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

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

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-

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

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).

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.

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

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


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%


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:

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:).

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

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.

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

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

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

Answers

Answer:

0.044 11/250

Decimal Fraction

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

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

Evaluate 2^-5

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

Answers

Answer: B

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:

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

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

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

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

Answers

Answer:

12$

Step-by-step explanation:

2.4*5=$12

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

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....

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.

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:

What is -2.63 + 3 1/4

Answers

Answer:

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

.

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