In which quadrant is sin positive and tan positive?

Answers

Answer 1

That would be Quadrant 1, which is the quadrant in the top right corner.

Sin corresponds to the y-value, so sin would be positive at Quadrants 1 and 2.

Tan, which is y/x (sin/cos), is positive at Quadrants 1 and 3.

So at quadrant 1 is where both sin and tan are positive.

Related Questions

how to solve for -5x^2-2x-6=-2 ?

Answers

1. Add 2 to both sides
-5x^2-2x-6+2=-2+2
2. Simplify
-5x^2-2x-4=0
3.
x=-1/5 - i (square root of 19/5)

X=-1/5 - square root of 19/5.

The table below represents an exponential function.

table represents an exponential function.

What is the interval between neighboring
x-values shown in the table?

What is the ratio between neighboring y-values?

Answers

[tex]\bf \begin{array}{cccccccllll} x&0&1&2&3&4&5\\ y&1&4&16&?&256&1024\\ -&-&-&-&-&-&-\\ &&1\cdot \underline{4}&4\cdot \underline{4}&16\cdot \underline{4}&?\cdot \underline{4}&256\cdot \underline{4} \end{array}[/tex]

notice, the first value is 1, but any subsequent values are just the product of 4 and the current value. Thus the "common ratio" is 4.

In given table of exponential function,

The interval between neighboring x-values is of 1 unit.

The ratio is 4 between neighboring y-values

Observing given table.

To find interval between neighboring x-values . We have to take difference between consecutive x - values.

[tex]1-0=2-1=3-2=4-3=5-4=1[/tex]

Since, in every consecutive x- values , difference of 1 is present.

So, The interval between neighboring x-values is of 1 unit.

To find ratio between neighboring y-values , we have to take ratio of consecutive y - values.

[tex]\frac{4}{1}=\frac{16}{4}=\frac{64}{16}=\frac{256}{64}=4[/tex]

Thus, The ratio is 4 between neighboring y-values

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Find the area of a regular hexagon with a 48-inch perimeter.

48√3 in2

96√3 in2

192√3 in2

in2 means inches squared

Answers

[tex]A= \cfrac{3 \sqrt{3} }{2}*a^2 \ \ \ \ [a=sidelength] \\ \\ a=48/6=8 \ in \\ \\ \\ A= \cfrac{3 \sqrt{3} }{2}*(8)^2=A= \cfrac{3 \sqrt{3} }{2}*64=3 \sqrt{3}*32= 96 \sqrt{3} \ \ in^2 [/tex]

Women athletes at the university of colorado, boulder, have a long-term graduation rate of 67% (source: the chronicle of higher education). over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated. does this indicate that the population proportion of women athletes who graduate from the university of colorado, boulder, is not less than 67%? use a 5% level of significance. find the p-value of the test statistic (round to the nearest ten thousandths).

Answers

The solution would be like this for this specific problem:

H0: p = p0, or
H0: p ≥ p0, or
H0: p ≤ p0

find the test statistic z = (pHat - p0) / sqrt(p0 * (1-p0) / n)

where pHat = X / n

The p-value of the test is the area under the normal curve that is in agreement with the alternate hypothesis.
H1: p ≠ p0; p-value is the area in the tails greater than |z|
H1: p < p0; p-value is the area to the left of z
H1: p > p0; p-value is the area to the right of z

Hypothesis equation:

H0: p ≥ 0.67 vs. H1: p < 0.67

The test statistic is:
z = ( 0.5526316 - 0.67 ) / ( √ ( 0.67 * (1 - 0.67 ) / 38 )
z = -1.538681

The p-value = P( Z < z )
= P( Z < -1.538681 )
= 0.0619

A paper popcorn cone measures 4 inches in diameter and is 9 inches high. What is the volume of popcorn that can be contained within this cone? Use 3.14 for pi. Round your answer to the nearest hundredth. 37.68 cubic inches 39.45 cubic inches 40.23 cubic inches 41.90 cubic inches

Answers

The formula for finding volume of a cone is (in this case),
V=(3.14)(r^2)(h/3)

With this formula in mind, you would simply substitute in.
V=(3.14)(2^2)(9/3)

You could work that out for yourself on your own, but to save you the time, it is 37.68 in. cubed.

Hey!

So, we know that the formula to find the volume of a cone is [tex]V=\frac{3.14* r^2h}{3}[/tex]
The radius is half the diameter, so in this case our radius would be 2. Let's plug in the values.
[tex]V=\frac{3.14* 2^2\cdot \:9}{3}[/tex]
Simplify.
[tex]V=12*3.14 [/tex]
The thing we are left with is just a multiplication problem. Let's simplify it. Let's remember to also input the units since we are talking about the volume of a figure.
V≈37.68 in³

Instead of using the equal sign (=), we had to use the approximation sign (≈) since we are using a rounded version of pi ([tex] \pi [/tex])

Thanks!
-TetraFish

A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?

Answers

When a point in quadrant 2 is rotated 180 degrees counterclockwise, it will land in quadrant 4.

A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?

Begin in quadrant 2 (Q2).Rotating 180 degrees counterclockwise leads to the point's final position in quadrant 4 (Q4).

if f(x) = (x+1)^-1 and g(x) = x-2, what is the domain of f(x) divided by g(x)

Answers

f(x)=(x+1)^-1

f(x)=1/(x+1) so

f(x)/g(x) is

1/[(x+1)(x-2)]

Since division by zero approaches infinity, it is not a real value, and is said to be undefined. Division by zero is "not allowed", which just really means that it does not have a real value. So in this case x cannot equal -1 or 2 so the domain is:

All real numbers except -1 or 2...which can be expressed as:

(-oo,-1),(-1,2),(2,+oo)

Factor the polynomial below.

30x^2 + 15x^2 +10x

Answers

5x ( 6x + 3x + 2)

hope this helps

45x^2+10x

hope this helps!

Relations and functions need help please.

Answers

Just substitute the value of x back into the function.

So, [tex]f(x) = -x^2 + 1[/tex] becomes [tex]f(-3) = -(-3)^2 + 1[/tex]

[tex]f(-3) = 3^2 + 1 \\ \\ f(-3) = 9 + 1 \\ \\ f(-3) = 10[/tex]

So, f(-3) is equal to 10.

You're studying different function tools and begin working with this function:
y=-200-12(x)
Use the equation to answer the question:
What is the y-value when x equals -16?

Answers

You fill in -16 for x in the function, and do the calculation:

y = -200 - 12*-16 = -200 + 192 = -8

Answer:

-8

Step-by-step explanation:

Given : [tex]y=-200-12(x)[/tex]

To Find:What is the y-value when x equals -16?

Solution:

We are given that You're studying different function tools and begin working with this function:

[tex]y=-200-12(x)[/tex]

Now we are supposed to find the value of y when x is -16

So, substitute x = -16 in the equation

[tex]y=-200-12(-16)[/tex]

[tex]y=-200+192[/tex]

[tex]y=-8[/tex]

So, Value of y is -8

Hence the y-value when x equals -16 is -8

which of the following could be the equation of the graph shown below

Answers

-4x + 2y = -6
2y = 4x - 6
y = 2x - 3....y int = -3 , x int = (3/2,0)

I believe it is going to be : -4x + 2y = -6

Answer:

-4x+2y+-6 and y=3x-2

Find the sum of the first 15 terms of the series 4+16+64+256+...

Answers

A sum of an geometric sequence is a(1-r^n)/(1-r) where n=15 in this problem and r=4 since each term is being multiplied by 4 to get the next term. a also equals 4 since that is the first number. So now you have 4(1-4^15)/(1-4) which you can type into your calculator. Be sure to use the parenthesis so the calculator will know what is in the numerator and what is in the denominator,

NEED HELP ASAP PLEASE!!!

Answers

The answer is 64 because the height of the original is 8 feet and the base is 4 feet, double both of them and multiply them together you get 128, divide by a half and you get 64

SOMEONE PLEASE HELP!!!!

Which area formula or formulas show(s) a joint variation?
I A=s^2
II A=pir^2
III A=l*w

Select one:
a. III only
b. II and III
c. II only
d. I, II, and III

Answers

Joint variation equation is a situation when the final value varies by two or more variables

Equation 1

A = s²

Here we have only one variable, 's', and the value of Area will only vary when s varies.

Equation 2

A = πr²

Here the only variable is 'r', which is the radius of a circle. The value of Area, A, varies as radius varies. π is a constant.

Equation 3

A = l×w

Here we have to variables, the 'l' and the 'w'.
We can say that the value of Area, A, will vary jointly as l and w vary

The correct answer is option a)

Answer:

Step-by-step explanation:

A delivery truck uses $375 in gasoline during a 3 week period. if the truck is driven 5 days per week, how much is spent on gas each day?

Answers

Final answer:

Approximately $17.86 is spent on gas each day.

Explanation:

To find out how much is spent on gas each day, we need to divide the total amount spent on gas by the number of days in the 3-week period.

First, let's calculate the number of days in 3 weeks. Since there are 7 days in a week, there are 3 × 7 = 21 days in 3 weeks.

Next, we divide the total amount spent on gas, $375, by the number of days: $375 ÷ 21 = $17.86

Therefore, approximately $17.86 is spent on gas each day.

I need help with this problem and a few others

Answers

The answer you chose is correct. Those three values are more than -6.

The triangle JKL shown on the coordinate grid below is reflected once to map onto triangle J'K'L': Triangle JKL is drawn on a 4 quadrant coordinate grid with vertices J is at 8, 1. K is at 5, 7. L is at 3, 4. If vertex L' is at (−3, 4), what are the coordinates of vertex J'?

Answers

If vertex L' is at (−3, 4), what are the coordinates of vertex J'?
(1, −8)
(−8, 1)
(−1, 8)
(8, −1)

Answer:

The vertex J' is at (-8,1).

Step-by-step explanation:

If is given that the triangle JKL reflected once to map onto triangle J'K'L'.

The vertices of the triangle JKL are J(8,1), K(5,7) and L(3,4). The vertex L'(-3,4).

[tex]L(3,4)\rightarrow L'(-3,4)[/tex]

It is in the form of

[tex](x,y)\rightarrow (-x,y)[/tex]

Since the y-coordinate remains same and the sign of x coordinate is changed. It shows the reflection across the y axis.

The vertices of image are,

[tex]K(5,7)\rightarrow K'(-5,7)[/tex]

[tex]J(8,1)\rightarrow J'(-8,1)[/tex]

Therefore the vertex J' is at (-8,1).

The circle shown below has ab and bc as its tangents: ab and bc are two tangents to a circle which intersect outside the circle at a point

b. if the measure of arc ac is 160°, what is the measure of angle abc? 80° 40° 60° 20°

Answers

Tangent lines of a circle are lines that only pass one point on the circle. Since you forgot to include the picture, I illustrated my own as what the problem described it to be.

One of the theorems of circle is that the measure of the intercepted arc is twice as that of its opposite angle. In this case, since the intercepted arc measures 160°, then the measure of angle abc is 160/2 = 80°.

Therefore, the answer is 80°.

Answer:

Answer: 20°

Step-by-step explanation:

help factoring trinomial

Answers

need 2 numbers when added = 5 and when multiplied = -24

answer is D

-3+8 = 5

-3*8 = -24

x^2 + 5x - 24
-24 = (+8) * (-3)
8 - 3 = 5

so
x^2 + 5x - 24 = (x + 8)(x - 3)
answer is
D.(x - 3)(x + 8)

The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units.What is the value of x?

Answers

Answer: 0.25 unit

To answer this question you need to know how to count formula of a rectangle. Area of a rectangle is count by length x width formula. Then if you put the number into the formula it would be:

area = length x width
0.8 square unit= 3.2 unit * x
3.2 x unit = 0.8 square unit
x= 0.8 square unit / 3.2 unit= 0.25 unit

A phone banking password consists of 2 letters followed by 4 digits. The letters B, I, S, and O are not used, and the last digit cannot be 0. How many different passwords are possible?
5,148,000
4,840,000
4,356,000
3,175,524

Answers

The correct answer is C. 4, 356, 000. You can find this by multiplying 22*22*10*10*10*9.

There are 4,356,000 different passwords are possible.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A phone banking password consists of 2 letters followed by 4 digits.

And, The letters B, I, S, and O are not used, and the last digit cannot be 0.

Hence, We can formulate;

Number of different passwords are possible are,

⇒ 22 × 22 × 10× 10 × 10 × 9.

⇒ 4,356,000

Thus, There are 4,356,000 different passwords are possible.

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What are the solutions of the equation z2-12z+36=0

Answers

z^2 - 12z + 36 = 0
(z - 6)(z - 6) = 0

z - 6 = 0
z = 6

solution is : 6,6

a rectangle has sides 2x + 3 and x - 4. what is the perimeter of the rectangle

Answers

Write 2x+3(to the power of 2)+x-4(to the power of 2). Then do the equations and you should get 4x+9+2x+16. Combine like terms and that's your answer. I know it might be weird that it's not like 72 or something, but it's math haha. Your answer should be 6x+25! Make sure you understand this before just writing all of this down. Also, don't be afraid to ask your teacher. They are there to help!

What is the correct way to write 6.3 × 10^8 in standard notation? (25 Points)

Answers

It is the second choice, the first one on the right
hope this helps:)

I think it is .000000063
(7 zeros behind the decimal.)
Hope this helps!!!

Find the probability that 4 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal places.

Answers

Final answer:

The probability that 4 randomly selected people all have the same birthday, ignoring leap years, is 0.00000002 when rounded to eight decimal places.

Explanation:

The problem is asking about the probability that 4 people, selected at random, all have the same birthday. Since we're ignoring leap years, each person can have a birthday on any of 365 days of the year. The probability that the first person has a birthday on any day of the year is 1, because there's no restriction on when their birthday can be. However, the probability that the second, third, and fourth people share this same birthday becomes much less.

Given that we've selected a specific day for the first person, the second person has a 1 in 365 chance (or approximately a 0.00274 chance) of having that same birthday. The same applies for the third and fourth person. Since each of these events is independent (meaning the outcome of the first event doesn't change the probability of the next event), we can find the total probability by multiplying the individual probabilities together: 1 (for the first person) * 0.00274 (for the second person) * 0.00274 (for the third person) * 0.00274 (for the fourth person) = 0.000000020500. To the eight decimal place, this becomes 0.00000002.

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A cylinder is a type of prism.
true
false

Answers

The answer is False a cylinder is not a prism because a cylinder has curved sides

Find the 6th term of a geometric sequence with t1=5 and r = -1/2

-5/8

-5/16

-5/32

-5/64

Answers

In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,

An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.

Substitute the known values to the equation,

An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32

Hence, the answer to this item is the third choice, -5/32.

A movie theater sold 422 tickets on Friday. On Saturday, they sold 518 tickets. What was the approximate percentage that ticket sales increased on Saturday?

Answers

Hi! Ok, first you find the difference between the two amounts. (96) Then, divide that by the original number (422). Then multiply by 100 (move the decimal place 2 places to the right). You get 22.74 % (not rounded).

Hope that helps!

which angles are corresponding angles? check all that aply

Answers

The answer will be:
<1 and <3

You invest $3,756.00 and buy 100 shares of a company's stock. Their value increases by 12%. How much is each share worth?

Answers

($3756/100)(100+12)/100

$37.56(1.12)

$42.0672

$42.07 (to nearest cent)

Answer:

Each share worth is $42.0672 .

Step-by-step explanation:

As given

You invest $3,756.00 and buy 100 shares of a company's stock.

Their value increases by 12%.

12% is written in the decimal form

[tex]= \frac{12}{100}[/tex]

= 0.12

Share value increase = 0.12 × Investment cost

= 0.12 × 3756

= $450.72

Total value of shares becomes after increases of 12% = Share value increase + Investment cost .

Total value of shares becomes after increases of 12% = $3756+ $450.72

= $4206.72

[tex]Each\ shares\ worth = \frac{Total\ value\ of\ shares\ after\ increase\ of\ 12\%}{Number\ of\ shares}[/tex]

[tex]Each\ shares\ worth = \frac{4206.72}{100}[/tex]

Each shares worth = $42.0672

Therefore the each share worth is $42.0672 .

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