Pls i need this asap.
P.S. its not 371,450

The exact x-coordinate of the point  is frac{1163}{291}6

The curve is given by {x = t² + 1, y = t² - t}.

Let's find dy/dx in terms of t as follows:

frac{dy}{dx} = frac{dy/dt}{dx/dt} = frac{(2t - 1)}{(2t)} = 1 - frac{1}{2t}

Therefore, when dy/dx = 27, we have:

1 - frac{1}{2t} = 27

Rightarrow 2t - 1 = frac{2}{27}

Rightarrow t = frac{29}{54}

The x-coordinate is given by x = t² + 1, therefore, we have:

x = left(frac{29}{54}right)^2 + 1

= frac{1163}{2916}

Hence, the exact x-coordinate of the point on the curve where the tangent line has slope 27 is frac{1163}{291}6

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With regard to a​ regression-based forecast, the standard error of the estimate gives a measure of option (C) the variability around the regression line

The standard error of the estimate in a regression-based forecast is a measure of the variability of the actual data points around the predicted values of the regression line.

It tells us how much the actual data points are likely to deviate from the predicted values, and provides a measure of the accuracy of the forecast. It is not related to the time required to derive the forecast equation, the maximum error of the forecast, or the time period for which the forecast is valid.

Therefore, the correct option is (C) The variability around the regression line.

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The give question is incomplete, the complete question is:

With regard to a​ regression-based forecast, the standard error of the estimate gives a measure of:

A. the time required to derive the forecast equation.

B. the maximum error of the forecast.

C. the variability around the regression line.

D. the time period for which the forecast is valid.

Answer:

B. 8 x (-$12.50)

Step-by-step explanation:

No, these ratios are not equivalent.

Answer:

No they are not

Step-by-step explanation:

Answer:

B Margaret

Step-by-step explanation:

lance = 70¢

margaret = 3/4× 100¢ = 75¢

guy = .25× 2 = 50¢

bill= 6× 10 = 60¢

margaret has the most

Answer:

38

Step-by-step explanation:

mhmm

The equation that can be used to determine the weight of the textbooks is  t = 0.7(t + 4 + 2) = t

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, the notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, seventy percent of the total weight is textbooks,

Let the weight of the textbooks= t

The backpack of the book= 2 pounds

The weight notebook in total = 4 pounds

But remember that 70% of total weight is the textbooks.

Therefore, the equation can be computed as

70%(t + 4 + 2) = t

0.7(t + 4 + 2) = t

Hence, the equation that can be used to determine the weight of the textbooks is  t = 0.7(t + 4 + 2) = t

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Answer:

The length of each ribbon is 1.6 inches

Step-by-step explanation:

From the question, we are told that:

Kenedi has a piece of ribbon that measures 24 inches long. She cuts the ribbon into 15 equal pieces to attach to her dance costume

Hence, the expression that can be used to show how to calculate the length of each piece of ribbon is given as:

24 inches ÷ 15 pieces

= 24 ÷ 15

= 1.6 inches

Therefore, the length of each ribbon is 1.6 inches

Answer:

\sqrt{81 + x^2} = y

\sqrt{y^2 - 7^2} = x

Step-by-step explanation:

They would be Pythagorean Triples.

a^2 + b^2 = c^2

9^2 + x^2 = y^2

\sqrt{81 + x^2} = y

7^2 + x^2 = y^2

x^2 = y^2 - 7^2

\sqrt{y^2 - 7^2} = x

The prime factorization of 64 :

64 divided by 2 = 32

32 divided by 2 = 16

16 divided by 2 = 8

8 divided by 2 = 4

4 divided by 2 = 2

2 divided by 2 = 1

So,

64 = 2 x 2 x 2 x 2 x 2 x 2

Answer: 3 Gallons

Step-by-step explanation:we divide 65 by 5 and it comes out to 13 so 13 is our miles per gallon and we divide it by 39 and end up with 3 gallons

Answer: f(0) = 0

Step-by-step explanation: anything multiplied by 0 is 0.

The value of   \(f'(0)=\frac{-2}{5}\)

What is Derivative of a function?

The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument

It is denoted by f ' ( x ) = dy / dx

Given data ,

Let the function be f ( x ) =   \(ln(x + 4 + e^{-3x} )\)

To differentiate f ( x ) ,

Let  \(y=ln(a)\) , where \(a=x+4+e^{-3x}\)

So ,

\(e^{y} =a\)

Using this function , we can write

\(e^{y} = x + 4 + e^{-3x}\)

On differentiating , we get

\(e^{y}\frac{dy}{dx} = 1 + 0 -3e^{-3x}\)

Dividing by \(e^{y}\) on both sides , we get

\(\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{e^{y} }\)

We know , \(e^{y} =a\)

And \(e^{y}=x+4+e^{-3x}\)

So ,   \(\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }\)

Therefore \(f'(x)=\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }\)

Now , \(f'(0)=\frac{1-3e^{0}}{0+4+e^{0} }\)

\(f'(0)=\frac{-2}{5}\)

Hence , the value of   \(f'(0)=\frac{-2}{5}\)

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the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

rational

Step-by-step explanation:

a rational number can be expressed in the form

\(\frac{a}{b}\) where a and b are integers

\(\frac{-20}{2}\) is in this form and is therefore rational

Answer:

rational

Step-by-step explanation:

Rational Numbers    :  

                                   It is expressed in the ratio, where both numerator and                             denominator are the whole numbers

well, let's move like the crab, backwards, let's start with b), then we'll do a)

b)

\({\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=2\\ y=75 \end{cases}\implies 75=ab^2 \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=5\\ y=9375 \end{cases}\implies 9375=ab^5\implies 9375=ab^{2+3}\implies 9375=ab^2 b^3\)

\(\stackrel{\textit{substituting from the 1st equation}}{9375=\underset{ab^2}{(75)} b^3}\implies \cfrac{9375}{75}=b^3\implies 125=b^3 \\\\\\ \sqrt[3]{125}=b\implies \boxed{5=b}\hspace{5em}\stackrel{\textit{we know that}}{75=ab^2}\implies 75=a5^2\implies 75=25a \\\\\\ \cfrac{75}{25}=a\implies \boxed{3=a}\hspace{5em} {\Large \begin{array}{llll} y = 3(5^x) \end{array}}\)

a)

\(\begin{cases} x=0\\ y=j \end{cases}\implies j=3(5^0)\implies j=3(1)\implies j=3 \\\\\\ \begin{cases} x=4\\ y=k \end{cases}\implies k=3(5^4)\implies k=3(625)\implies k=1875\)

The probability that the sum of the numbers rolled on the dice is even =1/2.

For the given question,

A fair dice is rolled twice.

Six different results are available with a single roll of the dice (1,2,3,4,5,6)

Therefore, if two dice are rolled, there are a total of 36 possible results, or 6².

Sample space for the sum of even = [(1,1), (1,3), (1,5), (2,2), (2, 4),(2,6), (3, 1), (3,3),(3,5),(4,2),(4,4),(4,6), (5, 1), (5,3),(5,5),(6,2),(6,4),(6,6)]

Total sample space for sum of even = 18

For the probability that the sum of the numbers rolled is even is -

probability (sum is even) = 18 / 36 = 1/2

Thus, the probability that the sum of the numbers rolled is even is 1/2.

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Answer:

See below

Step-by-step explanation:

The LHS and RHS are exactly the same, so the equality is true.

The associate property of addition says that

\(\boxed{a+(b+c)=(a+b)+c}\)

In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.

\(\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )\)

\(\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}\)

\(\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}\)

\(\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}\)

\(\dfrac{ 23 }{12}\)

Answer:

You gotta give me (us) more to work with homie.

Step-by-step explanation:

If I have more of a picture with it I could possibly help but all there is a barely readable and legible nonsense equation. Sorry :(

Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

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Using Hypothesis testing, we can determine the rule for rejecting and fail to reject the null hypothesis i.e., bag is not underfilled.

It is given that distribution of data is normal in nature . It is given that bag is underfilled. We can use hypothesis testing for determine the required result. Firstly we state the Null and Alternative hypothesis,

H₀ : μ =421 : bag is not underfilled

Hₐ : μ > 421 : bag is underfilled

We have given that variance = 484 and population mean = 418

Standard deviations (σ) = √variance =√484 = 22 and n = 14

We use the Z- static test ,

Z = (X - μ) /σ/√n

Where X --> population mean

μ -->Sample mean

n --> sample size

Z = ( 418- 421) / 22 /√14 = -3 / 22 / √14

= - 0.0364, , this is one tailed test

As we know, p-value corresponding to Z-value is 0.051

The level of significance is 0.01 = 1%

i.e., α= 0.01

P-value > α

This implies null hypothesis is not rejected. So, bags are not underfilled.

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Answer:

90

Step-by-step explanation:

Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student

Answer: Because of PEMDAS, the way Morgan rewrote the expression would change the the order of the steps to simplify it.

Step-by-step explanation: PEMDAS is the order of operations and it stands for Parenthesis, Exponents, Multiply, Divide, Addition, and Subtraction. If we simplify Morgan's version of the expression, we would add 90+10 first, which makes 100, then add 4.8 which makes 104.8. We come to the same conclusion when simplifying the original expression, 104.8. The difference is that we add 10+4.8 first and then add it to 90. While in this situation, the outcome was not different, the order of operations was changed.

Answer:

4.92 ft

Step-by-step explanation:

The ladder is the hypotenuse of a right triangle

adjacent  leg / hypotenuse =  cos 75

cos 75 = adjacent leg / 19

19 cos 75 ° = adjacent leg = 4.92 ft

Answer:

I believe that 20 is missing from the table.

Step-by-step explanation:

There's a pattern in the table. It seems to go Y×1, Y×2, Y×3, Y×5.

The length of the side of LJ is 17.22.

Similar triangles:

Two triangles are similar if their corresponding angles are congruent (have the same measure) and their corresponding sides are in proportion to each other.

This means that if we take any two corresponding sides from the two triangles, and divide one by the other, the result will be the same for all pairs of corresponding sides.

Here we have

Triangle XYZ is similar to triangle JKL  

As we know,

In similar triangles the ratio of the corresponding side is equal

=> XY/JK = YZ/KL = ZX/LJ

From the figure,

=> 8.7/18.27 = 7.8/KL = 8.2/LJ

Now take 8.7/18.27 = 8.2/LJ  

=> 8.7/18.27 = 8.2/LJ

=> 8.7 (LJ) = 8.2(18.27)

=> 8.7 (LJ) = 149.814

=> LJ = 17.22

Therefore,

The length of the side of LJ is 17.22.

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To find the measure of angle BOC, set the expressions for m∠AOD and m∠BOC equal and solve for x. Then substitute the value of x back into the expression for m∠BOC to find its measure, which is 30°.

To find the measure of angle BOC, we can set the expressions for m∠AOD and m∠BOC equal to each other and solve for x.

7x - 5 = 3x + 15

Subtract 3x from both sides: 4x - 5 = 15

Add 5 to both sides: 4x = 20

Divide both sides by 4: x = 5

Now that we know x = 5, we can substitute it back into the expression for m∠BOC to find its measure.

m∠BOC = (3x + 15)° = (3*5 + 15)° = 30°

Therefore, the measure of ∠BOC is 30°, which corresponds to option B.

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The amount of cream in the coffee cup and the amount of coffee in the pitcher of cream remain the same.

When a spoonful of cream is taken from the pitcher and put into the coffee cup, the amount of cream in the pitcher decreases and the amount of cream in the coffee cup increases.

However, when a spoonful of the mixture is put back into the pitcher, the amount of cream in the pitcher increases again and the amount of cream in the coffee cup decreases.

Since the amount of coffee in the pitcher and the cup remains constant throughout this process, there is no net increase or decrease in the amount of coffee or cream in either container.

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