given.

[tex]p = \frac{400 \: n}{2.16 \: m {}^{2} } [/tex]

Plug this on your calculator (excluding the units lol)

[tex]p = 185.185 \frac{n}{m {}^{2} } [/tex]

[tex]p = 185 \frac{n}{m {}^{2} } [/tex]

Evaluate the expression for the given value of x. 8x + 4 for x = 8 The solution is​

Answers

Answer:

68

Step-by-step explanation:

bidmas rule

8×8=64

64+68

Question 44 of 44
Which of these is an optional deduction for money to be taken out of an
employee's paycheck?
A. Federal income tax
B. Medicare
C. Life insurance
D. Social Security

Answers

Answer : Life Insurance

Explanation : Have A Good Day

◊ YusuCr ◊

The optional deduction for money to be taken out of an employee's paycheck is life insurance.

Option C is the correct answer.

What is an employee's paycheck?

An employee's paycheck is a document issued by an employer that lists the amount of money an employee has earned during a certain pay period and the amount of money that has been withheld for taxes, insurance, and other deductions.

It also includes the net amount of money that the employee is entitled to receive after all deductions have been made.

We have,

Life insurance is an optional deduction for money to be taken out of an employee's paycheck.

The other options listed (Federal income tax, Medicare, and Social Security) are typically mandatory deductions required by law.

Thus,

The optional deduction for money to be taken out of an employee's paycheck is life insurance.

Learn mroe about employee's paychecks here:

https://brainly.com/question/2819285

#SPJ7

what is the magnitude of an account of -218 Dollars ​

Answers

Hey there!

The magnitude of 218 will always be 218 because the absolute value of a positive number is always itself. The magnitude of -218 will be 218 as well because the absolute value of a negative number is the positive version of the number without the negative sign. You are essentially dropping or ignoring the negative sign.

Therefore, the magnitude of an account of -218 Dollars is 218 dollars

A 50 foot rope weighing a total of 32 lbs extended over a cliff that is 35 feet to the ground. A large 8 pound bucket with 19 gallons of water was tied to the end of the rope at the ground. A group of hikers at the top of the cliff lifted the bucket by pulling up the rope, but when the bucket reached the top, only 12 gallons of water remained (the water spilled out steadily on the way up). If water weighs 8.3 lbs. / gallon. write a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground, and use it to find the work to get the bucket to the top of the cliff.

Answers

Answer:

A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is [tex]W=16(50-x)+(19-\frac{x}{5})(8.3)x[/tex] and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

Step-by-step explanation:

Work done to lift the rope by distance x feet:

[tex]W_1=32(\frac{50-x}{2})[/tex]

Work done to lift the bucket by distance x feet:

[tex]W_2=(19-\frac{x}{5})(8.3)x[/tex]

On reaching top 7 gallons of water spilled out so , on going up by x feet [tex]\frac{7x}{35}=\frac{x}{5}[/tex] gallons of water spilled out.

a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

[tex]W=16(50-x)+(19-\frac{x}{5})(8.3)x[/tex]

Now the work to get the bucket to the top of the cliff i.e. x =35

[tex]W=16(50-35)+(19-\frac{35}{5})(8.3)(35)[/tex]

W=3726

Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is [tex]W=16(50-x)+(19-\frac{x}{5})(8.3)x[/tex] and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

What is the slope of the line that passes through the points (9, 5)(9,5) and (21, 1) ?(21,1)? Write your answer in simplest form.

Answers

Answer:

i know this but do not lol

Step-by-step explanation:

Answer:

did u mean to put (9,5) and (21,1) in there twice? but if so ur answer is m= -1/3

TRY USING SYMBOLAB I USE ALL THE TIME

Help ! What do we know about the slopes of two lines if we are told that the lines are parallel?

Answers

Answer:

they have the same slope

Step-by-step explanation:

because if they are parallel they have the same slope

Let f be the continuous function defined on [-6,6]. Let g be the function given by g(x) = [tex]\int\limits^x_{-1} {f(t)} \, dt[/tex] . Write an equation for the tangent to the graph of g at x=4

Answers

Answer:

[tex]\displaystyle h(x) = x-\frac{13}{2}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle g(x) = \int_{-1}^x f(t)\, dt[/tex]

And we want to write the equation for the tangent to the graph of g at x = 4.

First, determine g(4):

[tex]\displaystyle \begin{aligned} g(4) & = \int_{-1}^{(4)} f(t)\, dt \end{aligned}[/tex]

This is equivalent to the area of f from -1 to 4:

[tex]\displaystyle \begin{aligned} g(4) & = \frac{1}{2}(2)(3) + \frac{1}{2}(2)(-3)+\frac{1}{2}(-3+(-2))(1) \\ \\ & = \frac{1}{2}(6-6-5) \\ \\ & = -\frac{5}{2}\end{aligned}[/tex]

Note that areas under the x-axis are negative.

Find g'(4):

[tex]\displaystyle \begin{aligned} g'(x) = \frac{d}{dx}\left[ \int_{-1}^x f(t)\, dt\right]\end{aligned}[/tex]

By the Fundamental Theorem of Calculus:
[tex]\displaystyle \begin{aligned} g'(x) & = f'(x) \\ \\ g'(4) & = f'(4) \\ \\ & =1 \end{aligned}[/tex]

Note f is a line for 3 < x < 6 with a slope of 1.

Therefore:
[tex]\displaystyle \begin{aligned} h(x) -g(x_1) & = g'(x_1)(x-x_1) \\ \\ h(x) - \left(-\frac{5}{2}\right) & = (1)(x-(4)) \\ \\ h(x)& = (x-4) - \frac{5}{2} \\ \\ & = x - \frac{13}{2}\end{aligned}[/tex]

In conclusion, the equation of the tangent line is:
[tex]\displaystyle h(x) = x-\frac{13}{2}[/tex]

A hypothesis test in which rejection of the null hypothesis occurs for values of the
point estimator in either tail of the sampling distribution is called
a. The null hypothesis
b. The alternative hypothesis
c. A one-tailed test
d. A two-tailed test

Answers

The answer is going to be d) “A two-tailed test”. If I’m not mistaking.

In the triangle above, what is sin A

Answers

Answer:

[tex]\large\boxed{\sf sin(A)=0.5}[/tex]

Step-by-step explanation:

A right angled triangle is given to us and we would like to find out the value of sin(A) .

From the triangle we can see that the measure of angle BAC is 30° . Therefore ,

[tex]\longrightarrow A = 30^o[/tex]

On using sin both sides ,

[tex]\longrightarrow sin(A) = sin30^o[/tex]

As we know that the value of sin30° = 1/2. So;

[tex]\longrightarrow sin(A)=\dfrac{1}{2} [/tex]

Simplify by converting it into decimal ,

[tex]\longrightarrow \underline{\underline{sin(A) = 0.5}} [/tex]

Hence option B is correct .

And we are done!

A news organization interested in chronicling winter holiday travel trends conducted a survey. Of the 96 people surveyed in the eastern half of a country, 42 said they fly to visit family members for the winter holidays. Of the 108 people surveyed in the western half of the country, 81 said they fly to visit family members for the winter holidays. Construct a 99% confidence interval for the difference in population proportions of people in the eastern half of a country who fly to visit family members for the winter holidays and people in the western half of a country who fly to visit family members for the winter holidays. Assume that random samples are obtained and the samples are independent. (Round your answers to three decimal places.) z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576

Answers

Answer:

(-0.481 , -0.144)

Step-by-step explanation:

Confidence Interval for difference is proportion formula is given as:

p1 - p2 ± z ×√[p1(1 - p1)/n1 +p2 (1 - p2)/n2]

For p1

Of the 96 people surveyed in the eastern half of a country, 42 said they fly to visit family members for the winter holidays.

n1 = 96 people

p1 = x/n

x = 42 people

p1 = 42/96

= 0.4375

1 - p1 = 0.5625

For p2

Of the 108 people surveyed in the western half of the country, 81 said they fly to visit family members for the winter holidays.

n2 = 108 people

p2 = x/n

x = 81 people

p2 = 81/108

= 0.75

1 - p2 = 0.25

99% confidence interval = 2.576

p1 - p2 ± z ×√[p1(1 - p1)/n1 +p2 (1 - p2)/n2]

= 0.4375 - 0.75 ± 2.576 ×√[0.4375(1 -0.4375)/96 +0.75 (1 - 0.75)/108]

= -0.3125 ± 2.576 × √0.4375× 0.5625/96 + 0.75 × 0.25 /108

= -0.3125 ± 2.576 × √0.0025634766 + 0.0017361111

= -0.3125 ± 2.576 × √0.0042995877

= -0.3125 ±2.576 × 0.0655712414

= -0.3125 ± 0.1689115178464

Confidence Interval

-0.3125 - 0.1689115178464

= -0.4814115178

Approximately to 3 decimal places = -0.481

= -0.3125 + 0.1689115178464

= -0.1435884822

Approximately to 3 decimal places = -0.144

Therefore, the 99% confidence interval for difference in proportion = (-0.481 , -0.144)

Find the LCD for the following pair of fractions 1/10 and 17/45

Answers

Answer:

Step-by-step explanation:

LCD: 90

10: 10, 20, 30, 40, 50, 60, 70, 80, 90

45: 45, 90

9/90 and 34/90

Other Questions
Which of the following lines is perpendicular to the line y = 5x +9? Y= -1/5x - 7 Y= 5x - 1/9 Y= -5x +1 Y= 1/5x + 9 a large container contains 5 gallons of water. it begins leaking at a constant rate. After 20 mins, the container has 1 gallon of water left. At what rate is the water leaking? 1. For the following decide if they are density dependent (size matters) or density independent (size doesnt matter will happen anyway) (Population Growth slideshow 16/17)a. Weather (snow, rain, drought)b. Predationc. Competitiond. Natural disasters (hurricane/tornado/earthquake/floods/drought)2. Define Carrying capacity (Population Growth slideshow 10-14)3. HIghlight the factors that would be affected if a population would be near carrying capacity: unlimitedfood, limited space/shelter (habitat), unlimited water, disease, predation, competition (PopulationGrowth slideshow 12/13, 16/17)4. When given a table of the following numbers of a species, determine the carrying capacity: 100, 97,100, 101, 99, 100, 98. (Population Growth slideshow 12)5. Briefly describe a predatory/prey boom bust graph. (Population Growth slideshow 18)6. For the following decide if they are abiotic (non living) or biotic (living): (ecology slide show slide 3)e. Food f. Diseaseg. Human activities (deforestation, dams) NOTE: Human activities are anything involving humans and can include use of pesticides, herbicides, our contribution to climate change, habitat loss and destruction, poaching/hunting, etc. a. Bacteriab. pH levelc. fungusd. plantse. oxygen availabilityf. Sunlightg. waterh. animals/parasites/predators i. pollution7. Be able to apply the 10% rule when given a pyramid or a food chain/web (ecology slideshow 20-23) Remember just move the decimal point 1 time for each step. The other 90% of energy is lost as heat energy.In the following food chain what amount of energy does the snake have if the seed starts with 29345 kcal of energy?Seedmousesnake hawk.Remember the further away from the plant (autotroph) the less energy you have. Bacteria feed on anything that dies.8. What type of energy is lost during food chains/webs? (HInt 10% rule, plants give energy to animals then they give energy to bacteria when they die (bodies decomposed)) this element has a mass of 500.5 g. How muchvolume does it have? The population of grizzly bears in a remote area is modeled by the function P(t) = (200t - 120)/(t + 0. 5) where t = 1 1represents the year 2001 t = 2 represents the year 2002and so onthe model to predict the number of grizzly bears born in the year 2018. (Use the table from The power to establish post offices and post roads is held at which of the levels of government listed below? Write in the given rational numbers into the correct order line from least to gratest-2/3, 7/8, -4/5 7/10, and -4/3Pls hurry yall The half-life of a radioactive substance is the time it takes for half of the substance to decay. The half-life of one form of rhodium, Rh-106, is about 30 seconds. If you start with 100 grams of Rh-106, how much will be left after 4 minutes? The buyer for a chain of stores purchased leather couches in bulk, paying $750 each. The stores will sell each leather couch for $1,275. What is the mark-up percentage? Which of the following properties are unique to electromagnetic waves? How does oxygen enter the bloodstream?a) It passes through the cell membranes of the esophagus.b) It does not enter the bloodstream.c) It passes through the cell membranes of the bronchial tubes.d) It passes through the cell membranes of the alveoli. Find the measure of x. PLEASE HELP ASAP. WILL MARK BRAINLIEST Should the United States pass a balanced budget amendment? Explain your answer. is KBr a covalent or ionic compound III. Rewrite the sentences as directed. (1,5 pts)1. They will send rescue workers to flooded villages.=> Rescue workers __________________________________________________________2. There was a loud noise next to my door last night, so I couldnt sleep.=> Because ________________________________________________________________3. The storm destroyed many houses in this village last week.=> Many houses ____________________________________________________________4. Study hard and you will pass the exam.=> If __________________________________________________________________5. After Lan had done all homework, she went to bed.=> Before __________________________________________________________________ A person's regular Class C driver license allows them to legally drive a motorcycle.TrueorFalse Why do phospholipids make a phospholipid bilayer with the heads facing out towards water and the tails facing each Match each table of information to its constant of proportionality. A cube is 5 feet on each side. What is its volume?125 ft 3150 ft 325 ft 350 ft 3 James has 858 feet of rope. There are 18 teams of hikers.If James gives an equal amount of rope to each team, how much rope will each team receive?Each team will receivefeet of rope.Also simplify.