Please help me solve this. And please include explanation​

Answer:

50,373 feet

Step-by-step explanation:

tan 15° = 13500 / x

.268 = 13500 / x

x = 50,373

Answer:

Step-by-step explanation:

Given formula:

Solving for n:

[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]

where, n =number of sides of polygon

S =sum of the degree measures of the interior angles of the polygon

Answer:

Hi! The correct answer is y = 5

Step-by-step explanation:

~Solve for the first variable in one of the equations, then substitute the result into the other equation~

Answer:

1. The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

2. The distance between the points (-3,8) and (-4, -2) is 10.04

Step-by-step explanation:

1. Which of the following is the correct form of the distance formula?

The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

2. Use the distance formula to find the distance between the points (-3.8) and (-4. -?)

Note: Since the y-term in (-4,-) is missing So, I am using -2 to solve the question and find distance. You can use the term given in question and replace it with -2 and use this solution as reference to solve and find the correct answer.

We have points (-3,8) and (-4,-2)

Putting values in distance formula and finding result:

[tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have x_1=-3, y_1=8, x_2=-4, y_2=-2

[tex]Distance=\sqrt{(-2-(-3))^2+(-2-8)^2}\\Distance=\sqrt{(-2+3)^2+(-2-8)^2}\\Distance=\sqrt{(1)^2+(-10)^2}\\Distance=\sqrt{1+100}\\Distance=\sqrt{101}\\Distance=10.04[/tex]

So, the distance between the points (-3,8) and (-4, -2) is 10.04

Answer:

y = 45 + 0.15x

Step-by-step explanation:

$45 is the initial cost

0.15 is the cost for each mile

we dont know the miles so miles is x, unknown

Answer:

The perimeter of square will be 18 units

Step-by-step explanation:

We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )

When point D is placed on this perimeter.

We have to find the perimeter of the square.

First we have to find the side of square by using the distance formula

Distance formula

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of A=(-5/2,3/2)

Coordinates of B=(-5/2,-3)

Length of side AB=[tex]\sqrt{(-5/2+5/2)^2+(-3-3/2)^2}[/tex]

Length of side AB=[tex]\sqrt{0+(-9/2)^2}[/tex]

Length of side AB=9/2 units

Now, the perimeter of square=4 (side)

Using the formula

Perimeter of square=4(9/2)=18 units

Answer:

B

Step-by-step explanation:

i did the same test

Answer:

The best inequality describes the possible length of EG is 32 < EG < 56 ⇒ B

Step-by-step explanation:

In any triangle

In Δ EFG

∵ EF = 44 cm

∵ FG = 12 cm

→ Find their sum and difference

∴ The sum of their length = 44 + 12 = 56 cm

∴ The difference between their length = 44 - 12 = 32 cm

→ By using the rule above

∵ EG is the third side

∴ EG < 56

∴ EG > 32

→ Write them in one inequality

∴ 32 < EG < 56

∴ The best inequality describes the possible length of EG is 32 < EG < 56

Answer:0.03

Step-by-step explanation:

Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.

Step-by-step explanation:

Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.

With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.

Answer:

lesser x: - 6

greater x: 2

Step-by-step explanation:

f(x) = (x + 2)² – 16

(x + 2)² – 16 = 0

(x + 2 + 4) (x + 2 - 4) = 0

(x + 6)(x - 2) = 0

roots (zero): x = -6 or x = 2

Answer:number 14 is 8

Step-by-step explanation:

bc 5$ off all the bottles you bye is 2 dollars so keeps on counting the you get 8

Answer:

13.-16

14.-3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9

Answer:

-7/3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -7/3x + 5

Step 2: Break Function

Identify Parts

Slope m = -7/3

y-intercept b = 5

Answer:

change/original price X 100

22/88 X 100 = 25%

Answer:

-2

Step-by-step explanation:

f(x) = –x– 5

f(x) = -(-3)– 5

f(x) = 3– 5

f(x) = -2

Answer:

Answer is -2 because - * - = + 3-5=-2

Answer:

There ya go

Step-by-step explanation:

Answer:

15/2

Step-by-step explanation:

goodluck on the rest! (:

Answer:

A) On a graph, points (4, 10) and (6, 1) are outside of the cluster.

Answer:

A) The first option

Step-by-step explanation:

Answer:

3125 bacteria.

Step-by-step explanation:

We can write an exponential function to represent the situation.

We know that the current population is 100,000.

The population doubles each day.

The standard exponential function is given by:

[tex]P(t)=a(r)^t[/tex]

Since our current population is 100,000, a = 100000.

Since our rate is doubling, r = 2.

So:

[tex]P(t)=100000(2)^t[/tex]

We want to find the population five days ago.

So, we can say that t = -5. The negative represent the number of days that has passed.

Therefore:

[tex]\displaystyle P(-5)=100000(2)^{-5} = 100000 \Big( \frac{1}{32}\Big) = 3125 \text{ bacteria}[/tex]

However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.

We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:

[tex]P(t)=A(2)^t[/tex]

After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:

[tex]100000=A(2)^5[/tex]

And solving for A, we acquire:

[tex]\displaystyle A=\frac{100000}{2^5}=3125[/tex]

So, our function in terms of the original day is:

[tex]P (t) = 3125 (2)^t[/tex]

So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.

Answer:

We can express the question in a exponential function

The current population is 100,000.

The population doubles each day.

The exponential function is given by: P(t)=a(r)^t

The current population is 100,000, a = 100000.

The rate is doubling, r = 2.

P(t)=100000(2)^t

As we know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, the function is:

P(t)=A(2)^t

After 5 days, the population reaches 100,000. So, when t = 5, P(t) = 100000:

100000=A(2)⁵

Now solving for A, we get

A=(100000)/(2⁵)=3125

So, the function in terms of the original day is:

P (t) = 3125 (2)^t

Hence, the initial population is 3125 bacteria.

Answer:

Step-by-step explanation:

The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5

Answer: x=9 1/3

Step-by-step explanation:

-5=-3x-33

-5+33=-3x

28=-3x

3x=-28

x=28/3

x=9 1/3

Answer: X=-28/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5=−3(x+11)

−5=(−3)(x)+(−3)(11)(Distribute)

−5=−3x+−33

−5=−3x−33

Step 2: Flip the equation.

−3x−33=−5

Step 3: Add 33 to both sides.

−3x−33+33=−5+33

−3x=28

Step 4: Divide both sides by -3.

-3x/-3= 28/-3

X=-28/3

have a nice day :)

Answer:

(0,4)

Step-by-step explanation:

When you are finding the y-intercept, the x = 0

y = -2x + 4

y = -2(0) + 4

  = 0 + 4

y = 4

Meaning y = (0,4)

[tex]\sf{\underline{Given:-}[/tex]

   [tex]~~~~~~~\bigstar\overbrace{The~equation~of~the~line}}[/tex]

[tex]\sf{\underline{To~find:-}}[/tex]

[tex]\bigstar{\overbrace{The~y-intercept~of~the~line}}\\\sf{\underline{Solution:-}}[/tex]

Since the equation is written in slope-intercept form (y=mx+b), then we just look at the b term, which stands for the y-intercept.

Notice that the y-intercept is a constant...

Hence, the y-intercept of the line is

[tex]\bigstar{\boxed{\pmb{4}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)

Here

f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³

g(x) = 2x + 3 ⇒ g'(x) = 2

Thus

[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2

    = 8(2x + 3)³

Answer:

C

Step-by-step explanation:

The x coordinate of the rest stop:

1/2 × (the sum of the x coordinates of the highschool and the stadium)

= 1/2 × (3+7)

= 1/2 × 10

= 5

The y coordinate of the rest stop:

- Same thing i did for the x coordinate, but use the y coordinates.

1/2 × (the sum of the y coordinates of the highschool and the stadium)

= 1/2 × (4 + 1)

= 1/2 × 5

=5/2

So the coordinate of the rest stop would be (5, 5/2).

Next for the distance, i used the pythagoras theory so it's like this:

a^2 + b^2 = c^2

Here you plot the highschool and the stadium on the coodinate plane, then connect the two dots to make a right triangle. The height of the triangle will be 3, and the base would be 4. So a=3, b=4 in the equation.

3^2 + 4^2 = c^2

9 + 16 + c^2

25 + c^2

c = 5

(Note that this isn't the real answer cuz at the end of the question it said that one UNIT equals 6.4 MILES.)

So the final answer is 5 × 6.4, which is 32. The answer is C.

Given:

The two endpoints are (4,5) and (4,-3).

To find:

The line segment between the given endpoints and the length of the line segment.

Solution:

Plot the given point and connect them by and straight line segment as shown in the below graph.

The distance between (4,5) and (4,-3) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]d=\sqrt{0+64}[/tex]

[tex]d=\sqrt{64}[/tex]

[tex]d=8[/tex]

Therefore, the length of the line segment is 8 units.