Some students are painting a mural of the Earth. They draw a circle with a radius of 8 feet to represent the Earth. Question What is the approximate circumference of the circle? (Use pi equals 3.14) Answer options with 4 options A. 12.56 feet B. 25.12 feet C. 50.24 feet D. 200.96 feet

Answer:

There is a 1/3 chance it lands on each section

Step-by-step explanation:

I'll do problem 1 to get you started

First sort the values from smallest to largest and you should end up with this set

{1, 6, 7, 11, 13, 16, 18, 21, 22, 23}

The smallest value is 1 and the largest value is 23, so the min and max are 1 and 23 in that order.

We have ten values in this set. The middle-most number is going to be between the 10/2 = 5th slot and the 6th slot. The numbers 13 and 16 are in the fifth and sixth slots respectively. Average those values to get (13+16)/2 = 29/2 = 14.5

The median is 14.5 which is another name for the second quartile (Q2).

Now split the data set into two halves

L = lower half of values smaller than the median

U = upper half of values larger than the median

In this case,

L = {1, 6, 7, 11, 13}

U = {16, 18, 21, 22, 23}

sets L and U have five items each

Find the median of set L and U to get 7 and 21 respectively. These medians of L and U represent the values of Q1 and Q3 in that order.

Q1 = first quartile = 7

Q3 = third quartile = 21

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Answer:

The five number summary for problem 1 is

Answer: 5 is your answer hope this helped

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Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

7x + 4 = 10x

4 = 3x

x = 4/3

Answer:

x=28

Step-by-step explanation:

4(x-5)=92

4x-20=92

add 20 to both sides

4x=112

divide 4 on both sides

x=28

Answer:

The value of x is 28

Step-by-step explanation:

4(x - 5) = 92

4x - 20 = 92

4x = 92 + 20

4x = 112

x = 112 ÷ 4

x = 28

Thus, The value of x is 28

-TheUnknownScientist

Answer:

The most efficient method is completing the square because the equation can be written in the form [tex]x^2 - d[/tex]

x ~ 2.24

x ~ -2.24

Step-by-step explanation:

Solve the equation using any method that is efficient. The most efficient method is completing the square, because the equation can be written in the form [tex]x^2 - d[/tex]. Use this method to solve the problem, since the equation is already in the format, [tex]x^2 - d[/tex], all one has to use is inverse operations to solve the equation.

[tex]-5x^2 = -25\\/-5\\\\x^2 = 5\\\sqrt{}\\\\x = +- \sqrt{5}[/tex]

x ~ 2.24

x ~ -2.24

Answer:

Hello! answer: 62.8

Step-by-step explanation:

Cirmcumfrence is just diameter × pi so since we are using 3.14 for pi we can just do 3.14 × 20 so...

3.14 × 20 = 62.8 Therefore the circumference is 62.8 Hope that helps!

Answer:

thank you <3 I needed this.

Step-by-step explanation:

who's cutting onions??!?!?

Answer:

37.82 year(s)

Step-by-step explanation:

double check tho, i might be using different method or my ans could be wrong since you gave literally no info on your specific task

Answer:

12

Step-by-step explanation:

The answer to the above statement is: $k$ has a perfect square trinomial value of 16.

To determine the value of $k$ such that $9x^2 - 16x + k$ is a perfect square trinomial, we can follow these steps:

Identify the form of a perfect square trinomial. A perfect square trinomial can be written in the form $(ax + b)^2$, where $a$ and $b$ are constants.

Examine the $9x2 - 16x + k$ trinomial in comparison to the perfect square trinomial form.  We need to match the quadratic term and the linear term.

The quadratic term in the perfect square trinomial is $(ax)^2 = a^2x^2$, which corresponds to $9x^2$ in our trinomial.

The linear term in the perfect square trinomial is $2abx$, which corresponds to $-16x$ in our trinomial.

By comparing the terms, we can set up the following equation: $2abx = -16x$. This implies that $2ab = -16$.

Solve for $a$ and $b$ using the equation $2ab = -16$.

Let's consider possible factor pairs of $-16$: $(1, -16)$, $(2, -8)$, and $(4, -4)$.

We need to find a pair $(a, b)$ such that $2ab = -16$. Checking the options, we find that $(a, b) = (2, -4)$ satisfies the condition since $2(2)(-4) = -16$.

To determine the value of $k$, substitute the values of $a$ and $b$ into the perfect square trinomial form.

The perfect square trinomial form is $(ax + b)^2 = (2x - 4)^2 = 4x^2 - 16x + 16$.

We can see that $k = 16$ by comparing the derived form to the supplied trinomial $9x2 - 16x + k$.

As a result, $k$ has a Perfect Square Trinomial value of 16.

For such more questions on Perfect Square Trinomial

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Answer:

I think it is 23 I am not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

so we know that a triangle degrees have to add up to 180 in the inside right? So we know c is 90 and so you need to find A and B. The left over degrees you have is 90 so the sum of B and A would have to be 90, thats all i can help you with sorry.

Answer:

c≈5.2

Step-by-step explanation:

c=a2+b2=1.412+52≈5.19501

Answer:

6 passengers got off at New Jersey

Step-by-step explanation:

let the number of passengers who got off be x and let the number of passengers who boarded the bus be y

y=2x

44 - x + y=50

y=50-44+x

y=6+x

subst y=2x

2x=6+x

2x-x=6

x=6

Answer:

60 ft³

Step-by-step explanation:

2 x 3 x 4 = 24

3 x 3 x (6-2) = 36

24 + 36 = 60

hope this helps :)

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

En matemáticas, un conjunto de proposiciones que deben estar respaldadas por una prueba adecuada basada en el razonamiento se denomina teorema. Se puede demostrar plenamente que todos los teoremas matemáticos son verdaderos mediante el razonamiento.

Sin embargo, un axión es evidente por sí mismo y no necesita ser probado. Es un hecho ya establecido.

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

Espero que esto ayude

Answer: Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5

Step-by-step explanation: Khan Academy

Joe made the mistake by guessing Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5.

The correct option is (b).

The fundamental characteristics listed below make it simple to recognise parallel lines.

Given:

WE have to  prove that the sum of a triangle's interior angle measures is 180°

According to the figure <1 and <4 are the alternate interior angle and <2 and <5 are  alternate interior angle.

So, Joe made the mistake by guessing Angles ∠4 and∠2  and ∠1 and ∠5 are alternate interior angles.

Learn more about parallel lines here:

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Answer:

-4>x  and 5≤=x

Step-by-step explanation:

Hope this helps!!!

Answer:

4.2

Step-by-step explanation:

By intersecting chords theorem:

[tex]x \times 10 = 6 \times 7 \\ \\ 10x = 42 \\ \\ x = \frac{42}{10} \\ \\ x = 4.2[/tex]

Answer:

1/2

Step-by-step explanation:

Because there are 2 numbrs that are greater than 3.

Hope this helped!

Stay Safe!

Answer:

1/14

Step-by-step explanation:

There is only 1 common multiple of 4 and 6 between 1 and 14.

So the probability is:

[tex]P = \frac{1}{14}[/tex]

Answer:

5/14

Step-by-step explanation:

the multiples of 6 are 6 and 12. the multiples of 4 are 4,8,12(but its the same as 4 so we don't add that one), and 14. Add 2 and 3 and you get 5.

The total is 14 so it ends up being a 5/14 chance.

Given:

Initial value = $800 per acre

Growth rate = 3% per year

To find:

How long will it be before the land is worth $1000 per acre.

Solution:

The exponential growth model is:

[tex]y=a(1+r)^t[/tex]

Where, y is the new value, a is the initial value, r is the growth rate in decimal and t is the number of years.

Putting [tex]y=1000, a=800, r=0.03[/tex], we get

[tex]1000=800(1+0.03)^t[/tex]

[tex]\dfrac{1000}{800}=(1.03)^t[/tex]

[tex]1.25=(1.03)^t[/tex]

Taking log both sides, we get

[tex]\log 1.25=\log (1.03)^t[/tex]

[tex]0.09691=t\log (1.03)[/tex]

[tex]0.09691=0.012837t[/tex]

Isolating the variable t, we get

[tex]\dfrac{0.09691}{0.012837}=t[/tex]

[tex]7.54927=t[/tex]

[tex]t\approx 7.55[/tex]

Therefore, the land is worth $1000 per acre after 7.55 years.

Answer:

D. The prism is missing a sixth face, which should be colored white.

The prism is missing a sixth face, which should be colored white.

We have given that,

A net with 5 faces. 3 rectangles are stacked. The top and bottom rectangles are shaded blue.

The middle rectangle is white. An orange rectangle is connected to the left of the top blue rectangle, and another is connected to the right of the bottom blue rectangle.

Juan is drawing the two-dimensional net of a rectangular solid, but he made a mistake.

We have to determine what error did Juan make, and how can he correct it.

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

Therefore we get,

The prism is missing a sixth face, which should be colored white.

The correct statement is The prism is missing a sixth face, which should be colored white.

To learn more about the rectangle visits:

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Answer:

71

Step-by-step explanation:

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Answer:

put it on the calculator

Answer:

its 136

Step-by-step explanation:

Answer:

[tex]x=17[/tex]

Step-by-step explanation:

[tex](x+7)^{2} =18(18+14)[/tex]

[tex](x+7)^{2} =18(32)[/tex]

[tex](x+7)^{2} =576[/tex]

[tex]x+7=\sqrt{576} =24[/tex]

[tex]x=24-7=17[/tex]

[tex]---------[/tex]

hope it helps...

have a great day!!