30 POINTS. Given ABC with coordinates A(-6,1), B(4,1), and C(4,-3). the ordered pair (9,y) is on the line ac. Enter the value of y for this ordered pair.

Answers

Answer 1

Answer:

The value of y is -5, so the ordered pair is (9, -5).

Step-by-step explanation:

To determine the value of y for the ordered pair (9, y) on the line AC, we first need to find the equation of the line AC.

To find the slope of the line AC, substitute the points A and C into the slope formula:

[tex]\textsf{Slope}\;(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y_C-y_A}{x_C-x_A}=\dfrac{-3-1}{4-(-6)}=\dfrac{-4}{10}=-\dfrac{2}{5}[/tex]

To determine the equation of line AC, substitute the found slope and one of the points into the point-slope formula:

[tex]\begin{aligned}y-y_1&=m(x-x_1)\\\\y-1&=-\dfrac{2}{5}(x-(-6)\\\\y-1&=-\dfrac{2}{5}x-\dfrac{12}{5}\\\\y&=-\dfrac{2}{5}x-\dfrac{7}{5} \end{aligned}[/tex]

Now we have found the equation of the line AC, to determine the value of y for the ordered pair (9, y), substitute x = 9 into the equation:

[tex]\begin{aligned}y&=-\dfrac{2}{5}(9)-\dfrac{7}{5}\\\\&=-\dfrac{18}{5}-\dfrac{7}{5}\\\\&=\dfrac{-18-7}{5}\\\\&=\dfrac{-25}{5}\\\\&=-5\end{aligned}[/tex]

Therefore, the value of y for the ordered pair is y = -5.

So the ordered pair is (9, -5).

30 POINTS. Given ABC With Coordinates A(-6,1), B(4,1), And C(4,-3). The Ordered Pair (9,y) Is On The

Related Questions

1) Given a sample of lifetime of the light bulbs X1, X2, X3,. X36) with LX =1800 hours, ›X2-90560 and level of confidence c = 95%. Find the Point Estimate X =

Answers

Step-by-step explanation:

if the length of a Square Garden is 49 feet than what it is area

a mother is 33 years older than her twin children. in 3 years, her age will be twice the amount of both her childrens combined. how old are the twins now?

Answers

Answer:

8 years old

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

Let the age of the mother be x and twins be y.

Set up two equations as per information given:

1) x - y = 33, (age relation now)2) x + 3 = 2(y + 3 + y + 3)   (relation in 3 years time)

Simplify the second equation and substitute x = y + 33:

x + 3 = 2(2y + 6)x + 3 = 4y + 12y + 33 + 3 = 4y + 12y + 36 = 4y + 124y - y = 36 - 123y = 24y = 8

The twins are 8 now.

Please hurry!!
A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The
100
function f(x)= -5
X represents the remaining time in minutes needed to fill the tank. How is the graph of the
parent function (x)-
-
100
transformed to create the graph of the function (x)=
X
O It is a vertical stretch with a factor of 100 and a translation 5 units right.
O It is a vertical stretch with a factor of 95.
O
It is a vertical stretch with a factor of 100 and a translation 5 units down.
It is a vertical stretch with a factor of 500.
-5?

Answers

The function is transformed and it is a vertical stretch with a factor of 100 and a translation 5 units down

Given data ,

Let the transformed function be represented as f' ( x )

Now , The pace of filling a 100-gallon fish tank is x gallons per minute. The tank has been filling for five minutes already.

The parent function's graph is f (x) = x.

Consequently, the function's graph is provided as

f ( x ) = ( 100/x ) - 5

The graph is now 100 times longer vertically, giving us f (x) = 100/x.

By translating by 5 units down, we obtain f (x) = (100/x) - 5.

Hence , it is a translation of 5 units down and a vertical stretch of 100.

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Select the correct answer. What is 12% of 50? A. 6 B. 7 C. 10 D. 12

Answers

Answer:

A. 6

Step-by-step explanation:

We know that 12% can be written in fraction form as [tex]\frac{12}{100}[/tex]. So, 12% of 100 is [tex]100\cdot\frac{12}{100} = 12[/tex].

We also know that 50 is half of 100. Therefore, 12% of 50 is exactly half of 12% of 100:

[tex]12\% \cdot 50[/tex]

[tex]= \frac{1}{2}(12\% \cdot 100)[/tex]

[tex]= \frac{1}{2}(12)[/tex]

[tex]\boxed{=6}[/tex]

The difference of a number and 4/3 is 11/3. What is the number?

Answers

Answer:

n = 5

Step-by-step explanation:

Let n represent the unknown the numberSince we know the difference of n and 4/3 is 11/3, we can use the following equation to solve for n:  n - 4/3 = 11/3

Step 1:  Multiply both sides by 3 (i.e., the least common multiple of 3) to clear the fractions:

3(n - 4/3 = 11/3)

3n -12/3 = 33/3

3n - 4 = 11

Step 2:  Add 4 to both sides:

(3n - 4 = 11) + 4

3n = 15

Step 3:  Divide both sides by 3 to solve for n:

(3n = 15) / 3

n = 5

100 Points! Graph the function. State the domain and range of the function. Photo attached. Thank you!

Answers

Answer:

Domain:  [tex]x\geq -2[/tex]

Range: [tex]y\geq 0[/tex]

Step-by-step explanation:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

have a great day and thx for your inquiry :)

Triangle UVW is drawn with vertices at U(−1, 1), V(0, −4), W(−4, −1). Determine the coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° clockwise.

U′(1, −1), V′(0, 4), W′(4, 1)
U′(−1, −1), V′(−4, 0), W′(1, 4)
U′(1, 1), V′(−4, 0), W′(−1, 4)
U′(−1, 1), V′(0, −4), W′(−4, −1)

Answers

The coordinates of the vertices for the image of the triangle U′V′W′ is

U′(1, 1), V′(−4, 0), W′(−1, 4)

How to find the coordinates after transformation

To rotate a point 90 ° clockwise about the origin, we can apply the transformation (x, y) → (y, -x)

So applying this transformation to each vertex of triangle UVW we get

U(−1, 1) → U' = (1, 1)

V(0, −4) → V' = ( -4, 0)

W(−4, −1) → W' = (-1, 4)

Therefore the coordinates of the vertices for the image triangle U'V'W' are U′(1, 1), V′(−4, 0), W′(−1, 4)

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can we express 1,012 as the sum of two consecutive number?​

Answers

Answer:

Step-by-step explanation:

Let's check if we can express it or not ;

Let the two consecutive number be x and x + 1 .

x + x + 1  =  1012

2x + 1 = 1012

2x = 1011

x = 505.5

Then two consecutive numbers are 505.5 and 506.5

It isn't said that number should be integer ? It can be anything . That is why " yes " would be the correct answer .

Find the x-coordinate of the critical point for the function
guys pls help me thank you sm

Answers

Step-by-step explanation:

You have to study the f'(x)

f'(x)= (e^x - 2)÷(e^x-2x)

it has to be = 0

(c.e.: e^x > 2x)

e^x - 2=0

e^x = 2

x= ln 2

2. The base of a solid is a region bounded by the curve x^2/8^2+y^2/4^2=1(an ellipse with the major and minor axes of lengths 16 and 8 respectively). Find the volume of the solid if every cross section by a plane perpendicular to the major axis (x-axis) has the shape of an isosceles triangle with height equal to 1/4 the length of the base

Answers

Answer:

  85 1/3 cubic units

Step-by-step explanation:

You want the volume of a solid whose base is the ellipse in the x-y plane with axes 16 and 8 units and whose cross sections perpendicular to the major axis are isosceles triangles with height equal to 1/4 of the cross section dimension parallel to the minor axis.

Area

The isosceles triangle cross section has base 2y and height (2y)/4, so area of ...

  A = 1/2bh

  A = (1/2)(2y)(2y/4) = y²/2

Volume

A differential of volume is the product of the area of a slice and its thickness:

  dV = A·dx = (1/2)y²·dx

The total volume is the integral of this differential of volume over the interval x ∈ [-8, 8]. That integral will be twice the integral on the interval [0, 8}, so we have ...

  [tex]\displaystyle V=2\int_0^8{\dfrac{y^2}{2}}\,dx=16\int_0^8{\left(1-\dfrac{x^2}{64}\right)}\,dx=16\left((8-0)-\dfrac{8^3-0^3}{3\cdot64}\right)\\\\\boxed{V=85\dfrac{1}{3}\text{ cubic units}}[/tex]

__

Alternate computation

The volume of half an ellipsoid with semi-axes 2, 4, and 8 is ...

  V = (1/2)(4/3)π(abc)

  V = (1/2)(4/3)π(2)(4)(8) = 128π/3

The area of half an ellipse with semi-axes 2 and 4 is ...

  A = (1/2)π(ab)

  A = (1/2)π(2)(4) = 4π

The area of a triangle with the same semi-axes is ...

  A = 1/2bh = (1/2)(2)(2·4) = 8

Then the ratio of triangle area to ellipse area at each cross section is ...

  triangle / ellipse = 8/(4π) = 2/π

The volume of the solid of interest is estimated to be this factor multiplied by the volume of the half-ellipsoid:

  (2/π)(128π/3) = 256/3 = 85 1/3 . . . . same as above

4. Gilbert generated the shape below on a computer. The shape contains an isosceles triangle with a
height of 8 centimeters. Determine the area of the shape to the nearest tenth of a square centimeter.
10 cm
8 cm
12 cm
10 cm

Answers

the area of the shape to the nearest tenth of a square centimeter is 12cm². Opti C

How to determine the value

The formula for calculating the area of a an isosceles triangle is expressed as;

A = 1/2bh

Such that the parameters are expressed as;

A is the area of the triangleb is the base of the triangleh is the height of the triangle

From the information given, we have that;

base = 3 centimeters

Height = 8 centimeters

Substitute the values, we have;

Area = 1/2 ×8 × 3

Multiply the values, we have;

Area = 24/3

Divide the values

Area = 12 cm²

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If a family borrows 43,008 for an addition to their home and the loan is to be paid off in monthly payments over 9 years how much should each payment be?​

Answers

The family's monthly payment should be $504.70.

To calculate the monthly payment for a loan

We can use the following formula:

[tex]P = (r * A) / (1 - (1 + r)^(-n))[/tex]

where

P = a recurring paymentr is the ongoing interest rate.A = loan amountn = total number of payments

In this instance, the total loan amount is $43,008, the total number of payments is 9 years * 12 months/year = 108 months . The yearly interest rate must first be divided by 12 to determine the monthly interest rate. Assume that there is a 5% yearly interest rate.

[tex]r = 0.05 / 12 = 0.00417[/tex]

Now we can substitute the values into the formula and solve for P:

[tex]P = (0.00417 * $43,008) / (1 - (1 + 0.00417)^(-108))[/tex]

= $504.70

Therefore, the family's monthly payment should be $504.70.

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What is the value of x?

Answers

The value of x in the circle is,

⇒ x = 25.6

We have to given that;

An angle is, 23 degree

Hence, We can formulate;

(14x - 22) + 23 = 360

14x + 1 = 360

14x = 359

x = 25.6

Thus, The value of x in the circle is,

⇒ x = 25.6\

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Which statement about the following equations is correct?
y = 2x + 5
y
O The equations are independent because the lines intersect in one point.
The equations are dependent because the lines are the same line.
O The equations are independent because the equations represent parallel lines.
O The equations are dependent because the lines do not intersect.
= -2x+5

Answers

Answer:

Step-by-step explanation:

The correct statement about the given equations is: "The equations are dependent because the lines are the same line."

In the equation y = 2x + 5, the slope is 2, which means the line has a positive slope and is upward sloping.

The y-intercept is 5, indicating that the line intersects the y-axis at the point (0, 5).

The equation y = -2x + 5 is equivalent to y = 2(-x) + 5, which has the same form as the first equation but with a negative slope.

However, the equations are still dependent because when you simplify the second equation, you obtain the first equation.

These two equations represent the same line with a different slope. Therefore, they are dependent, and any point that satisfies one equation will satisfy the other equation as well.

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In a class of 30 students, 12 have a cat and 19 have a dog. There are 6 students who
do not have a cat or a dog. What is the probability that a student chosen randomly
from the class has a dog?

Answers

Answer:

P(dog) = 12/30 = 0.4 or 40%

Step-by-step explanation:

We can use the formula for probability:

P(dog) = number of students with a dog / total number of students

To find the number of students with a dog, we can use the fact that 19 students have a dog and 6 students have neither a cat nor a dog:

number of students with a dog = total number of students - number of students with no pets - number of students with only a cat

number of students with a dog = 30 - 6 - 12 = 12

So the probability that a student chosen randomly from the class has a dog is:

P(dog) = 12/30 = 0.4 or 40%

Okay so this is for my portfolio. I have two figures; a rectangular prism (think cereal box) and a cylinder. Is it possible for the cylinder to have a larger VOLUME than the prism, but a smaller measurement of cubic inches?? (Please say yes )

Answers

Step-by-step explanation:

No, it is not possible. Cubic inches are a measurement of volume. If the cylinder has a larger volume, then it also has more cubic inches.

Answer:

no TWT

Step-by-step explanation:

Because these solids have the same height and the same cross-sectional areas at every level, the solids have the same volume due to Cavalieri's principle. The volume of the prism is: V = A B a s e ⋅ h = π r 2 h Therefore, the volume of the cylinder is: V = π r 2 h This should make sense because a cylinder is essentially a circular prism. Also Its cool that we both go to Connexus, i saw it from an old post of yours <3

need answer please.

Answers

The area is 96 square inches.

Answer:

64[tex]ft^{2}[/tex]

Step-by-step explanation:

Calculate the (lateral) faces that need to be stained.
[tex]a = lw[/tex]
Assuming that you have to stain all four sides and not just the facade, find the surface area of each face and then find the sum. That sum will be your answer.
Apply the formula given above.
4*4 = 16
the area of one face is 16[tex]ft^{2}[/tex]
multiply 16 by 4 = 64

An economy's consumer price index (CPI) is described by the function f(t)=-0.1t^3+3t^2+500 where t=0 corresponds to the year 1995. Find the point of inflection of the function.

Answers

Answer: t=10, or in 2005

Explanation: the point of inflection refers to when a function switches concavity (i.e. up or down). If the second derivative of f is positive, the graph is concave up, and if it is negative, the graph is concave down. This means that the graph switches concavity when the second derivative equals zero.

To find the second derivative (f’’(t)), we shall first find f’(t), or the first derivative. Because each term is separated by addition/subtraction, we can take the derivative of each term separately. Using the power rule, ((d/dx)(-0.1t^3)) = -0.1(3)(t)^(3-1)= -0.3t^2. For d/dx of 3t^2, use the power rule again: 3(2)t^(2-1) = 6t. The derivative of 500 is 0 because it is a constant. f’(t) = -0.3t^2 + 6t.

Now we shall do this process again to find the second derivative. For the first term, d/dx of -0.3t^2 = -0.3(2)t^(2-1) = -0.6t. For 6t, d/dx equals 6(1)t^(1-1) = 6. f”(t) = -0.6t + 6

Now that we have the second derivative, we set it equal to zero and solve for t. 0 = -0.6t + 6, -6 = -0.6t, t = 10. Because t = 10 years, the point of inflection occurs in 1995 + 10 = 2005.

Find the areas of the sectors formed by \angle ACB .

A circle is shown. The measure of central angle A C B is 131 degrees. The radius is 3 centimeters. Point D is on the circle but not on arc A B.

Give the exact answers in terms of \pi . Do not approximate the answers.

Area of small sector =
cm2

Area of large sector =
cm2

Answers

The area of the small sector is (131/360) * pi * 3^2 = 3.422 cm^2 (rounded to 3 decimal places).

To find the area of the large sector, we need to subtract the area of triangle ADB from the area of the circle sector ACB. We can use the Law of Cosines to find the length of segment AD:

AD^2 = AB^2 + BD^2 - 2 * AB * BD * cos(ACB)
AD^2 = 3^2 + 2^2 - 2 * 3 * 2 * cos(131)
AD^2 = 13 - 12cos(131)
AD = sqrt(13 - 12cos(131))

The area of triangle ADB is (1/2) * AB * AD * sin(DAB) = (1/2) * 3 * sqrt(13 - 12cos(131)) * sin(49) = 1.786 cm^2 (rounded to 3 decimal places).

The area of the large sector is pi * 3^2 - 1.786 = 23.556 cm^2 (rounded to 3 decimal places).

Therefore, the area of the small sector is 3.422 cm^2 and the area of the large sector is 23.556 cm^2.

Type the correct answer in the box.
Rewrite the quadratic equation in the form y = a(x - h)² + k

Answers

The quadratic equation can be written as follows:

y = 5(x - 3)² + 50.

How to rewrite the quadratic function?

The quadratic function in the context of this problem is defined as follows:

y = 5x² - 30x + 95

The coefficients of the quadratic function are given as follows:

a = 5, b = -30 and c = 95.

Then the x-coordinate of the vertex is given as follows:

h = -b/2a

h = 30/10

h = 3.

The y-coordinate of the vertex is given as follows:

h = 5(3)² - 30(3) + 95

h = 50.

Hence the equation is:

y = 5(x - 3)² + 50.

Missing Information

The quadratic function in the context of this problem is defined as follows:

y = 5x² - 30x + 95

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Select ALL the correct answers. Which of the following statements are true about the equation below? The graph of the quadratic equation has a maximum value. The extreme value is at the point (7,-3). The graph of the quadratic equation has a minimum value. The solutions are . The extreme value is at the point (3,-7). The solutions are .

Answers

The correct statements regarding the quadratic function x² - 6x + 2 are given as follows:

The graph of the quadratic equation has a minimum value.The solutions are: x = 0.35 and x = 5.64.The extreme value is at the point (3,-7).

How to analyze the quadratic function?

The quadratic function in the context of this problem is given as follows:

y = x² - 6x + 2.

The coefficients are given as follows:

a = 1, b = -6, c = 2.

As a > 0, the function is a concave up quadratic function, hence it has a minimum value.

Using a calculator with the given coefficients, we have that:

The solutions are: x = 0.35 and x = 5.64.The vertex is: (3, -7).

Missing Information

The function is:

y = x² - 6x + 2.

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Fill the boxes to show the numbers marked with arrows on the number line. 1 +TH++​

Answers

The inequality that of the number line is x < 8

Stating the inequality that represents the number line

From the question, we have the following parameters that can be used in our computation:

The number line (see attachment)

On the number line, we have the following

Open circle on 8Arrow points to the left of 8

The above means that we make use of the less than symbol

This is because the open circle uses < or > while arrows pointing left means <

So, we have

x < 8

Hence. the inequality that best describes the included values of x is x < 8

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I need the answer and work for these please

Answers

Answer:

Step-by-step explanation:

Hello!

Start With Plugging the numbers in (5) Now use your units to divide and multiply to get your answer

There are 12 people on a basketball team. The coach chooses 3 players to play
three different positions. How many ways can the players be chosen?

Answers

Answer:

There are 12 ways to choose the first player, 11 ways to choose the second player, and 10 ways to choose the third player. However, this counts each group of 3 players 3 times, since the order in which the players are chosen doesn't matter. Therefore, the number of ways to choose 3 players from 12 is  

3×2×1

12×11×10

=220.

Step-by-step explanation:

What is the area of DEF? D to F is 7.65, d to e is 2.12 and e to f is 6

Answers

To find the area of triangle DEF, we can use Heron's formula, which states that the area of a triangle with sides of lengths a, b, and c is:

A = sqrt(s(s-a)(s-b)(s-c))

where s is the semiperimeter of the triangle, defined as:

s = (a + b + c)/2

In this case, we have:

a = DE = 2.12
b = EF = 6
c = DF = 7.65

The semiperimeter is:

s = (a + b + c)/2 = (2.12 + 6 + 7.65)/2 = 7.885

Therefore, the area of triangle DEF is:

A = sqrt(s(s-a)(s-b)(s-c)) = sqrt(7.885(7.885-2.12)(7.885-6)(7.885-7.65)) = 9.63

The area of triangle DEF is approximately 9.63 square units.

In the figure below, m3=133°. Find mZ1, mZ2, and m 2 4.
4
1
3
2
m 21 =
m 22 =
m 24 =

Answers

The measure of the angles ∠1, ∠2, and ∠4 will be 133°, 47°, and 47°, respectively.

Given that:

Angle, ∠3 = 133°

Two angles are said to be supplementary angles if their sum is 180 degrees. Then we have

∠3 + ∠4 = 180°

133° + ∠4 = 180°

∠4 = 47°

When two lines intersect, then their opposite angles are equal. Then we have

∠4 = ∠2

∠2 = 47°

∠1 = ∠3

∠1 = 133°

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31. Find the area of the shape below: 15m 3m (a) 87m² (b) 102m2 (c) 152m² (d) 18m² (e) 207m2 4m 6m 6m 3m​

Answers

Hello!

see attachment

A1 = green

A2 = yellow

A3 = red

A1 = 15m * 3m = 45m²

A2 = (15m - (6m + 6m)) * 4m = 3m * 4m = 12m²

A3 = 15m * 3m = 45m²

A = A1 + A2 + A3

= 45m² + 12m² + 45m²

= 102m²

Answer:

b. 102 m²

Step-by-step explanation:

In order to find the area of shape.

Let's separate it into three rectangle.

We know that

Area of rectangle: Length*breadth

Using this

Area of left rectangle=15*3=45 m²

Area of middle rectangle=4*(15-6-6)=12 m²

Area of right rectangle= 15*3=45m²

Now

Total Area of shape= 45m²+12m²+45m²=102m²

Classify the triangle with angles measuring 21°, 69°, and 90°

Answers

Answer:

This triangle is a right scalene triangle.

Step-by-step explanation:

Because this triangle has a 90° angle, it is a right triangle. As all the angles are different, we can see that it is a scalene triangle as well.

Dr. Salaam orders 39 grams of marijuana for a patient. Each bud is about 0.07 grams of marijuana.

How many buds will each patient need and If the dispensary charges $530 an ounce for the strain the patient likes, how much will the patient have to pay in total? (28.4 grams = 1 ounce)

Answers

The patient will have to pay approximately $727.74 in total.

How to solve for the  dispensary charges

Total grams of marijuana: 39 grams

Weight of each bud: 0.07 grams

Number of buds = Total grams of marijuana / Weight of each bud

Number of buds = 39 / 0.07 ≈ 557.14

Since the patient can't purchase a fraction of a bud, they will need 558 buds (rounding up).

Now, let's calculate the total cost.

Dispensary cost: $530 per ounce (28.4 grams)

First, we need to find the cost per gram:

Cost per gram = $530 / 28.4 ≈ $18.66

Total grams of marijuana: 39 grams

Total cost = Cost per gram * Total grams of marijuana

Total cost = $18.66 * 39 ≈ $727.74

The patient will have to pay approximately $727.74 in total.

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A company bought a photocopier for R150 00 on 1 july 2022,they will use the old photocopier as a trader in when they replace it with the a similar new photocopier in 5 years time on 2027.

calculate the trade in value of the old photocopier after 5 years,if it depreciates at a rate of 9% p.a on straight line method.​

Answers

Answer:

do it yourself what do you do while teacher is teaching

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why did texas reject the option to extend the affordable care act (aca) to those who live 138% under the poverty line? Solve the application.A mason's assistant's rate of pay is $0.75 per cubic foot of earth moved. He moves 220 cubic feet of earth to dig a trench. What is his pay for this job?$_________ 31. Find the area of the shape below: 15m 3m (a) 87m (b) 102m2 (c) 152m (d) 18m (e) 207m2 4m 6m 6m 3m A shipping plane is flying from New York to Berlin, Germany. The total distance of the flight is 3960 miles. The flight is scheduled to reach Berlin in 7 hours. The airplane has traveled 2100 miles in the first 5 hours Developed at the school of Notre Dame organism is a style of decorated singing in which one or more music line happen simultaneouslyTrueFalse in our freely competitive economy, businesses have no limits on how they can attract customers. T/F 3.2.2 Determine how many boxes of tiles Tshego will need if an extra 10% of the number of tiles must be added for cutting and breakages. (9) To code a constructor for a class named Cart that requires two arguments, you start with this code: a. publio funotion Cart (Sargl, Sarg2) b. public function construct (Sargl, Sarg2) c. private function Cart(Sargl, Sarg2) d. private function construet (Sargi, Sarg2) Find each set if R is the universal set. {xR:[tex]x^2\geq 0[/tex]}^c I need the answer and work for these please this group on the home tab contains a button for selecting the entire document. A legal floor price set above the market-clearing price for good would tend to ______a. protect suppliers from unfair competition and predatory pricing.b. lead to a shortage of that good.c. lead to a surplus of that good.d. all of the above the contents of a text box may be cleared in visual basic code by __________. when it produces and sells 80 units of output, a competitive firms average total cost is $25 and its profit is $480. what is the firms total revenue if it sells 85 units of output? in 2014, prisoners were serving about ________ percent of their sentences before being released. where do secondary atmospheres come from? choose one or more: a. trees b. volcanoes c. comets d. hydrogen from the central star e. humans which two actions can be taken when configuring windows firewall? (choose two.) the minimum number of calories the body needs to maintain bodily functions while at rest is called: vlad the impaler promotes many of his soldiers into generals (don't ask what happened to the past generals). vlad was told by his informers that the proportion is about 62%, but wants to estimate the proportion better by sampling soldiers until her margin of error for a 97% confidence interval is less than 0.007. how many soldiers should haley sample? an electric water heater consumes 5 kw for 2 hours per day. what is the cost of running it for one month (30 days) if electricity costs 12 cents/kw.h?