Mathematics High School

The world's biggest rubber band ball has a surface area of 27648. Using 3 as pi for both surface area and volume, estimate the volume of the ball.
Question 5 options:

358966


788428


442368


257854

Answers

Answer 1
we know that
surface area of sphere=4*pi*r²
r=√[surface area/(4*pi)]
for surface area=27648
r=√[27648/(4*3)]-------> r=√2304-----> r=48 units

volume of a sphere=(4/3)*pi*r³-----> (4/3)*3*48³---> 442638 units³

the answer is
442368

Related Questions

A park in a subdivision has a triangular shape two adjacent side of the park are 433 and 520 the angle between the sides is 37 find the area of the park to the nearest square foot hint use theorem 10-8

Answers

Answer:

[tex]67750.644 ft^2[/tex]

Step-by-step explanation:

Given : A park in a subdivision has a triangular shape two adjacent side of the park are 433 and 520 the angle between the sides is 37

To Find: the area of the park to the nearest square foot

Solution:

Refer the attached figure

Area of triangle = [tex]\frac{1}{2} \times a \times b \times sin c[/tex]

a = 433

b=520

Sin c = Sin 37° = 0.6018

Area of triangle = [tex]\frac{1}{2} \times 433 \times 520 \times 0.6018[/tex]

Area of triangle = [tex]67750.644[/tex]

Hence the area of the park is [tex]67750.644 ft^2[/tex]

Identify the solution set of the inequality using the given replacement set. x < –4; {–5, –4.6, –4, –0.8, 1, 1.5}

Answers

The solution set is {-0.8, 1, 1.5}. You are just plugging in the values for x from the solution set. Then you see if it gives you a true mathematical statement. For example:

If you plug in -5 for x you get

[tex] - 5 < - 4[/tex]
which is not true, so it is not a solution. Therefore it is not apart of the solution set. Same for -4.6, and -4, as these values are not greater than -4. However when you substitute in -0.8 you get the solution:

[tex] - 0.8 < - 4[/tex]
which is true, and it is the same for 1 and 1.5, which is why these numbers would be considered as part of the solution set.

What is the value after 7 years of a 2014 Ford Mustang that originally costs 25000 if it depreciates at a rate of 8% per year

Answers

$13,946.16

1. $25,000 is 100% of the cars original cost. You want to add an 8% depreciation rate per year, so you subtract 8%, to get 92%.

2. Move 92% over two decimal places to get .92, you can multiply this by the original price to find the price of the car after one year of depreciation. 25,000 * .92 = 23,000. The car cost $23,000 after the first year.

3. Repeat this process 6 more times to find the price of the car after 7 years.

The answer is $13,946.16


Answer:

The answer is 14000

Step-by-step explanation:

Fifty-eight boys were asked if they play football and/or baseball. Thirty-one of them said they do not play baseball. Sixteen of them said they play football. Twenty of them said they do not play baseball or football. Match the following values to their correct places on the two-way table.

Answers

Answer:

5 play Football & Baseball; 22 don't play Football; 11 don't play baseball; 20 don't play either football or baseball. See captures attached. The missing one in your original answer + the one made in Excel.

Step-by-step explanation:

If you fill out the blanks the way explained in the answer, you can prove that the 3 sentences match perfectly. The sum of all of them totals 58.

1. Thirty-one of them said they do not play baseball.

2. Sixteen of them said they play football.

3. Twenty of them said they do not play baseball or football.

By the way, as I mentioned before, I also attached the missing image in your original question.

Have a great day!

Answer:

Here is the answer.

David is building a sandbox for his nephew. The dimensions are 10 ft. by 8 ft. and is 1.5 ft. deep. How much sand will the box hold? Give answer in terms of cubic feet.

Answers

So you are looking for the volume of the sand box so what you need to do is multiply the info you got. 10x8x1.5=120

so your answer would be 120 sf

Volume = Length x Width x Height 

Volume = 10 x 8 x 1.5 = 120 ft³

Answer: The box can hold 120 ft³ of sand.

Can someone answer for me please, if you're great at math.

The equation sin (35o) = 12/c can be used to find the length of AB. What is the length of AB? Round to the nearest tenth.

*A <35o ; CB = 12*

Answers

Assuming that c is the length of AB (as is usually the case in the angle-side notation for triangles):
If sin(35) = 12/c, we can transform by multiplying both sides by c, and dividing both by sin(35) to get
c = 12/sin(35)
Evaluating using a calculator gives 20.92 units.

List the following stocks and bonds in order from lowest default risk to highest default risk:

Bond in a stable foreign government
Preferred stock
Common stock

A. foreign government bond, common stock, preferred stock

B. foreign government bond, preferred stock, common stock

C. common stock, preferred stock, foreign government bond

D. preferred stock, common stock, foreign government bond

Answers

A foreign government bond is issued by a Country that needs money and borrows it from the investors, therefore, you would become a creditor of the government/Country.

Stocks represent part of the ownership of a corporation, but preferred stockholders get paid before the common stockholders, especially in case of insolvency of the corporation.

Therefore, the least risky investment is a bond of a foreign government, while the riskiest investment is a common stock.

Hence, the correct answer is B. foreign government bond, preferred stock, common stock.

Kevin is 39 years old and daniel is 3 years old.how many years will it take until kevin is only 4 times as old as daniel?

Answers

9 :)))))))))))))))))

On a scatter plot, what is the difference of a positive and negative correlation

Answers

Final answer:

On a scatter plot, a positive correlation indicates an increasing relationship between two variables, represented by an upward slope. Negative correlation shows a decreasing relationship, represented by a downward slope. The strength of these relationships is determined by the correlation coefficient.

Explanation:

In a scatter plot, a positive correlation and a negative correlation represent different types of relationships between two variables. A positive correlation suggests that as one variable increases, the other also increases. For example, height and weight are usually positively correlated, as the taller a person is, the more they tend to weigh.

On the other hand, a negative correlation means that as one variable increases, the other decreases. Graphically, this is represented by a downward slope from left to right. An example of this is the relationship between hours of sleep and tiredness, more hours of sleep typically correspond to less tiredness.

The strength of these correlations are determined by the correlation coefficient. A correlation coefficient closer to 1 or -1 indicates a stronger relationship, and a coefficient closer to 0 indicates a weaker relationship.

Learn more about Correlation here:

https://brainly.com/question/31588111

#SPJ2

What is the area of a square with side lengths of 7 feet?


A.
28 ft

B.
28 ft2


C.
49 ft2


D.
49 ft

Answers

The side lengths of a square is equal, thus length=width, hence the dimensions of our square will be:
length=width=7 ft
hence;
area=length×width
area=7×7
area=49 ft²

Answer: 
C.
49 ft2

Pls Pls Pls Pls Pls Pls pls

Answers

The answer is 57 pounds, this is because we just take E380 and times it by .15

Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours, and Jaquan starts with 80 bacteria that double every 3 hours. x= number of DAYS. Would Colby's experiment be modeled by... y=50(2)^x y=50(2)^8x or y=50(2)^12x Would Jaquan's experiment be modeled by... y=80(2)^x y=80(2)^8x or y=80(2)^12x

Answers

Given that x=number of days
To model the expressions we use the exponential growth given by:
y=a(b)^nx
where:
a=initial value
b=growth factor
n=24 hours
thus Colby's experiment will be:
y=50(2)^(1/2*24*x)
y=50(2)^(12x)
N/B we multiply by 24 so as to convert days into hours

b] Jaquan's starts with 80 bacteria that double every 3 hours.
a=80, b=2
thus
y=80(2)^(1/3×24×x)
simplifying the above we get:
y=80(2)^(8x)

In how many ways can three married couples attending a concert be seated in a row of six seats if

Answers

 i think it would be 30 ways 

The graph represents the feasible region for the system:

y<=2x
 x + y<=45
x <=30

Minimize the objective function P = 25x + 20y.

The minimum value =?
and occurs when x = ?
and y = ?

Answers

We have been given a system of inequalities and an objective function.

The inequalities are given as:

[tex]y\leq 2x\\ x+y\leq 45\\ x\leq 30\\[/tex]

And the objective function is given as:

[tex]P=25x+20y[/tex]

In order to find the minimum value of the objective function at the given feasible region, we need to first graph the region.

The graph of the region is shown below:

From the graph, we can see that corner points of the feasible region are:

(x,y) = (15,30),(30,15) and (30,60).

Now we will evaluate the value of the objective function at each of these corner points and then we will compare which of those values is minimum.

[tex]\text{At (15,30)}\Leftrightarrow P=25\cdot 15+20\cdot 30=975\\ \text{At (30,15)}\Leftrightarrow P=25\cdot 30+20\cdot 15=1050\\ \text{At (30,60)}\Leftrightarrow P=25\cdot 30+20\cdot 60=1950\\[/tex]

Hence the minimum value of objective function is 975 and it occurs at x = 15 and y = 30

Answer:

The minimum value =

975

and occurs when x =

15

and y =

30

Step-by-step explanation:

Edge. 2020

A house and a lot is appraised at $212,400. The value of the house is five times more the value of the lot. What is the house worth?

Answers

the house is worth $177,000
the lot is worth $35,400

Please help asap 30 pts

Answers

D. If you were to graph this, the vertex would be at (9/8,101/4), or (1.13,25.25).

What is the probability of flipping a coin 75 times and getting tails 35 times or fewer? Round your answer to the nearest tenth of a percent.

A. 99.7%
B. 32.2%
C. 5.3%
D. 75.6%

Answers

Let X be the number of tail when a coin is flipped n number of times. Let n is the number of times a coin is flipped. Let p be the probability of getting tail on any flip of coin.

Here as coin is fair coin the chance of getting head or tail at any flip is 1/2.

n=75, p =0.5

From given information X follows Binomial distribution with n=75 and p=0.5

The probability that getting tail 35 or fewer times is

P(X ≤ 35) = P(X=35) + P(X=34) + P(X=33) + ....+ P(X=2) + P(x=1)

The Binomial probability is calculated using probability function

[tex] P(X=k) = (nCk) p^{k} (1-p) ^{n-k} [/tex]

For given parameters n=75 and p=0.5 the probability of getting X=k is

[tex] P(X=k) = (75Ck) 0.5^{k} (1-0.5) ^{75-k} [/tex]

Using excel function to find cumulative binomial probability for x=1 to 35 is

=BINOM.DIST(35,75,0.5,1) = 0.322

The probability there will be 35 or fewer tails is 0.322

The percentage of getting 35 or fewer tails is 32.2%

i need help on number 3 please. i don’t think my answer is correct

Answers

Your mistake was that you wrote 7x-5 and 9x-16 as 7x+5 and 9x+16. You have to add the expressions the way it is. It helps to put the parenthesis around it. So when you add (7x-5)+(9x-16)+(3x+11) you get 19x -10 =180. So 19x=190, so x=10.
You have the right idea: add up the three angles and set the sum equal to 180. However you misplaced a few signs. You wrote 7x+5 when it should be 7x-5. Also you wrote 9x+16 when it's actually 9x-16. 

Think of the three angles as A, B, C
A = 7x-5
B = 9x-16
C = 3x+11
Adding up A,B,C will lead us to 180 degrees
A+B+C = 180
7x-5+B+C = 180 ... replace A with 7x-5
7x-5+9x-16+C = 180 ... replace B with 9x-16
7x-5+9x-16+3x+11 = 180 ... replace C with 3x+11

Now we solve for x
7x-5+9x-16+3x+11 = 180
 19x-10 = 180
 19x-10+10 = 180+10 ... add 10 to both sides
 19x = 190
 19x/19 = 190/19 ... divide both sides by 19
 x = 10
 
 Answer: 10


Please Help!

A train passes by an observer in 6 seconds and over a bridge 350m long in 20 seconds. Find the speed and length of the train.

Answers

Let x be the length of the train.

On the basis of the observer;
Speed of the train = x/6

On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20

Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.

Therefore,
Length of train = 150 m
Speed of train = 25 m/s

What is the next step in completing this construction?

Answers

The intent of the construction appears to be to produce tangents from point P to the circle O. There are several possible next steps:
• Name the point of intersection just created between the arc and circle O
• Draw a line (or segment) between points P and J
• Draw a line (or segment) between point P and the intersecting point just created on circle O.

Answer:

The next step in completing the construction is

Join P to cut arc on circle i.e join PJ.

Step-by-step explanation:

Given the construction of tangent from the external point.

we have to tell the next step in completing the construction shown in diagram.

The step for construction are

Step 1: Draw a line joining the point to center of the circle  to any external point P.

Step 2: Construct the perpendicular bisector of that line .

Step 3: Place the compass on the midpoint, adjust its length to reach the point P, and draw an arc across the circle .

Step 4: Join P to cut arc on circle i.e join PJ.

The 4 step is required step to complete the construction.

Hence, the next step in completing the construction is

Join P to cut arc on circle i.e join PJ.

 

Jerry played with 3 friends today, all at different times. He played with Tommy for 7/8
7​start fraction, 7, divided by, 8, end fraction of an hour, then Nathan for 3/4, then Chris for 3/2
How many hours did Jerry play with his 3 friends today?

Answers

To find the total number of hours that Jerry played with his friends, you will add the amount of times he played with each.

7/8 hour+ 3/4 hour + 3/2 hours; create fractions with common denominators.
7/8 + 6/8 + 12/8
25/8 = 3 1/8 hours.

Jerry played with his friends for 3 1/8 hours.

What is 10/12 equivalent to

Answers

10/12 is equal to 5/6.

This can be found by dividing both to and bottom by 2, thus simplifying it into 5/6.

I hope this helps!
[tex] \frac{10}{12} [/tex] is equivalent to both [tex] \frac{5}{6} [/tex] and ≈ 0.833 repeated. In order to find out the fraction that is equivalent to [tex] \frac{10}{12} [/tex] you need to reduce the fraction with 2. Once you do this you're left with [tex] \frac{5}{6} [/tex],, making it the equivalent fraction. In order to find out a fractions equivalent decimal,, you need to divide the top of the fraction (10) by the bottom of the fraction (12) in which case you would get ≈ 0.8333333 repeated.
Let me know if you have any further questions.
:)

A weather satellite I'm circular orbit around earth completes one orbit every 5 hours. The radius of earth is about 6,400 km and the satellite is positioned 4,700 km above the earth. How far does the satellite travel in 1 hour?

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have that:

 - It completes one orbit every 5 hours.
 - The radius of earth is about 6,400 km.
 - The satellite is positioned 4,700 km above the earth. 

 2. Then, you must use the following formula:

 S=rθ

 r=6,400 km+4,700 km
 r=11,100 km

 3. When you substitute the values, you obtain:

 S=(11,100 km x 2π)/5
 S=13,949 km

 The answer is:13,949 km

Which situation is best modeled by the equation 9+x=16 ?
a.You have $16
left after spending $9
and some other amount.

b.Nine friends each pay the same amount to get into a theme park, and the total is $16.

c.The price of a water bottle, $9
, was decreased by some amount to $16.

d.You pay $9
for a burger and some amount for dessert for a total of $16.

Answers

Answer:

d. You pay $9  for a burger and some amount for dessert for a total of $16.

Step-by-step explanation:

We have the following equation:

[tex]9+x=16[/tex]

So the variable of this equation is the amount of money. According to the statement we have that:

A burger costs $9.A dessert costs $xThe total you pay is $16

If we solve this equation, we have that:

[tex]x=7[/tex]

So the dessert costs $7. Finally, you pay $16 for the burger and the dessert as follows:

You pay $9 for the burger.You pay $7 for the dessert.You pay a total amount of money = $16

Answer:

You pay $9

$

9

for a burger and some amount for dessert for a total of $16

$

16

.

Step-by-step explanation:

Abigail wants to measure the dimensions of a classroom to figure out how many desks can fit in the room. Which method could Abigail use to get the most accurate measurements?

Answers

weight and length but you need more variables

Answer:

Abigail could use a 50-foot tape measure to find the length of the classroom.

The number 12,570 is divisible by 2, 3, and 6. True False

Answers

true because all of the numbers here divide and multiply back in to the original  number 12,570.

Answer:

true have a amazing and blessed day god loves you

Step-by-step explanation:

Find the area of this shape

Answers

You do A=1/2xhx(b1+b2)
A=1/2x3.6x(3.6+9)
A=1/2x3.6x12.6
A=1/2x45.36
A=22.68

40 POINTS!

Any help would be greatly appreciated!

Answers

Look at the picture.
[tex]\cos x=\sin x[/tex]

[tex]x=\dfrac{\pi}{4}+k\pi;\ k\in\mathbb{Z}[/tex]



How do I find the values for a, b, and c, to complete the solution?

Answers

Answer:

The values a, b, and c are: a = - 4, b = 3, c = 6

The solutions to the equation are: x = - 4 + 3√6 and x = - 4 - 3√6

Explanation:

1) First step is complete squares:

x² + 8x = 38 ← given

x² + 8x + (8/2)² = 38 + (8/4)² ← add square of the half of 8

x² + 8x + 16 = 38 + 16 ← solve the parenthesis

x² + 8x  + 16 = 54 ← combine like terms

2) Second, solve the equation:

(x + 4)² = 54 ← factor the perfect square trinomial

(x + 4) = +/- √54 ← extract square root of both sides

x = - 4 +/- √54 ← subtract 4 from both sides

x = -4 +/- 3√6 ← simplify the root

x = - 4 + 3√6 and x = - 4 - 3√6 ← separate the two solutions

3) Third, compare with the solutions shown:

x = a + b√c and x = a - b√c

⇒ a = -4, b = 3, c = 6

If a tessellation is regular, how many sides can the tessellating regular polygon have?

Answers

For the answer to the question above, I think that only the regular polygons that tessellate are equilateral triangles, squares, and regular hexagons.
I hope my answer helped you. Have a nice day!
3, 4, 6 apex not sure if it is correct but i think it is 
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