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A cone and sphere have the same volume. The height of the cone is 96 units. What could the values of the radius of the cone and sphere? Round answers to nearest hundredth.
Answer:
r=24
Step-by-step explanation:
[tex]\pi r^2\frac{96}{3} = \frac{4}{3} \pi r^3\\r = 24[/tex]
The values of the radius of the cone and sphere is 24 units.
What is the volume of a cone?The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.
Given that, the height of the cone is 96 units.
A cone and sphere have the same volume.
Volume of a sphere = Volume of a cone
4/3 πr³=1/3 πr²h
4r³=r²h
4r=96
r=24 units
Therefore, the radius is 24 units.
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A small box measures 4 in.by 3in. by 3/4 in. high. Find the volume of the box
Answer:
V=e^3
Step-by-step explanation:
What is the solution set for
2|x -3| = 12?
A) No solution
B) {-9,9}
C) (-3,9)
D) {-9,3)
Answer: C. (-3, 9)
Step-by-step explanation:
Given
2|x-3|=12
Divide both sides by 2
2|x-3|/2=12/2
|x-3|=6
Take of absolute value sign (REMEMBER need to take into consideration of two conditions)
x-3=±6
1)x-3=6
x=9
2)x-3=-6
x=-3
**NOTE**: need to check each solution whether or not they are suitable
Hope this helps!! :)
Please let me know if you have any questions
What does a quadratic equation look like?
Answer:
[tex]a{x}^{2} + bx + c = 0[/tex]
Step-by-step explanation:
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.
Examples of quadratic equations include all of these:[tex]y = {x}^{2} + 3x + 1[/tex]
Hope it is helpful......Parallel slope of line x-7y=7
Answer:
The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!
Step-by-step explanation:
x - 7y = 7
-7y = -x + 7
7y = x - 7
y = x/7 - 1
3. The table shows five states and the lowest point in each state.
lowest elevation (feet)
state
California
-282
Colorado
3350
Louisiana
-8
New Mexico
2842
Wyoming
3099
Put the states in order by their lowest elevation, from least to greatest
Answer:
California, Louisiana, New Mexico, Wyoming, Colorado
Step-by-step explanation:
Simple order sense
The order of states from least to greatest elevation is:
California, Louisiana, New Mexico, Wyoming, and Colorado.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Arranging the states in order from lowest to highest elevation:
State Lowest Elevation (ft)
California -282
Louisiana -8
New Mexico 2842
Wyoming 3099
Colorado 3350
Therefore,
The order of states from least to greatest elevation is:
California, Louisiana, New Mexico, Wyoming, and Colorado.
Learn more about expressions here:
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6x + 3 = 9x - 12 solve for x
Answer:
x = 5
Step-by-step explanation:
6x + 3 = 9x - 12
+12 +12
6x + 15 = 9x
-6x -6x
15 = 3x
/3 /3
x = 5
To check work:
6(5) + 3 = 9(5) - 12
30 + 3 = 45 - 12
33 = 33
B. Evaluate
a) [ (-48) ÷ 12 ] ÷ 4
b) [ (-16) +6 ] ÷ [(-2) +1 ]
c) 0 ÷ (-15)
Answer:
A. -1
B.10
C.0
Step-by-step explanation:
Use calculator*
PLEASEEEEE HELPPPPPPPP
Answer:
2 and 4 has no soulotions, and C has one
Step-by-step explanation:
Show that area under multivariate normal distribution over the whole range in unity. Find characteristics function of multivariate normal distribution and mean and variance of multivariate normal distribution. Differentiate between univariate and multivariate normal distribution and their practical applications. Also explain characteristic function, its application and differentiate between mean and variance of univariate and multivariate normal distribution with help of some practical examples
Answer:
here is the answer
Step-by-step explanation:
you may please search it
An expression is shown below:
3x3y + 12xy − 9x2y − 36y
First Rewrite the expression so that the GCF is factored completely. Show the steps of your work.
Then Rewrite the expression completely factored. Show the steps of your work.
Answer:
Part A: so the GCF is 3y,
We need to rewrite the equation such as:
-36 as -12 · 3, -9 as -3 · 3, 12 as 4 · 3
It will look like this:
3x^3 y +4 · 3xy + 3 · 3x^2 y + 4 · 3 · 3y
We then need to factor out 3y:
3y(x^3 + 4x - 3x^2 - 12)
Part b: factor out completely
3y(x^3 + 4x - 3x^2 - 12)
So, we need to do the following:
3y{x^2(x-3) + 4 (x-3)}
we then get the final factor: 3y(x - 3) (x^2 + 4)
Step-by-step explanation:
The factored expression is:
[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]
------------------------
To factor the expression:
First, we need to find the greatest common factor of the numeric and symbolic coefficients.Then, we divide each term of the expression by it's gcf.------------------------
The expression is:
[tex]3x^3y + 12xy - 9x^2y - 36y[/tex]
------------------------
The numeric coefficients are: 3, 12, 9, 36
The gcf of the numeric coefficients is:
3 - 12 - 9 - 36|3
1 - 4 - 3 - 12
The gcf of the numeric coefficients is 3, as 3 is the only number by which 3, 12, 9 and 36 are all divisible.
------------------------
The symbolic coefficients are: [tex]x^3y, xy, x^2y, y[/tex]
The only common term is y, so y is the gcf of the symbolic coefficients.
------------------------
The gcf of the entire expression is the multiplication of the gcfs of the numeric and of the symbolic coefficients, so it is 3y.
Now, to factore the expression:
[tex]3x^3y + 12xy - 9x^2y - 36y = 3y(\frac{3x^3y}{3y} + \frac{12xy}{3y} - \frac{9x^2y}{3y} - \frac{36y}{3y}) = 3y(x^3 + 4x - 3x^2 - 12)[/tex]
The factored expression is:
[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]
A similar problem is given at https://brainly.com/question/20691631
The sum of the interior angle measures of a convex polygon is 2520° . How many sides does it have?
Answer:
16
Step-by-step explanation:
number of sides = (sum of interior angles / 180) + 2
(2520 / 180) + 2 = 16 sides
Which number line shows the solution to the inequality
Answer:
Option B
Step-by-step explanation:
What are the solutions of the following equation?
Answer:
D. x = 7 and x = 14
Step-by-step explanation:
this is a quadratic equation, so use the quadratic formula: (-b+-√b^2-4ac) / 2a for ax^2+bx+c=0
I need help I forgot how to do this helppppppppppp!!!!!!!!!!!
Answer:
it's a trapezoid
Step-by-step explanation:
((major base + minor base) x height) / 2
((7+5)x8) / 2 = 52
hillary paid 8$ for 12 dounts. what is the approximate unit cost for each donut
Answer:
Step-by-step explanation:
You have to multiply 8 times 12 and that is 96
Answer:
$1.50
Step-by-step explanation:
12÷8
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Answer:
OK Please mark me brailiest to follow your channel.
A car travels at an average speed of 90 km per hour.
2.2.1
3 hours?
How far will the car travel in 3
9514 1404 393
Answer:
270 km
Step-by-step explanation:
Distance is related to speed and time by ...
distance = speed · time
distance = (90 km/h)(3 h) = 270 km
The car will travel 270 km in 3 hours.
Helppppp
A coin is weighted so that the probability of getting heads is Suppose you toss this coin 15 times. Let X
represent the number of heads. What are the mean and standard deviation of X?
= 0.67.00.88
H-7.50 -2.33
H-7.50 -3.23
10, 1.83
Answer:
C) 10, 1.83
Step-by-step explanation:
Answer:
should be D) = 10, = 1.83
Step-by-step explanation:
guessed it right, edge 23
A manufacturer claims that a particular automobile model will get 50 miles per gallon on the highway. The researchers at a consumer-oriented magazine believe that this claim is high and plan a test with a simple random sample of 25 cars. What should the researchers conclude if the sample mean is 49 miles per gallon with standard deviation 2.3 miles per gallon
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Given values:
[tex]The \ population\ mean(\bar{x})=50\\\\The \ sample \ mean, \mu =49\\\\standard \ deviation, \sigma =2.3\\\\ (n)=25\\\\null, H_o :\ \mu=50\\\\alternate, H_1 :\ \mu<50\\\\ testing \ the \ statistic (t) = \frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt(n)}}\\\\to = \frac{49-50}{\frac{2.3}{\sqrt{25}}}\\\\to =-2.1739\\\\| to | =2.1739\\\\p-value\ :left \ tail - H_a : (p < -2.1739 )=0.0199\\\\null, H_o: \ \mu=50\\\\alternate, H_1: \ \mu<50\\\\test \ statistic: \ -2.1739\\\\p-value: 0.0199 \sim 0.02\\\\[/tex]
Therefore, the 0.02 p-value is sufficient proof to reject the claim form of the manufacturer.
After basketball practice, 8 players equally shared 3 water bottles of water. What fraction of a bottle did each player get?
Answer:
3/8
Step-by-step explanation:
You have three bottles and 8 players. You have to spread 3 bottles over 8 players. Here you get the fraction 3/8, or 3 over 8. This fraction is already simplified, which you know because 3 and 8 have no common factors. Thus you have your answer completed: 3/8.
Re-write the quadratic function below in Standard Form
y = -7(2x + 3)(x - 2)
Answer:
-14x² + 7x + 42
Step-by-step explanation:
(2x + 3)(x - 2) = 2x² - 4x + 3x - 6 = 2x² - x - 6
-7(2x² - x - 6) = -14x² + 7x + 42
Will give brainliest to the smartest answers
Find the value of z.
800
1930
1120
2
z = [? ]°
Answer:
Z is 87
Step-by-step explanation:
X+ 112 is the intercepted Arc of Angle 93- the arc measure is 2*93= 186
the intercepted arc of angle z is 360- 186= 174
half the arc measure of Z is the measure of angle Z 174/2= 87
Determine which of the following are solutions to the equation below.
Answer:
Option c) +/- √14
Step-by-step explanation:
+/- √14² = 14
Answer:
c
Step-by-step explanation:
c. +/-radical 14 this answer of x square = 14
which shape has 4 lines of symetry?
A. Equilateral Triangle
B. Thin rhombus
C. rectangle
D. rhombus that is thick as a sqaure
whats the answer???? will mark brainlest
no files
Answer: 18 0/1
Step-by-step explanation:
Solve for x:
y = a + cx
Answer:
[tex]\large{x=\frac{y-a}{c}}[/tex]
Simplified
[tex]\large{x=\frac{y}{c}-\frac{a}{c}}[/tex]
You can either choose simplified or the first one. Both solutions work.
Step-by-step explanation:
First, we have to isolate x-term.
[tex]\large{y=a+cx}[/tex]
This form of equation is called "Literal Equation" where y-term is currently isolated. Now we are going to isolate x-term by subtracting both sides by a-term.
[tex]\large{y-a=a+cx-a}\\\large{y-a=cx}[/tex]
We can say that we simply move the term to the another side and change the sign to the opposite (From plus to minus)
The next thing we are going to do is to divide the whole equation by c-term. Remember, we do not just divide y-term or a-term. We divide the whole expression.
[tex]\large{\frac{y-a}{c}=\frac{cx}{c}}\\\large{\frac{y-a}{c}=x}[/tex]
Finally, the x-term is isolated and thus been solved.
The form of [tex]\large{\frac{y-a}{c}}[/tex] can be simplified to [tex]\large{\frac{y}{c}-\frac{a}{c}}[/tex]
Answer:
x = [tex]\frac{y-a}{c}[/tex]
Step-by-step explanation:
subtract 'a' first
divide by 'c' second
Select the correct answer.
Which of these graphs represents a function?
W.
X.
Y.
Z.
A.
W
B.
X
C.
Y
D.
Z
The graph that represents a function is graph X
For a graph to represent a function, then the graph must pass the vertical line test.
This means that, no two output values of the graph must have the same input value.
The above statement can be interpreted as:
For every x value, there must be exactly one corresponding y value.
From the given graphs, only graph X passes the vertical line test, because every x value has exactly one corresponding y value.
Hence, the graph X represents a function
Read more about graphs and functions at:
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Answer:
the answer is x ! hope this helps
Step-by-step explanation:
i took the test
The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.5 suppose 49 golfers played the course today find the average score of the 49 golfers exceeded 65 round to four decimal places
Answer:
0.3897
Step-by-step explanation: i g o o g l e it
A taco shop is offering a 20% discount on their nacho plate. The original cost of the nacho plate is $15. After applying the discount, how much would the nacho plate cost?
$10
$12
$5
$3
Answer:
3$
Step-by-step explanation:
To find percentage on a discount like this all you have to do is multiply the pre-discount number by your discount percentage.
So all you have to do is:
15 x 0.20
which gives you an answer of 3.
Thus the post-discount amount is $3.
