Which of the following is not an identity for tan (X/2)

Answer:

C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.

Step-by-step explanation:

From the given information;

A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.

A random sample is usually an outcome of any experiment that cannot be predicted before the result.

SO;

One plan is to select 400 voters, another plan is to select 1,600 voters

If the study were conducted repeatedly (selecting different samples of people each time);

Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.  This is because a sample proportion deals with random experiments that cannot be predicted in advance and they  are  quite known to be centered about the population proportion.

Answer:

Because the triangle is isosceles, the base angles are congruent, meaning that the angles that are not right angles are x and x. Since the sum of angles in a triangle is 180°, we can write:

90 + x + x = 180

x + x = 90

2x = 90

x = 45°

Answer:

45 degrees

Step-by-step explanation:

This triangle is "isosceles..." two legs are equal.  Thus, the triangle has two 45 degree angles.  The indicated angle is 45 degreees.

Answer:

SAS Postulate (third option)

Step-by-step explanation:

A trick that I use is that s stands for side and a for angle

the picture shows that two sides are the same which means the SS

and one angle is the same, hence the one A

Hope this helps!

Answer:

Step-by-step explanation:

To find x we use cosine

cos ∅ = adjacent / hypotenuse

From the question

The hypotenuse is x

The adjacent is 18

So we have

cos 69 = 18/x

x cos 69 = 18

Divide both sides by cos 69

x = 18/cos 69

x = 50.2

x = 50° to the nearest tenth

Hope this helps you

Answer: 2.73 cm

Step-by-step explanation:

Given that :

Side (a) of cube = 4.4cm

Volume of a cube (V) = a^3

V = 4.4^3

V = 85.184cm^3

Therefore, volume of the sphere made = 85.184cm^3

Volume of sphere = 4/3 πr^3

Where r = radius

85.184 = (4/3)*(22/7)*r^3

85.184 = (88/21)*r^3

85.184 = 4.1905 * r^3

r^3 = 85.184 / 4.1905

r^3 = 20.327884

Take the cube root of both sides

r = 2.73 cm

Answer: 46 eggs

Step-by-step explanation:

There are 12 eggs in a dozen.  Thus, there are 3 5/6*12, or 46 eggs.

Hope it helps <3

Answer:

$600

Step-by-step explanation:

1800/300 = 6

6 x 100 = $600

Answer:

$600

Step-by-step explanation:

1800/300 = 6

6 x 100 = $600

Answer:

x=7

2x+45=59

3x+55=76

Step-by-step explanation:

Answer:

7°, 59°, 76°

Step-by-step explanation:

The equation for the sum of the angles:

Solving for x:

The angles:

Answer:

The answer is 1/5 + z = 3/5

Step-by-step explanation:

Answer:

1/5+z=3/5

Step-by-step explanation:

Answer:

y=-2x+3 (first choice)

Step-by-step explanation:

-y-intercept is at positive 3, so the "b" value is +3

-the line is going downward from left to right, so the slope is negative

-slope is defined as rise over run, which is 2/1, or 2, so the "m" value is -2

-that gives you the functions equation to be y=-2x+3.

Answer:

<B = 32°

c = 9.43

Step-by-step explanation:

To find the measure of <B, add up the measures of the two angles that you know and subtract from 180°.

58° + 90° = 148°

180° - 148° = 32°

The measure of <B is 32°.

To find the length of side c, use the Pythagorean Theorem.

a² + b² = c²

5² + 8² = c²

25 + 64 = c²

89 = c²

c = √89

c = 9.433981132 ⇒ 9.43 (rounded to two decimal places)

The length of side c = 9.43.

Hope that helps.

Answer:

2 possible values

Step-by-step explanation:

The given expression is:

[tex]\sqrt[3]{\frac{144}{y} }[/tex]

In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:

1, 8, 27, 64, 125

The values of y that would result in those numbers are:

[tex]y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152[/tex]

Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.

Answer:it’s b

Step-by-step explanation:

Just took quiz on edge 2020

Answer:

The correct option is;

As x → ∞ f(x) → -∞, and  as x → -∞ f(x) →∞

Step-by-step explanation:

The values given are;

x,      f(x)

-4,     18

-3,     9

-2,     6

-1,      3

0,      0

1,      -3

2,     -6

3,     -9

4,     -18

Based on the table, as the magnitude of x increases in the positive direction,  the magnitude of f(x) increases in the negative direction

Therefore, the correct option that best predicts the end behavior of the graph of f(x) is As x → ∞ f(x) → -∞, and  as x → -∞ f(x) →∞.

Answer:

25.7 feet

Step-by-step explanation:

We are solving a right angled triangle.

We are the Trigonometric function of Tangent

tan θ = Opposite side/Adjacent

Angle of Elevation = θ = 34°

Opposite side = Height

Adjacent = 30 feet

tan 34° = Opposite side/30 feet.

Opposite side = tan 34° × 30 feet

Opposite side = 20.235255505 feet

The height of the light house =

Opposite side(height) + Amelia's height

20.235255505 feet + 5.5 feet

= 25.735255505 feet

Approximately to the nearest tenth ≈ 25.7 feet

Answer:

b^8

Step-by-step explanation:

When multiplying exponents with the same base, we can add the exponents

b^2 * b^6

b^ (2+6)

b^8

Answer:b8 x

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "b6"   was replaced by   "b^6".  1 more similar replacement(s).

STEP

1

:

Multiplying exponential expressions

1.1    b2 multiplied by b6 = b(2 + 6) = b8

Final result :

 b8x

Answer:

interquartile range=20.55

Step-by-step explanation:

5.6, 11.1, 19.2, 24.5, 33.3

median is  19.2

Q1=(5.6+11.1)/2=8.35

Q3=(24.5+33.3)/2=28.9

interquartile range= Q3-Q1=28.9-8.35=20.55

Hey there! I'm happy to help!

When talking about percents, the word "is" usually means equals. Let's use this to solve an equation! We will call our number n. Note that 30% is equal to 0.3 in decimal form because 0.3 is 30% of one! :D

0.3n=45

To solve, we need to isolate the n. To do this, we divide both sides by 0.3 because this cancels out the 0.3 that is being multiplied by n and it shows us what n will then equal.

0.3n÷0.3=45÷0.3

n=150

Therefore, 30% of 150 is 45. Try multiplying 0.3 by 150 and you will get 45!

Have a wonderful day! :D

Answer:

108

Step-by-step explanation:

Answer:

C. 16π

Step-by-step explanation:

Well we need to find the area of the top circle which has a radius of 4cm.

π(4)^2

16π in terms of pi

Thus,

the answer is C. 16π.

Hope this helps :)

it's a quadrilateral

interior angles add up to 360

x + 2x - 75 + x + x - 35 = 360

5x - 110 = 360

5x = 360 + 110

x = 470 ÷ 5

x = 95

and x - 35 = 60

2x - 75

= 190 -75

= 115

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x + x - 35 + 2x - 75 = 360, that is

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94 , then

x - 35 = 94 - 35 = 59

2x - 75 = 2(94) - 75 = 188 - 75 = 113

Thus

The 4 angles are 59°, 94°, 94°, 113°

Answer:

No

Step-by-step explanation:

I believe at the point of (1,1)  there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous.

Continuous means that there is no abrupt changes (google) and im sure you know this already (im just saying no offence to anyone's intelligence)

The given function is not continuous. The correct option is D.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

A continuous function in mathematics is one that causes the value of the function to continuously vary as the input changes over time. This indicates that there aren't any discontinuities or sudden changes in value.

The point of (1,1)  there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous. Continuous means that there are no abrupt changes.

It is shown in the graph that the function is reducing continuously at the point ( 1,-1) and after that, there is a sudden change in the function after that it becomes constant or parallel to the x-axis.

Because there is a sudden change in the function it will be termed a discontinuous function.

Hence, the function is not continuous, and the correct option is D.

To know more about continuous function follow

https://brainly.com/question/18102431

#SPJ5

Answer:

x^2 +4x + y^2 -2y +1 =0

Step-by-step explanation:

First we need to find the radius

Since the y coordinate is the same, the radius is the difference in the x coordinate -2 - (-4) = -2+4 = 2

A circle can be written in the form

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x--2)^2 + (y-1)^2 = 2^2

(x+2)^2 + (y-1)^2 = 4

FOIL ing

x^2 +4x+4  + y^2 -2y +1 = 4

Combining like terms

x^2 +4x + y^2 -2y +5 -4 =0

x^2 +4x + y^2 -2y +1 =0

Answer and Step-by-step explanation:

Answer:

x^2 +4x + y^2 -2y +1 =0

Step-by-step explanation:

First we need to find the radius

Since the y coordinate is the same, the radius is the difference in the x coordinate -2 - (-4) = -2+4 = 2

A circle can be written in the form

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x--2)^2 + (y-1)^2 = 2^2

(x+2)^2 + (y-1)^2 = 4

FOIL ing

x^2 +4x+4  + y^2 -2y +1 = 4

Combining like terms

x^2 +4x + y^2 -2y +5 -4 =0

x^2 +4x + y^2 -2y +1 =0

Hi there! :)

Answer:

a = 12 units.

Step-by-step explanation:

Using the Pythagorean Theorem (c² = a² + b²), where

c = length of the Hypotenuse

a = length of the shorter leg

b = length of the longer leg

We can calculate the length of "a" by substituting in the values into the equation:

c = 15

a = "x"

b = 9

----------------

15² = x² + 9²

Simplify the squares:

225 = x² + 81

225 - 81 = x²

144 = x²

Take the square root of both sides:

√144 = x

x = 12 units.

Therefore, the length of a = 12 units.

Answer:

a= 12

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

b= 9

c= 15

a= x = what we are looking for

For this problem, we need to set c² equal to x² and b², which would look like:

15²= x²+9²

225= x²+81

Subtract 81 from both sides

144=x²

Square root both sides

x=12

a= 12

Answer:

5/14

Step-by-step explanation:

I assume after testing the 1st car, it is not placed back into the pool.

So, 1st test orange is 5/8

2nd test orange is 4/7.

Both had to be true, so 5/8 x 4/7 = 5/14

Answer:

x=-3

Step-by-step explanation:

2 x - 3 y = -12.

4 x + y =  -10.

The Answer is:

X= -3

Answer:

5inch

Step-by-step explanation:

15_10=5

because full length is 15 cm given on another side and length of some part of another side is. given.so we have to subtract it

Answer:

5 inches

Step-by-step explanation:

You can notice that the 15 in side is parallel to the 10 in side and the missing side

let x be the missing side

so x is 5 inches

Answer:

Step-by-step explanation:

Given,

Length ( l ) = 5 meters

Width ( w ) = [tex]6 \frac{3}{4} [/tex] meters

Height ( h ) = [tex]3 \frac{1}{2} [/tex] meters

Now, Let's find the volume of rectangular prism :

[tex]volume \: = l \: \times \: w \: \times \: h[/tex]

plug the values

[tex] = 5 \times \frac{27}{4} \times \frac{7}{2} [/tex]

Calculate the product

[tex] = \frac{5 \times 27 \times 7}{4 \times 2} [/tex]

[tex] = \frac{945}{8} [/tex]

[tex] = 118.13 \: {m}^{2} [/tex]

Hope this helps..

Best regards!!

Answer:

A-1/216

Step-by-step explanation:

(1/6)^3 is the same as: 1^3/6^3. Since one to any power is always 1, it woudl just be 1/6^3.  6^3 is 216, so the answer would be 1/216.

Hope this is helpfule! :)

Answer:

1/216

Step-by-step explanation:

(1/6)^3

(1/6) * (1/6) * (1/6)

1/216

[tex]\dfrac{2ax+3}{ax+3}=-1[/tex]

Rewrite -1 as a fraction

[tex]\dfrac{2ax+3}{ax+3}=\dfrac{-1}{1}[/tex]

Cross multiply

[tex]2ax+3=-1(ax+3)[/tex]

Distribute the -1

[tex]2ax+3=-ax-3[/tex]

Add both sides by ax

[tex]3ax+3=-3[/tex]

Subtract both sides by 3

[tex]3ax=-6[/tex]

Divide both sides by 3a

[tex]x=-\dfrac{6}{3a}[/tex]

Simplify

[tex]=-\dfrac{2}{a}[/tex]

That's the value of x respect to a. Let me know if you need any clarifications, thanks!

Answer:

Step-by-step explanation:

[tex]\frac{2ax+3}{ax+3} =-1\\2ax+3=-ax-3\\2ax+ax=-3-3\\3ax=-6\\x=-\frac{2}{a}[/tex]