A sphere has a radius of 11 Inches. A horizontal plane passes through the center of the sphere.
Part 1 out of 2
Describe the cross section formed by the plane and the sphere.
It is a (square, circle, or oval) with a radius of in.

Answer:

Step-by-step explanation:

1). (40, 60)

m = 2

y - 60 = 2( x - 40 )

2). (5, - 1)

m = - 3

y - ( - 1) = - 3( x - 5 )

3). m = 2

y - 1 = 2( x + 2 )

y = 2x + 5

Answer: 1/9 of a mile

Step-by-step explanation:

3/27=x/1

27x=3

Divide by 27

3/27=1/9

Answer:

9

Step-by-step explanation: 9 +9 +9=27

Answer:

1.6627 (money wise, $1.66)

Step-by-step explanation:

Since its 130%, you know there was already a whole increase. So first you would do 1.279 + 1.279, which would give you 2.558. Then you need to calculate 30% of 1.279 for the rest of the increase. That gives you 0.3837 Add 2.558 and 0.3837 together, which would give you 2.9417. To get the INCREASE, you would have to subtract the new total from the original price, so 2.9417 - 1.279. This would give you 1.6627.

Answer:

420 over 225, 28/15

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

3x+4y=12

-3x -3x

4y=-3x+12

÷4 ÷4

y=-3/4x+12

Answer:

-3/4 or -0.75

Example:

Answer:

8/9 + 1/6 = 1 1/18

Step-by-step explanation:

1. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

8/9*2/2 + 1/6*3/3 = ?

2. Complete the multiplication and the equation becomes 16/18 + 3/18.

3. 16/18+3/18 = 19/18 = 1 1/18

Answer:

(x+1)^2+(y+4)^2=16

Step-by-step explanation:

equation of the circle

(x-x0)^2+(y-y0)^2=r^2

where x0 and y0 is center of circle

and r is radius of the circle.

we know that the center point is the middle of the diameter

so x0=(x1+x2)/2

x0=(3+(-5))/2=-2/2=-1

y0=(-4+(-4))/2=-8/2=-4

so the midpoint or the center of circle is the points (-1,-4)

the formula to find the distance between two. points is √[(x2-x1)^2+(y2-y1)^2]

so r is the distance between the center point and one of the diameter endpoints.

let us take points (3,-4) and center point (-1,-4)

√(-1-3)^2+(-4-(-4))^2=

√(-4)^2+0^2=

√16=4

so the radius of the circle is 4

now the equation of the circle will be

(x-(-1))^2+(y-(-4))^2=4^2

(x+1)^2+(y+4)^2=16

Answer:

The first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.

Step-by-step explanation:

The first and third quartile of a normal distribution are:

[tex]Q_{1}=\mu-0.675\sigma\\\\Q_{3}=\mu+0.675\sigma[/tex]

The information provided is as follows:

[tex]\mu=125\\\sigma=12[/tex]

Compute the first and third quartile of the wingspans as follows:

[tex]Q_{1}=\mu-0.675\sigma=125-(0.675\times 12)=116.9\\\\Q_{3}=\mu+0.675\sigma=125+(0.675\times 12)=133.1[/tex]

Thus, the first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.

Answer:

56

Step-by-step explanation: so 5+6=11, 65 is th

reverse of 56, 56+9=65

2 is less than or equal to x is less than or equal to 4

Answer:

The proportional relationship is + 1.50 with each toppings. The cost for 6 toppings is $17.99.

Step-by-step explanation:

11.99 to 13.49 is + 1.50, 13.49 to 14.99 is + 1.50, and so on.

Part (A)

The input variable is the shoe size because it is along the horizontal axis, or x axis. It's not clear what the units for the shoe size are, but it's possible the units are in inches.

The output variable is the y value, which in this case is the height. The units for the height is in inches.

====================================================

Part (B)

We have a positive trend. We determine this visually by noting the regression line, or trend line, is going upward as we move from left to right.

Algebraically, the equation for the trend line has a positive slope, which leads to a positive trend.

A positive trend is where x and y increase together. As shoe size goes up, height goes up as well.

While not all the points are on the line, there is a tendency for the points to go uphill as we move from left to right.

As for the strength of the correlation, that part is subjective. If we knew the correlation coefficient r, then we could be more certain; however, we don't know this value. So instead we have to eyeball the given graph and give an estimate. Based on the graph, I'd say there's a moderate positive correlation going on. It's somewhere in the middle of weak and strong positive correlation because the data points are somewhat scattered randomly, but they trend upward nonetheless.

====================================================

Part (C)

The rate of change is the slope. The slope is the coefficient of the independent variable x. In this problem, the slope is 1.728

So the rate of change is 1.728 inches per shoe size.

In other words, as the shoe size increases by 1 unit (1 inch perhaps?), the height will increase by roughly 1.728 inches.

---------------------------------------------------------

Extra info:

The equation

Height = 51.46 + 1.728(Shoe Size)

is the same as

y = 51.46 + 1.728x

where x is the shoe size and y is the height

We can rearrange that into

y = 1.728x + 51.46

So that it matches with the familiar y = mx+b slope intercept form. This is optional.

Answer:

More info

Step-by-step explanation:

I need more info than that please!`

1 feet = 12 inches  

3 feets= 36 inches

8 feets = 96 inches

hope this helps  

Assume the year that it would take to these trees have the same height is : x (years)

After x years, type A tree has heigth: 36 +23x (inches)

After x years, type B tree has heigth: 96 +17x (inches)

We have  36+23x = 96+17x

Solve the equation, we have x=10

Conclusion: It will take 10 years to these trees have the same height.

Answer:

x=2

Step-by-step explanation:

3x-8=6-12x+16

3x+12x=22+8

15x=30

x=2

Answer:

x=2

Step-by-step explanation:

It's right bc I took the test and got it 100%

Answer:

Dos cadenas de operaciones matemáticas distintas, cuyo resultado sea 325 utilizando las 4 operaciones básicas (suma, resta, multiplicación y división) pueden ser las siguientes:

((2 + 8) / 2) x 65 = 325

10 / 2 x 65 = 325

5 x 65 = 325

325 = 325

((300 / 10) x 15) - 130 + 5 = 325

(30 x 15) - 130 + 5 = 325

450 - 130 + 5 = 325

325 = 325

The 2 different chains of operations resulting in 325 using the 4 basic operations are;

[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]

and;

[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]

According to the question, we are to find 2 different chains of operations resulting in 325 using the 4 basic operations.

The four basic operations are addition(+), subtraction(-), division(÷) and multiplication (×).

One of the chains of operation will be:

[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]

Another chain of reaction will be:

[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]

Learn more here: https://brainly.com/question/22224175

Answer:

F

Step-by-step explanation:

6×3x=18x

6×2=12

18x+12-4

Answer:

see below

Step-by-step explanation:

   18x + 12 - 4  simplify

Answer:

The equation of the line (in slope-intercept form) is y=4x-9

Answer:

there is nothing here so??

Answer:

where??? uhhhhhhhh lol

Answer:

126

Step-by-step explanation:

if it have 9 trips and each trip there is 14 people so we do 14×9=126

Answer:

10

Step-by-step explanation:

radius is the middle point of a circle, therefore divide it in half.

Answer: the correct answer was- A binomial cumulative distribution function should be used because the question asks for determining the probability that at least five students have blonde hair.

i got this question right

Step-by-step explanation:

The approximate solution to the trigonometric inequality will be 0<=x<0.7896. Option A is correct.

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

Given inequality;

tan(x/4)<1/5

x/4 = tan⁻¹(1/5)

0<=x<0.7896

The approximate solution to the trigonometric inequality will be 0<=x<0.7896.

Hence option A is correct.

To learn more about inequity, refer to https://brainly.com/question/20383699

#SPJ2

Answer:

A. 0 <= x < 0.7896

Step-by-step explanation:

EDG

Answer:

The solution is:

Step-by-step explanation:

Given the expression

[tex]0.5^{10}\div 0.5^7[/tex]

Solving

[tex]\frac{0.5^{10}}{0.5^7}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

so

[tex]\frac{0.5^{10}}{0.5^7}=0.5^{10-7}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:10-7=3[/tex]

[tex]=0.5^3[/tex]

[tex]=0.125[/tex]        ∵ [tex]0.5^3=0.125[/tex]

Therefore, the solution is:

[tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]

Answer:

1.9 litres is equvalent to 1900 mililitres