At a cement plant, sand is stored in a container called a hopper. The shape of the container is an inverted cone. The height is 18 feet and the radius is 12 feet. If the hopper is full and sand is emptied at the rate of 4 ft3/min, how fast is the level of sand dropping when the sand level is 6 feet high? V = 1/3r2h​

Answers

Answer 1

Answer:

[tex]v=\frac{0,25}{\pi } ft/min[/tex]

Step-by-step explanation:

There is a relation with the initial and final dimensions of the hopper according to the sand level when its high is 6 feet as follows:

[tex]\frac{h_{1} }{h_{2} }=\frac{r_{1} }{r_2}\\{r_2}=\frac{12ft*6ft}{18ft}\\ r_2=4ft[/tex]

Where the calculated [tex]r_{2}[/tex] is given with the 6 feet hgh.

Then we have the sand flow formula which is:

[tex]Q=A*v[/tex]

Where A represents the area of the transversal section and v  the velocity that we need to know, the area is:

[tex]A=\pi r^{2}\\ A=\pi *4^{2}\\ A=16\pi ft^{2}[/tex]

And finally the sand is dropping when the level is 6 feet high with the velocity (v) :

[tex]v=\frac{Q}{A} \\v=\frac{4}{16\pi }[/tex]

[tex]v=\frac{0.25}{\pi } ft/min[/tex]

Answer 2

The sand level in the hopper is dropping at a rate of approximately 0.08 feet per minute when the sand level is 6 feet high. This is calculated using related rates and the volume formula for a cone. The relationship between radius and height, derivative calculations, and the given sand emptying rate are essential for this solution.

To determine how fast the level of sand is dropping in the hopper, we need to use related rates. The volume V of the sand in the inverted cone is given by the formula:

V = (1/3)πr2h

In this case, the radius r and height h of the sand level are proportional because the shape is a cone. We can express the radius r in terms of the height h using similar triangles. Given the overall height is 18 feet and the radius is 12 feet, we have:

r = (12/18)h or r = (2/3)h

Substituting r into the volume formula:

V = (1/3)π[(2/3)h]2h = (4/27)πh3

We need the rate of change of the height (dh/dt) when h = 6 feet. Given dV/dt = -4 ft³/min (negative because the volume is decreasing), we use the chain rule for differentiation:

dV/dt = (dV/dh)(dh/dt)

First, find dV/dh:

dV/dh = d/dh [(4/27)πh3] = (4/27)π × 3h2 = (4/9)πh2

Using dV/dt = -4 ft³/min:

-4 = (4/9)π(h2)(dh/dt)

When h = 6 feet:

-4 = (4/9)π(62)(dh/dt)

-4 = (4/9)π(36)(dh/dt) = 16π(dh/dt)

Therefore:

dh/dt = -4/16π = -1/4π

dh/dt = -0.08 feet/min

So, the level of sand is dropping at a rate of approximately 0.08 feet per minute when the sand level is 6 feet high.


Related Questions

please help me with missing angles​

Answers

Answer:

u = 40° , v = 40° and x = 100°

Step-by-step explanation:

i) from the rule of triangle we know that the sum of all three angles = 180°

ii) 100° + 40° + y = 180°. Therefore y = 40°. where y is the angle adjacent to v.

iii) from theorem on parallel lines we can say that u = y =40°

iv) from the properties of parallel lines we get v = 40° as interior alternate angles are equal.

v) again from the properties of parallel lines we get u = 40°

vi) using the triangle property as in i) we can see that u + v + x =180° therefore 40° + 40° + x = 180°. Therefore x = 100°.

vii) Therefore u = 40° , v = 40° and x = 100°

A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41°. How tall is the lighthouse?

Answers

The height of lighthouse is 52.2 yards

Solution:

Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the  ground and the top of the lighthouse is 41 degree

The diagram is attached below

Consider a right angled triangle ABC

AB is the height of the lighthouse

BC is the distance between the base of a lighthouse and Photographer

As per given, BC = 60 yards

Angle between the ground and the top of the lighthouse is 41 degree

Angle ACB = 41 degree

To find: height of lighthouse i.e AB = ?

We know that,

[tex]tan(\angle ACB) = \frac{Perpendicular}{Base}[/tex]

Here Base is BC and perpendicular is AB

[tex]\tan 41^{\circ}=\frac{A B}{B C}[/tex]

Substituting the values,

[tex]\begin{aligned}&\tan 41^{\circ}=\frac{A B}{60}\\\\&0.8692=\frac{A B}{60}\\\\&A B=0.8692 \times 60=52.157 \approx 52.2\end{aligned}[/tex]

Thus the height of lighthouse is 52.2 yards

Answer:

52.2

Step-by-step explanation:

It was correct on my assignment

by Thursday the Cutters and sewers in a clothing Factory had made 280 jackets. This is 87 1/2 % of the total number of jackets they were expected to make for the week. What is the total number of jackets the workers had to make that week?​

Answers

Answer:

320

Step-by-step explanation:

87 1/2% (same as 87.5%) " of " the total jackets " is" 280

let j represent the total jackets

turn ur percent to a decimal....87.5% = 0.875

" of " means multiply , " is " means equals

0.875j = 280

j = 280 / 0.875

j = 320 <====== ur answer

Final answer:

The workers at the clothing factory were expected to make a total of 320 jackets for the week, as 280 jackets represented 87.5% of their weekly target.

Explanation:

To find the total number of jackets the workers were expected to make for the week, we'll set up a proportion where 87.5% corresponds to the 280 jackets they had made by Thursday. We know that 87.5% can also be expressed as the fraction 7/8. Therefore, if 7/8 of the total is 280 jackets, we need to divide 280 by 7 and then multiply by 8 to find the total number of jackets.

First, calculate the number of jackets corresponding to 1/8 of the total:

280 jackets
7 (parts) = 40 jackets

Next, multiply the value of 1/8 of the total by 8 to get the full 100%:

40 jackets
8 (parts) = 320 jackets

So, the workers were expected to make a total of 320 jackets for the week.

What is the slope of the line that passes through the points (-7, -7) and (-7, 1)? Write your answer in simplest form.

Answers

Answer:

undefined, stays on x so straight vertical - vertical line is undef slope

Answer: The slope is undefined  

Step-by-step explanation:

The slope of a line is calculated using the formula :

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]x_{1}[/tex] = -7

[tex]x_{2}[/tex] = -7

[tex]y_{1}[/tex] = -7

[tex]y_{2}[/tex] = 1

Substituting the values into the formula , we have :

m = [tex]\frac{1-(-7)}{-7-(-7)}[/tex]

m = [tex]\frac{8}{0}[/tex]

m = undefined

How can you compare 5/8 and 1/2
PLEASE ANSWER!! :)

Answers

Answer:

see attached work shown

In the equation below, for what value of c does x = 4?
1 / (2x + 4) = 3x-c

Answers

Answer:

Option D.

Jenn's answer is not correct. She got it substituting [tex]c=4[/tex] into the equation and solving for "x".

Step-by-step explanation:

Given the following equation:

[tex]\frac{1}{2}(2x + 4) = 3x-c[/tex]

Since you need that [tex]x=4[/tex], you hace to substitute that value into the equation:

[tex]\frac{1}{2}(2(4) + 4) = 3(4)-c[/tex]

Now you need to solve for "c":

[tex]\frac{1}{2}(8 + 4) = 12-c\\\\\frac{12}{2}= 12-c\\\\6=12-c\\\\c+6=12\\\\c=12-6\\\\c=6[/tex]

Therefore for a  a value of [tex]c=6[/tex], you get [tex]x=4[/tex]

Then, the you can identify that the correct answer is the one given in the Option D.

Jenn made a mistake, because she substituted [tex]c=4[/tex] into the equation and then solve for "x":

[tex]\frac{1}{2}(2x + 4) = 3x-(4)\\\\x+2=3x-4\\\\2+4=3x-x\\\\6=2x\\\\\frac{6}{2}=x\\\\x=3[/tex]

Final answer:

To determine the value of c when x equals 4 in the given equation, substitute x with 4 and solve for c. The resulting value of c is approximately 11.9167.

Explanation:

To find the value of c for which x = 4 in the equation 1 / (2x + 4) = 3x - c, we start by substituting x with 4:

1 / (2×4 + 4) = 3×4 - c
1 / (8 + 4) = 12 - c
1 / 12 = 12 - c

Now we solve for c:

1 / 12 = 12 - c
c = 12 - 1 / 12
c = 12 - 0.0833

Finally, we find the value of c:

c = 11.9167

Therefore, for x = 4, the value of c is approximately 11.9167.

At West Painting, they get about three calls a day asking for an estimate of the cost for having the interior of a house painted. To write
up an estimate for the cost of a job, they need to know how much paint a job will take. If they average painting of a room with
5 of a gallon of paint, then they can paint, on average, 4 rooms per gallon

Answers

Answer:

West Painting can paint, on average, 1 7/8 rooms per gallon of paint

Complete statement and question:

At West painting, they get about three calls a day asking for an estimate of the cost for having the interior of a house painted. To write up an estimate for the cost of a job, they need to know how much paint a job Will take. If they average painting 3/4 of a room with 2/5 of a gallon of paint, then they can paint, on average ______ rooms per gallon.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Amount of paint needed to paint 3/4 of a room = 2/5 of a gallon

2. They can paint, on average how many rooms per gallon?

Let's use the Rule of Three Simple to answer this question, this way:

Paint                 Rooms

2/5 gallon          3/4

1 gallon               x

x = Number of rooms on average painted with one gallon of paint

x * 2/5 = 3/4 * 1

x = 3/4 / 2/5

x = 3/4 * 5/2 = 15/8 = 1 7/8

West Painting can paint, on average, 1 7/8 rooms per gallon of paint

11. Given: TQ bisects ZRTP, QS || PT
RT = 30. Find QP, RS and QS

Answers

QP=24 cm

RS=11.25 cm

QS=18.75 cm

Explanation:

Given that TQ bisects <RTP

[tex]therefore <QTP=<QTR\\[/tex](1)

consider ΔRQS and ΔRPT

QS||PT,RP and RT are transversals

[tex]<SQT=<QTP[/tex](alternate angles)(2)

comparing (1) and (2)

[tex]<SQT=<STQ[/tex] and triangle SQT is isocelus

Therefore SQ=ST(sides opposite to equal angles in an isocelus triangle)

Therefore <RQS=<RPT(corresponding angles)

<RSQ=<RTP(corresponding angles)

therefore by AA criterion for similarity

ΔRQS~ΔRPT

According to the property of similar triangles

[tex]RQ/RP=RS/RT=QS/PT[/tex][tex]9/RP=X/30=QS/50\\9/RP=X/30=(30-X)/50\\X/30=(30-X)/50\\50X=30(30-X)\\50X=900-30X\\50X+30X=900\\80X=900\\X=900/80=11.25\\RS=11.25 cm\\QS=30-X=30-11.25\\QS=18.75 cm\\9/RP=X/30\\9/RP=11.25/30\\9*30/11.25=RP\\RP=24 cm[/tex]

(5X+7)+(X+2) add linear expressions

Answers

Answer:

6x+9

Step-by-step explanation:

add like terms

5x+x=6x

7+2=9

5x+7+x+2=6x+9

The equation of a line is x + 3y = 14. What is the y-intercept of the line?

Answers

Answer:

To find the y-intercept of a line you need to first put it into the equation y=mx+b

x+3y=14 (minus x from each side)

3y=-x+14 (divide both sides by 3)

y=-1/3x+14/3

Your y-intercept is the b in the formula above, so your y-intercept would be 14/3

Hope this helps ;)

The capacity of a backyard pool would most
likely be measured in which unit?​

Answers

Answer:

I would use cubic meters :)

Step-by-step explanation:

Final answer:

The capacity of a backyard pool is commonly measured in gallons in the United States, or liters and kiloliters in countries using the metric system, due to the large volume of water pools can hold.

Explanation:

When considering the capacity of a backyard pool, we're dealing with a fairly large volume of water that needs to be measured. In the United States, the most common unit of measure for this purpose would be gallons, as it is a large unit for capacity suitable for measuring significant amounts of liquid like the volume of water in a swimming pool. Elsewhere, where the metric system is more common, one would likely use liters or kiloliters to quantify the capacity of a backyard pool.

For example, a typical backyard pool may contain about 15,000 gallons of water, which is significantly larger than quantities we would measure in smaller units such as milliliters or ounces. When discussing such large volumes, it's essential to use a unit of measure that appropriately represents the size of the container or space, hence gallons or liters are most suitable for the situation.

Please help me solve these three interval notations!!!!

Answers

Answer:

i) [0,4)

ii) [-2,-10]

iii) (-6,-4)

Step-by-step explanation:

i) the interval notation shown in the figure for the first option is [0,4) . Square bracket is used when an end value is included in the range as indicated by the black circle and a normal bracket is used to indicate when the end value is not included in the range as indicated by the white circle.

ii) the interval notation for the second option is given as [-2, 10].

iii) the interval notation for the third option is given by (-6, -4)

Which set of sides will make a triangle?
6 cm, 15 cm, 6 cm
13 cm, 7 cm, 6 cm
10 cm, 9 cm, 9 cm
4 cm, 8 cm, 14 cm

Answers

Answer:

  (c)  10 cm, 9 cm, 9 cm

Step-by-step explanation:

You want to identify the set of side lengths that can form a triangle.

Triangle inequality

The triangle inequality requires a + b > c, for any assignment of a, b, c to side lengths. In effect, the sum of the two shortest sides must exceed the length of the longest side.

Choices

  6+6 = 12 < 15 . . . . not a triangle

  6+7 = 13 . . . . . . . . not greater; not a triangle

  9+9 = 18 > 10 . . . . forms a triangle

  4+8 = 12 < 14 . . . . not a triangle

The set of sides that will make a triangle is {10 cm, 9 cm, 9 cm}.

__

Additional comment

The semiperimeter (half the sum of side lengths) is always greater than any side length in a triangle. For example, if the perimeter is 20, the longest side must be less than 10.

Final answer:

By applying the Triangle Inequality Theorem, we find the only set of sides that could make a valid triangle is 10 cm, 9 cm, 9 cm.

Explanation:

The question is asking to identify which set of given lengths could make a valid triangle. To answer this question, it's important to remember the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Let's apply this concept to each option.

6 cm, 15 cm, 6 cm: The sum of the two shorter sides (6 + 6 = 12 cm) is not greater than the longest side (15 cm), so this cannot form a triangle. 13 cm, 7 cm, 6 cm: The sum of the two shorter sides (7 + 6 = 13 cm) equals to the longest side, which also violates the triangle inequality, so this cannot form a triangle. 10 cm, 9 cm, 9 cm: The sum of the two shorter sides (9 + 9 = 18 cm) is greater than the longest side (10 cm), so this can form a triangle. 4 cm, 8 cm, 14 cm: The sum of the two shorter sides (4 + 8 = 12 cm) is not greater than the longest side (14 cm), so this cannot form a triangle.

Therefore, the only set of lengths that could make a valid triangle is 10 cm, 9 cm, 9 cm.

Learn more about Triangle Inequality Theorem

https://brainly.com/question/1163433

#SPJ11

y=x^(2)-12x+40 in vertex form

Answers

Answer:

[tex]y=(x-6)^2+4[/tex]

Step-by-step explanation:

Vertex Form Of The Parabola

The equation of a parabola can be expressed in either standard or vertex form. The standard form is

[tex]y=ax^2+bx+c[/tex]

and the vertex form is

[tex]y=a(x-h)^2+k[/tex]

Where (h,k) it the vertex of the parabola

Transforming one into the other form is easily achieved by applying simple algebra .

Our function is

[tex]y=x^2-12x+40[/tex]

Completing squares, we have

[tex]y=x^2-12x+36+40-36[/tex]

Reducing

[tex]\boxed{y=(x-6)^2+4 }[/tex]

The vertex of the parabola is the point (6,4)

Final answer:

To convert the quadratic equation y = x^2 - 12x + 40 into vertex form, the completing the square method is employed, resulting in y = (x - 6)^2 + 4, showing the vertex at (6, 4).

Explanation:

Converting a Quadratic Equation to Vertex Form

The question asks how to convert the quadratic equation y = x2 - 12x + 40 into its vertex form. The vertex form of a quadratic equation is y = a(x - h)2 + k, where (h, k) is the vertex of the parabola. To convert the given quadratic equation into vertex form, we'll use completing the square method.

Start with the original equation: y = x2 - 12x + 40.Factor out the coefficient of x2, which is 1 in this case, so this step doesn't change the equation.Rewrite the equation focusing on the x-terms: y = (x2 - 12x) + 40.To complete the square, take half of the coefficient of x (which is -12/2 = -6), square it (-62 = 36), and add and subtract it inside the parenthesis: y = (x2 - 12x + 36) - 36 + 40.Simplify and rewrite: y = (x - 6)2 + 4.

This shows the quadratic equation in vertex form with the vertex at (6, 4).

20-8 divided by 2 to the second powerX3

Answers

Answer:

6

Step-by-step explanation:

20-8=12

12÷2=6

6x6=36

Answer:

Step-by-step explanation:

Compare |− 4 25 | and |− 7 20 |.

Answers

Answer:

Step-by-step explanation:

| - 425 |=425

| - 720 |=720

Beacause 720>425=>| - 720 |>| - 425 |

g(x) = -x2 + 12x - 32

In vertex form

Answers

Answer: g(x) = -(x - 6)² + 4

Step-by-step explanation:

g(x) = -x² + 12x - 32

g(x) = -(x² - 12x) - 32

g(x) = -(x² - 2 × x × 6 + 6² - 6²) - 32

g(x) = -[ (x - 6)² - 36 ] - 32

g(x) = -(x - 6)² + 36 - 32

g(x) = -(x - 6)² + 4

Here, (6,4) is vertex.

Find the measure of y.
this has 129, 116, 120,130, 135, 125v and y
I NEEEDDD TO KNOWW WHAT IS (Y)



134°


130°


129°


145°

Answers

The answer is choice B I believe

The measure of angle y in the heptagon is 145 degrees.

What is a polygon?

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:

• Triangle

• Quadrilateral

• Pentagon

• Hexagon

• Heptagon

• Octagon

• Nonagon

To find the measure of angle y in a heptagon, we can use the formula for the sum of the interior angles of a polygon, which is:

Sum of interior angles = (n-2) x 180 degrees

where n is the number of sides of the polygon.

For a septagon (a polygon with seven sides), we can substitute n=7 into the formula:

Sum of interior angles = (7-2) x 180 degrees = 5 x 180 degrees = 900 degrees

We can now find the value of angle y by adding up the measures of all the given angles and subtracting the sum from the total sum of the interior angles:

y = 900 - (129 + 116 + 120 + 130 + 135 + 125) = 145 degrees

Therefore, the measure of angle y in the Heptagon is 145 degrees.

Read more on regular polygon here:

brainly.com/question/20911145

#SPJ7

Complete question:

Use the given information to write the equation of each line

Passing through (1,-4) and (-2,5)

Answers

Answer:

y = -3x - 1

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (1, -4) and (-2, 5).

Substitute:

[tex]m=\dfrac{5-(-4)}{-2-1}=\dfrac{5+4}{-3}=\dfrac{9}{-3}=-3[/tex]

Substitute the value of a slope and the coordinates of the point (1, -4) to the equation of a line:

[tex]-4=-3(1)+b[/tex]

[tex]-4=-3+b[/tex]            add 3 to both sides

[tex]-4+3=-3+3+b[/tex]

[tex]-1=b\to b=-1[/tex]

Finally:

[tex]y=-3x-1[/tex]

Name 6 kingdoms and give an example of each

Answers

Answer:

Step-by-step explanation:

1. animals - rabbit

2. plants - moss, flowers etc .

3. fungi - mushroom

4. protista - giant kelp

5. eubacteria - thermus

6. archaebacteria - euryarchaeota

Evaluate
c
2

3
+
6
d
2
c

−3+
d
6

start fraction, c, divided by, 2, end fraction, minus, 3, plus, start fraction, 6, divided by, d, end fraction when
c
=
14
c=14c, equals, 14 and
d
=
3


Answers

Answer:

The answer = 6

Step-by-step explanation:

Given expression:

[tex]\frac{c}{2}-3+\frac{6}{d}[/tex]

To evaluate the  given expression, when [tex]c=14[/tex] and [tex]d=3[/tex]

Solution:

We have:

[tex]\frac{c}{2}-3+\frac{6}{d}[/tex]

Plugging in [tex]c=14[/tex] and [tex]d=3[/tex] in the given expression, to evaluate.

⇒ [tex]\frac{14}{2}-3+\frac{6}{3}[/tex]

Evaluating:

⇒ [tex]7-3+2[/tex]

6 (Answer)

Answer:

hmm 6

Step-by-step explanation:

what is the slope of the line

Answers

Answer:

4/5

Step-by-step explanation:

Because slope=rise/run.

Answer: slope = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The formula for finding slope is given by

slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

From the graph give :

[tex]x_{1}[/tex] = -3

[tex]x_{2}[/tex] = 3

[tex]y_{2}[/tex] = 4

[tex]y_{1}[/tex] = -1

substituting into the formula , we have

slope = [tex]\frac{4-(-1)}{3-(-3)}[/tex]

slope = [tex]\frac{4+1}{3+3}[/tex]

slope = [tex]\frac{5}{6}[/tex]


Which statement about the following system is correct?
Y=x-6
Y=-x-2
A. The equations are independent because the lines intersect in one point.

B.The equations are independent because the equations represent parallel lines.

C.The equations are dependent because the lines are the same line.

D.The equations are dependent because the lines do not intersect.

Answers

Final answer:

The correct statement about the system of equations y = x - 6 and y = -x - 2 is that the equations are independent because the lines intersect at one point, as they have different slopes.

Explanation:

The student is asking which statement about the system of equations is correct. The equations given are:

y = x - 6y = -x - 2

Let's analyze both equations:


 The first equation, y = x - 6, has a slope of 1 and a y-intercept of -6.
 The second equation, y = -x - 2, has a slope of -1 and a y-intercept of -2.

Since the two lines have different slopes, they are not parallel and will intersect at a single point, making the system consistent and independent. Therefore, the correct answer is:

A. The equations are independent because the lines intersect in one point.

15. At a school for, 70% of the people are under 16 years old. One of the people rema

there are 21 teachers at the fair how many people are there at the far total

h. 125

Answers

Answer:

210 people are there at the fair

Step-by-step explanation:

Let the total number of people at the fair = X

People under 16 years old        = 70% of X = 0.7 X

People remaining                       = Total number of people - Under 16 years

                                                    = X - 0.7X = 0.3X

The number of teachers             = 1/3 of People remaining = 1/3 of 0.3X

Since there are 21 teachers

                            1/3 of 0.3X       =  21

                              1/3 x 0.3X       =  21        

                                     0.1X         =   21  

Divide both sides by the coefficient of X            

                                    0.1X/0.1     =   21/0.1

                                               X     =  210

That is 210 people are there at the fair

Find the number, if 1.5 of it is 30

Answers

Answer is 30

Step-by-step explanation:

1.5 of X = 30

1.5*X = 30

X = 30/1.5

= 20

Answer:

20

Step by step explanation:

30/1.5

=20

I am having trouble with the last question. “Suppose that y=2.5 when x=1.5. Write a formula that expresses y in terms of x.”

Answers

y=2x-0.5

Step-by-step explanation:

Given the expression of Δy in terms of Δx as;

Δy=4/2 Δx

Given y=2.5 and x =1.5 then substituting in the equation above will give;

y-2.5=2(x-1.5)

y-2.5=2x-3

y=2x-3+2.5

y=2x-0.5

Learn More

Linear equations:https://brainly.com/question/8738418

Keywords : formula, expresss

#LearnwithBrainly

Final answer:

To write a formula that expresses y in terms of x, we can use the equation y = mx + b. Substitute the given values of x and y into the equation and solve for m and b. The final formula is y = 1.67x + 1.25.

Explanation:

To write a formula that expresses y in terms of x, we need to determine the relationship between y and x. In this case, we know that when x = 1.5, y = 2.5. So we can start with the equation y = mx + b, where m is the slope and b is the y-intercept.

Using the given values, we can substitute x = 1.5 and y = 2.5 into the equation y = mx + b: 2.5 = 1.5m + b. Now we can solve for m and b by using the given values and algebraic manipulation.

By rearranging the equation and substituting the values of x and y, we can determine the formula that expresses y in terms of x. The final formula will be y = 1.67x + 1.25.

Learn more about Writing a formula for y in terms of x here:

https://brainly.com/question/14824020

#SPJ6

Paul was asked to use the elmination to find the solution to the system of linear equations
5x + 4y = 1
−2x − 8y = −26
What are the missing steps in his work below?
5x + 4y = 1 −2x − 8y = −26
10x + 8y = 2 + (−2x −8y = −26) 8x + 0y = −24 8x = −24 x = −3 5x + 4y = 1 5(−3) + 4y = 1 −15 + 4y = 1 4y = 16
y = 4 Select one: A. 5x + 4y = 1 + (−2x − 8y = −26)
B. 2⋅[5x + 4y = 1] 10x + 8y = 2
C. 5x + 4y = 1 − (−2x − 8y = −26)
D. −5⋅[−2x − 8y = −26] 10x + 40y = 130

Answers

Answer:

Option B is correct.

Step-by-step explanation:

Paul was asked to use the elmination to find the solution to the system of linear equations

What are the missing steps in his work below?

So, the step missing is multiplying equation 1 by 2 i.e

So, Option B is correct.

6 x 4237 solve using distributive property

Answers

Answer:

25422

Step-by-step explanation:

Given the following functions f(x) and g(x), solve (f+g)(2) and select the correct answer below:
f(x) = 6x - 2
g(x) = x - 1

A. 13
B. 11
C. 24
D. 30

Answers

Answer:

B

Step-by-step explanation:

In the picture above

Hope this helps.



Pick the correct equation for the line below:





y=x^2 y + 90

y=3x + 90

y = 90x - 10

y = -10x + 90

Answers

Answer:

none of above because the correct equation is y= -3x+90

Other Questions
B. Pro-democracy activistfor democracy in Myanmar, which was once calledand others are still strugglingroduce for classroom use.C. In Cambodia, the, under the leadership of, massacred more than a million people. -A ustedes nolas celebraciones de fin de ao?- No, yo no celebro la Navidad y a Felicia no los das festivos.A) le gustan; les gustan. B) le gusta; les gustaC) les gustan; le gustan. D) les gusta; le gusta What do you think will be the lasting impact that Reality TV has on the Humanities and how we see ourselves as humans? Based on what you learned about the theater (which was not always considered high art) in this week's readings, what may be some future similarities and differences between Reality TV and the theater? Explain how you know that 7/12 is greater than 1/3 but less than 2/3 Which theme is common to the two excerpts? A. The absence of love B. The fragile nature of existence C. The question of reality D. Disillusionment with the world Read the sentences.Lisa was interested in how the weather around the world was changing. So she decided to take a climatology class.In her climatology class, Lisa willstudy the climates of the world.measure the climates of the world.decide which climates of the world are bad.decide which climates of the world are good. In what respect were Ethiopia's and Siam's (Thailand) encounters with European imperialism in the long nineteenth century similar? What are the first two models, e.g. diagrams that affect the entire system, that are built during the CoreProcess to discover and understand the details? a. Workflow diagramb. Work sequence diagramc. Use case diagramd. Class diagram.e. Package diagramf. Screen layouts 5x/3 + 1/3 =12 find x On a wireless router, what gives out IP addresses?DHCPDNSWPAWPS Provide an example of a situation where a student may need to bypass a learning step that cannot be mastered after a reasonable amount of time in order to move ahead. What adaptations might you make? When might this bypass of a step prove to be a mistake? Why might it have been hard for people in the thirteen colonies to join together? Select all that apply.They had different backgrounds.They worked in many kinds of businesses.They practiced the same religion.They owned slaves.They lived in different colonies. ________ assumed that the psychological forces shaping people's behavior are largely unconscious, and that a person cannot fully understand his or her own motivations.A) Abraham MaslowB) Frederick HerzbergC) Sigmund FreudD) John CacioppoE) Karl Marx Actions, attire, grammar usage, and proofreading all affect the ________ of an employee. Many of the top ten leading causes of death in the United States have a strong correlation to what a person decides to eat or not eat during his or her lifespan. What are the top two leading causes of death in the United States? The rock and Pilar edicts were issued by who What epic poem(s) recounts the exploits of a legendary king of Uruk and slayer of the monster Huwawa? a. Epic of Gilgamesh b. Tale of Homer c. Epic of Nimrud d. Iliad and Odysse 7. You go out to dinner and the bill is $40 and you want to leave the server a 15% tip. How much of a tip are you going leave? In an effort to stay awake for an all-night study session, a student makes a cup of coffee by first placing a 200 WW electric immersion heater in 0.400 kgkg of water. Carlos plans to build a grain bin with a radius of 15 ft. The recommended slant of the roof is 25 degrees. He wants the roof to overhang the edge of the bin by 1 ft. What should the length x be? Steam Workshop Downloader