What is the median of this set of values? 6, 8, 10, 8, 4, 2, 12
A. 4
B. 6
C. 7
D. 8

Step-by-step explanation:

John has earned a 77, 76, and 84 on his first three projects of the semester.

He hopes to have an B quiz average (80 or above).

We need to find the lowest score John can make on his fourth and final project. Let the score is x.

Average = sum of numbers/total numbers

\(80=\dfrac{77+76+84+x}{4}\\\\320=237+x\\\\x=83\)

So, he must score 83 or more on his fourth project so as to make average 80 re above.

Answer: 814685.

Step-by-step explanation:

After one year: \(p_{1} = p_{0} + 0.085p_{0} = (1+0.085)p_{0}\).

After two year: \(p_2 = p_1+0.085p_1 = (1+0.085)^{2}p_0\).

...

After \(n\) year: \(p_n= (1 + 0.085)^{n}.p_0\).

In this case \(n = 14\), so \(p_{14} = (1+0.085)^{14}p_0=814684.9295\). By rounding up we have the answer \(814685\).

Answer:

345963128

Step-by-step explanation:

very there is very nice namiuf

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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Answer: $600 total .                    

Answer:

b= -18

Step-by-step explanation:

x=3, y= -6, m=4

y=mx+b

-6 = 4 x 3 + b    Solve for b

-6 = 12 + b

-6-12 = b

b= -18

Answer:

b = -18

Step-by-step explanation:

    Slope = m = 4

Plugin the value of slope in the above equation.

    y = 4x + b

Now, the line passes through the point (3 , -6). Substitute x and y coordinates in the above equation.

     -6 = 4*3 + b

     -6 = 12 + b

      b = -6 - 12

      b = -18

\(\sf \boxed{\bf y-intercept = -18}\)

Answer:

Por 1 kg: $1.15

Por 2 kg: $2.30

Por 5 kg: $5.75

Por 10 kg: $11.50

Lo siento si esta respuesta no es correcta, si lo es o no, por favor dímelo en los comentarios!

Step-by-step explanation:

Primero, divida $ 3.45 por 3, lo que le dará $ 1.15.

Luego, multiplique $ 1.15 a 1, 2, 5 y 10.

(Respondí esto usando un traductor, por lo que mi gramática podría estar un poco desviada. ¡Espero que esto ayude!)

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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Answer:

I think its

             T

 R--------Q----------A

             U

Step-by-step explanation:

Because RA as a line bisects TU

In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:

Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.

Establish the initiating vertex as the current vertex.

Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.

Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.

Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.

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ΔFHE = ΔKHE, as the ∠FHE = ∠KHE. When two triangles contain the same two sides and include the same Angle, the remaining sides, Angle, and area are likewise identical, which means they're congruent.

∠FHE ≅ ∠KHE is an Identical part.

L(FE) = L(KE), as two Congruent angles have equal sides

L( FH) = L(KH)

L(EH)=L(EH),  Common part in a figure.

Congruent angles are two or more angles that are exactly the same. As a result, the lengths of these angles are identical.

hence, ΔFHE = ΔKHE, as the ∠FHE = ∠KHE. When two triangles contain the same two sides and include the same Angle, the remaining sides, Angle, and area are likewise identical, which means they're congruent.

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The correct option is Option D: Yes, the graph passes the vertical line test.

The function is a relationship between two distinct sets X and set Y which can be many-one or one-one. here set X is called the domain and set Y is called the codomain.

The vertical line test states that

If we draw a straight vertical line( which is also parallel to the y-axis) and it touches the graph at only one point at all locations, then that relation is said to be a function and this relation will be also one-one.

So here in this function shown in the graph.

If we draw a vertical line parallel to the y-axis in this at any location then it crosses the graph only once. So, it passes vertical line test. And this graph is a function. Therefore option D is correct.

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Answer:

t = I/(Pr)

Step-by-step explanation:

We divide P*r on both sides to isolate t and we get t=I/(P*r)

Answer:

(H1, T1)

Step-by-step explanation:

Since we know that the only number option is 1, we can cancel out the first 3 options. and obviously, there are only heads, and tails. So, using only the # 1 and heads and tails, we can conclude that the answer is (H1, T1).

Answer:

D. (H1, T1)

Step-by-step explanation:

Since all outcomes require card #1 is chosen, so any answer with 2 or 3 can be rejected, therefore the answer is

D. (H1, T1)

Answer:

# of plants    # of gardens

  10-14                   2

  15-19                   2

  20-24                 5

  25-29                 3

  30-34                  3

  35-39                  5

  40-44                  4

Step-by-step explanation:

10-14: 10, 12 (2 numbers)

15-19: 18, 19 (2 numbers)

20-24: 20, 22, 23, 24, 24 (5 numbers)

25-29: 25, 27, 38 (3 numbers)

30-34: 31, 33, 33 (3 numbers)

35-39: 36, 36, 36, 37, 38 (5 numbers)

40-44: 40, 44, 44, 44 (4 numbers)

Answer:

10-14 ⇒ 2

15-19 ⇒ 2

20-24 ⇒ 5

25-29 ⇒ 3

30-34 ⇒ 3

35-39 ⇒ 5

40-44 ⇒ 4

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

Answer:

1.5 percent

Step-by-step explanation:

Step 1

Write an expression that can help find the original salary

Step 2

Simplify the equation

Hence, Tricia's Original weekly salary in dollars per week=$700

Therefore , the solution of the given problem of function comes out to be Since 4 > 2, function A has a greater rate of change than function B.

The mathematics curriculum covers the study of numbers or rather their variations as well as in our environment, buildings, and both actual and imagined locations. A function presents a graph representation of the relationship between input and output quantities. A function, expression simply, is a collection of sources that, when combined, result in particular outputs by each input. There is a locale, territory, or range assigned to each job.

Here,

The rate of change of a linear function is the slope of the line.

Function A is y = 4x - 3, so the rate of change (slope) is 4.

To find the rate of change of function B, we can calculate the slope of the line passing through the points given in the table. Using the two points (1,4) and (5,12), we get:

slope = (change in y) / (change in x) = (12-4) / (5-1) = 2

So the rate of change of function B is 2.

Since 4 > 2, function A has a greater rate of change than function B.

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Answer:

16 - (4 x 3) + 7

Step-by-step explanation:

16 - (4 x 3) + 7

16 - 12 + 7

4 + 7

11

Answer:

a)100

b) (0, -11 + √(84 - (z - 6)^2), z) and (0, -11 - √(84 - (z - 6)^2), z)

c)(2 + √(64 - (y + 11)^2), y, 0) and (2 - √(64 - (y + 11)^2), y, 0)

Step-by-step explanation:

a)

An equation of a sphere with center (a, b, c) and radius r has the form:

(x- a)^2 + (y - b)^2 + (z - c)^2 = r^2

We are given the center of the sphere as (2, -11, 6) and the radius as 10. Substituting these values into the equation, we get:

(x - 2)^2 + (y + 11)^2 + (z - 6)^2 = 100

So the equation of the sphere is (x - 2)^2 + (y + 11)^2 + (z - 6)^2 = 100.

b) To find the intersection of the sphere with the yz-plane (x = 0), we substitute x = 0 into the equation of the sphere:

(0 - 2)^2 + (y + 11)^2 + (z - 6)^2 = 100

(y + 11)^2 + (z - 6)^2 = 84

This is the equation of a circle with center (0, -11, 6) and radius √84. To find the point(s) of intersection with the yz-plane, we set x = 0 in the equation of the sphere and solve for y and z:

(y + 11)^2 + (z - 6)^2 = 84

y = -11 ± √(84 - (z - 6)^2)

So the two points of intersection with the yz-plane are

(0, -11 + √(84 - (z - 6)^2), z) and (0, -11 - √(84 - (z - 6)^2), z).

c)

To find the intersection of the sphere with the xy-plane (z = 0), we substitute z = 0 into the equation of the sphere:

(x - 2)^2 + (y + 11)^2 + (0 - 6)^2 = 100

(x - 2)^2 + (y + 11)^2 = 64

This is the equation of a circle with center (2, -11) and radius 8. To find the point(s) of intersection with the xy-plane, we set z = 0 in the equation of the sphere and solve for x and y:

(x - 2)^2 + (y + 11)^2 = 64

x = 2 ± √(64 - (y + 11)^2)So the two points of intersection with the xy-plane are (2 + √(64 - (y + 11)^2), y, 0) and (2 - √(64 - (y + 11)^2), y, 0).

Answer:

-3

Step-by-step explanation:

I Think :D

Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding  it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.

Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..

If the spin lands on the space where the contestant wins nothing, then x = 0.

If the spin lands on a space where the contestant wins $1, then x = -1 + 1 = 0. If the spin lands on a space where the contestant wins $4, then x = -2 + 4 = 2.

The expected value of x can be calculated as follows:

E(x) = (333/555) × 0 + (111/555) × (-2 + 1) + (111/555) × (-2 + 4) = (111/555) * 2 = 0.4.

So, on average, the player's net gain per spin is 40 cents.

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Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

solve  -6x2-3x+12 dived by 3x-3 using pemdas

Step-by-step explanation:

The question is how to divide this this is how to solve it