The water level, w, in feet, of a river after a rainstorm is a function of the time, t,
,
in hours, since the storm began. The table below shows the water level readings collected at different times
Choose the linear function that models the data in the table.

Answers

Answer 1

The water level in the river is an illustration of a linear function

The linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]

How to determine the equation of the water level?

From the complete question, we have the following table:

t      w

1     18.7

1.5  19.1

Start by calculating the slope (m)

[tex]m = \frac{w_2 - w_1}{t_2 -t_1}[/tex]

This gives

[tex]m = \frac{19.1 - 18.7}{1.5 - 1}[/tex]

Evaluate

[tex]m = 0.8[/tex]

The equation is then calculated as:

[tex]w = m(t - t_1) + w_1[/tex]

So, we have:

[tex]w = 0.8(t - 1) +18.7[/tex]

Expand

[tex]w = 0.8t - 0.8 +18.7[/tex]

[tex]w = 0.8t + 17.9[/tex]

Hence, the linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]

Read more about linear functions at:

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Related Questions

Hazel deposited $1,000 in her savings account. She earned 6.5% annual simple interest on the first $700 of her deposit and 3.5% simple interest on the remainder, How much interest did Hazel earn
after one year? (1 point)
O $45.00
O $51.00
O $56.00
O $65.00

Answers

Answer:

The answer is C. $56.00
Hazel earned $56.00 in interest after one year.

Step-by-step explanation:

700 x 6.5% =
700 x 0.065 = 45.5

300 x 3.5% =
300 x 0.035 = 10.5

45.5 + 10.5 = 56.00

Find the missing side length of the similar shapes.

Answers

Answer:

15

Step-by-step explanation:

because the sides 15, 25 are corresponding, sides 18, 30 are corresponding, 9 and x (unknown side) are corresponding.  here we discover that the ratio is 3:5 (15:25) and (18:30). so if the ratio of 9 to x is 3:5, the unknown side is 15.

Christopher plays quarterback for a
neighborhood football team. During
his team's first game, he executed
60 plays, 42 of which were successful.
What percent of Christopher's plays
were successful?

Answers

Answer:

70%

Step-by-step explanation:

[tex]42\div60[/tex]

Calculate

[tex]\frac{42}{60}[/tex]

Cross out the common factor

[tex]\frac{7}{10}[/tex]

Multiply a number to both the numerator and the denominator

[tex]\frac{7}{10}\times\frac{10}{10}[/tex]

Write as a single fraction

[tex]\frac{7\times10}{10\times10}[/tex]

Calculate the product or quotient

[tex]\frac{70}{10\times10}[/tex]

Calculate the product or quotient

[tex]\frac{70}{100}[/tex]

Rewrite a fraction with denominator equals 100 to a percentage

[tex]70[/tex]%

I hope this helps you

:)

I need help on number 4 please help!*Will mark Brainlest*

Answers

Answer:

i guess 3 rd option is correct. ........hope it helps u ♥♥♥♥

Altogether a torch and battery cost £2. 50
torch costs £2 more than battery how much does battery cost in the simplest for fraction

Answers

The battery costs 50 cents which I’m simplest form for a fraction is 1/2

The answer is 1/2

Please help!! greatly appreciated

Answers

I think the answer is 43.988

Answer:

Today: Sunday, 11 October 2020

Hour: 22.20 WIB (Indonesian)

_________________________

D = 14 cm

π = 3,142

Circumference = π × D

Circumference = 3,142 × 14

Circumference = 43.988 cm

The diameter of a circle is 28 millimeters. What is the circle's area

Use 3.14 for ​.

Answers

Answer:

615.44 mm²

Step-by-step explanation:

Before finding the area of the circle, first, let us find the radius of the circle.

Given that,

diameter ⇒ 28 mm

Therefore,

d = 2r

28 = 2r

Divide both sides by 2.

14mm = radius

                                           

And now, let us find the area.

The formula to find the area of the circle is :

Area = π r²

Let us solve now.

Area = π r²

        = 3.14 × 14 × 14

        = 43.96 × 14

        = 615.44 mm²

D and E are the mid-points of the sides AB and AC of ΔABC and O is any point
on side BC. O is joined to A. If P and Q are the mid-points of OB and OC
respectively, then prove that DEQP is a parallelogram.

Answers

Check out the diagram below.

Since D and E are midpoints of AB and AC this means midsegment DE is parallel to side BC. Furthermore, it means DE is parallel to PQ because PQ is entirely on BC.

---------

Note how I drew a line from A to O. This forms two triangles ABO and ACO

For triangle ABO, segment DP is a midsegment because D and P are midpoints of AB and OB respectively. This means side DP is parallel to side AO. Keep this in mind as we'll use it later.

For triangle ACO, segment EQ is parallel to AO because EQ is a midsegment for similar reasons as already mentioned (E and Q are midpoints of AC and OC respectively). So this must mean that AO is parallel to EQ

Now chain the arguments together: if DP || AO and AO || EQ, then DP || EQ by the transitive property.

-----------

In short, we've proven two things

DE is parallel to PQDP is parallel to EQ

This is enough to conclude that DEQP is a parallelogram. By definition, a parallelogram has two pairs of opposite parallel sides.

Answer:

Points

Step-by-step explanation:

PLEASE HELP ME!!! SOLVE FOR X!!! THANKS!!!!! (look at pic)

Answers

Answer:

x = 698.771

step-by-step explanation:

[tex]\sf \rightarrow \log _{2x}\left(5^{\dfrac{3}{2}}\right)=\dfrac{1}{3}[/tex]

apply ln rules

[tex]\sf \rightarrow \dfrac{\ln \left(5^{\dfrac{3}{2}}\right)}{\ln \left(2x\right)}=\dfrac{1}{3}[/tex]

cross multiply

[tex]\sf \rightarrow \ln \left(5^{\dfrac{3}{2}}\right)\cdot \:3=\ln \left(2x\right)\cdot \:1[/tex]

simplify using calculator

[tex]\sf \rightarrow 7.24247 = ln(2x)[/tex]

shift sides

[tex]\sf \rightarrow e^{7.24247 }= 2x[/tex]

divide both sides by 2

[tex]\sf \rightarrow 698.771= x[/tex]

Answer:

[tex]x=698.771[/tex]

Step-by-step explanation:

[tex]log_{2x} (5\frac{3}{2})=\frac{1}{3}[/tex]

[tex](5\frac{3}{2})*3=In(2x)*1[/tex]

[tex]7.24247=In(2x)[/tex]

[tex]e^{7.24247}=2x[/tex]

÷ [tex]2[/tex]           ÷ [tex]2[/tex]

[tex]698.771=x[/tex]

3
Justine and her friends went out for dinner Friday
night. The bill came to $76.96. If they split the bill
evenly and each person paid $19.24, how many
friends, including Justine, were at dinner?

Answers

Answer:

A total of four people

Step-by-step explanation:

Answer:

4

Step-by-step explanation

divide 19.24 from 76.96.

and that gives you how many friends

What is the cost, in dollars, for 1 box of pasta

Answers

Answer:

.99 cents. i think but for a pAck two dollars

Step-by-step explanation:

internet

Answer:

.99 cents. i think but for a pack two dollars

Step-by-step explanation:

absolute value of 3 ​

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.

Hope this helps and good luck!

please give me brainliest!

Round answer to the nearest cent
70% of $50

Answers

Answer:

$35

Step-by-step explanation:

You could just multiply

70 × .5

35

Help. (26. Is the question number.)

Answers

Answer:

9x^5*y^2*pi

Step-by-step explanation:

a = pi * r^2

a = pi * 9x^5y^2

a = 9x^5y^2pi

Let me know if you have questions or need help

tell whether the relationship is a proportional relationship ( explain why or why not)PLEASE, PLEASE HELP ME ANSWER IT RN IT IS DUE TODAY!!!

Answers

The answers is not proportional. The slope from point 1 to point 2 is 2/2 (rise/run) then from point 2 to point 3 it changes to 1/1 (rise/run) and point 3 to point for is 3/3 (rise/run) Even though reduced they are slope would be one we fractions are different and making the slopes different

Consider the system of equations.
2.+y=0
- 3x + 4y= 22
How do you solve the system of equations with Cramer's rule?
Drag a value or determinant expression into each box to correctly
solve the system using Cramer's rule.

Answers

Answer: See the attached image belowSolutions are x = -2 and y = 4

I've arranged the tiles into the correct positions, and wrote in the final result for each x and y.

The basic idea is to divide determinants as the vertical bars indicate (they aren't absolute value bars).

In each denominator is the determinant of the matrix [tex]\begin{bmatrix}2 & 1\\-3 & 4\end{bmatrix}[/tex] which are the coefficients of the left hand side of each original equation given to you.

-------------

The numerators are a slight variation of this matrix. The x determinant will have you replace the first column with 0 & 22 getting [tex]\begin{bmatrix}0 & 1\\22 & 4\end{bmatrix}[/tex] which helps figure out the x solution. The y solution is similar as well, but we replace the y column instead of the x column. So that explains the [tex]\begin{bmatrix}2 & 0\\-3 & 22\end{bmatrix}[/tex]

After you have the proper determinants set up, you just evaluate each determinant using the formula

[tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = a*d - b*c[/tex]

and then simplify the results.

What should i pick?!!

Answers

Answer:125x^6y^6 (Red)

Step-by-step explanation: To find the answer we need to do first 5^3 which is 125. Then according to exponent rule, we multiply the exponents inside by the exponent outside, so it would be x^6 and y^6.

It would be 125x^6y^6.

Hope this helps you!

A merchant offers a large group of items at 32% off. Later, the merchant takes 16% off these sale prices and claims that the final price of these items is 186 off the original price. What is the total percent discount?

Answers

The total percent discount offered by the merchant is 57.12%.

What is the total percent discount?

A discount is when the price of an items is reduced. It makes a good cheaper when a discount is applied.

The percent change in price after the first discount = 100% - 32% = 68%

The final price after the second discount = (100 - 16%) x 68%

= 57.12%

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

how many inches are in 10 yards? Please show all work and if i have to divide or multiply.​

Answers

Answer:

1 yard is 3 feet. There is 36 inches in a yard. There is 12 inches in a foot. Multiply 36 by 10 to get 360. There is 360 inches in 10 yards.

Step-by-step explanation:

Hope this helps! :)

have a blessed day and remember to keep smiling! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

A flagpole is 12 feet tall. Its shadow is 14 ft long. How far is it from the top of the
flagpole to the end of its shadow?

Answers

Answer:

Step-by-step explanation:

AC = length of flagpole = 12 ft

AB = length of shadow = 14 ft

BC = length from the top of the flagpole to the end of the shadow = x ft

Use Pythagorean theorem to find the length of x,

x² = AC² + BC²

   = 12² + 14²

  = 144 + 196

  = 340

x = √340

x = 18.4 ft

Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the
discriminant value, how many real number solutions does the equation have?
Discriminant = b2-4ac

Answers

Given -

x² + 4x + 1 = -3

To find -

the discriminant for the quadratic equation and to find how many real number solutions does the equation have. If it's discriminant = b² - 4ac

Concept applied -

As we know, Discriminant = - 4ac

A quadratic equation a+ bx + c = 0 has -

two distinct real roots, if b² - 4ac > 0 , two equal roots (i.e., coincident roots), if b²- 4ac = 0, and no real roots, if b² - 4ac < 0.

Solution -

Solving the quadratic equation to bring it in the form of ax² + bx + c = 0,

➛ x² + 4x + 1 = -3

➛ x² + 4x +3 + 1 = 0

x² + 4x + 4 = 0

Here,

a = 1, b = 4 and c = 4.

Putting the values in the the formula, b²- 4ac = 0.

➙ (4)²- 4(1)(4)

➙ 16- 16

0

As, b²- 4ac = 0 hence the quadratic equation will have two equal roots (i.e., coincident roots).

Answer:

1 aka b

Step-by-step explanation:

What is the area, in square inches, of the rectangle? Show your work!!

Answers

Answer:

[tex]\huge\boxed{\sf 7 \frac{13}{20} \ in. ^2}[/tex]

Step-by-step explanation:

Length of the rectangle = [tex]\displaystyle 2 \frac{1}{4} = \frac{9}{4} \ in.[/tex]

Width of the rectangle =  [tex]\displaystyle 3 \frac{2}{5} = \frac{17}{5} \ in.[/tex]

Area of the rectangle:

= Length × Width

[tex]\displaystyle = \frac{9}{4} \times \frac{17}{5} \\\\= \frac{9 \times 17}{4 \times 5} \\\\= \frac{153}{20} \\\\= 7 \frac{13}{20} \ in.^2\\\\\rule[225]{225}{2}[/tex]

Answer:

Above is the solution to the question

a = −b
b = −c
a + b + c = 8

Answers

Answer:

8

Step-by-step explanation:

if a = -b, then -a = b.

plug that into the (b = -c) problem, and you get -a = -c, or a = c

if a and c ar equal, then and b = -c, b also equals -a.

the problem then becomes a - b +c, where a = 8, c = 8, and b = -8

a = -b -> 8 = -(-8)

b = -c -> -8 = -(8)

a = c -> 8 = 8

find the first six terms of the geometric sequence-1, -3, -9, _, _, _

Answers

Hey there!

A geometric sequence is where we use multiplication or division to get to the next term.

In this case, we use multiplication (we multiply every term by 3)

So we have

-1, -3, -9, -27, -81, -243...

Steps:

Since we multiply every term by 3, we multiply -9 times 3. then we multiply the product of 9 & 3 times 3, and so on...

Hope everything is clear.

Let me know if you have any questions; if oyu do, kindly comment below my answer.

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]

2:3 = %
2:3 is in ratio change to percentage

Answers

Answer:

2:3 = 66%

Step-by-step explanation:

⇒ Convert the fraction 2/3 into decimal

⇒ 2/3 = 0.666

⇒ Multiply the decimal by 100: 0.66 × 100 = 66%

Therefore, the solution is 66%.

Marco made $50 for every 2 hours he works, how much will he make in 10 hours?

Answers

Answer:

$500

Step-by-step explanation:

if Marco gets $50 for every 2 hours and it say how much he'll have every 10 hours what your gonna do is multiply 10 by 50 so 10×50= 500 so Marco will make $500 every 10 hours

$250 will he make in 10 hours for the work that Marco has done.

What is multiplication?

When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however, other symbols like the "*" sign are also occasionally used.

The information that is provided is:

Marco made $50 for the two hours he is working for.

For one hour of the work that he is doing the amount that he will be paid is

= 50 / 2

$25

For working 10 hours Marco will earn

= 10*25

$250

Learn more about multiplication, Here:

https://brainly.com/question/24327297

#SPJ2

I need ans for this.....please I will mark brainliest..​

Answers

Answer:

(1,2), (2,4) (2.5,5) (3,6) (4,8) (5,10) (6,12) (15,30)

Step-by-step explanation:

2.5/2.5 = 1

5/2.5 = 2

(1,2), (2,4) (2.5,5) (3,6) (4,8) (5,10) (6,12) (15,30)

Have an amazing day!

PLEASE RATE!

Question 12 of 12 Use the volume formula to find the volume of the prism. A. 18 cubic units B. 4 1/2 cubic units C. 9 cubic units D. 7 cubic units

Answers

Answer:

C. 9 cubic units

Step-by-step explanation:

The formula for the volume of a prism is V=Bh, where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 4 and the width is 3/2 (1 1/2 = 3/2). The area A of a rectangle with length l and width w is A=lw

so the area of the base is 4 x 3/2 which is 6

then we multiply that by the height (3/2) to get 9.

i hope this helped :)

Please Answers these
AND NO LINKS PLEASE

Answers

Answer:

10:  112.5

12:  84

13:  T F T

14:  F T T

15:  T F T

A quadrilateral can be partitioned into two triangles. What is the sum of the angles of a quadrilateral?​

Answers

Answer:

360°

Step-by-step explanation:

Each of the two triangles have 3 angles that add up to 180°.

So,

180° + 180° = 360°

The sum of the angles of a quadrilateral is 360°

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