Answer:
2145 cm3
Step-by-step explanation:
Volume is a three-dimensional scalar quantity. The volume of the sphere is 2,145 cm³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere is given by the formula,
[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]
Given that the diameter of the sphere is 16 cm, therefore, the radius of the sphere is 8 cm. Now, the volume of the sphere can be written as,
[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]
[tex]=\dfrac43 \pi r^3\\\\=\dfrac43 \times \pi \times (8)^3\\\\= 2,144.66\ cm^3 \approx 2,145\ cm^3[/tex]
Hence, the volume of the sphere is 2,145 cm³.
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What is the velocity vector for a moving particle with a position vector [tex]r(t)=(t,e^t)[/tex]?
[tex](1,e^t)[/tex]
(t, ln(t))
(t^2)/2, e^t
(2, e^t)
Thanks!!
Answer:
(1, eᵗ)
Step-by-step explanation:
r(t) = (t, eᵗ)
v(t) = dr/dt
v(t) = (1, eᵗ)
Joanie uses 6.4 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Correct question:
Joanie uses 6.4 pints of blue paint and white paint to paint her bedroom walls. ³/₄ of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
The quantity of white paint she used to paint her bedroom walls is 1.6 pints
Step-by-step explanation:
Given;
total quantity of blue paint and white paint used by Joanie = 6.4 pints
she uses ³/₄ of the total quantity of the paints as blue
the remaining fraction as white paint = 1 - ³/₄ = ¹/₄
The fraction of the total quantity of paints that is white paint = ¹/₄
And,
The quantity of white paint she used to paint her bedroom walls = ¹/₄ x 6.4 pints = 1.6 pints
Then, quantity of blue paint she used = ³/₄ x 6.4 = 4.8 pints
Check:
blue paint + white pain = total
4.8 + 1.6 = 6.4 pints
Therefore, the quantity of white paint she used to paint her bedroom walls is 1.6 pints
2. A box contains 6 red marbles, 9 blue marbles and 5 white marbles. The marbles are selected at random, one at a time,
and are not replaced. Find the compound probability
Answer:
?
Step-by-step explanation:
1.add all numbers up.
2. put each number onto a fraction.
3. then the rest you should know
Tamara received a gift card with a $200 balance for her birthday she buy several video games for $45 each write an equation to help find how many video games she brought if she has $20 left on her card
30 POINTS!!
find 10 rational numbers between -2/3 and 2/3
Answer:
Hey! Here is your answer. Hope it helps.
P is a point on the terminal side of θ in standard position. Find the exact value of the six trigonometric functions for θ.
18. P(-3, 2)
19. P(4, -2)
20. P(0, -6)
21. P(-3, -4)
Answer:
see below
Step-by-step explanation:
When you're doing a bunch of these, it is helpful to make a table with reminders as to how they're calculated. That table is shown below.
__
In the attached, we have used ...
r² = x² +y²
√20 = 2√5
√36 = 6
√25 = 5
and 1/(2√5) = √5/10. (The division is outside the radical.)
A paper cup in the shape of a cone has a radius of 6 cm and is 5 cm high. What is the volume of the cup ?
Five men and eight women work in a firm’s PR office. Their employer must choose two of them to attend a conference in Chicago. What is the probability of choosing one woman and one man to attend the conference?
Answer:
P(W∩M)= 20/39= 0.51
Step-by-step explanation:
Hello!
You have a total of 13 employees in the office, 5 are men and 8 are women.
Be the events:
M: The employee is a male
W: the employee is female
If you were to choose only one employee, the probability of the employee being a man will be P(M)= 5/13 and the probability of the employee being a woman will be P(W)= 8/13.
Now you are in a situation where you have to choose two employees at random, without replacement, and need to calculate the probability of choosing one woman and one man. There is no order specified in the question so when choosing the two employees there are two possible scenarios:
"The first employee is a woman and the second employee is a man"
or
"A first employee is a man and the second employee is a woman"
Symbolically:
P(W∩M)= P((W₁∩M₂)∪(M₁∩W₂))= (P(W₁∩M₂))+P(P(M₁∩W₂))
The subindex marks the order the events appeared.
Remember "and" in the sentence marks the intersection between two events "∩" and "or" mark the union between two events "∪"
First I'll solve both intersections:
P(W₁∩M₂)= P(W₁) * P(M₂)= (8/13) * (5/12)= 10/39
As I said before, this exercise is without replacement, so the first person chosen will be out of the 13 employees of the office, but when choosing the second one the total number of employees will be reduced by one (you count out the already chosen employee)
P(M₁∩W₂)= P(M₁) * P(W₂)= (5/13)*(8/12)= 10/39
In this item is the same, for the second draft, the total of employees is reduced by one since one male has already been chosen.
⇒ Mathematically both intersections are the same so you can express their union as:
(P(W₁∩M₂))+P(P(M₁∩W₂))= 2* (P(W₁∩M₂))= 2*10/39= 20/39= 0.51
I hope you have a SUPER day!
does someone know the answer
Answer:
even. all circles are in paris
Step-by-step explanation:
all circles are in pairs which means its even. also you can memorize 8 as a even number
How many total atoms are in 3 molecules of CO2 (carbon dioxide)?
Answer:
9
Step-by-step explanation:
there are 3 atoms in one co2 molecule. 3 x 3=9
Answer:
in three molecules of CO2 there are:
3 Carbon Atoms and 6 Oxygen Atoms
If your looking for the atoms in ONE molecule then there is:
One Carbon Atom and Two Oxygen Atoms
Write the following inequality in slope-intercept form. –12x – 2y ≥ –42
Answer:
y ≤ −6x−21
Step-by-step explanation:
-12x – 2y ≥ –42
– 2y ≥ 12x –42
-2(– 2y ≥ 12x –42)
y ≤ −6x−21
really need brainliest!
Answer:
the 5 star is wrong if your doing grad point the awnser is (y is less than or equal to -6x + 21
Step-by-step explanation:
60 + 7.20 + 7.80 please math is so dumb
Answer: 75
Step-by-step explanation: 7.20+7.80=15 then 15+60=75
Please hurry!
Which of the following is true of the values of x and y in the diagram below?
A. y < x
B. y > x
C. y + x = 1
D. y/x = 1
Answer:
y/x = 1
Step-by-step explanation:
sin 45 = cos 45 = y /1 = x/1
so y = x
or y/x =1
Which rule best describes the following pattern?
8, 4, 10, 6, 12, 8, 14, ...
Answer: It decreases by four then go up by six or increase by 6.
Step-by-step explanation:
It shows the alternating increased by 2
It decreases by four then go up by six or increases by 6.
We have given the pattern is
8, 4, 10, 6, 12, 8, 14, ....
We can see that
the first number is 8 and the second is 4
8>4
from 8 to 4 it is decreasing and the 4 to 10 it is increasing and again after 10 it is decreasing a.
What is the meaning of increasing?Increasing means there is a second number is greater than the first number third number is greater than the second number and so on.
There is two pattern
8,10,12,14....
Increasing by 2
4,6,8.....
Increasing by 2
Therefore it shows the alternating increased by 2.
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Two random samples were taken to determine how often people in a community listen to the local radio station each month.
The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.
The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.
Which statements are true? Check all that apply.
A. The second sample is random.
B. The second sample is likely to be more representative of the population.
C. The first sample is likely to be more representative of the population.
D. The second sample will give a better representation because is it larger.
E. The first sample will give a better representation because it is smaller.
F. Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
Answer:
1 2 4 6. Tell me if im wrong.
Step-by-step explanation:
Answer:
yes the answer is 1 2 4 6
Step-by-step explanation:
Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta una sombra de 2,25 metros.
Answer:
La altura de Juan por lo tanto es de 1.6 metros de altura
Step-by-step explanation:
Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:
Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.
Supongamos que x es la altura de juan que tenemos que calcular.
La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:
x= (1.8 metros/2.25 metros)*2
x=1.6 metros
La altura de Juan por lo tanto es de 1.6 metros de altura
How many pennies are equal to 6 dimes?
Answer:
60 pennies
Step-by-step explanation:
Answer:
60 pennies
Step-by-step explanation:
can anyone give me some brainliest please, I need it to move on at least one?
Answer:
sure
Step-by-step explanation:
To be marked as brainiest,you should answer the questions asked by the people.If the answer is more helpful than the another person then the asker will mark your answer as brainliest .
I hope I removed your confusion..
Solve the right triangle. Round decimal answers to the nearest tenth.
С
12
B
9
A
AB=
m
M
I need help
Answer:
15
Step-by-step explanation:
Use the Pytago theorem.
AB^2=AC^2+BC^2
AB^2= 9^2 + 12^2
= 225
AB = [tex]\sqrt225}[/tex]
= 15
I need help the two select choices are reduction and enlargement
Answer:
Reduction; enlargement
Step-by-step explanation:
When the scale factor is between 0 and 1, the figure shrinks, making it a reduction in size. When its greater than 1, the figure grows, enlarging it. If the scale factor is 1, the figure stays the same and doesn't shrink or grow.
Answer:
Answer is below
Step-by-step explanation:
A dilation with a scale factor between 0 and 1 is a reduction, while a dilation with a scale factor greater than 1 is an enlargement.
If you multiply the scale factor by more than 1, the scale factor will increase, causing an enlargement. If you multiply the scale factor by between 0 and 1, the scale factor will decrease, causing a reduction.
Y=X-2
-X+Y=10
A)Parallel
B)neither
C)perpendicular
Answer:]]
The slope of these two linear equations is the same so the would be Parallel.
y = mX + B where m is the slope.
In this case the slope is 1 for both equations.
y = x -2
y = x + 10
They would be exactly 12 units apart too.
Step-by-step explanation:
4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)
Answer:
x = -223/11 = -20.273
Step-by-step explanation:
Step 1 : Simplify: 11/5
Step 2: Simplify 33/5
Step 3 :
Adding fractions which have a common denominator
Step 4: Simplify: 1/2
Step 5 : see below
Step 6 : see below
Pulling out like terms/factors
Step 7 : Simplify: 51/2
Step 8: Simplify: 22/5
Step 10: Simplify: 43/10
Step 9 :
Calculating the Least Common Multiple
Step 11 :
Adding fractions which have a common denominator
Done.
Hope this helps.
FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates their maximum target heart rate using the function f(x) = 0.85(220 – x), where x represents the age of the client. Find the inverse of this function and interpret its meaning in the context of the situation.
Answer:
1). [tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])
2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Step-by-step explanation:
Function representing the maximum heart rate is,
f(x) = 0.85(220 - x)
Here x = age of the client
Equation form of the function will be,
y = 0.85(220 - x)
To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.
x = 0.85(220 - y)
220 - y = [tex]\frac{x}{0.85}[/tex]
y = 220 - [tex]\frac{x}{0.85}[/tex]
Now convert this equation into a function.
[tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])
Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Which of the a-values satisfy the following inequality?
7 + a < 11
Answer:
a < 4
Step-by-step explanation:
7 + a < 11
Subtract 7 from each side
7+a-7 <11-7
a < 4
Answer: a=3
Step-by-step explanation:
What is the quotient of 4 divided 2/3
Answer:
6
Step-by-step explanation:
[tex] \frac{4}{1} \div \frac{2}{3} \\ = \frac{4}{1} \times \frac{3}{2} \\ = \frac{12}{2} \\ = 6[/tex]
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]4 \div \frac{2}{3} \\ \frac{4}{1} \div \frac{2}{3} \\ \frac{4}{1} \times \frac{3}{2} \\ \frac{12}{2} \\ = 6[/tex]
Find the exact value of T Image below
T= (tan(2z)+1)(2 cos(z)-1)/ y^ 2 -x^ 2 , where x = 9 , y = 41 and z = 30 degrees
please explain
Answer:
a) 1/800 or 0.00125
b) i) 0.0013
ii) 0.001
c) 60%
Step-by-step explanation:
T = [tan(2×30)+1][2cos(30)-1] ÷ (y²-x²)
T = (tan60 + 1)(2cos30 - 1) ÷ (41² - 9²)
T = (sqrt(3) + 1)(sqrt(3) - 1) ÷ 1600
T = (3-1)/1600
T = 2/1600
T = 1/800
T = 0.00125
Error: 0.002 - 0.00125
0.00075
%error
0.00075/0.00125 × 100
60%
Can someone help me with question e please ?
Answer:
Step-by-step explanation:
a) The domain is R- all real numbers.
b) The domain is R- all real numbers.
c) we need
[tex]x^{2}-4\neq 0\\x^{2} \neq 4\\x\neq 2\\and\\x\neq -2[/tex]
So the domain is R\{-2, 2}
d)
we need
[tex]x^{2}+x-2\neq 0\\x\neq 1\\and\\x\neq -2[/tex]
So the domain is R\{-2, 1}
e)
we need: x-1>0 or x> 1
So the domain is (1,+∞)
Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
The vector v (-6, 6, -5) points in the direction of itself, so we start there.
We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.
The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is
r (t ) = p + t v
r (t ) = (-4, 5, 2) + t (-6, 6, -5)
r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )
To get the parametric equations, simply take out the components:
x (t ) = -4 - 6t
y (t ) = 5 + 6t
z (t ) = 2 - 5t
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer:
The answer is sandy
Step-by-step explanation:
18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon
hope this helped <3
The legs of a right triangle are 6 feet and 8 feet long. What is the area of
the triangle?
Answer:
24 ...mm
Step-by-step explanation:
mark me brainliest
Answer:
24 feet
Step-by-step explanation:
The area of a triangle is worked out by
Base x height x 1/2
8 x 6 = 48
48/2= 24
Hope that helped :)