Use the Angle Addition Postulate to find the measure of the unknown angle.

A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

We know that, the odds ratio is one that is often calculated with the use of the number of case-patients who were or were  not exposed to a factor (e.g. as a particular cream) and the number of controls that did or did not have the exposure.

Odds ratio is nothing but  is a measure of association between exposure and an outcome.

It calculates the relationship between a variables and the likelihood of an event occurring.

Note that there are different kinds of statistical tool  that are used for research purpose.

Therefore, A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

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Any 1 of the following transformations will work. There are others that are also possible.

translation up 4 units, followed by rotation CCW by 90°.

rotation CCW by 90°, followed by translation left 4 units.

rotation CCW 90° about the center (-2, -2).

Step-by-step explanation:

The order of vertices ABC is clockwise, as is the order of vertices A'B'C'. Thus, if reflection is involved, there are two (or some other even number of) reflections.

The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is a sequence of transformations involved, so a single rotation is probably not of interest.

If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.

If we rotate the final figure 90° CW, we find it ends up 4 units north of the starting position. So, another possible transformation is translation up 4 units + rotation 90° CCW.

Of course, rotation 90° CCW in either case is the same as rotation 270° CW.

_____

Answer:

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation i2 = −1; every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes. For the complex number a + bi, a is called the real part and b is called the imaginary part. The set of complex numbers is denoted by either of the symbols {\displaystyle \mathbb {C} }\mathbb {C} or C. Despite the historical nomenclature "imaginary", complex numbers are regarded in the mathematical sciences as just as "real" as the real numbers and are fundamental in many aspects of the scientific description of the natural world.[1][a]

Step-by-step explanation:

p has an odd degree and an odd leading coefficient.

So,

answer: I think the result is 12

Step-by-step explanation:

c(b+a)-a=

2(3+6)-6=

6+12-6= 12

Fiber optic  type of cable is uses a two-number designator consisting of core and cladding measurements.

What does fiber optics serve?

What methods are used to deploy fiber optics?

Can fiber optics compete with the internet?

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Answer: The incorrect label is (line g)

Step-by-step explanation: Line G is incorrect because G is a point. All the other options describe a line.

The probability of either A or B occurring will be 0.8.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Being connected in a way that one excludes or prevents the other events from happening also: completely at odds despite the fact that their viewpoints did not conflict.

Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and P(B) = 0.5.

Then the probability of either A or B occurring will be

P(AUB) = P(A) + P(B)

P(AUB) = 0.3 + 0.5

P(AUB) = 0.8

The probability of either A or B occurring will be 0.8.

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Answer: 18 is 45% of 40

18/40 =.45

.45 x 100 = 45%

Answer:

$ 124,918

Step-by-step explanation:

Plus all of them toghether.

Also: I got yo back

Answer:

124,909

Step-by-step explanation:

Add them up.

38,219 + 57,623 + 29,067 = 12,909

The values of x are 3/ 2, 6 and 1/ 2 respectively.

Given the inequalities;

|x+2| < |x+1|

collect like terms

|x + x| < |1 + 2|

add like terms

|2x| < |3|

Make 'x' the subject

|x| < |3/ 2|

|x^2 + x -12| = x^2 +2x - 6

Take the absolute values of the expression

x² + x + 12 = x² + 2x - 6

collect like terms

x² - x² + x - 2x = -6 + 12

- x = 6

x = 6

|x-5|+|x+2|<8

Take absolute values

x + 5 + x + 2 < 8

collect like terms

2x + 7 < 8

2x < 8 - 7

Make 'x' the subject

x < 1/ 2

Thus, the values of x are 3/ 2, 6 and 1/ 2 respectively.

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Answer: Is 86 your welcome have a nice labor day

Step-by-step explanation:

Considering the definition of perpendicular line,  the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 7x+2y=14. Expressed in the form y = mx + b, you get:

2y= 14 - 7x

y= (-7x + 14)÷ 2

y= -7/2x - 7

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -7/2. So:

-7/2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-7/2)

slope perpendicular line= 2/7

So, the perpendicular line has a form of: y= 2/7x + b

The line passes through the point (7,-6). Replacing in the expression for perpendicular line:

-6= 2/7× (7) + b

-6= 2 + b

-6 -2 = b

-8= b, being b the y-intercept of the line.

Finally, the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

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Answer:

8

Step-by-step explanation:

this is because If you multiply the denominator by 2 you will get 32

so if you likewise multiply the numerator by 2 you will get 8

Step-by-step explanation:

e = 129° ( being vertically opposite angle )

Now ,

f + 129° = 180° ( being the angle in linear pair )

Again ,

d + 90° = 180° ( being the angle in linear pair )

d = 180° - 90°

d = 90°

☘️☘️☘️ ...

Answer:

d = 90° , e = 129° , f = 51°

Step-by-step explanation:

d and 90° are a linear pair and sum to 180° , that is

d + 90° = 180° ( subtract 90° from both sides )

d = 90°

e and 129° are vertically opposite angles and are congruent , then

e = 129°

f and 129° are a linear pair and sum to 180° , that is

f + 129° = 180° ( subtract 129° from both sides )

f = 51°

Answer:

a = -34    b = 141    c = 95   d = 74   e = -43    f = -15

Step-by-step explanation:

Subtract the payments from the balance and add the receipts.

Payment means money going out so your balance is decreasing.

Receipts means money coming in, so your balance increases

Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = [tex]a^{3}[/tex]

Then,

Volume of cube = 1000000 cm

                   [tex]a^{3}[/tex]  = [tex]100^{3}[/tex]

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Answer:

y = [tex]\frac{x+1}{2}[/tex]

Step-by-step explanation:

y = 2x - 1

switch the x and y variables

x = 2y - 1

solve for y

x + 1 = 2y

[tex]\frac{x+1}{2}[/tex] = y

Answer:Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .

Step-by-step explanation:

From the odd function, the table is completed as follows:

For this problem, we have that it is an odd function, then:

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Answer:

7.25 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can start by solving for t using the fact that  [tex]cos(t) = \frac{2}{9}[/tex].

[tex]t = cos^{-1}(\frac{2}{9}) = 77.16\\[/tex]

then using that value of t solve for sin(t)

sin(t) = 0.975

As cos(t) is given and t is in the first quadrant then sin(t) will be equal to 8.77/9.

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the information in the question,

cos(t) = 2/9

As we know that cos θ = B/H

B = 2 and H = 9

Now, use Pythagoras's theorem,

H² = P² + B²

P² = 9² - 2²

P = √77

P = 8.77

We also know that sin θ = P/H

So, sin(t) = 8.77/9

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The y-intercept of the given exponential function would be represents the initial value of the investment is $500 which is the correct option (B).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The given exponential function f(x) = 500(1.03)ˣ

Here x would be represented growth of the savings plan per year

To determine the y-intercept of the function

We have to substitute the value of x = 0 in the given function,

⇒ f(x) = 500(1.03)⁰

⇒ f(x) = 500(1)

⇒ f(x) = 500

Therefore, the y-intercept of the given exponential function would be represents the initial value of the investment is $500.

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Answer:

What does x=

Solve for x

x=25

Answer:

Step-by-step explanation:

(5x+10)+(2x-5)= 180°

first we simplify as much as possible

so, we can add 5x + 2x to get 7x

then we do 10-5 which equals 5.

now we have

7x+5=180

subtract 5 from both sides

7x= 175

x=25

now we input x into <ABD

5x+10

5(25)+10

125+10

130

<ABD=130°

When a washer and a dryer cost $995 combined. If  the washer cost $45 more than the dryer, then the cost of the dryer is $475

The combined cost of a washer and a dryer = $995

Consider the cost of a dryer as x

The washer cost $45 more than the dryer.

The cost of the washer = x+45

Then the equation will be

x+x+45 = 995

2x+45 = 995

2x = 950

x = 950/2

x = 475

The cost of the dryer is $475

Hence, when a washer and a dryer cost $995 combined. If  the washer cost $45 more than the dryer, then the cost of the dryer is $475

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