We need to find the volume of a cylinder with a diameter of 17 cm and a height of 41 cm.
The volume V of a cylinder with radius r and height h is:
\(V=\pi r^2h\)In this problem, we have:
\(\begin{gathered} r=\frac{\text{ diameter}}{2}=\frac{17\text{ cm}}{2}=8.5\text{ cm} \\ \\ h=41\text{ cm} \\ \\ \pi\cong3.14 \end{gathered}\)Then, we obtain:
\(\begin{gathered} V\cong3.14(8.5\text{ cm})^2(41\text{ cm}) \\ \\ V\cong3.14(72.25)(41)\text{ cm}^3 \\ \\ V\cong9301.465\text{ cm}^3 \end{gathered}\)Answer
The volume is 9301.465 cm³.
MY
LAST
QUESTION (NEED HELP ASAP) PLEASE!!!!
Answer:
The answer is A
Step-by-step explanation:
pls show work
Thank youuu I’ll appreciate it <3
Answer:
x = 5
Step-by-step explanation:
The mid term exam had a normal distribution with mean 70 and standard deviation 10. To get a C you have to be in the middle 40% of the class. Which two grades will define the middle 40%.
Answer:
64.8 and 75.2
Step-by-step explanation:
A suitable probability calculator can show you the middle 40% is between about 64.8 and 75.2.
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use cross products to demonstrate whether or not the two ratios are equivalent:
4/6 and 14/21.
a diver is 19 made it below the surface of the water use an integer to represent how far the diver would need to travel to reach to Surfer
If the diver is 19 meters below the surface, we can represent the depth as a one-dimension measure, where the surface has a value of 0.
Then, if he is 19 below the surface, he is at x=-19.
He has to travel from x=-19 to the surface (x=0), then the difference is:
Surface - Actual Position = 0 - (-19) = 19
He need to travel 19 meters towards the surface.
. If Charlie started reading the book on page one, and he read the same amount of pages each day of this eight-day period, how many pages did he actually read by the end of the 8th day?
Answer: 96 pages
Step-by-step explanation:
hope this helps
Solve the simultaneous equations 3x²+ 2x = y²- y + 50, 2x = y +5.
Answer:
(x,y) = (4,3), (20,35)
Step-by-step explanation:
3x²+ 2x = y²- y + 50
2x = y +5
y=2x-5, sub into 3x²+ 2x = y²- y + 50
\(3x^2+2x=(2x-5)^2-(2x-5)+50\\3x^2+2x=4x^2-20x+25-2x+5+50\\0=x^2-24x+80\\x=20 ,4\\\)
sub into y=2x-5
y= 35, 3
f
(
x
)
=
−
2
x
2
+
2
x
+
4
Answer:
x=0
Step-by-step explanation:
f(x)=−2x2+2x+4
0=-4+2x+4
x=0
you want to install molding around the circular room. How much it would cost you to install the molding that you picked if it cost $4.22 per foot?
The cost of the molding is given as follows:
$119.30.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
The parameters for this problem are given as follows:
d = 9 -> r = 4.5.
(as the radius is half the diameter)
Hence the circumference is given as follows:
C = 2 x π x 4.5
C = 28.27 ft.
The cost is of $4.22 per ft, hence the total cost is given as follows:
4.22 x 28.27 = $119.30.
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Use the expressions from the previous questions to determine Mary’s age.
The age of Mary is 15 years old.
To solve this, we have three expressions:
\(\begin{gathered} M=J+5 \\ J=T-28 \\ T=3H-1 \end{gathered}\)Where M is the age of Mary, J is the age of Jacob, T is the age of Uncle Tim and H is the age of Henry
Also teh problem give us an additional info, the age of Henry is 13. With this, we can replace the value of H in the thrid equation:
\(\begin{gathered} \begin{cases}H=13 \\ T=3H-1\end{cases} \\ \text{Then:} \\ T=3\cdot13-1=39-1=38 \\ T=38 \end{gathered}\)Now we can replace T in the second equation:
\(\begin{gathered} \begin{cases}T=38 \\ J=T-28\end{cases} \\ \text{Then:} \\ J=38-28=10 \\ J=10 \end{gathered}\)Finally, we can replace J in the first equation to get the age of Mary:
\(\begin{gathered} \begin{cases}J=10 \\ M=J+5\end{cases} \\ \text{Then:} \\ M=10+5=15 \end{gathered}\)Thus, the age of Mary is 15 years old.
Quadrilateral KAT E has vertices K (1,5), A(4,7), T (7,3), and B(1, -1). Prove that quadrilateral K ATD is a trapezoid,
Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°. Which of the following is a possible way to classify the triangle by side and angle measurements?
A.
obtuse and isosceles
B.
acute and scalene
C.
obtuse and equliateral
D.
acute and equilateral
Answer:
b is the answer because an acute traingle is angles that are below 90 degrees and scale trainle because none of the side equal to each other but it equals a total of 180 degrees.
Hurry!
The following is a function, true or false?
Answer:
Step-by-step explanation: true
Select the correct answer from each drop-down menu.
A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is _____ because the sample is _____. In this instance, an ______study was performed.
The conclusion is valid in this experiment because the sample is homogenous and an experimental study was performed.
What is an experimental study?It should be noted that an experimental study is one in which there is a dependent variable and there is a dependent variable. Also a control is used to establish the validity of the results.
In this case, the dependent variable is the level of softness after treatment while the independent variable is the type of water softener used.
The conclusion is valid in this instance because the sample is homogenous and an experimental study was performed.
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I need some help with this problem
Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))
Math took my sis phone to see if this works pls help!
Answer:
8+3*25, 83,2^3+3*5^2, are all equivalent
Step-by-step explanation:
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Brenda is selling two different not mixes as snacks. Mix A has 3 oz. of cashews and 7 oz. of almonds. Mix B has 6 oz. of cashews and 5 oz. of almonds. Which inequalities represent the number of mix A mixes, and mix B mixes, B, Brenda can make if she has 72 oz. of cashews and 84 oz. of almonds.
Answer:
Mix A ≤ 12
Mix B ≤ 12
Step-by-step explanation:
Mix A requires 3 oz of cashews and 7 oz of almonds
Mix B requires 6 oz of cashews and 5 oz of almonds
If Brenda makes just Mix A using the available 72 oz of cashews and 84 oz of almonds
With 72 oz of cashews, she would potentially make 72/3=24 Mix A snacks
With 84 oz of almond, she would potentially make 84/7=12 Mix A snacks
Since she would require both cashews and almonds to make Mix A snacks, she would be able to make 12 mix A snacks
Inequality would be:
Mix A ≤ 12
If Brenda makes just Mix B using the available 72 oz of cashews and 84 oz of almonds
With 72 oz of cashews, she would potentially make 72/6=12 Mix B snacks
With 84 oz of almond, she would potentially make 84/5=16 (approximately) Mix B snacks
Since she would require both cashews and almonds to make Mix B snacks, she would be able to make 12 mix B snacks
Inequality would be:
Mix B ≤ 12
Answer:
3A+6B≤72
7A+5B≤84
Step-by-step explanation:
Just took the exam and got it right
A cruise ship travels at a constant speed. In 3 hours, the ship travels 72 nautical miles. If the ship continues to travel at the same rate, how far would it travel in 11 hours. (No links) (if it’s wrong I will report and delete) (explain)
Answer:
264
Step-by-step explanation:
72 divided by 3= 24
24x11=264
The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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En cierto laboratorio se cultiva la cepa de una bacteria, causal de múltiples problemas. Con fin de determinar la rapidez de reproducción de dicha bacteria, esta se coloca en un medio de crecimiento y condiciones favorables. La población existente es de 250 bacterias y se observa que cada hora se duplica la cantidad
The exponential function giving the number of bacteria after x hours is given as follows:
\(y = 250(2)^x\)
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = 250, b = 2.
Hence the function is given as follows:
\(y = 250(2)^x\)
Missing InformationThe problem asks for the exponential function giving the number of bacteria after x hours is given as follows:
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What is the missing number
Answer:
1
Step-by-step explanation:
pls help and explain how you got the answer
The class of the equation and the cross section equation are;
The equation is a hyperboloid of two sheets
The cross sections are;
Equation at z = 0 is; y²/8 - x²/8 = 1
Equation at y = -4 is; x²/8 + z² = 1
Equation at y = 0 is; x²/8 + z² = -1
Equation at y = 4 is; x²/8 + z² = 1
Equation at x = 0 is; y²/8 - z² = 1
What is an equation ?An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.
The equation can be presented as follows;
y² = x² + 8·z² + 8
y² - x² - 8·z² = 8
y²/8 - x²/8 - z² = 1
The above equation is the equation of an hyperboloid of two sheets, where;
a² = 8, b² = 1, and c² = 8
Please find attached the diagram of the surface, created with an online 3D graphing tool.
The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;
y²/8 - x²/8 - 0 = 1
y²/8 - x²/8 = 1
The above equation is the equation of an hyperbola in the xy plane
The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;
4²/8 - x²/8 - z² = 1
- x²/8 - z² = 1 - 4²/8 = -1
- x²/8 - z² = -1
x²/8 + z² = 1
The above is an equation of an ellipse in the xz plane
The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;
0²/8 - x²/8 - z² = 1
- x²/8 - z² = 1
Therefore; x²/8 + z² = -1
The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;
4²/8 - x²/8 - z² = 1
- x²/8 - z² = 1 - 2 = -1
x²/8 + z² = 1
The above equation is the equation of an ellipse in the xz plane
The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;
y²/8 - 0²/8 - z² = 1
y²/8 - z² = 1
The equation is the equation of an hyperbola in the yz plane
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after a few pricing experiments papas fried chicken has determined that the number b of buckets of chicken papa can sell on a saturday night is related to the price p per bucket by the relation b=100-5p what can we tell from this formula
The formula provides insights into the relationship between price and demand for Papa's Fried Chicken, indicating how changes in price affect the number of buckets of chicken sold.
From the formula b = 100 - 5p, we can infer the following:
The formula represents a linear relationship between the number of buckets of chicken sold (b) and the price per bucket (p).
The coefficient of p, which is -5, indicates that for every increase of 1 unit in the price, the number of buckets sold decreases by 5 units. Conversely, for every decrease of 1 unit in the price, the number of buckets sold increases by 5 units.
The intercept term of 100 represents the maximum number of buckets that can be sold at a price of 0. This suggests that there is a limit to the number of buckets that customers are willing to purchase, regardless of the price.
The formula assumes a downward-sloping demand curve, indicating that as the price increases, the quantity demanded decreases. This aligns with the typical behavior of most goods or services.
The formula implies that there may be an optimal price point where the number of buckets sold is maximized. Finding this price point would involve finding the value of p that maximizes the expression 100 - 5p.
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Bob packs 13 pounds of nuts in bags. Each bag has 1/4 pound of nuts. Which equation shows the number of bags Bob packed with all the nuts?
13 × 1/4 = 52
13 ÷ 1/4 = 52
13 ÷ 1/4 = 14/4
13 × 1/4 = 13/4
The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags
Given data ,
Bob packs 13 pounds of nuts in bags.
Each bag has 1/4 pound of nuts
Now , the number of bags = pounds of nuts / pounds of nuts in each bag
A = 13 / 1/4
On simplifying the equation , we get
A = 52 bags
Hence , the number of bags is 52 bags
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2x + 3 ≥ 6 illustrat in number line
Answer:
2x + 3 ≥ 6
2x + 3 - 3 ≥ 6 - 3
2x ≥ 3
2x ÷ 2 ≥ 3 ÷ 2
x ≥ 1.5
A square has a side length of 7 cm. A rectangle has a length of y/8-3cm and a width of 4 cm. The square has the same perimeter as the rectangle. Work out the value of y.
if the square has the same perimeter as the rectangle then the value of y is 92.
How to find the value of y?The perimeter of a square is equal to the sum of all four sides, so a square with a side of 7 cm has a perimeter of 4 * 7 cm = 28 cm.
The perimeter of the rectangle is equal to twice the sum of the length and width. So for a rectangle of length y/8-3cm and width 4cm, the perimeter is 2 * (y/8-3+4) cm = (y/4-3+8) cm = y/4 . +5 cm.
Since squares and rectangles have the same perimeter, the two perimeter formulas can be equal.
28cm = y/4+5cm
You can solve for y by isolating it on one side of the equation.
years/4+5 = 28
y/4 = 23
y=92
So the value of y is 92.
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What is the equation of the line that passes through the point (-8,-8)(−8,−8) and has a slope of 0?
Answer:
\(y=-8\)
Step-by-step explanation:
Recall the slope formula:
\(m=\frac{x_{2} -x_{1}}{y_{2} -y_{1}}\)
Since all of the x and y values are -8, we can easily plug in the values.
\(m=\frac{-8+8}{-8+8}=0\)
(The second -8 on the top and bottom is positive because adding when subtracting negatives, you must add. For example -1-(-1) would become -1+1=0)
Recall the point-slope formula:
\(y-y_{1} = m(x-x_{1} )\)
Now substitute and solve.
\(y-(-8)=0(x-(-8)\) Substitute
\(y+8=0(x+8)\) Simplify
\(y+8=0\) Distributive Property
\(y=-8\) Subtraction Property
Therefore the answer is \(y=-8\).
An orange has about 1/4-cup of juice. How many oranges are needed to make 2-1/2-cups of juice? Which equations represent this question?
? x 1/4 = 2-1/2
1/4 ÷ 2-1/2 = ?
? x 2-1/4 = 1/4
2-1/2 ÷ 1/4 = ?
Answer:
D
Step-by-step explanation:
Jack dining room room is 5 inches wide and 12 inches long. He wants to install wooden trim around the top of the room. The trim cost 5$ per inch. How much will it cost him to buy enough trim?
Answer:
$170
Step-by-step explanation:
since he wants to put it around the top and not fill it, it will be a perimeter problem. 5+12+5+12 is 34, and 34 x $5 is 170.