Answer:
Volume = 282.6 ft.²
Step-by-step explanation:
Volume: V = πr²h
Step 1: The answer needs to be in cubic feet, so convert all units to feet
1. 3 ft./12 in. = 0.25 ft.
Step 2: Subtract 0.5 ft from 6.5 ft to find the actual diameter of the pipe that the water will be passing through
2. 6.5 ft. - 0.5 ft. = 6 ft.
Step 3: Plug 3 ft. (radius), 3.14 for π, and 5 ft for h
3. V = (3.14)(3 ft.)²(5 ft.)
Step 4: Solve for the V (volume)
4. V = (3.14)(9 ft.)(5 ft.) → V = (28.26)(5) → V = (28.26)(5) → V = 141.3 ft.²
Step 5: Divide 141.3 by 2, since we want half the capacity
5. 141.3 ft.²/2 = 70.65 ft.²
Step 6: Multiply 70.65 by 4 since we want the total volume of water passing through four pipes
6. 70.65 ft.² ∙ 4 = 282.6 ft.²
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Answer:
Step-by-step explanation:
Montraie has 1 1/2 cups of yogurt to make smoothies. Each smoothie uses cup of 3/4 yogurt. How many smoothies can Montraie make with the yogurt?
Montraie can make 2 cups of smoothies with the yogurt
How to determine the number of smoothies in the yogurtFrom the question, we have the following parameters that can be used in our computation:
Cups of yogurt = 1 1/2
Each smoothie = 3/4 yogurt
Assume there exist a proportional relationship between the cups and the yogurt
The number of smoothies in the yogurt can be calculated using the following equation
Smoothies = (1 1/2)/(3/4)
Evaluate the quotient
Smoothies = 2
Hence, the cups is 2 yogurt
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Solve the equation 8 −7/10 c = 6−1/5 c for c. please show how you got it
Answer:
the answer is 0.5
Step-by-step explanation:
Find the Banzhaf power distribution of the weighted voting system
[30: 17,15,13,1]
Give each player's power as a fraction or decimal value
p₁ ____
p₂ ____
p₃ ____
p₄ ____
These are the possible combination of winning players:
{P1, P2}( weight :32) {P1, P2, P4} (weight: 31)
{P1, P2, P3} (weight: 45) {P1, P2, P3, P4} (weight: 46)
{P1, P3, P4} (weight: 31) {P1, P3} (weight: 30)
What is the distribution?
The mathematical expression known as a distribution function expresses the likelihood that a system would adopt a certain value or range of values. The traditional examples include games of chance.
The voting system tells us that the quota is 30, that Player 1 has 17 votes (or equivalently, has a weight of 17), Player 2 has 15 votes, Player 3 has 13 votes, and Player 4 has 1 votes.
A coalition is any group of one or more players. What we're looking for is winning coalitions - coalitions whose combined votes (weights) add to up to the quota or more. So the coalition {P3, P4} is not a winning coalition because the combined weight is 13 + 1 = 14, which is below the quota.
So we look at each possible combination of players and identify the winning ones:
{P1, P2}( weight :32) {P1, P2, P4} (weight: 31)
{P1, P2, P3} (weight: 45) {P1, P2, P3, P4} (weight: 46)
{P1, P3, P4} (weight: 31) {P1, P3} (weight: 30)
Hence, these are the possible combination of winning players.
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Please helppp its worth 10
Answer: Choose 15 and 20
Step-by-step explanation:
Both 15 and 20 will work because if you subtract 8 from both, you will get 7 and 12 and both numbers are still greater than 5.
Find a polynomial f(x) of degree 5 that has the following zeros.
-2, 3, 7, 0, 4
Leave answer in factored form
The polynomial f(x) of degree 5 that has the following zeros is
f(x) = (x+2) (x-3) (x-7)(x-0) (x-4).
What is meant by polynomial?Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an expression made up of variables, constants, and exponents. In many branches of mathematics and science, polynomials are used. For instance, they are used to define polynomial functions, which show up in settings ranging from basic chemistry and physics to economics and social science. They are also used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to form these functions.
The function's zeros are expressed as follows:
f(x) = (x-a)(x-b)..... where the a, b are the zeros
f(x) = (x-(-2)) (x-3) (x -7)(x-0) ( x-4)
f(x) = (x+2) (x-3) (x-7)(x-0) (x-4)
Therefore, the polynomial f(x) of degree 5 that has the following zeros is
f(x) = (x+2) (x-3) (x-7)(x-0) (x-4)
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Negative and zero exponents 36 x¹⁵y²⁰/ 12 x³y⁵=
The negative and zero exponents of the given exponents will be 3 x¹⁵y²⁰ × x⁻³y⁻⁵z⁰.
What is the law of indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
The mathematics of power or exponent of any number is called indices.
For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.
Another example could be 7² = 7³/7 here we divide to obtain power 2.
As per the given,
36 x¹⁵y²⁰/ 12 x³y⁵ = [(36/12) (x¹⁵y²⁰)/(x³y⁵)]
36 x¹⁵y²⁰/ 12 x³y⁵ = 3x¹⁵y²⁰ × x⁻³y⁻⁵z⁰
Hence "The negative and zero exponents of the given exponents will be 3 x¹⁵y²⁰ × x⁻³y⁻⁵z⁰".
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Function f is an exponential function
By what factor does the output value increase as each input value increases by 1?
Answer:
4
Step-by-step explanation:
You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.
FactorLet k represent the factor by which f(x) increases when x increases by 1. This means ...
f(2) = k·f(1)
f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)
64 = k²·4
k² = 64/4 = 16
k = √16 = 4
The output value increases by a factor of 4 as the input value increases by 1.
__
Additional comment
The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.
How do you solve 3x2-5(-2)
Answer:
Step-by-step explanation:
you do the math
Answer:
16
Step-by-step explanation:
I'm solving this question according to PEMDAS.
3x2-5(-2)
3x2+10
6+10
16
Could you please give me brainliest for this? Thanks!
Which equation is perpendicular to y = 2/3 x - 4?
a. y = -3/2 x + 4
b. y= 2/3 x - 4
c. y = -2/3 x + 4
d. y = 3/2 x - 4
Answer:
Your answer is A) [tex]y=-\frac{3}{2}x-4[/tex]
Step-by-step explanation:
This is because the slope of a perpendicular line is a negative reciprocal in relation to the original line. In this example, [tex]\frac{2}{3}[/tex] is flipped to [tex]-\frac{3}{2}[/tex]
In order to accumulate enough money for a down payment on a house, a couple deposits $406 per month into an account paying 3% compounded monthly. If payments are made at the end of each period, how much money will be in the account in 6 years?
In 6 years, the couple will have $32,916.38 in the account.
Evaluate each expression if w = 2, x = 3, y = 5, and z = 6.
1. 2w
2. y + 5
4. x+ w
7. y²
5. 3+ 4z
8. y - x
Fvaluate each evnreccion if m
n
3.9-2
6. 6y-5
Nov 30
Kyla finished a 100 meter race in one and three-eighths minutes. The winner of the raced finished in one-third of Kyla's time.
How many minutes did it take for the winner of the race to finish?
eight thirty-thirds
eleven twenty-fourths
one and three twenty-fourths
one and four-elevenths
11/24 many minutes did it take for the winner of the race to finish.
What is Fraction?A fraction represents a part of a whole.
Given,
Kyla finished a 100 meter race in one and three-eighths minutes.
Kylas time is [tex]1\frac{3}{8}[/tex] minutes.
Convert mixed fraction to improper fraction.
11/8 minutes.
The winner of the raced finished in one-third of Kyla's time.
Which means 1/3 of 11/8
1/3×11/8
11/24
Hence, 11/24 many minutes did it take for the winner of the race to finish.
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HELP THANKS SO MUCH!!!!!!
Answer:
.62 each
Step-by-step explanation:
A recipe for a trail mix calls for 6 cups of Chex mix and 8 cups of pretzels how many cups of pretzels are needed to make 112 cups of trail mix
Answer:3/2
Step-by-step explanation: so you have the number of cups of Chex Mix in the bag is 3x = 3*9 = 27 cups and the number of cups of chocolate chips is 2x = 2*9 = 18 cups. Indeed, we see that 27 + 18 = 45 and 27/18 = 3/2 as required.
(x+1)+(x+4)+(x+7)+...+(x+40)=442
The value of the unknown variable x in the given sequence is; 14
What is the sum of the Arithmetic Sequence?
The formula for sum of an arithmetic sequence is;
Sₙ =ⁿ/₂(2a + (n − 1)d)
where;
a is first term
d is common difference
n is position of term
We are given the sequence as;
(x + 1) + (x + 4) + (x + 7) +...+ (x + 40) = 442
The common difference is;
x + 4 - (x + 1)
= 3
Now, to get the number of terms, we will say that the function follows the pattern;
aₙ = (x + 1) + 3n
Thus;
(x + 1) + 3n = x + 40
3n = 39
n = 13
Thus, there are n = 13 terms
Sₙ = ¹³/₂(2(x + 1) + (14 − 1)3) = 442
6.5(2x + 40) = 442
2x + 40 = 442/6.5
2x = 68 - 40
x = 28/2
x = 14
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Find the slope of the line that passes through all of the points
on the table.
X
2
7
12
17
y
2
-3
-8
-13
Only need the answer
Answer:
Step-by-step explanation:
so first you need to find the slope
you can draw the line on a graph and use a protractor
final answer=46 degrees
Answer:-5/-19
the answer is -5/-19 and can not be simplify
David was at the
airport for 2 hours.
He spent 45 minutes of
that time waiting in
the security line.
What percentage of
time did he spend in
the security line?
Answer:
37.5%
Step-by-step explanation:
2 hours = 120 mins
(Units need to be the same in order to work with them)
45/120 = x/100
45 * 100 = 120x
x= 37.5%
The cleaning service charges $15 per hour. Mr. Henrickson is hiring the cleaning service but does not want to spend more that $75. What is the maximum number of hours that he can hire the cleaning service? Write an inequality and solve.
The maximum number of hours that he can hire the cleaning service would be 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Consider that the number of hours for which the total cost would be the same be x
The first inequality is;
$15x > $75
Now equate equations
$15x - $75 = 0
15x = 75
x = 5
Hence, the maximum number of hours that he can hire the cleaning service would be 5.
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4) The trapezoid I'J'K'L' is a dilation of the trapezoid IJKL. What is the scale factor of the
dilation?
I
-10 -8 -6 -4
I'
~
104
8
6
4
2
2
-4
-6
-8
L'
L
J'
K'
4
6
J
K
10
10
4) Simplify your answer and write it as a proper fraction, an improper fraction, or a whole
number.
Answer:4
Step-by-step explanation:
16/4=4
The scale factor of the dilation is, 1/4.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The trapezoid I'J'K'L' is a dilation of the trapezoid IJKL.
Here, The length of IJ = 16
And, The length of I'J' = 4
Hence, The scale factor of the dilation is,
⇒ I'J' / IJ = 4 / 16
= 1/4
Thus, The scale factor of the dilation is, 1/4.
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What is the product of a number and 18
Answer:
18n
Step-by-step explanation:
Product : Multiplication result
number : n
18 : 18
of a number and 18 : n*18
The product of a number and 18 is n*18, or 18n.
Find the perimeter of the figure below
A. 44m
B. 48m
C. 52m
D. 46m
E. 50m
Perimeter equals ______________ meters
Answer: 50
Step-by-step explanation:
10+15+6+4+6+11= 50
Edit=
We can see that the length of one side is 10, and the width of one is 15. For the other side of the width, we can subtract 4 from 15 to get 11. For the other length, we can subtract 6 from 10 to get four. We also have to add in the 6 and 4 because they are parts of the border. (10+15+11+4+6+4)
Hello can someone please help me out? Thank you so much I’ll give brainly :)
Answer:
Step-by-step explanation:
the answer is a 28.27
Answer:
a) 28.27
Step-by-step explanation:
Formula we use,
→ πr²
Now the required area will be,
→ 3.14 × 3²
→ 3.14 × 9
→ 28.27 in²
Hence, the area is 28.27 in².
what is the raito 40 to 18
Answer:
20:9
Step-by-step explanation:
Here we will simplify the ratio to 40:18 for you and show you how we did it.
To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:
20:9
Find the value of X that makes m n
The value of x is 6 degree that makes m || n.
What is parallel lines?
Parallel lines are coplanar, straight lines in geometry that don't cross at any point. When two planes in the same three-dimensional space are parallel, they never cross. Curves that maintain a set minimum distance from one another and do not touch or intersect are said to be parallel curves.
(8) Given: m || n
We have to find the value of x that makes m || n.
The lines m and n are divides by the line l of angle 90 degree.
⇒ 16x - 6 = 90
Add 6 on both sides,
16x - 6 = 90 + 6
16x = 96
Divide both sides by 16
16x/16 = 96/16
x = 6
Hence, the value of x is 6 degree that makes m || n.
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PLEASE HELP ASAP! I WILL GIVE BRAINLIEST!!!!!
Jack bought a tree to plant in his front yard. The tree grows at an approximate rate of 9 inches per year. After 4 years, the tree is 5 feet tall. Write an equation in slope-intercept form to find the height (in feet) of the tree, y, after x years. Then, find the number of years it will take the tree to reach 20 feet
The equation in slope-intercept form to find the height is y = 0.75x + 5 and the number of years it will take the tree to reach 20 feet is 24
The linear equation to find the height (in feet) of the treeThe given parameters in the question are
Growth = 9 inches per year
Length of the tree after 4 years = 5 feet
Convert inches to feet
So, we have
Growth = 0.75 feet per year
A linear equation of this scenario is represented as
Length = Growth * Number of years + Initial length
So, we have
y = Growth * x + Initial length
This gives
5 = 0.75 * 4 + Initial length
Evaluate
Initial length = 2
So, the equation is
y = 0.75x + 2
The number of years it will take the tree to reach 20 feetThis means that
y = 20
Recall that
y = 0.75x + 2
So, we have
0.75x + 2 = 20
Evaluate
0.75x = 18
Divide by 0.75
x = 24
Hence, the number of years is 24
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A population of lizards in a large region doubles every year. The number of lizards can be
modeled by the equation y = 500 * 2 ^ x where
× is the number of vears after a researcher
measures the population size . When x = - 3
-3what does the value of y represent ?
The value of y when the value of x is -3 for the equation,y = 500×2ˣ will be y=62.5.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the given equation of is, y = 500×2ˣ
We have to find the value of y when x = - 3.
y = 500×2ˣ
y=500×2⁻³
y=62.5
Thus, the value of y when the value of x is -3 for the equation,y = 500×2ˣ will be y=62.5.
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Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, and swims at 2.5 mph. Yesterday, he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
what distance did stanley swim run and bike
PLEASE HELP
The time did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles is 1.5 hrs, 1 hrs, 3 hrs. The distance is 13.5 miles, 2.5 miles , 48 miles.
How to find the distance and time?Let t represent the time he ran
Let t -.5 represent time he swam
Let 2t represent the biking time
Hence,
9t + 2.5(t-.5) + 16(2t) = 64
9t + 2.5t - 1.25 + 32t = 64
Collect like terms
43.5t = 64 + 1.25
Divide both side by 43.5t
t = 65.25/43.5
t = 1.5 hrs (Time he ran)
So,
Time he swam
t -.5 where t is 1.5 hrs
1.5-.5 = 1 hr (Time he swam)
Biking time
2t where t is 1.5 hrs
2(1.5) = 3 hrs (biking time)
Distance of each
1.5(9) = 13.5 miles (running)
1(2.5) = 2.5 miles (swimming)
3(16) = 48 miles (biking)
Total distance = 13.5 miles + 2.5 miles + 48 miles
Total distance = 64 miles
Therefore the time is 1.5 hrs, 1 hrs, 3 hrs and the distance is 13.5 miles, 2.5 miles , 48 miles.
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Is the system of equations consistent and independent, consistent and dependent, or inconsistent?
y=−3x+12y=−6x+2
Select the correct answer from the drop-down menu.
consistent and independent
The system of equation is consistent and independent because it has one unique solution.
How to solve system of equation?If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent.
Therefore, let's solve the equation,
y = -3x + 12
y = -6x + 2
Using substitution,
-6x + 2 = -3x + 12
-6x + 3x = 12 - 2
-3x = 10
x = - 10 / 3
y = -6(-10 / 3) + 2
y = 60 / 3 + 2
y = 20 + 2
y = 2
Therefore, the system of equation is consistent and independent.
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A survey was given to a random sample of 80 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 52 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
With a 95 percent confidence interval, the proportion of people who favor the tax plan is 0.546 ,0.755
How to solve for the intervalThe value of n is the random sample n = 80
we have x as the number of people surveyed, = 52 respondents
Then p = x / n
p = 52 / 80
p = 0.65
From the z critical table, 95% confidence level = 1.96
we would have to use the confidence interval formula. This is given as:
[tex]p +- Z * \sqrt{\frac{p*(1-p)}{n} }[/tex]
we have to put in the values
[tex]0.65 +- 1.96 * \sqrt{\frac{0.65*(1-0.65)}{80} }[/tex]
0.65 ± 1.96 * 0.053326822
0.65 - 0.10452 , 0.65 + 0.10452
0.546 ,0.755
Therefore the proportion of persons that are in favor of this tax has been calculated as 0.546 ,0.755
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