3п 5. If cosx = -3, x € [T, ³7 and siny siny = 2 +ye,], find the value of sin (x − y). -

The factorisation of the given expressions is as follows;

The given identity is;

From the given identity, we can conclude that;

In the expression (a);

In the expression (b);

Hence, the factorised expressions are as represented above.

Read more on factorisation;

https://brainly.com/question/24371127

Answer:

Step-by-step explanation:

\(\pmb {sin(22)^o=\cfrac{x}{35} }\)

\(\pmb {35sin(22)=w}\)

\(\pmb {w=13.11}\)

_________________

Hope this helps!

Have a great day! :)

The complete statement is data analysis involves creating new ways of modeling and understanding the unknown by using raw data.

Data analysis can be defined as the process of cleaning, changing, and processing raw data, to relevant information that helps in the decision making of a business.

The procedure of data analysis helps in reducing the risks involved in decision-making by providing useful insights and statistics,.

Analyzed data are often presented in charts, images, tables, and graphs.

Some types of data analysis are;

Thus, the complete statement is data analysis involves creating new ways of modeling and understanding the unknown by using raw data.

Learn more about data analysis here:

https://brainly.com/question/15525560

#SPJ1

Answer:

the answer is 3 hope this helps

a. f'(x) = 40x³

To find the derivative of f(x) = 10x⁴, we apply the power rule.

The power rule states that if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹. Applying this rule, we get f'(x) = 4 * 10x³ = 40x³.

b. : f'(x) = 20 + 90x²

To find the derivative of f(x) = 20x + 30x³, we differentiate each term separately. The derivative of 20x is 20, and the derivative of 30x³ is 90x² (applying the power rule). Adding these derivatives, we get f'(x) = 20 + 90x².

r: f'(x) = (20x - 4x²)(5x - x²) + (10 + 2x²)(-2x + 5)

To find the derivative of f(x) = (10 + 2x²)(5x - x²), we apply the product rule. The product rule states that if f(x) = g(x) * h(x), then f'(x) = g'(x) * h(x) + g(x) * h'(x). Differentiating each term, we get f'(x) = (20x - 4x²)(5x - x²) + (10 + 2x²)(-2x + 5).

d.: f'(x) = 40x

To find the derivative of f(x) = 20x / (x²), we use the quotient rule. The quotient rule states that if f(x) = g(x) / h(x), then f'(x) = (g'(x) * h(x) - g(x) * h'(x)) / (h(x)²). In this case, g(x) = 20x and h(x) = x². After differentiating and simplifying, we obtain f'(x) = 40x.

Learn more about Derivative here:

https://brainly.com/question/29020856

#SPJ11

Answer:

$37.50

Step-by-step explanation:

{25(3)}0.50

-25 people times 3 cups for each person= 75

-0.50 times the amount of cups= 37.50

You would make 37 dollars and 50 cents.

Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

Answer:

Exact Form:

11 /3

Decimal Form:

3. 6

Mixed Number Form:

3  2 /3

Step-by-step explanation:

Main Answer:The correct answer is "equality of three or more population means."

Supporting Question and Answer:

What is the purpose of the one-way analysis of variance (ANOVA) test?

ANOVA helps to assess whether these differences are statistically significant by comparing the variation between the groups to the variation within the groups.

Body of the Solution:The one-way analysis of variance (ANOVA) is used to test for" the equality of three or more population means". ANOVA compares the variation between the groups (due to differences in means) to the variation within the groups (due to individual differences within each group) to assess whether the observed differences in means are statistically significant. Therefore, the correct answer is:

"equality of three or more population means."

To learn more about the purpose of the one-way analysis of variance (ANOVA) test from the given link

https://brainly.com/question/15084465

#SPJ4

Answer:

36x+4

Step-by-step explanation:

4*1+4*9x

-2x + 8 = 3x + 14

-2x - 3x = 14 - 8

-5x = 6 / : (-5)

x = -1,2

Answer: x = -6/5

Step-by-step explanation:

Given equation

-2x + 8 = 3x + 14

Subtract 3x on both sides

-2x + 8 - 3x = 3x + 14 - 3x

-5x + 8 = 14

Subtract 8 on both sides

-5x + 8 - 8 = 14 - 8

-5x = 6

Divide -5 on both sides

-5x / -5 = 6 / -5

\(\boxed{x = -\frac{6}{5} }\)

Hope this helps!! :)

Please let me know if you have any questions

Alonzo rode the scooter for 44 minutes.

Let the fee to start the scooter be F, and let the cost per minute of the ride be C. We are given that Alonzo's total bill for the ride is T. With this knowledge, we can construct the following equation:

T = F + Cm

where m is the number of minutes Alonzo rode the scooter. We want to solve for m.

To find m, we may rewrite the equation as follows:

m = (T - F)/C

Therefore, the number of minutes Alonzo rode the scooter is (T - F)/C.

For example, let's say the fee to start the scooter is $2.50, and the cost per minute of the ride is $0.15. If Alonzo's total bill for the ride was $9.20, then we can plug these values into the equation above to find the number of minutes Alonzo rode the scooter:

m = (T - F)/C = (9.20 - 2.50)/0.15 = 44

Therefore, Alonzo rode the scooter for 44 minutes.

To learn more about minutes visit:

https://brainly.com/question/15600126

#SPJ11

Answer:

32+n

Step-by-step explanation:

32 more than the number n would be 32+n.

Hope this helps!

Answer:

Quadrant IV

Step-by-step explanation:

If x is greater than 0, then it will remain on the right side, on quadrants I and IV. If y is less than 0, then it will be on the bottom, so we are left with quadrant IV:

x is greater than 0, so all possible values are positive

y is less than 0, so all possible values are negative

(x,-y)

Following are the description of the wrong choice:

That's why the "Quadrant IV" is the correct answer.

Learn more:

Step-by-step explanation:

Define variables: let the numbers be x and y

Write a system: 3x-y=-3

x+y=11

Solve: Add both numbers to eliminate y

4x=8

x=2

Plug x=2 into the second equation

2+y=11

y=11-2=9

Solution sentence: the values are 2 and 9

Answer:

\( \\ \)

Step-by-step explanation:

It is given that, three times a number minus a different number is equal to -3 and the sum of the numbers is 11 and we are to find the numbers.

\( \\ \)

Three times a minus a different number is equal to -3 :

\({\longrightarrow \pmb{\sf {\qquad 3a-b=-3 \:...... \: (i)}}} \\ \\\)

The sum of the numbers is 11.

\({\longrightarrow \pmb{\sf {\qquad a + b=-11 \:...... \: (ii)}}} \\ \\\)

Adding equation (i) and (ii) :

\( \\ {\longrightarrow \pmb{\sf {\qquad 3a-b + (a + b)=-3 + 11 }}} \\ \\\)

\( {\longrightarrow \pmb{\sf {\qquad 3a \: \: \cancel{-b }+ a + \cancel b=8 }}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad 4a =8 }}} \\ \\\)

Dividing both sides by 4 :

\( \\ {\longrightarrow \pmb{\sf {\qquad \frac{4a}{4} = \frac{8}{4} }}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad a =2 }}} \\ \\\)

Now, Substituting the value of a in equation (ii)

\({\longrightarrow \pmb{\sf {\qquad a + b=11 }}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad 2 + b=11 }}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad b=11 - 2 }}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad b=9 }}} \\ \\\)

Therefore,

If the test scores are normally distributed then the exam score corresponding to a standard score of -0.95 is 83.15  .

In the question ,

it is given that ,

the mean of the normally distributed score is (μ) = 86 ;

the standard deviation of the normally distributed is(σ)  = 3 ;

we have to find the exam score(z score) corresponding to the standard score of -0.95 .

we know that z-score for the population mean (μ) and standard deviation(σ) is

Z = (x - μ)/σ

rewriting ,

we get ,

x = μ + Zσ

given that standard score (z) is = -0.95 .

the exam score corresponding to z = -0.95 can be calculated using the formula ,

x = μ + Zσ

Substituting Z = -0.95 , μ = 86 and σ = 3 ;

we get ,

x = 86 + (-0.95)×3

x = 86 - 2.85

x = 83.15

Therefore , the exam score corresponding to the standard score of "-0.95" is 83.15  .

Learn more about Z - Score here

https://brainly.com/question/14201685

#SPJ4

Answer:

False

Step-by-step explanation:

82 - 21 + 10 = 61 is false 82 - 21 + 10 = 71

Values of absolute value inequality:

x < 10

-∞ to 9 < x

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >,<,≥,≤ or ≠ indicate that the two expressions in an inequality are not always equal.

Given,

Inequality

5[x -3 } < 35

5x -15 < 35

5x < 50

Values:

x < 10

-∞ to 9 < x

To learn more about inequality, visit:

https://brainly.com/question/15064057

#SPJ13

Answer:

y = 95

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

y+25 = 120

y = 120-25

y = 95

Notice the following:

Therefore:

Finally, substituting the values in the given expression we get:

Answer: 3072.

The width of the runway is approximately 28.3 feet. The length of the runway in feet is Length = 3.75 miles * 5,280 feet/mile

The new runway being constructed on the east side of the estate, which extends to the ranch house, is 3.75 miles long and covers a total area of 5.6 acres. To determine the width of the runway in feet, we can use the following information:

1 acre = 43,560 square feet

First, let's convert the length of the runway from miles to feet:

1 mile = 5,280 feet

Therefore, the length of the runway in feet is:

Length = 3.75 miles * 5,280 feet/mile

Next, let's calculate the width of the runway using the area and length:

Area = Length * Width

Since we are given the area in acres, we need to convert it to square feet:

Area = 5.6 acres * 43,560 square feet/acre

Now, we can solve for the width:

Width = Area / Length

Substituting the values we have:

Width = (5.6 acres * 43,560 square feet/acre) / (3.75 miles * 5,280 feet/mile)

Simplifying the expression:

Width = (5.6 * 43,560) / (3.75 * 5,280) feet

Calculating the value:

Width ≈ 560,784 / 19,800 feet

Width ≈ 28.3 feet

Therefore, the width of the runway is approximately **28.3 feet**.

Learn more about width here

https://brainly.com/question/28107004

#SPJ11

Answer:

When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.

Step-by-step explanation:

Answer:

i dont knowwwwwwwwwwww : D

Step-by-step explanation:

Given:

To find: The other number.

Answer:

Let's assume the unknown number to be 'x'.

(-4/15) × x = (-9/16)

× = (-9/16) ÷ (-4/15)

When we divide a fraction by another fraction, the divisor will be taken in its reciprocal form.

x = (-9/16) × (-15/4)

x = 135/64

Therefore, the other number is 135/64.

Hope it helps. :)

Precalculus is an example here, since x=−2 is a vertical type line, there is no  y-intercept as well as the slope is undefined.

The slope is undefined and all of the factors on the road have an x-coordinate of that (a few number). For example, if x = -2, then all factors alongside this line can have an x-coordinate of -2, making it a vertical line. y=−2 is a flat line crossing the factor at (0,−2) consequently the gradient is 0 and the the y intercept is -2.

A terrible slope approach that variables are negatively related; that is, whilst x increases, y decreases, and whilst x decreases, y increases. Graphically, a terrible slope approach that as the road on the road graph movements from left to right, the road falls. The x-coordinate -2 is represented throughout. This is NOT a function.

Learn more about line intercept: brainly.com/question/24990033

#SPJ4

The probability that a student's score is less than 81 points on the reading ability test is 0.9772. We would expect approximately 489 students to earn a score less than 81 points if 500 students took the reading ability test. The probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.

To find the probability that a student's score is less than 81 points, we need to standardize the score using the z-score formula:

z = (x - μ) / σ

where x is the student's score, μ is the mean score, and σ is the standard deviation. Plugging in the values, we get:

z = (81 - 65) / 8 = 2.00

Using a standard normal distribution table or calculator, we can find the probability of a z-score less than 2.00 to be approximately 0.9772. Therefore, the probability that a student's score is less than 81 points is 0.9772.

Since the distribution is normal, we can use the normal distribution to estimate the number of students who would earn a score less than 81. We can standardize the score of 81 using the z-score formula as above and use the standardized score to find the area under the normal distribution curve. Specifically, the area under the curve to the left of the standardized score represents the proportion of students who scored less than 81. We can then multiply this proportion by the total number of students (500) to estimate the number of students who would score less than 81.

z = (81 - 65) / 8 = 2.00

P(z < 2.00) = 0.9772

Number of students with score < 81 = 0.9772 x 500 = 489

Therefore, we would expect approximately 489 students to earn a score less than 81 points.

The distribution of the sample mean reading ability test scores is also normal with mean μ = 65 and standard deviation σ / sqrt(n) = 8 / sqrt(35) ≈ 1.35, where n is the sample size (number of students in the sample). To find the probability that the sample mean score is between 66 and 68, we can standardize using the z-score formula:

z1 = (66 - 65) / (8 / sqrt(35)) ≈ 0.70

z2 = (68 - 65) / (8 / sqrt(35)) ≈ 2.08

Using a standard normal distribution table or calculator, we can find the probability that a z-score is between 0.70 and 2.08 to be approximately 0.2190. Therefore, the probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.

To know more about probability:

https://brainly.com/question/30034780

#SPJ4

Answer:

y=-3/m+12h/m

Step-by-step explanation:

y=-3/m+12h/m i believe is the answer

The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.

The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.

The expected number of boxes to be produced is given as 3,000 boxes.

To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):

\(Takt time = Total available time / Expected number of boxes\)

\(Takt time = 960 / 3,000\)

By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.

Learn more about minutes here:

https://brainly.com/question/31148642

#SPJ11