As a construction estimator you estimate the cost of bathroom remodels for a general contractor one client asks for an estimate for two bathroom remodels. you estimate it will cost $20,000 for both remodels when the project is finished all the supplies came in at the estimated budget except for two vanities which were each $100 less than the budgeted amount what was the difference between the actual cost and estimated cost for the two bathroom remodels

As currently written, solving for [tex]x[/tex], we have

[tex]\sqrt{15} - x + \sqrt3 - x = 6[/tex]

[tex]2x = \sqrt{15} + \sqrt3 - 6[/tex]

[tex]x = \dfrac{\sqrt{15} +\sqrt3 - 6}2[/tex]

I suspect you meant to write

[tex]\sqrt{15 - x} + \sqrt{3 - x} = 6[/tex]

Move one of the roots to the other side, then take squares on both sides.

[tex]\sqrt{15 - x} = 6 - \sqrt{3 - x}[/tex]

[tex]\left(\sqrt{15 - x}\right)^2 = \left(6 - \sqrt{3 - x}\right)^2[/tex]

[tex]15 - x = 36 - 12 \sqrt{3 - x} + (3 - x)[/tex]

[tex]12 \sqrt{3 - x} = 24[/tex]

Take squares again

[tex]\left(12\sqrt{3-x}\right)^2 = 24^2[/tex]

[tex]144 (3 - x) = 576[/tex]

[tex]432 - 144x = 576[/tex]

[tex]144x = -144[/tex]

[tex]\boxed{x = -1}[/tex]

Answer:

(x+11), (y+15)

Step-by-step explanation:

the point v gets translated 11 points to the right, so the translation is x+11.

Point v also gets translated 15 points up, so the translation is y+15

The diagram ends at -2

The equation would be 2-4 = -2

Answer:

Step-by-step explanation:

Start on point 2

Ends on point -2

Then:

2 + a = -2

a = -2 - 2

a = -4

then the equation is:

2 + (-4) = 0

2 - 4 = 0

The possible values of the number of dollars in the original pile of money is on the interval (200, 440)

We are told that Jeri finds a pile of money with at least $200.

Now, let x be  the additional amount over the  original amount of $200.

The greater side of the  inequality will be expressed as;

Original  pile  =  (200 + x)

After  she gives away $80 and as such she has;  (120 + x)

And  she gives (1/3)  of  this away  which means she will have;

=  (1/3) (120 + x)

Thus, she  must  have  (2/3)  of this left

=  (2/3)(120 + x) = amount in her right pocket

The lesser  side of the inequality is expressed as;

(x + 200)  -  200   =   x

Thus, we now have  that;

2[120 + x ]/3  >  x

240 + 2x  >  3x

240 > 3x - 2x

240 > x

x < 240

Thus, we can conclude that the original  amount could be on the interval   (200, 440)

The possible values of the number of dollars in the original pile of money is on the interval (200, 440)

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The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

A quadratic function is represented as:

y = a(x - h)^2 + k

Question #6

The vertex of the graph is

(h, k) = (-1, 2)

So, we have:

y = a(x + 1)^2 + 2

The graph pass through the f(0) = -2

So, we have:

-2 = a(0 + 1)^2 + 2

Evaluate the like terms

a = -4

Substitute a = -4 in y = a(x + 1)^2 + 2

y = -4(x + 1)^2 + 2

Question #7

The vertex of the graph is

(h, k) = (2, 1)

So, we have:

y = a(x - 2)^2 + 1

The graph pass through (1, 3)

So, we have:

3 = a(1 - 2)^2 + 1

Evaluate the like terms

a = 2

Substitute a = 2 in y = a(x - 2)^2 + 1

y = 2(x - 2)^2 + 1

Question #8

The vertex of the graph is

(h, k) = (1, -2)

So, we have:

y = a(x - 1)^2 - 2

The graph pass through (0, -3)

So, we have:

-3 = a(0 - 1)^2 - 2

Evaluate the like terms

a = -1

Substitute a = -1 in y = a(x - 1)^2 - 2

y = -(x - 1)^2 - 2

Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

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Figure ABCD was translated 2 units to the right so as to obtain figure A'B'C'D'

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

Figure ABCD was translated 2 units to the right so as to obtain figure A'B'C'D'

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Answer:

first option

Step-by-step explanation:

two solutions means 2 cutting points

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

Additional comment

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the power

From the question, we have the following highlights

The statement that represents the probability of the above highlights is power

Hence, the statement that completes the blank is power

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Answer:

$8 each scarf

Explanation:

Let the selling price for each scarf be x,

Formula:

unit amount(selling price - cost price) = total profit

Stepwise:

100(x - 3) = 500

100(x) - 100(3) = 500

100x - 300 = 500

100x = 500 + 300

100x = 800

x = 8

The height of the center of the frame has to be 15ft.

Slope of the tarp is given as 2/5

The height is said to be 10 feet

The width is given as 25

25/2 = 12.5

AB/BC = 2/5

AB/12.5 = 2/5

cross multiply to find AB

5AB = 25

AB = 5

The height = 10 feet + 5 feet

= 15 feet

Hence the center of the frame has to be 15 feet.

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Answer: 2x + 6y + 22 units

Step-by-step explanation:

The perimeter of a figure is the total length of all the sides of a figure.

Therefore, the perimeter can be found by adding up all the lengths of the figure.

Suppose that P is the perimeter of this figure, then

[tex]P = x+4+x+4+3y+7+7+3y\\[/tex]

Combining like terms, we get

[tex]P = 2x + 6y + 22[/tex]

Since we do not have any information on what the variables are, this is the perimeter of the figure.

The best that describes the type of association shown in the scatter plot is positive linear association.

Given the scatter plot below represents the amount of dog food a brand recommends based on the weight of the dog.

Amount of Food per day cups:

20

40

60

No

We are required to find the type of association shown in the given scatter plot.

It is a positive linear association. The slope is positive so the linear association is also positive and linear mean generally in a line not on a curve like a nonlinear association.

Hence the given graph is of positive linear association.

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The probability of a student taking a math class or a physics class is [tex]0.85[/tex] when the probability of a student taking a math class is [tex]0.70[/tex], the probability of taking a physics class is [tex]0.30[/tex], and the probability of taking a math class and a physics class is [tex]0.15[/tex]

How can we find the probability of taking math class or a physics class ?

Given in the question probability of the student taking class

[tex]p(M)=0.70\\p(P)=0.30\\p( M and P)=0.15[/tex]

So we use the probability union intersection formula

[tex]p(M or P)=p(M)+p(P)-p(M and P)[/tex]

Substitute the values

[tex]p(M or P)=0.7+0.3-0.15\\=0.85[/tex]

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The time it will take before your investment is worth $6000 = 7 years

The amount of money invested per month = $150

Therefore the amount principally invested yearly;

= 12 × 150 = $1,800

Simple interest = $6000

Rate = 4%

Time = ?

Using the formula for Simple interest (SI)= P×T×R/100

Make T the subject of formula,

T = SI × 100/P×R

T = $6000×100/1800×4

T = 600000/7200

T= 83 months/ 12 = 7 years

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Answer:

Step-by-step explanation:

#1

h(2.5)

After 2.5s the ball was at 47ft

#2

g(0)

g(4)

g(7)

Range

#3

There are 12 motorcycles in a company.

According to the statement

The ratio of cars, trucks, and motorcycles is 4:3:2.

The total number of cars and trucks is 42.

then

4x + 3x =42

7x = 42

x = 6.

now put these values in the ratio of vehicles.

Number of cars = 4*6 = 24

Number of truck = 3*6 = 18

Number of motorcycle  = 2*6 = 12

So, There are 12 motorcycles in a company.

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[tex] \frac{y}{x} = \frac{1}{ - 3} \\ - 3y = x[/tex]

[tex] - 3(2) = 6 = x[/tex]

The value of the car in 2014 is 154709

The given parameters are:

Initial, a = 599,99

Rate, r = 7%

The value of the car in t years is

Value = a * (1 + r)^t

This gives

Value = 59999 * (1 + 7%)^t

2014 is 17 years from 1997.

So, we have:

Value = 59999 * (1 + 7%)^14

Evaluate

Value = 154709

Hence, the value of the car in 2014 is 154709

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Answer: (0, 3)

Step-by-step explanation:

     The y-intercept of the line is where the line intercepts the y-axis. In other words, the coordinate value of the line when x is 0.

Answer: (3, 0)

Step-by-step explanation:

y-intercept = y=a number and x=0

So, y=3, x=0.

(3, 0)

Answer:

480

Step-by-step explanation:

First, lets solve for the area of the 3 rectangles in the prism

One can be found by doing 17*9. The other, 8*9, the last 15*9

Next, lets solve for the 2 triangles. This is found with...

1/2(8)(15). This turns out to be 60, and we multiply that by 2 since there are 2 of those triangles.

Add everything up:

72+153+135+120 = 480

Answer:

Shark

Step-by-step explanation:

They have gills,scales,swim bladders to float,most produce eggs and also in ectothermic.

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

Further explanation:

In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.

Since we know that rigid motions preserve both the side length and angle measure, this ultimately implies that congruent segments have the same (equal) length.

Thus, line segment UV ≅ line segment XY i.e UV = XY and as such the side lengths are as follows:

SU = VX = 43 feet.

For the congruent angles, we have:

<J ≅ <K i.e m<J = m<K

m<S = m<V = 38°.

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Answer:

Breadth=8

Length=6

OR

breadth = 6

length=8

Step-by-step explanation:

Area of 4 walls = 2(l+b)h

112=2.4(l+b)

112/8=l+b

14=l+b

l=14-b

Area of base or ceiling=l x b

48=(14-b).b

48=14b-b²

b²-14b+48=0

factorize it and we get

(b-6)(b-8)=0

taking b-6=0

b=6

l=14-6

l=8

The correct option is B. Reread the directions for each section.

If you have time left after completing the test don't reread the directions for each section.

In order to find the various problem kinds and their point values during the test preview, you must read the complete test. Mark the questions that you can answer quickly and easily.

The benefits of previewing the test are-

Therefore, resolve each issue by re-entering the solution into the equation or performing the opposing operation needed to provide the appropriate response. Do not leave the testing room until the bell has rung or after you have gone over each problem twice.

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The complete question is-

All of the following are suggestions of things to do if you have time left after completing the test except

A. Look at your answer sheet to make sure its filled properly

B. Reread the directions for each section

C. Return to the questioms you were unsure of

D. Make sure your answers correspond to the correct questions

Answer:

197.82 m^2

Step-by-step explanation:

The area of a circle is

a = πr^2  The radius is half of the diameter.  They give us the diameter so we need to talk half of that number to use for the diameter.  The diameter is the length from the center of the circle to the edge of the circle.

We will find the area of the big circle and  subtract out the area of the little circle to bind the blue area.

Outer circle

a = πr^2

a = 3.14(12)^2

a = 3.14(144)

a = 452.16

Inner Circle:

a = πr^2

a = 3.14(9)^2

a = 3.14(81)

a =254.34

Lastly, subtract 254.34 from 452.16 to get  197.82

The equation of parabola from graph is y = a(x + 1)² - 4.

According to the statement

we have to determine the parabola equation from the graphical representation.

So,

For this purpose we know that

Parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

The general equation of parabola is y = a(x-h)2 + k

And The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering the vertex given, we have that h = -1, k = -4, hence the equation is:

y = a(x + 1)² - 4

So, The equation of parabola from graph is y = a(x + 1)² - 4.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Determine the equation of the parabola graphed below. Note: be sure to consider the negative sign already present in the template equation when entering your answer. A parabola is plotted, concave up, with vertex located at coordinates negative one and negative four.

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The best explanation for the formula is: A. The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

The area of a sector of a circle equals measure of the central angle subtended by the sector over the angle measure of a full circle multiplied by the area of the circle.

A full circle has an angle measure of 360 degrees.

The area of a circle = pi(r²).

Therefore, the formula for the shaded sector of a circle would be represented by the formula: ∅/360 × πr².

Here, we have:

Central angle (∅) = measure of angle ZYX

Measure of full circle = 360 degrees

Area of a circle = πr². (area formula for the circle that contains the sector)

Therefore, the statement that best explains the formula, (m∠ZYX)/360 × πr², used for finding the shaded sector in the circle is: A. The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

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Answer:

its the first answer "The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector."

Step-by-step explanation: i got it right because im smort