if sin theta < 0 and tan theta < 0 then:​

Answer:

10 and 42

Step-by-step explanation:

The difficulty with word problems is translating them into math.

Let's do that

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

The sum of a number and two times a smaller number is 62.

let's call the bigger number b, and the smaller number s

b + 2s = 62

Three times the bigger number exceeds the smaller number by 116

3b = s + 116

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

Now manipulate one of the equations to isolate the variable

3b = s + 116

Subtract 116 from both sides

3b - 116 = s

substitute for s = 3b - 116 in

b + 2s = 62

b + 2(3b - 116) = 62

Distribute

b + 6b - 232 = 62

combine like terms

7b = 294

Divide both sides by 7

b = 42

to find s plug in b = 42 into

b + 2s = 62

42 + 2s = 62

subtract 42 from both side

2s = 20

divide both sides by 2

s = 10

Answer:

I figured out that the probability that both marbles are red is 20/56 and the probability that both are green is 6/56. Then I added them together to get 26/56.

Hope this answer is right !

Answer:

10,935

Step-by-step explanation:

lvl 1: 15 x 3=45

lvl 2: 45 x 3=135

lvl 3: 135 x 3=405

lvl 4: 405 x 3=1215

lvl 5: 1215 x 3=3645

finally lvl 6: 3645 x 3=10,935

Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.

A geometric progression is a series in which every number is the product of the previous number and a common ratio.

The first term of a geometric progression is represented as a.

The common ratio is represented by r.

The n-th term of a geometric progression (aₙ) is determined by the formula,

aₙ = arⁿ⁻¹.

We are given that Taylor is playing a video game. She earns 15 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.

We are asked to find the points she will earn when she completes level 6.

The given case can be seen as a geometric progression as the points collected after completion of every level are the product of the previous level's point and a common ratio of 3.

In this geometric progression, a = 15, and r = 3.

We need to find the point collected by Taylor when she completes level 6.

This is the 6th term of our geometric progression. We determine the 6th term using the formula of the n-th term of a geometric progression:

aₙ = arⁿ⁻¹.

∴ a₆ = (15)*(3)⁶⁻¹ = 15*3⁵ = 15*243 = 3645.

∴ Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.

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Answer:

6 ounces

Step-by-step explanation:

Create a proportion where x is the number of ounces per 1 mile:

[tex]\frac{4.5}{0.75}[/tex] = [tex]\frac{x}{1}[/tex]

Cross multiply and solve for x:

4.5 = 0.75x

6 = x

So, the answer is 6 ounces

6 ounces

Step-by-step explanation:

Let the unknown number be x

[tex]4 \frac{1}{2} \: \: ounces = \frac{3}{4} \: \: miles \\ x = 1 \: \: mile[/tex]

Now simply use cross multiplication to solve it

[tex]4 \frac{1}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} = \frac{3x}{4} \\ [/tex]

Now make x as the Subject

[tex] \frac{9}{2} = \frac{3x}{4} \\ \frac{9 \times 4}{2 \times 3} = x \\ \frac{36}{6} = x \\ 6 = x[/tex]

So the answer is

6 ounces

Answer:

distributive

Step-by-step explanation:

Answer:

Step-by-step explanation:

They are vertical

Answer:

d. No because n·(1 - [tex]\hat p[/tex]) = 8.96 is less than 10

Step-by-step explanation:

Question options;

a. Yes because the sample sizes of both groups are greater than 5

b. Yes, because in both cases n·[tex]\hat p[/tex] > 10

c. Yes, because we know that the population is evenly distributed

d. No, because the n·(1 - [tex]\hat p[/tex]) is less than 10

Explanation;

The given data are;

The number of men in the sample of men, n₁ = 41

The proportion of men who dislike anchovies, [tex]\hat p_1[/tex] = 0.67

The number of women in the sample of women, n₂ = 56

The proportion of men who dislike anchovies, [tex]\hat p_2[/tex] = 0.84

The assumptions for an analysis of the difference between means using a T-test are;

1) The data should be from a random sample of the population

2) The variables should be approximately normal (n·[tex]\hat p[/tex] ≥ 10, and n·(1 - [tex]\hat p[/tex]) ≥ 10)

3) The scale of the data is a continuous ordinance scale

4) The sample size should be large

5) The sample standard deviations should be approximately equal

From the requirement for normality, we have;

For the sample of men, n₁·[tex]\hat p[/tex]₁  = 41 × 0.67 = 24.47 > 10

n₁·(1 - [tex]\hat p[/tex]₁) = 41 × (1 - 0.67) = 13.53 > 10

For the sample of women, n₂·[tex]\hat p[/tex]₂  = 56 × 0.84 = 47.04 > 10

n₂·(1 - [tex]\hat p[/tex]₂) = 56 × (1 - 0.84) = 8.96 < 10

Therefore, the for n₂·(1 - [tex]\hat p[/tex]₂), the sample does not meet the requirement for normality

The correct option is d. No because n₂·(1 - [tex]\hat p[/tex]₂) = 8.96 is less than 10

Answer:

#1

roots

No complex roots

#2

2 complex roots as if we graph it only x intercept we can get rest two roots are not real .

Check the graph

Answer:

A. y^3 + 27

Step-by-step explanation:

Ed22

Answer: A. y3+27

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If it is September, then it is my birthday

The converse of the statement "If it is my birthday, then it is September" is If it is September, then it is my birthday option (D) is correct.

A conditional statement with the antecedent and effect reversed is known as a converse statement.

We have a statement:

"If it is my birthday, then it is September"

As per definition, the converse of the statement says antecedent and effect reversed is known as a converse statement.

We can converse the given statement as follows:

If it is September, then it is my birthday.

Thus, the converse of the statement "If it is my birthday, then it is September" is If it is September, then it is my birthday option (D) is correct.

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Answer:

θ = 104°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

Identify and set up

m∠A = 31°

m∠B = θ

m∠C = 45°

θ + 31° + 45° = 180°

Step 2: Find θ

Answer:

104

Step-by-step explanation:

All interior angles of triangles add up to 180. So, using the information we are given we can find the missing angle, theta. One way to do this by setting up an equation like 31+45+θ=180. Solve this to get 104, your final answer. If you want, you can check your work by plugging in 104, 31+45+104=180. Since 180=180, 104 must be correct.

Answer:

Step-by-step explanation:

17.63+145.86+52.91=206.40

i have no clue what you really need the question is unclear

Answer:

$127.75

Step-by-step explanation:

Multiply the cost by the area to find the total cost

Answer: A) (-1, 3)

Step-by-step explanation:

When reflecting across the y-axis the y value of the point stays the same and the x values flips to it's opposite.

The point of A on ΔABC is (1, 3)

The x value is 1. The opposite value of 1 is -1 giving us the coordinates (-1, 3)

Answer:

The formula of the circumference of the circle

[tex]C =\pi D[/tex]

Step-by-step explanation:

To find the circumference of the circle follow the given steps.

1. Take a thread.

2. Fix one end of the thread at one point of the circle.

3. Move the thread along the length of the circle.

4. You reach the same fix end.

5. Measure the length of the thread.

6. It is the circumference of the circle.

The formula of the circumference of the circle

[tex]C =\pi D[/tex]

where D is the diameter of the circle.

Answer: $42546.9 will be the earning in 4 years.

Step-by-step explanation:

The equation for compound interest follows:

[tex]A=P(1+\frac{r}{100})^n[/tex]

where,

A = total amount

P = Principle amount

r =  rate of interest

n = number of years

We are given:

Earnings earned per month = $3250

Earnings earned per year = ($3250 × 12) = $39000

The values become:

[tex]P=\$39000\\r=2.2\%\\n=4yrs[/tex]

Putting values in above equation, we get:

[tex]A=39000(1+\frac{2.2}{100})^4\\\\A=\$ 42546.9[/tex]

Hence, $42546.9 will be the earning in 4 years.

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

Work Shown:

7(-2-7k) + 4

7(-2) + 7(-7k) + 4

-14 - 49k + 4

-49k + (-14+4)

-49k - 10

In the second step, I distributed the outer 7 to each term inside. From there, I grouped and combined like terms, which were the -14 and 4.

9514 1404 393

Answer:

  y = 9x^2 -8x +9

Step-by-step explanation:

The given equation has derivative ...

  y' = 2ax +b

The requirements on slope give rise to two equations:

  2a(1) +b = 10

  2a(-1) +b = -26

Adding these equations together gives ...

  2b = -16   ⇒   b = -8

Then we have ...

  2a -8 = 10

  a = (10 +8)/2 = 9

__

The given point lets us find the constant term c.

  y = 9x^2 -8x +c

  c = y -(9x -8)x = 29 -(9(2) -8)(2) = 29 -20 = 9

The equation of the parabola is ...

  y = 9x^2 -8x +9

Answer:

See attached

Step-by-step explanation:

The proof is in the attached picture.

Answer:

m = [tex]\frac{y+4}{x+5}[/tex]

Step-by-step explanation:

y-(-4) = m(x-(-5))

Simplify, distribute the negative sign outside of the parenthesis, remember negative times negative equals positive

y + 4 = m (x + 5)

Inverse operations, divide the equation by the value inside of the parenthesis

[tex]\frac{y+4}{x+5}[/tex] = m

Answer:

m=y+4x/x+5 your welcome !!

Answer:

Here

Step-by-step explanation:

So, AKH would be also 65 as well as AKX

Answer:

Trangle B and D

Step-by-step explanation:

They look more than 90 degrees

Answer:

1

Step-by-step explanation:

4^0

Any number raised to the 0 power is 1.

Answer:

1

Step-by-step explanation:

Anything raised to  0  is  1.

Answer:

[tex] {y}^{2} + \frac{4}{y} = 2 \\ {y}^{3} + 4 = 2y \\ {y}^{3} - 2y + 4 = 0 \\ y = - 2, \: \: \: \: 1 + i[/tex]

Answer:

B

Step-by-step explanation:

The question says reflection across y = 1 so first find this line on the graph. It will be a horizontal line.

The Y axis is the vertical axis and so the 1 is the line right above the X axis.

So to reflect, it will be the same number away from the line when reflected as when it began on the opposite side of the line. So, S is one under the reflection line so it will be one above making its new point ( 2 , 2 )

Q is right on the line so it will not move.

R is two above the line so it will now be two below the line to have ( 3 , - 1 )

Answer:

11 2/3

Step-by-step explanation:

2 1/3 * 5

Change the mixed number to an improper fraction

2 /13 = ( 3*2+1)/3  = 7/3

7/3 * 5/1

35/3

Now change it back to a mixed number

3 goes back into 35 11 times with 2 left over

11 2/3

Answer:

11 2/3

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

7/3 * 5/1  

Applying the fractions formula for multiplication,

7*5 = 35, 3*1= 3  overall= 35/3

Simplifying 35/3, the answer is

= 11 2/3

Answer: 30

Step-by-step explanation:

there are 5 fifths in 1 hinting the name fifths

So that means there are 30 fifths in 6

Answer:

29.11

Step-by-step explanation:

This is clearly cos. So make an equation of cos equals 9 / x. Then use cross product to get x times cos equals 9. Finally divide by cos and use the calcuator to get x equals 29.11.

Answer:

D.

[tex]y = - 4x - 5[/tex]

Step-by-step explanation:

This is because the slopes are the same