Provide the correct justifications for each statement in the derivation of the tangent difference identity.
1.

identity

2. Trigonometric

identities

3. Divide numerator and denominator by


4. Factor out common factors using the quotient identity.

Answer:

50°

Step-by-step explanation:

Angle NMP is an angle that has its vertex on a point along the circumference of the circle, thus, angle NMP is referred to as an inscribed angle of the circle.

The measure of an inscribed angle is equal to half of the measure of the arc it intercepts.

Therefore, the following equation shows the relationship between inscribed angle NMP and arc NP:

m<NMP = ½ × measure of arc NP

m<NMP = ½*100

m<NMP = 50°

Answer:

Notebooks cost $4

Thumb drives cost $18

Step-by-step explanation:

x=$ for notebooks

y=$ for thumb drives

5x + 5y = 110 ----> for Troy

3x + 5y = 102 ----> for Lisa

Use subtraction to find x.

(5x + 5y = 110)

-(3x + 5y = 102)

_____________

2x + 0y = 8

2x = 8

x=4

Sub 4 for x into 5x + 5y = 110

20 + 5y = 110

-20 -20

___________

5y = 90

y=18

Notebooks cost $4

Thumb drives cost $18

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of total distance travelled to total time taken to cover distance.

The radius of the orbit = radius of earth + height of satellite from earth = 4000 miles + 200 miles = 4200 miles

The total distance around the orbit = perimeter of orbit = 2π(radius of orbit) = 2π(4200) = 8400π miles

[tex]Speed=\frac{distance \ traveled}{time\ taken} =\frac{8400\pi\ miles}{6\ hours} =1400\pi\ miles/hour\\\\Distance \ traveled\ in \ 1\ hour=1400\pi\ miles/hour*1\ hour=1400\pi\ miles=4398.23\ miles\\\\Distance=4398\ miles[/tex]

Answer:

In order to find the missing number (X), you must first identify the pattern in the set of numbers. Upon a glance, you can determine that the pattern starts with 4 and then the next number is 2n+1, with n being the preceding number in the set.

Answer:

2 x 3 (prime number, 2 distinct)

Step-by-step explanation:

Answer:

For 6.) y=-2x+1; 9.) y=-7/3x-5

Step-by-step explanation:

Slope intercept form is y=mx+b. m would be the slope (-2 and -7/3) and y is the y-int (1 and -5).

Complete Question

The worldwide market share for a web browser was 20.5​% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser.

At the 0.05 level of​ significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5​%?

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of  20.5 ​%?

Step-by-step explanation:

From the question we are told that

          The population proportion is  [tex]p = 0.205[/tex]

          The sample size is  n  =  200

          The number that uses the browser is  k =  50

          The level of significance is  [tex]\alpha = 0.05[/tex]

Generally the sample proportion is mathematically represented as

       [tex]\^ p = \frac{50}{200}[/tex]

=>    [tex]\^ p = 0.250[/tex]

The null hypothesis is  [tex]H_o : p = 0.205[/tex]

The  alternative hypothesis  is  [tex]H_a : p > 0.205[/tex]

Generally the test statistics is mathematically represented as

          [tex]z = \frac{ \^ p - p }{ \sqrt{ \frac{ p (1 - p )}{ n} } }[/tex]

=>       [tex]z = \frac{ 0.250 - 0.205 }{ \sqrt{ \frac{ 0.205 (1 - 0.205 )}{ 200} } }[/tex]

=>       [tex]z = 1.5764[/tex]

Generally the area under  [tex]z = 1.5764[/tex]  to the right is  

     [tex]p-value = P( Z > 1.5764 ) = 0.057467[/tex]

From the value we obtained we can see that the [tex]p-value > \alpha[/tex] hence

 The decision rule is

Fail to reject the null hypothesis

   The conclusion is

There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 ​%?

Answer:

a= -3/7

b= -0.2

c = -2/8

Step-by-step explanation:

Answer:

-3/7

-2/8

-0.2

Step-by-step explanation:

i did it on khan

Answer:

-8

Step-by-step explanation:

A triangle is always 180 degrees

(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)

65 + 40 = 105

180 - 105 = 75

75 - 83 = -8

Answer:

the angle itself is 75 degrees so x=-8

Step-by-step explanation:

Answer:

303.75

Step-by-step explanation:

135/20=6.75

6.75•45= 303.75

The baby whale would be 35 years old.

[tex]7*10^3[/tex] in standard notation is 7000

To find the whales age, you must divide 7000 by 200, which is 35.

Step-by-step explanation:

[tex]{ ({6}^{ - 4} ) }^{ - 9} \div 6^{6} = {6}^{( - 4) \times (- 9)} \div {6}^{6} = {6}^{( 36)} \div {6}^{6} = {6}^{ (36)- 6} = {6}^{ 30} [/tex]

Answer:

abunda la caca

( its 10m*9y)

Step-by-step explanation:

Answer:

First find the cubes and squares of the 1st and 2nd expression.

1st expression ⇒ [tex](-\frac{2}{3} x^2y)^3 = -\frac{8}{27}x^6y^3[/tex]

2nd expression ⇒ [tex](-\frac{3}{4}xy^2)^2 = -\frac{9}{16}xy^4[/tex]

Now you all you need to do is multiply the 1st expression to 2nd expression.

[tex]-\frac{8}{27}x^6y^3*-\frac{9}{16}xy^4\\\\= \frac{72}{432} x^7y^7[/tex]

The answer fam is..... 14

Answer:

12

Step-by-step explanation:

if 3 magazines = $18

$72/$18 = 4 sets of 3

4 x 3 = 12 magazines

Answer: 348 girls so somewhere around 80 percent

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

make me as brienliest

Answer:

4/90 = 0.04 repeating :)

Answer:

A. Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND

B. ii. -4.681

Step-by-step explanation:

A. Based on the statistics that was shown in the given information above the:

Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND

B. Calculation to determine slope of the estimated regression line that relates the response variable to the predictor variable

Using this formula

Slope =r*Sy/Sx

Let plug in the formula

Slope=-0.927*18.33/3.63

Slope=-16.99191/3.63

Slope=-4.681

Therefore , the slope of the estimated regression line that relates the response variable to the predictor variable is: -4.681

Answer:

The equation x + y = z relates the whole numbers.

Hopefully, this helps! :D

Ask your question below!

Answer: 54

Step-by-step explanation:

The correct order from least to greatest is:

Scientific notation is a system that simplifies very big or small numbers by using 10^... In this case, the number multiplied by the power of 10 indicates the number of 0 or digits before the period (.) in case the number is negative or after the period (.) in case, the number is a positive integer.

Numbers in scientific notation to standard form:

To understand which number is the smallest/greatest let's convert these numbers to regular notation:

Based on this, the correct order is:

Note: This question is incomplete because the complete numbers are not provided. Here is the missing section.

Consider these three numbers written in scientific notation.

1.67 x 10^4

9.7 x 10^-6

4.5 x 10^9

Learn more about numbers in: https://brainly.com/question/17429689

Answer:A. 115

B. 200

C. 11,500

D. 20,000

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

N=7

Answer:

fafafsghdjdbdbdgsysvdve. wwmsk

Answer:

D.)51.837, B.)51.836, A.)51.835, C.)51.736

Step-by-step explanation:

its decreasing in this order

Answer:

51.837 > 51.836 > 51.835 > 51.736

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Statistics,

If we see here, The Andrew is working for 20 hours and his pay for 20hours is, $175

so for 1 hour, he gets = 175÷20 => $8.75 per hour

, so now after 1 year, his pay increases by $1.05 per hour, then we have to add this new amount of pay in his old amount, so that we can show that his pay is actually INCREASED, so the new pay is given as,

$8.75 + $1.05 (per hour)= $9.80

so now his total pay is given as,

E= 9.80h

Option D.) is correct

Answer:

Y = -15

Step-by-step explanation:

When you understand how to do it, it's easy!

since x = -7, replace x with -7...

y = 2(-7) - 1

then...multiply...

y = -14 - 1

then finish...

y = -15

wooHoo! Pls Brainliest! Would help a lot! ;)

Answer:

x=-2

Step-by-step explanation:

3(2x-1)+2x=4x-11

6x-3+2x=4x-11

8x-3=4x-11

8x=4x-8

4x=-8

x=-2

The answer to the equation is [tex]x=-2[/tex]

First, you must use distributive property to simplify the equation.

[tex]6x-3+2x=4x-11[/tex]

Then, you must combine like terms.

[tex](6x+2x)-3=4x-11[/tex]

[tex]8x-3=4x=11[/tex]

Next, you must subtract 4x on each side

[tex]4x-3=-11[/tex]

Then, add 3 on both sides

[tex]4x=-8[/tex]

Finally, divide both sides by 4

[tex]\frac{4x}{4} =\frac{-8}{4}[/tex]

[tex]x=-2[/tex]