if the volume of a cone is 12 what is the volume of a cylinder having the same base and height
Answer:Vol of cylinder is area of base (B) times its height(H); while the volume of a cone is area of base (B') times one-third of its height (H').
Step-by-step explanation:
The height of a projectile that is thrown upward from ground level with an initial velocity of 98 meters per second can be modeled by the equation h = −4.9t2 + 98t, where h is the height in meters and t is the elapsed time in seconds. Find the time it takes for the projectile to hit the ground
Answer:
20 seconds
Step-by-step explanation:
The time taken by projectile to hit the ground is 20 second.
What is Quadratic equation?The polynomial equations of degree 2 for a single variable of type f(x) = ax2 + bx + c = 0, where a, b, c, ∈ R, and a ≠ zero, are known as quadratic equations. The leading coefficient is referred to as "a," and the absolute term of the quadratic equation is referred to as "c." The roots of the quadratic equation (α, β). are the values of x that satisfy the equation.
Given initial velocity of a projectile = 98 m/s
equation h = -4.9t² + 98t
where t = time and h = height of projectile,
time taken by projectile to hit the ground,
where h = 0
equation will be
-4.9t² + 98t = 0
4.9t² = 98t
4.9t = 98
t = 98/4.9
t = 20 second
Hence time taken is 20 second.
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Simplify this expression to
have no negative exponents.
Annabelle uses models to compare two decimal numbers. She says 0.24 is greater than 0.4 because 24 > 4.
A square partitioned into one hundred equal parts with twenty four parts shaded. To the right is a square partitioned into ten equal parts with four parts shaded.
Which of these explains Annabelle's mistake?
A. Annabelle incorrectly shaded the models. She should shade six more tenths.
B. Annabelle incorrectly counted the number of shaded parts in the models. She should compare 3 shaded parts to 4 shaded parts.
C. Annabelle incorrectly compared hundredths to tenths. She should compare 24 hundredths to 40 hundredths.
D. Annabelle incorrectly compared tenths. She should compare 4 hundredths to 4 hundredths.
Answer:
C
Step-by-step explanation:
0.24 is the same as 24 hundredths.
0.4 is the same as 4 tenths or 40 hundredths.
The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Find the base and the height of the triangle...
.
Answer:
base(b)=10 and height(h)=6
Step-by-step explanation:
From the question,
base(b)=x feet
height(h)=(x-4) feet
Area(A)=30 square feet
Now,
We know,
Area of triangle(A)=1/2*b*h
or, 30=1/2*x*(x - 4)
or, 30=1/2*x^2 -4x
or, 30*2=x^2 -4x
or, 60=x^2 -4x
or, 0 = x^2 -4x -60
or, 0 = x^2 +6x - 10x -60
or, 0 = x(x + 6) -10(x + 6)
or, 0 = (x+6) (x-10)
Either,
x+6=0. or, x-10=0
or,x= -6. or, x= 10
Since, the base of the triangle can not be negative number then, x≠ -6feet but x=10feet
Lastly,
Height(h)=X - 4
=10 - 4
=6 feet
solve for x
[tex]4x - 16 = 0[/tex]
thankyou ~
4
Step-by-step explanation:
1. Add 16 to both sides
2. Simplify
3. Divide both sides by the same factor
4. Simplify
Solution: x = 4
PLEASE HELP
18c) Find the Area of the Shaded Polygons
Answer:
Area of the shaded polygon= 372
please help me answer this question!!
Answer:
○ [tex]\displaystyle 2\:units[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{24}{6} = \frac{6s^2}{6} \hookrightarrow \sqrt{4} = \sqrt{s^2} \\ \\ 2 = s[/tex]
I am joyous to assist you at any time.
The angle between 0° and 360° and is coterminal with a standard position angle measuring 1186° angle is
Answer:
106
Step-by-step explanation:
4.3, 3.8, 3.3, 4.0, 3.8, 4.3, 4.2, 4.3
Find the median
Answer:
the median i think is th 4.3 that is in the front and the 4.3 in the back because they are look like same numbers to me so thx
Step-by-step explanation:
pls brainly me of my answer
that the median the 2 4.3 ok
Answer:
4.1
Step-by-step explanation:
1) if to sort the given sequence to the largest term, then
3.3; 3.8; 3.8; 4.0; 4.2; 4.3; 4.3; 4.3.
2) the midpoint between 4.0 and 4.2 is 4.1, it means the median is 4.1.
You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 15 children present in your van How many different groups of 6 children can you drive?
However if you are asking how many different combinations, there can be 5005 different combinations.
Answer:
2 different groups of 6 children.
Step-by-step explanation:
There are 15 children you need to bring. You can fit 6 children in each van.
One van : 6 children
Two vans : 12 children
Three vans : 18 children
If you take two vans, that will take 12 children. But you need to fit 15.
If you take three vans, that will take 18 children. This is more than enough.
15 children - 6 = 9 children
Thats one group with 9 children left to take
9 children - 6 = 3 children
Thats two groups with 3 children left to take
3 children - 6 = -3.
This doesn't work. In this case, there will be 3 more empty seats in the last group.
Since the question asks how many groups of 6 children you can drive. It would be two. Becuase there are 2 groups of 6 and one of 3.
What do you recall about decimals
Answer:
a fraction whos denominator is a power of ten and whose numerator is expressed by figures placed to the right of the decimal point and the decimal point is always suppose to be right in the place where the other number is there suppose to line up hope this helps :)
Step-by-step explanation:
Liam spends $4 for 2 pounds of grapes. The grapes sell at a rate of $
per pound.
Answer:
Grapes sell at a rate of $2 per pound
Step-by-step explanation:
Step 1: Determine the price per unit
(Price of Items) / (Total Pounds)
($4) / (2)
$2
Answer: Grapes sell at a rate of $2 per pound
- How many "tenths" make one
Answer:
10 tenths make a one
Step-by-step explanation:
because it works like dimes making a dollar you need 10 of them to make a dollar, and they are in the tenths position.
Answer:
ten tenths
Step-by-step explanation:
10/10 = 1
Hope this helps
Find the equation in slope-intercept form of the line satisfying the conditions. m = 6, passes through (2, -8)
y=6x-20
Solution:First, let's write the equation in point-slope form:y-y1=m(x-x1)y-(-8)=6(x-2)y+8=6(x-2Convert to slope-intercept:y+8=6x-12y=6x-12-8y=6x-20Hope it helps.
Do comment if you have any query.
Answer:
y = m x + b is the standard form for a straight line
you have
y = 6 x + b if m = 6
Now when x = 2, y = -8 this is given
- 8 = 6 * 2 + b substituting given values
b = -8 - 12 = -20
y = 6 x -20 is the equation requested
Check;
-8 = 6 * 2 - 20
12 = 12 so this agrees
The scatterplot below shows a relationship.
Answer:
Linear with a positive correlation
Step-by-step explanation:
This is because the data is linear and upwards sloping from which we can infer is a positive correlation.
Giving out brainliest!!
Step-by-step explanation:
The centroid O cuts every median in the ratio 2:1. The distance between a vertex and the centroid is twice the distance between the centroid and the midpoint of the opposite side.
Therefore: |OB| = 2|OF|
|BF| = |OF| + |OB| = |OF| + 2|OF| = 3|OF|
3x+3=3(2x-8)
3x+3=6x-24
3x=27
x=9
Giving brainliest, thanks, rating answer, and friending on Brianly profile immediately!
Just solve this equation. I already plugged in what I needed.
V=4/3 π9³
Answer:
The answer is 3054.8
Step-by-step explanation:
V = 4/3 × 22/7 × 9 × 9 × 9
V = 4 × 22/7 × 3 × 81
V = 4 × 22 × 243/7
V = 21384/7
V = 3054.8
Thus, The answer is 3054.8
Answer:
3054
Step-by-step explanation:
V=4/3 π9³ = 3054
hope it helps
i need to find the area for this pls help
Answer:
Area = 261
Step-by-step explanation:
(28 x 7) + (10 x 13)/2. Solve 196 + 65 = 261
I need help witha math problem.
Does anyone know how to
Solve the system of equations.
−3x+y=2
7x−8y=1
Factor -2x^3 + 57x^2 - 196x
Answer: -x(x-4)(2x-49)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
Answer:
-x (x-4) (2x-49)
Step-by-step explanation:
take out -x
you then have
2x^2-57x+196
then factor the remaining
multiply number next to x^2 which is a with 196 which is c
(-57 is b)
multiply 2 with 196 which = 392
then find out what 2 factors of 392 add up to -57
they are -8 and -49
2(x-8/2)(x-49/2)=0
2(x-49/2)(x-8/2)=0
(-x)(2x-49)(x-4)=0
Brian purchased 10 shares of an aggressive growth mutual fund at $90 per share, for a total of $900, 7 years ago. Today he sold all 10 shares for $4,500. What was his average annual compound rate of return on this investment before tax?
Answer:
$514 give or take. I could be wrong so you might want some confirmation on my answer before putting it on your test or what ever you need it for because i'm only in Middle School.
Step-by-step explanation:
NEED HELP ASAP
The graph describes the number of students in each classroom during the first block at a high school.
Please no links.
What percentage of the class have at least 21 students first block.
Answer: 70%
Step-by-step explanation:
Not sure if this is correct but according to the red numbers there is a total of 20 classes. Looking at how many of these classes have 21 or more students we can see that the last three bars contain classes of 21 or more students. The last three bars contain a total of 14 of the 20 classes.
14/20 = 0.7 = 70%
meaning 70% of the classes contain at least 21 students.
Which of the following statements are TRUE about the normal distribution? Check all that apply.
a. A z-score is the number of standard deviations a specific data value is from the mean of the distribution.
b. The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean.
c. A data value with z-score = -1.5 is located 1.5 standard deviations below the mean.
d. The mean corresponds to the z-score of 1.
e. The area to the left of a z-score plus the area to the right of that same z-score will always equal 1.
Using the normal distribution, it is found that statements a, b, c and e are correct.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence, only statement D is false, as the mean corresponds to z-score of 0.
More can be learned about the normal distribution at https://brainly.com/question/24663213
help i will give thanks to the first to answer
Answer:
i believe it's 48
Step-by-step explanation:
7x^2 - 3x - 6
7(3)^2 - 3(3) - 6
63 - 9 - 6
54 - 6
48
Write 3 2/7 as an improper fraction
Answer: [tex]\frac{23}{7}[/tex]
Step-by-step explanation:
An improper fraction is a fraction with the wholes / ones in the numerator.
3 [tex]\frac{2}{7}[/tex]
3 * 7 = 21
21 + 2 = 23
[tex]\frac{23}{7}[/tex]
Answer:
23/7
Step-by-step explanation:
You multiply 7 times 3 which equals 21 then add 2 and get 23 you leave yor denominator the same.
So you multiply your denominator by your wole number then add the whole number (21) by your numerator (2) and leave your denominator (7) as it is.
A phone company determined that an increase in income does not indicate a change in a customer's phone usage. What does the analysis show?There is no correlation between income and phone usage.
There is a correlation between income and phone usage. There may or may not be causation. Further studies would have to be done to determine this.
There is a correlation between income and phone usage. There is probably also causation. This is because there is likely an increase in phone usage with an increase in income.
The analysis shows there is a correlation between income and phone usage. There may or may not be causation. Further studies would have to be done to determine this.
What is correlation and causation?Correlation is a statistical measure used to measure the relationship that exists between two variables. It is used to measure the direction of change in one variable when there is a change in another variable.
Causation is when a change in one variable leads to another change in the other variable.
To learn more about negative correlation, please check: https://brainly.com/question/27246345
The probability that a meal at a restaurant is overcooked is 10%. Estimate the probability that exactly 1 of the next 2 meals is overcooked.
Answer:
The probability that exactly 1 of the next 2 meals is overcooked = 3.34%
Step-by-step explanation:
The probability that a meal at a restaurant is overcooked is 10%
The probability that exactly 1 of the next 2 meals is overcooked = out of 3 meals 1 meal is overcooked of 10%
= 1 × 3 × 10%
= 10 × 3 %
= 3.34 %
Answer: 18.1%
Step-by-step explanation:
[tex]P($ overcooked $)=1 / 10$ \\$P($ exactly one overcooked of next two)\\\begin{$aligned}&\Rightarrow O N+N O \quad\left[\begin{array}{l}O \rightarrow \text { Overcooked } \\N \rightarrow \text { Not Overcooked}\end{array}\right. \\&\Rightarrow P(O) \cdot P(N)+P(N) P(O)\end{aligned}$$[/tex]
[tex]$$P(N)=1 - 1/10 = 9 / 10$$$P(exactly 1 overcooked)$$\begin{aligned}&=\frac{1}{10} \cdot \frac{9}{10}+\frac{1}{10} \cdot \frac{9}{10} \\&=\frac{18}{100} \\ &=\frac{9}{50} \text { }\text { or } 18.1\%\end{aligned}$$[/tex]
Solve the equation 25z2 − 140 = 29 by using square roots.
A. z = ±13/5
B. z = ±7/5
C. z = ±29/7
D. no real solutions
Answer:
Option A, [tex]z =[/tex] ± [tex]13/5[/tex]
Step-by-step explanation:
Step 1: Add 140 both sides
[tex]25z^2 - 140 = 29[/tex]
[tex]25z^2 - 140 + 140 = 29 + 140[/tex]
[tex]25z^2 = 169[/tex]
Step 2: Divide both sides by 25
[tex]\frac{25z^2}{25} = \frac{169}{25}[/tex]
[tex]z^2 = 6.76[/tex]
Step 3: Square root both sides
[tex]\sqrt{z^2} = \sqrt{6.76}[/tex]
[tex]z =[/tex] ± [tex]2.6[/tex]
[tex]z =[/tex] ± [tex]13/5[/tex]
Answer: Option A, [tex]z =[/tex] ± [tex]13/5[/tex]