The weight of an object on the moon is about 1/6 of the object's weight on Earth, e. Write an equation the represents the approximate weight of an object on the moon in terms of the object's weight Earth.

9514 1404 393

Answer:

  7 square units

Step-by-step explanation:

There are several ways the area of triangle EBD can be found.

We choose the latter.

__

Pick's theorem says the area of a polygon can be found as ...

  A = i + b/2 -1

where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.

The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...

  A = 6 + (4/2) -1 = 7

The area of ∆EBD is 7 square units.

Answer:

The sample size required is 2188.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

\(CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The margin of error for this interval is:

\(MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The information provided is:

X = 162

n = 462

MOE = 0.02

Assume the confidence level as 95%.

Compute the sample proportion as follows:

\(\hat p=\frac{X}{n}=\frac{162}{462}=0.351\)

The z-critical value for 95% confidence interval is:

\(z_{0.025}=1.96\)

Compute the sample size required as follows:

\(MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

      \(n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\)

         \(=[\frac{1.96\times\sqrt{0.351(1-0.351)}}{0.02}]^{2}\\\\=2187.781596\\\\\approx 2188\)

Thus, the sample size required is 2188.

The length of the rectangular garden given the area and width is 8/7 miles

A rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.

Area of a rectangular garden = length × width

16 = x × 14

16 = 14x

x = 16 / 14

x = 8/7 miles

Therefore, the length of the rectangular garden given the area and width is 8/7 miles.

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Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

8 meters.

Step-by-step explanation:

the formula for the hypotenuse of a right triangle is: \(a^2 + b^2 = c^2\). Where C= hypotenuse and a and b = other sides. We can sub in a and c to get \(6^2 + x^2 = 10^2\\\). Simplify to \(36+x^2=100\). Subtract 36 from both sides to get x^2 = 64. \(\sqrt{64} =8\)

Answer:

24

Step-by-step explanation:

Opposite sides on a rectangle are equal

So 2(3x+3)+2(4x)=104

Now expand, so 6x+6+8x=104

Simplify like terms, 14x+6=104

14x+6-6=104-6

14x=98

14x/14=98/14

x=7

Now just substitute the 7 in for the 3x+3 as thats what we are looking for.

3×7+3=24

Answer:

the answer is B

Step-by-step explanation:

Answer:

B, y = (x+2)^2+3

Step-by-step explanation:

Hi adenpetkowski, well to solve this problem we need to find the equation, so since a vertical parabola have equation of y = a(x-h)^(2)+k, where (h, k) is the vertex, we can use this formula to find the equation for the parabola, so since the vertex is (-2, 3) assuming it's lattice points, the formula now is y = a(x+2)^2+3, next, we can find a by taking a point from the parabola, say, (-1, 4). We then substitute the y and x to find that 4=a(1)^2+3, and we can find that a = 1. so the Formula is y=(x+2)^2+3. B

Thus, there are 169 different ways that a player could choose a diamond and a club.

A deck of 52 bridge cards contains 13 cards in each of the four suits—diamond, spade, club, and hearts—for a total of 52 cards. One of the earliest activities can be thought of as diamond choosing. \($A_1$\) and the second endeavour \($A_2$\) determines which club to join. Apply the adage "If two things, multiply them by two." \($A_1$\) and \($A_2$\) is possible to perform in \($n_1$\) and \($n_2$\) many methods, correspondingly. The total number of ways that are then \($A_1$\) then comes \($A_2$\) being able to be done \($n_1 \times n_2$\) "

Here, \($n_1=13$\) and \($n_2=13$\), In the following rule, change the values as follows:

\($$\begin{aligned}n_1 \times n_2 & =13 \times 13 \\& =169\end{aligned}$$\)

The user can choose a diamond and a club in one of 169 different ways. When I see a SPADE, I should square the item to the left, square the item to the right, add the two items, and then take the square root of that sum.

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hope it helps

see the attachment

Answer:

the answer is A. Remainder: 50 Not a factor

Step-by-step explanation:

Answer:

The denominators of the fractions are 2 and 10.

The fractions with numerators of 1 that have sum of 3 / 5  is calculated below

The sum of the fractions are 3 / 5. Each of the fractions have a numerator of 1. Therefore, let the denominators be x and y

1 / x + 1 / y = 3 / 5

Therefore,

1 / x  + 1 / y = 3 / 5

y + x / xy = 3 / 5

cross multiply

5y + 5x = 3xy

Using hit and trial method,

5(2) + 5(10) = 3(10)(2)

10 + 50 = 60

60 = 60

The values are same.

Therefore, the denominators are 2 and 10.

Step-by-step explanation:

Answer:

the cost per or per liter,one kilogram,one pound e.t c is called pricing in mathematics

Answer:

Definition: Price is the value that is put to a product or service and is the result of a complex set of calculations, research and understanding and risk taking ability. A pricing strategy takes into account segments, ability to pay, market conditions, competitor actions, trade margins and input costs, amongst others.

Answer:

Step-by-step explanation:

Answer:

1320m

hope this helps

have a good day :)

have a good day :)

Step-by-step explanation:

The perimeter of the rectangle created by the given points (-4, 4), (3, 4), (-4, -3), and (3, -3) is 28 units. The length of each side is calculated, and the sum of all four sides gives the perimeter. Option D.

To find the perimeter of the rectangle created by the given points, we need to calculate the sum of the lengths of all four sides.

Let's calculate the length of each side:

Side 1: The distance between (-4, 4) and (3, 4) along the x-axis is 3 - (-4) = 7 units.

Side 2: The distance between (-4, 4) and (-4, -3) along the y-axis is 4 - (-3) = 7 units.

Side 3: The distance between (-4, -3) and (3, -3) along the x-axis is 3 - (-4) = 7 units.

Side 4: The distance between (3, -3) and (3, 4) along the y-axis is 4 - (-3) = 7 units.

Now, let's sum up the lengths of all four sides:

Perimeter = Side 1 + Side 2 + Side 3 + Side 4

Perimeter = 7 + 7 + 7 + 7

Perimeter = 28 units

Therefore, the perimeter of the rectangle created by the given points is 28 units. Option D is correct.

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Answer:

The correct answer is -28.24

Answer:

The answer is below

Step-by-step explanation:

12 inches = 1 ft.

6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.

Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.

The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²

The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²

ε/D = 0.0004 ft./ 0.5 ft. = 0.0008

Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.

The head loss (h) is:

\(h_f=f*\frac{L}{d}* \frac{V^2}{2g}=0.02*\frac{200\ ft}{0.5\ ft} *\frac{(6\ ft/s)^2}{2*32.2\ ft/s^2}=4.5\ ft\)

The pressure drop (Δp) is:

Δp = ρg\(h_f\) = \((62.4\ lbf/ft^3)(4.5\ ft)= 280\ lbf/ft^2\)

Answer:

Undefined

Step-by-step explanation:

Whenever there is a 0 in the denominator, it will always be undefined.

Answer: 5 times 5

Step-by-step explanation: I need 400 points

Based on a system of equations, a pound of apples costs $0.89.

A system of equations is two or more equations solved at the same time or concurrently.

A system of equations is also referred to as simultaneous equations.

                    Apples     Pears     Total Cost

Janice              2              3             $3.85

Lisa                  4              2             $4.94

Let the cost of a pound of apples = x

Let the cost of a pound of pears = y

2x + 3y = 3.85 ... Equation 1

4x + 2y = 4.94 ... Equation 2

Multiply Equation 1 by 2:

4x + 6y = 7.7 ... Equation 3

Subtract Equation 2 from Equation 3:

4x + 6y = 7.7

-

4x + 2y = 4.94

4y = 2.76

y = 0.69

Substitute y = 0.69 in Equation 1 or 2:

4x + 2y = 4.94

4x + 2(0.69) = 4.94

4x + 1.38 = 4.94

4x = 3.56

x = 0.89

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Answer:e

Step-by-step explanation:t

Answer:

exact form : 2√3

decimal form : 3.46410161… or 3.46

hope this helps you!

Answer:

The value of the function is \(\sqrt{12}\). Rounded to the nearest hundredth, the answer is 3.46

Step-by-step explanation:

We are given the value of x, so we simply have to evaluate the function:

\(f(x)=\sqrt{x+4}\)

Substitute 8

\(f(8)=\sqrt{8+4}\)

Add in the radical

\(\sqrt{12}\)

The value of the function is sqrt(12).

Rounded to the nearest hundredth: \(3.46\)

Answer:

10

Step-by-step explanation:

2 1/2 divided by 1/4

1. Make improper

5/2 divided by 1/4

2. Keep Change Flip (Multiply by reciprocals)

5/2x4/1

3. Solve!

20/2

4. Simplify

10/1=10

The sample space of the character's strength is {3,4,5,6,7,8,9,10,11}. P(strength of a character = 4) = 1/9, P(strength of a character = 9) = 2/9, P(strength of a character = 13) = 1/9.

The sample space for the character's strength is {4,5,6,7,8,9,10,11}.

(a) The probability model for the character's strength is as follows:

P(strength of a character = 4) = 1/16

P(strength of a character = 5) = 2/16

P(strength of a character = 6) = 3/16

P(strength of a character = 7) = 4/16

P(strength of a character = 8) = 3/16

P(strength of a character = 9) = 2/16

P(strength of a character = 10) = 1/16

(b) P(strength of a character = 4) = 1/16

P(strength of a character = 9) = 2/16 = 1/8

P(strength of a character = 13) = 4/16 = 1/4

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The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

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The answer is \((x+9)+(x-2)\) .

We have given two statements one is " number increased by nine "

Let the number be x .

Mathematically , first statement is represented by

  x + 9

Second statement is " number decreased by two "

Mathematically , second statement is represented by

  x - 2

According to the question

Sum of first and second statement = \((x+9)+(x-2)\)

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Brainly wasn't letting me post the answer. So I posted the screenshot instead.

Hope this helps you...

Answer:  √20

Step-by-step explanation:

The square root of 20 is 4.47213595 which is a decimal and not a whole number.

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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