Find the exact value of the given functions, Given sin a = 3/5 , a in Quadrant I, and cos B = 5/13 , B in Quadrant II, find the following. (a) sin(a - (b) , cos(a + b) , (c) tan(a - b)

Answer:

3/5

Step-by-step explanation:

because in one jar there are total 5 marbles. 2 orange and 3 red. so if he pick randomly then he will 3/5.

Answer:

Given the sides of a triangle, the Pythagorean Theorem (its converse, really) lets us distinguish the right triangles from the other triangles. The right triangles are the ones where , where is the length of the longest sides and and are the other two. So the Pythagorean Theorem works for any triangle.

Step-by-step explanation:

Answer:

Pythagorean Theorem is used when you have to find a side length of right triangle. Leg 1 and Leg 2 could be labeled as A and B, doesn't matter which one is which. But C is always the hypotenuse which is the biggest side in the whole triangle. And to find the hypotenuse of the it is always the side length opposite to the right angle in the triangle. So the formula goes like;

A² + B² = C²

Hope this helps!

Answer:

Step-by-step explanation:

-6 is rational because it can be written as a ratio -6/1 for example

Answer:

c

Step-by-step explanation:

Answer:

-0.71

Step-by-step explanation:

Write in exponent form.

   \(\sqrt[a]{7^b}=7^{\frac{b}{a}}\\\\\\ \sqrt[4]{7^9}=7^{\frac{9}{4}}\)

Use law of exponents to simplify the equation.

         \(\boxed{a^m * a^n = a^{m+n} \ and \ \dfrac{a^m}{a^n}=a^{m-n}}\)

\(\sf 7^{\frac{13}{4}}*\sqrt[a]{7^b} =7^{\frac{2}{7}}*\sqrt[4]{7^9}\\\\ 7^{\frac{13}{4}}*7^{\frac{b}{a}}=7^{\frac{2}{7}}*7^{\frac{9}{4}}}\\\\7^{\frac{b}{a}}}= \dfrac{ 7^{\frac{2}{7}}*7^{\frac{9}{4}} }{7^{\frac{13}{4}}}\)

     \(=7^{\frac{2}{7}+\frac{9}{4}-\frac{13}{4}}\\\\=7^{\frac{-5}{7}}\\\\=7^{-0.71}\)

Answer:

number 3

Step-by-step explanation:

as if you subract the two values that should be the answer.

Answer:82feet tall

Step-by-step explanation:

The expected on-order inventory is approximately 80 units (rounded to the nearest integer).

1. Determine the average demand during the lead time:

Since the mean demand per period is 60 and the lead time is 2 periods, the average demand during the lead time is

60 × 2 = 120 units.

2. Determine the standard deviation of the demand during the lead time:

As the demand follows a normal distribution with a standard deviation of 10 per period, the standard deviation during

the lead time (2 periods) is calculated as sqrt(2) × 10 ≈ 14.14 units.

3. Calculate the expected on-order inventory:

Subtract the average demand during the lead time from the order-up-to level. In this case, it's 200 (order-up-to level) -

120 (average demand during lead time) = 80 units.

So, the expected on-order inventory is approximately 80 units (rounded to the nearest integer).

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Answer:

C) 3x

Step-by-step explanation:

Perimeter can be defined as side a + side b + side c,

since all sides are x we have

x + x + x = 3x

Answer:

x = y / (4x+11)

Step-by-step explanation:

y = 4x^2 + 11x

4x^2 + 11x - y = 0

4x^2 + 11x = y

x(4x + 11) = y

x = y / (4x+11)

The equation of a parabola with a given focus and directrix is:

x^2 - 2ax + 2by + (a^2 + b^2 - c^2) = 0

In this equation, (a, b) represents the coordinates of the focus, and c represents the y-coordinate of the directrix. This equation describes a parabola where all points on the parabola are equidistant from the focus and the directrix.

To write the equation of a parabola with a given focus and directrix, we can use the geometric definition of a parabola. A parabola is the set of all points that are equidistant from the focus and the directrix.

Let's assume the focus is denoted as F(a, b) and the directrix is a horizontal line given by y = c. The vertex of the parabola is at the midpoint between the focus and the directrix, which is V(a, (b + c) / 2).

The distance from any point (x, y) on the parabola to the focus F(a, b) is given by the distance formula:

sqrt((x - a)^2 + (y - b)^2)

The distance from the point (x, y) on the parabola to the directrix y = c is given by |y - c|.

According to the definition of a parabola, these two distances are equal. Thus, we can set up the equation:

sqrt((x - a)^2 + (y - b)^2) = |y - c|

Squaring both sides of the equation eliminates the square root:

(x - a)^2 + (y - b)^2 = (y - c)^2

Expanding and rearranging the terms:

x^2 - 2ax + a^2 + y^2 - 2by + b^2 = y^2 - 2cy + c^2

Simplifying and canceling out the y^2 terms:

x^2 - 2ax + a^2 + b^2 - 2by = c^2 - 2cy

Rearranging the terms to obtain the standard form of the equation:

x^2 - 2ax + 2by + (a^2 + b^2 - c^2) = 0

Thus, the equation of the parabola with focus F(a, b) and directrix y = c is given by:

x^2 - 2ax + 2by + (a^2 + b^2 - c^2) = 0

Complete Question - Write the equation of a parabola with focus F(a, b) and directrix given by y = c.

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Step-by-step explanation:

Given 1 yard = 0.9144m

0.9144 m = 1 yard

1 m = 1/0.9144 yards = 1.094yards

9m = 9 x 1.094 yards = 9.846yards

given 1 yard = P5.00

9.846 yards = P5.00 x 9.846 = P49.23

The longest poster that can fit in the box must have dimensions of 10 inches (height) by 20 inches (length) by 12 inches (width).

To find the longest poster that can fit in the box, we need to determine the longest dimension of the box itself. Since the box is 10 inches high, the longest poster that can fit in the box must have a height of no more than 10 inches.

Now, we need to consider the other two dimensions of the box. The box is 20 inches long and 12 inches wide, so the longest poster that can fit in the box must have a length of no more than 20 inches and a width of no more than 12 inches.

As for why we can only fit one maximum-length poster in the box but we can fit multiple 22-inch posters in the same box, it's because the length and width of the box are larger than the length and width of the 22-inch poster.

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Answer:

1. 3a + b - 4c -2d (this is as much as you can do)

2. -a + 2b - 3c - 3d

3. 3a - 6b +2c -2d

4. -4 + 2b + c - 2d

Step-by-step explanation:

1. Move the 4c

2. You can’t evaluate anymore

3. You can’t evaluate anymore

4. You can’t evaluate anymore

Answer:

> or greater than Im pretty sure

Step-by-step explanation:

Answer:

y=1

x=1

2x-3y=-1

2(1)-3(1)=-1

2-3=-1

-1=-1

so,that is the equation I have used to solve this

The inequality expressions for the number of male and female sea turtles are given as 0 < x ≤ 8 and 0 < 2x ≤ 16 respectively.The correct option is (b).

A linear inequality is the equivalent expression for the range of the values of a variable. On the graph it represents the area either above or below a straight line.  

Suppose the number of male turtles be x and females be y.

Then, as per the question the inequality expression for the male population can be written as follows,

0 < x ≤ 8

But the equation for the female population is given as y = 2x.

Now, the inequality expression can be written as,

0 < x ≤ 8

Multiply 2 on all sides to get,

2 × 0 < 2x ≤ 8 × 2

⇒ 0 < 2x ≤ 16

The required expressions of inequality are 0 < x ≤ 8 and 0 < 2x ≤ 16 respectively.

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The answer is True. In the Venn Diagram for an EIO - 2 Categorical Syllogism, X represents the area of the diagram where the subject of the conclusion statement (the term in the predicate of the minor premise) overlaps with the complement of the predicate of the major premise.

In a EIO syllogism, the conclusion statement is negative and particular, meaning that it denies the existence of some members of the subject class. This area of the diagram is represented by number 6. Therefore, there should be an X in number 6 of the Venn Diagram for an EIO - 2 Categorical Syllogism.

In the Venn Diagram for an EIO-2 Categorical Syllogism, there is an X in number 6. The statement is true. An EIO-2 Categorical Syllogism consists of a negative major premise, a negative minor premise, and a negative conclusion. In a Venn Diagram, an "X" represents an instance where the two categories overlap, and number 6 is the area where the two categories overlap negatively. So, in this case, the presence of an X in number 6 indicates the truth of the EIO-2 Categorical Syllogism.

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Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Any three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.

Here,

Because angles 1 and 2 are close to one another, they are neighboring angles.

A They share a side and are near to each other, making them neighboring angles.

B. The angles are complimentary (add to 90 degrees) False—Angle 2 has a 90 degree angle.

C. They are additional angles. (add to 180) They do not create a straight line, which is untrue.

D. Vertical angles describe them. (Contrary angles) False, they are not created through the intersection of lines.

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

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Answer:

m<1=88

Step-by-step explanation:

The two inside angles add up to the outside angle, so 44+44=88

Based on the given parameters, class 2 scored better on average

The averages and the standard deviations are given as:

Class 1

Mean score = 7.8

Standard deviation = 1

Class 2

Mean score = 8.1

Standard deviation = 0.2

As a general rule, the smaller the standard deviation; the better the average

Class 2 has a smaller deviation

Hence, class 2 scored better on average

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Using tha basic multiplication and division, Stan will need 960 sprinkles to make 60 cookies.

In the branch of mathematics known as algebra, a situation is described using mathematical symbols, variables, and arithmetic operations like addition, subtraction, multiplication, and division that produce meaningful mathematical expressions.

The sprinkles needed for 1 cookie are given by

24 cookies need sprinkles = 384

1 cookie will need sprinkles = 384 ÷ 24

= 16 sprinkles

Now, sprinkles needed for 60 cookies are given by

1 cookie needs sprinkles = 16

60 cookies will need sprinkles = 16 × 60

= 960 sprinkles

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The correct question is:

"Stan's cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. He is wondering how many sprinkles (p) he will need to make 60 cookies. He assumes each cookie will have the same number of sprinkles. How many sprinkles does Stan need to make 60 cookies?"

Answer:

the answer is 11.

Step-by-step explanation:

To find the number of integers divisible by 6 between -30 and 39, we need to find how many multiples of 6 are in this range.

The first multiple of 6 greater than -30 is -24 (which is 6 times -4), and the last multiple of 6 less than 39 is 36 (which is 6 times 6).

So, we need to count the number of integers between -4 and 6 (inclusive), because each of these integers multiplied by 6 will give us an integer in the range -30 to 39 that is divisible by 6.

There are a total of (6 - (-4) + 1) = 11 integers between -4 and 6 inclusive, so there are also 11 integers between -30 and 39 that are divisible by 6.

Using arithmetic operations, If the value of c = 4 then the value of (c/2) + 6 is 7

The given expression is (c/2) + 6

The value of c = 2

To find the value of (c/2) + 6 we have to do the suitable arithmetic operation after substituting the value  c in the expression

Substitute the value of c in the given expression (c/2) + 6

(c/2) + 6 = (2/2) + 6

Divide 2 by 2 first

(2/2) + 6 = 1+6

Add one and six

1+6 = 7

Hence, by using the arithmetic operation, if the value of c = 4 then the value of (c/2) + 6 is 7

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Answer:

a and b*

Step-by-step explanation:

it's kinda self explanatory. she isn't very good at communicating with others. she is rude and disrespectful.

Hi there! And yay--a question my brain can finally comprehend.  ;D

So you notice that the shape is divided into two shapes, a right triangle and a rectangle.   Let's find the area of the rectangle first.

To do this, you would multiply the length of the rectangle (12 feet) by the width of the triangle (6 feet).  Instead of using those unit squares you may have used to determine the area of a small figure, you can just multiply it out to make it easy!  12 x 6 is 72.  The area of the rectangle is 72.

Now for the triangle!  12 x 10 is 120.  Remember, if a question ever puts a number near that diagonal side (that does remain without a number near it now), it's trying to trick you.  Only multiply the straight sides together.  

For a triangle though, you would always divide the area by 2.  A triangle is usually half of a square or rectangle.  120/2 = 60.

Now add 60 and 72 together to find the area of the full shape.  That's 132.  :)

Have a good night!

5 dollars per week is the answer to this question and answer

Answer:Therefore, the range is 32 and the standard deviation is approximately 10.523 for the given data set.

Step-by-step explanation:To calculate the range and standard deviation for the given data set {40, 65, 33, 46, 55, 50, 61}, we can follow these steps:

Step 1: Find the range.

The range is calculated by subtracting the minimum value from the maximum value in the data set.

Range = Maximum value - Minimum value

Range = 65 - 33

Range = 32

Step 2: Calculate the mean.

The mean is calculated by summing up all the values in the data set and dividing by the total number of values.

Mean = (40 + 65 + 33 + 46 + 55 + 50 + 61) / 7

Mean = 350 / 7

Mean = 50

Step 3: Calculate the deviation for each value.

Deviation is calculated by subtracting the mean from each value in the data set.

Deviation for 40 = 40 - 50 = -10

Deviation for 65 = 65 - 50 = 15

Deviation for 33 = 33 - 50 = -17

Deviation for 46 = 46 - 50 = -4

Deviation for 55 = 55 - 50 = 5

Deviation for 50 = 50 - 50 = 0

Deviation for 61 = 61 - 50 = 11

Step 4: Square each deviation.

Squared deviation for -10 = (-10)^2 = 100

Squared deviation for 15 = 15^2 = 225

Squared deviation for -17 = (-17)^2 = 289

Squared deviation for -4 = (-4)^2 = 16

Squared deviation for 5 = 5^2 = 25

Squared deviation for 0 = 0^2 = 0

Squared deviation for 11 = 11^2 = 121

Step 5: Calculate the variance.

Variance is calculated by summing up all the squared deviations and dividing by the total number of values.

Variance = (100 + 225 + 289 + 16 + 25 + 0 + 121) / 7

Variance = 776 / 7

Variance ≈ 110.857

Step 6: Calculate the standard deviation.

The standard deviation is the square root of the variance.

Standard Deviation ≈ √110.857

Standard Deviation ≈ 10.523

Answer:

F=C+32.

128=C+32.

C=128-32.

96°C

Answer:

\(y = \frac{1}{2} x- 4\)

Step-by-step explanation:

You can solve this by saying:

\(\Delta y = s \Delta x\)

so in this case we have

\(y - (-2) = \frac{1}{2}(x- 4)\\\)

Now we can simply solve for y:

\(y + 2 = \frac{1}{2} x- 2\\y = \frac{1}{2} x- 4\)

(a) An example of an infinite field such that 4-a -o for all e F is F_2.

Here, the only elements of the field are 0 and 1, and we have 1 + 1 = 0,

which is equivalent to 4 - 1 - 1 = 2 - 1 - 1 = 0. Therefore, for all a e F_2, 4 - a - a = 0, so F_2 satisfies the given condition.

(b) An example of an infinite, non-commutative ring R such that for all a we have that 2a = 0 is the ring of 2x2 matrices over the field F_2 (as defined in part (a)). If we identify the matrix \begin{pmatrix}a&b\\c&d\end{pmatrix} with the element ad + bc of F_2, then R becomes a ring.

Note that R is not commutative since the product of two matrices is not necessarily equal to the product of their entries, and that 2a = 0 for all matrices \begin{pmatrix}a&b\\c&d\end{pmatrix} in R since \begin{pmatrix}a&b\\c&d\end{pmatrix}\begin{pmatrix}0&1\\0&0\end{pmatrix} = \begin{pmatrix}0&a\\0&c\end{pmatrix} and \begin{pmatrix}a&b\\c&d\end{pmatrix}\begin{pmatrix}0&0\\1&0\end{pmatrix} = \begin{pmatrix}b&0\\d&0\end{pmatrix} have entries that are equal to 0 in F_2. Therefore, R satisfies the given condition.

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