A line that includes the point (4,1) has a slope of 1 7 . What is its equation in point-slope form?

Answer:

There are different axioms(theorems) to prove two tringles congruent.

Step-by-step explanation:

The axioms are:

SSS(side side side)

SAS(side angle side)

ASA(angle side angle)

AAS(angle angle side)

RHS(right angle hypotenuse side)

Answer:

45 words per minute

Step-by-step explanation:

60 / 1 \(\frac{1}{3}\)

45

The average typing speed of Joseph in words per minute is 45 words per minute​.

The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity.

Now it is given that,

Number of words = typed 60 words

Time taken = 1 and 1/3 minutes

⇒ Time taken = 4/3 minutes

Thus, Average typing speed = Number of words / Time taken

⇒ Average typing speed = 60 / (4/3) words per minute​

⇒ Average typing speed = 45 words per minute​

Thus, the average typing speed of Joseph in words per minute is 45 words per minute​.

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Answer:

I know how to do it but i can't do it in a couple minutes sorry :(

Step-by-step explanation:

Answer:

2 minutes 10 seconds!!!!!

Answer:

1/6

Step-by-step explanation:

1/3×2/4 = 2/12

2/12 = 1/6

Answer:

-1

Step-by-step explanation:

lim x tends to 4 (x^2-9x+20)/(x-4). (x^2-9x+20)(x-4)=x-5.

So the limit is 4-5=-1

Answer:

Step-by-step explanation:

Answer:

x = 15\(\sqrt{3}\) , y = 15

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° = \(\frac{\sqrt{3} }{2}\) , cos60° = \(\frac{1}{2}\) , then

sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{30}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2x = 30\(\sqrt{3}\) ( divide both sides by 2 )

x = 15\(\sqrt{3}\)

---------------------------------------------------------

cos60° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{y}{30}\) = \(\frac{1}{2}\) ( cross- multiply )

2y = 30 ( divide both sides by 2 )

y = 15

The solution of the inequality 2.6 + x < 8.3 represents a line with an open circle at 5.7 going towards negative infinity.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality 2.6 + x < 8.3.

⇒ x < 8.3 - 2.6.

x < 5.7

This will represent a number line with an open circle(not including) at 5.7

going towards negative infinity.

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Answer:

5.6023 × 10^-5

Step-by-step explanation:

Let me know if you need an explanation.

Answer:

0.00005602

Step-by-step explanation:

0.00005602

(hope this helps can i plz have brainlist :D hehe)

Answer: A

Step-by-step explanation:

365/10 is the best way to figure it out

Answer:

A. 365÷10 = 365/10 = 36 5/10=36 1/2 pages

Explanation:

Here:

Rate:

365 ÷ 10 = 365/10 = 36 1/2 pages per day

Answer:

1,120

Step-by-step explanation:

If you divide 280 and 5 you get 56. Then you multiply 56 and 20 and you get 1,120

Applying reciprocal property the equation 36 / 5 = 8 / a is solved to find the value of a as 10/9

The definition of reciprocal in mathematics is the inverse of a value or a number.

If n is a real number, then 1/n will be n's reciprocal.

Therefore, we must change the number to its upside-down form. For instance, 1 divided by 9 is the reciprocal of 9, or 1/9.

The result of multiplying a number by its reciprocal now equals one. multiplicative Inverse is another name for it.

Similarly,  36 / 5 = 8 / a

the reciprocal is 5 / 36 = a / 8

cross multiplying

5 * 8 = 36 * a

36a = 40

a = 40 / 36

a = 10/9

The value of a is 10/9

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Answer:

they're all 0

Step-by-step explanation:

N/A

The simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

The expression cos^2x sin^4x can be simplified by using the trigonometric identity that states sin^2x + cos^2x = 1.

We can rewrite cos^2x sin^4x as cos^2x (sin^2x)^2. Then, using the trigonometric identity sin^2x + cos^2x = 1, we can substitute (1 - cos^2x) for sin^2x.

This gives us cos^2x (1 - cos^2x)^2, which can be expanded using the binomial theorem to give cos^2x (1 - 2cos^2x + cos^4x).

Finally, we can simplify this expression further by distributing the cos^2x term and collecting like terms to get cos^2x - 2cos^4x + cos^6x.

Therefore, the simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

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Answer:

x2+x-4=0

Step-by-step explanation:

To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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This instruction exchanges the values of AX and BX registers. After this instruction, AX will have the value BA73, and BX will have the value 0007. The correct answer is c AX = BA73, BX = 0007

Let's go through the segment step by step to determine the final values of AX and BX.

MOV AX, 0001

This instruction moves the value 0001 into the AX register. Therefore, AX = 0001.

MOV BX, BA73

This instruction moves the value BA73 into the BX register. Therefore, BX = BA73.

ASHL AL

This instruction performs an arithmetic shift left (ASHL) on the AL register. However, before this instruction, AL is not initialized with any value, so it's not possible to determine the result accurately. We'll assume AL = 00 before this instruction.

ASHL AL

This instruction again performs an arithmetic shift left (ASHL) on the AL register. Since AL was previously assumed to be 00, shifting it left would still result in 00.

ADD AL, 07

This instruction adds 07 to the AL register. Since AL was previously assumed to be 00, adding 07 would result in AL = 07.

XCHG AX, BX

This instruction exchanges the values of AX and BX registers. After this instruction, AX will have the value BA73, and BX will have the value 0007.

Therefore, the correct answer is:

c. AX = BA73, BX = 0007

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The shaded area is 239.4 ft²

Step-by-step explanation:

KEY TAKEAWAYS

Correlation coefficients are used to measure the strength of the relationship between two variables.

Correlation coefficient greater than zero indicates a positive relationship while a value less than zero signifies a negative relationship and a value of zero indicates no relationship between the two variables being compared.

Negative correlation, or inverse correlation, is a key concept in the creation of diversified portfolios that can better withstand portfolio volatility.

Understanding Correlation

The correlation coefficient (ρ) is a measure that determines the degree to which the movement of two different variables is associated. The most common correlation coefficient, generated by the Pearson product-moment correlation, may be used to measure the linear relationship between two variables. However, in a non-linear relationship, this correlation coefficient may not always be a suitable measure of dependence.

The possible range of values for the correlation coefficient is -1.0 to 1.0. In other words, the values cannot exceed 1.0 or be less than -1.0, and a correlation of -1.0 indicates a perfect negative correlation, and a correlation of 1.0 indicates a perfect positive correlation. Anytime the correlation coefficient is greater than zero, it's a positive relationship. Conversely, anytime the value is less than zero, it's a negative relationship. A value of zero indicates that there is no relationship between the two variables.

Correlation among variables does not (necessarily) imply causation.

In the financial markets, the correlation coefficient is used to measure the correlation between two securities.

When two stocks, for example, move in the same direction, the correlation coefficient is positive. Conversely, when two stocks move in opposite directions, the correlation coefficient is negative.

If the correlation coefficient of two variables is zero, it signifies that there is no linear relationship between the variables. However, this is only for a linear relationship. It is possible that the variables have a strong curvilinear relationship. When the value of ρ is close to zero, generally between -0.1 and +0.1, the variables are said to have no linear relationship (or a very weak linear relationship).

For example, suppose that the prices of coffee and of computers are observed and found to have a correlation of +.0008. This means that there is no correlation, or relationship, between the two variables.

Graphs showing positive, negative, and no correlation

Investopedia / Hugo Lin

Calculating ρ

To calculate correlation, one must first determine the covariance of the two variables in question. Next, one must calculate each variable's standard deviation. The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations.

Standard deviation is a measure of the dispersion of data from its average. Covariance is a measure of how two variables change together. However, its magnitude is unbounded, so it is difficult to interpret. By dividing covariance by the product of the two standard deviations, one can calculate the normalized version of the statistic. This is the correlation coefficient.

\text{Correlation}=\rho=\frac{\text{cov}(X,Y)}{\sigma_X\sigma_Y}Correlation=ρ=

σ

X

σ

Y

cov(X,Y)



Positive Correlation

A positive correlation–when the correlation coefficient is greater than 0–signifies that both variables move in the same direction. When ρ is +1, it signifies that the two variables being compared have a perfect positive relationship; when one variable moves higher or lower, the other variable moves in the same direction with the same magnitude.

The closer the value of ρ is to +1, the stronger the linear relationship. For example, suppose the value of oil prices is directly related to the prices of airplane tickets, with a correlation coefficient of +0.95. The relationship between oil prices and airfares has a very strong positive correlation since the value is close to +1. So if the price of oil decreases, airfares also decrease. And if the price of oil increases, so do the prices of airplane tickets.

In the chart below, we compare one of the largest U.S. banks, JPMorgan Chase & Co. (JPM), with the Financial Select SPDR ETF (XLF).1 2 As you can imagine, JPMorgan Chase & Co. should have a positive correlation to the banking industry as a whole. We can see the correlation coefficient (bottom of the chart) is currently at 0.97 which is signaling a very strong positive correlation. A reading above 0.50 typically signals a positive correlation.

Correlation Coefficient - JPM, XLF

Source: TradingView.

Understanding the correlation between two stocks (or a single stock) and its industry can help investors gauge how the stock is trading relative to its peers. All types of securities, including bonds, sectors, and exchange-traded funds (ETFs) can be compared with the correlation coefficient.

Answer:

A) 6/7

Step-by-step explanation:

Remember that two negatives will cancel to make a positive. Also, 6 ÷ 7 is 6/7

Answer:

3 units

Step-by-step explanation:

Answer:

3.26

2.36

6.23

3.62

Step-by-step explanation:

The greater to all of these questions:3.26, 2.36, 6.23 and 3.62

Normally people use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.

A tree is measured suitably if we use feet. It is because the normal tree height is from few feet to few hundred feet.

If you measure tree height in centimetres, then as you can see in the question, the number before cm unit is quite big to handle by normal people.

When dealing with negative numbers, the number that would be smaller if it was positive would be bigger because it is closer to zero.

3.062 vs 3.26 -  3.26

2.36 vs 2.306  - 2.36

6.23 vs 6.203 -  6.23

3.62 vs 3.206 - 3.62

The greater to all of these questions:3.26, 2.36, 6.23 and 3.62

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The fourth-order Maclaurin polynomial, P4(x), for the function f(x) can be determined in three steps:

Determine the derivatives of f(x) up to the fourth order.

Evaluate the derivatives at x = 0.

Substitute the derivative values into the Maclaurin series formula.

To find the fourth-order Maclaurin polynomial, P4(x), for a function f(x), we need to follow a three-step process. First, we compute the derivatives of f(x) up to the fourth order.

This involves taking the first four derivatives of f(x) with respect to x. Second, we evaluate these derivatives at x = 0, which is the center of the Maclaurin series. Third, we substitute the derivative values into the Maclaurin series formula, which is a polynomial expression that approximates f(x) near x = 0.

The resulting polynomial is the fourth-order Maclaurin polynomial, P4(x), for f(x).

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We can expect 76 teenagers to say yes whether they  preferred watching shows over the internet, rather than through cable.

To calculate the expected number of teenagers who would prefer watching shows over the internet, rather than through cable:

73%, which is equivalent to 0.73 prefer watching shows over the internet. (Given)

Total number of teenagers surveyed is 104. (Given)

Expected number of teenagers who prefer watching shows over the internet =

= 0.73  × 104

= 75.92

Since it is a discrete variable we cannot have a fractional part of a teenager, we need to round the solution to the nearest whole number. Rounding 75.92 to the nearest whole number gives us 76.

Therefore, we can expect 76 out of the 104 teenagers surveyed to say yes, they prefer watching shows over the internet, rather than through cable.

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Using factorial ANOVA, both training strategies and self-efficacy levels are important factors in determining job performance, and their combined effects should be considered when evaluating the effectiveness of training programs.

Based on the results of the factorial ANOVA, the researcher can conclude that the four types of training strategies and three levels of self-efficacy have significant main effects on job performance. Additionally, the significant interaction indicates that the effect of the training strategies on job performance varies depending on the level of self-efficacy. Overall, the findings suggest that selecting appropriate training strategies based on an individual's level of self-efficacy can lead to improved job performance.

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Answer: (-4,-7)

Step-by-step explanation:

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Answer:

Reflection

Step-by-step explanation:

Here, we want to get the transformation that yielded figure B from figure A

Looking at the plot, we can see that we have the origin as the center of transformation

The kind of transformation however is reflection

The shape A was reflected about the origin or the point (0,0) to give shape B

Answer:

glide reflection

Step-by-step explanation:

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