Answer:
As Per Given Information
Diameter of of baseball = 74 mm
We've been asked to find the volume of baseball .
As we know
Radius = Diameter/2
Radius = 74/2
Radius = 37 mm ( 1 mm = 0.1 cm)
Radius = 37/10 cm
Radius = 3.7 cm
Now let's calculate the volume of baseball
volume of baseball = 4/3 πr³
Put the given value we obtain
→ volume of baseball = 4/3 × 3.14 × (3.7)³
→ volume of baseball = 4/3 × 3.14 × 50.653
→ volume of baseball = 4/3 × 159.05042
→ volume of baseball = 636.20168/3
→ volume of baseball = 212.06
→ volume of baseball = 212 cm³ ( approx)
So, the volume of baseball is 212 cm³.
Solution:
We know that:
[tex]V_{Baseball} = \frac{4}{3} \pi r^{3} \\ \\ Diameter = 74 \space\ mm\\\\Radius = \frac{Diameter}{2}[/tex]
Finding the area of the baseball:
[tex]V_{Baseball} = (\frac{4}{3})( \pi )(r^{3})[/tex]
[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][(\frac{74}{2}) ^{3}][/tex]
[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][(37) ^{3}][/tex]
[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][50653}][/tex]
[tex]V_{Baseball} = 212067.227 \space\ mm^{3} \space\ (Using\ calculator)[/tex]
Rounding the volume to the nearest tenth:
[tex]V_{Baseball} = 212067.227 \space\ mm^{3} = 212067.2 \space\ mm^{3}[/tex]
Thus, 212067.2 mm³ is the volume of the baseball.
7 - (- __ ) = 12
what is the missing number
Answer:
7 - - 5 = 12
Step-by-step explanation:
Answer:
7+5=12
Step-by-step explanation:
even numbers of negatives alwasy equal positive
Question
A sportswear manufacturer is introducing a new line of sneakers. To introduce the new line, the company must pay out a
fixed cost of $1.5 million for advertising and equipment, plus there is a cost of 40 cents per pair of sneakers manufactured.
It plans to sell the sneakers for $75 per pair.
Let x be the number of pairs of sneakers manufactured. If the firm only manages to sell 15,000 sneakers, what is the total
loss?
Answer:
$381,000 loss
Step-by-step explanation:
Profit is the difference between revenue and cost. Cost is the sum of fixed cost and variable cost. Revenue is the product of selling price and quantity sold.
__
If we assume the company only manufactures as many sneakers as it sells, then the profit can be found from ...
R(x) = 75x . . . . . revenue from selling x sneakers
C(x) = 1,500,000 +0.40x . . . . . . cost to manufacture x sneakers
P(x) = R(x) -C(x) . . . . . profit from making and selling x sneakers
P(x) = 75x -(1,500,000 +0.40x)
P(x) = 74.60x -1,500,000 . . . . . profit from x sneakers
P(15000) = 74.60·15,000 -1,500,000 = 1,119,000 -1,500,000
P(15000) = -381,000
The total loss from making and selling 15,000 sneakers is $381,000.
Thirteen is about what percent of 20
200% of d is 18. What is d?
Answer:
9
Step-by-step explanation:
Should be correct.
prince owe R24000 every month he pays R600 . determine after how many months will she owe R3000
Answer:
35
Step-by-step explanation:
If prince owes ₹3000, the debt will have been reduced by ₹24000-3000 = ₹21000. The amount of time it takes to reduce the debt by that amount is ...
₹21000/(₹600/mo) = 35 mo
After 35 months, prince will owe ₹3000.
What is the product in simplest form? −6/11x3/4
Answer:
In fraction: -9/22
In decimal: -0.409 with repeating over the 09
Step-by-step explanation:
what is the mean of the given data -7,-10,-6,-2,8,-2,12
Answer:
-1
Step-by-step explanation:
mean means the average. so, add together all the given data, which you will get -7, then divide by the amount of data given, which is 7, and you will get -1
Find the value of x
please help :(
Answer:
x=7
Step-by-step explanation:
Since the angles are the same, the sides have to be the same length
x=7
Answer: x = 7
We see that the angles in the triangle are the same length. So, they have the same value as each other.
x = 7
The lunch special at Scott's Restaurant is a sandwich, a drink and a dessert. There are 3 sandwiches, 1 drink, and 2 desserts to choose from. How many lunch specials are possible?
Answer:
24 for being able to not have one, 6 for having one of each
Step-by-step explanation:
multiplication
with the option of none
4*2*3=24
without the option of none
3*1*2=6
For Exercises 6-9, find the coordinates of each point
described in relation to line segment CD.
6. of the way from C to D
7. of the way from D to C
8. of the way from C to D
9. of the way from D to C
10. What is the distance formula?
Answer:
we need the coordinates really. I can tell you that for any 2 coordinates the distance between them can be found using the Distance formula D=sq. rt (x1-x2)^2 + (y1-y2)^2
What is the measure of 21? 100° 90° 80° 85° 95%
Answer:
A quadrilateral's interior angles have a sum of 360°.
Given that we have 85°, 100°, and 90°(the right angle), and an unknown angle.
We can add these angles plus the unknown angle to equal a total of 360°.
85 + 100 + 90 + x(our unknown missing angle) = 360
simplify
275 + x = 360
Isolate x by subtract 275 from both sides;
-275 -275
x = 85, ∠1 = 85°
We can also double check:-
85 + 100 + 90 + 85 = 360
360 = 360 which is correct.
√7÷3 ..simplify and denominator relalization
Answer:
1.5, or 1 R 5.
Step-by-step explanation:
The equation is...
[tex]\sqrt{(7 /3)}[/tex]
Find the value of 7 divided by 3. It is 2, remainder 3 because...
3 goes into 7, 2 times.
Now, square root the value of the division. In short words, find factors.
1/3 is a reduction of 2/3, that means it could be put as 2/3 if you substitute for this situation.
[tex]\frac{1}{3} \leq \frac{2}{3}[/tex]
[tex]\frac{1}{3}[/tex] is also looked at as 1.5
Therefore, your answer is 1.5
What measure of central tendency requires the data set to be listed in ascending or descending order?
Answer:
The median.
Step-by-step explanation:
You need to find the middle value of the data
Show all work for full credit. Given: f (x) = -2x + 1, find f (1) x Clear h Undo
Answer:
I hope this helps
Step-by-step explanation:
five percent
anyone helpp me.....
25 pnts.
Domain is the x-intercept(first number) for example if I were told to find the domain in (1,3)(4,7)(8,9) the domain would be 1,4, and 8 because they're the x-factors and then plotting a point, the x-factors come first.
Range is the y-factors(second number) and given an example above, the ranges would be 3,7, and 9 because when plotting, they are the second number.
You can tell if it is a function or not if the X-factors repeat. For example, the first one is NOT a function because the 2 repeats for the x-factor. Number 2 IS a function because the x-factor doesn't repeat.
Sorry if this doesn't make sense, that's the best way I can explain!
Determine if the two triangular pyramids are similar.
Match up the corresponding parts.
Answer:
no they are not similar
Step-by-step explanation:
8/12 does not reduce to the same amount that 6/8 and 12,16
Which Choice is equivalent to the product below when x is greater than or equal to zero
The Computer Club has a budget of $90 for a pizza party. The club can get large pizzas for $10 and cases of soda for $3.50. The club would like to buy at least 5 large pizzas and at least 3 cases of soda.
a. Write a system of linear equations that describes the given information. Use x for the number of large pizzas and y for the number of cases of soda the club will buy.
b. Graph the system you wrote in part (a).
c. Can the club buy 6 pizzas and 4 cases of soda? Explain.
d. Find the maximum number of cases of soda the club can buy if the club decides to buy 7 pizzas.
Answer: Doing the most I can answer
Step-by-step explanation:
yes they can buy 5 large pizzas and 3 cans of soda.
Yes they can buy 6 large pizzas and 4 cans of soda
If they buy 7 pizzas, they can get 5 cans of soda,
Suppose 59% of the students in a university are baseball players. If a sample of 632 students is selected, what is the probability that the sample proportion of baseball players will be greater than 63%
Using the normal probability distribution and the central limit theorem, it is found that there is a 0.0207 = 2.07% probability that the sample proportion of baseball players will be greater than 63%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, we have that:
59% of the students in a university are baseball players, hence p = 0.59.A sample of 632 students is selected, hence n = 632.The mean and the standard error are given by:
[tex]\mu = p = 0.59[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.59(0.41)}{632}} = 0.0196[/tex]
The probability that the sample proportion of baseball players will be greater than 63% is one subtracted by the p-value of Z when X = 0.63, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.63 - 0.59}{0.0196}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a p-value of 0.9793.
1 - 0.9793 = 0.0207.
0.0207 = 2.07% probability that the sample proportion of baseball players will be greater than 63%.
To learn more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213
How many terms are there in the series 5 + 9 + 13 +.....+ 77 ?
Answer:
19 term
Step-by-step explanation:
you need to know the expression ... these three dots, first
not easy
(77-5)/4+1=19
Answer:
19 terms
Step-by-step explanation:
terms = 5,9,13,17,21,25,29,33,37,41,45,49,53,57,61,65,69,71,73,77
I hope it will be helpfulCynthia’s broker charges her a commission of $88 for every $1000 of stock bought or sold. Cynthia bought 2,000 shares of Ombor Medical Supplies at $35.49 apiece. As the price rose and fell, she sold off part of her holdings. When the price rose to $48.57, she sold 600 shares. The price fell somewhat to $46.10, so she sold 1,150 of her shares. When the price climbed to $53.46, she sold off the remainder of her holdings. How much profit did Cynthia make in total?
a.
$9,889.82
b.
$24,542.00
c.
$16,312.06
d.
$74,799.58
Answer:
The answer I got was wrong, but I have a solution process, at least.
Step-by-step explanation:
600*48.57+1150*46.10+250*53.46-2000*35.49
=21942+53015+13365-70980
=17342
Now we need to subtract the commission that Cynthia is paying her broker. $88 per $1000 means Cynthia owes her broker 17*88=$1496. Now we subtract that from 17342 to get $15,846.
Answer:its A. $9,889.82
Step-by-step explanation:
Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closing the account.
No money was deposited into or withdrawn from the account.
How many years was the money in the account?
Round your answer to the nearest whole year.
Enter your answer in the box.
Answer:
Your answer is 4 Years!
Answer: 4 Years
Step-by-step explanation: Just to confirm the other person it is 4 years!
PLEASE HURRY 100 POINTS!
Marques made a mistake when solving this problem. On what line did he make the error?
A) Line 1
B) Line 2
C) Line 3
D) Line 4
E) Line 5
Answer:
B) Line 2
using the formula:
[tex]\sf c^2 = a^2 + b^2 -2abcos(C)[/tex]
[tex]\sf c^2 = 14^2 + 8^2 -2(14)(8)cos(80)[/tex]
[tex]\sf c^2 = 196 + 64 -244 *0.173[/tex]
[tex]\sf c^2 = 221.1[/tex]
[tex]\sf \sqrt{c} = \sqrt{221.1}[/tex]
[tex]\sf c = 14.87[/tex]
Use law of cosines
c²=a²+b²-2abcosCc²=14²+8²-2(14)(8)cos80c²=196+64-244(0.173)c²=221.1c=14.87Error at line 2
In a right triangular prism, the area of the triangular base is 50 square feet. The height of the prism is 12 feet. What is the volume of the prism?
A.10yd
B.15yd
C.13yd
D.6yd
We know for all 3D shapes
Volume=Area of base×HeightNow
Area of base=50ft^2Height=12ftVolume:-
[tex]\\ \rm\rightarrowtail 50(12)[/tex]
[tex]\\ \rm\rightarrowtail 600ft^3[/tex]
1 yd=3 ft1yd^3=27ft^3[tex]\\ \rm\rightarrowtail Volume=600/27=22.2yd^3[/tex]
Somewhat wrong in the options
Answer:
600ft
Step-by-step explanation:
Someone plz help me out
Which of the following is the prime factorization of 42? Choose the correct answer.
Answer:
2x3x7
Step-by-step explanation:
Because that's what you have to multiply giving you 42
Answer:
7×2×3
Step-by-step explanation:
solve and check the equation 3(5-2x)=2(4x=3)
They got 9/14 as the solution set but I do not know how?
Thank you so much.
Answer:
3(5-2x) = 2(4x=3)
= 15-6x = 8x=6
= 15-6x = 8x-6
= 15-6 = 8x+6x
= 9 = 14x
therefore, x=9/14
Step-by-step explanation:
hope it helps you
If sin theta = -½ and theta lies in Quadrant IV , find the value of all the other five trigonometric functions.
Given that,
θ € 4th quadrant
3π/2 < θ < 2π
Andsin θ = - 1/2
We know,sin²θ + cos²θ = 1
[ -1/2] ² + cos²θ = 1
1/4 + cos²θ = 1
cos²θ = 1 - 1/4
cos²θ = 4 - 1 / 4
cos²θ = 3/4
cos²θ = + √3/2As,
θ € 4th quadrant = cos θ > 0
cosθ = √3/2
tan θ = sin θ / cos θtan θ = 1/2 ÷ √3/2
tan θ = - 1/√3
Now,cosec θ = 1/sin θ = -2
sec θ = 1/cos θ = 2√3
cot θ = 1/tan θ = - √3Please solve with explanation
Answer:
k=0 or 4
Step-by-step explanation:
[tex]y=x^2+(k+4)x+3k+4\\=x^2+(k+4)x+(\frac{x+4}{2})^2 +3k+4-(\frac{x+4}{2})^2\\=(x+\frac{x+4}{2})^2+3k+4-(\frac{x+4}{2})^2\\[/tex]
so the vertex is at
[tex](-\frac{k + 4}{2}, 3k+4-(\frac{x+4}{2})^2)[/tex]
The vertex lies in the x-axis, so
[tex]3k+4-(\frac{k+4}{2})^2 = 0\\4(3k+4)-(k+4)^2=0\\12k+16-k^2-8k-16=0\\-k^2+4k=0\\-k(k-4)=0\\k-0, 4[/tex]
Carlos provides dog-walking services in his neighborhood. For each walk he charges a flat fee of $5 for clean-up and $6 per dog. Write an equation to represent the relationship between the total charge, c, and the number of dogs he walks, d.
6d + 5 = c
hope that helps :)