The cone in the diagram has the same height and base area as the prism. What is the ratio of the volume of the cone to the volume of the prism?
Answers
For your figures: 1/3.
Answer:
B. 1/3
I had this question on Plato this is the answer.
Related Questions
Abigails mom said she will be home from work in 65 minutes its 4:27 pm and abigail has dance practice at 6:00 pm. How much time will abigail have between the time that her mom gets home from work and the beginning of dance practice
Answers
The time that her mom gets home from work and the beginning of dance practice is 28 minutes.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, It is 4:27 pm and Abigail's mom said she will be home from work in 65 minutes.
Now 60 minutes from 4:27 pm is 5:27 pm and 5 minutes more is 5:32 pm.
Abigail has dance practice at 6:00 pm, So the time that her mom gets home from work and the beginning of dance practice is 28 minutes seems obvious.
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8.73e16 in simple form
Answers
= 8.73 x 10^16 ..............................scientific form
= 87,300,000,000,000,000 ...........standard form
Solution:
we have been asked to write [tex]8.73e^{16}[/tex] in the simplest form.
This can be alternatively written as [tex]8.73*10^{16}[/tex]
And as we know that a number written in scientific notation can be re-written in the simple form by removing the "10 to the power" term by expanding the given number as below
[tex]8.73*10^{16}=8.73*1000,000,000,000,0000[/tex]
It can be further written by removing the decimal as below
[tex]8.73*10^{16}=87,300,000,000,000,000[/tex]
Hence the required simple form is 87,300,000,000,000,000
Mr. Lin baked banana bread for a bake sale to raise money for the math team. He said that he added a spoonful of walnuts for each of the students in his three classes, and that he added more than 250 walnuts. He used the inequality
16w + 24w + 10w > 250 to represent this situation, where w represents the number of walnuts in each spoonful. How many walnuts can be in a spoonful?
Answers
the hardware store sells sparklers for the 4th of july. they charge 19 cents apiece. the firework stand charges 85 cents for four. which is the better deal? how can you tell
Answers
!100! POINTS PLEASE HELP ME BRAINLIEST!!!!!!!!!!!!
Answers
-------------
12x + 4y = 152
32x + 12y =420
-----------------------
First solve 12x + 4y = 152 for x
Add -4y to each side
12x+4y+-4y=152+-4y
12x=-4y+152
----------------------------
Divide each side by 12
12x ÷ 12 = [tex] \frac{-4y+152}{12} [/tex]
x = -1/3y + 38/3
============================================================
Substitute -1/3y + 38/3 for x in 32x+12y=420
32(-1/3y + 38/3)+12y=420
-------------
Simplify each side
4/3y + 1216/3 = 420
-------------------
Add -1216/3 on each side
4/3y + 1216/3 + -1216/3 = 420 + -1216/3
4/3y = 44/3
-------------------------
Divide each side by 4/3
4/3y ÷ 4/3 = 44/3 ÷ 4/3
y = 11
y = 11 is your answer
Answer:
y = 11 is your answer
You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?
Answers
Answer:
You would pay $7.97 for your bagels!
If sec(x)=13/12 what is cos(x)?
Answers
The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $3, sales will reach 6000 Fun Noodles per day during the summer. Raising the price to $4 will cause the sales to fall to 5000 Fun Noodles per day.
a. Assume the the relationship between sales price, x, and number of Fun Noodles sold, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pars of the form (sales price, number sold).
The equation is?
b. Predict the daily sales of Fun Noodles if the price is $3.50.
? sales
? sales
Answers
The generic equation of the line is:
y-yo = m (x-xo)
First we look for the slope of the line:
m = (y2-y1) / (x2-x1)
m = ((5000) - (6000)) / (4-3)
m = -1000
Then, we substitute any point in the generic equation:
(xo, yo) = (4, 5000)
Substituting:
y-5000 = (- 1000) (x-4)
Rewriting:
y = -1000x + 4000 + 5000
y = -1000x + 9000
The equation is:
y = -1000x + 9000
PART B:
For the price of 3.50 we have:
y = -1000 * (3.5) +9000
y = 5500
(a) The equation in slope-intercept form for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].
(b) The daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].
(a) The general slope-intercept form of writing the equation of a line is [tex]y-y_1=m(x-x_1)[/tex] where, [tex]m[/tex] is the slope of the line.
According to the question,
[tex](x_1,y_1)\rightarrow (3,6000)[/tex] and [tex](x_2,y_2)\rightarrow (4,5000)[/tex]
Evaluate the value of the slope as-
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{5000-6000}{4-3}\\m=-1000[/tex]
Now, substitute the parameters in the equation [tex]y-y_1=m(x-x_1)[/tex]-
[tex]y-y_1=m(x-x_1)\\y-6000=-1000(x-3)\\y-6000=-1000x+3000\\y=-1000x+9000[/tex]
Hence, the equation in slope-intercept form for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].
(b) Substitute [tex]x=\$3.50[/tex] in the slope-intercept equation [tex]y=-1000x+9000[/tex] to evaluate the daily sales of fun noodles as-
[tex]y=-1000x+9000\\y=-1000(3.50)+9000\\y=-3500+9000\\y=5500[/tex]
Hence, the daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].
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Heights of adult women in the united states are normally distributed with a population mean of μ = 63.5 inches and a population standard deviation of σ = 2.5. a medical researcher is planning to select a large random sample of adult women to participate in a future study. what is the standard value, or z-value, for an adult woman who has a height of 50.4 inches? (calculate to 1 decimal)
Answers
For an adult woman with a height of 50.4 inches in the United States, the standard value (z-value) is approximately -5.2, calculated based on a normal distribution with a mean of 63.5 inches and a standard deviation of 2.5 inches.
To find the standard value or z-value for a given height in a normal distribution, you can use the formula:
[tex]\[ Z = \frac{{X - \mu}}{{\sigma}} \][/tex]
where:
- Z is the z-value,
- X is the individual data point (height in this case),
- [tex]\( \mu \)[/tex] is the population mean,
- [tex]\( \sigma \)[/tex] is the population standard deviation.
For the given problem:
- [tex]\( \mu = 63.5 \)[/tex] inches,
- [tex]\( \sigma = 2.5 \)[/tex] inches,
- X = 50.4 inches.
[tex]\[ Z = \frac{{50.4 - 63.5}}{{2.5}} \]\[ Z \approx -5.24 \][/tex]
Rounded to one decimal place, the z-value for an adult woman with a height of 50.4 inches is approximately -5.2.
Choose the correct simplification of (8x4y3)2. (5 points)
Answers
(8x^4y^3)^2 the answer should be
64x^8y^6
Answer:
the person below is correct 64x8y6 is the right answer
Step-by-step explanation:
Tom spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his credit card bill. If $1320 was left, what was his monthly salary?
Answers
x -1/3x - 1/7x = 1320
11/21x =1320
x = 1320 divides by 11/21
x = $ 2520
his monthly salary was $ 2520
The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the perimeter to the nearest tenth of a foot and the area to the nearest square foot.
Answers
The perimeter and area of the fountain comprising two semicircles and a quarter circle can be calculated using principles of circle geometry, adding respective perimeter parts for the total perimeter and summing up the areas of each part for the total area. The perimeter calculation includes the semicircles' straight edges, while the area computation combines semicircle and quarter circle areas.
Explanation:To calculate the perimeter and area of a fountain composed of two semicircles and a quarter circle, we first need to acknowledge that all parts of this shape are derived from circles. Therefore, understanding the properties of a circle is crucial. The formula for the perimeter (circumference) of a whole circle is 2πr, and the formula for the area is πr², where r is the radius of the circle.
To find the perimeter of the given shape, add the perimeters of the two semicircles and a quarter circle. Since the perimeter of a semicircle is πr and there are two, their combined perimeter is 2πr. The perimeter of a quarter circle is πr/2. Therefore, the total perimeter of the shape would be 2πr + πr/2. The straight edges that close the semicircles also contribute to the perimeter, which are diameters of the circles (ϐ2r for each semicircle), resulting in an additional 2r + 2r = 4r to the total perimeter.
For the area, sum the areas of two semicircles and a quarter circle. The area of a semicircle is πr²/2, so together, two semicircles have an area of πr². The area of a quarter circle is πr²/4. Thus, the total area of the shape is πr² + πr²/4 = 5πr²/4.
To find the exact values, you would substitute the specific radius (r) of the circles that constitute the fountain, and calculate using π ≈ 3.14. Make sure to round the perimeter to the nearest tenth of a foot and the area to the nearest square foot as instructed.
can u show me common core way this problem how to do 5/9 ×3 1/2
Answers
3x2= 6 6+1=7, then put 7 over your denominator which would be 7/2.
2.) multiply 5/9 times 7/2
5 times 7 is 35
9 times 2 is 18
your answer is 35/18
3.) make it a proper fraction
18 times 2 is 36 so that would't work to have two!
so you only can put 18 into 32 once so subtract 32-18 so you know what is left over after you take a whole out. 32-18=14. 14 is now the numerator and so put your whole number first then put your numerator over your denominator: 1 14/18
4.) simplify
1 14/18= 1 7/9, I divided 14 and 18 by 2 to simplify
The answer is 1 7/9
[tex]\bf \stackrel{mixed}{3\frac{1}{2}}\implies\cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}\\\\ -------------------------------\\\\ \cfrac{5}{9}\times 3\frac{1}{2}\implies \cfrac{5}{9}\times\cfrac{7}{2}\implies \cfrac{5\times 7}{9\times 2}\implies \cfrac{35}{18}\implies 1\frac{17}{18} \\\\\\ \textit{keep in mind that }1\frac{17}{18}\implies \cfrac{1\cdot 18+17}{18}\implies \cfrac{35}{18}[/tex]
Let $\mu$ and $\sigma^2$ denote the mean and variance of the random variable x. determine $e[(x-\mu)/\sigma]$ and $e{[((x-\mu)/\sigma)^2]}$
Answers
[tex]\mathbb E\bigg(\left(\dfrac{X-\mu}\sigma\right)^2\bigg)=\dfrac1{\sigma^2}\mathbb E\left(X^2-2\mu X+\mu^2\right)=\dfrac{\mathbb E(X^2)-2\mu\mathbb E(X)+\mu^2}{\sigma^2}[/tex]
[tex]=\dfrac{\mathbb E(X^2)-2\mu^2+\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mathbb E(X)^2}{\sigma^2}[/tex]
[tex]=\dfrac{\mathbb V(X)}{\sigma^2}=\dfrac{\sigma^2}{\sigma^2}=1[/tex]
The expectation of (x-µ)/ equals 0, as it's the standardized form of variable X having a mean of 0. The expectation of {[((x-µ)/)]^2} equals 1, as it's the variance of the standardized variable which is always 1.
Explanation:The question pertains to the concepts of expected values, mean and variance in probability and statistics. When we have a random variable X with mean µ and variance ^2, we can determine the expected value of a transformed variable (x-µ)/ and its square (x-µ)/^2.
The expectation of (x-µ)/ is actually 0. This is because when you subtract the mean (µ) from the random variable and divide by the standard deviation (), you are standardizing the variable to have a mean of 0.
For the expectation of {[((x-µ)/)]^2}, we actually get 1. This is because the square of a standardized random variable, like (x-µ)/, is the variance of the standardized variable, which is always 1.
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Melissa estimated that she would read 250 Pages last week. she read 290 pages. What is the percent error of Melissa's estimate round to the nearest whole percent
Answers
Actual = 290
Error = 290 - 250 = 40
Percentage error = 40/250 x 100 = 16%
Answer:13.79
Step-by-step explanation: I put that answer and gt it wrong an dthe thing told me the answear was 13.79
Which of the following are the correct properties of slope A.If two lines have the same slope, then they are the same line. B.The slope of a line that moves up from left to right is positive. C.A steep line has negative slope. D.Some lines have an undefined slope. E.The slope of a line is always positive.
Answers
Answer:
B.The slope of a line that moves up from left to right is positive.
Step-by-step explanation:
Slope is the ratio of vertical change to horizontal change. If a line moves up as x-values increase, then the signs of both changes are positive, and the slope is positive. This observation matches selection B.
_____
Comments on other choices
If a line is vertical, it will exhibit a vertical change with no horizontal change. The denominator of the ratio for slope will be zero. Division by zero is undefined, so we say the slope of a vertical line is "undefined."
Lines with the same slope will be parallel, if they're not the same line.
A line that moves down to the right has a negative change in its vertical coordinate for a positive change in its horizontal coordinate. The ratio of changes will have a negative sign. So, the slope of a line that moves down to the right is negative, not positive.
expand the equation 1/3(2/5-2/3w)
Answers
= 1/3 * 2/5 - 1/3 *2/3w
= 2/15 - 2/9w
Given this arithmetic sequence, find d. 3,_,_,15
Answers
The answer is d=4
You process paychecks for your company. Paydays are 2 weeks apart, on Fridays. The first payday in one month is on the 12th. The next payday is on the:
Answers
Answer:
The next payday is on the: 26th of that month.
Step-by-step explanation:
You process paychecks for your company.
Paydays are 2 weeks apart, on Fridays.
2 weeks apart means 14 days apart.
The first payday in one month is on the 12th.
Therefore, The next payday is on the: [tex]12+14=26[/tex]
26th of that month.
Convert a length of 25.0 m to inches.
express your answer numerically in inches.
Answers
Answer:
98.4 inches
Step-by-step explanation:
You want the length 25.0 meters expressed in inches.
ConversionThere are 0.254 m in an inch, so the distance d can be found from the proportion ...
d/(25 m) = (1 in)/(0.254 m)
Multiplying by 25 m, we find ...
d = 25/0.254 in ≈ 98.4252 in
The length is about 98.4 inches.
__
Additional comment
The value to convert is given to 3 significant figures. The conversion factor is exact. The answer is appropriately expressed using 3 significant figures.
Which expression is equivalent to 2.25 + 2.25x + 1 - 0.75x + 2x
Answers
A square rug lies in the middle of a rectangular room. There are 7 feet of uncovered floor on 2 sides of the rug and 2 feet of uncovered floor on the other 2 sides. Find a polynomial expression for the area of the room in terms of x, the side length of the rug.
Answers
A=(x+10)(x+12)
A=x²+22x+120
Polynomial expression of area of room in terms of x is A = x² + 9x + 14.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Area of rectangle(room) = Length × width
So,
A = (x + 7)(x + 2)
A = x² + 20x + 7x + 14
A = x² + 9x + 14
Hence "Polynomial expression of area of room in terms of x is A = x² + 9x + 14".
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This table shows the weekly rainfall, in inches, for two cities for ten weeks. City A 0.2 0 1.5 1.3 2.5 3 0.4 0.3 0.2 1 City B 0 0 0.4 0.2 0.3 1 1 1 0.1 0.1 Which conclusion can be drawn from the data?
WILL GIVE BRAINLISET
Answers
A. During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
this is correct. rainfall of 1 inch was recorded on three days so it was the most often recorded rainfall.
B. The range between the maximum and minimum values for City B is greater than the range between the maximum and minimum values for City A.
range for city A - 3 - 0 = 3
range for city B - 1- 0 = 1
this statement is incorrect as the range for city B is lesser than the range for city A.
C. For the ten weeks, City A received less rainfall, on average, than City B
the average rainfalls for;
City A - 1.04
city B - 0.41
city A received more rainfall on average than city B on average therefore this statement is incorrect.
D. The median for City A is less than the median for City B.
city A - 0.7
city B - 0.25
median for city A is greater than median for city B therefore this statement is incorrect.
Therefore the conclusion that can be drawn from the data is During the 10 wk period, the rainfall amount recorded most often for City B was 1 in. - Statement A
Answer:
During the 10 wk period, the rainfall amount recorded most often for City B was 1 in
Step-by-step explanation:
what is the solution of the equation 1.6m - 4.8 = -1.6m
Answers
1.6 m - 4.8 = -1.6 m
Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m
1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0
1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0
Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8
4.8 - 4.8 = 0:
3.2 m = 4.8
Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2
3.2/3.2 = 1:
m = 4.8/3.2
4.8/3.2 ≈ 1.5:
Answer: m ≈ 1.5
Answer:
m=1.5
Step-by-step explanation:
I took the test.
How far does a horse on a Merry-go-round travel in one revolution if he is 6.5 feet from the center? (Use 3 for π)
A) 13 feet
B) 26 feet
C) 39 feet
D) 52 feet
Answers
2 · 3 · 6.5 =39
So it is C) 39 Feet
Answer:
41 FEET
Step-by-step explanation:
I JUST DID USATESTPREP
How are exponential functions related to logarithmic functions?
Model that with an example.
Answers
If we use the natural logarithm (ln) as an example, the constant "e" is the base of ln, such that:
ln(x) = y, which is really stating that the base (assumed "e" even though not shown), that:
[tex] {e}^{y} = x[/tex]
if we try to solve for y in this form it's nearly impossible, that's why we stick with ln(x) = y
but to find the inverse of the form:
[tex]{e}^{y} = x[/tex]
switch the x and y, then solve for y:
[tex] {e}^{x} = y[/tex]
So the exponential function is the inverse of the logarithmic one, f(x) = ln x
Exponential and logarithmic functions are related in that they are inverses of each other.
Logarithmic functions and exponential functions are inverses of each other.
For instance, let [tex]log a = b[/tex]
In order to eliminate the logarithmic function, we will apply an exponential function ([tex]e[/tex])to both sides.
[tex]e^{loga} = e^b[/tex]
The exponential function will cancel out the logarithmic function since they are inverses of each other to give:
[tex]a = e^b[/tex]
This example shows the inverse relationship that exists between the logarithmic and exponential functions.
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is the sample valid? what percent of students prefer caramel popcorn?
Answers
First you must see if the number of students in the table corresponds to the number of students surveyed that was 75.
We have then:
33 + 15 + 27 = 75
We have then that:
The sample is valid.
what percent of students prefer caramel popcorn?
We can make the following rule of three to answer this question:
75 ---> 100%
27 ---> x
Clearing x we have:
x = (27/75) * (100)
x = 36%
36% percent of students prefer caramel popcorn
In the diagram below QRS=NMP what is length in inches of MP
Answers
Two buses leave the station traveling in opposite directions one going east and one going west the eastbound bus travels at 40 mph and the west bound bus travels at 65 mph if both buses leave the station at 10 AM at what time will they be 1260 miles apart
Answers
Answer:
10 PM
Step-by-step explanation:
The combined speed of the two buses is ...
40 mph + 65 mph = 105 mi/h
The relationship between distance, speed, and time can be written ...
time = distance/speed
so the elapsed time until the buses cover the distance is ...
time = (1260 mi)/(105 mi/h) = 12 h
___
12 hours after 10 AM is 10 PM.
The buses will be 1260 miles apart at 10 PM.
A class of 32 students shares a class set of 78 colored pencils. On a day with six students absent, which statement is true? A. For each student, there are 4 colored pencils. B. For each student, there are 3 colored pencils. C. For every 3 students, there is 1 colored pencil. D. For every 4 students, there is 1 colored pencil. I need help solving the problem
Answers
Selection B is appropriate.