Answer:
2xˆ2-4yˆ2
Step-by-step explanation:
Liam mixed together quarts of orange juice and quarts of pineapple juice. Then he added quarts of seltzer to make punch. How much more juice than seltzer did Liam use to make punch?
Answer:
[tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
Question has missing details (See attachment).
Given
[tex]Orange\ Juice = 1\frac{1}{4}quart[/tex]
[tex]Pineapple\ Juice = 2\frac{1}{2}quart[/tex]
[tex]Seltzer = 1\frac{1}{2}quart[/tex]
Required
Determine how much juice than seltzer used.
To do this, we first calculate the total amount of juice
[tex]Juice = Orange + Pineapple[/tex]
[tex]Juice = 1\frac{1}{4} + 2\frac{1}{2}[/tex]
[tex]Juice = \frac{5}{4} + \frac{5}{2}[/tex]
Take LCM
[tex]Juice = \frac{5+10}{4}[/tex]
[tex]Juice = \frac{15}{4}[/tex]
Then subtract the amount of seltzer used.
[tex]Juice - Seltzer = \frac{15}{4}-1\frac{1}{2}[/tex]
[tex]Juice - Seltzer = \frac{15}{4}-\frac{3}{2}[/tex]
Take LCM
[tex]Juice - Seltzer = \frac{15 - 6}{4}[/tex]
[tex]Juice - Seltzer = \frac{9}{4}[/tex]
[tex]Juice - Seltzer = 2\frac{1}{4}[/tex]
The amount of juice used more than seltzer is [tex]2\frac{1}{4}[/tex]
Answer: 3 3/4 quarts
Hope this helps
List the elements of the set of all letters in the word 'true'
Answer:
t r u e
Step-by-step explanation:
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation
v(t)=−gt−velnm−rt/m
where g is the acceleration due to gravity and t is not too large. If g=9.8 m/s^2, m = 30000 kg, r = 160 kg/s, and ve = 3000 m/s, find the height of the rocket one minute after liftoff.
This question is incomplete, the complete question is;
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel consumed at rate r, and the exhaust gases are ejected with constant velocity v(sub e) [relative to the rocket]. A model for the velocity of the rocket at time t is given by the equation:
v(t) = -gt - v(sub e) ln [(m-rt)/m]
where g is the acceleration due to gravity, and t is not too large. If g = 9.8 m/s^2, m = 30,000 kg, r = 160 kg/s, and v(sub e)= 3000 m/s, find the height of the rocket one minute after liftoff.
Answer:
the height of the rocket one minute after liftoff is 14.8441 km
Step-by-step explanation:
Given the data in the question;
Velocity of the rocket at time t is;
v(t) = -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex])
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = ₀∫⁶⁰( -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex]) )dt
= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex] - [tex]V_{e\\}[/tex] ₀∫⁶⁰In( [tex]\frac{m-rt}{m}[/tex]) dt
= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex] - [tex]V_{e\\}[/tex] [ t In( [tex]\frac{m-rt}{m}[/tex]) + [tex]\frac{m}{r}[/tex] - t - mr[tex]\frac{1}{r^{2} }[/tex] In |m-rt| [tex]]^{60}_0[/tex]
= -g([tex][\frac{60^{2} }{2}][/tex] - [tex]V_{e\\}[/tex] [ 60 (In(1 - [tex]\frac{60r}{m}[/tex])-1) + [tex]\frac{m(In(m^{2})-In((m-60r)^2))) }{2r}[/tex] ]
we input our given values; g=9.8 m/s², m=30000 kg, Ve = 3000 m/s, r = 160 kg)
= -9.8([tex][\frac{60^{2} }{2}][/tex] - 3000 [ 60 (In(1 - [tex]\frac{60(160)}{m}[/tex])-1) + [tex]\frac{30,000(In(30,000^{2})-In((30,000-60(160))^2))) }{2(160)}[/tex] ]
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14844.10 m
we convert to kilometer
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14844.10 ÷ 1000
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14.8441 km
Therefore, the height of the rocket one minute after liftoff is 14.8441 km
Charlene and Gary want to make a perfume
2.39 2.58 2.17
Answer:
What is the question?
Step-by-step explanation:
7.
The expression 25(1.12)m represents a population of spiders after m months. Since a year hus
12 months, 25(1.12)12n represents the population of spiders after n years.
Which expression is approximately equivalent to 25(1.12)1207
A 25(2.44)"
B 25(3.90)"
с 25(13.12)
D 25(13.44)"
Answer:
C
Step-by-step explanation:
Nine bands are to perform at a weekend festival. Suppose you want to determine how many different ways there are to schedule their appearances. Would you use a combination or a permutation?
Answer:
permutation
Step-by-step explanation:
Analyzing the information in the question above, it is correct to say that it is necessary to use permutation, since the ORDER matters, since there is a need to program the band's appearances.
Permutation can be understood as an arrangement in which n = p, where n is the number of elements in the set and p is the number of available elements.
Therefore, the permutation of nine bands is:
Pn = n!
P9 = 9!
p9 = 362880
In a painting of the Mona Lisa, the length of the painting is 4 1/2 inches. Milo scales the drawing up by 2 3/4?
what kind of idiotic question is that
does a idiot teacher exists?
Apply Theorem 22-B to solve for "b" State the proportion, and then the answer 27 12
Step-by-step explanation:
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zbajaibaaujabajaja
buwsusbvajz
Please help me if u don’t I will get a bad grade‼️
Given:
The equation is
[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]
To find:
The coefficient and reciprocal.
Solution:
We have,
[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]
Here, [tex]\dfrac{1}{3}[/tex] is multiplied with x.
So, the coefficient of x is [tex]\dfrac{1}{3}[/tex].
To find the reciprocal, we need to interchange numerator and denominator of a fraction.
So, the reciprocal of [tex]\dfrac{1}{3}[/tex] is [tex]\dfrac{3}{1}=3[/tex]
Therefore, the reciprocal is 3.
what is the lcm for 3/4and 1/2
Answer:
1 1/2
Hope that helps!
Step-by-step explanation:
I need help with this answer please
Answer:
The answer is C
Step-by-step explanation:
a. 4⁰= 2⁰
b. 4^-1 < 2^-1
c. 4¹ > 2¹ (CORRECT)
d. 4⁰ = 2⁰
Answer: x > 0
Step-by-step explanation: 4^x > 2^x graphed is x > 0
Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number.
A.1.256
B.4.189
C.1,089
D.1,568
Answer:
C is my answer
Thank You
Mark me as Brainilest Answer please ty
Suppose the restaurant’s description of the weights of its hamburgers is true. The dotplot below
shows the distribution of sample means from 100 simulated SRSs of size n = 5 from a normally
distributed population with µ = 8 ounces and σ = 0.54 ounces.
(b) Would it be unusual to get a sample mean of 7.6 oz or less in a sample of size n = 5 from this
population? Explain.
(c) Based on your answer to part (b), is there convincing evidence that the mean weight of
hamburgers at this restaurant is less than 8 oz? Explain.
Answer:
Step-by-step explanation:
It would be unusual because there are only one 7.6 samples out of a total of 100 samples.
At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 21 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon.
Part (a) In words, define the Random Variable X.
the number of fencers that do not use the foil as their main weaponthe different types of weapons the number of fencers at The Fencing Centerthe number of fencers that do use the foil as their main weapon
Part (b) List the values that X may take on.
X = 0, 1, 2, . . ., 60X = 1, 2, 3, . . ., 21 X = 0, 1, 2, . . ., 21X = 1, 2, 3, . . ., 60
Part (c) Give the distribution of X.
X ~
,
Part (d) How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.)
fencers
Part (e) Find the probability that eleven do not use the foil as their main weapon. (Round your answer to four decimal places.)
Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?
Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%).No. The probability of all 21 fencers not using the foil as their main weapon is large (more than 10%).
Answer:
A.) the number of fencers that do not use the foil as their main weapon
B.) X : 0, 1, 2, 3,..., 21
C.) X ~ p(X) ; 21 ~ 0.4
D.) 21 ~ 0.4
E.) 0.0895
F.) Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%)
Step-by-step explanation:
A.) since it is reported that 60% of fencers use the foil as their main weapon ;
The random variable (x) : number of fencers that do not use foil as their main weapon ;
( 100% - 60%) = (1 - 0.6) = 0.4
B.) values that X may take on :
Sample size = 21 ;
X : 0, 1, 2,..., 21
The distribution of X
X ~ B ; X ~ p(X) ; 21 ~ 0.4
Part (d) How many fencers are expected to not use the foil as their main weapon?
X * p(x)
21 * 0.4
= 8.4
= 8 (nearest whole number)
Part (e) Find the probability that eleven do not use the foil as their main weapon.
P(x = 11)
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 11) = 21C11 * 0.4^11 * 0.6^10
P(x = 11) = 0.0895
Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?
P(x = 21) = 21C21 * 0.4^21 * 0.6^0
P(x = 21) = < 0.00001 ( approximately 0)
Hence, based on this very low value which is almost equal to 0 ; it will be surprising if all 21 do not use foil as their main weapon
An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : Suppose a sample of 768 new car buyers is drawn. Of those sampled, 192 preferred foreign over domestic cars. Using the data, construct the 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places.
Answer:
The 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.23, 0.27).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 768 new car buyers is drawn. Of those sampled, 192 preferred foreign over domestic cars.
This means that [tex]n = 768, \pi = \frac{192}{768} = 0.25[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.95[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.25 - 1.28\sqrt{\frac{0.25*0.75}{768}} = 0.23[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.25 + 1.28\sqrt{\frac{0.25*0.75}{768}} = 0.27[/tex]
The 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.23, 0.27).
The Yankees 90 of their 162 games last season. What percentage of their games did they win?
Answer:
If they won 90 out of 162, they won 55.(5)% of their games.
Step-by-step explanation:
I assume they WON 90 of the 162 games.
90/162 = 45/81 = 15/27 = 5/9
5/9 = 55.(5)%; (because 1/9 = 11.(1)%)
Answer:
55.56%
Step-by-step explanation:
1. Put into a fraction = 90/162
2. Simplify = 5/9
3. Calculate the fractions value by dividing the numerator by the denominator.
4. Multiply the answer by 100
5. Simplify
Hopefully this helps!
what's 24 -3 (7-5) to the power of two over (+8) (-6) ÷ (+12)?
Answer:
45%
Step-by-step explanation:
45%
Maggie has half as many apple muffins as she does blueberry muffins. Let b represent the number of blueberry muffins Maggie has.
Create an expression to represent the number of apple muffins Maggie has. Move a number, a variable, and a symbol to the lines to create
the expression.
Answer: b/2
Step-by-step explanation:
From the question, we are informed that Maggie has half as many apple muffins as she does blueberry muffins where,
b = the number of blueberry muffins that Maggie has.
Therefore, an expression to represent the number of apple muffins Mmthat Maggie has will be:
= 1/2 × b.
= b/2
A curious statistics student cannot get enough statistics, so he decides to analyze the percentage of students sleeping in his statistics class. He discovers that of the 30 students in his class, 47% of the students were asleep at some point during the class period. Assuming the 30 students is less than 10% of all the students taking statistics in his school, and assuming the 30 students in the class were randomly assigned to the class, what model would he use to analyze the percentage of sleeping statistics students
Answer:
c) N(.47, .09)
Step-by-step explanation:
Options to the question are "a) N(.30, .10), b) N(.30, .09). c) N(.47, .09), d) N(.47, .008), e) N(.30, .008)"
Pο = 47% = 0.47
n = 30
Mean = Pο = 0.47
S.D = Pο(1-Pο) / n
S.D = 0.47 * 0.53 / 30
S.D = 0.09
Thus, the percentage of sleeping statistics of students follows a Normal distribution with mean = 0.47 and S..D = 0.09
4 divided by 3.2 show work
To divide 4 by 3.2, we can use long division.
Here's the step-by-step process:
1.25
___________
3.2 | 4.00
3.2 (subtract 3.2 from 4.00)
_______
8
6.4 (bring down the 0)
_______
16
16 (subtract 16 from 16, no remainder)
_______
0
Therefore, 4 divided by 3.2 is equal to 1.25.
Learn more about Long division here:
https://brainly.com/question/29188115
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For what value of the constant c is the function f continuous on
(−∞,∞) where
f(b) = { cb + 9 if b ≤ 3
c(b)² − 9 if b > 3
9514 1404 393
Answer:
c = 3
Step-by-step explanation:
In order for the function to be continuous at b=3, the left and right limits must be the same. In short, we must have ...
c(3) +9 = c(3²) -9
18 = 6c . . . . . . . . add 9-3c to both sides
3 = c . . . . . . . . . . divide by 6
Function f is continuous when c=3.
Graph the system of
equations on the graph
and determine the
solution.
Y = -4x +2
Y =X +3
Answer:
(-0.2, 2.8)
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect is the solution to the systems of equations.
00:00
Anthony reads 1/2 chapter of his science book each night. He has 4 chapters left to read
How many nights will it take Anthony to finish the book? Enter your answer in the box.
nights
The number of nights that are needed to cover 4 chapters of the science book by Anthony is 8.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Anthony reads 1/2 chapter of his science book each night.
He has 4 chapters left to read.
[tex]\begin{aligned} \rm \dfrac{1}{2} \ chapeter &\rightarrow 1 \rm \ night\\\\1 \ \rm chapter &\rightarrow 2 \ \rm nights\\\\4 \ \rm chapters &\rightarrow 8 \ \rm nights \end{aligned}[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Write the equation of the line that has a slope of -3 that passes through the point (6, 2).
Answer: y=-3x+20
Step-by-step explanation:
Point slope formula = y-y1=m(x-x1)
y-2=-3(x-6)
y-2=-3x+18
y-2+2=-3x+18+2
y=-3x+20
Standard form is 3x+y =20
What is the total volume of Diet
Coke in this six pack? Each can
is 5 inches tall and has a diameter
of 3 inches.
a. 47.1 in 3
b. 141.3 ins
c. 35.3 in
d. 211.95 in3
Answer:
so what was it because i need help NEVER MIND ITS 211.95
Step-by-step explanation:
Answer: 211.95 in3
Step-by-step explanation:
Twenty-one is greater than the sum of fifteen and two times a number
Answer:
21> 2x+ 15
Step-by-step explanation:
The expression is 21 > 15+ 2x
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Twenty-one is greater than the sum of fifteen and two times a number
let the number be x.
two times a number = 2x
and, sum of fifteen and two times a number = 15 + 2x
So, Twenty-one is greater than the sum of fifteen and two times a number
21 > 15+ 2x
Hence, the expression is 21 > 15+ 2x.
Learn more about algebra here:
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can someone help me?
9514 1404 393
Answer:
tan B = 12/5cos B = 5/13sin B = 12/13Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the applicable ratios:
Tan = Opposite/Adjacent ⇒ tan B = CA/CB = 12/5
Cos = Adjacent/Hypotenuse ⇒ cos B = BC/BA = 5/13
Sin = Opposite/Hypotenuse ⇒ sin B = AC/AB = 12/13
Ivan used 3 rolls of blue fabric to make costumes for the annual school play. He used a total length of 12.6 yards of fabric. If each roll had the same length of fabric, how much fabric was in each roll? Write your answer in inches.
Use the table of conversion facts as necessary, and do not round your answer.
Answer:
Step-by-step explanation:
151.2
Help and the question changes when its wrong
Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13
Answer:
i dont know
Step-by-step explanation: