[tex]\large\textsf{\textbf{Answer\::}}[/tex]
Please consult the "calculations" section of this ans .
[tex]\large\textsf{\textbf{Calculations\::}}[/tex]
If y varies directly with x , the equation looks like this :
y=kx , where k is the constant of proportionality
Plug in the values :
8=k/12
Multiply times 12 on both sides :
96=k
So the constant of proportionality is 96 .
Now solve for y when x is 18 as follows :
y=96/18
y≈5.33
[tex]\footnotesize\texttt{hope\:helpful~}[/tex]
Find the value of x in each triangle. . X= 60° 60° x°
Answer:
60 degrees
Step-by-step explanation:
Triangle = 180 degrees
60+60+X=180
120+X=180
X=60
F(x, y, z) = yzi 9xzj exyk, c is the circle x2 y2 = 9, z = 1
The value of curlF.dS is 72π if the F(x, y, z) = yzi 9xzj exyk, c is the circle x2 y2 = 9, z = 1
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have:
[tex]\rm F(x, y, z) = yzi+ 9xzj+ e^{xy}k[/tex]
And curl is x²+y²= 9 and z =1
In the parametric form:
[tex]\rm \vec{r}(t) = 3cost \vec{i}+3sint \vec{j}+\vec{k}[/tex] 0 ≤ t ≤ 2π
First two component represent the circle and last one represent the z =1
Using Stoke's theorem:
[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = \int\limits_C {\vec{F}} \, .d\vec{r } = \int\limits^{2\pi}_0 {\fec{F}(\vec{r}(t)).\vec(r)t} \, dt[/tex]
Here:
[tex]\rm \vec{F}(\vec{r}(t)) = 3sint \vec{i}+27cost \vec{j}+e^{cost.sint}\vec{k}[/tex]
Now calculate the dot product of curl F and dS we get:
[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = \int\limits^{2\pi}_0 (-9sin^2t+81cos^2t)dt[/tex]
After solving the above integral, we will get:
[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = 72\pi[/tex]
Thus, the value of curlF.dS is 72π if the F(x, y, z) = yzi 9xzj exyk, c is the circle x2 y2 = 9, z = 1
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Dion flips a coin 20 times and records if it comes up heads. if getting heads is a success, what is the probability of a success on each roll? 0.2 0.3 0.5 1.00
The probability of a success on each roll of the coin that is filipped by Dion is 0.5.
What is the probability?Probability is the likelihood that a stated event would occur. The odds the event occurs is 1 and the odds that the event does not happen is 0. If a coin is flipped, there is 50% chance of getting either a head or a tail.
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Answer:
its c
Step-by-step explanation:
.5 on edge! just took the test
please solve for me. please be right
Answer:
It would be 60
Step-by-step explanation:
So 3(3*5 + 5) so 3*5 would be 15, 15+5=20, and 20*3=60
This is really simple if you can't figure this out, you might as well go back to 1st grade and below
pls try before asking
An employee of a store's gift wrapping center is wrapping 8 gifts
same size box. The dimensions of the box are shown to the right
A Find the volume of the box to see how much space is available to place
packages. Show your work
B. How much wrapping paper is needed to wrap ONE box? Show your
work
If there is only 160 square feet of wrapping paper left, will the employee
be able to wrap all of the gifts? Explain.
The area A of a rectangle is A = bh, where b is the base of the rectangle and h is the height. The area of each rectangle with side lengths 1.5 ft and 2 ft is 1.5 × 2 = 3ft2. Since there are two rectangles with these dimensions, the combined area is 2 × 3 = 6 ft2. The area of each rectangle with side lengths 1.5 ft and 2.5 ft is 1.5 × 2.5 = 3.75 ft2. The area of each rectangle with side lengths 2 ft and 2.5 ft is 2 × 2.5 = 5 ft2. Since there are two rectangles of each type, the combined area is 2 × 3.75 + 2 × 5 =17.5 ft2. So, the total surface area of the box is 6 ft2+ 17.5 ft2 = 23.5 ft2
Part B:
The employee needs to wrap 8 boxes, each with a surface area of 23.5 ft2. So, the combined surface area needing to be wrapped is 8 × 23.5 = 188 ft2. Since there is only 160 square feet of wrapping paper left, the employee will not be able to wrap all of the gifts
Question
One hundred grams of radium are stored in a container. The amount R (in grams) of radium present after t years can be modeled by R=100e−0.00043t. After how many years will only 5 grams of radium be present? Round your answer to the nearest whole year.
It will take about ??
years for only 5 grams of radium to be present.
The number of years it would take for radium to be 5 grams is 6967 years.
After how many years will only 5 grams of radium be present?
The formula that is used to represent continuous compounding or continuous decay is:
FV = A x [tex]e^{-t}[/tex] x N
Where:
A= amounte = 2.7182818N = number of yearsr = interest rate5 = 100 x e^−0.00043 x t.
In order to determine the value of t, take the following steps:
Divide both sides by 100
5/100 = e^−0.00043 x t.
Then take the In of both sides
= 6967 years
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Which of the following is NOT equivalent to 16?
A:22 × 22
B:42
C:4(22)
D:(4 × 2)2
Answer:
D.(4x2)^2 = 64 not 16
Can someone help me on this i am stuck on it thanks
Answer:
36
Step-by-step explanation:
Given:
A kitchen shop sells bowls in sizes small, medium and large.Draw a Venn diagram with 3 intersecting circles. Label each circle:
S = small bowlsM = medium bowlsL = large bowls----------------------------------------------------------------------------------------------
Given:
5 people bought all three sizes of bowl.Enter "5" in the central overlapping section of the Venn diagram.
----------------------------------------------------------------------------------------------
Given:
7 people bought a small bowl and a large bowl.We know that 5 people bought all 3 bowls, so to find the number who bought a small and large bowl (but not a medium bowl):
⇒ 7 - 5 = 2
Enter "2" in the section S and L but not M.
----------------------------------------------------------------------------------------------
Given:
In total, 27 people bought a small bowl, of which 12 also bought a medium bowl.First, calculate the number of people who bought only a small and medium bowl (but not a large bowl). We know that 5 people bought all 3 bowls, so subtract 5 from 12.
Enter "7" in the section S and M but not L
A total of 27 people bought a small bowl, so to find the number who bought a small bowl only (not a medium and/or large bowl), subtract the other found numbers from 27:
⇒ 27 - 5 - 2- 7 = 13
Enter "13" in the S only section.
----------------------------------------------------------------------------------------------
Given:
In total, 66 people bought a medium bowl, of which 15 also bought a large bowl.First, calculate the number of people who bought only a large and medium bowl (but not a small bowl). We know that 5 people bought all 3 bowls, so subtract 5 from 15.
Enter "10" in the section M and L but not S
A total of 66 people bought a medium bowl, so to find the number who bought a medium bowl only, subtract the other found numbers:
⇒ 66 - 5 - 7 - 10 = 44
Enter "44" in the M only section.
----------------------------------------------------------------------------------------------
Given:
On a given day, 100 people each bought at least one bowl from the shop.To find "L only" subtract all the known numbers from 100:
⇒ 100 - 5 - 2 - 7 - 13 - 10 - 44 = 19
Enter "19" into the L only section.
----------------------------------------------------------------------------------------------
Finally, to work out the total number of people that bought a large bowl, add up the numbers in the L circle:
⇒ 2 + 5 + 10 + 19 = 36
b) Work out the value of (2.92 × 106) + (4 × 10¯²) Give your answer in standard form.
Step-by-step explanation:
[tex]3.0956 \times {10}^{2} [/tex]
is correct answer
square root of 3 diveded by the square root of 2
Answer:
1.2 or if you round it is 1
Answer:
1.224744871 or (square root of 6)/2
Step-by-step explanation:
the price of an item has been reduced by 20%. the origianal price was 76
Answer:
$60.8
Step-by-step explanation:
Twenty percent of 76 is,
→ 20% of 76
→ (20/100) × 76
→ 1520/100
→ [ $15.2 ]
The reduced price of the item is,
→ 76 - 15.2
→ [ $60.8 ]
Hence, the price is $60.8.
could i get help pleaseeeee
aboustouly tell me ur problem
Which expression is equivalent to 5 sqrt 32x5y10z15?
The expression equivalent to 5 sqrt 32x5y10z15 is 2xy2z3
If the right triangle's dimensions are enlarged by 3 units, the new height would be *blank* units. Just write the numerical answer.
Answer
5
Step-by-step explanation:
there are already 2 units in height therefore 2 plus 3 is 5
What is the sum of 7 1/12 + 8 1/12 + 3 1/12?
Answer:
8,064 I'm sure that's is answerSolve this proportion:
Answer:
4
Step-by-step explanation:
14 is 2/3 of 21
6 x 2/3
4
help me please please
Use the given values of n and p to find the minimum usual value μ- 20 and the maximum usual value μ+20. Round your answer to the nearest hundredth unless otherwise noted.
n=713, p= 4/5
Answer:
μ - 2σ = 549.04μ + 2σ = 591.76Step-by-step explanation:
Given the parameters of binomial distribution
n = 713, p = 4/5We need to find the mean μ and the standard deviation σ to calculate required values
Follow the steps below1. Find the mean
μ = n·p = 713*(4/5) = 570.42. Find the variance
σ² = np(1 - p) = 713*(4/5)*(1 - 4/5) = 114.083. Find the standard deviation
σ = √114.08 = 10.68 (rounded)Find the minimum usual value
μ - 2σ = 570.4 - 2*10.68 = 549.04Find the maximum usual value
μ + 2σ = 570.4 + 2*10.68 = 591.76Answer:
Min:549.04; Max:591.76
Step-by-step explanation:
a 3. A card is pulled from a standard deck of cards.
Can you find P(queen or hearts)? (make sure you aren't double counting!!!)l
Explanation:
There are 13 hearts, including the queen of hearts. Then there are 3 more queens to get us to 13+3 = 16 cards we're after.
There are 16 cards we want out of 52 total, so the probability is 16/52 = (4*4)/(4*13) = 4/13
Write down a number that has the same value as:
1-13.51
Answer:
The answer would have to be 5 but im not sure cause there are no answer choices.
Step-by-step explanation:
What’s a 1/3 as a whole number
Answer:
a repeating term of .3
Step-by-step explanation:
1/3 = 1 divided by 3
1 divided by 3 = .33333333333333333333
that is called a repeating term
[tex]\frac{1}{3}[/tex] = .3
Answer: 1/3 is .3333333 on going
it cant be a whole number
The Simpsons rented a trailer that was 8 feet long and 5 feet wide. If they load the trailer with 1-by-1-by-1-foot boxes to a height of 3 feet, how many boxes can be loaded onto the trailer?
The total number of boxes that can be loaded onto the trailer is 27.
Here we have to determine the maximum number of boxes.
That can be stored in a locker by the volume of one box.
From the given information volume of the box is Vb and the volume f the locker is Vl.
What is the volume of the box?
[tex]Volume=Length\times width\times height[/tex]
Therefore we get,
[tex]V_b=4\times3\times2\\V_b=24ft^3[/tex]
The volume of the locker is
[tex]V_L=12\times6\times 9\\V_L=684ft^3[/tex]
Therefore the number of the maximum boxes are
[tex]\frac{VL}{V_b} =\frac{648}{24} \\=27[/tex]
Therefore, The total number of boxes can be loaded onto the trailer are 27.
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4 + 7 + 9 + 5 - 44? pls HELPPPPP!!!!!!!!!!!!!!!
Answer:
-19.
Step-by-step explanation:
4 + 7 + 9 + 5 - 44
Doing the adds first;
= 25 - 44
= -19.
Find the probability of each event
A fair coin is flipped ten times. What is
the probability of the coin landing tails up
at least nine times?
Answer:
11/1024.
Step-by-step explanation:
Binomial Probability distribution.
This is the probability of 9 tails or 10 tails being flipped.
Prob ( 10 tails) = (1/2)^10 = 1/1024
Prob ( 9 tails) = 10C9 * 1/2^9* 1/2 = 5/512
Required probability = 1/1024 + 5/512
= 11/1024.
which has the same ratio as 8 inches/1 foot?
Answer:
16 inches/2 feet
Step-by-step explanation:
We already have our ratio of 8:1, so we can multiply this ratio by any number of out choosing and the ratio will still be the same.
What is the area of a square that has a length of x-5?
Answer:
x^2 - 10x + 25
Step-by-step explanation:
(x-5) (x-5)
= x^2-10x+25
Answer:
Step-by-step explanation:
[tex]\text{Formula for the area of a square:}[/tex]
[tex]A=s^2[/tex] [tex](\text{"S" represents the side length} )[/tex][tex]\text{Given}[/tex]:
[tex]\text{The side length is x - 5, so we can plug that into the equation}[/tex][tex]\text{Solving}[/tex]:
[tex]A=s^2[/tex][tex]A=(x-5)^2[/tex][tex]A=x^2-10x+25[/tex]State the degree and dominant term of this polynomial
function. (2 marks)[tex]f(x)=2x(x-3)^3(x+1)(4x-2)[/tex]
The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²
The degree of the polynomial?The polynomial function is given as:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
To determine the degree, we simply add the multiplicities.
So, we have:
Degree = 1 + 3 + 1 + 1
Evaluate
Degree = 6
Hence, the degree of the polynomial is 6
The dominant term of the polynomialWe have:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
Expand
f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x
The term with the highest absolute value is - 216x²
Hence, the dominant term is - 216x²
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What kind of shape is this ?
Answer:
prism
Step-by-step explanation:
when all the sides are joined, it will reveal the shape to become a prism.
David needs to choose a tie for a wedding. He has 4 solid color ties, 5
striped ties, and 3 cartoon ties. If his wife picks a tie for him at random,
what of the following is the probability that she will NOT choose a solid
color tie?
elect one:
The probability of not choosing the solid color tie by David's Wife will
be [tex]\frac{2}{3}[/tex].
What is Probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Number of solid Color ties= 4Number of cartoon ties= 3Number of stripped ties= 5
Total Number of ties= 4+3+5 =12
Probability of not choosing the solid color tie
=[tex]\frac{Total\; ties- \; Number\; of \;Solid\; ties}{Total\; number \;of \;ties}[/tex]
=[tex]\frac{12-4}{12}[/tex]
= [tex]\frac{8}{12}[/tex]
=[tex]\frac{2}{3}[/tex]
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2. Three times some number, decreased by five is no less than 16.
Written as a inequality, what will it be?
Answer:
Read explanation
Step-by-step explanation:
The equation is written as: [tex]3x-5\geq 16[/tex]
You can make it a 2 step equation.
[tex]3x-5\geq 16\\[/tex]
16+5=21
[tex]3x\geq 21[/tex]
21/3
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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
3 times some number decreased by 5 is no less than 16.
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
3n-5≥16
[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]
First, notice it says "no less than 16"
So the expression can't be less than 16, so it's greater than or equal to 16.
Now, let the number be n.
Multiply 3 times n:
3n
"Decreased by 5" means you subtract 5:-
3n-5
Inequality:- 3n-5≥15
Solve:
3n-5≥15
3n≥15+5
3n≥20
n≥20/3
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -