The depth y (in inches) of a lake after x years is represented by the equation y=0.2x+42 . How much does the depth of the lake increase in four years

Answers

Answer 1

Answer:

42.8 in

Step-by-step explanation:

Step one:

given data

we are told that the expression for the depth of a lake after x years is given by

[tex]y=0.2x+42[/tex]

Required

The value of y when x= 4

Step two:

substitute the value of x in the expression to get y

[tex]y=0.2(4)+42\\\\y=0.8+42\\\\y=42.8\\\\[/tex]

After 4 years the depth will increase by 42.8 in


Related Questions

a person ate 2400 calories in a day. of these 36% came from fat. how many calories came from fat?

Answers

Answer:

864 is the answer

T is 375 miles from San Francisco to Los Angeles. On a map of California, the scale shows that 2 centimeters equals 10 actual miles. How far apart on the map are the two cities?

Answers

Answer:

75 cm

Step-by-step explanation:

the ratio of centimeter to miles is 2:10 or 1:5 (1 cm = 5 mi)

this ratio can be changed to a fraction (1/5)

so now we can set up this equation:

(1/5) = (x/375)

where x = cm on the map

if it makes it easier to understand:

(1cm/5mi) = (xcm/375mi)

now we solve for x:

375(1/5) = x

x = 375/5

x = 75 cm

The area of a rectangular door is 21 ft. Sq. The border around the door is 20 feet. What is the length and width of the door? Use the factors of 21 to help you find the area of the door first.

Answers

Answer:

Length = 7 feet, and width is 3 feet.

Step-by-step explanation:

For the given rectangular door,

area = length x width

21 = length x width ................. 1

Also,

perimeter = 2 ( length + width)

20 = 2 ( length + width)

10 = length + width ............ 1

Given that the factors of 21 are required to get the are of the door.

Then, from equation 1;

21 = 7 x 3

And from equation 2;

10 = 7 + 3

So that, the length of the door is 7 feet and its width is 3 feet.

What is the pattern?
1, 4, 2, 8, 4, 16, 8, 32, ... _____

Answers

Answer:

multiply by 4 divide by 2

Step-by-step explanation:

Answer:

The pattern is multiply by 4 then divide by 2.

Step-by-step explanation:

1, 4, 2, 8, 4, 16, 8, 32, 16, 64, 32, 128... So on, So on

They are multiplying by 4 then dividing by 2, multiply by 4, divide by 2... so on, so on

Are the given ratios proportional?
4
9
11
5
yes
Or No

Answers

Answer:

No, there is no sequence to be followed here.

Step-by-step explanation:

No they have absolutely no correlation

PLEASE HELP ME URGENT I BEG OF U WILL MARK AND 5 STARS

Answers

Answer:

the answer is (A)

Step-by-step explanation:

a complementary angle is 90 degrees


The quadratic function f(x) has real coefficients. Given that f(3 - 2i) = 0, what must be the
other solution to the equation f(x) = 0 ?

Answers

Answer:

Option (C)

Step-by-step explanation:

Conjugate root theorem:

If (a - bi) is a root of a polynomial with real coefficients, then (a + bi) will be the other root.

By this theorem, if (3 - 2i) is one root of the quadratic function 'f', other root will be (3 + 2i).

Therefore, x = (3 + 2i) will be the other root.

Option (C) will be the answer.


Graph the line 2y-6x+4=0 on Tell me the slope and y-intercept
sloper
y intercept=
Blank 1:
Blank 2:

Answers

Answer:

Slope: 3

Y-intercept: (0, -2)

Step-by-step explanation:

Evaluate 2^-5

A. -32
B. 1/32
C. -1/32
D. 32

Answers

Answer: B

Step-by-step explanation:

A sign on the road says: "Speed limit, 60 miles per hour."Let s be the speed of a car. Write an inequality that matches the information on the sign .Could 60 be a value of s? Explain your reasoning.

Answers

Answer:

s ≤ 60 mph

Step-by-step explanation:

Speed limit is given in order not to exceed it

Therefore the equation would be:

s ≤ 60 mph

s = 60 is allowed as per the equation, since you are not exceeding this speed.  As per the rule, s = 60 mph is the maximum speed at which the vehicle is permitted to travel.

Answer:

Step-by-step explanation: h

A recipe for a dozen iced cookies calls for 2 1/4 cups flour. Which can be used to determine the amount of flour needed to make 32 cookies?

Answers

Answer:

You can form a proportion to solve this problem.

Step-by-step explanation:

The proportion can look like this (there are other ways to write an equal proportion but this is just one of the ways you could go about it :)

[tex]\frac{2.25}{12}[/tex]=[tex]\frac{x}{32}[/tex]

12x=72

x=6 cups of flour

Hope this helps!! :)

Answer:

You can form a proportion to solve this problem.

Step-by-step explanation:

The proportion can look like this (there are other ways to write an equal proportion but this is just one of the ways you could go about it :)

=

12x=72

x=6 cups of flour

The sides of a rectangle are scaled to be 1/4 of their original size

What describes the effect of the scaling on the surface area?


A. The surface area of the new prism is 1/4 as large as the original prism.

B. The surface area of the new prism is 1/8 as large as the original prism.

C. The surface area of the new prism is 1/16 as large as the original prism.

d. The surface area of the new prism is 1/24 as large as the original prism.

Answers

The answer is in fact D

Express 4 2/5% as a decimal and a fraction
ASAP pls

Answers

Answer:

0.044 11/250

Decimal Fraction


In the diagram, what is AC?
A. 6
B. 12.33
C. 10
D. 12

Answers

Answer:

C

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

C. 10

Step-by-step explanation:

I just took the test on edmentum and got a 100%

Lisa wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then employed the results and connected them with a line, as shown in the picture. The graph shows the area (in m2) versus the length (in m)
a. Domain:
b. Range

(Sorry I keep asking so many questions it’s because these questions are questions of things I have NEVER learned at all yet and it is a new module. When people explain and show me the work I write them in my book with the explanations as well when people put them down and that is how I start to learn this ahead of time.)

Answers

Answer:

Domain: interval: [0,∞], Words: All real numbers greater than or equal to 0, Inequality: x≥0.

Range: interval: [0,∞], Words: All real numbers greater than or equal to 0, Inequality: y≥0.

The domain and range of the function shown is

domain  [tex]x\geq 0[/tex]

range [tex]y\geq 0[/tex]

Given :

The graph of  the area of a rectangle changes with the length if it’s width is fixed

We need to find out the domain and range from the given graph

Domain is the set of x values on the graph

We can say the graph starts at x=0  and it goes up to infinity

So, domain is [tex]x\geq 0[/tex]

Range is the set of y values for which the function defined

Range is the set of y values on graph

When we look at y values , the graph starts at y=0 and it goes up to infinity

So, range is [tex]y\geq 0[/tex]

Learn more :  brainly.com/question/17013026

martha invested $41.25 into a company. if each share was worth $1 1/4 how many shares did Martha invest in the company

Answers

Answer: 33 shares

Step-by-step explanation:

Amount invested in the company = $41.25

Price per share = $1 1/4 = $1.25

To calculate the amount of shares that Martha invested in the company will be:

= Amount invested in the company/Price per share

= $41.25/$1.25

= 33 shares

Martha invested 33 shares in the company.

Question 3 0.6 pts The following two right triangles are similar.If side CB = 33. side AB = 12, and side DE - 4. what is the length of side FE? A 12 D 4 E B F 33?​

Answers

Answer:

EF = 11

Step-by-step explanation:

AD/DE = 3

Therefore, DC/3 = EF

33/3 = 11

Please help me? Solve for x

Answers

Answer:

3

Step-by-step explanation:

15x

15

the 15 cancels out then you have

15/5 which is 3

See the attachment....

On a recent test, you were given the table displayed and
asked to write the rule that models it.
What should the rule be for the table?
O Subtract 6 from the x value to get the y value.
O Multiply the x value by 1/2 to get the y value.
O Multiply the x value by 1/4 to get the y value.
O Add 6 to the value to get the y value.

Answers

9514 1404 393

Answer:

  A.  Subtract 6 from the x value to get the y value.

Step-by-step explanation:

Sometimes, it works well to simply try the answers to see what works. Sometimes, it works better to use a point other than the first or second.

Using the last point (x, y) = (16, 10), we can try the rules:

  subtract 6 from x: 16 -6 = 10 . . . this rule works

  multiply by 1/2: 16×1/2 = 8, not 10 . . . doesn't work

  multiply by 1/4: 16×1/4 = 4, not 10 . . . doesn't work

  add 6 to x: 16 +6 = 22, not 10 . . . doesn't work

The only rule that works is ...

  Subtract 6 from the x value to get the y value.

_____

Additional comments

You cannot always assume the table represents a linear function. In this case, all of the answer choices are linear functions, so that is a reasonable assumption. The x-values all have the same difference: 4. The y-values also all have the same difference: 4. So the slope of the line is 4/4 = 1, which tells you right away that "multiply by 1/2" and "multiply by 1/4" will be wrong.

The x-values are all greater than the y-values, so "add 6 to the x value" will not be correct. Since the slope is 1, the difference between x and y will be a constant, easily found from any table entry.

  y = x + b . . . . equation of a line with a slope of 1

  2 = 8 + b . . . . using the first table entry

  -6 = b . . . . . . . subtract 8

Then ...

  y = x - 6

Answer:

summing up what the other person said,

its a, i also did this on edge 2021,

so i can confirm:).

The price of a technology stock was $9.61 yesterday. Today, the price rose to $9.72. Find the percentage increase. Round your answer to the nearest tenth of a percent. % Х $ ?​

Answers

Answer:

-1.31979695431% Round to nearest tenth its 1.3%

Step-by-step explanation:

Joshua has a box of oranges. Three of the oranges are rotten. If 15% of the oranges are rotten, how many oranges are in the box?

Answers

I think its 15 ... because there are 12 good ones and 3 bad ones and if you add those it equals 15

Answer:

20 oranges

Step-by-step explanation:

How do you-
I cant think t-t

help

Answers

Answer:

4

Step-by-step explanation:

9x= 4x+20

5x=20

x=4

The answer should be 4 I think-

1.5 ounces cost 2.40
How my much will 5 ounces cost?

Answers

Answer:

12$

Step-by-step explanation:

2.4*5=$12

If anyone plays pokemon go if you do put it in your answer

Answers

Answer:

I play Pokemon Go everyday! I play Pokemon Gooooo :)

Step-by-step explanation:

Answer: My teacher does

Given A(2, 3), B(8, 7), C(6, 1), which coordinate will make line AB perpendicular to line CD?
D(9, 3)
D(4, 4)
D(3, 3)
D(8, 4)​

Answers

Answer:

The correct option is;

D(4, 4)

Step-by-step explanation:

The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB

The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, for, the segment AB, we have;

m = (7 - 3)/(8 - 2) = 4/6 = 2/3

m = 2/3

Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2

The equation of the segment CD in point and slope form is therefore;

y - 1 = -3/2×(x - 6)

y - 1 = -3·x/2 + 9

The standard form of the equation of the segment CD is therefore;

y = -3·x/2 + 9 + 1 = -3·x/2 + 10

y =  -3·x/2 + 10

The point that satisfies the above equation is the point (4, 4) because;

4 =  -3 × 4/2 + 10

The correct option is therefore, D(4, 4).

can someone help me:) thank you!​

Answers

A hope this helps!!!!!

Answer:

C) 11

Step-by-step explanation:

It would need to be more than 5....and that is the only one.

Given the following formula, solve for y
w=x-y/2 -z

A. y=2w+z-x
B.y=x-2(w+z)
C.y=x-(2w+z)
D.y=2(w+z)-x

Answers

Answer:

Step-by-step explanation:

w=x-y/2-z

y=-2w+2x-2z

Consider the triangle.
Which shows the order of the angles from smallest to
largest?
A
22
12
B
angle angle B, angle C
angle B, angle A, angle C
angle B, angle C, angle A
angle C, angle A, angle B
16
С

Answers

Answer:

B. A. C. are the angle

Step-by-step explanation:

B is an acute angle a is a slightly bigger acute angle and c is a right angle. this was by me just looking at it so...

Answer:

angle AC= 12, angle CB= 16, angle BA= 22

Step-by-step explanation:

the numbers are between the angles

What is -2.63 + 3 1/4

Answers

Answer:

5.88.........................

.

Part A
Select the correct choices to complete the sentence.
Jarvis bought 2 beach towels and 3 pairs of swim trunks at a retail store. Each beach towel costs $3 less than a pair of swim trunks. He spent a total of $79. Let s represent the cost of a pair of swim trunks.

Part B
Add the two expressions and set this sum equal to 79 to model the situation with an equation. Solve for s . What is the cost of one pair of swim trunks?

Answers

A)  The equation that represents the cost of a pair of swim trunks is;

2(s - 3) + s = 79

B) The cost of a pair of swim trunks is; $28.33

How to solve Algebra Word Problems?

Algebraic word problems are defined as questions that require translation of sentences to equations, and thereafter solving those equations.

Let the cost of one pair of swim trucks be s.

We are told that Each beach towel costs $3 less than a pair of swim trunks. Thus;

Cost of each beach trunk = (s - 3)

Jarvis bought 2 beach towels and 3 pairs of swim trunks at a retail store. Thus, we have;

2(s - 3) + s = 79

2s - 6 + s = 79

3s = 79 + 6

3s = 85

s = 85/3

s = $28.33

Read more about Algebra Word Problems at; https://brainly.com/question/28339921

#SPJ1

Other Questions
Please help ASAP !Which historical event BEST demonstrates the operation of checks and balances? A) The Senate approved the appointment of Clarence Thomas to the Supreme Court.B) South Carolina seceded from the Union over the issues of slavery and States rights. C) President George Washington used the Army to suppress a tax rebellion by Pennsylvania farmers. D) President Dwight D. Eisenhower sent Federal troops to enforce the integration of public schools in Little Rock, Arkansas. given f(x)=-x+2 find f(-1) Is this a metaphor, Unpopularity is contagious, and you can catch it the same way you catch the FLU or bad dancing? Yes or NoIs this a simile, Honestly, though, I don't believe that unpopularity is a real force of Nature, like gravity or deliciousness? Yes or No , . Read the passage.From Letter from Birmingham City Jail I must close now. But before closing I am impelled to mention one other point in your statement that troubled me profoundly. You warmly commended the Birmingham police force for keeping order and preventing violence. I dont believe you would have so warmly commended the police force if you had seen its angry violent dogs literally biting six unarmed, nonviolent Negroes. I dont believe you would so quickly commend the policemen if you would observe their ugly and inhuman treatment of Negroes here in the city jail; if you would watch them push and curse old Negro women and young Negro girls; if you would see them slap and kick old Negro men and young Negro boys; if you will observe them, as they did on two occasions, refuse to give us food because we wanted to sing our grace together. Im sorry that I cant join you in your praise for the police department.What is the main idea of the passage?The protesters deserve the violent treatment.The police treat the protesters violently.The protesters treat the police disrespectfully.The police deserve praise for their behavior. Please please please do it fast If it is 5:30pm at 120W, what time is it at the Prime Meridian? People who believe that the role of government should be very minimal and should protect our individual freedoms would most likely belong to the _________________.Immersive Reader (1 Point) Communist Party Socialist Party Libertarian Party Democratic Party Why does it pay to get on a journalists good side?It could lead to more negative press.It could lead to less negative press.It could lead to special favors.It could lead to increased popularity. Why did the sinking of a British ship move American to war? 3n to the 2nd power+2 Tanisha says that the Moon looks dark from Earth when the Moon is in two different places: always when it is closest to the sun, as in Top View #1, and always when it is furthest from the sun, as in Top View #2. Is Tanisha correct? If she is correct, explain why the Moon always looks dark from Earth in both of these positions. If she is incorrect, explain when the Moon looks dark from Earth and how the light on the Moon should look in each of Tanishas diagrams. What was Teddy Roosevelts famous phrase?(a) speak softly and carry a big stick(b) everythings coming up roses(c) Ask not what your country can do for you(d) I have a dream ( all answer choices are the same)Complete with the appropriate word9. Tienede cabeza porque tiene mucho estrs. *10. El mdico lela medicina para la tos,11. Mi amigo es muy simpatico. Es una persona muy12. Mi hermano no tiene mucha paciencia. l es NEED HELP THIS IS TIMED WILL MARK BRAINIEST!!! Which item belongs to one of the five food groups in the USDA's MyPlate Food Guidance System?A. oatmeal cookieB. milkC. olive oilD. salt can someone help me with this please !! Facts about Reservoir 2 facts please !! which catholics are called to read and pray with the scripture Bilbo's ancestry is important because...A. his family traits pull him in opposite directionsB. Bilbo prefers the "Took" sideC. he was influenced by his mother, who was cautious8. Bel was efficenced by his mother, who was cautiou!