Jordan will hike the trail at a rate of 4mph. Write a linear equation to represent the distance Jordan still has to walk after x hours what does the y intercept represent

Answer:

\(360xy^2|xz^3|\)

Step-by-step explanation:

Given expression:

\(12x \sqrt{900x^2y^4z^6}\)

\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}\)

Replace 900 with 30² :

\(\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}\)

\(\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}\)

\(\implies 360x|x|\sqrt{y^4}\sqrt{z^6}\)

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\(\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:\)

\(\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}\)

Simplify:

\(\implies 360xy^2|xz^3|\)

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

We follow the inclusive rule, The answer to the question is (A) that is

if y>=10 and y <=50

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.

The intervals used are:

(a , b) , All the numbers between a & b without including them.

[a, b] , All the numbers between a & b including them.

y lies in [10,50].

And since it means that it includes 10 and 50 and all the numbers between them.

The final answer is (A) that is if y>1=10 and y <=50.

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Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

Answer:

33

Step-by-step explanation:

45 - + 14 is 45 - 14 is 33

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

The first option

Step-by-step explanation:

They have the same shape and the second y-intercept is -3

Answer:

earning the money,depositing the money, and spending the money.

you worked all week to earn the money.

You deposit your money in your account.

You spent some money at American eagle.

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

Answer:A decrease of 20%.

First we must subtract out new total from our old total.

9390 - 7512 is 1878. This means that there is a difference of 1878. Next we must divided both 7512 and 1878 into 9390.

7512/9390 is 0.8 & 1878/9390 is 0.2

As a percentage that is 80% and 20%.

This means that the new amount of sugar only makes up 80% of the old amount. That means that there was a decrease of 20% of kilograms of sugar.

I hope this helped & Good Luck <3 !!!

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Answer:

187

Step-by-step explanation:

1870/210=187

Also / means divide

Answer:

c).3

Step-by-step explanation:

let the number be x

5x-3=x+9

collect like terms

5x-x=9+3

4x= 12

divide both sides by 4

x=3

the number is 3

Answer:

104.65 m

Step-by-step explanation:

The plane with the smaller angle of depression is closer to the raft.

Taking the tan values of both planes :

Plane 1 (57°)

Plane 2 (48°)

Equate Equations 1 and 2 :

Taking the sin ratio to find distance :

Answer:

27-t times 3

27- 6 times 3

27-18

9

Answer:

A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:

1/p + 1/7 = 1/5

Multiplying both sides by 35p, we get:

35 + 5p = 7p

Simplifying and rearranging, we get:

2p = 35

Therefore, the distance from the lens to the object, p, is:

p = 35/2 cm

B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:

1/q = 1/f - 1/p

Substituting f = 5 cm, we get:

1/q = 1/5 - 1/p

Multiplying both sides by 5qp, we get:

5p = qp - 5q

Simplifying and rearranging, we get:

q = 5p / (p - 5)

Therefore, the expression that gives q as a function of p is:

q = 5p / (p - 5)

C. Here is a sketch of the graph of q(p):

The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.

D. Taking the limit of q as p approaches infinity, we get:

lim q(p) = 5

This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.

Taking the limit of q as p approaches 5 from the positive side, we get:

lim q(p) = -infinity

This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.

In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.

Given two points,

(x1, y1) = (-1, 3)

(x2, y2) = (3,3)

Let m be the slope of the line. Then the slope can be calculated as,

Thus the slope is 0.

Answer:

36 cm squared is the anwer

Answer:

96cm²

Step-by-step explanation:

you must find the surface area of each side then add it all up

r=4, -2+2i√3, 2-2i√3

Answer:

\(\frac{-4+-\sqrt{-48} }{2}\)  that's it. Also the +- is plus or minus i just don't know how to add in there:) hope this helps

Step-by-step explanation:

Answer:

5 and 13

Step-by-step explanation:

I got it right on edge

Answer:

5 and 13, got in right in edge 2020

Step-by-step explanation:

Answer:

slope: 5

y-intercept: -4

Answer:

Step-by-step explanation:

It wants us to find the percent of decrease.

First we find how much it is decreased, 40-15=25

Then we find out what percent is the 25(decreased amount) out of 40 by division.

25/40=5/8=0.625

25 is 0.625 of 40 which means that 15 is a 62.5% decrease from 40.

*Important: this problem is asking for the percent of decrease not the remaining percentage. This means that the answer is 62.5% instead of 37.5%

Answer:

3.......................

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:  Option (E)

4,  4√3

===========================================================

Reason:

The hypotenuse is 8. Half of that is 8/2 = 4, which is the value of "s".

This is the short leg of the right triangle. The short leg is opposite the 30 degree angle. Smallest side opposite the smallest angle.

Then use this 30-60-90 triangle template formula

\(\text{long leg} = (\text{short leg})*\sqrt{3}\\\\\text{long leg} = 4\sqrt{3}\\\\\)

Answer:

$828.75

Step-by-step explanation:

Mobile Phone costs : $975

Discounted Price :-  ( $975 * 15% = 146.25   ,     $975 - 146.25 = 828.75 )

So the phone would cost $828.75 after the discount.

Answer:

Step-by-step explanation:

A) if she starts with $61 in her saving account, write an inequality to show how much she wants to have.

- Starts with $61

- Wants AT LEAST $1500

$61 <  $1500

B) how much does Kindra need to save?

If she already has $61 and she needs to get at least $1500, subtract to find out how much more she needs.

$1500 - $61 = $1,439 (she needs to save at least $1,439 more)

$1500 > $1,439

The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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