. Yesterday you wanted to make an enormous batch of rolls, so you borrowed some special yeast from your aunt’s top-secret bread research facility. Once you mixed the yeast, flour, and water, the dough began to double in volume every minute! After 13 minutes, at exactly 5:53, your bowl was half full. At what time will your bowl be full of dough?

The answer is $9,300

Answer:

64

Step-by-step explanation:

123+(-1)/2-(-3)=

122/2=61

61+3=64

Answer:

b. or c.

Step-by-step explanation:

Answer:

The anaswers are A and B

Step-by-step explanation:

An integral that will determine the volume of the solid obtained by rotating the region bounded by about the line is V = ∫ 2π(x - 3)((y² - 2) - x) dx

To find the volume of the solid, we can use the method of cylindrical shells. We'll divide the region into infinitely thin vertical strips and rotate each strip around the axis of rotation to form a cylindrical shell. The volume of each cylindrical shell can be calculated as the product of its height, circumference, and thickness.

Now, let's establish the limits of integration. Since we are rotating the region around the line x = 3, the thickness of each cylindrical shell will vary from x = -1 to x = 2, as these are the x-coordinates where the curves y = x and x = y² - 2 intersect. Therefore, our integral will have the limits of integration from -1 to 2.

Next, we need to determine the height of each cylindrical shell. This is given by the difference between the two curves y = x and x = y² - 2. So, the height of each cylindrical shell is (y² - 2) - x.

The circumference of each cylindrical shell is the distance around its curved surface. Since the axis of rotation is x = 3, the distance from the axis to the curve y = x is x - 3. Therefore, the circumference of each cylindrical shell is 2π(x - 3).

The thickness of each cylindrical shell is an infinitesimally small change in x, which we'll call dx.

Now we can set up the integral to find the volume. The volume of the solid can be calculated by integrating the product of the height, circumference, and thickness of each cylindrical shell over the limits of integration:

V = ∫ 2π(x - 3)((y² - 2) - x) dx

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Complete Question:

Create an integral that will determine the volume of the solid obtained by rotating the region bounded by y=x and x=y² −2 about the line x=3.

Answer:

yea i can help

Step-by-step explanation:

Answer:

MN = 20

QR = 80

PR = 100

AB = 76

The compression strength distributions are essentially normal.

Given info;

An article sought to compare the compression strength of strawberry drink-filled aluminum cans versus cola-filled cans. Does the information below imply that cola's additional carbonation increases its average compression strength? based on a p-value for your response.

From table,

H₀ : µ₁ - µ₂ = 0

Ha : µ₁ - µ₂ < 0

n₁ = n₂ = 15

x₁ = 540, s₁ = 21

x₂ = 554, s₂ = 15

df = 25

t = -2.10

Here, it is left-tailed and df=25, so the p-value of the test for t = -2.10 is 0.0229.

Since the p-value is less than 0.05, we reject the null hypothesis.

Rejecting H₀, the data suggests that cola has a higher average compression strength than the strawberry drink.

The distributions of compression strength are approximately normal.

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Answer: Point C is (0, -7)

Step-by-step explanation:

For a general line y = a*x +b

A perpendicular line to this one will have a slope equal to -(1/a)

First, for a line y = a*x + b that passes through points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Then for a line that passes through the points A (-4, 5) and B (5, 8) the slope is:

a = (8 - 5)/(5  - (-4))  = 3/9 = 1/3

a = 1/3

Then, a line perpendicular to this one will have the slope:

a' = -(1/(1/3) = -3

Then the perpendicular line is something like:

y = -3*x + b

Now we know that this line passes through point A, then when x = -4, we have y = 5

if we replace these values we get:

5 = -3*(-4) + b

5 = 12 + b

5 - 12  = b

-7 = b

Then our line is:

y = -3*x - 7

This line intersects the y-axis at point C, we know that the y-axis corresponds to x = 0.

Then:

y = -3*0 - 7

y = -7

The point C is (0, -7)

It will take 11 posts for the number of followers to be equal

They will have 255 folllowers each on the 11th post

Here, we want to get the number of posts that would make them both have the same number of followers

For the first person, her number of followers after n post will be;

For the second person, her number of follwers after n post will be;

Since we have that, after n posts, the number of followers will be equal; we simply go on to equate the two

Thus, we have this as;

So after 11 posts, the number of follwers they each have will be the same

Now, we want to calculate the number of followes they have at the 11th post

We just need to substitute for n in any of the equations

Thus, we have that, the number of followers is';

(a) The percentage of all American males who measure success primarily from their work is approximately (0.02147, 0.03847), or 2.15% to 3.85%.

(b) The significance level associated with this inference is 1% (100% - 99% confidence level).

(c) With α = 0.1, the critical value is approximately -1.28.

(d) H0: p 0.035 (The percentage of males who define success primarily in terms of their ability to work)

Ha: p 0.035 (Less than 3.5% of males define success primarily on terms of their employment).

(a) To estimate the percentage of all American males who measure success primarily from their work, we can use the sample proportion and construct a confidence interval.

Given: Sample size (n) = 1302

Number of men who measure success primarily from their work (x) = 39

We can calculate the sample proportion (p-hat) as:

p-hat = x / n = 39 / 1302 ≈ 0.02997

To construct a confidence interval at a 99% confidence level, we can use the formula for the margin of error (E):

E = Z ×√((p-hat×(1 - p-hat)) / n)

Since the confidence level is 99%, the corresponding critical value Z can be found using a Z-table or calculator. For a 99% confidence level, Z ≈ 2.576.

Calculating the margin of error:

E = 2.576 ×√((0.02997× (1 - 0.02997)) / 1302) ≈ 0.0085

The confidence interval can be calculated as:

p-hat ± E

0.02997 ± 0.0085

Therefore, the 99% confidence interval for the percentage of all American males who measure success primarily from their work is approximately (0.02147, 0.03847), or 2.15% to 3.85%.

(b) Without conducting the hypothesis test, we can examine the confidence interval to see if it falls below the 3.5% mark. In this case, the lower bound of the confidence interval is 2.15%, which is below the 3.5% mark. Since the entire confidence interval is below 3.5%, it indicates evidence that the fraction of men who measure success primarily by their work has fallen below 3.5%. The significance level associated with this inference is 1% (100% - 99% confidence level).

(c) To carry out the hypothesis test with α = 0.1, we can use three methods: the critical value approach, the p-value approach, and the confidence interval approach.

Critical Value Approach:

State the null hypothesis (H0) and alternative hypothesis (Ha):

H0: p ≥ 0.035 (The proportion of men who measure success primarily from work is greater than or equal to 3.5%)

Ha: p < 0.035 (The proportion of men who measure success primarily from work is less than 3.5%)

Determine the significance level (α): α = 0.1

Compute the test statistic:

z = (p-hat - p) / √((p× (1 - p)) / n)

Determine the critical value for the given significance level α:

For a one-tailed test with α = 0.1, the critical value is approximately -1.28.

Compare the test statistic with the critical value:

If the test statistic is less than the critical value, reject the null hypothesis; otherwise, fail to reject the null hypothesis.

P-value Approach:

State the null hypothesis (H0) and alternative hypothesis (Ha):

H0: p ≥ 0.035 (The proportion of men who measure success primarily from work is greater than or equal to 3.5%)

Ha: p < 0.035 (The proportion of men who measure success primarily from work is less than 3.5%)

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Answer:$278

Step-by-step explanation:

You would do $37+ $19 for the first month=$56

Then 37x6 for the next months=$222

And then add them together to get $278

Answer:

7x37=259+19=$278

Step-by-step explanation:

The power set in roster notation requires listing all the possible subsets of a set, including the empty set and the set itself. The number of subsets in a power set can be calculated using the formula 2^n, where n is the number of elements in the original set.

The power set of a set is the set of all its subsets, including the empty set and the set itself. To write out the power set in roster notation, we need to list all the possible subsets of a given set.
(a) The set {a} has two subsets: {a} and {}. Therefore, the power set of {a} in roster notation is {{}, {a}}.
(b) The set {1,2} has four subsets: {1,2}, {1}, {2}, and {}. Therefore, the power set of {1,2} in roster notation is {{}, {1}, {2}, {1,2}}.
It is important to note that the cardinality (number of elements) of the power set of a set with n elements is 2^n. For example, the set {1,2} has two elements, so its power set has 2^2 = 4 subsets. Similarly, the set {a} has one element, so its power set has 2^1 = 2 subsets.
In conclusion, writing out the power set in roster notation requires listing all the possible subsets of a set, including the empty set and the set itself. The number of subsets in a power set can be calculated using the formula 2^n, where n is the number of elements in the original set.

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Answer:

Read Exp:

Step-by-step explanation:

Exponents are like a simpler way to multiply something by itself a certain amount of times.

So like if you were to see 7^4 on a test or assignment you would solve it like this:

- 7x7x7x7.

It just means 7 times itself 4 times. NOT 7 times 4.  

1) The first iteration, n, turns out to be (x1, y1) = ( , ).

2) If the second iteration, n, is (x2, y2) = ( , ).

To find the values of (x1, y1) and (x2, y2), we need additional information or the specific steps of the gradient method applied in MATLAB. The gradient method is an optimization algorithm that iteratively updates the variables based on the gradient of the function. Each iteration involves calculating the gradient, multiplying it by the learning rate (λ), and updating the variables by subtracting the result.

3) After s many iterations (and perhaps changing the value of λ to achieve convergence), it is obtained that the minimum is found at the point (xopt, yopt) = ( , ).

To determine the values of (xopt, yopt), the number of iterations (s) and the specific algorithm steps or convergence criteria need to be provided. The gradient method aims to reach the minimum of the function by iteratively updating the variables until convergence is achieved.

4) The value of the minimum, once the convergence is reached, will be determined by evaluating the function at the point (xopt, yopt). The specific value of the minimum is missing and needs to be provided.

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the complete question is:

Matlab The Gradient Method Was Used To Find The Minimum Value Of The Function North F(X,Y)=(X^2+Y^2−12x−10y+71)^2 Iterations Start At The Point (X0,Y0)=(2,2.6) And Λ=0.002 Is Used. (The Number Λ Is Also Known As The Size Or Step Or Learning Rate.) 1)The First Iteration N Turns Out To Be (X1,Y1)=( , ) 2)If The Second Iteration N Is (X2,Y2)=( ,

Matlab

The gradient method was used to find the minimum value of the function north

f(x,y)=(x^2+y^2−12x−10y+71)^2 Iterations start at the point (x0,y0)=(2,2.6) and λ=0.002 is used. (The number λ is also known as the size or step or learning rate.)

1)The first iteration n turns out to be (x1,y1)=( , )

2)If the second iteration n is (x2,y2)=( , )

3)After s of many iterations (and perhaps change the value of λ to achieve convergence), it is obtained that the minimum is found at the point (xopt,yopt)=( , );

4)Being this minimum=

Answer:

-5 1/2

Step-by-step explanation:

-5 1/2=-5.5 which is closer to 0

Hey there!

GUIDE:

> is greater than

• is the GREATER THAN the other number

< is less than

• your number is LESS THAN the other number

≥ is greater than or equal to

• it means that either a number is greater or equal to the other number

≤ Is less than or equal to

• it means that either a number is less or equal to the other number

= is equal

• it means that it is equal to the other number

SOLVING FOR YOUR ANSWER!

-5 1/2 __?__ -6.5

-5 1/2

= -5 * 2 + 1 / 2

= -10 + 1 / 2

= -11 / 2

= -5.5

= -5.5 > -6.5

Therefore, your answer should be:

-5 1/2 > -6.5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

The 95% confidence interval for the mean is approximately;

(9.063, 9.737)

Step-by-step explanation:

The given parameters are;

The mean of the sample, \(\overline x\) = 9.4

The sample variance, s² = 0.49

The sample size, n = 19

The confidence level = 95%

Therefore, we get;

\(CI=\bar{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}\)

The degrees of freedom, df = n - 1

∴ df = 19 - 1 = 18

From the t-table, the critical-t = 2.101

Therefore, we have;

\(CI=9.4\pm 2.101 \times \dfrac{\sqrt{0.49} }{\sqrt{19}}\)

Therefore, we have;

9.4 - 2.101×√(0.49/19) < μ < 9.4 + 2.101×√(0.49/19)  

9.0626 < μ < 9.737

∴ The 95% confidence interval for the mean ≈ (9.063, 9.737)

Answer:its correct

Step-by-step explanation:

Answer:

the difference between -4 and 1 is 3. distance is always positive.

8 less than 2, is -6. (I'm pretty sure)

13 more than -1 should be 12.

to get 2 add 8. -6+8 is 2.

to get -3 subtract 10 from 7.

Toronto is 12°C cooler than Tokyo.

Step-by-step explanation:

hope this helps

0.99999028444 is the probability that at most 22 heads occur.

What does the maths term "probability" mean?

The simple definition of probability is the likelihood that something will occur. We can discuss the probability of different outcomes if we are unclear of how an event will turn out. Probability is a measure of how likely or likely-possible something is to happen.

                               For instance, there is only one method to receive a head and there are a total of two possible outcomes, hence the chance of flipping a coin and receiving heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

probability of getting head,  P = 1/2 = 0.5

        q = 1 - p  = 1 - 0.5 = 0.5   and n = 25

 P(X ≤ 22)

 P(X = x ) = ⁿCₓ (q)ⁿ⁻ˣ (p)ˣ

      = 1 - P(x = 23) - P(24) - P(25)

  = 1 - ²⁵C₂₃(0.5)²⁵⁻²³ (0.5)²³ - ²⁵C₂₄ (0.5)²⁵⁻²⁴ (0.5)²⁴ - ²⁵C²⁵ (0.5)²⁵⁻²⁵ (0.5)²⁵

        = 0.99999028444

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Answer: A

Step-by-step explanation:

: 4x+25, 3x+15. x=10

According to the given information, the function g(x) that represents a horizontal stretch of 3 on f(x) = 2x is \(\rm g(x) = \frac{2}{3}x$\). Thus, option A is correct.

A functiοn is a relatiοn between a set οf inputs and a set οf pοssible οutputs, with the prοperty that each input is related tο exactly οne οutput.

Tο create a hοrizοntal stretch οf 3 οn the functiοn f(x) = 2x, we can replace x in the functiοn with x/3, which will cause the οutput tο take three times the input value. This gives us the functiοn:

\($$ g(x) = f\left(\frac{x}{3}\right) = 2\left(\frac{x}{3}\right) = \frac{2}{3}x $$\)

Therefore, the function g(x) that represents a horizontal stretch of 3 on f(x) = 2x is \(g(x) = \frac{2}{3}x$.\)

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Complete question:

Create a stretch of 3 on function f(x) = 2x to make g(x)

[Group of answer choices]

a. \(\rm g(x) = \tfrac{2}{3}x$\)

b.  \(\rm g(x) = \tfrac{3}{2}x$\)

c.  \(\rm g(x) = {2}x^3$\)

d. \($\rm g(x) = \sqrt[3]{{2}x} $\)

In this case using the elimination method is actually easier, but the question asks you to use substitution method so....

2x+y= -10

3x-y=0

1st equation: It is better to isolate 2x on both sides because the y is going to be positive no matter what, 2x+y=-10 => y=-2x-10

If you isolated 3x for the 2nd equation, the y will be negative, and you have to divide the whole equation by -1 to make it positive

Now we got y=-2x-10, lets substitute it in the 2nd equation and solve for x:

3x-(-2x-10) = 0

5x+10=0

5x=-10

x=-2

Now lets solve for y:

3(-2)-y=0

-6-y=0

y=-6

Lets see if the same is applicable for 1st equation

2(-2)+(-6)=-10

-10=-10

Yess!!

(-2,-6) is the solution

The answer to the question is explained at the beginning

Hope it helps!

Answer:fixed cost=10

Independent variable=months paid

Dependent=hours on support

month=x,h=hour,10x+35h=total cost

97.50=10+35h

87.50=35h

h=2.5 hours

Step-by-step explanation:

showed work

here this probally will help

Answer:

5, 3

Step-by-step explanation:

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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Answer:

-6, -4

Step-by-step explanation:

I got it right

Answer:

a) -0.25 and 1.25

b) -0.5 and 1.5

Step-by-step explanation:

a) For 4x^2-4x -1 = 0

What we have to do here is to simply find he points on the x-axis in which the graph crosses it

we have this as;

approximately-0.5 and 1.5

what we are saying is that the plot crosses the x-axis at x = -0.25 and x = 1.25

ii) what we have to do here is to find the point at which y = 2

After finding this point, we trace it to the plot sideways, before we trace to the x-axis

By tracing, we have the crossing on the x-axis at these points at -0.5 and 1.5

Answer:

1/2h=W

Step-by-step explanation:

1 liter/2 hours

1/2 liter/hour

W=Amount of water lost

H=hours

Answer:

w=1/3h

Step-by-step explanation:

Any equation that can be rearranged into the form y = m x - c , will have a straight line graph.

Equation

Like y=mx+c ,this equation y = mx - c  also refers to an equation of a line having a gradient of m and a y-intercept of -c. This equation is often referred to as the slope-intercept form of the equation of a line. This equation also forms an important equation in the new science of artificial intelligence, to help predict the values, based on the input variable values.

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$2 is the balance change with each lunch bought and it is positive.

Given that, when Dylan checks his school lunch account, the balance is $56. After buying 8 lunches, the balance is $40. Now, we have to calculate the balance change in each lunch bought and we have also show whether the change is positive or negative.

So, let Dylan spend x for buying 8 lunches.

⇒ $56 - x = $40

⇒ $56 - $40 = x

⇒ $16 = x

Therefore, 8 lunches costs $16.

⇒ one lunch will cost = $16/8 = $2

Hence, $2 is the cost of buying one lunch.

So, let's represent the balance change after each lunch bought by Dylan for $2.

Balance:  $56 - $2 = $54

                $54 - $2 = $52  

                $52 - $2 = $50

                $50 - $2 = $48

                $48 - $2 = $46

                $46 - $2 = $44

                $44 - $2 = $42

                $42 - $2 = $40

The change after deduction of $2 results in positive balance in all the deduction.

So, $2 is the balance change with each lunch bought and it is positive.

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