Answer:
Step-by-step explanation:
[tex]s=y, t = y- x^2[/tex]
[tex]x^2=y-t[/tex]
[tex]x=\sqrt{s-t}[/tex]
[tex]y=0, y=16, y=x^2, and\\ y=x^2-5.[/tex]
[tex]y-x^2=0,y-x^2=-5[/tex]
therefore,
[tex]s=[(s,t)10\leq s\leq 16,-3\leq t \leq 0][/tex]
Taking partial derivatives
[tex]\frac{dx}{ds} =\frac{1}{2\sqrt{s-t} } \\\\\frac{dx}{dt} =\frac{1}{2\sqrt{s-t} } \\\\\frac{dy}{ds} =1\\\\\frac{dy}{dt} =0[/tex]
[tex]\frac{\delta (x,y)}{\delta (s,t)} =\left|\begin{array}{ccc}\frac{1}{2\sqrt{s-t} } &-\frac{1}{2\sqrt{s-t} } \\1&0\end{array}\right|[/tex]
[tex]=\frac{1}{2\sqrt{s-t} }[/tex]
[tex]\int\limits \int\limits_R {x} \, dx \, dy=\int\limits\int\limits_s {x} \sqrt{s-t} |\frac{\delta(x,y)}{\delta (s,t)} |dsdt[/tex]
[tex]=\int\limits^{16}_0\int\limits^0_{-5} \sqrt{s-t} \frac{1}{2\sqrt{s-t} } dt ds[/tex]
[tex]=\frac{1}{2} \int\limits^{16}_0 ds\int\limits^0_{-5} \, dt \\\\=\frac{1}{2} [s]^{16}_0[t]^0_{-5}\\\\=\frac{1}{2} (16)(5)\\\\=40[/tex]
What’s the measure of ABC?
Answer quick please!!!
Answer:
ABC = 87°
Step-by-step explanation:
So ABC is x + 32 because the angles are vertical. ABC is also supplementary to ABD so you can make an equation.
3x + 15 = 180
3x = 165
x = 55
ABC = 55 + 32 = 87
please help me with this
Answer:
9x^2 + 12x
Step-by-step explanation:
The area of the blue
3* 3x^2 = 9x^2
The area of the pink is
3* 4x = 12x
Add them together
9x^2 + 12x
Fifthy-four times three
Answer:
162
Step-by-step explanation:
54 * 3 = 162
hope it's helpful
Answer:
162
Step-by-step explanation:
54 x 3 = 162
54+ 54+ 54= 162
Help me with this and give the correct answer and get 25 points
Answer:
x =6.0
The base is 6x = 35.8
The side is 3x = 17.9
Step-by-step explanation:
We can use the pythagorean theorem
a^2 + b^2 = c^2
(6x)^2 +(3x)^2 = 40^2
36x^2 + 9x^2 = 1600
Combine like terms
45x^2 = 1600
Divide each side by 45
45x^2 /45 =1600/45
x^2 =35.555555555
Take the square root of each side
sqrt(x^2) = sqrt(35.555555555)
x =5.96284794 = 6.0
The base is 6x = 6*5.9628479 =35.77708 = 35.8
The side is 3x = 3*5.9628479 =17.88854382= 17.9
Answer:
x = 6.0
3x = 17.9
6x = 35.8
Step-by-step explanation:
Using pythagoras theorem
40² = (3x)² + (6x)²
1600 = 9x² + 36x²
1600 = 45x²
x² = 320/9
x = 5.96284794
3x = 17.88854382
6x = 35.77708764
Tom plants 3 seeds.
The probability that a seed will germinate is 4/5.
A) Calculate the probability that all 3 seeds will germinate.
B) Calculate the probability that at least one of the seeds will germinate.
Answer:
A. 64/125
B. 124/125.
Step-by-step explanation:
A). As the events ( germinate or not germinate) are independent we multiply the probabilities.
Prob(All seeds germinate) = 4/5*4/5*4/5 = 64/125.
B). Probability of at least one germinating = 1 - probability that none germinate
Probability of 1 seed not germinating = 1 -45 = 1/5.
So Prob(at least one germinating)
= 1 - (1/5 * 1/5 * 1/5)
= 1 - 1/125
= 124/125.
The probability that all 3 seeds will germinate is 64/125 and the probability that at least one of the seeds will germinate is 124/125.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
(A)
The probability of all seeds will germinate will be the product of individual probability since all events are independent.
4/5 × 4/5 × 4/5 = 64/125.
B)
Probability of at least one germinating = 1 - the probability that none germinate
The probability of 1 seed not germinating will be given as,
1 -4/5 = 1/5
Thus, the probability of all three seeds not germinating = 1/5 × 1/5 × 1/5
Thus, the probability that at least 1 of the seeds will germinate.
⇒ 1 - (1/5 × 1/5 × 1/5)
⇒ 1 - 1/125
⇒ 124/125
Hence "The probability that all 3 seeds will germinate is 64/125 and the probability that at least one of the seeds will germinate is 124/125".
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Based on the box-and-whisker plot shown below, match each term with the correct value.
Answer:
Median = 18
This is the middle line in the box.
Range = 6
This is the difference between the highest and lowest values, 21 - 15.
25th percentile = 17
This is the Q1 value, which is the left side of the box.
75th percentile = 20
This is the Q3 value, which is the right side of the box.
Interquartile range = 3
This is Q3-Q1, which is 20 - 17. This is another way to measure spread.
How many quarts of peanut oil worth 19 cents a quart must be mixed with 100 quarts worth 25 cents a quart to produce a mixture which will be worth 24 cents a quart?
Answer: 20 quarts of peanut oil worth 19 cents a quart must be mixed.
Step-by-step explanation:
Let x represent the number of quarts of peanut oil worth 19 cents a quart that would be in the mixture.
The total number of quarts in the mixture would be x + 100
The cost of the x quarts would be x × 19 = 19x cents
The cost of 100 quarts of the other peanut oil would be 25 × 100 = 2500 cents
The cost of the mixture would be
24(x + 100) = 24x + 2400
Therefore, the equation would be
19x + 2500 = 24x + 2400
24x - 19x = 2500 - 2400
5x = 100
x = 100/5
x = 20
Answer:
20 quarts
Step-by-step explanation:
the parent function of the function g(x)
One angle of an isosceles triangle measures 120°. Which other angles could be in that
isosceles triangle? Choose all that apply.
Answer:
30 for the other two sides
Step-by-step explanation:
180-120=60
Divide 60 in half to get 30
what is the volume of a cylinder with a diameter of 8 name m and a height of 5.5
To begin, you must plug all the values you have into a formula, and also putting them in the right form.
The formula for the volume of a cylinder is: πr²h
FINDING RADIUS: With this in mind, now we know that, our diameter must be converted to a radius. To do this, you divide your diameter by two. This gives you, 4 as your radius.
FINDING HEIGHT: In the question you sent, you can tell they've given you, your height, so all you need to do is plug it into the equation.
PLUGGING IT IN:
Your pi, stays the same when using a calculator, just press your pi symbol depending on the calculator you are using. Your radius is 4, therefore it wants you to square it, which is 4x4, which equals 16. Next, you want to multiply it by the height, so just multiply it with your height, 5.5
YOUR ANSWER:
276.46m
One angle is twice its supplement increased by 36°. Find the measures of the two supplementary angles.
Answer:
48 and 132 degrees
Step-by-step explanation:
supplement=s
one angle=2s+36
2s+36+s=180
3s+36=180
3s=144
s=48
2(48)+36=132
Therefore, 48 and 132 degrees
I hope this helped and have a good rest of your day!
In ΔABC, the measure of ∠C=90°, the measure of ∠A=47°, and BC = 3.5 feet. Find the length of AB to the nearest tenth of a foot.
Answer:
4.8
Step-by-step explanation:
Does a line have one dimension, length?
Answer:A reta é um objeto unidimensional, isto é, possui apenas uma dimensão. Observando bem uma reta, é possível notar que qualquer medida feita sobre ela representará apenas um comprimento. Dessa maneira, pode-se afirmar que retas não possuem largura, apenas comprimento.
Step-by-step explanation:
April’s garden has 42 plants in each row. She has 2 rows of yellow corn and 20 rows of white corn.
SHOW how much yellow corn and white corn has been planted in the garden.
Please answer using complete sentences. Use of diagrams, tables, or charts will increase grade. Be sure to show your expressions and or equations in your explanation.
Answer:
There are a total of 84 yellow corns and
840 white corns planted in the garden.
Step-by-step explanation:
Number of plants in each row = 42
Number of rows of yellow corn = 2
Number of rows of white corn = 20
To find the total number of yellow corns planted in the garden, we need to add the number of plants in each row 2 times.
i.e. 42 + 42 = 84
OR
we can say the following:
Total number of yellow corns planted in the garden = Number of rows of yellow corn [tex]\times[/tex] Number of plants in each row
[tex]\Rightarrow 2 \times 42\\\Rightarrow 84[/tex]
To find the total number of white corns planted in the garden, we need to add the number of plants in each row 20 times.
i.e. 42 + 42 + 42 + ....... + 20 times
OR
we can say the following:
Total number of white corns planted in the garden = Number of rows of white corn [tex]\times[/tex] Number of plants in each row
[tex]\Rightarrow 20 \times 42\\\Rightarrow 840[/tex]
Hence, there are a total of 84 yellow corns and 840 white corns planted in the garden.
h(t)=-5t^2+10t+3 is the height of a diver above the water, t seconds after the diver leaves the springboard. How high above the water is the springboard?
Answer:
3 units
Step-by-step explanation:
So if we want to know how high the spring board is, this will need to be the time at which the diver is still at the top of the board, in this case t = 0 seconds.
So we will need to find h(0)
h(0) = 5(0)² + 10(0) + 3 = 0 + 0 + 3 = 3What expression represents all solutions to cos(x)=0.15
Answer:
it od domedfg
Step-by-step explanation:
hihihi
Find the ratio for sin(-120)
Answer:
- [square root (3) / 2]
Step-by-step explanation:
sin( -120) = sin( -120 + 360) = sin 240 = -sin ( 240-180)
-sin60= - [square root (3) / 2]
Remember Sin is negative in the 3rd quadrant and 240 falls on the 3rd quadrant.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer:
5x -20
Step-by-step explanation:
p(x) = r(x) - c(x)
= 11x - (6x+20)
Distribute the minus sign
= 11x -6x -20
Combine like terms
= 5x -20
The quotient obtained when an integer is divided by its additive inverse is ________________.
Answer: -1
Step-by-step explanation: Let the integer be x
It's additive inverse = -x
= x / -x = -1
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 26.3 with a standard deviation of 4.9,while the 200 students in group 2 had a mean score of 15.9 with a standard deviation of 2.5.
Determine the 95% confidence interval for the difference in scores, ?1 - ?2: (__, __) (Round the variables to three decimal places as needed.)
A. (9.028, 11.572)
B. (9.328, 11.112)
C. (9.128, 11.102)
D. (9.628, 11.172)
Answer: D
Step-by-step explanation:
The 95% confidence interval for the difference in scores is \left( {9.628,11.172} \right)(9.628,11.172) .
find all local maximum and minimum points by the second derivative test when possible y=x^4-2×^2+3
Answer:
y = x^4 - 2x^2 + 3
y' = 4x^3 - 4x
y'' = 12x^2 - 4
To find local minimum and local maximum, we find solution of y' = 0
=> 4x^3 - 4x = 0
<=>4x(x - 1)(x + 1) = 0
<=> x = 0,
substitute into y => y(0) = 0 - 0 + 3 = 3 => A(0, 3)
substitute into y'' => y''(0) = 0 - 4 = -4 < 0 => A(0, 3) is a maximal
<=> x = 1,
substitute into y => y(1) = 1 - 2 + 3 = 2 => B(1, 2)
substitute into y'' => y''(1) = 12 - 4 = 8 > 0 => B(1, 2) is a minimal
<=> x = -1,
substitute into y => y(-1) = 1 - 2 + 3 = 2 => C(-1, 2)
substitute into y'' => y''(-1) = 12 - 4 = 8 > 0 => C(-1, 2) is a minimal
Hope this helps!
:)
Find the standard form equation
of the Hyperbola -2y-82+9x^2=y^2
Answer:
x²/9 − (y + 1)²/81 = 1
Step-by-step explanation:
-2y − 82 + 9x² = y²
9x² = y² + 2y + 82
9x² = y² + 2y + 1 + 81
9x² = (y + 1)² + 81
9x² − (y + 1)² = 81
x²/9 − (y + 1)²/81 = 1
Super Dave Osborne stands at the bottom of a canyon elevation 256 feet below sea level, he throws a piano up at a velocity of 320 feet per second the piano lands on the edge of the cliff at zero elevation . The flight of the piano is modeled by the equation f( x ) = −16t2 2 + 320t − 256. The piano was in the air for exactly how many seconds
Answer:
The piano was in the air for 18.34 seconds.
Step-by-step explanation:
The height of the piano after t seconds is given by the following equation:
[tex]f(t) = -16t^{2} + 320t - 256[/tex]
Initially, the piano is below the ground level. At the first root of the equation, it will go into the air, and then some time after that it will fall down again, which is at the second root of the equation.
Roots of a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]f(t) = -16t^{2} + 320t - 256[/tex]
So
[tex]a = -16, b = 320, c = -256[/tex]
[tex]\bigtriangleup = (320)^{2} - 4*(-16)*(-256) = 86016[/tex]
[tex]t_{1} = \frac{-320 + \sqrt{86016}}{2*(-16)} = 0.8348[/tex]
[tex]t_{2} = \frac{-320 - \sqrt{86016}}{2*(-16)} = 19.17[/tex]
Subtracting:
19.17 - 0.8348 = 18.34
The piano was in the air for 18.34 seconds.
The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 18 of each type were mailed from the Network Distribution Center in Atlanta, Georgia, to Des Moines, Iowa. The total delivery time in days was recorded. Minitab was used to perform the ANOVA. The results follow: Source DF SS MS F P Factor 3 1.30 0.43 1.79 0.157 Error 68 16.45 0.24 Total 71 17.75 Level N Mean StDev Priority Mail Express 18 2.965 0.345 Priority Mail 18 3.044 0.631 First-Class Mail 18 3.296 0.578 Standard Mail 18 3.231 0.341 Using the ANOVA results, compare the average delivery times of the four different types of mail.
Answer:
Here, F = 2.911
F > 2.739502 , so reject null hypothesis ( H0)
There is ample evidence to indicate a disparity in the means for the different forms of mails.
Step-by-step explanation:
Null hypothesis - H₀: μ₁ = μ₂ = μ₃ = μ₄
Alternative hypothesis - H₁: At least one mean is different.
df1 is factor degree of freedom and df2 is error degree of freedom.
Decision rule - Reject H₀ if F > F₀.₀₅, (df1, df2)
F0.05, df1,df2 is f critical value at \alpha = 0.05
Here df1 = 3 , and df2 = 68
Using Excel,
F₀.₀₅, ₃, ₆₈ = FINV( 0.05, 3 , 68 ) = 2.739502302
So reject H0 if F > 2.739502
Here, F = 2.911
F > 2.739502 , so reject null hypothesis ( H0)
There is ample evidence to indicate a disparity in the means for the different forms of mails.
25
2
In long division
Answer:
..........
Step-by-step explanation:
i don't understand 25 2 ??
You rolled a fair six sided die what is P Roll a 2
Answer:
1/3
Step-by-step explanation:
Probability 2/6 = 1/3
Answer - 1/3
Probability is 1/3
Question 1
1 pts
In you closet, you have 5 T-shirts, 4 pants, and 7 hats. How many different outfits can you make with
these articles of clothing?
Answer:
140
Step-by-step explanation:
So all you have to do is multiply 5 * 4 * 7 to find out how many outfits you can make.
140
Avoiding an accident while driving can depend on reaction time. Suppose that reaction time, measured from the time the driver first sees the danger until the driver gets his/her foot on the brake pedal, is approximately symmetric and mound-shaped with mean 1.9 seconds and standard deviation 0.12seconds. Use the 68-95-99.7 rule to answer the following questions.What percentage of drivers have a reaction time more than 2.14 seconds?%What percentage of drivers have a reaction time less than 1.78 seconds?%What percentage of drivers have a reaction time less than 2.02 seconds?%
Answer:
2.5% of drivers have a reaction time more than 2.14 seconds
16% of drivers have a reaction time less than 1.78 seconds
84% of drivers have a reaction time less than 2.02 seconds
Step-by-step explanation:
The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
In this problem, we have that:
Mean = 1.9s
Standard deviation = 0.12
What percentage of drivers have a reaction time more than 2.14 seconds?
2.14 = 1.9 + 2*0.12
So 2.14 is two standard deviations above the mean.
Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.
0.05*0.5 = 0.025
2.5% of drivers have a reaction time more than 2.14 seconds
What percentage of drivers have a reaction time less than 1.78 seconds?
1.78 = 1.9 - 0.12
So 1.78 is one standard deviation below the mean.
Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.
100 - 68 = 32
0.32*50 = 0.16
16% of drivers have a reaction time less than 1.78 seconds
What percentage of drivers have a reaction time less than 2.02 seconds?
2.02 = 1.9 + 0.12
So 2.02 is one standard deviation above the mean.
Of the measures that are below the mean, all are below 2.02.
Of those that are above, 68% are below 2.02.
0.5 + 0.68*0.5 = 0.84
84% of drivers have a reaction time less than 2.02 seconds
The percentage of drivers have a reaction is :
-2.5% of drivers have a reaction time more than 2.14 seconds
-16% of drivers have a reaction time less than 1.78 seconds
-84% of drivers have a reaction time less than 2.02 seconds
"68-95-99.7 rule"Answer 1:
The percentage of drivers have a reaction time more than 2.14 seconds is :2.14 = 1.9 + 2*0.12
So 2.14 is two standard deviations above the mean.Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.0.05*0.5 = 0.0252.5% of drivers have a reaction time more than 2.14 seconds
Answer 2:
The percentage of drivers have a reaction time less than 1.78 seconds is :1.78 = 1.9 - 0.12
So, 1.78 is one standard deviation below the mean.Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.100 - 68 = 320.32*50 = 0.1616% of drivers have a reaction time less than 1.78 seconds.
Answer 3:
The percentage of drivers have a reaction time less than 2.02 seconds :2.02 = 1.9 + 0.12
So, 2.02 is one standard deviation above the mean.Of the measures that are below the mean, all are below 2.02.Of those that are above, 68% are below 2.02.0.5 + 0.68*0.5 = 0.8484% of drivers have a reaction time less than 2.02 seconds
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What are the odds of winning a game, if the probability of winning the game is 3/11 ?
Step-by-step explanation:
We can express 3/11 as odds by saying "3 in 11". Therefore, you have a 3 in 11 chance of winning. Hope this helps!
Ruth has 12 feet of ribbon.
She uses 7 feet of it for a craft project and gives 28 inches of it to her sister.
How many inches of ribbon does she have left?
Enter your answer in the box.
Answer:
See I don't know the answer but I did another one like this if it doesn't help you can report it no problem
Step-by-step explanation:
There are 2 different ways you can solve this problem and you'll get the same answer.
To help you visualize what you have to do, it might be easiest to translate your problem to a unit that easier to use.
Since you only have a ribbon 5 feet long, but you must cut it into 6 pieces, you know it won't even be 1 foot long.
One way to solve the problem would be to translate your 5-foot ribbon into a ribbon divided into inches.
1 foot = 12 inches
To find out how many inches long your ribbon is, you'll need to multiply the number of feet by 12.
Once you know that, then you can more easily divide it by 6. This will tell you how many inches each ribbon is.
Careful! the answer is to be put into feet so once you know how many inches long the ribbon is, you must then divide by 12 to get the correct answer in feet. Don't forget to round to the nearest tenth.
Another way to solve the problem is to simply divide the 5 feet by the number 6 and then round your number to the nearest tenth. It may be harder to visualize the answer this way, but you will get the same answer as if you translated your ribbon into inches and then divided by 12.
Good luck! I hope this helps!
32 inches of ribbon does she have left.
What is Unit Conversion?Unit conversion is a multi-step process that includes rounding, selecting the appropriate number of significant digits, and multiplying or dividing by a numerical factor.
We have,
Total length of Ribbon = 12 feet
After using 7 feet the remaining left
= 12 - 7
= 5 feet
Now, She gave 28 inches to her sister then the ribbon left
= 5 feet - 28 inches
= 60 inches - 28 inches
= 32 inches
= 2.66667 feet
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