A tennis ball is 4 centimeters in diameter. What is the surface area of this ball?

Answer:

See below

Step-by-step explanation:

If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B. -\frac{2}{3}  

Hope this helps

The lines are perpendicular and the slope of the red line is m₂ = -2/3

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m₁ = 3/2

So , the slope of the green line is m₁ = 3/2

Since the lines are perpendicular to each other , the product of their slopes will be equal to -1

And , m₁ x m₂ = -1

So , ( 3/2 ) x m₂ = -1

Multiply by ( 2/3 ) on both sides , we get

m₂ = ( -2/3 )

Therefore , the slope of the red line is ( -2/3 )

Hence , the slope of the red line m₂ = ( -2/3 )

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The complete question is attached below :

The lines below are perpendicular. If the slope of the green line is 3/2 what is the slope of the red line?

Answer:

100 percent

Step-by-step explanation:

if x of y is y....

x is always 100!

Answer:

Yes, it is enough to climb.

Step-by-step explanation:

Let suppose that wall is vertical and perpendicular to surface, a right-angled triangle is formed after using the ladder against the wall. (See attachment)

Ladder is useful only if its length is greater than wall length and trigonometrically speaking, the ratio of wall length to ladder length must be less than 1, associated with the definition of sine. That is:

[tex]\sin \theta = \frac{50\,ft}{51\,ft}[/tex]

[tex]\sin \theta = 0.980[/tex]

In a nutshell, the 51-foot ladder is useful to clime a 50-foot wall.

Answer:

a2 =14

a4 = 22

a11 = 50

Step-by-step explanation:

an = 10 + (n-1) *4

n is the term number

Let n =2

a2 = 10 +(2-1)*4 =10 +(1)*4 = 14

Let n =4

a4= 10 + (4-1)*4 = 10 *3*4 = 10+12 = 22

Let n = 11

a11 = 10 +(11-1)*4 = 10 *10*4 = 10+40 = 50

Answer:

50.68

Step-by-step explanation:

The higher priced shoes are full price and the lower priced shoes will be 1/2 price

74.99 + 1/2 (68.55)

74.99 + 34.28

109.27

He had 159.95 in credit

159.95-109.27

50.68 in  return

Answer:

80,000 people would answer in a town of 200,000 people

Answer:

80,000 people.

Step-by-step explanation:

Let's use a ratio:

voters : people overall

   4      :          10

  80    :        200

80,000:   200,000

80,000 out of 200,000 people voted.

I tried to do it and this is what i got

mean - 4.19

median - 3 or 4

Modes L to G - 0,1,1,2,2,3,3,3,3,3,4,4,5,5,5,6,7,7,7,8,9 and the most occuring number is 3

Range - 9

I tried i hope this can help, i'm sorry if not.

As always i would appreciate a brainliest

Answer:penny

Step-by-step explanation:

Answer:

I would choose option two. Option one will make me a total of $30,000. Option two will make a total of $5,368,709.12.

Answer:

6

Step-by-step explanation:

to find the mean, you must add all the numbers together and divide by the amount of numbers. for example, 2+4+6+8+10=30. next, you divide 30 by the amount of numbers, which is 5. if you count there are five numbers. so 30÷5=6 :)

Answer:

Answer is D.

6 x 3 =1 8

9 x 3 = 27

11 x 3 = 33

14 x 3 = 42

18 x 3 = 54

c = 3 x w

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A biased sample is a sample that does not accurately represent the population.

The survey asked only girls, but we can assume this school has both boys and girls. Therefore, by only asking girls, it creates a bias, because the boys in the school are not represented.

Therefore, the correct choice is B: biased sample.

Answer: b. The sample should be chosen at random so that it is fair.

Step-by-step explanation:

Looking at the options:

a. The sample should be chosen based on specific criteria, such as the youngest students in the  class.

This is false. Choosing a sample size based on specific criteria may skew the data unfairly. For example, in a survey on students' studying habits, choosing only the students with lowest grades would be an inaccurate representation of the data.

b. The sample should be chosen at random so that it is fair.

This is true. Randomizing a sample eliminates any bias, whether intended or unintended.

c. The sample should consist of every person in the population being studied.

Although it is ideal to survey every person in order to get the most accurate data, doing so is often impossible given the scope of a data set. Doing a survey on high schooler's study habits cannot possibly get data from every person in the population, as there are high school students across the world.

d. The sample size should always be exactly one person or piece of data.

One person's data is not a survey, it is just an opinionated study. Sample size should always be large enough to eliminate any accidental bias.

The correct choice is B.

Answer:

(0, -2)

Step-by-step explanation:

y= 2x - 2

To find the y-intercept, or where the graph hits the y-axis, you plug 0 in for x

y= 2(0) - 2

y= -2

because 2 times 0 is 0, then 0 - 2 is -2

If they ask for just the value, it is -2

If they ask for the coordinate, it is (0, -2)

Answer:

the answer is -2

Step-by-step explanation:

Answer:  What is the "..." for?

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]4x^2-12x+9=0\\4*9=36\\6+6=12\\6*6=36\\4x^2-(6+6)x+9=0\\4x^2-6x-6x+9=0\\2x(2x-3)-3(2x-3)=0\\(2x-3)(2x-3)=0\\(2x-3)^2=0[/tex]

Answer:

[tex](x-\frac{3}{2}) ^{2}[/tex]

Step-by-step explanation:

When we complete the square, we take the b value from the equation:

a[tex]x^{2}[/tex] + bx + c = 0, and plug it into [tex](\frac{b}{2})^{2}[/tex] ..

First step is to make the coefficent of x go away. By dividing by 4.

x^2 - 3x + 9/4 = 0

now plug into the equation

(-3/2)^2 = 9/4 <-- because the square is parantheses, the negative goes away. Notice how there is a 9/4 already in our equation, meaning we dont have to do anything and simply can find the answer!

(x - 3/2)^2 = 0

Answer:

number less than 3=1 and 2

so 2/6 = 1/3 in lowest terms

then rolling a 6 =

there is only one 6 so it will be 1/6

I hope I helped

Answer:

Length = ( x - 1 ) ( m)

Step-by-step explanation:

Area of rectangle is:

A(r) = l*w ( in m² )    where l is the length in m   and w is the width in m

If we have:  A(r)  =  x² - 6*x  - 7 (m²), as an area of a rectangle, then we can factoring the equation, and get the rectangle dimensions, then:

x²  - 6*x  -  7  =  ( x  - 1 ) * ( x - 7 ) = area of the rectangle in m²

As problem statement establishes that ( x - 7 ) ( m)  is the width, then

( x - 1 ) ( m) is the length

Answer:

Step-by-step explanation:

Given that  : The average marks of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are; 148, 102 and 152.

The objective here is to determine the average of the extracted scores that are the extreme values (outliers)

NOW:

The average marks of candidates in an aptitude test was 128.5

i.e the Mean = 128.5

Standard Deviation = 8.2

outlier will be outsides;

then the range  will be    Mean  ± 3 × SD

= 128.5 ± 8.2 × 3

= 128.5 ± 24.6

Range is  ( 103.9  ,  153.1)

102 is outside this range

Hence, the average of the extracted scores that are extreme values (outliers) will be 102 only

Answer:

A

Step-by-step explanation:

To determine if (x - 2) is a factor of f(x)

Evaluate f(2) and if equal to zero then (x - 2) is a factor

f(2) = 2³ + 3(2)² - 2 - 18

     = 8 + 12 - 2 - 18

     = 0

(x - 2) is a factor of f(x) because f(2) = 0 → A

The answer to the question "Use the remainder theorem to determine whether x - 2 is a factor of [tex]f(x) = x^3+3x^2-x-18[/tex]" is option A: Yes, x - 2 is a factor of f(x) because f(2) = 0

The given function is:

[tex]f(x) = x^3+3x^2-x-18[/tex]

The function [tex]f(x) = x^3+3x^2-x-18[/tex] is divided by x - 2

x - 2 will be a factor of [tex]f(x) = x^3+3x^2-x-18[/tex] only if f(2) = 0

Substitute x = 2 into [tex]f(x) = x^3+3x^2-x-18[/tex]

[tex]f(2) = 2^3 + 3(2)^2 - 2 - 18\\\\f(2) = 8 + 3(4) - 2 - 18\\\\f(2) = 8 + 12 - 20\\\\f(2) = 20 - 20\\\\f(2) = 0[/tex]

Since f(2) = 0, then we  can conclude that x - 2 is a factor of  [tex]f(x) = x^3+3x^2-x-18[/tex]

Learn more here: https://brainly.com/question/22237647

Answer:

C.

Step-by-step explanation:

By analyzing the functions f(x) and g(x), we can see that they are both quadratic relations.

To find the minimum value, we want to find the y-coordinate of the vertex.

In f(x), by using the formula (-b/2a), we get the x-coordinate of the vertex, 70. When we substitute 70 into the function, we get 55 as our minimum.

In h(x), we can see that the lowest y-coordinate in the given points is 899.52. So (1, 899.50) is our vertex.

This means that in f(x), the minimum production cost is $70. In contrast, in h(x), the minimum production cost is $899.50. Therefore f(x) has a lower minimum, with its minimum value at (70, 55), our vertex.

Answer:

The Answer is C. f(x) at (70, 55)

Hope This Helps!

Answer:

21

Plz mark me brainliest

Step-by-step explanation:

Answer:21 students were on each bus.

Step-by-step explanation:

215-5=210

210/10=21 the number of students divided by the number of buses

Answer:

Reindeer runs in 3 hrs = 20×1/4 miles

Reindeer runs in 1 hr = 81/4 × 1/3 = 6 × 3/4 miles (option 2)

Answer:

It should be 72 degrees

Step-by-step explanation:

angle j and h are the same so you just add 63 to 45 and once you get 108, just subtract that from 180 degrees which is the full measure of the triangle.

Answer: 108π inches squared

Step-by-step explanation:

Formula : Area of sector = [tex]\dfrac{\theta}{360^{\circ}}\times\pi r^2[/tex]

where , r= radius and [tex]\theta =[/tex]

Given : A certain car's windshield wiper has a total length of 22 inches. As the wiper pivots it clears a sector with a central angle of 120 degrees.

If only 18 inches of the wiper cleans the windshield, then we take radius of the range of wiper cleaining = 18 inches

The area of the windshield that is wiped during each swing = Area of the sector made by wiper of  with a central angle of 120 degrees.

[tex]=\dfrac{120}{360}\times\pi (18)^2\\\\=\dfrac{18^2}{3}\pi=\dfrac{18\times6}{1}\pi=108\p\text{ inches}^2[/tex]

Hence, the area (in exact form) of the windshield that is wiped during each swing is 108π inches squared.

Answer:-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

We can estimate a population of 500 birds.

Step-by-step explanation:

We can estimate the total bird population using a rule of three with the information given:

If we find 5 birds with the foot band among 100 birds captured, how many birds there are in total if inicially we put foot bands in 25 birds?

5 birds with foot band -> 100 birds captured

25 birds with foot band -> X total birds

X * 5 = 25 * 100

X = 25 * 100 / 5 = 500 birds

We can estimate a population of 500 birds.

Answer:

Label: About 527.9 square centimeters

Aluminum: About 835.7 square centimeters

Step-by-step explanation:

Amount of paper needed for the label:

You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be [tex]2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9[/tex].

Amount of aluminum needed for the can:

This time, you need to add in the top and bottom of the can as well, which each have area [tex]\pi r^2[/tex]. Together, they have area [tex]2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9[/tex]. Adding this to the area of the sides, you get a total of about 835.7 square centimeters.

Hope this helps!

Answer:

About 113.1

Step-by-step explanation:

Area of a circle= πr2

Radius= 6

6x6=36

36π= About 113.1

Answer:

work is shown and pictured