What is the value of x in the equation –2. 4x = 8. 4? –20. 16 –3. 5 3. 5 20. 16.

The exact value of the expression 4cos²(60)24csc²(45) is 12.

To find the exact value of the expression 4cos²(60)24csc²(45), we need to evaluate each trigonometric function separately and then substitute the values into the expression.

Let's start with cos²(60). The cosine of 60 degrees is equal to 1/2, so we have:

cos²(60) = (1/2)² = 1/4

Next, let's consider csc²(45). The cosecant of 45 degrees is equal to the square root of 2 divided by 2, so we have:

csc²(45) = (√2/2)² = 2/4 = 1/2

Now, we can substitute these values into the original expression:

4cos²(60)24csc²(45) = 4(1/4)24(1/2) = 1(24)(1/2) = 12

Therefore, the exact value of the expression 4cos²(60)24csc²(45) is 12.

It's important to note that we used the specific values of the trigonometric functions at the given angles (60 degrees and 45 degrees) to evaluate the expression. The final result is a numerical value without any variables.

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The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.

Given that,

For each test score in the data set, the percentile rank is determined. 12, 28, 35, 42, 47, 49,  

We have to find what number represents the 60% of the population.

We know that,

So,

Percentile rank =[(Number of values below x)+0.5]/ total number of values × 100

For 12,

Percentile rank = [0 +0.5]/7×100

= 7th

For 28,

Percentile rank = [1 +0.5]/7×100

= 21st

For 35,

Percentile rank = [2 +0.5]/7×100

= 36th

For 42,

Percentile rank = [3 +0.5]/7×100

= 50th

For 47,

Percentile rank = [4 +0.5]/7×100

= 64th

For 49,

Percentile rank = [5 +0.5]/7×100

= 79th

For 50,

Percentile rank = [6 +0.5]/7×100

= 93rd

Now,

n = 7

60th percentile = 60% of n

So,

60% of n = 60/100×7

= 0.6×7

= 4.2

Therefore, The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.

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Answer:

You cannot tell which number is greater, we need more information.

"multi-digit" does not imply how many digits each number has, therefore both numbers could be greater, for example:

3005 vs 60

OR

30 vs 645

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Probability of Number of outcome is an even in likely situation is given as 512

Given that;

Number of time die roll = 1,000

Find:

Probability of Number of outcome is an even

Computation:

Probability of an even = 3 / 6

Probability of an even = 1 / 2

Probability of Number of outcome is an even = [Probability of an even]1000

Probability of Number of outcome is an even = [1/2]1000

Probability of Number of outcome is an even = 500

So most likely outcome is 512

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The equation in general form is:

x² + y² + 8x - 6y - 9 = 0.

a. To write the equation (x+4)² + (y-3)² = 25 in center-radius form, we need to complete the square for both x and y.

Starting with x, we have:

(x+4)² = x² + 8x + 16

To complete the square, we add and subtract 4² = 16 inside the parentheses:

(x+4)² = x² + 8x + 16 - 16 + 25

= (x+4)² - 9

Similarly, for y, we have:

(y-3)² = y² - 6y + 9

= (y-3)² - 0

Substituting these expressions into the original equation, we get:

(x+4)² + (y-3)² = 25

(x+4)² - 9 + (y-3)² - 0 = 25

(x+4)² - 9 + (y-3)² = 25

So the equation in center-radius form is:

(x+4)² + (y-3)² = 25 with center (-4, 3) and radius 5.

b. To write the equation in general form, we need to expand the squares and simplify:

(x+4)² + (y-3)² = 25

x² + 8x + 16 + y² - 6y + 9 = 25

x² + 8x + y² - 6y + 16 - 25 = 0

x² + y² + 8x - 6y - 9 = 0

Therefore, the equation in general form is:

x² + y² + 8x - 6y - 9 = 0.

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Answer:

Vertex

Vertex are the end points of parabola where it opens up

locus are the group of points

latus rectum is the line parallel to it .

The area of the rectangle with a length of 3.6cm and a width of 4.7cm is 16.92 cm².

A rectangle is simply a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

The area of a rectangle is expressed as;

Area = length × width

Given that;

Plug in the values into the above equation and solve for area.

Area = length × width

Area = 3.6 cm × 4.7 cm

Area = 16.92 cm²

Therefore, the area is 16.92 squared centimeters.

Option C) 16.92 cm² is the correct answer.

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The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

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Answer:

I dont know what is the answer of this question

Answer:

Step-by-step explanation:

\(\frac{t-s}{2}\)

Answer:

3:1      &     54:18

Step-by-step explanation:

Answer: 9:3 and 3:1

Step-by-step explanation:

Glad I could help!

Answer:

N^2-3

Step-by-step explanation:

N (squared) minus three

Answer:

n*2-3

good luck :\

Answer:

I think the first one is x2 - x + 2) and (x4 + x3 - x2 + 2x + 4).

Answer:

You just do

Step-by-step explanation:

Answer:

just click the thing that says "Ask blah blah about this question..."

Step-by-step explanation:

according to question the simplified expression is (w + 4) / (w - 5).

To simplify the expression (w^2 + 2w - 24) / (w^2 + w - 30) + 8 / (w - 5), we need to first factor the two quadratic expressions in the numerator and denominator of the first term:

w^2 + w - 30 = (w - 5)(w + 6)

w^2 + 2w - 24 = (w + 6)(w - 4)

So, the first term simplifies to:

(w + 6)(w - 4) / (w - 5)(w + 6) = (w - 4) / (w - 5)

Now, we can rewrite the entire expression as:

(w - 4) / (w - 5) + 8 / (w - 5)

To combine the two fractions, we need to find a common denominator, which is (w - 5). Then, we can add the numerators:

[(w - 4) + 8] / (w - 5) = (w + 4) / (w - 5)

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Answer:

y = − 20

x = none

Step-by-step explanation:

There is no X intercepts

-32 + 12 = 20

Answer:

24

Step-by-step explanation:

You take the end points for the graphs and ignore the bumpy areas since it is taking the average and that is irrelevant to the question. naomi is 6 m/10 min which is 36 mph and maya is 12 mph. 36-12=24.

Answer:

Step-by-step explanation:

Explanation:

Use the formula C = pi*d

We're multiplying 3.14 by the diameter 100 to get 314, which is the approximate distance around the circle (aka perimeter). The value is approximate because pi = 3.14 is approximate.

(a) To find the partial derivatives, we differentiate the function f(x, y) with respect to x and y while treating the other variable as a constant.

fx(x, y) = d/dx [ (4x^2 + 2xy + 4y^2) / (x^2 + y^2) ]

          = [(8x(x^2 + y^2) - (4x^2 + 2xy + 4y^2)(2x)) / (x^2 + y^2)^2]

          = [(8x^3 + 8xy^2 - 8x^3 - 4x^2y - 8xy^2) / (x^2 + y^2)^2]

          = [-4x^2y / (x^2 + y^2)^2]

fy(x, y) = d/dy [ (4x^2 + 2xy + 4y^2) / (x^2 + y^2) ]

          = [(8y(x^2 + y^2) - (4x^2 + 2xy + 4y^2)(2y)) / (x^2 + y^2)^2]

          = [(8xy^2 + 8y^3 - 8xy^2 - 4x^2y - 8y^3) / (x^2 + y^2)^2]

          = [-4x^2y / (x^2 + y^2)^2]

(b) To find fx(0, 0) and fy(0, 0), we substitute x = 0 and y = 0 into the partial derivative expressions:

fx(0, 0) = -4(0)^2(0) / ((0)^2 + (0)^2)^2 = 0

fy(0, 0) = -4(0)^2(0) / ((0)^2 + (0)^2)^2 = 0

(c) Both partial derivatives, fx(x, y) and fy(x, y), are continuous at every point in the set {(x, y): (x, y) ≠ (0, 0)}.

However, at the point (0, 0), the partial derivatives fx(0, 0) and fy(0, 0) are both 0, indicating that the partial derivatives are continuous at that point as well.

Therefore, the correct answer is (a) Yes, both the partial derivatives are continuous at every point in that set.

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Answer:

Step-by-step explanation:

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

We're starting with the line

5x + 7y = 8

All the lines parallel to it will be of the form

5x + 7y = constant

and when our intersection point is (5,-3) the constant must be

5x+7y=5(5)+7(-3)=25-21=4

That's the answer but we have to turn this into the slope-intercept form so we solve for y:

7y = -5x +4

y= (-5/7)x +(4/7)

Answer: y = (-5/7)x + 4/7

For perpendicular lines, we swap the coefficients on x and y, negating one:

7x - 5y = constant

Again the point gives the constant:

7x-5y=7(5)-5(-3)=35+15=50

Solve for y for slope/intercept:

5y=7x-50

Answer: y = (7/5) x - 10

Therefore the equation will be equal to y = (7/5) x - 10

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Answer:

A, B, E, and F

Step-by-step explanation:

Answer:

x=8

y=10

z=9

Step-by-step explanation:

The condition for two line segments to be congruent is that they must have equal length.

What is a line segment?

A geometrical figure which is a part of a straight line having two unique endpoints is called a line segment. Each point on the line segment lies within the two given endpoints

Explanation of the fact that for the two given line segments to be congruent, they must have the same length

The given statement is False. Because two line segments are said to be congruent if and only if they have exactly the same length. If we construct a ray shorter than the line segment, then both will never be congruent according to the properties of congruence. So, for these two to become congruent, they must have the same length.

Hence, we obtain that the two line segments are congruent if they have exactly the same length.

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The x-intercept of the linear equation is (7, 0).

Here we have the following linear equation:

y = x - 7

We want to find the x-intercept, this is the point where the line intercepts the x-axis, it will happen when we take the value of y = 0, then we need to solve.

0 = x - 7

Solving that, we get:

7 = x

Then we conclude that the x-intercept of the linear equation is (7, 0).

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Answer:2n + 3

Step-by-step explanation:

The provided expression is equivalent to the first expression in the option, choice (A) is correct.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have expressions:

\(\rm = \dfrac{2n}{n+4}+\dfrac{7}{n-1}\)

\(\rm =\dfrac{2n\left(n-1\right)}{\left(n+4\right)\left(n-1\right)}+\dfrac{7\left(n+4\right)}{\left(n+4\right)\left(n-1\right)}\)

\(\rm =\dfrac{2n^2+5n+28}{\left(n+4\right)\left(n-1\right)}\)

Thus, the provided expression is equivalent to the first expression in the option, choice (A) is correct.

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The maximum combined length and girth of a rectangle package sent by the US Postal Service is determined by their regulations and varies depending on the shipping method chosen.

When sending a rectangle package through the US Postal Service, it is important to adhere to their guidelines to ensure successful delivery. The maximum combined length and girth of a package is a crucial factor in determining whether it meets the postal service's requirements. The term "girth" refers to the measurement around the thickest part of the package perpendicular to its length. The specific regulations for the maximum combined length and girth vary based on the shipping method selected. For Priority Mail and Priority Mail Express, the maximum combined length and girth allowed is 108 inches. However, for other services like First-Class Package Service, the maximum combined length and girth is limited to 84 inches. It's important to note that these measurements are subject to change, so it's recommended to consult the official USPS website or contact their customer service for the most up-to-date information. By adhering to these guidelines, senders can ensure their rectangle package meets the required specifications and can be successfully sent using the US Postal Service.

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Answer:

F= ma is the formula of Newton’s Second Law of Motion.

Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.

The distance from the wall, that the ladder slipped during the day, would be 21 cm.

First, use the Pythagorean theorem to find the original height of the ladder from the wall:

50² + b² = 300²

2, 500 + b ² = 90, 000

b ² = 90, 000 - 2, 500

b = √ 87, 500

b = 295. 8 cm

We can then find the new distance from the wall to be :
= 50 + 70

= 120 cm

The new height of the ladder to show the slip would be:

120² + b² = 300²

14,400 + b ² = 90, 000

b ² = 90, 000 - 14, 400

b = √ 75, 600

b = 275 cm

The distance slipped is:

= 295. 8 - 275

= 21 cm

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Answe

4h/5

Step-by-step explanation: