Find the mean 89 70 79 77 74 74 79 90 87.

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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Answer:

384cm2

Step-by-step explanation:

surface area

12×12=144

10×12/2=60

60×4=240

240+144=384cm2

Answer:

D

Step-by-step explanation:

Answer:

49 minutes

Step-by-step explanation:

To find the average time the machine was down per day, we need to add up the total time taken and then divide by the number of days. Since there are 5 days, we have:

\(\frac{50 + 30 + 100 + 25 + 40}{5}\)

\(= \frac{245}{5}\)

= 49

So, the average time per day is 49 minutes.

Hope this helped! :)

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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Answer:

Step-by-step explanation:

A scalene triangle has no equal length sides. It also has no equal inside angles. These triangles can be acute (all angles less than 90°), right-angled (one angle is 90°), or obtuse (one angle is more than 90°).

The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

The recursive formula for f(n) is f(n) = 4.25 + f(n - 1), f(0) = 2.25.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let f(n) represent the total cost of shoe rentals for n games, hence:

The recursive formula for f(n) is f(n) = 4.25 + f(n - 1), f(0) = 2.25.

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Answer- The perimeter should be 30 units

Answer:

30 units

Step-by-step explanation:

a = bh

h = a/b

h = 50/10

h = 5

5(2) + 10(2)

10 + 20

30

Answer:

v = -6       v = -4/5

Step-by-step explanation:

(6+v) ( 5v+4) = 0

Using the zero product property

6+v =0  5v+4 =0

v = -6      5v = -4

v = -6       v = -4/5

Using the future value formula, it is found that:

After 20 years you will have approximately $250,971.

The future value formula is given by the following equation:

\(V(n) = P\left[\frac{(1 + r)^n - 1}{r}\right]\)

In which the parameters are given as follows:

From the information given, the values of the parameters are given by:

P = 8000, r = 0.045, n = 20.

Hence the balance of the account in 20 years is given by:

\(V(n) = P\left[\frac{(1 + r)^n - 1}{r}\right]\)

\(V(20) = 8000\left[\frac{(1 + 0.045)^{20} - 1}{0.045}\right]\)

V(20) = $250,971.

Which is the amount you will have.

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Answer:

10 units

Step-by-step explanation:

Distance from Sarah's house to Randi's house = 6 units.

Distance from Randi's house to store = 8 units.

By using Pythagoras theorem:

Distance from Sarah's house to store

\( = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units\)

Answer:

8.2 minutes

So 13 miles would take you roug.hly 8.2 minutes... so going the average speed limit would get you there very

Step-by-step explanation:

Answer:

a.) x²+h²+2xh-8x-8h

b.) h+2x-8

Step-by-step explanation:

A.) you just plug in x+h wherever there's an x

which means you have

(x+h)²-8(x+h)

simplify and get

x²+h²+2xh-8x-8h

we already know what f(x+h) is so we just need to subtract f(x) we have

x²+h²+2xh-8x-8h-x²+8x

simplify and get

h²+2xh-8h

Divide this by h and get

h+2x-8

Answer:

h+2x-8

Step-by-step explanation:

iiiiiiii aaaaaaammmmm ssssuuuurrree

Step-by-step explanation:

we know about vertical angels that are equal

so <2=<4

(in fact they are congruent angles)

we found those only from the definition of vertical angles.

Answer:

60 inches squared

Step-by-step explanation:

This problem can be solved by splitting the arrow into a triangle and a rectangle, and then adding the areas together.

For the rectangle, you can multiply 4 (the base) by 12 (the height) in order to get 48 inches squared.

Then, for the triangle, you can split it into two right triangles since you know that half of the base is 6, and the height is 4. Then, you would get 24 inches squared. Ordinarily you would multiply the height and base of a triangle and then divide by two to get the area, but as both right triangles are exactly the same you would end up getting double of what you dividing by two anyways.

Finally, after adding 48 and 24, you get 72 inches squared.

Answer: Its quadrant 3

Step-by-step explanation:

Hope this helps!

Answer:

Quadrant 3

Step-by-step explanation:

Lets have an example

Lets say we are plotting the point (-4,-4)

so, we would go left on the x-axis, to -4. So we will be in either Quadrant 2 or Quadrant 3

Now we go down 4, so we end up in Quadrant 3

Hence, The answer is Quadrant 3

Hope this helps!^^

Hello! I'll draw the solution of this system of equations:

Now, let's go back to the second equation and replace where's y by 8:

So, the solution will be: (-12, 8) or x= -12 and y= 8.

Answer:

B) 4

Step-by-step explanation:

now the point is (x,y). your y is -15 so you already know it is in the bottom quadrants(3 and 4).

for x, there is no such thing as a negative month so it must be positive.

a positive x and negative y is in the 4 quadrant

EXPLANATION

The statements and reasons will be as shown as follows:

Statement Reason

< 10=<14 Given

< 14=<12 Vertical angles are congruent

< 10=<12 Transitive property

s//t Converse of corresponding angles Theorem

Converse of corresponding angles Theorem: If the corresponding angles formed by two lines and a transversal are congruent, then the lines are parallel.

Answer:

Its skewed right

Step-by-step explanation:

I did the quiz and that was the answer

The distribution of this graph is Uniform.

The correct option is A.

Based on the provided dot plot, where there are 4 dots above each value from 5 to 10, the distribution can be described as uniform.

Uniform distribution refers to a distribution where the data points are evenly spread out across the range without any noticeable skewness or clustering. In this case, since there are an equal number of dots above each value within the given range, the distribution is uniform.

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Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).

Based on the angle-angle similarity theorem (AA), the similar triangles in the image given can be named as: ΔBAC ~ ΔEDF.

When two triangles have the same shape but have different sizes, it means the triangles have corresponding pairs of congruent angles and corresponding pairs of sides that are proportional to each other. The triangles are said to be similar.

The image given show two set of triangles that have two corresponding pairs of congruent angles, based on the angle-angle similarity theorem, it means that they are similar to each other.

Therefore, the similar triangles are:

ΔBAC ~ ΔEDF.

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Answer:

(-2, -2)

Step-by-step explanation:

Firstly you can substitute the y= -6x -14 Directly into the other equation having one equation that looks like this 8x+3(-6x-14)= -22 then solve for X and substitute in the y equation you also get the y value

Answer:

(-2, -2)

Step-by-step explanation:

Answer:

I think the answer is

t=r/r-3

r=t(r-3)

r=tr-t3

Answer:

Step-by-step explanation:

√6 + 3√6 = 4√6

Hope this helps

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