Which trigonometric function is equivalent to sec(-270) ?

Answer:hello

Step-by-step explanation:

The statement that identifies and explains lim x f(x) is "The limit lim f(x) does not exist because there is oscillating behavior around x = 0."In general, a function f(x) has a limit at x = c if and only if the function approaches the same value L no matter what direction x comes from.

A limit can be determined by evaluating the function at x values very close to c, either from the right or from the left. If both the left-hand and right-hand limits exist and are equal, then the function has a limit at x = c. However, if the left-hand and right-hand limits do not exist or are not equal, then the function does not have a limit at x = c.In this case, the statement "The limit lim f(x) does not exist because there is oscillating behavior around x = 0" identifies and explains lim x f(x).

This is because the graph has oscillating behavior as x approaches 0, and the left-hand and right-hand limits do not exist or are not equal.

Therefore, lim x f(x) does not exist.

The other statements are not correct because they do not accurately describe the behavior of the function near x = 0.

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Answer:

80

Step-by-step explanation:

Reverse it too, 8 divided by 1/10, which is 80.

Answer:

I believe the answer is 12.1km/per hour

Answer:

x = 5

Step-by-step explanation:

I'm going to assume that this is asking you to graph in Slope-Intercept form, but if I am mistaken, comment on my answer and I will happily change it.

Slope-Intercept form:

y = mx + b

You leave y and x as variables, while m and b are to be substituted for slope and y-intercept. y-intercept is when x=0, where a point on a line is on the y axis.

To help you learn, for example, we have an equation is slope-intercept form:

y = 8x + 3

In this case, the slope is 8 and the y intercept is 3 as m is the slope and b is the y-intercept.

The slope is the steepness of the graph. The value of the slope is how much the y-value increases if the x-value increases by 1.

We can find the slope from 2 points using this formula:

\(\frac{y_2 - y_1}{x_2 - x_1}\)

So, we plug in our points into the formula.

\(\frac{-2-3}{5-5}\)

Simplify.

\(\frac{-5}{0}\)

Anything divided by 0 is undefined. This means the line we are graphing is completely vertical, known as undefined. We can only get this if the x value stays the same no matter what. In this case, the x value stays the same when the y value changes, meaning a undefined slope.

We have a special case here. If the slope is undefined, we do not use y = mx+b. Instead, we use:

x = what the x values of the 2 points are

x values of both points: 5

x = 5

Answer:

the slope is 2, I hope it helps!

Answer:

She runs 0.1714 miles per minute.

Step-by-step explanation:

Proportions:

6 miles ⇒ 35 minutes

A miles ⇒ 1 minute

A = 6 miles * 1 minute / 35 minutes

A = 0.1714 miles per minute

The foot and orientation of the normal vector of this plane whose ray would cross (1,1,1) is (0,1,1) and 2.

Given:

we have three points:

Q(1,0,0),

R(0,1,0),

and S(0,0,1)

when the plane passes through Q,R, and S, then the vectors

QR = (-1,1,0) and QS = (-1,0,1)

lie in the plane. Thus the cross-product

n = I i  j  k  I

      -1 1 0

      -1 0 1 I

= i + j + k is normal to the plane.

If r=⟨x,y,z⟩ determines an arbitrary point P in the plane, the vector

v = QP = ⟨x-1,y−0,z−0⟩

ray = (1,1,1)

v = QP = (1-1, 1-0, 1-0)

= (0,1,1)

lies in the plane and so is perpendicular to n. In this case,

n⋅v = 1(0)+1(1)+1(1)

= 0+1+1

= 2

Hence the foot and orientation f the normal vector of this plane is (0,1,1) and 2.

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Answer:

There's no picture attached

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

if three or more parallel lines are intersected by two or more transversals, the parallel lines divide the transversals proportionally , that is

\(\frac{3}{x}\) = \(\frac{2.5}{7.5}\) = \(\frac{1}{3}\) ( cross- multiply )

x = 3 × 3 = 9

Answer:

3

Step-by-step explanation:

Interest = R% / year

(R% x $500) x 12 years = $180

(R% x $500) = $180 / 12

(R% x $500) = $15

Barbara get $15 interest per year. Now calculate the rate

R = ($15 x 100) / $500 = 3

3% of $500 is $15

Answer:

Protein structure and function are governed by the exact types and order of amino acids. The arrangement of glucose molecules in starch determines both its structure and its purpose. The particular nucleotide sequence governs the structure and functionality of nucleic acids, such as DNA and RNA. Contrarily, the arrangement of fatty acid chains and other components determines lipids rather than the order of amino acids directly.

The amount in the account upon your 18th birthday is $2 (rounded to the nearest dollar).

The amount in the account upon your 18th birthday is $1,

we need to find the deposit amount made by your grandmother and how much interest was earned.

Let's assume that the interest rate is 100% per annum.T

he formula for simple interest is given as;I = PRT

Where,

I is the interest earned

P is the principal amount

R is the interest rate

T is the time in years.

Substituting the given values in the formula, we get;

1 = P * 100/100 * T1

 = PT

1/P = T

So, the time is equal to the principal amount.

In the given scenario, the time is equal to 1 year and the principal amount is the deposit amount made by your grandmother.

Therefore, the deposit amount made by your grandmother is equal to $1.According to the question, the amount in the account immediately after your grandmother makes the deposit is equal to $1.

So, the total amount in the account upon your 18th birthday = Principal amount + Interest earned= 1 + 1 = $2

Hence, the required answer is $2.

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Complete Question:

Your grandmother has been putting $1000 into a savings account on every birthday since your first (that is, when you turned one). The account pays an interest rate of 3%. How much money will be in the account immediately after your grandmother makes the deposit on your 18th birthday?

Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

270kg!

Step-by-step explanation:

The given code snippet demonstrates the usage of a stack data structure. After performing a series of push and pop operations on the stack, the value of the variable "value" is printed using the cout statement.

In line 1, the value 11 is pushed onto the stack using the push() function. Then, in line 2, the value 5 is pushed onto the stack. Next, in line 3, the value 12 is pushed onto the stack.

In line 4, the pop() function is used to remove the top element from the stack, and its value is stored in the variable "value". Thus, after line 4, the value of "value" would be 12.

In line 5, the value 3 is pushed onto the stack. Then, in line 6, another pop() operation is performed, and the top element (which is 3) is removed from the stack and stored in the variable "value".

Finally, in line 7, the value of "value" is printed using the cout statement, and it would output 3.

Overall, the code snippet demonstrates a sequence of push and pop operations on a stack, and the final output is the value of the top element after the second pop operation, which is 3.

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Answer:

1.2w = 16.2

Step-by-step explanation:

Add both sides of the equation by 3.8

The mass of a 2018 Olympic gold medal in hectograms is 58.6 hg.

First, we need to know the mass of the Olympic gold medal in grams. According to the question, the mass of an Olympic gold medal is 586 grams.

To convert grams to hectograms, we need to divide the mass in grams by 100. This is because there are 100 grams in 1 hectogram.

To do the division, we can use a calculator. Dividing 586 by 100 gives us 5.86.

The answer we get is in hectograms, so we can write it as 5.86 hg. This means that the mass of a 2018 Olympic gold medal is 5.86 hectograms.

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Answer:

30

Step-by-step explanation:

Use the binomial theorem:

\(\left(\dfrac13a^2-2b\right)^6=\displaystyle\sum_{k=0}^6\binom6k\left(\dfrac13a^2\right)^{6-k}(-2b)^k=\sum_{k=0}^6\binom6k\dfrac{(-6)^k}{729}a^{12-2k}b^k\)

where

\(\dbinom nk=\dfrac{n!}{k!(n-k)!}\)

is the binomial coefficient.

We get the a⁴ b⁴ term when k = 4, which gives the coefficient

\(\dbinom64\dfrac{(-6)^4}{729}=\boxed{\dfrac{80}3}\)

Answer:

If you are looking at a graph then yes it will have a y-axis

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

A horizontal line goes on infinitely on both ends will eventually cross the y-axis, making a y-intercept.

The approximate length of the midsegment parallel to xy is 6.63

The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and has the same length as each of the two sides.

To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of its endpoints.

Since the question stated that the midsegment is parallel to xy, we need to find midpoint of xw and yw.

First, let's find the midpoint of side xw:

Midpoint of xw : ((-14+10)/2, (20+4)/2) = (-2, 12)

Midpoint of yw : ((-14-2)/2, (20-4)/2) = (-8, 8 )

The length of a line segment between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be calculated using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Length line of midpoint xw and midpoint yw :

√((-2-(-8))^2 + (12-(8))^2) = √(6^2 + 4^2) = √(36 + 8) = √44

So, the length of the midsegment is parallel to XY, which is approximately equal to √44 = 6.63

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The matching for different kinds of telescopes is shown. (Refer to the matching shown below.)

A telescope is a tool used to view distant objects through the electromagnetic radiation that they emit, absorb, or reflect.

The term "telescope" now refers to a broad range of instruments capable of detecting different regions of the electromagnetic spectrum, and in some cases, other types of detectors, in addition to the original meaning of the word, which was only an optical instrument using lenses, curved mirrors, or a combination of both, to observe distant objects.

Refracting telescopes with glass lenses were the first practical telescopes ever made, and they were developed in the Netherlands at the start of the 17th century.

The matching according to the question:

Reflecting Telescopes: The Hubble Space Telescope, the largest telescope in the world, is currently the one most frequently used by professional astronomers.

Refracting Telescopes: In Galileo's telescopes, very large telescopes become "top-heavy," incoming light travels through glass, and the largest reflecting telescope in the world has a diameter of one meter.

Therefore, the matching for different kinds of telescopes is shown.

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Answer:

Below

Step-by-step explanation:

The plane's distance is the hypotenuse of a right triangle with legs of

(50 -20)mi = 30 miles     and     30500 - 18000 = 12500 ft

                             for consistent units  12500ft/5280ft/mile = 2.36742 miles

Now just use Pythagorean theorem

Hypotenuse^2 = leg1^2 + leg2^2

               h^2    = 30^2 + 2.36742^2

                   h = ~ miles 30.093 miles  ( note that the vertical descent distance does not matter much)

    (this is 158 892 feet)

Answer:

pit it on -4 because your reflecting it on x

Step-by-step explanation:

if x+2 is a factor then

replace by -2 and equate expression to 0

we get

3(-2)^3 - 2×-2 +k=0

24+4+k=0

k = -28

hope it is correct

The continuous random variable `X` with density function `f(x) = x^-3`.

To find a continuous random variable X which has finite expectation but infinite variance, we consider the density function `f(x) = x^-α` for an appropriate value `x > 0`.

Thus, we can let `α > 2` such that the expectation `E(X)` exists but the variance `Var(X)` does not exist because `E(X^2) = ∫x^2 f(x) dx = ∫x^2 x^-α dx = ∫x^(-α + 2) dx = (1/(2 - α)) * x^(2 - α)`, which is not finite since `α > 2`.

Therefore, we can let the density function of X be `f(x) = x^-3` for `x > 0`. This function is a valid density function because it is positive for all `x > 0` and the integral of `f(x)` over its support is equal to `1`: `∫x>0 x^-3 dx = [(-1/2)x^-2]_0^∞ = 1/0 + 1/∞ = 1/0 + 0 = 1`.

The expectation of `X` is `E(X) = ∫x>0 x*f(x) dx = ∫x>0 x*(x^-3) dx = ∫x>0 x^-2 dx = [(-1/x)]_0^∞ = 0 - (-1/0) = ∞`.

Thus, the continuous random variable `X` with density function `f(x) = x^-3` has finite expectation but infinite variance.

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