Please help me with this!!

Please Help Me With This!!

Answers

Answer 1

Answer: 33 in.

Step-by-step explanation: If the triangles are similar, you have to compare the same sides and find the scale. If you rotate the image, you see the 6 is the same side as the 18. A scale of 18:3 is the same as 3:1. Using this, you can see the missing side and 11 are the same, so you multiply the 11 by 3 to gett 33 as the length, and in. as your label.

I hoped this help and if I could get brainliest that would be nice <3

Answer 2

Answer

Step-by-step explanation:


Related Questions

Stefan sells Jin a bicycle for ​$165 and a helmet for ​$18. The total cost for Jin is ​150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

The amount of money that Stefan made from selling the bicycle and helmet to Jin is $73.20.

How much did Stefan make from selling the bicycle?

The first step is to determine the total cost of the items bought by Jin.Total cost = cost of the bicycle + cost of helmet$165 + $18 = $183

The equation that represents the total cost of the items bought by Jin in relation to the cost of the items bought by Stefan is:

The total cost of the items bought by Jin = (1 + percentage increase) x cost of the items bought by Stefan

$183 = (1 + 1.50) x p

$183 = 2.50p

p = $183 / 2.5

p = $73.20

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4. pls help will mark brainliest to whoever anwsers

Answers

Answer:

y = -16 + 4x

-16 is the slope and the slope is also the y intercept, you can see on the graph how on the y axis the line crosses through -16 and 4 is the x intercept so that's how I know. I also used a graph calculator to check my answer.

Have a great night :)

Please help!!!

The mapping displayed is a function…


TRUE
OR
FALSE

Answers

It is not a function because an x-value can only have 1 y-value (but a y-value can have as many x-values as it wants. For example, [(2,5),(2,7),(4,6),(8,9)] is not a function because the x-value “2” has multiple y-values but [(5,7),(6,7),(2,7),(8,6)] is a function because each x-value has just one y-value even though the y-value of “7” has multiple x-values.

Which of the following are integer solutions to the inequality below?

2

x
<
3

Answers

The integer solutions in the inequality expression given as − 2 ≤ x < 3 are -2, -1, 0, 1 and 2

What are inequalities?

Inequalities are expressions that do not have equal value

As a general rule, inequalities are represented by the unequal symbols

How to determine the integer solutions?

The inequality expression is given as

− 2 ≤ x < 3

The above inequality implies that

The values in the range or domain are values greater than -2, but less than 3

This means that

-2 is inclusive of the range, while 3 is not inclusive of the range

Using the above as a guide, the values in the range are

-2, -1, 0, 1 and 2

Hence, the integer solutions are -2, -1, 0, 1 and 2

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Can someone please help me with this?

Answers

Step-by-step explanation:

313, 307, 301, ...
Find the 42nd term.

Answers

For the given arithmetic sequence 313, 307, 301, ..., the 42nd term of the sequence is -391.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is given that,

The following sequence is,

313, 307, 301, ...

The given sequence is in the arithmetic progression the common difference of the series is,

d = 307 - 313 = 301 -307

d = -6

The nth term of the arithmetic progression is,

aₙ = a + (n – 1)d

a₄₂= - 307 + (42 -1)-6

a₄₂= -307 + 41(-6)

a₄₂= -307 +(-84)

a₄₂= -307 -84

a₄₂= -391

Thus, for the given arithmetic sequence 313, 307, 301, ..., the 42nd term of the sequence is -391.

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my gross annual salary is $38,256. Each paycheck, I have 12% withdrawn for federal
taxes, 6.2% withdrawn for Social Security and 1.45% withdrawn for Medicare. There
are no other deductions. How much my monthly paycheck?

Answers

Answer:

$2561.56

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

Given

Annual gross salary = $38256,Deductions = 12%, 6.2% and 1.45%.

Solution

Find the monthly gross and subtract all the deductions.

Monthly gross salary is:

$38256/12 = $3188

Total deductions:

12% + 6.2% + 1.45% = 19.65%

Monthly paycheck is:

$3188 - 19.65% = $3188(100 - 19.65)/100 =$2561.56 (rounded to the nearest cent)

Answer:

$2,561.56

Step-by-step explanation:

Income:

Gross annual salary = $38,256

Deductions:

Federal tax = 12%Social Security = 6.2%Medicare = 1.45%

Total deductions:

⇒ 12% + 6.2% + 1.45% = 19.65%

If 19.65% of the gross salary is deducted, the percentage remaining will be:

⇒ 100% - 19.65% = 80.35%

Find 80.35% of the gross annual salary:

⇒ 80.35% of $38,256

⇒ 0.8035 × 38256

⇒ 30738.696

Divide this by 12 to find the value of the monthly pay check:

⇒ 30738.696 ÷ 12 = 2561.558

Therefore, the monthly pay check is $2,561.56 (nearest cent).

What is the equation of the line that is parallel to the given line and passes through the point (â€"2, 2)? y = one-fifthx 4 y = one-fifthx twelve-fifths y = â€"5x 4 y = â€"5x twelve-fifths

Answers

The equation of the line that is parallel to the given line and passes through the point (–2, 2) is: B. y = 1/5(x) + 12/5

How to calculate the slope of a line?

In order to determine the equation of this line, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope\;,m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

By critically observing the graph of the line, we can logically deduce the following points:

Point (x, y) = (0, -3)

Point (x, y) = (-5, -4)

Substituting the given points into the formula, we have;

Slope = (-4 - (-3))/(-5 - 0)

Slope = (-4 + 3)/(-5)

Slope = -1/-5

Slope = 1/5

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

Note: m represents the slope.

Mathematically, the point-slope form of a line is given by this equation:

y - y₁ = m(x - x₁)

Where:

x and y are the points.m represents the slope.

At point (-2, 2), we have:

y - 2 = 1/5(x - (-2))

y - 2 = 1/5(x + 2)

y - 2 = x/5 + 2/5

y = x/5 + 2/5 + 2

y = x/5 + 12/5

y = 1/5(x) + 12/5

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Complete Question:

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

y=1/5x+4

y=1/5x+12/5

y=-5x+4

y=-5x+12/5

Answer: B. y = 1/5x + 12/5

Step-by-step explanation: This is just a sum of what the person above me said.....and i can confirm this is the right answer bc i just did the quiz and scored 100% loll. Hope this helps! :D

Find the quotient. Enter your answer in lowest terms in the box below as a fraction, using the slash mark ( / ) for the fraction bar.


Answer here

Answers

The quotient of the expression as given in the task content is; 27/40.

What is the quotient of the expression as given in the task content?

It follows from the task content that the quotient of the expression which is given in the task content is to be determined.

Since the given expression is; (3/8) ÷ (5/9).

Hence, it follows from division of fractions that the expression can be rewritten as;

(3/8) × (9/5)

= 27/40.

Ultimately, the quotient of the expression is; 27/40.

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The second angle of a triangle is 12 less than the first angle. The third angle is two times the first. Find the
three angles.
First angle:
Second angle:
Third angle:

Answers

Answer:

First angle: 48°

Second angle: 36°

Third angle: 96°

Step-by-step explanation:

The sum of the three angles of a triangle = 180°

Let the measure of the first angle be a°

Then second angle measure = (a - 12)°

Third angle measure = 2a°

Adding up all these should equal 180°

⇒  a + a - 12 + 2a = 180

⇒  4a - 12 = 180

⇒ 4a = 180 -+ 12

⇒ 4a = 192

⇒  a = 192/4 = 48°

Thus the first angle is 48°

Second angle = 48 - 12 = 36°

Third angle = 2 x 48 = 96°

Which of the following graphs shows the solution set for the inequality below?

3|x + 1| < 9

Answers

Answer:

Graph D

Step-by-step explanation:

3|x + 1| < 9

divide both sides by 3:

(3|x + 1|)/3 < 9/3

|x + 1| < 3

so:

x + 1 < 3 OR x + 1 > -3

first equation: x + 1 < 3

x + 1 < 3

subtract 1 from both sides:

x + 1 - 1 < 3 - 1

x < 2

(-∞,2)

Second equation:  x + 1 > -3

x + 1 < -3

subtract 1 from both sides:

x + 1 -1 > -3 - 1

x > -4

(-4,∞)

You are to graph: (-4,∞) ∩ (-4,∞)

this is Graph D.

Answer:

Graph D

Step-by-step explanation:

Given inequality:

[tex]3|x+1| < 9[/tex]

Divide both sides by 3:

[tex]\implies |x+1| < 3[/tex]

[tex]\textsf{Apply the absolute rule: \quad If $|u| < a$ when $a > 0$, then $-a < u < a$}[/tex]

[tex]\begin{aligned} \underline{\sf Case\; 1} && \underline{\sf Case\; 2}\\-3& < x+1 & \quad \quad \quad x+1& < 3\\-4& < x & x& < 2\end{aligned}[/tex]

Therefore, the solution set for the given inequality is:

[tex]\{x|-4 < x < 2\}[/tex]

When graphing inequalities on a number line:

< or > : open circle≤ or ≥ : close circle.< or ≤ : shade to the left of the circle.> or ≥ : shade to the right of the circle.

Place an open circle at x = -4 and x = 2.

Shade between the two values.

Point R is on line segment QS. Given QS=2x+2,QS=2x+2, QR=3x-5,QR=3x−5, and RS=5x-5,RS=5x−5, determine the numerical length of QR

Answers

is this for calculus?

22.
Use the credit card statement to answer the question below.
ACCOUNT INFORMATION
Account Number
TRANSACTIONS
9 MAY
12 MAY
15 MAY
18 MAY
21 MAY
SUMMARY
3291684271 Fanelli Furs
594683219 Brooklyn Pets
7677095385 Maple Garage
8765713281 PAYMENT
321447162 Caruso's Restaurant
Previous
Balance
$420.50
4-10700000
Total Credit Line
Total Available Credit
Payments
/Credits
$150.00
New
Purchases
$1,227.24
$3,000.00
$1,661.51
Billing Date
Late
Charge
$0.00
Average
Daily
Balance
$1,199.97
30 May Payment Due 8 Jun
DEBITS/CREDITS (-)
Finance
Charge
$19.80
# Days
in Billing
Cycle
30
New
Balance
$1,517.54
APR
19.8%
$975.00
$32.50
$178.21
$150.00
$41.53
Minimum
Payment
$30.00
Monthly
Periodic
Rate
1.65%
If the credit card owner only made the minimum payment this month, what would
their starting balance be next month?
0/0

Answers

Answer: 9 May

Step-by-step explanation: 3291684271 Fanelli Furs

594683219 Brooklyn Pets

7677095385 Maple Garage

8765713281 PAYMENT

321447162 Caruso's Restaurant

Previous

Balance

$420.50

4-10700000

Also this doesn't make a lot of sense.

3. (03.04 HC)Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and thebehavior when the following changes are made. Make sure to account for even and odd functions.• When f(x) becomes f(x) - 3• When f(x) becomes -2. f(x)(10 points)

Answers

ANSWER and EXPLANATION

(A) f(x) - 3

=> y-intercept

The y-intercept of f(x) is f(0). This implies that the y-intercept of f(x) - 3 is f(0) - 3.

In other words, the y-intercept is 3 units less than the y-intercept of the original function, since the function is translated 3 units downward.

=> Regions where the graph is increasing and decreasing

The region where the function f(x) increases and decreases do not change since the function is only translated and there is no change in the size of the figure.

=> End behavior

The end behavior of the graph doe not change as well because there is no change in the form or size of the graph, it is only translated

(B) -2 * f(x)

=> y-intercept

The y-intercept of

Water boils at different temperatures at different elevations. The boiling temperature of the water is 212F at sea level​ (0 feet) but drops about 1.72F for every​ 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190F. Question content area bottom.

Determine a formula for the boiling point​ b, in degrees​ Fahrenheit, at elevation​ h, in feet.

When the boiling point is 190​F, the elevation is about

Answers

The formula used for given problem is y = mx+ b.

Slope intercept form: what is it?

Slope-intercept form: A line with m as the slope and m and c as the y-intercept makes up the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

This relationship is linear. Let y be the boiling point and let x be the altitude in feet.

We need the equation y = mx+ b for a linear one.

This is a linear relationship.  Let x = the altitude in feet and y be the boiling point

 

 For a linear equation, we want y = mx+ b

 

From the description m = -1.72/1000 and when x = 0, y = 212, so b = 212

  y = -1.72/1000 + 212

B)  When y = 190

    190 = -1.72/1000x + 212

    1.72x/1000 = 22

 x = 22000/1.72 ≈ 12791 feet

  When the boiling point is 190°​F, the elevation is about 12791 ft.

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Hello, please help.
Just answers

Answers

Answer:

B

Step-by-step explanation:

The exponent means to multiply x² by itself 3 times.

For the function g(x) = 4x – 48, find g(-4).-4.)(Enter your answer as Ø if the function does not have a value at x =Provide your answer below:g{ – 4)=

Answers

Solution:

Given:

[tex]g(x)=\sqrt[3]{4x-48}[/tex]

g(-4) means the value of g(x) when x = -4

Substituting x = -4 into the function,

[tex]\begin{gathered} g(x)=\sqrt[3]{4x-48} \\ g(-4)=\sqrt[3]{4(-4)_{}-48} \\ g(-4)=\sqrt[3]{-16_{}-48} \\ g(-4)=\sqrt[3]{-64} \\ g(-4)=-4 \end{gathered}[/tex]

Also, showing the function on a graph using a graph plotter, the function is as plotted below;

The point when x = -4 corresponds to y = -4

Therefore,

[tex]g(-4)=-4[/tex]

Evan mixes 64 ounces of apple juice and 48 ounces of cranberry juice. he then pours the juice mixture into 8-ounce glasses. each glass has the same amount of juice mixture. how many glasses did he fill?

Answers

Answer:

14 glasses

Step-by-step explanation:

Total volume of the mix = 64 + 48 = 112 ounces

Each glass can hold 8 ounces

Number of glasses needed = 112/8 = 14

Answer:

14 glasses

Step-by-step explanation:

64 + 48 = 112

112 ÷ 8 = 14

14 glasses of juice mixture

Complete the remainder of the
table for the given function rule:
y = x - 7

Answers

The remainder of the table for the given function rule are -7, - 6 and -5.

What is termed as the function rule?The function table meaning is a graphical, gridded table with input and output cells organized into columns and rows. To generate the output, the table employs a specific rule that's also applied to a input value. There are three variables in function tables. There is an input, a function, and an output. Function tables are designed using one of the three components unknown and the remaining two serving as hints to solve the table.

For the given question,

The function is defined as;

y = x - 7

To obtain the remainder of the table, put x = 0, 1, 2 in the function and obtain y.

1. x = 0

  y = 0 - 7

  y = -7

2. x = 1

y = 1 - 7

y = -6

3. x = 2

y = 2 - 7

y = -5

Thus, the remainder of the table for the given function rule are -7, - 6 and -5.

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ZACH HAS AGREED TO BABYSIT FOR FOUR CHILDREN ON NEW YEAR’S EVE. HE CHARGES $5.00 PER HOUR BEFORE MIDNIGHT AND $6.15 PER HOUR AFTER MIDNIGHT. IF THE PARENTS LEAVE AT 7:00 PM AND RETURN HOME AT 2:00 AM, HOW MUCH WILL ZACH EARN?

Answers

He will earn 37.30 dollars

NEED DONE ASAP
4
Including both end zones, a football field is 4,320 inches long. What is this value expressed in scientific notation?

A

4.32×10−4


B

4.32×10−3


C

4.32×103


D

4.32×104

Answers

The length of the football field in scientific notation is written as;

⇒ 4.32 × 10⁻³  inches.

Option B is true.

What is Number system?

A way for system of writing to express the number is called number system.

Given that;

The length of the football field = 4,320 inches.

Now,

Find the estimate number of the length of the football field as;

Since, The length of the football field = 4,320 inches.

The number = 4,320 inches

It can be written as;

4,320 inches =  4.32 × 10⁻³ inches.

Therefore,

The length of the football field in scientific notation is written as;

⇒ 4.32 × 10⁻³  inches.

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Essential Question: You live in a three-dimensional world. Solid objects, such as yourself, are three dimensional. Can you explain the difference between one, two and three dimensions?

Answers

Answer:

A one-dimensional object is a line which has only one dimension or measurement, which is its length. Or to put it differently, a one-dimensional object can only be measured in one direction. A flat shape with two dimensions or measurements—length and width—and no thickness is two-dimensional. A two-dimensional object can be measured in two different directions. Squares and rectangles are examples of two-dimensional shapes. However, three-dimensional objects, also known as solids, have three dimensions or measurements: length, width, and height. Therefore, they can be measured in three different directions. Examples include cylinders, cubes, and pyramids.

Explanation:


Dimensional: Having measurements in one or more directions, often meaning length, width, and height.


One-dimensional - Length

Two-dimensional - Length and Width

Three-dimensional - Length, width, and height

You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a diamond each time.

Answers

Solution:

Given:

A 52-card deck

There are four suits in a standard deck of cards, Clubs, Hearts, Spades, and Diamonds.

There are 13 diamond cards.

Hence,

[tex]\begin{gathered} \text{Diamond cards = 13} \\ \text{Total cards = 52} \end{gathered}[/tex]

Probability is calculated by;

[tex]\text{Probability}=\frac{n\text{ umber of required outcomes}}{n\text{ umber of total or possible outcomes}}[/tex]

Thus, the probability of drawing a diamond on the first draw is;

[tex]\begin{gathered} \text{Probability of drawing a diamond}=\frac{n\text{ umber of diamond cards}}{\text{total number of cards}} \\ \text{Probability of drawing a diamond}=\frac{13}{52} \\ \text{Probability of drawing a diamond}=\frac{1}{4} \\ P(D_1)=\frac{1}{4} \end{gathered}[/tex]

Since two draws are made with replacement, the cards are completed back again before the next draw.

Hence, the probability of drawing a diamond on the second draw is;

[tex]\begin{gathered} \text{Probability of drawing a diamond}=\frac{n\text{ umber of diamond cards}}{\text{total number of cards}} \\ \text{Probability of drawing a diamond}=\frac{13}{52} \\ \text{Probability of drawing a diamond}=\frac{1}{4} \\ P(D_2)=\frac{1}{4} \end{gathered}[/tex]

Therefore, the probability of drawing a diamond each time;

[tex]\begin{gathered} P(D_1D_2)=\frac{1}{4}\times\frac{1}{4} \\ P(D_1D_2)=\frac{1}{16} \end{gathered}[/tex]

Is there any way possible that, by completing these triangles, that they will NOT be congruent?

Answers

I’m going to see if I can repost this question for you! Hopefully someone will see it and answer it

how do your graph questions like y= 1/2+7

Answers

Answer:

so basically Write a factor

Step-by-step explanation:

1 - write a factor and then multiply then divide that's all hopefully this is helpful:)

.

Point C has the coordinates (1, -4) and point D has the coordinates (9, -10). What is the distance between points C and D? units

Answers

The distance between points C and D is 10 units

What is the distance formula?

The distance formula calculates the distance between two points. It measures the straight line distances between two points. the distance formula for Point x(a, b) and y(c, d) is given by [tex]d=\sqrt{(d-b)^{2} +(c-a)^{2} }[/tex].

We are given the coordinates as C(1,-4)  and D(9,-10)

Substituting the values in the distance formula

[tex]d=\sqrt{(-10+4)^{2}+(9-1)^{2} } \\d=\sqrt{(-6)^{2} +8^{2} }\\ d=\sqrt{36+64} \\d=\sqrt{ 100}\\d=10[/tex]

Therefore the distance between two points is 10 units.

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Alabama scored 35 points. This was 13 points less than the Tennessee Volunteers. How
many points did the Vols score?
Choose the correct equation AND solution.

A. x-13=35x=-48 B. X +35 = 13x =-22

C. x+13=35x=22 D. x-13=35x=48

Answers

The equation that represents the points scored by the Vols is  x-13=35

The solution of the equation is x = 48

What is the total score?

Based on the information that is provided in the question, the points scored by Alabama is 13 less than the score of the Tennessee Volunteers. This means that the points of Tennessee Volunteers is 13 greater than that of Alabama.

Thus, in order to determine the points of Tennessee Volunteers, add the score of Alabama to 13. Addition is the process that is used to determine the sum of two or more numbers. The sign that represent addition is +.

Points scored by Tennessee Volunteers = points scored by Alabama + 13

x = 35 + 13

x = 48

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7. An engineer makes different-size samples of
a new material. The table shows volumes and
their related masses.
a. What would be the mass of 100 cubic
centimeters of the material?
b. What would be the mass of 500 cubic
centimeters of the material?
Higher
Masses of Samples
Volume in Cubic
Centimeters (x)
9
14
25
Mass in
Grams (y)
90
140
250

Answers

The most appropriate choice for unitary method will be given by-

a) Mass of 100 [tex]cm^3[/tex] of the material = 1000 g

b) Mass of 500 [tex]cm^3[/tex] of the material = 5000 g

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit.
Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here,

a)Mass of [tex]9 cm^3[/tex] of samples = 90 g

Mass of 1 [tex]cm^3[/tex] of sample = [tex]\frac{90}{9}[/tex] g

Mass of 1 [tex]cm^3[/tex] of sample = 10 g

Mass of 100 [tex]cm^3[/tex] of sample = [tex]10 \times 100 g[/tex] = 1000 g

b) Mass of 500 [tex]cm^3[/tex] of sample = [tex]10 \times 500[/tex] g = 5000 g

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I don't need an explanation fr, Just answer it..

Answers

The value of given code is 58 and the value of a=8, b=7, c=-3, d=6, e=1, f=2 for the given puzzles using the exponential identities applied to the puzzles. on substituting the given values to f(b+d)+a(e-c)= 2(7+6)+8(1-(-3))= 58.

What is exponent?

The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal 23. Keep in mind that a number raised to the power of one is itself.

What is exponential identity?

If a>0 and b>0, the following applies to all real numbers x and y:

a^x.a^y = a^(x+y)

a^x/a^y = a^(x-y)

a^x.b^x=(ab)^x

(a/b)^x = a^x/b^x

a^0=1

a^-x= 1/ a^x

(x^a)^b= x^(ab)

For the puzzle 1,

we use the property a^x.a^y = a^x+y

x^4.x^a=x^12

4+a=12

a=8

For puzzle 2,

we use the property a^x/a^y = a^x-y

y^b/y^5=y^2

b-5=2

b=7

For puzzle 3,

we use the property a^-x= 1/ a^x

3^c=1/3^3

c=-3

For puzzle 4,

we use the property (x^a)^b= x^(ab)

(m^3)^2=m^d

d=3*2

d=6

For puzzle 5,

we use the property a^0=1

7^0=e

e=1

For puzzle 6,

we use the property a^x.a^y = a^(x+y)

4^-2.4^9.4^-5=4^f

f=-2+9-5

f=2

given code=f(b+d)+a(e-c)

=2(7+6)+8(1-(-3))

=2*13+8*4

=26+32

=58

Using the exponential identities applied to the puzzles, the value of the given code is 58 and the values of a=8, b=7, c=-3, d=6, e=1, f=2 for the given puzzles. when the given values are substituted into f(b+d)+a(e-c)= 2(7+6)+8(1-(-3))= 58.

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50 points if right (3-part question)
A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of 19 4/5 liters per minute. (A)What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c)What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences.

Answers

A) The change in the volume of solution in the tank after 1 minute is;

-3⁷/₁₅ liters per minute

B) The change in volume of the solution after 15 seconds is; -13/15 liters per minute.

C) What change in the volume of solution in the tank after 15 seconds means is that there is a decrease in the volume of solution in the tank by 13/15 liters per minute.

What is the rate of change?

The given parameters of the solution in the tank are;

The rate at which the solution enters the tank, V = 16³/₄ liters per minute

The rate at which the solution leaves the tank = 19⁴/₅ liters per minute

(a) The expression that represents the change in volume in the tank is given as follows;

16³/₄ - 19⁴/₅ = -3⁷/₁₅ liters per minute

b)  We want to find the change in volume of the solution after 15 seconds.

15 seconds is equal to 0.25 minutes or 1/4 minutes

Therefore, the change in the volume after 15 seconds is;

-3⁷/₁₅ * 1/4 = -13/15 liters per minute

c) The change in the volume of solution in the tank after 15 seconds is a decrease in the volume of solution in the tank by 13/15 liters per minute.

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