Write a mathematical expression for the word expression. Seven times a number plus one

Answer:

77 is 35% of:  220

Step-by-step explanation:

The derivative of arctan√1−x1+x is -√(1-x)/[(1+x)(2-2x)].

We can use the chain rule and the formula for the derivative of arctan to find the derivative of the given expression. Let u = √(1-x)/(1+x). Then,

arctan(√(1-x)/(1+x)) = arctan(u)

By the chain rule,

(arctan(u))' = 1/(1+u²) * u'

To find u', we can use the quotient rule:

u' = [(1/2)(1-x)⁻¹/²) * (-1)/(1+x)] - [(1/2)(-1)*(1-x)⁻¹/²* (1)/(1+x)²]

Simplifying this expression gives:

u' = -1/[(1+x)√(1-x)]

Substituting this expression for u' into the previous expression for (arctan(u))', we get:

(arctan(√(1-x)/(1+x)))' = -√(1-x)/[(1+x)(1+(√(1-x)/(1+x))²)]

Simplifying the denominator and combining terms gives:

(arctan(√(1-x)/(1+x)))' = -√(1-x)/[(1+x)(2-2x)]

Therefore, the derivative of arctan(√(1-x)/(1+x)) with respect to x is -√(1-x)/[(1+x)(2-2x)].

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Answer:

yes

Step-by-step explanation: if it goes through the orgin it is

a) Both events occur: A ∩ B

b) At least one occurs: A ∪ B

c) Neither occurs: (A ∪ B)' or (A' ∩ B')

d) Exactly one occurs: (A ∩ B') ∪ (A' ∩ B)

The expressions involving unions, intersections, and complements provide a flexible way to describe various event occurrences in probability theory. In this context, an event is a subset of the sample space of possible outcomes, and the complement of an event is the set of all possible outcomes that are not in the event.

Expression a describes the intersection of events A and B, which represents the set of outcomes where both events occur simultaneously. Expression b represents the union of events A and B, which includes all outcomes where at least one event occurs, either A or B or both.

Expression c denotes the complement of the union of events A and B, which represents the set of outcomes where neither event occurs. Alternatively, it can be expressed as the intersection of the complements of events A and B.

Expression d refers to the exclusive occurrence of either A or B but not both. To describe this situation, we take the union of the intersection of A and the complement of B with the intersection of the complement of A and B. This expression excludes the possibility of both A and B occurring simultaneously.

In summary, the use of these expressions provides a concise and systematic way to describe different event occurrences in probability theory.

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The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

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Answer: imaginary axis

Step-by-step explanation:

Answer:

im sorry i really need some point for this exam

Step-by-step explanation:

Answer:

She had 8 appointments

Step-by-step explanation:

Let x = the number of appointments

65x + 100 - 12.5x = 520  Combine like terms

52.5x + 100 = 520  Subtract 100 from both sides

52.5x + 100 - 100 = 520 - 100

52.5x = 420  Divide both sides by 52.5

\(\frac{52.5x}{52.5}\) = \(\frac{420}{52.5}\)

x = 8

Helping in the name of Jesus.

The theorem that provides a method for revising probabilities to reflect new information is Bayes' theorem.

Bayes' theorem is a fundamental concept in probability theory and statistics that provides a way to update or revise probability estimates based on new or additional information.

It is named after the English statistician Thomas Bayes, who first formulated the theorem in the 18th century. Bayes' theorem is widely used in various fields such as science, engineering, medicine, finance, and artificial intelligence.

It is an essential tool for solving problems related to decision making, prediction, and classification.

Bayes' theorem is based on conditional probability, which describes the probability of an event given that another event has occurred. The theorem provides a formula for calculating conditional probabilities and allows for the incorporation of new information or evidence into the probability estimate.

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Answer:

-5

Step-by-step explanation:

5 inches below ground. assuming ground is 0, then it would be -5

The 5 inches below the line on the number line is represented by -5.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the height below the ground is represented by the number line. The below measurement is represented by the negative numbers. The height of 5 inches will be represented by -5 below the ground.

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The probability that it will have distinct even digits is 6/1000.

The first digit can take on 5 values (0,2,4,6,8).

The second digit could take on 4 values (one less than 5 to be unique).

The third digit could take on 3 values (two less than 5 to be unique).

So that makes,

N=5.4.3

N=60

P= 60/1000

P=3/50

So there are 60 unique three digit even numbers.

There are 1000 possible outcomes.

Probability and statistics are two fundamental concepts in mathematics. Probability is about the probability of an event, whereas statistics are about how different techniques are used to process different data.

Probability and statistics allow us to process complex data in a very understandable way.

Probability is one of the most popular topics in statistics. The reason is that this one theory is often used when trying to predict something. For example, figuring out what comes out of a random series of events. For simplicity, probability is also called chance or probability. 

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Answer:

It’s right!

Step-by-step explanation:

Answer:

we cannot answer your question because there is not enough information, please repost the question with more information, correctly this time.

Step-by-step explanation:

The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:

∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2

Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:

φ(x,y) = 11x^3y^2 + 11x^2y^2 + C

where C is the constant of integration.

Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

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Answer:

Step-by-step explanation:

The loop will run an infinite number of times

The required we can reject the null hypothesis and accept the alternative hypothesis.

Based on the given p-value of 0.045 and a significance level of 0.05 (or 5%), we can draw the following conclusion:

Since the p-value (0.045) is less than the significance level (0.05), we have evidence to reject the null hypothesis. In other words, there is sufficient statistical evidence to conclude that there are significant differences among the groups being compared in the ANOVA F test.

Therefore, we can reject the null hypothesis and accept the alternative hypothesis, indicating that there are statistically significant differences between at least two of the groups being compared.

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The 95% confidence interval for p is  (0.47, 0.83)

Total subjects = 40

People preferring fresh brewed = 26

Calculating the sample proportion -

Sample proportion = Number of subjects preferring fresh brewed coffee / Total number of subjects

= 26 / 40

= 0.65

It is required to establish crucial values depending on chosen confidence level in order to generate the confidence interval. The z-value associated with a 97.5% cumulative probability to obtain a 95% confidence range is to be found. This is because the remaining 5% by 2 is divided to determine middle 95% of the standard normal distribution. The z-value for a 97.5% cumulative probability is around 1.96 using Table D or any other approach.

Using the formula for confidence interval -

\(CI = p + z x \sqrt ((px (1 - p) / n)\)

Substituting the values -

\(CI = 0.65 ± 1.96 \sqrt{x} ((0.65 * (1 - 0.65)) / 40)\)

\(= 0.65 ± 1.96 x \sqrt(0.2275 / 40)\)

= 0.65 ± 1.96 x 0.0921

= 0.65 ± 0.1802

Rounding to two decimal places, the 95% confidence interval will be 0.47, 0.83)

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Answer:

16 5c coins

34 10c coins

Step-by-step explanation:

(I prefer to use whole numbers)

5x + 10y = 420

x+y=50

multiply the bottom problem by -5

5x +10y =420

-5x -5y = -250

combine the problems

5y = 170

divide by 5

y = 34

that means x = 16

34 10c coins

16 5c coins

-- Gage Millar, Algebra 1/2 tutor

The number of 5 cent coins are 16 and the number of 10 cent coins are 34.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, a trader has a mixture of 5 c and 10 c coins.

Let the the number of 5 c coins be x and the number of 10 c coins be y.

He has 50 coins in all, with a total value of $4.20.

So, x+y=50 ---------(I)

5x+10y=420 ---------(II)

Multiply equation (I) by 5, we get

5x+5y=250 ---------(III)

Subtract equation (III) from (II), that is

5x+10y-(5x+5y)=420-250

⇒ 5y=170

⇒ y=34

Substitute y=34 in equation (I), we get

x=16

Therefore, the number of 5 cent coins are 16 and the number of 10 cent coins are 34.

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Answer:

It’s 2.5 minutes per mile

Step-by-step explanation:

Because 10/4 is 2.5 which means he’s riding his bike one mile per every 2.5 minutes.

Function f(x) that satisfies f''(x) = −2 + 24x − 12x^2, f(0) = 7, and f'(0) = 14 is given by -x^2 + 4x^3 - x^4 + 14x + 7.

To find the function f(x), you need to integrate f''(x) twice and use the given initial conditions.

1. Integrate f''(x) to find f'(x):
f'(x) = ∫(-2 + 24x - 12x^2) dx = -2x + 12x^2 - 4x^3 + C1

2. Use the initial condition f'(0) = 14:
14 = -2(0) + 12(0)^2 - 4(0)^3 + C1
C1 = 14
So, f'(x) = -2x + 12x^2 - 4x^3 + 14

3. Integrate f'(x) to find f(x):
f(x) = ∫(-2x + 12x^2 - 4x^3 + 14) dx = -x^2 + 4x^3 - x^4 + 14x + C2

4. Use the initial condition f(0) = 7:
7 = -0^2 + 4(0)^3 - (0)^4 + 14(0) + C2
C2 = 7
Finally, f(x) = -x^2 + 4x^3 - x^4 + 14x + 7

In order to find the function f given f''(x) = −2 + 24x − 12x^2, f(0) = 7, and f'(0) = 14, we will need to integrate f''(x) twice to obtain the function f(x). The first integration gives us f'(x):

f''(x) = -2 + 24x - 12x^2∫f''(x) dx = ∫(-2 + 24x - 12x^2) dxf'(x) = -2x + 12x^2 - 4x^3 + C1The second integration gives us f(x):f'(x) = -2x + 12x^2 - 4x^3 + C1∫f'(x) dx = ∫(-2x + 12x^2 - 4x^3 + C1) dxf(x) = -x^2 + 4x^3 - x^4 + C1x + C2

We can use the given initial conditions to solve for the values of C1 and C2:f(0) = 7 ⇒ C2 = 7f'(0) = 14 ⇒ C1 = 14 Plugging in the values of C1 and C2, we obtain the final function: f(x) = -x^2 + 4x^3 - x^4 + 14x + 7 .

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Answer:

<Q, <R, <P

Step-by-step explanation:

The measures of the angles are in the same order of size as the length of the opposite side.

shortest side: RP = 2; opposite angle: Q

middle side: PQ = 5; opposite angle: R

longest side: QR = 6; opposite angle: P

Answer: <Q, <R, <P

Biggest angle has biggest side and vice versa.

Orde of sides

Order of angles

The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

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Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

So whenever you're finding the difference between two numbers you generally use the equation: |a-b| since a-b may or may not be negative, but |a-b| will always equal |b-a|. Since the only thing that differs is the sign. So when you have: \(|-\frac{2}{3}-\frac{5}{3}|\), in this case a=-2/3 and b=5/3 (b is positive since you're subtracting b, so if b appeared positive in the equation, it's actually negative, since the negative sign in |a-b|, which would make the two negatives cancel out). This means A is the correct answer. You could also calculate what the value is. Calculating gives you: \(|-\frac{7}{3}| = \frac{7}{3}\). And as you can see the top one, has two numbers separated by 7 one thirds.

Answer:

A

Step-by-step explanation:

It is absolute value and when it is absolute value, it is positive.

Answer:

scientific notation

= 2.34e8

scientific e notation

= 234 × 106

engineering notation

million; prefix mega- (M)

= 2.34 × 108

standard form

8

Order of Magnitude

for scientific and standard forms

= 234000000

(real number)

= two hundred thirty-four million

word form

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

First find the number of children attending elementary school

= 1349*2

= 2698 children

Now each school can accommodate 220 children so divide the number of children by 220

= \(\frac{2698}{220}\)

= 12.26 which is the closest to 13 in the options so the answer is 13

Answer:

48 cm²

Step-by-step explanation:

A(Triangle) = 1/2bh

A(Triangle) = 1/2(12)(8) = 48 cm²

Answer:

area of triangle = 1/2 * b* h

=1/2 ×12 ×8

=48 cm^2

Answer:

Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months

Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...

Answer:

7.5

Step-by-step explanation:

If we draw a card from a standard deck of 52 cards, the probability that the card is a diamond and not a seven is 3/13 or 0.2308

The probability that the card is a diamond and not a seven can be calculated using the probability formula, which is:

Probability of an event preceding = Number of ways an event can occur / Total number of possible outcomes

Among these 13 diamond cards, seven are not included. Therefore, there are 13 - 1 = 12 diamond cards that are not sevens. The probability that the card is a diamond and not a seven is calculated as follows:

Probability = Number of ways an event can happen / Total number of possible outcomes = 12/52 = 3/13 (fraction) = 0.2308

Therefore, the probability that the card is a diamond and not a seven is 3/13 or 0.2308

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