Answer:
Step-by-step explanation:
V = 4πR³/3 + πR²h
h = (V - 4πR³/3) / πR²
A = 4πR² + 2πRh
A = 4πR² + 2πR((V - 4πR³/3) / πR²)
A = 4πR² + 2((V - 4πR³/3) / R)
A = 4πR² + 2V/ R - (8πR³/3) / R
A = 4πR² + 2(14)/ R - 8πR²/3
A = (4π - 8π/3)R² + 28/R
A = (4π/3)R² + 28/R
dA/dR = (8π/3)R - 28/R²
0 = (8π/3)R - 28/R²
28/R² = (8π/3)R
R³ = 28(3 / 8π)
R = 1.49513...
R = 1.50 cm
which makes the cylinder height 0.00 cm. The figure is a sphere.
Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than the other. If they meet in 2 hours, what is the rate of each train?
Answer:
112 km/h
125 km/hr
Step-by-step explanation:
Distance = time * speed
Distance = distance train 1 + distance train 2
474 = 2(s) + 2(s + 13)
Distribute
474 = 2s + 2s + 26
Combine like terms
474 = 4s + 26
Subtract 26 from both sides
448 = 4s
Divide both sides by 4
112 = s
s = 112 km/h
s + 13 = 125 km/hr
If you paid $160 in interest to a loan company for the use of $10000 of or 30 days, what annual simple interest rate did they charge?
Answer:A loan company charges $30 interest for a one month loan of $500. Find the annual interest rate they are charging.
Step-by-step explanation:You will earn $160 interest total over the four years. Try it Now 1. A loan company charges $30 interest for a one month loan of $500. Find the annual interest ...
If here are approximately 15000 red cabs in Hong Kong. This represents approximately 80% of the total taxis. Find the total number of taxis in Hong Kong.
Answer: 18,750
Step-by-step explanation: First you divide 80 by 100, getting .80. Then you divide 15,000 by .8, getting 18,750 cars.
no link fast but righ and if you get the answer right can you help me with other question
Answer:
12 inches
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
113.04 = 1/3*3.14 ( 3)^2 h
113.04 = 9.42 h
Divide each side by 9.42
113.04/9.42 = h
12 = h
12 inches
Answer:
Height = 12 in
Step-by-step explanation:
Volume Cone = 1/3(πr²h)
113.04 = 1/3(3.14)(3²)(h) [tex]\longmapsto[/tex] Note that the 1/3 and 9 simplify
113.04 = 3.14(h)(3)
37.68 = 3.14(h)
h = 12
-Chetan K
Which graph represents 6x-2y>-11
Answer:
Answer:
C
Step-by-step explanation:
Remember when using the inequality sign < or > the line will be dotted so we can immediately eliminate answer choices b and d
Now let us solve for y
6x-2y>-11
step 1 subtract each side by 6x
now we have
-2y>-11-6x
step 2 divide each side by -2
-11-/2=11/2
-6/-2=3
IMPORTANT -when you divide inequalities by a negative number you flip the inequality sign
So now we have
See image below for reference
When the inequality is facing x the solutions are going to be on top of the line
hope this helps!
Step-by-step explanation:
A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.
Let T=T=T, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other.
Find the probability that the total amount of product is less than 575\,\text{g}575g575, start text, g, end text.
You may round your answer to two decimal places.
P(T<575)\approx
Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.
In 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.When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.In this problem, the product is composed by flakes and raisins, and we have that:
[tex]\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7[/tex]
Hence, the distribution for the total amount of product has mean and standard deviation given by:
[tex]\mu = \mu_F + \mu_R = 370 + 170 = 540[/tex]
[tex]\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25[/tex]
The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{575 - 540}{25}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192.
0.9192 = 91.92% probability that the total amount of product is less than 575 g.
A similar problem is given at https://brainly.com/question/22934264
Match the event with the most appropriate probability word: The roll of a normal fair dice will show a 7.
A. Certainly
B. Likely
C. Evens
D. Unlikely
E. Impossible
F. Other
Answer this, plz.
Answer:
Option 3
Evens
. . . . . .. . ..
2x+5y=(-24),3x+y=(-10) solve for using elimination method
Answer:
x equals -2 and y equals−4
Solve the compound inequality.
3x + 1 <4 or 9x > 31
Answer:
Step-by-step explanation:
3x < 4 - 1 or x > 31/9
3x < 3 or x > 31/9
x < 1 or x > 31/9
if a2-b2=c2. find c if a=5 and b=3
Answer:
c=2
Step-by-step explanation:
translation:
5x2-3x2=c2
10-6=4
4=c2
4/2=c2/2=c=2
When a = 5 and b = 3, the value of c is 4, based on the equation [tex]a^2 - b^2 = c^2[/tex].
Given the equation [tex]a^2 - b^2 = c^2[/tex] and the values a = 5 and b = 3, we can substitute these values into the equation and solve for c.
Substituting a = 5 and b = 3:
[tex](5)^2 - (3)^2 = c^2\\\\25 - 9 = c^2\\\\16 = c^2[/tex]
Taking the square root of both sides:
c = √16
c = 4
Therefore, when a = 5 and b = 3, the value of c is 4.
To know more about equation, refer here:
https://brainly.com/question/30642505
#SPJ2
Complete Question:
If [tex]a^2 - b^2 = c^2[/tex]. find c if a=5 and b=3.
How do I do this question!
Answer:2 x 3
Step-by-step explanation:
Answer: [tex]\frac{7}{10}[/tex]
Step-by-step explanation:
2[tex]\frac{1}{10}[/tex] barrels of almonds to make 3 batches of granola bar.
We need to turn fraction 2[tex]\frac{1}{10}[/tex] into a mixed number
2[tex]\frac{1}{10}[/tex] → [tex]\frac{21}{10}[/tex]
Now we set up an equation.
[tex]\frac{\frac{21}{10} }{3} =\frac{x}{1}[/tex]
Solve for x by cross multiplying and dividing.
[tex]\frac{21}{10}[/tex] ÷ 3 (KCF)
[tex]\frac{21}{10}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{30}[/tex]
Now we simplify the fraction.
[tex]\frac{21}{30}[/tex] → [tex]\frac{7}{10}[/tex]
[tex]\frac{7}{10}[/tex] barrels of almonds were used in each batch.
the odds against your bet are to 3. if you bet $27 and win. how much you win
I need help please I don't understand this
Answer:
So
12 would round to 12
0.49 would round to 0
or could possibly round to 0.50
Step-by-step explanation:
So, 12 x 0.49
would be about
12-13
#Nova
Have a good day
The chart shows how many people have signed up to go on a field trip each day. 62 students are allowed to go on the field trip. On which day would you expect that number to be reached?A) 8B) 9C) 10D) 11
Answer:
C
I hope it helps.
Determine whether a quadratic model exists for the set of values below. If so, write the model. f(0) = -4, f(3) = -19, f(-1) = -11
Select the correct choice below:
A) A quadratic model does exist. It is f(x)= ?
B) A quadratic model does not exist.
Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
if u help me ill give u brainliest
Answer:
150000000
Step-by-step explanation:
30x5000000=150000000
Valentine's Day is coming up, so Sweet Dreams chocolate shop is ordering ribbon to decorate gift boxes. Small gift boxes use 20 inches of ribbon, while large ones use 30 inches. Sweet Dreams expects to sell 225 small boxes and 180 large boxes. If the ribbon they use is sold by the yard, how many yards of ribbon should they order?
Answer:
i think 9900
Step-by-step explanation:
225x20 = 4500
180x30 = 5400
5400+4500 = 9900
does the graph represent a function?
Answer:
No
Step-by-step explanation:
fails the vertical line test, a test to see if a vertical line can touch 2 points on a graph at the same time.
draw a diagram for this fraction
7/2
Answer:
You can't draw a diagram for a improper
fraction
solve the following stystem -4x + 2y = 0 and x + y = -1
Jason gets 15 gallons of gas for $3.90 a gallon which gives him 20 miles to the gallon. How many miles can Jason travel on one tank of Jason?
Answer:
0.75 mi.
Step-by-step explanation:
15/20=3.90/x
(a) Write an equation of the line that passes through the point and is parallel to the given line.
(b) Write an equation of the line that passes through the point and is perpendicular to the given line.
9514 1404 393
Answer:
parallel: y = x -1perpendicular: y = -x -3Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
__
The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line
9514 1404 393
Answer:
parallel: y = x -1
perpendicular: y = -x -3
Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
__
The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line
8y + 15x + 3y - 12x - 3x
Answer:
11y is the exact value.
Step-by-step explanation:
if a chocolate cake is divided into six equal slices and each slice has 280 calories
Answer:
Whats the question?
Step-by-step explanation:
Answer:
1,680
Step-by-step explanation
6 slices each 280 calories, 280 x 6 = 1,680
Last year at a certain high school, there were 100 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll decreased by 11% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
-11 boys -6 girls
Step-by-step explanation:
Show this situation on a vertical number line
what is the situation to your question
Answer:
What is the situation?
Step-by-step explanation:
Question 2 Fill-In-The-Blank Worth 3 points)
(04.04)
Point R is at (4.1.5) and Point T is at (429) on a coordinate grid. The distance between the two points is_(Input numbers and decimal point only, such as 82)
Answer for Blank 1
Answer:
1.4
Step-by-step explanation:
in the graph, the points are 14 points apart, when the step of the graph is set to .1, if you count, they're .14 point apart, or 1.4
Number 14 pls help I am stuck
Answer:
72 hectares
Step-by-step explanation:
The dimensions of the rectangle on the ground will be 20,000 times the dimensions shown in the drawing:
20,000×3 cm = 60,000 cm = 600 m
20,000×6 cm = 120,000 cm = 1200 m
The area of the land is ...
A = LW = (1200 m)(600 m) = 720,000 m²
1 hectare is 10,000 m², so this is ...
720,000 m² × (1 ha)/(10,000 m²) = 72 ha
The area of the plot is 72 hectares.
An interior designer hangs canvas paintings along a hallway. If the interior designer uses canvas paintings with length measuring
9
inches and places them side by side along the hallway that has a length of
24
feet, how many paintings does the designer hang?
The number of paintings the designer can hang is 32.
In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.
Number of paintings = length of hallway / length of paintings
The unit of measurement of the hallway and the paintings have to be the same length,
1 foot = 12 inches
24 feet x 12 = 288 inches
Number of paintings = 288 / 9 = 32 paintings
To learn more about division, please check: https://brainly.com/question/194007
Evaluate the expression.
−12 ⋅ 1/3
Group of answer choices
4
-4
36
-36
Answer:
Option B. -4
Step-by-step explanation:
-12 x (1/3)
=> -12 ÷ 3
=> -4
Therefore, -4 is our answer.
Hoped this helped.
