chapter 8
1.Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary.

Answers

Answer 1

The surface area of the sphere is approximately equal to 615.752 square miles.

How to determine the surface area of a solid

The surface area of a solid is the area comprised by all faces of a solid, in the case of a sphere, there is only one face whose extension is determined by the following formula:

A = 4π · r²

Where:

A - Area of the sphere, in square miles.r - Radius of the sphere, in miles.

If we know that r = 7 miles, then the surface area of the sphere is:

A = 4π · (7 mi)²

A ≈ 615.752 mi²

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Related Questions

Why might Randy put a pile of books under his feet when he's sitting and typing for a long period of time?

Question 4 options:

to keep his chair from rolling away

to make sure the books he needs are nearby

to make sure he's at least 20 inches from his monitor

to keep his feet from dangling

(Please help, I'll brainliest as soon as I can! =D)

Answers

Answer:

the answer is to make sure he is at least twenty inches from his monitor.

Step-by-step explanation:

An oceanside surf shop sells a bodyboard for $34.95. The wholesale cost of the bodyboard is $21.18. What is the percent of markup? Round to the nearest percent.

Answers

Answer: 14%

Step-by-step explanation:

The hypotenuse of right triangle is 130 miles long. The difference between the other two sides is 46 miles.

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The required value of the missing side is 66 miles and 20 miles.

What is Pythogoras theorem?

It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:

[tex]{\displaystyle a^{2}+b^{2}=c^{2}[/tex]

Now it is given that,

Length of Hypotenuse = 130 miles

Let length of one side = x

Since the difference between the other two sides is 46 miles

Thus, length of second side = x - 46

Applying the pythagoras theorem we get,

Hypotenuse² = one side² + second side²

Putting the values we get,

130 = x² + ( x - 46 )²

Expanding the brackets we get,

16,900 = x² + x² - 92x + 2116

Solving we get,

16,900 = 2x² - 92x + 2116

Or, we can write

2x² - 92x + 2116 - 16,900 = 0

Thus we get,

2x² - 92x - 14784 = 0

Dividing the whole equation by 2 we get,

x² - 46x - 7392 = 0

Solving the above quadratic equation,

x² + 112x - 66x - 7392 = 0

x( x + 112) - 66 (x + 112) = 0

Taking common we get,

(x - 66) (x + 112) = 0

Thus,

x = 66 , -112

Since the length cannot be negative, then

x = 66 miles

Length of second side is

66 - 46 = 20 miles

Thus, the required value of the missing side is 66 miles and 20 miles.

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The complete question is :

The hypotenuse of right triangle is 130 miles long. The difference between the other two sides is 46 miles. Find the missing sides.

Y₁ = 10x-4, y2 = 6x +17, and y₁ exceeds y₂ by 3.

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Answer:

y1+3=y2

10x-4=10x-4+3

(x-9)^2+(y+1)^2=15 but translated left 2, up 7

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Answer:

if i got locked away , i will always remember , animals , flower , human

Step-by-step explanat

ion:

Answer:

Step-by-step explanation:

HELP ME ANSWER THESE MATH QUESTIONS PLEASE! I WILL GIVE BRAINLYEST!!!

Answers

Answer:

1. C and d.

A.13/ 5 miles north and 8 miles east

B.8?( The question makes 80% no sense)

3. 51? (Not sure on this once since 51 isn’t really a child).

4.up 5 back 1 up 5 back 1 (is the pattern)

I hope i got it right! <3

John wrote the numbers 678901 and 67890. How many times greater is the value of 7 in 678901 than the value of 7 in 67890?

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Answer:In the number, 687,760, there are two 7s; one is at a place value of hundred and the other is at thousand.

Hence, the higher place value 7 is 10 times greater than lower place value 7. Every consecutive place value is 10 times greater than the right one.

Step-by-step explanation:

There is a proportional relationship between the number of quarts and number of gallons for liquid measurements. What constant of proportionality relates gallons to quarts?

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The value of constant of proportionality that relates gallons to quarts is 0.25 .

A constant of proportionality may be a constant worth for the magnitude relation of 2 proportional quantities. If the magnitude relation or product is constant, the 2 variables area unit proportional. the worth of the constant of quotient depends on the kind of relationship between the 2 given quantities (positive versus inverse variation).

As we all know that one gallon have four quartz.

The proportional relation is written as y = kx.

We know that y varies proportionately with x.

Substitute within the such that x = four and y = one values and solve for k.

1 = k(4)

k =1 /4 = 0.25

Therefore the constant of proportionality is 0.25

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Determine the range of f(x) = |x + 5|.

{y | −∞ < y < ∞}
{y | −5 < y < ∞}
{y | 0 ≤ y < ∞}
{y | 5 ≤ y < ∞}

Answers

The range for the given function f(x) = | x + 5 | is {y | 0 ≤ y < ∞}

What is a function?

A function defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The independent variable = domain

The dependent variable = Range

We have a function,

f(x) = | x + 5 |

Let,

f(x) = y

x = -7, y = | -7 + 5 | = | -2 | = 2

x = -5, y = | -5 + 5 | = 0

x = -6, y = | -6 + 5 | = | -1 | = 1

x = -4, y = | -4 + 5 | = 1

x = -3, y = | -3 + 5 | = 2

x = -2, y = | -2 + 5 | = 3

x = -1, y = | -1 + 5 | = 4

x = 0, y = | 0 + 5 | = | 5 | = 5

x = 1, y = | 1 + 5 | = | 6 | = 6

x = 2, y = | 2 + 5 | = | 7 | = 7

x = 3, y = | 3 + 5 | = | 8 | = 8

We see that as x takes any value y increases.

x = domain, and y = range

y = 0, 1, 2, 3, 4, 5, ,,,,,,,∞

Thus the range is {y | 0 ≤ y < ∞}

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Answer:

Step-by-step explanation:

What is the scale in first graph? In the second? Image above
Please help I’ll give you brainlist answer

Answers

Answer:

The first one is a scale by 1

The second one is a scale of 2

The third one is scale of 5 starting at 100

Step-by-step explanation:

6. Max earns television time by completing chores at home. For every 4 chores he completes, he earns 30 minutes of
television time. If Max wants to watch a movie that is 120 minutes long, how many chores does he need to complete
to earn enough television time? Show or explain your reasoning.
7. In science class, students create walking robots. Brian's robot can walk 12 feet in 4 minutes. Isabelle's robot can
walk 20 feet in 8 minutes.
Do the two robots walk at the same speed? If not, whose robot walks faster? Explain or show your reasoning

Answers

Answer:

Step-by-step explanation:

Im pretty sure u know this... but i'll do it anyway to get points.

6. 4 chores = 30 minutes of television time

He needs 120 minutes of television time

So he will need to multiply both sides by 4 to get the amount of chores he needs to do to watch the movie.

Therefore, he does 16 chores( 4 x 4 ) to earn enough television time.

7. Make the amount of minutes the same to see how the speed they walk at.

If we convert Isabelle's robot' s speed to feet in 4 minutes, we can just compare both robots normally.

20/2= 10 feet in 4 minutes(Isabelle's robot) < 12 feet in 4 minutes(Brian's robot)

Therefore, Brians robot walks faster.

8. Fiona buys different amounts of gas at $2.25. She has a graph which shows the
different amounts she should pay. What constraints are there on the domain of
the function?

Answers

Fiona has a function that shows the amount of money she has to pay ( f(.) as a function of the gas the buys (g).

So, the function can be written as: f(g).

As each litter costs $2.25 we can say that;

f(g) = 2.25g

Lets try to find put which constraints the function f(g) has in its domain, it is, what are the restrictions for the values of g.

Is evident that g cannot be negative, as one cannot buy negative liters of gasoline. We can buy any positive amount of gasoline, doesn't matter if it is an integer number or not. it is possible to buy 5 liters and also to buy 5.45454545545454 liters. A zero amount of liters is also possible, having zero cost.

Thus, as any positive or zero value is positive, but negative values are not, we can restrict the domain to every non-negative real number:

Therefore ,Domain(f) = [0, infinite ) or

Domain(f) = Real non negative.

Domains have to be purchased, and they are registered where they are purchased and paid for. You have a Domain Registrant, much like a house has a Home Owner. This person pays the mortgage to keep the house, just like a Domain Registrant has to pay for the domain yearly to keep it.

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12 a of 1/2 - 6a square ÷ 3a + (a+a)

Answers

The value of the expression is 6a.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is given as;

⇒ 12 a of 1/2 - 6a square ÷ 3a + (a + a)

Now, It can be written as;

12a of 1/2 - 6a² ÷ 3a + 2a

And, Solving by BODMAS rule as,

12a of 1/2 - 6a² ÷ 3a + 2a

12a * 1/2 - 6a² ÷ 3a + 2a

12a * 1/2 - 2a + 2a

6a - 2a - 2a

Hence, The value of the expression is 6a.

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For the pie chart, how many people aged 31-50 years old are cell phone users in the tri-County area if the number of people who use
cell phones is 72,345,000?

Answers

The number of people aged 31-50 years old are cell phone users in the tri-County area are 26,767,650.

What is defined as the pie chart?

A pie chart, also known as a circle chart, is a method of summarizing a set of numeric variables or displaying the variables of a given factor (e.g. percentage distribution).

A circle is divided into segments in this type of chart. Each section represents a different category.A pie chart (also known as a circle chart) is a radial statistical graphic that is divided in to other slices to show numerical proportion. The arc length of each slice in a pie chart (and thus its central angle but also area) is proportional to the amount it represents.

For the given question;

The total population = 72,345,000.

The total percentage between 31-50 years old = 23% + 14% (see from graph).

Let x be the total number of people between aged between 31 -50 years who are cell phone users.

(23% + 14%) of 72,345,000 = x

x = 37× 72,345,000 / 100

x = 26,767,650.

Therefore, the number of cell phone users aged between 31 to 50 are 26,767,650.

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vanna bought 4 CDs that were each the same price. Including sales tax, she paid a total of $57.20 Each CD had a tax of $0.80 What was the price of each CD before tax?

Answers

Answer:

multiply 57.20×4

Step-by-step explanation:

57.20×4once done you will get 228.20

please help me i need to figure out which one fast

Answers

Answer:

<1≅<3 <2≅<5 <3≅<6

a desk is on sale for $380, which is 40% off the original price. which equation can be used to determine the amount of money saved, s, in dollars, when purchasing this desk on sale?

Answers

you save $253.33 if you purchase this desk on sale.

How to find the money saved?

We know that the price in sale of the desk is $380, and this is given by a discount of the 40% of the original price.

So, if the original price is defined by the variable P, the amoun you save by buying the discounted deck is:

P - $380

Now, remember that the discounted price should be written in terms of P as:

$380 = P*(1 - 0.4) = P*0.6

Where 0.4 is the decimal form of 40%.

With that we can find the value of P as:

P = $380/0.6

Then the amount that you save is given by:

P - $380 = $380/0.6 - $380 = $253.33

We conclude that you save $253.33 if you purchase this desk on sale.

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The point (—7,0) is on the graph of the function y=f(x). Which point cannot be on the graph of y=f(x)?

• (0,0)

• (0,-7)

• (-7,-7)

• (7,0)

Answers

First option is correct

Which of the following is a factor of x3 − 1331?

x − 11
x2 − 11x + 121
x2 + 22x + 121
None of the above

Answers

Based on the information, the option that is a factor of x³ - 1331 is A. x - 11.

What are factors?

It should be noted that factor simply means the number that divides another number. In contrast to multiples, which are multiplied by another number to produce particular numbers, factors are the numbers that split the supplied number exactly.

It should be noted that when we factor out 1331, we will get the values of 11 × 11 × 11. Therefore, it should be noted that the expression will become x³ - 11³.

Therefore, it should be noted that the formula that will be applied will be:

a³ - b³ = (a - b)(a² + an + b²)

Therefore, applying the formula illustrated will give:

x³ - 11³

= (x - 11)(x² + 11x + 11²)

= (x - 11)(x² + 11x + 121

Therefore, the option that is a factor of x³ - 1331 is x - 11.

Based on the information, the option that is a factor of x³ - 1331 is A. x - 11. In conclusion, the correct option is A.

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Answer:

Step-by-step explanation:

The number π is WHAT IS THE ANSWER I LOVE IT

Answers

Answer:

what's your question?

Step-by-step explanation:

Diego is making a stack of Pennie’s. He starts with 5 and then adds them 1 at a time. A penny is 1.52 mm thick.

Answers

The stack of pennies is an illustration of linear equation.

The equation for n pennies is: h(n) = 7.6 + 1.52nh(n)=7.6+1.52n .

h(1.52) does not make sense

(a) Complete the table

From the question, we have:

Start = 5Start=5 ---- the number of penny he started with

Thick = 1.52Thick=1.52 --- the thickness of a penny

The height of n pennies is calculated using:

h(n) = (Start + n) \times Thickh(n)=(Start+n)×Thick

So, we have:

h(n) = (5 + n) \times 1.52h(n)=(5+n)×1.52

h(n) = 7.6 + 1.52nh(n)=7.6+1.52n

When n = 0;

h(0) = 7.6 + 1.52 \times = 7.6h(0)=7.6+1.52×=7.6

When n = 1;

h(1) = 7.6 + 1.52 \times 1 = 9.12h(1)=7.6+1.52×1=9.12

When n = 2

h(2) = 7.6 + 1.52 \times 2= 10.64h(2)=7.6+1.52×2=10.64

When n = 3

h(2) = 7.6 + 1.52 \times 3= 12.16h(2)=7.6+1.52×3=12.16

b) h(1.52) does not make sense.

This is so because:

n will always be a whole number because it represents the number of pennies

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Find and y.
x
A
8
||
y=
B
»
yx
18
D

Answers

The solution of the given equations that is x = 7 and x + y = 18 is :

x = 7

y = 11

What is a parallelogram ?

A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.

The figure shown is an parallelogram, where length of opposite sides are equal to each other

From the figure,

x = 7, as opposite side of x is given as 7

x + y = 18,

Putting the value of x in the above equation,

7 + y = 18

y = 18 - 7

y = 11

Therefore, we get after solving the given equations :

x = 7

y = 11

Answers

Answer:50 min a day

Step-by-step explanation: julia studied 50 min a day

Please do not claim this unless you answer the question.

If the sum of two integers with opposite signs gives a negative result, then the larger absolute value of the two integers was _________

Answers

negative , you always put the biggest numbers value at the end

Answer:

The absolute value was negative.

Step-by-step explanation:

I assumed both integers had the same absolute value, and using this info, I came up with negative, because it is the bigger value.

There are 135 people in a sport centre.
73 people use the gym.
73 people use the swimming pool.
67 people use the track.
36 people use the gym and the pool.
35 people use the pool and the track.
32 people use the gym and the track.
14 people use all three facilities.
A person is selected at random.
What is the probability that this person uses at least 2 facilities?

Answers

Probability that this person uses at least 2 facilities is; 0.556

How to Interpret Venn Diagrams?

We are told that 14 people use all three facilities. This means:

36 − 14 = 22 represents the number of people that are using the gym and the pool but no the track.

35 − 14 = 21 represents the number of people that are using the pool and the track but no the gym.

32 − 14 = 18 represents the number of people that are using the gym and the track but no the pool.

Thus, total number of people that use at least 2 facilities = 14 + 22 + 21 + 18 = 75

Since total number of people at the sports center is 135, then it means that;

Probability that this person uses at least 2 facilities = 75/135 = 0.556

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LOTS OF POINTS PLS ANSWER

Answers

Answer:

continuous it is continuous

simplify 4 (7 - 3) + 11
A- 42
B- 14
C- 36
D- 27

Answers

Answer:

D-27

Step-by-step explanation:

4(7-3)+11

=28-12+11

=28+11-12

=28-1

=27

pls rate as brainliest

Answer:

D 27

Step-by-step explanation:

To simplify 4 (7 - 3) + 11 we have to know the order of operations PEMDAS that has the meaning Parenthesis Exponents Multiplication Division Addition Subtraction.

Apply PAMDAS to our problem 4 (7 - 3) + 11

1. Parenthesis →solve what is in parenthesis 7-3= 4

4 (7 - 3) + 11 =

4 · 4 +11

2. Multiplication and Division →solve the multiplication 4·4 =16

4 · 4 +11 =

16 +11

3. Addition and Subtraction →add 16+11 = 27

16 +11 =

a ball is thrown with an initial height of 4 feet with an initial velocity of 36 ft/s. h= 4 + 36t - 16t^2 find the values of t for which the rockets height is 25 meters

Answers

The value of t for which the rockets height is 25 meters is 40.7 seconds

How to calculate the time?

From the information, the ball is thrown with an initial height of 4 feet with an initial velocity of 36 ft/s. h= 4 + 36t - 16t².

Therefore, the values of t for which the rockets height is 25 meters will be:

h= 4 + 36t - 16t².

where h = 25

25 = 4 + 36t - 16t².

Collect like terms

25 - 4 - 36t + 16t² = 0

16t² - 36t -21 = 0

Using almighty formula

t = 40.7 seconds.

Therefore, the value of t for which the rockets height is 25 meters is 40.7 seconds

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A rectangle measures 10 inches by 10 feet. What is the area of the rectangle, in square inches?

Use the dimensional analysis method (that is, do your computation with units).

square inches

Use conversion factors in the References section of this course if you need them.

Answers

Answer: it's 100

Step-by-step explanation:

^-^

Find the polynomial of degree 3, with constant coefficient -12 and zeros -3, -1, and 2.

Answers

The equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)

What are polynomial expressions?

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the polynomial equation?

The given parameters are

Degree of polynomial = 3Zeros = -3, -1, 2Constant coefficient = -12

The sum of multiplicities of the polynomial equation must be equal to the degree.

This means that the multiplicity of each zero is 1

The equation of the polynomial is then calculated as

P(x) = Coefficient * (x - zero)^ multiplicity

So, we have

P(x) = -12(x - (-3))(x - (-1))(x - 2)

This gives

P(x) = -12(x + 3))(x + 1)(x - 2)

Hence, the equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)

chapter 8 1.Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary.

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chapter 8
1.Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary.