A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.

​What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?

Answer:

x = 16

Step-by-step explanation:

Given:

Therefore, total marks = 15 × 6 = 90

To find the value of x, add up the individual marks:

12 + 16 + 14 + 13 + 19 + x = 74 + x

Now equate this to the total number of marks found previously:

74 + x = 90

Solve for x:

⇒ 74 + x - 74 = 90 - 74

⇒ x = 16

Therefore, the value of x is 16.

Answer:

[tex]\displaystyle \large{y=x^2-2x-3}[/tex]

Step-by-step explanation:

The given points are (-1,0) and (3,0) to find an equation of parabola. Notice that they say or the given points are x-intercepts, which means they make it easier for us to find an equation of parabola using these x-intercepts.

Quick Note:

So what we are going to do is to write the roots’ equation back as [tex]\displaystyle \large{x+\alpha =0}[/tex]

Our points or roots are given, therefore:

If x = -1 then x+1=0

If x = 3 then x-3=0

Then multiply x+1 with x-3 because if (x-1)(x+3)=0 then x-1=0 or x+3=0:

[tex]\displaystyle \large{(x+1)(x-3)=0}[/tex]

Convert 0 to y since we want to find a function:

[tex]\displaystyle \large{(x+1)(x-3)=y}\\\displaystyle \large{y=(x+1)(x-3)}[/tex]

Expand the expressions in and simplify to standard form:

[tex]\displaystyle \large{y=x^2-3x+x-3}\\\displaystyle \large{y=x^2-2x-3}[/tex]

Therefore, the equation is [tex]\displaystyle \large{y=x^2-2x-3}[/tex]

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Summary

If we are given the points [tex]\displaystyle \large{(\alpha ,0)}[/tex] and [tex]\displaystyle \large{(\beta ,0)}[/tex] with wideness of the graph or a-value = 1 then the parabola equation is:

[tex]\displaystyle \large{y=(x-\alpha )(x-\beta )}\\\displaystyle \large{y=x^2-\beta x-\alpha x+\alpha \beta }\\\displaystyle \large{y=x^2-(\beta +\alpha )x+\alpha \beta }[/tex]

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Others

If you have any doubts about my answer, explanation or this question, do not hesitate to let me know in the comment!

Answer:

Step-by-step explanation:

Answer:

24π inches

Step-by-step explanation:

The area of a circle is denoted by: , where r is the radius. Here, we know that the area is A = , so we can plug this in to find r:

A = [tex]\pi r^{2}[/tex]

[tex]144\pi = \pi r^{2}[/tex]

[tex]r^{2}[/tex] = 144

r = 12

The circumference is denoted by: , where r is the radius. We've found the radius so just plug 12 in for r:

Thus, the circumference is 24π inches.

Hope this helps!

Correct Question :

The area of a circle is 144π in². What is the circumference, in inches? Express your answer in terms of pi.

[tex] \: [/tex]

Step-by-step explanation:

Before finding the circumference of the circle, we have to find the radius of it.

We already know that,

[tex] \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \pi r{}^{2} = \: \: Area_{(circle)}}}}}} \: \: \bigstar \\ \\ [/tex]

So, using this formula we'll find the radius and now we'll substitute the given values :

[tex] \longrightarrow \qquad{ \sf{ \pi \times r{}^{2} = \: 144 \pi }} \\ \\[/tex]

Cancelling π from both sides we get :

[tex]\longrightarrow \qquad{ \sf{ \cancel\pi \times r{}^{2} = \: 144 \cancel\pi }} \\ \\[/tex]

[tex]\longrightarrow \qquad{ \sf{ r{}^{2} = \: 144 }} \\ \\ [/tex]

[tex]\longrightarrow \qquad{ \sf{ r{}^{} = \: \sqrt{144} }} \\ \\ [/tex]

[tex]\longrightarrow \qquad{ \sf{ \pmb{ r{}^{} = \: 12 }}} \\ \\ [/tex]

So,

[tex] \\ [/tex]

Now we'll find the circumference of the circle :

[tex] \\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\ [/tex]

Now, we'll substitute the required values in the formula :

[tex] \\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times \pi \times 12}}} \: \: \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 12 \pi }}} \: \: \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \pmb{ \: \: Circumference_{(circle)} = 24 \pi }}}} \: \: \\ \\ [/tex]

Therefore,

teddy bears = 80

hope it helps..!!!

Answer: x = 4ooo sin 340 x = 223627 ft.

Step-by-step explanation: The angle between the waterline and the submarine is 34°. How deep is the submarine?

Answer:

300-400

Step-by-step explanation:

The first step is finding the total of the data we have. So, we take 5 + 10 + 15 + 20 + 25 + 15 + 10 which equals 80.

The median is the middle point of all the data. If it's an odd number, you can calculate the median with the equation (n+1) / 2, plugging in the total amount of data for n.

When it's an even number though, there is no one middle point since the data splits evenly in 2, so we have to use 2 equations: n/2 & (n/2) + 1. Then, we find the average of those two data points. (Although, you don't have to do that for this particular question).

When we plug 80 in for n in both of these equations, we get 40 and 41.

To where this is in the question, we have to count up from the bottom of the chart. 1-5 is below 100, 6-15 is 100-200, 16-30 is 200-300, and 31-50 is 300-400.

Since 40 and 41 are between 31 and 50, the answer is 300-400.

Hope this helps! :)

C = pi x d

3,14 x d = 47,1

d = 15

The histogram is an illustration of a discrete probability, and the probability that this tomato plant has a height greater than 82.5 cm is 0.40

The histogram is given such that the distribution of the plant heights is:

75 < h ≤ 85

To estimate the probability that this tomato plant has a height greater than 82.5 cm, we make use of the following formula

P(h >82.5) = P(85)

From the histogram, we have:

P(85) = 24/60

Evaluate

P(85) = 0.40

Substitute P(85) = 0.4 in P(h >82.5) = P(85)

P(h >82.5) = 0.40

Hence, the estimated probability is 0.40

Read more about probability at:

https://brainly.com/question/251701

Answer:

C≈25.13ft

Step-by-step explanation:

C=2πr=2·π·4≈25.13274ft

Answer: 40 degrees

Step-by-step explanation:

Answer:

The last answer [tex]\sqrt{65}[/tex]

Step-by-step explanation:

[tex]7^2+4^2 = 65[/tex]

The formula to find it is [tex]a^2+b^2=c^2[/tex]

so [tex]\sqrt{65}[/tex] is correct

Answer:

⠀

Step-by-step explanation:

⠀

We'll solve this using the Pythagorean Theorem.

⠀

⠀

We know that,

[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} = (AC) {}^{2} + ( BC) {}^{2}}}[/tex]

⠀

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = (7) {}^{2} + ( 4) {}^{2}}}[/tex]

⠀

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 49 + 16}}[/tex]

⠀

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 65}}[/tex]

⠀

[tex]{ \longrightarrow \sf {\pmb {\qquad \: AB}}} = \pmb{ \frak{\sqrt{65}}}[/tex]

⠀

Therefore,

Let's see point E in its original position: (3.-4)

Now lets transform the point (x,y) -->  (x + 8, y +5)

               (3, -4) --> (3 + 8, -4 + 5) --> (11, 1)

Therefore coordinate E's new position is (11, 1)

Hope that helps!

Answer:

c no

jskdha

shdjszdj

see

Answer:

a. 0

Step-by-step explanation:

Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?

Our inequality:

8g < 4

Substitute each values from the set {0, 12, 2.5, 4} for g, to find which value makes the inequality true.

For 0:

8g < 4

8(0) < 4

0 < 4

This statemen is true, because 0 is less than 4

For 12:

8g < 4

8(12) < 4

96 < 4

This statemen is false, because 96 is NOT less than 4

For 2.5:

8g < 4

8(2.5) < 4

20 < 4

This statemen is false, because 20 is NOT less than 4

For 4:

8g < 4

8(4) < 4

32 < 4

This statemen is false, because 32 is NOT less than 4

Hope this helps!

Answer:

x = 3

Step-by-step explanation:

A only 1 solution

B

4(2x - 5) = 4 ( divide both sides by 4 )

2x - 5 = 1 ( add 5 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Answer:

Step-by-step explanation:

Isolate it by the term of x from one side of the equation.

First, divide by 4 from both sides.

[tex]\sf{\dfrac{4\left(2x-5\right)}{4}=\dfrac{4}{4}}[/tex]

Then, solve.

4/4=1

Rewrite the problem down.

2x-5=1

Add by 5 from both sides.

[tex]\sf{2x-5+5=1+5}[/tex]

Solve.

1+5=6

2x=6

Divide by 2 from both sides.

2x/2=6/2

Solve.

Divide the numbers from left to right.

6/2=3

x=3

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

why you delete my answer before question

Answer:

Step-by-step explanation:

57 of them were cinnamon.

Explanation:

100-40 = 60 and 3 of those were glazed so that leaves us with 57

Answer:

answer is a

Step-by-step explanation:

ur welcome

Answer:

its 323 so you were right :) if 323 is your answer lol

Step-by-step explanation:

abs(T-50)=323 Where T is in degrees Kelvin.

abs () means absolute value.

So T=323 plus or minus 50

Both lines would be the same length.

4x-6 = 50

Add 6 to both sides:

4x = 56

Divide both sides by 4:

x = 14

Answer:

Lower Quartile is 8 according to the diagram.

Answer:

11 + x

Step-by-step explanation:

x + 11 can be reversed as 11 + x and it would still mean the same thing.

11x means 11 * x so does not match

11 + x and x + 11 same this is correct answer tho

last two are also same  11 - x  and -x +11

Answer:

the answer is y = 2x + 7

Step-by-step explanation:

for it to be parallel has to have the slope

Answer:

9

It is 9 because 9 is the only number that multiplied by itself is 81.

Answer:

Frida

Step-by-step explanation:

y = 1000(2)^x

Mrs. Smith is saying that the number of termites will double each week, and Mr. Smith is saying that the number of termites will increase by 100% each week.

Let's just look at (2)^x. If we substitute numbers for x, we get:

We can see that the output number doubles by 2, or in other words, increases by 100% of its value.

Therefore, Frida is correct in thinking that both Mr. and Mrs. Smith's interpretations are correct.