For the functions w, x, and y, express as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t. Then evaluate at t . Express as a function of t. For the functions w = 4x² + 3y? dw x= cost, and y = sint, express dt dw as a function of t, both by using the chain rule and by expressing w in terms oft and differentiating directly with respect to t. Then evaluate dt at t= 3 dw Express dt as a function of t. dw dt 1 Evaluate dw dt att dw dt
Answers
The value of dw/dt at t = 3 is -0.282.
Given, the functions are:
w = 4x² + 3y, x = cos(t), and y = sin(t).
Let's find the expressions for w with respect to t using the chain rule.Using the chain rule, we have:
dw/dt = ∂w/∂x × ∂x/∂t + ∂w/∂y × ∂y/∂t...[1] Here, ∂w/∂x = 8x, and ∂w/∂y = 3.
Substituting these values in [1], we get:
dw/dt = 8x × (-sin(t)) + 3 × cos(t)
dw/dt = -8cos(t)sin(t) + 3cos(t)dw/dt = cos(t)(3 - 8sin(t))...[2]
Now, let's find the expression for w in terms of t and differentiate directly with respect to t.Using w = 4x² + 3y, we get:
w = 4cos²(t) + 3sin(t)dw/dt = 8cos(t)(-sin(t)) + 3cos(t)dw/dt = -8cos(t)sin(t) + 3cos(t)dw/dt = cos(t)(3 - 8sin(t))
dw/dt = cos(t)(3 - 8sin(3)) = -0.282
Since, we have to evaluate at t = 3
Therefore, w = 4cos²(3) + 3sin(3) = 0.416
dw/dt = cos(3)(3 - 8sin(3)) = -0.282
Hence, the expression of dw/dt as a function of t using the chain rule is cos(t)(3 - 8sin(t)).
The expression of dw/dt as a function of t by expressing w in terms of t and differentiating directly with respect to t is -0.282.
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Related Questions
which step in the construction of coping a lin segment ensures that the new line segment has the same length as the original line segment
Answers
Step-by-step explanation:
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
Here are the steps I think you probably will go through.
1. Draw a line that is longer than the segment but shorter than the width of the page.
1a. Make sure this line is at least 1/2 inch from the left hand side.
2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.
3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.
The key step either two or three.The steps to copy a line segment are given below:
1. Lets start with a line segment AB that we have to copy.
2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so as the compass width is equal to length of AB.
5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
PLEASEEEE HELP ME WITH 1A. ITS EASY IF YOU KNOW HOW TO DO IT
Answers
It goes largest exponent first, then go down until there’s no variable or exponent.
Answer is:
8x^5 + 7x^3 -x^2 +12x -2
a.) State the decision rule. Select the correct choice below and fill in any answer boxes in your choice.(Round to four decimal places as needed.)Reject the null hypothesis if the calculated value of the test statistic, t, is less than the critical value ofnegative _______. Otherwise, do not reject
Answers
Reject the null hypothesis if the calculated value of the test statistic, t, is less than the critical value of negative t*. Otherwise, do not reject.
Please note that the critical value of t* depends on the significance level (alpha), degrees of freedom, and the specific hypothesis test being conducted. It is not provided in the given information and would need to be determined based on the specific context and requirements of the test.
what is critical value ?
A critical value is a specific value or threshold used in statistical hypothesis testing or confidence interval estimation. It is based on the chosen level of significance (alpha) and the distribution of the test statistic or the sampling distribution.
In hypothesis testing, critical values are used to determine whether to reject or fail to reject the null hypothesis. The test statistic is compared to the critical value to make a decision. If the test statistic falls in the critical region (beyond the critical value), the null hypothesis is rejected in favor of the alternative hypothesis.
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arrange the steps in order to produce a proof that if n is a composite integer, then n has a prime divisor less than or equal to
Answers
The proof starts by assuming n is a composite integer and proceeds to show that there must exist a prime divisor of n that is less than or equal to √n by contradiction.
To produce a proof that if n is a composite integer, then n has a prime divisor less than or equal to √n, the steps should be arranged in the following order:
Assume n is a composite integer.
Express n as a product of its prime factors.
Suppose all prime factors of n are greater than √n.
Take the product of all prime factors of n.
The product obtained in step 4 is greater than n.
This contradicts the fact that n is a composite integer.
Therefore, the assumption made in step 3 is false.
There must exist at least one prime factor of n that is less than or equal to √n.
Hence, if n is a composite integer, then n has a prime divisor less than or equal to √n.
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Jaime knows that 30² is 900. He wonders if knowing that 30² can help him finds 29x31. Raquel knows what 25² equals. How can she use the knowledge to find 24x26?
Answers
Step-by-step explanation:
notice that 29 is one smaller than 30 and is being multiplied by 31. it is one smaller times 31 so 900 - 31 = 869. 31 is one bigger multiplied by 29 so 869 + 29 = 898. plus 1 = 899
25 times 25 = 625
625 - 26 = 599
599 + 24 = 623
plus 1 = 624
HELP FAST‼️‼️
Jessenia usually earns $25 each week.
Last week, she received an extra $20 in
bonus. What percent of her usual weekly
income was her total income last week?
Answers
Normal income: 25 $
Last week's income: 25 + 20: 45 $
% = Last week's/normal = 45/25 ×100 =180 %
What is 57% of 11? ; 19.3 ; 627 ; 6.27 ; 0.19
Answers
Answer:
57% of 11 is 6.27
Step-by-step explanation:
All we have to do is convert the percent to a decimal, then multiply the decimal by 11.
0.57 × 11 = 6.27
Could these triangles be congruent?
B
E
O yes,
O yes, if AB - DE
s, if BC = 7
O yes, if AB EF
O no, because the hypotenuses must have different
lengths
A
7
С
D
7
F
Answers
Answer:
yes, if AB ≅ DE
Step-by-step explanation:
Triangles are said to be congruent if they have the same sides and the same angles.
The following measures are used to determine if triangles are congruent:
1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.
2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.
3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.
4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.
From the triangles DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.
To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent
Answer:
D). no, because the hypotenuses must have different lengths
Step-by-step explanation:
I just did the assignment on Edge and it's 100% correct.
Hope this helps!! Also heart and rate if you found this answer helpful!! :)
PLSSS HELP WILL MARK FIRST RIGHT ANSWER BRAINLIEST!!!
Answers
Answer:
x= -11
Step-by-step explanation:
Rearrange terms
\(-1=\frac{5+x}{6} into -1=\frac{x+5}{6}\)
Multiply all terms by the same value to eliminate fraction denominators
\(-1=\frac{x+5}{6} \\6(1)=6(\frac{x+5}{6} )\)
Cancel multiplied terms that are in the denominator
\(6(-1)=6 (\frac{x+5}{6} )6(-1)=x+5\)
Multiply the numbers
\(6(-1)=x+5\\-6=x+5\)
Subtract 5 from both sides of the equation
\(-6=x+5\\-6-5=x+5-5\)
Simplify
Subtract the numbers
Subtract the numbers
Move the variable to the left
PLSSS HELP 30pts
Your Turn
Given: CD is the perpendicular bisector of PR. Find the following lengths.
4. Find CR
Answers
Answer:
CR = 17
Step-by-step explanation:
Using Pythagoras Theorem:
a² + b² = c²
8² + 15² = CR²
64 + 225 = CR²
289 = CR²
CR = √289
CR = 17
In triangle CQR:
CQR= 90 degrees
Then CQR is a right triangle
CR^2=CQ^2+QR^2
CR^2=64+225
CR^2=289
CR=radical 289
CR=17
how many digits are in e2020?
2021 878 877 2020
Answers
e2020 has 707 digits.
e is the mathematical constant known as the base of the natural logarithm, which means that the logarithm of any number to the base e is its natural logarithm. It is approximately equal to 2.71828, but its decimal representation goes on infinitely without repeating.
Calculating the number of digits in e2020 involves finding the number of decimal places that e extends past 2020. This is calculated using logarithms.
To find the number of digits in e2020, you can calculate 10^(number of decimal places past 2020) and determine the number of digits in the result.
This gives us 10^(707) = e2020, meaning that e2020 has 707 digits.
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The transverse axis of a hyperbola is the x-axis, and the equation of the asymptotes is y=± (4)/(3)x
In the equation of the given hyperbola in standard form,
a = __ ,
b= __, and
c = __.
Answers
Given that the transverse axis of a hyperbola is the x-axis, the re-written in the standard form,
a = 3
b = 1
c = 12.
How do you solve for the standard form of the above equation?It is to be noted that the standard form of a linear equation is given as:
ax + by = c
Rewritten in the normal format,
y=± (4)/(3)x ⇒ y-4 = -3 (x-3)
Simplifying -3(x-3) by applying distributive property and we have:
-3x -3 * -3
Hence
y-4 = -3x -3 * -3
⇒ y-4 = -3x + 9
Collecting like terms on one side of the equation we have
3x + y - 4 = 9
⇒ 3x + y = 9+4
⇒ 3x + y = 12 = Standard Form
Therefore, in standard from,
a = 3
b = 1
c = 12
See the relevant Graph attached.
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sarah, a financial advisor, would like to make the claim that the average u.s. household with total annual income above $100,000 saves more than $251 per month. sarah samples 18 of her clients in this income bracket and obtains a sample mean of $271 saved per month. at the 5% significance level, should sarah reject or fail to reject the null hypothesis given the sample data below?
Answers
Sarah should reject the null hypothesis, as the test statistic is greater than the critical value for the right-tailed test.
What are the null hypothesis?At the null hypothesis, it is tested if there is not enough evidence that they save more than $251 per month, hence:
\(H_0: \mu = 251\)
At the alternative hypothesis, it is tested if there is enough evidence that they save more than $251 per month, hence:
\(H_1: \mu > 251\)
What is the decision?Before taking the decision, we need to consider the critical value, which is obtained considering the parameters are follows:
Right-tailed test, as we are testing if the mean is greater than a value.Significance level of 0.05.17 degrees of freedom, which is one less than the sample size.Considering these parameters, using a t-distribution calculator, the critical value is given as follows:
t = 1.74.
The test statistic is given by:
t = 2.02.
The test statistic is greater than the critical value for the right-tailed test, hence the null hypothesis should be rejected.
Missing InformationThe problem is given by the image at the end of the answer.
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The times taken by Amal to run three races were 3 minutes 10 seconds, 2 minutes 58.2 seconds and 3 minutes 9.8 seconds. Find the average time taken, giving your answer in minutes.
Answers
Approximately it is:
3 minutes 19 seconds
-
If f(x) = 6x – 3 and g(x) = 1x – 6,
which statement is true?
Click on the correct answer.
3 is in the domain of fºg.
3 is not in the domain of fºg.
Answers
Answer:
3 is not the domain of fgI think it will help you
i know that it’s B, and i’ve explained that it’s because there is no correlation among the data points but for some reason it’s being marked incorrect, does anyone know what i’m missing?
Answers
I think the answer would be C
As it is basically a straight line so there wouldn't be necessary for there to be a scatter diagram for it.
I may be wrong so take it with a grain of salt
A student received a coupon for 19% off the total purchase price at a clothing store. Let y be the original price of the purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like terms.
Answers
Answer:
y- .19y=x
Step-by-step explanation:
x=price after discount
Answer:
y- .19y=x
Step-by-step explanation:
The area of a triangle is 72cm squared. if its base is 16cm, find his height.
Answers
Answer:
The height is 9 cm
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
72 = 1/2 ( 16) h
72 = 8h
Divide each side by 8
72/8 = 8h/8
9 = h
The height is 9 cm
Answer:
8 because it is a half base x height
Step-by-step explanation:
a half x 16= 8
Which graph represents the function f(x)=(x+4)(x+1)(x−3)?
Answers
Answer:
your answer will be C .
Step-by-step explanation:
3x+2=2x+13/2 figure out x
Answers
Answer:
x= 5.5
Step-by-step explanation:
3x + 2 = 2x + 13 / 2 -2x from both sides
x + 1 = 13 / 2 -1 from both sides
x = 13 / 2 - 1 solve
x = 6.5 - 1 solve
x = 5.5
What is the image of (-12,-3) after a dilation by a scale factor of 1/3 centered at the origin?
Answers
Answer:
(-4, -1)
Step-by-step explanation:
Multiply both coordinates by 1/3 which is the same as dividing by 3.
Answer: (-4, -1)
if ahmod has 2 times as many dimes as nickels and they have a combined value of 100 cents, how many of each coin does he have?
Answers
Finally ahmod will have 4 nickels and 10 dimes.
Ahmod has two times as many dimes as nickels.
They have a combined value of 100 cents.
Group all coins in sets by grouping each nickel with 2 dimes.
Each set, containing 1 nickel and 2 dimes, is worth 5 + 2*10 = 25 cents.
You will have 100/25 = 4 such groups
As we have 4 such groups at last ahmod will have 4 nickels and 10 dimes.
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For the random variables X and Y it is given that E(X)
Var(X)
rho
=10E(Y)=20
=9Var(Y)=16
=0.8
2 (a) Calculate Cov(X,Y) (b) Calculate the expectation and variance of the following linear combinations of X and Y i. 3X ii. −3X+1.5 iii. X−Y+2 iv. 4X−2Y+5 v. −3X−4Y−5
Answers
The expectations and variances of the given linear fraction combinations of X and Y are:i. E(3X) = 30, Var(3X) = 90
ii. E(-3X + 1.5) = -28.5, Var(-3X
+ 1.5) = 90
iii. E(X - Y + 2) = -8, Var(X - Y + 2) = 5.76
iv. E(4X - 2Y + 5) = -5, Var(4X - 2Y + 5) = 305.28
v. E(-3X - 4Y - 5) = -125, Var(-3X - 4Y - 5) = 589.2
(a) Calculate Cov(X, Y):
Cov(X, Y) = rho * sqrt(Var(X) * Var(Y))
Given that rho = 0.8, Var(X) = 10, and Var(Y) = 16, we can substitute these values into the formula:
Cov(X, Y) = 0.8 * sqrt(10 * 16)
= 0.8 * sqrt(160)
= 0.8 * 12.65
= 10.12
Therefore, Cov(X, Y) is approximately 10.12.
(b) Calculate the expectation and variance of the following linear combinations of X and Y:
i. 3X:
Expectation: E(3X) = 3 * E(X) = 3 * 10 = 30
Variance: Var(3X) = (3^2) * Var(X) = 9 * 10 = 90
ii. -3X + 1.5:
Expectation: E(-3X + 1.5) = -3 * E(X) + 1.5 = -3 * 10 + 1.5 = -28.5
Variance: Var(-3X + 1.5) = (-3^2) * Var(X) = 9 * 10 = 90
iii. X - Y + 2:
Expectation: E(X - Y + 2) = E(X) - E(Y) + 2 = 10 - 20 + 2 = -8
Variance: Var(X - Y + 2) = Var(X) + Var(Y) - 2 * Cov(X, Y)
= 10 + 16 - 2 * 10.12
= 26 - 20.24
= 5.76
iv. 4X - 2Y + 5:
Expectation: E(4X - 2Y + 5) = 4 * E(X) - 2 * E(Y) + 5 = 4 * 10 - 2 * 20 + 5 = -5
Variance: Var(4X - 2Y + 5) = (4^2) * Var(X) + (-2^2) * Var(Y) + 2 * 4 * Cov(X, Y)
= 16 * 10 + 4 * 16 + 2 * 4 * 10.12
= 160 + 64 + 81.28
= 305.28
v. -3X - 4Y - 5:
Expectation: E(-3X - 4Y - 5) = -3 * E(X) - 4 * E(Y) - 5 = -3 * 10 - 4 * 20 - 5 = -125
Variance: Var(-3X - 4Y - 5) = (-3^2) * Var(X) + (-4^2) * Var(Y) + 2 * 3 * 4 * Cov(X, Y)
= 9 * 10 + 16 * 16 + 2 * 3 * 4 * 10.12
= 90 + 256 + 243.2
= 589.2
Therefore, the expectations and variances of the given linear combinations of X and Y are:
i. E(3X) = 30, Var(3X) = 90
ii. E(-3X + 1.5) = -28.5, Var(-3X
+ 1.5) = 90
iii. E(X - Y + 2) = -8, Var(X - Y + 2) = 5.76
iv. E(4X - 2Y + 5) = -5, Var(4X - 2Y + 5) = 305.28
v. E(-3X - 4Y - 5) = -125, Var(-3X - 4Y - 5) = 589.2
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Find the x-intercept and y-intercept of the graph of of the equation: y=8-3x
Answers
Answer:
x-intercept: x = 8/3
y-intercept: y = 8
Step-by-step explanation:
x-intercept
\(y = 8 - 3x\)
\(0 = 8 - 3x\)
\(3x = 8\)
\(x = \frac{8}{3} \)
••••
y-intercept
\(y = 8 - 3x\)
\(y = 8 - 3 \times 0\)
\(y = 8\)
Find the mean of the given data. 3,4,5,7,10,12,15
Answers
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
8
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
Step-by-step explanation:
First Let's know how to find the mean;
Add up all data values to get the sumCount the number of values in your data setDivide the sum by the countThe mean is the same as the average value in a data set.
Solve;
3+4+5+7+10+12+15=56
Count; 3,4,5,7,10,12,15=7
Now divide..
56/7 = 8
Hence, Mean of the given date is 8.
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
~[RevyBreeze]~
In this task, you'll write three diary entries. As you write, please keep in mind the elements of diary
writing. You will probably have to do some research into some of the diary entry topics in order to
fully understand them.
First, choose any three topics from the six listed below:
Think about your biggest pet peeve and write an entry explaining what that pet peeve is and
why it bothers you.
• Who do you believe is the most fascinating famous person? The individual you choose can be
living or dead. Write an entry explaining who this person is and why you think they are
fascinating
The author Mark Twain once said, "Humor is tragedy plus time." Keeping in mind what you
know about the words humor and trageny, write an entry explaining what this quote may
mean. In your entry, use an example from your life to support your explanation.
• Has there ever been a time in your life when you felt invisible? Think of this time and write an
entry explaining what happened to make you feel this way and how you dealt with the
feeling
• Many people believe that it is important to find ways to pay it forward in their daily lives.
Think about what "pay it forward" means. Write an entry explaining what you believe this
expression means and provide an example of this practice that you have witnessed.
• Think about a time in your life when you had to deal with adversity. Write an entry explaining
the situation. In the entry, explain how the situation made you feel and how you overcame
those feelings
WRITE THE ESSAY DOWN PLZZZZ ILL
Answers
Answer:
Dear diary,
I know I haven't written in you for awhile, but I've been busy with school. I had a really cool teacher this year that helped me through US History. Okay, it took a bit of energy and yeah maybe it wasn't personally fun fighting with myself to remember answers, but he had a game that helped me practice and beat the tests and quizes. At the time I was in class he waited until everyone was done with notes and gave us a free 100% for every chapter notes we finished. He helped everyone and got them finished in time.
I hope I have this teacher again next year.
Dear diary,
I have many pet peeves...
- People who can’t FREAKIN cover themselves when they sneeze or cough!
- People who interrupt when I am speaking
- Slow Walkers
- Rude/Slow drivers
- Know-it-all’s
- Someone leaving the water running and same goes for lights
- People who talk while their mouth is full
And that’s all I could think of..and these bother me because they just do. Like it’s rude, unhygienic, and not environmentally friendly.
Step-by-step explanation:
Answer:
I hope this helps!! also don't forget to paraphase this!!
Step-by-step explanation:
Many people believe that it is important to find ways to pay it forward in their daily lives. Think about what “pay it forward” means. Write an entry explaining what you believe this expression means and provide an example of this practice that you have witnessed.
I feel the meaning of “pay it forward” means responding to kindness to yourself with kindness to someone else.
Dear diary, There was one time one of these little kids were all alone and were crying and I decided that I would give the kid company. I had asked her what was wrong and she had said her friends were ignoring her and at that time that was happening to me too! So I decided we would go tell the yard duty. Once we had told the yard duty, the yard duty had said show me where they are. Once we showed her they talked and the little girl gave me a big bear hug!
Years passed and I was all alone and one of my friends (Connor) had seen me and asked if I was ok. I said I guess I’m just bored and don’t want to play what my friends were playing. He said come play with me! We started to play kickball and I absolutely enjoyed it until his brother came to play. I didn't like him playing because he always made fun of me when I couldn’t kick it. I eventually didn’t want to play anymore because of Connor’s brother so I went to sit back down by the tree I was sitting at before. Conner didn’t like the way his brother was treating me.
After I had told him, he asked me what was wrong. I told him I didn't like the way his brother Anthony was treating me . He said he would make sure his brother wouldn’t be mean anymore. I came back to play kickball again and Anthony started calling me a crybaby because I left. I was about to burst into tears until Connor told his brother to knock it off or he would hit him in the head with a ball! I laughed, Connor laughed, and even Anthony’s friends laughed!!
In conclusion, this story is an example of “pay it forward”. There are very many examples that everyone can relate to. This story explains what paying it forward means because kids could help bullying and know that they helped a kid extremely and could help the child that is getting bullied to help someone else.
Which two of the following numbers are rational?
1/3
.10
.π
√2
Answers
Answer:
1/3, 0.10
Step-by-step explanation:
Rational numbers can be expressed as a fraction of two integers.
1/3 is rational. When it is expressed as a fraction, it's 1/3. 1 is an integer, and 3 is an integer
0.10 is rational. It can be rewritten to be expressed as the fraction 1/10; 1 is an integer, and 10 is an integer.
.\(\pi\) is irrational, because when expressed as a fraction, it is 1/\(\pi\). 1 is an integer, but \(\pi\) is not. Both numbers need to be integers in order to be rational. Therefore, it is irrational
√2 is irrational. When expressed as a fraction, it's √2/1. √2 is not an integer. 1 is an integer. However, both numbers have to be integers in order to be rational. Therefore, √2 is not rational.
Solve for c law of sines
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Answer:
c/sin(60°) = 14/sin(25°)
c = 14sin(60°)/sin(25°) = 28.7
I’m confused on what number 4 means. Can someone please help?
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Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on
Step-by-step explanation:
Help me please :) will mark brainiest
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Answer:
1. The length of a necklace that you make at a rate of 10 cm per hour without taking a break.
Step-by-step explanation:
Okay so lets think about this by first looking at the graph we are given.
Whatever is going on, its going up, and steadily. There's no points were the line goes down or curves, right? So it's constant and forward. So now let's look at the possible answers.
1. The length of a necklace that you make at a rate of 10 cm per hour without taking a break.
Is is constant? Yes, the rate is 10 cm/hr. Does it stop? No, you don't take a break. Is it forward? Yes, you are making more of the necklace, not less.
Thinking of the y-axis as amount of necklace made, and x-axis as time spent, this is the right graph.
So this is your answer!! Just to be sure, let's look at the other possible answers.
2. The height of a balloon as it rises, gets caught in a tree, then continues to rise.
This is not constant, because it gets stuck and stops. But it is forward, because it is rising.
Thinking of the y-axis as the height of the balloon, and x-axis as time passed, this is NOT the right graph.
This is not the answer.
3. The total distance you are from home if you ride your bike three mi/hr for 1 hour, then stop for a rest.
It is not constant, because you stop and take a break. But it is forward, because you are moving forward.
Thinking of the y-axis as the speed or distance from home, and x-axis as time passed, this is NOT the right graph.
This is not the answer.
4. The volume of water in a bath tub as it is draining.
This one IS constant, but in the wrong direction. The tub is draining, not filling, so the amount is decreasing. This would be the correct graph, if the slope were negative and the line was like this \ and not like this /.
Thinking of the y-axis as the amount of water in the tub, and x-axis as time passed, this is NOT the right graph.
This is not the right answer.
These leave us with the first answer as being correct.