The percent of container B that is left after pumping the water of Container A full in it is 40 per cent .
Step by step explanation :
Given -
Two containers ( Container A & Container B ) in shape of cylinders.Diameter of Container A = 6 feetHeight of Container A = 18 feet Diameter of container B = 8 feet Height of Container B = 17 feetTo find -
The percent of container B that is left after pumping the water of Container A full in it.
Solution -
Firstly, we have to find how much water each container can hold i.e. volume of containers .
We know that -
[tex] \boxed{ \mathfrak \purple{volume \: of \:cylinder = \pi {r}^{2} h} }[/tex]where, r is the radius of the cylinder & h is the height of the cylinder.
Now,
For Container A
Given, diameter = 6 feet
.•. Radius = [tex] \frac{6}{2} [/tex]
[tex] = 3 \: \mathfrak{feet}[/tex]
Height = 18 feet
•.• Volume of Container A = [tex] \frac{22}{7} \times {3}^{2} \times 18[/tex]
[tex] = \frac{22}{7} \times 3 \times 3 \times 18[/tex]
[tex] = \frac{3564}{7} [/tex]
[tex] = 509.142857 \:{ft.}^{3} \mathfrak{(approximately)}[/tex]
Rounding off to the nearest tenth . ..
[tex] => 510 \: \mathfrak{ {feet}^{3} }[/tex]
For Container B
Given, Diameter = 8 feet
.•. Radius = [tex] \frac{8}{2} [/tex]
[tex] = 4 \: \mathfrak{feet}[/tex]
Height = 17 feet
•.• Volume of Container B = [tex] \frac{22}{7} \times {4}^{2} \times 17[/tex]
[tex] = \frac{22}{7} \times 4 \times 4 \times 17[/tex]
[tex] = \frac{5984}{7} [/tex]
[tex] = 854.857143 \: {ft.}^{3} \mathfrak{(approximately)}[/tex]
Rounding off to the nearest tenth. ..
[tex] => 850 \: \mathfrak{ {feet}^{3} }[/tex]
Now,
Volume container B that is left after pumping the water of Container A in it = Volume of Container B - Volume of Container A
= ( 850 - 510 ) ft^3
= 340 ft^3
Now ,
The percent of container B that is left after pumping the water of Container A in it = Volume container B that is left after pumping the water of Container A /Total volume of Container B × 100
[tex] = \frac{340}{850} \times 100[/tex]
[tex] = \boxed{ 40 \: \%}[/tex]Work out the value of 5^8 x 5^-2/5^4
Answer:
This is how i arrived at an answer 25
find the period pls help asap
To find the period
⇒ let's define what the period is
Definition of Period: the interval of time between successive occurrences of the same state in an oscillatory or cyclic phenomenon
Based on the definition:
⇒it states that we must look for how long it takes the function to
complete one cycle of repetition
In this graph: it takes [tex]\pi /2[/tex] to complete one period or one cycle of repitition
Answer: [tex]\frac{\pi }{2}[/tex]
Hope that helps!
Quadrilateral ABCD is cyclic. Identify what the missing angle measures must be.
Check the picture below.
what is the difference between greatest common factor and least common multiple?
Answer:
The greatest common factor (GCF) is the largest number that is a factor of two or more numbers, and the least common multiple (LCM) is the smallest number that is a multiple of two or more numbers.
A random sample of banana tree yields has a sample mean of x=67 banana and sample standard deviation of s= 2 bananas. Use the empirical rule to estimate the percentage of banana yields that are less than 61 bananas. Round your answer to the nearest hundredth.
Using empirical rule, 99.85% of the data falls above 61
Data;
Mean = 67standard deviation = 3Empirical RuleUsing empirical rule, it states that 68% of data is within 1 standard deviation from the mean mean± standard deviation 95% of data falls within 2 standard deviations from the mean mean± 2* standard deviation and 99.7% of data falls within 3 standard deviations from the mean mean± 3sd . So we can say that 0.15% of data are below mean minus 3 * standard deviation and 0.15% of data are above mean+3sd. In this case, the mean is 67 , SD = 3.
And if 61 is 3×SD below mean
[tex]Pr(X > 61)=1-Pr(X\leq 61) = 1 - 0.0015 = 0.9985\\1-0.0015=0.9985[/tex]
99.85% of data is above 61
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two sides of a parallelogram are 5.8m and 8.2m long. Find the perimeter
Answer:
5.8+5.8+8.2+8.2=28m
Step-by-step explanation:
If you want to find the PERIMETER you just need to add up the length of all of the sides. No multiplication needed. Just add the numbers. Don’t forget that there are multiple sides so even though only two are labeled dont forget to add every single side that the shape has.
What is the slope of the line that contains these points?
x
39 40 41
42
y
36
29 22 15
Answer:
-7
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
__
Using the first two points from your list, we find the slope to be ...
m = (29 -36)/(40-39) = -7/1 = -7
The slope of the line is -7.
kinda confusing problem given by my teacher:
What is the total discount percent as compared to the original price, if trousers are discounted by 12% and then a further 20% discount is given and new price is $281.6. (answer like this xx.x)
Answer:
Below
Step-by-step explanation:
281.6x20%= 56.32
281.6+56.31=337.91
337.91x12%=40.55
337.91+40.55=378.46
A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0506 Do these sample results provide strong evidence against that belief?
Construct a 95% confidence interval estimate of the proportion of boys in all births.
Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:
[tex]n = 864, \pi = \frac{426}{864} = 0.493[/tex]
Then, the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526[/tex]
The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Geometry is so confusing to me, i don’t get how to figure out angles and measurements. I have read my instructors over and over again and I still don’t understand
Answer:
reference attached
Step-by-step explanation:
hope it helps you <3Answer:
It's ok. Math can be really difficult, but don't give up and you'll understand.
To begin, this is a transversal. A transversal is a set of parallel lines that have a third line intersecting them.
In the photo below, you can see the original angle given and it is 35°. On the same line directly across from it is an angle that is also 35°. This follows the rule of vertical angles, which are angles produced by the same two lines. It also states that they are congruent.
You'll also see that the angle next to the original angle is 145°. This follows the rule of supplementary angles, which states that two angles that are on the same straight line will equal 180° when added together.
The angle opposite to that is 145°, which can be proven by vertical angles.
Through a method called corresponding angles, we can see that the original angle is corresponding with the angle below it.
Then you would repeat the process for the top.
Hope this helps!
HELP ASAP
FIRST GET BRAINIEST
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the last net, it's the only one with a rectangle and 4 triangels
Answer:
D
Step-by-step explanation:
Again all it takes is for you to image wat the shape would fold into.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
Happy to help! :)
A triangle has sides with lengths of 6 yards, 10 yards, and 12 yards. Is it a right triangle?
yes
no
Submit
Is this adjacent, vertical, linear, or complimentary?
Adjacent angles share a common side. Think of two neighboring adjacent apartments that share a common wall.
A 100g apple is placed on a table. What is the force in newtons of the apple on the table?
Answer:
1N
Step-by-step explanation:
Assuming acceleration of gravity=10m/s²
Force=100/1000kg×10m/s²=1N
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answer:
The only true statement is :
The graph of the function is a parabola
Step-by-step explanation:
f(x) = x² – 5x + 12
Option 1: The value of f(–10) = 82
Reason : f(-10) = (-10)² – 5(-10) + 12 = 100 + 50 + 12 = 162 ≠ 82
Option 2: The graph of the function is a parabola [tex]\huge\checkmark[/tex]
Option 3: The graph of the function opens down
Reason : the coefficient of x² is 1 ,which is a positive number then the graph opens up.
Option 4: The graph contains the point (20, –8)
Reason : f(20) = 312 ≠ -8
Option 5: The graph contains the point (0, 0)
Reason : f(0) = 12 ≠ -8
Answer:
ABC
Step-by-step explanation:
A 10-page play is $0.70 per page to e
dit. How much will I have to pay you to net this amount on Up Work? Please include the UpWork fee in your calculation. (Also, please use digits only, plus decimal and S-sign where necessary. No need for words.)
Answer:
The answer of this question is 7
Step-by-step explanation:
because 1 page=$0.70 and now calculate
10×1×0.70=7
To edit 10-page play you have to pay $7.
What is unitary method?"It is the method of finding the value of a single unit, and based on that value we can find the required value."
For given question,
A play is of 10 pages.
It charges $0.70 per page to edit.
So, to edit 10-page play the cost would be,
10 × $0.70 = $7.0
Therefore, to edit 10-page play you have to pay $7.
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Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils. Without looking, Carlos pulls out 22 pencils. If the pencils were distributed randomly in the bin, how many pencils of each color is it most likely that he picked?
A. 8 red, 7 green, 7 blue
B. 10 red, 7 green, 5 blue
C. 10 red, 8 green, 4 blue
D. 11 red, 6 green, 5 blue
E. 12 red, 6 green, 4 blue
Answer:
E. 12 red, 6 green, 4 blue
Step-by-step explanation:
To find the number of colored pencils for each color, we must find ratios.
480 red: 240 green: 160 blue
Then we divide them to the simplest ratios.
We divide all the numbers by 80.
6 red: 3 green: 2 blue
There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.
12 red: 6 green: 4 blue
The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.
Without looking, Carlos pulls out 22 pencils.
The pencils were distributed randomly in the bin.
To find the numbers of pencils of each color:
First, we will find the ratio.
Red : Green : Blue
= 480 : 240 : 160
We will factor out the common factor,
= 12: 6: 4
Therefore, 12 red, 6 green, 4 blue are the pencils of each color.
To learn more about the ratio;
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Find the missing side of the right triangle. Leave answer in
simplest radical form.
If the legs of a right triangle are 6 and 8, then the hypotenuse
is____
A.40
B.30
C.20
D.10
Graphs of the following equations are straight lines EXCEPT
A 3x + 2y = 8
B
y = x/2 - 5
С
X = 4y
Dy=x2 + 3
As per linear equation, option-A and option-B are the equations of straight line.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Given equations are:
A. [tex]3x + 2y = 8[/tex]
It is an equation of a straight line as it matches the standard form of a linear equation.
B. [tex]y = \frac{x}{2} - 5[/tex]
This is also an equation of a straight line as it matches the standard form of a linear equation.
C. [tex]y = x^{2} + 3[/tex]
It is not an equation of a straight line as it does not match the standard form of a linear equation.
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Which persons dues are cheaper per month? explain. (please help)
Answer:
Claire
Step-by-step explanation:
Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many
number solutions does the equation have?
real
Discriminant = b2-4ac
O 0
O 1
O 2
O 12
Number of solution for the given quadratic equation as Discriminant=0 is equals to 1.
What is quadratic equation?" Quadratic equation is defined as the polynomial containing variables with highest exponent equals to 2."
Formula used
For quadratic equation
[tex]ax^{2} +bx+c=0[/tex]
Discriminant = b²-4ac
According to the question,
Given quadratic equation
[tex]-3 = x^{2} +4x+1[/tex]
⇒[tex]x^{2} +4x+1 +3 =0[/tex]
⇒[tex]x^{2} +4x+4 =0[/tex]
Here, a=1 , b= 4 , c =4
Substitute the value in the formula we get,
Discriminant = [tex]4^{2} - 4(1)(4)[/tex]
= [tex]16 -16[/tex]
= 0
Number of solution discriminant =0 is 1.
[tex]x^{2} +4x+4 =0[/tex]
⇒[tex](x+2)^{2} =0[/tex]
⇒[tex]x= -2[/tex] has unique solution.
Hence, number of solution for the given quadratic equation as Discriminant=0 is equals to 1.
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what is the area of this circle to the nearest hundredths place
Answer:
Step-by-step explanation:
It would be about 3.14 as since it is only 1 inch pi is multiplyed by one and when rounding pi to the hundreths you get 3.14 hope this helps
solve for x ~
[tex]{x {}^{2} - 4x = 0}[/tex]
★ list all the possible values ~
thankyou ~
Answer:
x = 0,4
Step-by-step explanation:
Given
x² - 4x = 0Simplifying
Take x to be a common factor so we'll have 2 factors⇒ x(x - 4) = 0⇒ x = 0 and x = 4⇒ x = 0,4Answer:
All values of x are 0 and 4 .Step-by-step explanation:
In this question we have given an equation that is x² - 4x = 0 and we have asked to find all the possible values of x . So finding our answer ,
[tex] \longmapsto \: x {}^{2} - 4x = 0[/tex]
Step 1 : We are taking x common :
[tex] \longmapsto \: x(x - 4) = 0[/tex]
Step 2 : That means :
[tex] \longmapsto \:x = 0 \: and \: (x - 4) = 0[/tex]
Step 3 : Finding value of x for x - 4 :
[tex] \longmapsto \:x = 4[/tex]
[tex] \pink{ \boxed{ \sf{Therefore , \: value \: of \: x \: are \: 0 \: and \: 4 }}}[/tex]
#Keep LearningFor which values of x is the expression undefined
Answer:
x = ±1
Step-by-step explanation:
x² - 1 = 0
x² = 1
x = ±1
I hope this helps!
Please Help i need a professional no scam answers that have been happening i need to get allot done bye friday
Answer:
39%
Step-by-step explanation:
21/125=.168
33/125=.264
.432-.044352=.387648*100=39%
Round your answer to the nearest hundredth. Please help!!
[tex]\tan \angle B = \dfrac{AC}{BC} \\\\\implies \angle B = \tan^{-1} \left(\dfrac{AC}{BC} \right) = \tan^{-1}\left(\dfrac 56 \right)=39.81^{\circ}[/tex]
What is the 6th term in this sequence? 1, 3, 9, 27, . . .
Answer:
a₆ = 243
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3
this indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = 3 , then
a₆ = 1 × [tex]3^{5}[/tex] = 243
243
Solution:We have a geometric sequence here, meaning that we use multiplication/division in order to get to the next term.In this case, we multiply each term by 3.1 times 3 is 3, 3 times 3 is 9, 9 times 3 is 27...In order to find the sixth term, we should take the fifth term and multiply it by 3.In order to find the fifth term, we need to take the fourth term and multiply it by 3.Multiply:81So the fifth term of this sequence is 81.Now, multiply 81 times 3:243Therefore, the sixth term in this sequence is equal to 243.Hope it helps.
Do comment if you have any query.
a) Patty Stacey deposits $2600 at the end of each of 5 years in an IRA. If she leaves the money that has accumulated in the IRA account for 25 additional years, how much is in her account at the end of the 30-year period? Assume an interest rate of 10%, compounded annually. (Round your answer to the nearest cent.)
$
(b) Suppose that Patty's husband delays starting an IRA for the first 10 years he works but then makes $2600 deposits at the end of each of the next 15 years. If the interest rate is 10%, compounded annually, and if he leaves the money in his account for 5 additional years, how much will be in his account at the end of the 30-year period? (Round your answer to the nearest cent.)
$
(c) Does Patty or her husband have more IRA money?
Answer:
From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.
Step-by-step explanation:
:)
Solve the following equation
X = 2x+8/x
Answer:
2i*sqrt(2), -2i*sqrt(2).
Step-by-step explanation:
x=2x+8/x
x-2x=8/x
-x=8/x
8=-x(x)
8=-x^2
8-(-x^2)=0
8+x^2=0
x^2+8=0
x=2i*sqrt(2), -2i*sqrt(2).
Step-by-step explanation:
[tex]x = \frac{2x + 8}{x} [/tex]
[tex] {x}^{2} = 2x + 8[/tex]
[tex] {x}^{2} - 2x - 8 = 0[/tex]
[tex](x - 4)(x + 2) = 0[/tex]
[tex]x = 4[/tex]
or
[tex]x = - 2[/tex]
What is three multiples of 6
Answer:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Step-by-step explanation: