The volume of the sphere with a radius of 12 units is approximately 7238.23 cubic units.
What is a sphere?A sphere is a three-dimensional shape that is perfectly round and symmetrical in all directions.
It is a type of geometric figure that is defined by a set of points in space that are equidistant from a central point.
We have,
The formula for the volume of a sphere is:
V = (4/3)πr³
where r is the radius of the sphere and π (pi) is a constant approximately equal to 3.14.
Substituting the value of the radius, we get:
V = (4/3)π(12)³
V = (4/3)π(1728)
V = 2,304π
V ≈ 7238.23 cubic units (rounded to two decimal places)
Therefore,
The volume of the sphere with a radius of 12 units is approximately 7238.23 cubic units.
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a train travels 1445/2km in 7/2 hr .the speed of the train in km/hr is ________.
Answer:
206.428km/hr
Step-by-step explanation:
a train travels 1445/2km in7/2 hr
the speed of the train in km/hr
=1445/2km/7/2 hr=(1445×2)/(2×7)=206.428km/hr
Help me what is the total volume I’ll mark brainliest!
Answer:
600 ft
Step-by-step explanation:
Mark as brainilest
And I'm only 80% sure that is the correct
Simplify fully 4xy2/8xy
1/2y
that's all, hdejshbdjesj
Answer:y/2
Step-by-step explanation:
4xy^2/8xy
y/2
x will be cancelled with x and y in denominator with one y in neumenator so one y in neumenator is left and 4/8 is 1/2 so that's all
Solve the equation 2a + 4 = 14
Answer:
2a+4=14
2a=14-4
2a=10
a=10/2
a=5
have a nice day
#Captainpower
Answer:
hi
Step-by-step explanation:
2a+4=14
2a=14-4
2a=10
a=10/2
a=5
have a nice day
The cost of a pair of shoes fell from $66 to $54.
What was the percentage change?
Answer:
18.18%
Step-by-step explanation:
66 - 54 = $12
% change - 12/66 * 100
simplify - 12/66 --> 2/11
2/11 * 100
200/11
18.18%
At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, the angle of elevation to the top is °.
Answer:
[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]
Step-by-step explanation:
Incomplete question:
[tex]\angle CBD = 53^\circ[/tex]
[tex]\angle CAB = 35^\circ[/tex]
[tex]AB = 75[/tex]
See attachment for complete question
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
[tex]\angle ABC + \angle CBD = 180[/tex] --- angle on a straight line
[tex]\angle ABC + 53= 180[/tex]
Collect like terms
[tex]\angle ABC =- 53+ 180[/tex]
[tex]\angle ABC =127^\circ[/tex]
[tex]\angle ABC + \angle ACB + \angle CAB = 180[/tex] --- angles in a triangle
[tex]\angle ACB + 127 + 35 = 180[/tex]
Collect like terms
[tex]\angle ACB =- 127 - 35 + 180[/tex]
[tex]\angle ACB =18[/tex]
Apply sine rule
[tex]\frac{\sin A}{a} = \frac{\sin B}{b}[/tex]
In this case:
[tex]\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}[/tex]
This gives:
[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]
Step-by-step explanation:
sin18
∘
)
=
x
(sin35
∘
)
Step-by-step explanation:
Incomplete question:
\angle CBD = 53^\circ∠CBD=53
∘
\angle CAB = 35^\circ∠CAB=35
∘
AB = 75AB=75
See attachment for complete question
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
\angle ABC + \angle CBD = 180∠ABC+∠CBD=180 --- angle on a straight line
\angle ABC + 53= 180∠ABC+53=180
Collect like terms
\angle ABC =- 53+ 180∠ABC=−53+180
\angle ABC =127^\circ∠ABC=127
∘
\angle ABC + \angle ACB + \angle CAB = 180∠ABC+∠ACB+∠CAB=180 --- angles in a triangle
\angle ACB + 127 + 35 = 180∠ACB+127+35=180
Collect like terms
\angle ACB =- 127 - 35 + 180∠ACB=−127−35+180
\angle ACB =18∠ACB=18
Apply sine rule
\frac{\sin A}{a} = \frac{\sin B}{b}
a
sinA
=
b
sinB
In this case:
\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}
AB
sinACB
=
x
sinCAB
This gives:
\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}
75
(sin18
∘
)
=
x
(sin35
∘
)
can someone help me plsss
100 = 36 + x^2
64 = x^2
x = 8
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
a) red
b) red
c) the blue one is y=1/2x+1
Step-by-step explanation:
The side length of an isosceles right triangle is 7x + 3 feet. (both base and height are 7x + 3 feet).
then written in standard form, what is the area of the triangle? (area of triangle = 1/2bh)
What is the area of the triangle in cubic feet when x = 11?
Answer:
21
Step-by-step explanation:
because they all sum up together
HI! I am back with another question! Here it is: b/6=3
b=?
If someone could be so kind enough to answer, that would be great. Thank you!
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N \: \: E \: Q\: U \: A \: T\: I \: O \: N}}}} : [/tex]
[tex] \large\frac{b}{6} = 3[/tex]❀ [tex] \underline{ \underline{ \large{ \tt{ \: T \: O \: \: F \: I\: N \: D}}} }: [/tex]
Value of b☃ [tex] \underline{ \underline {\large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]
☂ [tex] \large{ \tt{ \frac{b}{6} = 3}}[/tex]
~Apply cross product property :
⇢ [tex] \large{ \tt{b \times 1 = 3 \times 6}}[/tex]
⇢ [tex] \large{ \tt{b = \boxed{ \large{ \tt{18}}}}}[/tex]
☪ [tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \underline{ \boxed{ \bold{ \tt{b = 18}}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ♕
☄Let me know if you have any questions regarding my answer! ツ
☞ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}} [/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
a
19 = 548 and a
33 = 968
Find a
27
Answer:
The value of a₂₇ is 788
Step-by-step explanation:
a₁₉ = 548
a₃₃ = 968
Now,
a₁₉ = 548 can be written as
a + 18d = 548 ...(1) and
a₃₃ = 968 can be written as
a + 32d = 968 ...(2)
Now, from equation (2) we get,
a + 32d = 968
a + 18d + 14d = 968
548 + 14d = 968 (.°. a + 18d = 548)
14d = 968 - 548
14d = 420
d = 420 ÷ 14
d = 30
Now, for the value of a put the value of d = 30 in equation (1)
a + 18d = 548
a + 18(30) = 548
a + 540 = 548
a = 548 - 540
a = 8
Now, For a₂₇
a₂₇ = a + 26d
a₂₇ = 8 + 26(30)
a₂₇ = 8 + 780
a₂₇ = 788
Thus, The value of a₂₇ is 788
-TheUnknownScientist
find the volume of the pyramid
Answer:
133.3m³
Step-by-step explanation:
Volume of pyramid=lwh/3
=10×8×5/3
=400/3
=133.3m³
Hopefully this helped :D
A recipe calls for 125 cups of sugar. If jasmine wants to make 13 of the recipe, how many cups of sugar will she need?
Answer: 1625
Step-by-step explanation: So if you want to make 13 of one recipe it said that in 1 recipe there's 125 cups of sugar so you need to multiply 123 by 13 so do this 125 x 13 = 1625 and then there, you have your answer 1,625 cups of sugar for 13 things of the recipe.
write the word sentence as a equation. Then solve the equation 13 subtracted from a number w is 15
(Please help)
Rewrite the following questions to make them a statistical question.
1. Can I do a cartwheel?
2. How many pets do I have?
3. What is my favorite movie?
4. How tall am I?
5. What is my bedtime on a school night?
Answer:
1. How many students at the play ground can do a cartwheel
2. How many pets so the kids in my class have
3. What are the students in my schools favorite movie
4. How tall are the people in the store
5. What is the bedtime of the students in my class on a school night
Step-by-step explanation:
A statistical question is a question that varies in answers. Like if you ask how tall am I, you will get only one answer. But if you ask how tall are the people in the store the answers will vary.
Hope this helped :)
9000+300+100times 6divided by 800
Answer:
9300.75
Step-by-step explanation:
9000 + 300 + 100 * 6 / 800
According to Order Of Operations, we multiply and divide first.
9000 + 300 + 600 / 800
Divide.
9000 + 300 + 0.75
Add.
9300 + 0.75
Add.
9300.75.
Answer:
9,000+300+100×6÷800=9,300.75
Step-by-step explanation:
pls mark me brainless
Mike baked 8 dozen cookies and has given 3 1/3 dozen to be sold. How many cookies does he have left? Explain how you would find this answer.
6 2/3
Break down how to get the answer 6 2/3
A zoologist selected 12 black bears in a Canadian habitat at random to examine the relationship between the age in years, x, and the weight in tens of pounds, y. The 95 percent confidence interval for estimating the population slope of the linear regression line predicting weight in tens of pounds based on the age in years is given by 1.272 + 0.570. Assume that the conditions for inference for the slope of the regression equation are met. Which of the following is the correct interpretation of the interval?
A. We are 95 percent confident that the mean increase in the weight of a black bear for each one-year increase in the age of the bear is between 7.0 and 18.4 pounds.
B. We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.
C. We are 95 percent confident that for every one-year increase in the age of black bears in the sample, the average increase in the weights of those black bears is between 7.0 and 18.4 pounds.
D. We are 95 percent confident that the mean increase in the age of a black bear for each one-pound increase in the weight of the black bear is between 7.0 and 18.4 years.
E. We are 95 percent confident that any sample of 12 black bears will produce a slope of the regression line between 7.0 and 18.4.
Answer:
A
We are 95 percent confident that the mean increase in the weight of a black bear for each one-year increase in the age of the bear is between 7.0 and 18.4 pounds.
Step-by-step explanation:
The 95 confidence interval given by 1.272±0.570, or (0.702,1.842), estimates the relationship between weight in tens of pounds and age in years. So we are 95 percent confident that the mean increase in the weight of a black bear will be between 7.0 and 18.4 pounds for each one-year increase in the age of the bear.
The correct interpretation of the provided confidence interval is given by:
Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.
How to interpret confidence interval?Suppose the confidence interval at P% for some parameter's values is given by [tex]x \pm y[/tex]
That means, that parameter's estimated value is P% probable to lie in the interval [tex][x - y, x + y][/tex]
For this case, the regression line predicts weight in tens of pounds based on the age in years.
The 95% confidence interval for that prediction is given to be: [tex]1.272 \pm 0.570[/tex]
That means, the predicted value of weight of a black bear (in tens of pounds) when one year age is incremented is 95% probable to lie in the interval [tex][1.272 - 0.57, 1.272 + 0.57] \approx [0.7, 1.84][/tex]
That is for weight in tens of pounds. Converting it to pounds gives us the interval [tex][7.0, 18.4][/tex] approx.
Note the words "prediction", and "of a bear".
That makes us conclude that:
Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.
(focus on the "will result in" phrase. It is taking similar to prediction thing. Since we're taking about regression line which tries to fit line for prediction of future output values for input values, thus, we chose second option.)
Thus, the correct interpretation of the provided confidence interval is given by:
Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.
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How are quadratic functions different and similar from linear and exponential functions?
include comparison with rate of change, shape of the graph, and the exponent of the equation
Answer:
Una función se puede representar de
diferentes modos: mediante una ecuación,
en una tabla, con una gráfica o con
palabras.
Consideraremos los tipos principales de
funciones que se presentan en el cálculo y
describiremos el proceso de usarlas como
modelos matemáticos del mundo real-.
Step-by-step explanation:
Answer:
Quadratic functions look like a U. Increase exponentially to the right decrease exponentially to the left. Exponents on variables
Linear functions are straight and increase arithmetically. No exponents on variables.
Exponential functions increase exponentially in one direction. Looks like an L. X is the exponent.
Step-by-step explanation:
A student needs to fill with 9 liters of water. How many 1/3 liters of water will it take to fill the tank?
Answer: 27 times. 1/3 litres is 9 litres
Step-by-step: divide 9 by 1/3 litres , 9:(1/3) = 9·3
Peyton has a number cube and a
coin. What is the probabiltiy that he
will roll a prime number and flip tails?
(ANSWER IN PERCENT
Answer:
Hello Darling! Answer: 14%
Step-by-step explanation:
Now I'm not always accurate, I can re-check myself if you think it isn't right! c;
Can someone please help me with these couple of questions!
Step-by-step explanation:
#44 y = 180-122 = 58
x = (180-58)/2 = 61
whats the answer for y=-[tex]\frac{2}{3}[/tex]x+4 and y=[tex]\frac{1}{3}[/tex]x-2
Step-by-step explanation:
[tex]y = -\frac{2}{3}x + 4[/tex]
[tex]y = \frac{1}{3}x - 2[/tex]
Since both equations are set equal to [tex]y[/tex], we can take the right-hand side of each equation and set them equal to each other to solve for [tex]x[/tex]:
[tex]-\frac{2}{3}x + 4 = \frac{1}{3}x - 2[/tex]
[tex]-\frac{2}{3}x - \frac{1}{3}x = -2 - 4[/tex]
[tex]-x = -6[/tex]
[tex]x = 6[/tex]
Now we can plug this value into either equation to solve for [tex]y[/tex]:
[tex]y = \frac{1}{3}x - 2[/tex]
[tex]y = \frac{1}{3}(6) - 2[/tex]
[tex]y = 2 - 2[/tex]
[tex]y = 0[/tex]
So the solution to the system of equations is [tex](6, 0)[/tex]
Write an equation of the line shown with point-slope form.
Given:
The line passes through the points (2,0) and (4,3).
To find:
The point-slope form of the given line.
Solution:
The point slop form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope and [tex](x_1,y_1)[/tex] is the point.
The line passes through the points (2,0) and (4,3). So, the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-0}{4-2}[/tex]
[tex]m=\dfrac{3}{2}[/tex]
The slope of the line is [tex]m=\dfrac{3}{2}[/tex] and the point is (4,3). So, the point slope form of the given graphed line is:
[tex]y-3=\dfrac{3}{2}(x-4)[/tex]
Therefore, the point slope form of the given line is [tex]y-3=\dfrac{3}{2}(x-4)[/tex].
50 Points pls i need help is due in a couple mins
Answer:
I know how to do it but i can't do it in a couple minutes sorry :(
Step-by-step explanation:
Write an example of a Counter Variable
in python code
Answer:
printf(“%d”, i++);
Step-by-step explanation:
Answer:
count += 1
OR
count = count + 1
Step-by-step explanation:
count = 0
numbers = int(input("Enter a number: "))
while number > 0:
number = number // 10
count +=1
print("Total number of digits", count)
A soccer ball on the ground is kicked with an initial velocity of 37 feet per second at an elevation angle of 70°. Which parametric equations represent the path of the soccer ball?
A: x(t) = 37cos(70o)t and y(t) = –16t2 + 37sin(70o)t
B: x(t) = 37sin(70o)t and y(t) = –16t2 + 37cos(70o)t
C: x(t) = 37cos(70o)t and y(t) = –16t2 + sin(70o)t + 37
D: x(t) = 37sin(70o)t and y(t) = –16t2 + cos(70o)t + 37
Answer: It’s A
Step-by-step explanation: Got it right on the quiz edg2021
The parametric equations represent the path of the soccer ball is
[tex]x = 37cos(70)t[/tex] and [tex]y = 37sin(70)t - 16t^{2}[/tex]
What is projectile motion?Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory.
projection motion formula :
Position at time t
x = ([tex]v_{0}[/tex] cosθ)t
y = ([tex]v_{0}[/tex] sinθ)t – 1/2 g[tex]t^{2}[/tex]
According to the question
A soccer ball on the ground is kicked
initial velocity ([tex]v_{0}[/tex])= 37 feet per second
elevation angle = 70°
using projection motion formula :
Position at time t
g = 9.8 m/[tex]sec^{2}[/tex] = 32 ft/[tex]sec^{2}[/tex]
x = ([tex]v_{0}[/tex] cosθ)t
[tex]y = v_{0} sin[/tex]θ[tex]t[/tex][tex]-\frac{1}{2} gt^{2}[/tex]
substituting the value [tex]v_{0}= 37[/tex] and θ = 70 degrees in the above formula
[tex]x = 37cos(70)t[/tex]
[tex]y= 37sin(70)t -\frac{1}{2} ( 32)t^{2}[/tex]
[tex]y = 37sin(70)t - 16t^{2}[/tex]
Hence, the parametric equations represent the path of the soccer ball is
[tex]x = 37cos(70)t[/tex] and
[tex]y = 37sin(70)t - 16t^{2}[/tex]
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Describe how you can find the number of solutions of two or more
equations by using the slope and the y-intercept. Use vocabulary terms in
your description.
Answer:
Suppose we have a system of two linear equations, this can be written as:
y = a*x + b
y = c*x + d
Now, we have 3 possible cases here.
The solutions of the system are the points where the graphs of the linear equations do intersect.
Then, if for example, we have two parallel lines (two parallel lines never intersect) we have no solutions.
And we know that two lines are parallel if they have the same slope and different y-intercept.
Then the system:
y = a*x + b
y = a*x + c
has no solutions.
If we have both equal lines, then the lines intersect in infinitely many points, meaning that we have infinite solutions, then the system:
y = a*x + b
y = a*x +b
has infinite solutions.
And if the lines intersect only one time we have one solution, and this happens when the slopes are different, so the system:
y = a*x + b
y = c*x + d
has only one solution.
Now, if we have more equations:
y = a*x + b
y = c*x + d
y = k*x + n
We have more equations than variables, then this system only has one solution of the 3 lines intersect at the same point, which is really rare.
One case where we have a solution here is if the 3 equations have the same y-intercept:
y = a*x + b
y = c*x + b
y = d*x + b
where the solution is the point (0, b)
Of course, there are other possible solutions, but these are not as formulaic as this ones.
Gary can raise his credit score by ________.
A
never borrowing money
B
keeping his debt above 30% of his credit card limit
C
cutting up his credit card
D
paying his bills on time
Answer:
B keeping his debt above 30% of his credit card limit.
What is the value of k divided by 3 to get an answer of twenty-nine?
Answer:
k = 87
Step-by-step explanation:
Given
[tex]\frac{k}{3}[/tex] = 29 ( multiply both sides by 3 to clear the fraction )
k = 87
Answer:
87
Step-by-step explanation: