B is the midpoint of ACand E is the midpoint of BD. If A(-9, -4), C(-1, 6), and E(-4, -3), find

the coordinates of D.

​

Answer:

$17

Step-by-step explanation:

5(20) - (8 + 75)

= 100 - 83

= 17.

Deena will get $17 back

Answer:

i think its 2 2/9

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

area is B*H*L

6*8*2 = Area

96 = Area

Answer:

#2, 4, and 5 all have the same value of 64

Step-by-step explanation:

1) 16

3) 256

6) 16,777,216

Answer:

C

Step-by-step explanation:

the expression ! ( factorial ) has the following meaning

n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

Then

4! = 4 × 3 × 2 × 1 = 24

Answer:

x(7y)x(7y)

Step-by-step explanation:

The given expression: 7(xy)7(xy)

i.e. a product of 7 and xy.

The operation used here: Multiplication.

Commutative property of multiplication :-

a\times b=b\times aa×b=b×a for any numbers a and b.

Associative property of multiplication :-

a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.

Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]

=(x7)y=(x7)y [Commutative property of multiplication]

=x(7y)=x(7y) [Associative property of multiplication]

The child will have $9.92 in his piggy bank.

What is basic arithmetic operations?

Basic arithmetic operations are the foundation of mathematics and include addition, subtraction, multiplication, and division. These operations are used to perform mathematical calculations and are necessary for solving a wide range of problems, from simple arithmetic problems to more complex mathematical equations.

The child has $9.30 and spends $0.13 on a snow cone, so their piggy bank balance becomes $9.30 - $0.13 = $9.17.

After finding $0.75 to put in the piggy bank, the child now has $9.17 + $0.75 = $9.92 in their piggy bank.

Hence, the child will have $9.92 in his piggy bank.

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Answer:

A. 2-liter bottle;$1.40

Step-by-step explanation:

We have to find out which option has the higher cost per liter. To do this we must find out how much each option would be if it was a liter.

1st set up each equation
2-liter = $2.80 we can divide by 2 on both sides of the equal sign and we get 1 liter = $1.40.
6(1/2) liter bottles = $3.90 this becomes 3 liters = $3.90 then we divide by 3 on both sides of the equal sign and we get $1.30

2nd we compare
$1.40(2 liter bottle) > $1.30 (6 1/2 liter bottles)

Answer:

Read Below

Step-by-step explanation:

So, 3x^3 - 18x^2 - 9x + 132 = 0

The answer would be

Exact Form: 4, 1 + 2 \3, 1 - 2 \3

Decimal Form:  4,4.6410161...., -2.46410161

Hope this Helps :D

The results of the survey will most likely suffer from wording bias.

The question asked in the survey contains certain characteristics that induce the respondent to think about the question asked in a negative way.

Thus, the word "wasteful" induces respondents to answer the question bearing in mind the negative criticism made by the questioner, which may influence the final answer.

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Answer:

This is question wording bias because the question leads those surveyed toward a desired response.

Answer:21 decrees

Step-by-step explanation:

i gotch you

Answer:

17.8

Step-by-step explanation:

The coordinates of the ends of the image are J'(x, y) = (- 7, 7), K'(x, y) = (- 5, 2) and L'(x, y) = (- 2, 3), whose transformation formula is P'(x, y) = P(x, y) + (0, - 2 · p). A representation of the figures is in the image shown below.

In this problem we find a geometric locus generated by three points on Cartesian plane that is reflected over the x-axis, whose formula is shown below:

P'(x, y) = P(x, y) + (0, - 2 · p)

Where:

If we know that J(x, y) = (- 7, - 7), K(x, y) = (- 5, - 2) and L(x, y) = (- 2, - 3), then the coordinates of the image are:

J'(x, y) = (- 7, - 7) + (0, 14)

J'(x, y) = (- 7, 7)

K'(x, y) = (- 5, - 2) + (0, 4)

K'(x, y) = (- 5, 2)

L'(x, y) = (- 2, - 3) + (0, 6)

L'(x, y) = (- 2, 3)

Now we proceed to graph both the geometric locus and its image.

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Answer:

6(72)= 432 & 8(74.25)=594

594-432=162==> 162-80=82

The total cost of materials used in constructing the box in cents is given by the expression: Total Cost = \(1176/x2 + 960x\).

Let x represent the length of the side of the square base, then the area of the base is given by \(x2\). If the volume of the box is given to be 40ft3, then the height of the box is given by \(40/x2\). The total cost of material used in constructing the box is given by the cost of the base, the cost of the top, and the cost of the sides. The total cost of material in cents is given by the expression:

Total Cost = \(29x2 + 24(40/x2) + 10(4x)(40/x2)\)

The cost of the base is given by \(29x2\), since the material for the base costs 29 cents/ft2. The cost of the top is given by \(24(40/x2)\), since the material for the top costs 24 cents/ft2. The cost of the sides is given by \(10(4x)(40/x2)\), since the material for the sides costs 10 cents/ft2.

Therefore, the total cost of materials used in constructing the box in cents is given by the expression:

Total Cost = \(29x2 + 24(40/x2) + 10(4x)(40/x2) = 1176/x2 + 960x\)

The total cost of materials used in constructing the box in cents is given by the expression: Total Cost = \(1176/x2 + 960x.\)

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Answer:

t = 16.3 s

Step-by-step explanation:

The equation to determine the time it will take to get to the canyon floor is.

H = ut - 1/2(gt²)

In this case

U = initial velocity= 0

H = 1300 metres

g = -9.8 ms^-2

1300= 0 - 1/2(-9.8t²)

1300= 9.8t²/2

1300*2= 9.8t²

2600= 9.8t²

2600/9.8= t²

265.306= t²

√265.306 = t

16.288 =t

To one decimal place

t = 16.3 s

Answer:

m = p/5 - 10

Step-by-step explanation:

Divide both sides by 5

P/5 = m + 10

Subtract 10 from both sides.

P/5 - 10 = m

Switch sides.

m = p/5 - 10

with help from yk2neat

Answer:

12

Step-by-step explanation:

She's able to serve 4 people per pizza and if she has 3 pizzas then its 4 times 3 and that's 12

Step-by-step explanation:

\(\displaystyle \int_{0}^{2\pi}\cos^5x\:dx\)

\(\displaystyle \int_{0}^{2\pi}\cos^5x\:dx\)

\(\displaystyle \int_{0}^{2\pi}\cos x.\cos^4x\:dx\)

\(\displaystyle \int_{0}^{2\pi}\cos x(\cos^2x)^2\:dx\)

\(\because \: \cos^2x=1-\sin^2x\)

\( x(1-\sin^2x)^2\:dx\)

Now, we can write,

\(\displaystyle \int_{0}^{0}(1-t^2)^2\:dt\)

As we know,

\(\displaystyle \int_{0}^{0}f(x)\:dx=0\)

So,

\(\displaystyle \int_{0}^{0}(1-t^2)^2\:dt=0\)

So, answer is Zero (0).

\(\displaystyle \int \sin x\:dx=-\cos x+C\)

\( \sf{\displaystyle \int \cos x\:dx=\sin x+C}\)

\( \sf{\displaystyle \int \tan x\:dx=ln|\sec x|+C}\)

Answer:

a. 1,323,002

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Find the number with the equation 6(x + 8) = 18

solve for x to get -5

Step-by-step explanation:

6*(x+8)=18

x+8=18/6=3

x=3-8=-5

prove

(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)=

3+3+3+3+3+3=18

Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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Answer:

The answer is below

Step-by-step explanation:

Let Y represent the profit per day, and x represent the number of bar sold per day. Hence:

Y = 0.25x - 2

a) The mean is given as:

\(\mu_y=E(Y)=E(0.25X-2) = 0.25E(X)-2\\\\But\ E(X)=mean\ of\ machine=125. Hence:\\\\E(Y)=0.25(125)-2=29.25\\\\E(Y)=\$29.25\)

b) The standard deviation of y is:

\(\sigma_y=var(0.25X-2)\\\\\sigma_y=0.25\sigma(X)\\\\but\ \sigma_X=7,hence:\\\\\sigma_y=0.25(7)=1.75\\\\\sigma_y=\$1.75\)

The mean for Y is $29.25 and this can be determined by using the given data and also by using the formula of mean.

Given :

The equation that represents the mean for Y is:

Y = 0.25x - 2

where x is the number of bars sold in a day.

Now, the mean is evaluated as given below:

\(\rm \mu_y = E(Y) = E(0.25X-2)=0.25E(Y)-2\)

where E(X) = 125

\(\rm \mu_y = 0.25(125)-2=29.25\)

E(Y) = $29.25

Now, the standard deviation is given by the formula:

\(\sigma_y=0.25\sigma_x\)

where \(\sigma _x = 7\).

\(\sigma_y=0.25\times 7\)

\(\sigma_y=1.75\)

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Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer:

I would say C: Finding the perimeter of a garden

Step-by-step explanation:

You don't need to use quadratic functions to find the perimeter of a garden. There are uses of quadratic functions in all the other options.

Quadratic functions are often applied in solving real life models.

It is least likely to apply the quadratic function in (c) finding the perimeter of a garden

The height of a ball follows a parabola, hence quadratic function would definitely be applied.

The minimum cost and the maximum surface areas are optimizing functions; this also means that quadratic function would absolutely be applied.

However, the perimeter of a garden is simply the sum of the side lengths.

Except in few cases, when the side lengths are unknown, the perimeter can be calculated easily.

Hence, it is least likely to apply the quadratic function in (c) finding the perimeter of a garden

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9514 1404 393

Answer:

  41 km

Step-by-step explanation:

The first car is 32.5 km north after 1/2 hour. The second car is 25 km east after 1/2 hour. The Pythagorean theorem tells you the straight-line distance between them:

  d = √(32.5² +25²) = √1681.25 ≈ 41.00

The cars are about 41 km apart after 1/2 hour.

The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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1) Since no other information has been given, we need to assume that the numbers used in this Sequence are whole numbers.

2) Therefore, we can write this: