Answer:
[tex]10000m^{3}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular prism.The swimming pool takes the shape of a rectangular prism, and we are required to find the volume of the pool.
Given data
length l = 100m
width w= 25m
depth/height h= 4m
We know that the expression for the volume of a rectangular prism is
[tex]volume= length*width*height\\[/tex]
substituting our given data we have
[tex]volume = 100*25*4\\volume= 10000m^{3}[/tex]
Hence the volume of water that can fill the pool is [tex]10000m^{3}[/tex]
Shannon drove 240 miles. Which expression shows the miles per gallon obtained by her car if she used g gallons of gas
on the trip?
OA. 240 + g
OB. 240 + g
OC. 240 - 8
OD 240 x g
Answer:
The answer is, D = 240 /
I did the test and got a 100
A bag contains 4 red, 2 blue, 6 green, and 8 white marbels. Round anwsers to the nearest tenth. What is the probibility of selecting a green marble, replacing it, and then selecting a red marble. Answers: 6.3% 6.0% 4.5% 4.7%
Answer:6.3% 6.0% 4.5% 4.7%
Step-by-step explanation:
OK THIS IS THE LASTT ONE!!!
Select the correct answer. Segment KL is a diameter of circle Q. Circle Q is represented by the equation (x − 11)2 + (y + 15)2 = 7. What is KL? A. B. C. D.
Answer:
2√7
Step-by-step explanation:
Mathematically, the equation of a circle can be represented by;
(x-h)^2 + (y-k)^2 = r^2
where (h,k) = center and r = radius
Applying this to the question, we can see that the length of the radius of the circle is √7
The diameter is always twice the radius
Thus, the diameter KL = 2 * √7 = 2√7
Un grupo de amigos toman un refresco cada uno y deben pagar 9 € por el total de las consumiciones. Como hay dos que solo pueden poner 1 €, los demás deben aumentar su aportación en 0,25 € cada uno. ¿Cuántos amigos son?
Answer:
6 friends (4 pay € 1.75 and 2 pay € 1)
Step-by-step explanation:
We have to:
x = friends
y = payment
x * y = 9
y = 9 / x
It follows from the problem:
(x-2) * (y + 0.25) = 9 - 2
(x-2) * (9 / x + 0.25) = 7
x * 9 / x + 0.25 * x - 2 * 9 / x - 2 * 0.25 = 7
9 + 0.25 * x - 18 / x - 0.5 = 7
multiply by 100
100 * 0.25 * x - 100 * 18 / x + 100 * (9 - 0.5 - 7) = 0
25 * x - 1800 / x + 150 = 0
multiply by x
25 * x ^ 2 + 150 * x - 1800 = 0
we factor:
(x - 6) * (x + 12) = 0
x = 6
x = -12
The positive value is taken: x = 6
Each one had to pay = 9/6 = € 1.5
But as two pay € 1, 4 will pay € 0.25 more: 1.5 +0.25 = € 1.75
Thus :
(4 * 1.75) +2 (1) = € 9
Therefore, they are 6 friends (4 pay € 1.75 and 2 pay € 1)
What is the length of arc S shown below?
units
S
0.4
5
Answer:
Length of arc S:
L = radius x angle (in rad) = 5 x 0.4 = 2
Hope this helps!
:)
***I NEED HELP ASAP***
***Please show all the steps***
***I will mark brainliest***
Answer:
First on is 0.75
Second is 22/52 (not sure about this one though)
Step-by-step explanation:
For the first one:
P(aUb) = p(a) + p(b) - p(a^b)
0.6 = 0.4 + 0.5 - p(a^b)
p(a^b) = 0.3
P(a/b)= p(a^b)/p(a)
P(a/b)= 0.3/0.4
P(a/b)= 0.75
For the second one:
Total of the cards are 52
Diamonds are 13 out of that 52
Face cards are 12 out of that 52
Diamond OR face cards means p(aUb)
And that equals p(a)+p(b)-p(a^b)
p(a^b) means the intersection between the two, there are three common cards between diamonds and face cards, so p(a^b)=3
13/52 + 12/52 - 3/52= 22/52
PLZZ ANSWER CORRECTLYTHIS IS GOING TO BE GRADED!!!!
PLZ WHEN U R DOING THE PROBLEMS,PICK FROM THE CHOICES IT GIVES U!!!!!!
Answer:
That's my best answer.
Step-by-step explanation:
So for number 1 it says the total amount of wrapping paper. You should just find the surface area. I'll send a screenshot.
Para eleição do grêmio estudantil existem 5 cargos. Presidente, vice presidente, diretor, vice diretor e tesoureiro. A chapa ganhadora tem 5 pessoas: Alessandra, Bárbara, Carla, Denise e Elvira. De quantas maneiras diferentes as cinco pode ocupar os cargos do grêmio estudantil? *
Answer:
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Step-by-step explanation:
We want to arrange n people in n positions.
Since the number of objects(in this case, the people) is the same as the number of positions(in this case, the roles), we use the arrangments formula.
Arrangments formula:
The total number of possible arrangents of n elements is:
[tex]A_{n} = n![/tex]
In this question:
5 students, so
[tex]A_{5} = 5! = 120[/tex]
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 8 ) (5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis. Use exact numbers.
The equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7
The standard equation of a line in slope-intercept form is expressed as
y = mx+b
m is the slope of the line
b is the y-intercept
Given the coordinate points (2, 1) and (5, 8)
Get the slope of the line:
[tex]m=\frac{-8-1}{5-2} \\m=\frac{-9}{3}\\m=-3[/tex]
Get the y-intercept
Recall that y = mx + b
1 = -3(2) + b
1 = -6 + b
b = 1 + 6
b = 7
Get the required equation of the line.
y = -3x + 7
Hence the equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7
Learn more equation of lines here: https://brainly.com/question/17003809
How many solutions does this equation have?
–n − 5 = –n
Answer:
0
Step-by-step explanation:
-n+n-5 = 0
-5 = 0
Answer:
no solutions
Step-by-step explanation:
–n − 5 = –n
Add n to each side
–n+n − 5 = –n+n
-5 = 0
This is never true so there are no solutions
What is the volume of the rectangular prism shown? Please answer ASAP
I got it in decimal 18.05 estimated
How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4
Answer:
D. 4
Step-by-step explanation:
If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.
I hope this helped and have a good rest of your day!
A flagpole casts a shadow that is 30 feet long A sign Post near the flagpole is 4 feet tall and cast a shadow that is 6 feet long how tall is the flagpole
Answer:
20 ft
Step-by-step explanation:
Given;
Length of flagpole shadow = 30 ft
Sign post height = 4 ft
Length of sign post shadow = 6 ft
Since the two objects are close to each other (the same location)
The height and shadow length of the two objects follows the same ratio, just like similar triangles;
Using the Ratio or similar triangles Formula;
height of flagpole/flagpole shadow length = height of sign post/ sign post shadow length
Substituting the values;
h/30 = 4/6
h = 4/6 × 30 = 20 ft
Flagpole height = 20 ft
The boxes below are two similar solids. Find the value of the missing dimensions and support your answer. YOU MUST SELECT 2 ANSWERS
A) b=9
B) b=18
C) h=9
D) h=18
Answer:
b is 9 and h is 18
Step-by-step explanation:
because its times 1.5 for each one so like 5 times 1.5 is 7.5 so we can see that it is times by 1.5
Answer:
A) b = 9
D) h = 18
Step-by-step explanation:
b/6 = 7.5/5 = h/12
b/6 = 1.5
b = 9
1.5 = h/12
h = 18
Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers
Answer: 29
Step-by-step explanation:
3x2= 6
4x2=8
3x5=15
6+8+15= 29
hoped I helped you a bit! Good luck! :)
Which of the following is a statistical question?
A.
What are the weights of the students in Kaycee's reading class?
B.
What is Kaycee's weight?
C.
How many students are in Kaycee's reading class?
D.
How many students know how much they weigh?
Answer:A
Step-by-step explanation:
What amount to the nearest cent will an account have after 6 years is $175 is invested at 8% interest compounded continuously
Answer:
$281.02
Step-by-step explanation:
P=$175
r=8%=0.08
t=6 years
n=12
A=p(1+r/n)^nt
=175(1+0.08/12)^12×6
=175(1+0.0066)^72
=175(1.0066)^72
=175(1.6058)
=$281.015
Approximately $281.02
Which expression represents the volume of a rectangular prism that is not occupied by the cylinder.
Answer:
The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.
Step-by-step explanation:
In order to calculate the volume of the rectangular prism that is not occupied by the cylinder we need to calculate the total volume of the rectangular prism and subtract it by the volume of the cylinder. We have:
Rectangular prism:
Volume prism = length*height*width
Volume prism = 15*h*10 = 150*h
Cylinder:
Volume cylinder = pi*r²*h = pi*5²*h = 25*pi*h
The volume of the prism that is not occupied by the cylinder is:
volume not occupied = volume prism - volume cylinder
volume not occupied = 150*h - 25*pi*h = (150 - 25*pi)*h
The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.
Which of the following is the graph of y = cosine (2 (x + pi))?
On a coordinate plane, a curve crosses the y-axis at (0, negative 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at pi.
On a coordinate plane, a curve crosses the y-axis at (0, negative 1). It has a minimum of negative 1 and a maximum of 1. It goes through 1 cycle at pi.
On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 1 cycle at 4 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi.
Which is the graph of the given function?Here we have the function:
y = cos(2*(x + pi))
First, let's distribute the product in the argument of the cosine:
y = cos(2x + 2pi).
Now, notice that 2pi is the period of a cosine function, then:
cos(2x) = cos(2x + 2pi)
Then we can write:
y = cos(2x)
Now, the y-intercept is:
y = cos(2*0) = 1
And because the factor of 2 inside the argument, it goes through 2 cycle at 2pi (instead of 1 cycle, like a normal cosine).
Then the correct option is:
"On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi."
If you want to learn more about cosine functions, you can read:
https://brainly.com/question/8120556
Answer:
D
Step-by-step explanation:
Because i said so.
Kevin works for a company that manufactures solar panels. In a large batch of solar panels, about 1 in 200 is defective. Suppose that Kevin selects a random sample of six solar panels from this batch. What is the probability that none of the solar panels are defective?
Answer:
probability that none of the solar panels are defective = 0.97
Step-by-step explanation:
Proportion of solar panels that are defective, p = 1/200 = 0.005
Proportion of solar panels that are not defective, q = 1 - p = 1 - 0.005
q = 0.995
Sample size, n = 6
probability that none of the solar panels are defective, P(X=0)
Note: [tex]P(X=r) = nCr p^{r} q^{n-r}[/tex]
[tex]P(X=0) = 6C0 * 0.005^{0} * 0.995^{6-0}\\P(X=0) = 6C0 * 0.005^{0} * 0.995^{6}\\P(X=0) = 1 * 1 * 0.9704\\P(X=0) = 0.97[/tex]
Answer: 0.983
Step-by-step explanation:
4.16×10^−5 divided by 8.0×10^−4 in scientific notation
Answer: 13/250 or 0.052
Step-by-step explanation:
4.16 (1/100000)/ 8 (10^-4)
Then keep doing order of operations and dividing down.
Answer:
5.2*10^-2
Step-by-step explanation:
Mr. and mrs. Hawell want to file their income tax return together. Which filing status should they use?
Answer:
The one that ends with jointly!
Step-by-step explanation:
Answer:
B. Married filing jointly
Step-by-step explanation:
What is the value of x?
Answer: x = 9, y = 5
Step-by-step explanation:
If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.
set the equation equal to 60 to solve for x
7x - 3 = 60
add three to both sides
7x = 63
divide both sides by 7
x = 9
find y by setting the equation equal to 60
11y + 5 = 60
subtract 5 from each side
11y = 55
divide both sides by 11
y = 5
The zeros of the function : f(x)=x² - 2x +3 are *
Answer:
There are no solutions.
Step-by-step explanation:
When you use the quadratic formula, you’ll find a square root of a negative integer, and that’s not a real number.
A cylinder and a cone are shown below. A cylinder with height 12 inches and volume 2,512 inches cubed. A cone with height 12 inches and volume 1,256 inches cubed. Which explains whether the bases of the cylinder and the cone have the same area? The bases have the same area because the heights are the same. The bases have the same area because the volume of the cone is One-half the volume of the cylinder. The bases do not have the same area because the volumes are not the same. The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Answer:
It should be d, The bases do not have the same area because the volumes are not the same.
Step-by-step explanation:
did it on the unit review test
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
How to find the volume of a cone?The volume of a cone is given by the formula:
A = πr²h/3
How to find the volume of a cylinder?The volume of a cylinder is given by the formula:
A = πr²h
It is given that the height of both the cylinder and the cone is the same.
This means that the only way variable that influences the volume is the radius of the base.
The volume of the cylinder is three times the volume of the cone when the radius and height are equal.
But the volume of the cylinder is two times the volume of the cone in the given question.
This means that they have different radii which means that the bases are different.
Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.
Learn more about cylinders and cones here: https://brainly.com/question/331787
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A farmer is comparing the number of eggs laid by two hens. The first hen laid 7 eggs per week for x weeks. The second hen laid 8 eggs per week for y weeks. The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen. Write an inequality showing this relationship
Answer:
7x ≥ 8y
Step-by-step explanation:
The first hen laid 7 eggs per week for x weeks. 7x
The second hen laid 8 eggs per week for y weeks. 8y
The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.
7x ≥ 8y
The inequality representing the total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen is 7x ≥ 8y.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, A farmer is comparing the number of eggs laid by two hens.
The first hen laid 7 eggs per week for x weeks which is equal to 7x.
The second hen laid 8 eggs per week for y weeks which is 8y.
Also given that the total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.
Therefore the inequality that represents this situation is,
7x ≥ 8y.
learn more about inequalities here :
https://brainly.com/question/28823603
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What percent is 45 out of 72?
Answer:
62.5%
Step-by-step explanation:
Answer:
62.5
Step-by-step explanation:
45/72 =
45 ÷ 72 =
0.625 =
0.625 × 100/100 =
0.625 × 100% =
(0.625 × 100)% =
62.5%;
x – 4x < 5x + 16 solve for x
Answer:
x>-2
Step-by-step explanation:
x-4x<5x+16
Subtract 5x from both sides:
x-4x-5x<16
Combine like terms:
-8x<16
Divide both sides by 8:
-x<2
Divide both sides by -1:
x>-2
Hope this helps!
Alexa has 2 hours of reading to complete over the weekend. She wants to break up her reading time into 1/2 hour blocks. How many times will she read over the weekend?
All we need to do is divide the amount of hours she needs to read by the time she wants to read each time.
1/2 = 0.5
Divide.
2 / 0.5 = 4
Therefore, Alexa will read 4 times over the weekend.
Best of Luck!
Answer:
4 times
Step-by-step explanation:
1 / 2 = 0.5
2 / 0.5 = 4
