In(3) Differentiate: y = x8 dy = da

Answer:

1 solution

No solution

Infinitely many solutions

1 solution

Step-by-step explanation:

2.3x - 7 = -7

2.3x = 0

x = 0

1 solution

3x = 5 + 3x

0 = 5

No solution

4(10 - x) = 40 - 4x

40 - 4x = 40 - 4x

Infinitely many solutions

-7 + x = -(x + 7)

-7 + x = -x - 7

2x = 0

x = 0

1 solution

Answer:

he is right

Step-by-step explanation:

The value of x in the diagram is 9

equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. Just like other types of triangles, an equilateral triangle also has its area, perimeter and height formula

From the diagram all the sides are equal which means it is an equilateral triangle in which each angle is equal to 60°

To find x,

7x -3 = 60

7x = 60 + 3

7x = 63

x = 63/7

x = 9

In conclusion the value of x is 9

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The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

Some key features regarding null hypothesis are-

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The probability that the Cubs will win the World Series is approximately 0.21048 or 21.05% (in percent form).

To calculate the probability that the Cubs will win the World Series, we need to consider the different possible outcomes.

In order for the Cubs to win the World Series, they must win 4 games before the Red Sox do. This can happen in several ways:

Let's calculate the probability for each scenario and then add them up to find the total probability.

Now, we can add up these probabilities to find the total probability of the Cubs winning the World Series:

Total probability = 0.1296 + 0.05184 + 0.020736 + 0.0082944 = 0.21048

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The probability that the Cubs will win the World Series is approximately 0.3456 or 34.56%.

To calculate the probability that the Cubs will win the World Series, we can consider the different possible outcomes of the series. If the Cubs win a game with a probability of 3/5, then the Red Sox win a game with a probability of 2/5. The Cubs need to win 4 games in total to win the series, so the probability can be calculated using the binomial distribution.

The probability that the Cubs win the World Series can be found by summing the probabilities of each possible outcome where the Cubs win 4 games before the Red Sox. The formula for this is:

P(Cubs win the World Series) = (4 choose 4) * (3/5)^4 * (2/5)^0 + (4 choose 3) * (3/5)^3 * (2/5)^1 + (4 choose 2) * (3/5)^2 * (2/5)^2 + (4 choose 1) * (3/5)^1 * (2/5)^3

Simplifying this expression, the probability that the Cubs win the World Series is approximately 0.3456 or 34.56%.

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The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.

The given function is f(x) = e^x near x = 0.

To find the best linear approximation, L(x), we use the formula:

L(x) = f(a) + f'(a)(x-a),

where a is the point near which we are approximating.

Let a = 0, so that a is near the point x = 0.

f(a) = f(0) = e^0 = 1

f'(x) = d/dx (e^x) = e^x;

so f'(a) = f'(0) = e^0 = 1

Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1

Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.

For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.

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Answer:

y ≥ 5

Step-by-step explanation:

\(\frac{6y}{6}\ge \frac{30}{6}\\\frac{30}{6} = 5\\y \ge 5\)

Hope this helps.

The solution to the initial-value problem x(x + 1) dy/dx + xy = 1, y(e) = 1 is y = ln(x + 1) / x.

To solve the given initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have dy/dx + (xy / (x(x + 1))) = 1 / (x(x + 1)).

The integrating factor is given by μ(x) = exp ∫ (xy / (x(x + 1))) dx. Simplifying the integral, we have μ(x) = exp ∫ (1 / (x + 1)) dx = exp(ln(x + 1)) = x + 1.

Multiplying the entire equation by the integrating factor, we obtain (x + 1)dy/dx + xy = (x + 1) / (x(x + 1)).

The left side of the equation can be written as d((x + 1)y)/dx. Integrating both sides with respect to x, we have ∫ d((x + 1)y)/dx dx = ∫ (x + 1) / (x(x + 1)) dx.

Simplifying the right side of the equation, we get ∫ dx / x = ln|x| + C.

Dividing both sides by (x + 1), we have (x + 1)y = ln|x| + C.

Finally, solving for y, we find y = (ln|x| + C) / (x + 1). Using the initial condition y(e) = 1, we can substitute x = e and solve for C to obtain the specific solution y = ln(x + 1) / x.

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The value of x is 30 finding by using arithmetic operations.

Further, for the x-day period,

Pizza days

\(= x days \times (3 days out of total of 5 days) \\= x days \times \frac{3}{5} \\= \frac{3x}{5} days\)

similarly

Sandwich days = x days (2 days out of total of 5 days) \(=\frac{2x}{5}\) days

If total pizza days = total sandwich days, then

\(18+ \frac{3x}{5} = 24+ \frac{2x}{5}\)

subtract \(\frac{2x}{5}\) from each side

\(18+ \frac{3x}{5}- \frac{2x}{5} = 24\\ \Rightarrow 18 + \frac{x}{5} = 24\)

subtract 18 from each side,

\(18-18 + \frac{x}{5} = 24-18 \\\Rightarrow \frac{x}{5} = 24-18 = 6 \\\Rightarrow x=5 \times 6=30\)

Check:

Pizza days = 18+30\(\times \frac{3}{5}\) = 36 days

Sandwich days = 24 + 30\(\times \frac{2}{5}\) = 24+12 = 36 days

The value of x Over 42 days, Dave had pizza 3 times for every 4 times he had a sandwich." 3=number of pizza days in a week.

so over 42 days, there are 6 weeks, so there are 6*3=18 pizza days.

If we calculate differently,

put Pizza days (out of 42) = (42/7)[# of weeks] * 3 [ pizza days / week]

which is the same as 42 days * (3/7) number of pizza days per 7 days.

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Answer:

the answer will be D because it looks like it would be d

Answer: The first one

Step-by-step explanation:

Answer:

1/30

Step-by-step explanation:

We multiply all the terms by the denominator

-6×5x+1=0

Wy multiply elements

-30x+1=0

We move all terms containing x to the left, all other terms to the right

-30x=-1

x=-1/-30

x=1/30

Answer: 12

Step-by-step explanation:

Answer:

C.) This system has infinitely many solutions.

Step-by-step explanation:

y = 2x - 4

2x - y - 4 = 0

2x - y - 4 = 0 can be rewritten as y = 2x - 4 as shown below

2x - y - 4 = 0

-y = -2x + 4

-y/-1 = -2x/-1 + 4/-1

y = 2x - 4

y = 2x - 4 is equal to 2x - y - 4 = 0 because the slope is both 2 and both its y-intercept is -4, these two are coincidence, as they call it, meaning these two lines are the same, so its solutions are anywhere on its line. Shown below in a graph.

To subtract 5xy + 6x^2 - 8y^2 from 9x^2 - 10xy - 5y^2 + 4, we need to combine like terms.

First, let's distribute the negative sign to each term in 5xy + 6x^2 - 8y^2 to get:

-5xy - 6x^2 + 8y^2

Now we can group the like terms together and subtract them from the other expression:

(9x^2 - 10xy - 5y^2 + 4) - (5xy + 6x^2 - 8y^2)

= 9x^2 - 10xy - 5y^2 + 4 - 5xy - 6x^2 + 8y^2

= (9x^2 - 6x^2) + (-10xy - 5xy) + (-5y^2 + 8y^2) + 4

= 3x^2 - 15xy + 3y^2 + 4

Therefore, the result of subtracting 5xy + 6x^2 - 8y^2 from 9x^2 - 10xy - 5y^2 + 4 is 3x^2 - 15xy + 3y^2 + 4.

Answer:

3x^2 - 15xy + 3y^2 + 4

Step-by-step explanation:

To subtract 5xy + 6x^2 - 8y^2 from 9x^2 - 10xy - 5y^2 + 4, we can combine like terms:

9x^2 - 10xy - 5y^2 + 4 - (5xy + 6x^2 - 8y^2)

Simplifying the expression inside the parentheses:

= 9x^2 - 10xy - 5y^2 + 4 - 5xy - 6x^2 + 8y^2

Combining like terms again:

= (9x^2 - 6x^2) + (-10xy - 5xy) + (-5y^2 + 8y^2) + 4

= 3x^2 - 15xy + 3y^2 + 4

Therefore, the result of subtracting 5xy + 6x^2 - 8y^2 from 9x^2 - 10xy - 5y^2 + 4 is 3x^2 - 15xy + 3y^2 + 4.

1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.

  The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.

  Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word

  Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.

  Probability of choosing AA = Number of favorable outcomes / Total number of outcomes

  Probability of choosing AA = 0 / 30 = 0.

Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

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Answer:

i only know this

The equation of the line of slope 4 is y=4x+b. The line goes through (-1,-6) If you step 1 unit positive in the x direction you reach the y-axis, (x=0). In order to remain on the line you need to go up 4 units, that is from -6 to -2. y=4x-2.

Step-by-step explanation:

Answer:

He should use 1/2 of a teaspoon of pepper.

Step-by-step explanation:

From the question, the soup recipe requires 1/4 of a teaspoon of pepper for every 1/2 of a teaspoon of dried basil.

Now, to determine how much pepper Terrell should use if he uses 1 teaspoon of dried basil for the huge pot of soup,

Let the quantity be x

If 1/4 of a teaspoon of pepper requires 1/2 of a teaspoon of dried basil,

then, x teaspoon of pepper will require 1 teaspoon of dried basil

x = (1/4 × 1) ÷ (1/2)

x = 1/4 ÷ 1/2

x = 1/4 × 2/1

x = 2/4

x = 1/2

∴ 1/2 of a teaspoon of pepper is required for 1 teaspoon of dried basil.

Hence, he should use 1/2 of a teaspoon of pepper.

SOLUTION

We were given the geometric sequence 16, 24, 36, 54 and we are told to find

This means to find the sum of the first 12 terms.

From the sequence

Sum of a geometric sequence is given as

So, we have

Hence to the nearest whole number, the answer is 4,120 second option

Answer:

its 150

Step-by-step explanation:

the "ten" is 5 to round it it will have to be the number to the right, which is 0 if its below 4 its changed to 0 and nothing happens to the ten

Answer:

Chantal and Trisha will have both traveled 105 miles in 20 minutes.

Step-by-step explanation:

\(y\) is distance in miles, \(x\) is time in hours.

The two equations are:

\(y = \frac{20}{x} + 45\)

\(y = \frac{35}{x}\)

Set them equal to each other and solve for x:

\(\frac{35}{x} = \frac{20}{x} + 45\)

\(\frac{35}{x} - \frac{20}{x} = 45\)

\(\frac{35-20}{x} = 45\)

\(\frac{15}{x} = 45\)

\(x = \frac{15}{45} = \frac{1}{3} hours = 20 minutes\)

Plug that back into the equations to confirm this \(x\) gives the same \(y\):

\(y = \frac{20}{1/3} + 45 = 105 miles\)

\(y = \frac{35}{1/3} = 105 miles\)

Replace x with 3. Then simplify

f(x) = 4x+1

f(3) = 4(3)+1

f(3) = 12+1

f(3) = 13

Answer:13

Step-by-step explanation:

You place 3 in place of x then multiply 4 and 3. You would get 12. Then you add 1. Which is 13.

The unit tangent vector T(t) and the principal unit normal vector N(t)=T(t)=N(t)=R'(t) = 2i + 2tj, ||R'(t)|| = 2*sqrt(1 + t^2), T(t) = i/sqrt(1 + t^2) + tj/sqrt(1 + t^2), N(t) = (2t/sqrt(1 + t^2))*i + (1/sqrt(1 + t^2))*j

We are given the vector function R(t) = 2ti + t^2j + 3k, and we need to find the derivative R'(t), its norm, the unit tangent vector T(t), and the principal unit normal vector N(t).

To find the derivative R'(t), we take the derivative of each component of R(t) with respect to t:

R'(t) = 2i + 2tj

To find the norm of R'(t), we calculate the magnitude of the vector:

||R'(t)|| = sqrt((2)^2 + (2t)^2) = 2*sqrt(1 + t^2)

To find the unit tangent vector T(t), we divide R'(t) by its norm:

T(t) = R'(t)/||R'(t)|| = (2i + 2tj)/(2*sqrt(1 + t^2)) = i/sqrt(1 + t^2) + tj/sqrt(1 + t^2)

To find the principal unit normal vector N(t), we take the derivative of T(t) and divide by its norm:

N(t) = T'(t)/||T'(t)|| = (2t/sqrt(1 + t^2))*i + (1/sqrt(1 + t^2))*j

Therefore, we have:

R'(t) = 2i + 2tj

||R'(t)|| = 2*sqrt(1 + t^2)

T(t) = i/sqrt(1 + t^2) + tj/sqrt(1 + t^2)

N(t) = (2t/sqrt(1 + t^2))*i + (1/sqrt(1 + t^2))*j

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Write an example from daily life that uses rational numbers .

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Answer:

2

Step-by-step explanation:

3(2y - 5)+15 =12

6y - 15 +15 =12

6y=12

y=12:6

y=2

Using the probability concept, it is found that there is a \(\mathbf{\frac{1}{6}}\) probability that she rolls a 1.

In a dice, there are 6 sides, one of which is a roll is 1, then:

\(p = \frac{1}{6}\)

There is a \(\mathbf{\frac{1}{6}}\) probability that she rolls a 1.

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The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Answer:

-3/(b-6) = 3/(-b+6) = 3/(6-b)

Step-by-step explanation:

7/(b-6) + 10/(6-b)

= 7/(b-6) + 10/(-b+6)

= 7-10/(b-6)

= -3/(b-6) = 3/(-b+6) = 3/(6-b)

\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: \cfrac{7}{b - 6} + \cfrac{10}{6 - b} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{7}{b - 6} + \cfrac{10}{ - (b - 6)} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{7}{b - 6} - \cfrac{10}{ b - 6} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{ - 3}{ b - 6}\:\:\: or \:\:\: \dfrac{3}{6-b} \)

Answer:

D

Step-by-step explanation:

If you imagine the dots continued in a connected line, (imagining where the data points will likely go), the line's slope informs you if it is a negative (going down/negative slope) linear association or if it's a positive (going up/positive slope) linear association.

For A, it has a positive slope [as it increases].

For B, it also has a positive slope

For C, there is no correlation, the dots are not showing any trends

For D, there is a negative slope.

This means that the scatter plot D shows a negative linear association.

Option (D) shows a negative linear association between the variables is the correct answer.

A scatter plot is a type of data visualization that shows the relationship between different variables. Scatter plots are used to plot data points on a horizontal and a vertical axis in an attempt to show how much one variable is affected by another.

For the given situation,

The graph shows the data points on a horizontal and a vertical axis.

A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.

Among graphs, in option (D) when one variable tends to increase in the x-axis, the other variable decreases in the y-axis.

Hence we can conclude that option (D) shows a negative linear association between the variables is the correct answer.

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Answer:

The competing company is better

7 for 25.90 vs. 7 for 25.83

Step-by-step explanation:

Since it's 3 for 11.07

we need to see how much higher the price will get at 7, so divde 11.07 by 3 then double the price.

3.69 per box for competing company

11.07*2 = 22.14

22.14 + 3.69= 25.83

0.833

The probability that the wife will have between $50,000 and $100,000 of insurance and the husband will have between $0 and $50,000 of insurance for a randomly selected policy is 0.833.

This answer is rounded to three decimal places if necessary.

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