One way to simplify an expression containing trigonometric functions is to first write the expression in terms of
---Select---
and
---Select---
only.

Answer:

-2 = 1

-1 = 3

0 = 5

1 = 7

2 = 9

Step-by-step explanation:

Answer:

m= -40

Step-by-step explanation:

Answer:

[tex]\frac{5}{42}[/tex]

Step-by-step explanation:

It makes a difference if the marbles are place bag into the bag after selecting.  Since this is not stated, I am assuming that once a marble is selected, it is not placed back in the bag.

[tex]\frac{5}{9}[/tex] x [tex]\frac{4}{8}[/tex] x [tex]\frac{3}{7}[/tex] = [tex]\frac{60}{504}[/tex]  This simplified would be [tex]\frac{5}{42}[/tex]  The 5 represent the number of blue marbles available our of 9 total marbles.  Next, we only have 4 blue marbles available out of a total of now 8 marbles and lastly, for the third draw we only have 3 blue marbles available and only 7 total marbles are left.

If the marbles are replaces that changes the problem and the answer would be [tex]\frac{5}{9}[/tex] x [tex]\frac{5}{9}[/tex] x [tex]\frac{5}{9}[/tex] = [tex]\frac{121}{729}[/tex]

Answer:

=====================

The left side is an absolute value, which is never negative.

So if c < 0, then the equation has no solutions.

The three numbers before 1022₅ are 1014₅, 1020₅, 1021₅ while the three numbers after 1022₅ are 1023₅, 1024₅, 1030₅

The number is given as

1022₅

As a general rule in number base.

If the base of a number is n

The highest digit in any number in that base is n - 1

This means that the highest digit in base 5 is 4

Using the above as a guide, the three numbers before 1022₅ are 1014₅, 1020₅, 1021₅ while the three numbers after 1022₅ are 1023₅, 1024₅, 1030₅

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The value of x in tan x = 4 over 9 is x = 23.9

The trigonometric equation is given as

tan x = 4 over 9

Rewrite the above equation properly

So, we have

tan(x) = 4/9

Evaluate the quotient

So, we have

tan(x) = 0.4444

Take the arc tan of both sides

x = 23.9

Hence, the value of x in tan x = 4 over 9 is x = 23.9

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Answer: 69

Step-by-step explanation: Your mom

$ 500 because the amount of percentage increase faster.

What is percentage increase?

The amount that has increased from the initial number to the final number in terms of 100 parts of the original is essentially what the concept of percent increase refers to.

As per the question

Each of Mrs. white two children received $50 of their saving account

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty We can only predict only the chance of an event to occur it is how likely they are to happen, using it.

So the original found in their saving account

Let a=$500

     b=$300

A has greater amount in compared to be so

$500 I'd a greater percentage of increasing amounts.

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Answer: (x-2)(x+y)

Step-by-step explanation:

x² + xy-2x-2y=

x(x+y)-2x-2y=

x(x+y)-2(x+y)=(x-2)(x+y)

Answer:

[tex] \large \boxed{(x- 2)(x+y)}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + xy - 2x - 2y[/tex]

We are given with 4 terms. so use grouping method for factoring. To factor the given expression we take out GCF

[tex]x^2- 2x +xy - 2y[/tex]

we group first two terms and last two terms

then take out GCF from each group

[tex]x(x-2) +y(x-2)[/tex]

Now take out common factor x-2

[tex](x- 2)(x+y)[/tex]

Answer:

(8)(-13); -104

Step-by-step explanation:

Product means to mutliply, so the expression is (8)(-13), which evaluates to -104.

The distance from the check point when Odalis catch up Jaquan is 1.2 kilometers.

Relative speed is the net speed difference when objects move in the same direction and sum of individual speeds when objects move in opposite direction.

Given Jaquan speed is 9km/hr which is 0.15km/minute and Odalis has a speed of 12km/hr which is 0.2km/minute.

∴ The relative speed difference between Jaquan and Odalis is

= (0.2 - 0.15) km/hr.

= 0.05 km/hr.

Given Odalis reached the check post after 2 minutes in this time Jaquan have covered (2×0.15) kilometers.

= 0.30 kilometers.

Now to catch up Jaquan, Odalis will need (0.30/0.05) minutes which is

= 6 minutes.

∴ The distance from the check post Odalis travelled to catch up with Jaquan is (0.2×6) kilometers.

= 1.2 kilometers.

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Answer:

1.2 km

Step-by-step explanation:

thats the answer on khan

Putting the data in sequential order, we get:

(a) The median is (4+6)/2 = 5.

(b) The mean is (2+2+3+4+6+12+14+15)/8, or about 7.3.

(c) There is one value that occurs the most, so there is one mode, which is 2.

The possible values of x are 3 and 7

Given the rational expression below;

√60-8x = x - 9

Square both sides to have:

(60-8x)² = (x-9)²

60-8x = x²-18x+81

Equate to zero to have;

x²-18x+81 - 60 + 8x = 0

x² - 10x + 21 = 0

x² -3x-7x +21 = 0

x(x-3)-7(x-3) = 0

x = 3 and 7

Hence the possible values of x are 3 and 7

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Answer: -8

Step-by-step explanation:

Multiply the 8 by the 11 and -12

11(8) - 12(8)

88-96

8

Answer

12 bottles

Step-by-step explanation:

recad

Answer:

1. (-1.5,0), -3/2, or -1(1/2)

2.(-16,0)

Step-by-step explanation:

1. explanation:

the 2 and the -5 are 8 spaces apart (-5,-4,-3,-2,-1,0,1,2). the exact halfway point of them is -1.5. the exact halfway point between 5 and -5 is 0. thus led me to (-1.5,0.) I then graphed it on desmos to see if it was halfway, which it is. (refer to the image)

2. explanation:

the distance between -6 and 4 is 10, so -16 would be the first half of the endpoint location. Then the distance between 4 and 8 is 4, so 4-4 is 0. the start point of 2 is (-16,0)

The operations between the data-sets are given as follows:

8. B ∩ A = {2,3}.

9. A ∩ U = {2,3,5,6}.

10. n(B) = {1,5,6,7}.

11. B x C = {{2,5}, {2, 1}, {2, 3}, {3, 5}, {3,1}, {3,3}}.

The intersection operation between two data-sets is the set that is composed by all the elements that belong to both data-sets. The intersection operation is represented by the symbol ∩.

From the data-sets in this problem, we have that:

The negation of a data-set is the set that contains all elements belonging to the universe set U but not to the data-set.

Hence, from the data-sets in this problem, we have that:

n(B) = {1,5,6,7}.

In which n(B) is the negation of set B.

The multiplication between two data-sets is given by all ordered pairs formed from the two data-sets.

Hence the solution for item 11 is given as follows:

B x C = {{2,5}, {2, 1}, {2, 3}, {3, 5}, {3,1}, {3,3}}.

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Answer:

1.80950 because 9 is a strong number and it will affect all of them

The value of the function f(3) is 1

The graph represents the given parameter

The value of f(3) implies that we calculate the value of the function when x = 3

From the graph, we have

f(x) = 1, when x = 3

This means that

f(3) = 1

The above is calculated by substituting 3 for x in the equation f(x) = 1

Hence,  the value of f(3) is 1

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Answer:

when a die is thrown,the total number of possible outcomes are 1 because die has cubical shape so only one outcomes is possible.

Answer:

Explanation:

one way is to find the intercepts, that is where the graph

crosses the x and y axes

∙

let x = 0, in the equation for y-intercept

∙

let y = 0, in the equation for x-intercept

x

=

0

→

0

+

y

=

−

6

⇒

y

=

−

6

←

y-intercept

y

=

0

→

2

x

+

0

=

−

6

⇒

x

=

−

3

←

y-intercept

plot

(

0

.

−

6

)

,

(

−

3

,

0

)

and draw a straight line

through them

graph{-2x-6 [-14.24, 14.24, -7.12, 7.12]}

Answer:

Answer is the picture attached

Answer:35 &75

Step-by-step explanation:

Answer:

y=-4x+0

Step-by-step explanation:

Slope form is y=mx+b

m is the slope, and b is the y intercept. If the line must pass through (0,0) then the y intercept would be zero.

This give you y=mx+0

Now to find the slope you need a perpendicular line to the previous line. This would mean you have to swap 1/4 which is the previous lines slope.

1/4 is a positive so make it a negative, -1/4

Now flip -1/4 to make is -4/1 which also equals -4

Now with the slope -4 and y-intercept 0, you know you equation

y=-4x+0

Answer:

256.75 or 257 rounded to the nearest 10th

Step-by-step explanation:

Answer:

x= 20

y = 60

Step-by-step explanation:

y = 3x

6(3x) = 360

3x = 360/6

3x = 60

x = 20

y = 3*20

y = 60

Answer:

y=6

Step-by-step explanation:

x=3 is parallel to the y axis so the perpendicular line will be parallel to the x axis and will equals y=6 so it will pass through the point which have a y coordinate of 6

Answer:

x = -9

Step-by-step explanation:

-7(-2x+6) = -168

distributive property:

-7*-2x + (-7*6) = -168

14x+-42 = -168

14x = -126

x = -9