Answer:
15.49 inches
Step-by-step explanation:
Volume of a cylinder is given by
[tex]V=\pi r^{2}h[/tex]
Making h the subject of the formula then
[tex]h=\frac {V}{\pi r^{2}}[/tex]
Where h is the height, V is volume and r is radius. Substituting 24.6 inches for r and 29468 cubic inches for V then
[tex]h=\frac {29468}{\pi 24.6^{2}}=15.493723673378\ in\approx 15.49\ in[/tex]
Therefore, the height is approximately 15.49 inches
The correct height of the cylinder that produces a volume of 29,468 in3 is 15 inches (Choice B).
To find the height of a cylinder with a volume of 29,468 cubic inches (in3) and a radius of 24.6 inches, we use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height.
Plugging in the known values, we get:
29,468 in3 = π(24.6 in)2h
Solving for h, the height of the cylinder, we perform the following steps:
Calculate the base area: Base Area = π(24.6 in)2
Divide the volume by the base area to find the height: h = Volume / Base Area
Calculate the height: h = 29,468 in3 / (π(24.6 in)2)
After performing the calculation, we conclude that the correct height of the cylinder that produces a volume of 29,468 in3 is 15 inches (Choice B).
11. Solve: K + 5 < -3
Answer:
[tex]k < -8[/tex]
Step-by-step explanation:
Step 1: Subtract 5 from both sides
[tex]k + 5 < -3[/tex]
[tex]k + 5 - 5 < -3 - 5[/tex]
[tex]k < -8[/tex]
Answer: [tex]k < -8[/tex]
Answer:
K < -8
Step-by-step explanation:
K + 5 < -3
Subtract 5 from each side
K + 5-5 < -3-5
K < -8
4 1/2+ 1 1/3 + 6 1/3=
Answer:
44/1/2
Step-by-step explanation:
Melissa picked 1 3/5 pounds of cherries. Rachel picked 2 1/3 times more cherries than Melissa. How many cherries did Rachel pick?
To find out how many cherries Rachel picked, the mixed numbers are converted to improper fractions, multiplied, and the result is converted back to a mixed number. Rachel picked 3 11/15 pounds of cherries.
Explanation:The question asks how many cherries Rachel picked, given that Melissa picked 1 3/5 pounds of cherries and Rachel picked 2 1/3 times more than Melissa. To find this out, we need to convert the mixed numbers into improper fractions, multiply and then convert back to a mixed number if necessary.
First, convert Melissa's cherries to an improper fraction: 1 3/5 = 8/5. Next, convert the number of times more Rachel picked: 2 1/3 times more = 7/3. Now, calculate Rachel's cherries: (8/5) * (7/3) = 56/15. Finally, convert 56/15 to a mixed number: 56/15 is 3 11/15. So, Rachel picked 3 11/15 pounds of cherries.
h(1)=−5
h(n)=h(n−1)+1.8
h(3)=
Answer:
-1.4
Step-by-step explanation:
h(2) = h(2-1) + 1.8
= h(1) + 1.8
= -5 + 1.8
= -3.2
h(3) = h(3-1) + 1.8
= h(2) + 1.8
= -3.2 + 1.8
= -1.4
As per the given expression h(n)=h(n−1)+1.8, then the value of h(3) is -1.4.
In this explanation, we will calculate the value of h(3) using the given recursive formula h(n) = h(n-1) + 1.8 with the initial condition h(1) = -5. We will follow the iterative approach to find the value of h(3) by step-by-step calculations.
We are given the recursive formula h(n) = h(n-1) + 1.8, where h(1) = -5. Let's find the value of h(3) using this formula.
Step 1: Calculate h(2)
To find h(2), we use the recursive formula:
h(2) = h(1) + 1.8
h(2) = -5 + 1.8
h(2) = -3.2
Step 2: Calculate h(3)
Now, to find h(3), we again use the recursive formula:
h(3) = h(2) + 1.8
h(3) = -3.2 + 1.8
h(3) = -1.4
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Find the area of the circle if r = 5 meters. Leave the answer in terms of π.
A) A =100π square meters
B) A =25π square meters
C) A = 5π square meters
D) A = 10π square meters
Hope this will help u...
a rectangular prism has a surface are of 3310 square inches. if the rectangular prism has a length of 15 inches and width of 32 inches.what is the height in inches
Answer:
25
step by step explanation:
HELP ASAP PLEASE!!!!!!!!!!
The parallelogram shown below has an area of 21 units.
Find the missing height.
Answer:
8
544+65+6+6+646546141
Answer:
Step-by-step explanation:
It it 7 becaues the base is 3 then 7 x 3 = 21
PLEASE HELP URGENT ! Find the value of each expression. Then, complete the inequality statement. -1/4) -2/5 __ - 5/6 ÷1/8 < > =
Answer:
>
Step-by-step explanation:
I had this question once sorry i'm late but -1/4) -2/5 = 1/10 , - 5/6 ÷1/8 = -6 and a fraction I keep forgetting so( -1/4) -2/5 > - 5/6 ÷1/8 )
The scores on the verbal section of the Graduate Records Examination (GRE) are approximately normally distributed with a mean of 150 and a standard deviation of 8.5. What is the probability that a randomly selected score on the verbal section is higher than 165?
Answer:
0.039
Step-by-step explanation:
There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165
What is z score?
The z score is used to show by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean)/standard deviation
Given that mean of 150 and a standard deviation of 8.5. Hence:
For x > 165
z = (165 - 150)/8.5 = 1.76
P(z > 1.76) = 1 - P(z < 1.76) = 1 - 0.9606 = 0.0394
There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165
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Using the discriminant, the following quadratic equation y=-3x^2+7x+6 has ___ solutions
A.2
B.1
C.0
Answer:
choice C. 0 no real solution
Step-by-step explanation:
y=-3x^2+7x+6
using the formula for discriminant
D = b^2 - 4ac
D = 7^2 - 4*3*6
D = 49 - 72 < 0
no real solutions
Twice a number is equal to negative four. Which equation could be used to find the number?
2 n = 4
2 n = -4
2 n - 4
2 n = -4 n
Answer:
2n=-4
Step-by-step explanation:
Let he number be n
N×2=-4
Further explanation
If we are to solve
Divide both sides by 2
n=-2
Answer:
2n=-4
Step-by-step explanation:
Make sure to give the other person brainliest!
mac has 11 different pictures to chose from. How many different arrangements can he make if he only uses 5 of the pictures?
Answer:
55440 different arrangements
Step-by-step explanation:
The answer is:
11 x 10 x 9 x 8 x 7
Which is equal to 55440 different arrangements
Support me by marking my answer as brainiest
Mac can create 55,440 different arrangements by using 5 out of his 11 pictures, calculated using the permutation formula P(11, 5).
The question asks how many different arrangements Mac can make using 5 out of 11 different pictures. To calculate this, we use the concept of permutations which is given by the formula P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to arrange.
In this case, Mac has 11 pictures (n = 11) and wants to arrange 5 of them (r = 5). Thus, the number of arrangements (permutations) can be found by the calculation: P(11, 5) = 11! / (11-5)! = 11! / 6!, which equals 11 x 10 x 9 x 8 x 7 = 55,440 different arrangements.
A figure has two sets of congruent sides and two sets of parallel sides.
Answer:
parallelogram
Step-by-step explanation:
Can someone help me with this problem?
Complete the table based on the given domain
Answer:
x = -6 ; y = 11
x = 3 ; y = 5
x = 15 ; y = -3
x = -12 ; y = 15
Step-by-step explanation:
y = -(⅔)x + 7
x = -6
y = -(⅔)(-6) + 7
y = 11
5 = -(⅔)x + 7
-2 = -(⅔)x
x = 3
y = -(⅔)(15) + 7
y = -3
15 = -(⅔)x + 7
8 = -(⅔)x
x = -12
True or False? The mapping N(t), whose mapping diagram is shown below is a function.
Answer:true
Step-by-step explanation:if there are more than one arrow coming from the x value which is the one to the left then it would be false .It doesn't matter if there are multiple arrow on the y values tho. Which is the one to the right.
this one example of a net of a cube. how many more possible nets could there be of a cube
Correct option is D) 10 .
Step-by-step explanation:
Net of a cube is : Basically , a cube consists of six square faces, twelve edges, and eight vertices. When the square faces of a cube are separated at the edges and laid out flat they make a two dimensional figure( 2D figure :- Comprises of x-axis & y-axis) called a net. There are eleven different nets for a cube.
Net -- a two-dimensional shape that can be folded into a three-dimensional figure is a net of that figure. Face -- a plane figure that serves as one side of a solid figure. Vertex -- the point at which two line segments, meet to form an angle. Edge -- the line segment where two faces of a solid figure meet.Since we have 11 nets of a cube ! According to question we have only one net given , that means there are 10 more net of a cub are left .Therefore , Correct option is D) 10 .
Combining Like Terms to Solve Equations
2x+3=23
Show how you got the answer
Answer:
X=10
Step-by-step explanation:
23-3=20
20÷2= 10
2(10)+3=23
A college student ingests 300 mg of caffeine at 6:00 am. He metabolizes the caffeine at 18% per hour. About how much caffeine is still in his system by 9:00 am?
Answer:
the number of caffeine still in his system by 9:00 am is 192 mg.
Step-by-step explanation:
given information
the mass of initial caffein, m₁ = 300 mg
time, t = 9 - 6 = 2 hours
metabolised = 18%/hour = 0.18/h = 0.18 x 300 mg = 54 mg/h
the student metabolised the caffeine 54 mg/h. thus from 6 am to 9 am the caffeine metabolised is
metabolised in 2 hr = 2 x 54
= 108 mg
the remaining caffeine = initial caffeine - metabolised caffeine
= 300 - 108
= 192 mg
Answer:
The correct answer is 138 mg.
Step-by-step explanation:
To understand this problem we must first analyze it.
We know that the student's body metabolizes 18% of the caffeine ingested every hour.
Therefore we can solve that percentage to already have the number of metabolized caffeine per hour:
(300. 18): 100 =
5400: 100 = 54 mg
We now know that the student's body will metabolize 54 mg of caffeine per hour.
The question is much caffeine is still in his system by 9:00 am?
From 6:00 am to 9:00 am we have 3 hours of difference: 3 . 54 = 162
In three hours 162 mg of caffeine were already processed by his body, therefore, it still needs to be metabolized: 300 - 162 = 138 mg.
825 grams of almonds for 23.41 (Find the price per 100g)
Answer:
2.83
Step-by-step explanation:
this is the approach i would take to solve this;
take the amount of money the almonds are and divide how many grams that would consist of
23.41 / 825 =
0.02837576 this is the price for 1 gram of almonds.
take this number and multiply by 100 to find how much 100g would cost.
0.0283 * 100 = 2.83
the price of 100 grams is 2.83
i hope this helped you!
:)
The price per 100 grams of almonds is 2.837 when dividing the total cost of 23.41 by the weight of 825 grams and then multiplying the result by 100.
To find the price per 100 grams of almonds, we will first need to calculate the cost per gram and then multiply it by 100 to get the cost for 100 grams. Here is how you can do it:
Divide the total cost by the total weight in grams to get the price per gram. Price per gram =Let's calculate it step-by-step:
Price per gram = 23.41 / 825 = 0.02837 (rounded to 5 decimal places).Price per 100 grams = 0.02837Therefore, the price per 100 grams of almonds is 2.837.
a cube has a surface area of 294 square inches what is the volume of the cube?
Answer:
343 cubic inches
Answer:
V=343
Step-by-step explanation:
The formula for surface area is SA=6s^2. The formula for volume is V=s^3. Plugging in the surface area and solving for s in the first one gives you s=✓(294/6). This results in a value of 7 for the s or side length. Cubing this gives you the volume.
V=7^3
V=343
Find the circumference of a model Ferris Wheel with a diameter of 10 inches. Use 3.14 for pi. Round to the nearest tenth.
Answer:31.42
Step-by-step explanation:First you need to find the radius of the circle,so you know the radius is half of the diameter,so you take the radius(2) and multiplys by the pi which is 3.14 the formula is r^ x π
Answer:
31.4 in^2
Explanation:
The Formula for finding circumference is π*d (d=Diameter) or in this case 3.14*d. all you have to do is plug in 10 into the formula and get 3.14*10= 31.4 in^2
Twenty disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed? Plz help
The expression which is false in determining the volume of the cylinder is given by V₁ = π . 3 . 12²
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the 12 cylinders be V
Let the height of the cylinder be h = 1 cm
Let the radius of the cylinder be r = 3 cm
Now , Volume of Cylinder = πr²h
On simplifying , we get
Volume of the cylinder V = 12 x ( π x 3² x 1 )
Volume of the cylinder V = π x 3² x 12 cm³
Volume of the cylinder V = 108π cm³
So , the expression V₁ = π . 3 . 12² is false and cannot be used to determine the volume of the cylinder
Hence , the volume of cylinder is 108π cm³
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The complete question is attached below :
Twelve disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed?
The graph of 2x + 3y = 8 is shown on the grid. Which ordered pair is in the solution set of 2x + 3y = 8?
es )
A)
(1,4)
(1,-4)
(4,1)
(1.4)
Answer:
None of these solutions
Step-by-step explanation:
Substitute the values for x and y into the equation and see if they work out:
2(1)+3(4)=8
14 is not equal to 8, so (1,4) is not a solution.
2(1)+3(-4)=8
-10 is not equal to 8, so (1, -4) is not a solution.
2(4)+3(1)=8
11 is not equal to 8, so (4,1) is not a solution.
You repeated the first option as the last one but with a period instead for some reason, perhaps a typo?
This is urgent, please answer!
Anna cuts four identical circles from a square piece of a black poster as shown.
What is the area of the leftover poster board?
Use 3.14 for Pi
A. 3.44 square feet
B. 6.58 square feet
C. 12.56 square feet
D. 12.86 square feet
Can u show me how to simply this step by step please? This is very important. HELP!!!!!
Given:
[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]
To find:
The simplified expression.
Solution:
[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]
Apply the fraction rule: [tex]\frac{\frac{y}{z}}{x}=\frac{y}{z \cdot x}[/tex]
[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}=\frac{a^{2}-b^{2}}{a b\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex] ------------ (1)
Let us simplify [tex]\frac{1}{b}-\frac{1}{a}[/tex].
LCM of a and b = ab
Adjacent fraction based on the LCM
[tex]\frac{1}{b}-\frac{1}{a}=\frac{a}{a b}-\frac{b}{a b}[/tex]
[tex]=\frac{a-b}{a b}[/tex]
Substitute this in equation (1).
[tex]$=\frac{a^{2}-b^{2}}{\frac{a-b}{a b} a b}[/tex]
Common factor ab get canceled.
[tex]$=\frac{a^{2}-b^{2}}{a-b}[/tex]
Apply the algebraic formula: [tex]x^{2}-y^{2}=(x+y)(x-y)[/tex]
[tex]$=\frac{(a+b)(a-b)}{a-b}[/tex]
Cancel the common factor a - b, we get
[tex]=a+b[/tex]
The simplified expression is a + b.
Question 3
Which of the following are solutions of the
equation represented by the graph?
Mark all that apply answer
0,1
2,4
-4,1
-1,2
3,8
1,0
Answer:
0,1
2,4
3,8
Are all the solutions that apply to the graph
Step-by-step explanation:
adding and subtracting polynomials
Answer:
d - c = -10y^2 -y -10
Step-by-step explanation:
-7y^2 - 3y^2 = - 10y^2
3y- 4y = -1y or -y
-6 - 4 = -10
Answer:
-10y^2 - y - 10
Step-by-step explanation:
First put them in order:
(-7y^2+3y-6)-(3y^2+4y+4)
Then distribute the negative to the second set of parentheses:
-7y^2+3y-6-3y^2-4y-4
Then simplify leaving you with the answer
-10y^2 - y - 10
The height of an object seconds after it is launched is modeled by the function h(t)=-4t^2+16t+180. When will the object hit the ground?
Answer:
9 seconds after the object is launched
Step-by-step explanation:
The function models the height of the object as a function of the time after the object is launched. Therefore h(t) will be zero, and you will solve for t like a normal quadratic equation.
0 = -4t² + 16t + 180
First, you can factor out the -4 from all the terms.
0 = -4(t² - 4t - 45)
Next, factor what is inside the parentheses
0 = -4 (t + 5) (t - 9)
Then you set each of the factors individually to zero and solve
t + 5 = 0 and t - 9 =0
From this we get that time is:
t = -5 and t = 9
Now that time cannot be negative, we figure out that the time is 9 seconds, therefore the object will hit the ground after 9 seconds.
The perimeter of the following figure is 18.6 inches. What is the length of n?
Given:
Perimeter of the figure = 18.6 inches
To find:
The length of n.
Solution:
Perimeter of the figure = 18.6 inches
Perimeter = Sum of the sides
3 + 6.3 + 4.5 + n = 18.6
13.8 + n = 18.6
Subtract 13.8 from both sides.
13.8 + n - 13.8 = 18.6 - 13.8
n = 18.6 - 13.8
n = 4.8
The length of n is 4.8 inch.