Answer:
4021 cm^3
Step-by-step explanation:
The volume of a cylinder can be found using the following formula.
[tex]V=\pi r^2h[/tex]
where r is the radius and h is the height.
We know the cylinder has a height of 20 centimeters and a diameter of 8 centimeters.
h= 20 cm
d= 8 cm
Substitute these values into the formula.
[tex]V=\pi (8 cm^2) * 20 cm[/tex]
First, evaluate the exponent.
8 cm^2= 8 cm * 8 cm= 64 cm
[tex]V=\pi * 64 cm^2*20 cm[/tex]
Multiply 64 cm^2 and 20 cm
[tex]V=\pi *1280 cm^3[/tex]
Multiply 1280 cm^3 and pi
[tex]V=4021.2386 cm^3[/tex]
Round to the nearest cubic centimeter. The 2 in the tenth place tells us to leave the number as is.
[tex]V= 4,021 cm^3[/tex]
The volume is about 4,021 centimeters^3.
The approximate volume of the tube is 1005 cm³.
What is a cylinder?A cylinder is a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.
Given that a cardboard cylinder has a diameter of 8 centimeters and a height of 20 centimeters, we need to find the volume of the cylinder,
The volume of the cylinder = π × radius² × height
Radius = diameter / 2 = 8/2 = 4 cm
Therefore,
Volume = π × radius² × height
= 3.14 × 4² × 20
= 3.14 × 16 × 20
= 1004.8 ≈ 1005
Hence, the approximate volume of the tube is 1005 cm³.
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The price (p), in cents, of a sweet is directly proportional to the mass (m) of the
sweet.
When the sweet cost 55 cents, the mass is 220 g. Find
(a) the equation connecting p and m.
(b) the mass, in grams, of a sweet which cost 540 cents,
(c) the cost of a sweet in cents, with a mass of 115 g
If f(x) is the total number of bacteria present in a sample after x hours, which of the following statements best describes the meaning of f(2) = 12? (1 point) The total number of bacteria present in the sample after 12 hours is 2. The total number of bacteria present in the sample after 6 hours is 2. The total number of bacteria present in the sample after 2 hours is 12. The total number of bacteria present in the sample after 6 hours is 12.
Answer:
The total number of bacteria present in the sample after 2 hours is 12.
Step-by-step explanation:
In the function f(2) = 12, 2 represents x, and 12 represents the output when x is equal to 2.
In the context of this problem, this means that f(2) = 12 represents how in 2 hours, there were 12 bacteria present in the sample.
Answer:
The total number of bacteria present in the sample after 2 hours is 12.
Step-by-step explanation:
f(x) is the total number of bacteria, while x is the number of hours. We are given:
f(2)=12
2 is x (the input) and 12 is f(x) (the output).
Since x=2 and x=number of hours, 2 describes the number of hours.
Since f(x)= 12 and f(x)= number of bacteria, 12 describes the number of bacteria.
Therefore, after 2 hours, the total number of bacteria present is 12.
can I get help with this question. I need to find the value of x
Step-by-step explanation:
sides of 2 triangles are proportional
x/12=28/21
x=16
=======================================================
Explanation:
The diagonal pieces are 28 and 21. They pair up to get the fraction 28/21
The horizontal pieces are x and 12, in the same order from left to right. The order is important (so things pair up properly). We get the fraction x/12
-------
Set the two fractions equal to each other and solve for x
28/21 = x/12
28*12 = 21*x .... cross multiply
336 = 21x
21x = 336
x = 336/21 .... divide both sides by 21
x = 16
Find b given A = 50° and a = 8.
Answer: b ~= 6.71
Answer with Steps:
tan(50) = 8/b
b = 8/tan(50)
b ~= 6.71
find the square root of 100 5.75
Answer:
10 and 2.4
Step-by-step explanation:
100 is 10*10 so: [tex]\sqrt{100}[/tex] = 10
5.75 is a decimal number
[tex]\sqrt{5.75}[/tex] = 2.39≈ 2.4
El área de un decágono regular cuya apotema mide 5,08 cm y la longitud de su lado es 3,3 cm.
Answer:
83.82 cm^2
Step-by-step explanation:
Aquí, queremos calcular el área de un decágono dada su apotema y la longitud de su lado.
Matemáticamente;
Área de decágono = 1/2 * perímetro * apotema
Donde perímetro = 10 * s
donde s es la longitud de los lados
Entonces el área aquí sería; 1/2 * 10 (3.3) * 5.08 = 83.82 cm ^ 2
the qestion is the picture
Answer:
-2/9
Step-by-step explanation:
Answer:
the answer is C. - 2/9!!!!!!
Step-by-step explanation:
In a division equation, quotient is the answer derived after dividing the dividend by the divisor. To continue with our sample word problem, all we need to do to find the quotient of the division word problem, is to divide the dividend by the divisor sooo we just Divide: -2 / 9 = -0.222222222222 = -2/9! the answer is going to be C.!
hope this helped!
Which graph represents the solution set of the system of linear inequalities below?
Answer:
C
Step-by-step explanation:
First you find which line is which.
The one with 5x in it is the steepest one, and we have to be above it due to the >.
The one with 2x in it is the least steep, and we have to be below it due to the <.
Graph C satisfies both these restrictions.
If f(x)=3x+2, what is f(5)
Answer:
f(5) = 17Step-by-step explanation:
f(x)=3x+2
To find f (5) replace every x in f(x) by 5
That's
f(5) = 3(5) + 2
= 15 + 2
= 17Hope this helps you
A chord cuts off a 120 degree arc. If the radius of the circle is 26 inches, find the
chord length
Answer:
26sqrt(3)
Step-by-step explanation:
You end up with two 30-60-90 triangles.
26/2 = 13
2 * 13 * sqrt(3) = 26sqrt(3)
simplify 5x5^2 leaving your answer in index form
Answer:
5 power 3
Step-by-step explanation:
the answer of 5 power 2 is 25,multiply by 5 to get 125,make 5 the base to get your answer
Answer:
5^3
Step-by-step explanation:
5x5^2= 25x5=125
Now that is equivalent to 5^3
5x5x5=125
If both nappes of a right circular cone are intersected by a plane that does not
pass through the vertex of the cone, the resulting curve will be an)
Answer:
Hyperbola
Step-by-step explanation:
When the two napes of a cone are intersected by a plane, the resulting curve is that of the two branches of a hyperbola. See attached image.
can someone help me do this please
Answer:
d = 13.9965 in
Step-by-step explanation:
Area of a Circle Formula: A = πr²
diameter = 2r
Step 1: Plug in known variables
153.86 = πr²
Step 2: Solve for r
153.86/π = r²
r² = 48.9752
r = √48.9752
r = 6.99823
Step 3: Find d
d = 2(6.99823)
d = 13.9965
Answer:
Step-by-step explanation:
We khow that the area of a cercle is :
A= r²*π where r is the radius
A= 153.86 in²
so : r² = 153.86/π = 48.97 ≈ 49
then r = 7
so the diameter is 14 in
Anyone please help me
Answer:
(a) 6
(b) 14
Step-by-step explanation:
Answer: (a) 6
(b) 14
Step-by-step explanation:
Let a represent the unknown digit for Chinese --> 70 + a
Let b represent the unknown digit for Mathematics --> 80 + b
Total scores ÷ Total number of tests = Average
[tex]\dfrac{78 + (70 + a) + (80 + b) + 62}{4}=76\\\\\\\dfrac{290 + a + b}{4}=76\\\\\\290 + a + b=304\\\\\\a+b=14[/tex]
The two digits must add up to 14.
The only options are: (9,5), (8,6), (7,7), (6,8), and (5,9),
Mathematics - Chinese
(9, 5) 89 - 75 = 14 LARGEST Difference
(8, 6) 88 - 76 = 12
(7, 7) 87 - 77 = 10
(6, 8) 86 - 78 = 8
(5, 9) 85 - 79 = 6 SMALLEST Difference
(03.02 MC) Some researchers claim there is an association between getting a tattoo and contracting hepatitis C. They took a random sample of people living in Los Angeles, California, and recorded whether they had a tattoo and whether they were infected with hepatitis C. The results are shown in the following two-way table: Has Hepatitis C Does Not Have Hepatitis C Does not have a tattoo 5 50 Has one tattoo 10 210 Has more than one tattoo 15 150 If a person is chosen at random, what is the probability that he or she has hepatitis C, given that he or she has one tattoo? (2 points) Select one: a. 0.045 b. 0.333 c. 0.05 d. 0.50
Answer:
The correct option is (b) 0.333.
Step-by-step explanation:
The data provided is as follows:
Hepatitis C No hepatitis C Total
No Tattoos 5 50 55
1 Tattoo 10 210 220
> 1 Tattoo 15 150 165
Total 30 410 440
The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
The condition probability of an event A provided that another event X has already occurred is:
[tex]P(A|X)=\frac{P(A\cap X)}{P(X)}[/tex]
The number of people who has hepatitis C is:
n (Hepatitis C) = 30
The number of people who has hepatitis C and one tattoo is:
n (Hepatitis C and 1 Tattoo) = 10
Compute the probability that he or she has hepatitis C, given that he or she has one tattoo as follows:
[tex]P(\text{Hepatitis C} |\text{1 Tattoo})=\frac{n(\text{Hepatitis C and 1 Tattoo})}{n(\text{1 Tattoo})}[/tex]
[tex]=\frac{10}{30}\\\\=\frac{1}{3}\\\\=0.333[/tex]
Thus, the correct option is (b).
The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The table is given below.
Hepatitis C No hepatitis C Total
No Tattoos 5 50 55
1 Tattoo 10 210 220
> 1 Tattoo 15 150 165
Total 30 410 440
The number of people who has hepatitis C is 30. And the number of people who has hepatitis C and one tattoo is 10.
The probability that he or she has hepatitis C, given that he or she has one tattoo will be
P = 10/30
P = 1/3
P = 0.333
The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.
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I need help! Thx :) 6th grade
Answer:
0.92
Step-by-step explanation:
To write a percent as a decimal, we divide the value by 100.
Divide 92 by 100.
[tex]\frac{92}{100}[/tex]
[tex]=0.92[/tex]
Answer:
0.92
Step-by-step explanation:
92/100=0.92
Fraction- 92/100 — 46/50 — 23/25
please help i will give out brainliest
Answer:
6, 0, 10
b
Step-by-step explanation:
What is the solution for x in the given equation? sgrt9x+7+sgrt2x=7
find 3√27 +3√64 - 3√125
Answer:
the answer is approximately 6.047
The child has been diagnosed with rickets. The child’s mother is educated about the importance of providing the child with 10 micrograms (400 International Units) of an oral vitamin D supplement each day. The child’s mother purchases over-the-counter vitamin D drops. The supplement is noted to contain 5 mcg of vitamin D in each 0.5 mL. How much of the supplement should the mother administer to the child each day? Record your answer using one decimal place.
Answer:
1.0 mL each day
Step-by-step explanation:
The required daily dosage of vitamin D is 10 micrograms.
The supplement contains 5 micrograms per 0.5mL.
The volume of supplement necessary to fulfill the daily requirements of vitamin D is:
[tex]V=\frac{0.5\ mL}{5\ mcg}*10\ mcg\\ V=1.0\ mL[/tex]
She should administer 1.0 mL of the supplement each day.
Find the value of y.
Jennifer had $80 to spend on herself. She spent 1/5 of the money on a sandwhich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?
Answer:
$10.67
Step-by-step explanation:
Jennifer has a total amount of $80 to buy what she needs
1/5 of the money is spent on sandwich
= 1/5×80
= $16
The amount spent on sandwich is $16
1/6 of the money is spent on tickets to a museum
= 1/6×80
= 0.166×80
= $13.33
The amount spent on tickets is $13.33
1/2 of the money is spent on a book
= 1/2×80
= 0.5×80
= $40
The amount spent on a book is $40
Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend
= $80-$16+$13.33+$40
= $80-$69.33
= $10.67
Hence the amount of money left on Jennifer is $10.67
- 1 = 5 + x/6 Solve for the variable.
Hey there! :)
Answer:
x = -36.
Step-by-step explanation:
Starting with:
-1 = 5 + x/6
Begin by subtracting 5 from both sides:
-1 - 5 = 5 - 5 + x/6
-6 = x/6
Multiply both sides by 6:
-6 · 6 = x/6 · 6
-36 = x.
Answer:
x = -36
Step-by-step explanation:
- 1 = 5 + x/6
Subtract 5 on both sides.
-1 - 5 = x/6
-6 = x/6
Multiply both sides by 6.
-6 × 6 = x
-36 = x
The total global area of crops has increased from 44.2 million to
181.5 million
hectares between 2000 and 2014. Calculate the percentage increase Round this up to the
next whole number.
Answer:
311%
Step-by-step explanation:
The percentage change is calculated as ...
percent change = ((new value) -(old value))/(old value) × 100%
Filling in the numbers, we have ...
percent change = (181.5 -44.2)/44.2 × 100% ≈ 311%
The global area increased by 311% over the interval.
Intro to Exponential Equations
Answer:
d.) 36
Step-by-step explanation:
f(x) = 4.[tex]3^{x}[/tex]
f(2) = 4 × 3² = 4 × 9 = 36
el perimetro de un terreno rectangular es de 170m y su area es de 170^2hallar la medida de sus lados con ecuacion cuadratica
Answer:
Acá tenemos un sistema de ecuaciones.
El perímetro de un rectángulo es:
2*A + 2*L = 170m
donde A es el ancho y L es el largo.
Y el área del rectángulo es:
A*L = 170m^2.
Entonces, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la segunda:
A = 170m^2/L.
Ahora reemplazo eso en la primera ecuación y la resuelvo para L.
2*( 170m^2/L.) + 2*L = 170m.
340m^2 + 2*L^2 = 170m*L
ahora tenemos una ecuación cuadrática:
2*L^2 - 170m*L + 340m^2 = 0.
Las soluciones se pueden obtener usando la formula de Bhaskara:
[tex]L = \frac{+170 +- \sqrt{170^2 -4*340*2} }{2*2} = \frac{170 +-161.8}{4}[/tex]
Entonces las soluciones son:
L = (170 + 161.8)/4 = 82.95m
L = (170 - 161.8)/4 = 4.1m
Entonces, si tomamos L = 82.95m, tenemos A = 4.1 m
y el área es:
A*L = 4.1m*82.95m = 170m^2
solve this...question
Answer: 5. P = (-4, 6) R = (-4, -4)
6. (a) a = 4, b = 3 (b) BC = 8 (c) B = (3, 4)
7. (a) m = 4, n = 6 (b) PQ = (-2, 6) (c) SR = (2, -6)
Step-by-step explanation:
5. The distance from Q (4, 0) to A (0, 3) is 4 left and up 3.
So the distance from A to P is 4 left (0 - 4) and up 3 (3 + 3)
--> P = (-4, 6)
Similarly, the distance from Q (4, 0) to B (0, -2) is 4 left and down 2.
So the distance from A to P is 4 left (0 - 4) and down 2 (-2 - 2)
--> P = (-4, -4)
6. Follow the same steps as #5 (above) to get the following coordinates:
A = (-3, 4) B = (3, 4)
D = (-3,-4) C = (3, -4)
a) a = 4, b = 3
b) BC = 2(4) = 8
c) B = (3,4)
7. Follow the same steps as #5 (above) to get the following coordinates:
P = (-4, 6) Q = (0, 6)
S = (0, -6) R = (4, -6)
a) m = 4, n = 6
b) midpoint PQ = (-2, 6)
c) midpoint SR = (2, -6)
The farmer loaded 2/5 of the boxes onto the truck. He needed to load 345 more boxes of tomatoes onto the truck. How many boxes of tomatoes de he have to load altogether?
Answer:
575 boxes
Step-by-step explanation:
Let the total number of boxes = x
The farmer already loaded [tex]\dfrac25[/tex] of the boxes onto the truck.
Therefore, the remainder [tex]=1-\dfrac25=\dfrac35[/tex]
Since he needed to load 345 more boxes of tomatoes onto the truck.
[tex]\dfrac35 \times x =345\\3x=345\times5\\x=(345\times5) \div 3\\x=575[/tex]
The farmer had 575 boxes of tomatoes to load altogether.
find the y-intercept of the function: f(×)=(×+10)/(×-5)
Answer:
(-10,0)
Step-by-step explanation:
Hello
this is (-10,0) point
because f(-10)=0
hope this helps
Evaluate the Following
Answer:
see explanation
Step-by-step explanation:
cscΘ = [tex]\frac{hypotenuse}{opposite}[/tex] = [tex]\frac{25}{7}[/tex]
secΘ = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{25}{24}[/tex]
cotΘ = [tex]\frac{adjacent}{opposite}[/tex] = [tex]\frac{24}{7}[/tex]