Help asap please!!!!
Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (His heads and Tis talls). Complete the table and the sentence beneath it. Die 1 2 3 4 5 6 heads H-1 H-2 H-3 H-5 H-6 Coin tails T-1 T-3 T-4 T-5 The size of the sample space is​

To determine the left end behavior of any polynomial function we look at the leading term.

The general form of any polynomial function is represented as

f(x) = aₙxⁿ + .... + a₂x² + a₁x + a₀

where the expression aₙxⁿ is the leading term, xⁿ is the degree and aₙ is the leading coefficient of the polynomial.

Since in a polynomial function the power of the leading term is the highest value so the nature of the graph whether it will be rising or not will be determined by the leading term. Thus we can say that for any given polynomial the end behavior will be determined by the end behavior of the leading coefficient and degree of the polynomial.

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Answer:

(-2, 3)

Step-by-step explanation:

Answer:

1/20 of the soda

9514 1404 393

Answer:

  115 square units

Step-by-step explanation:

The area of a parallelogram is the product of base length and height. The height is the perpendicular distance between the bases.

  A = bh

  A = (23)(5) = 115 . . . . square units

The area outside the curve r = 3 + 2 cos e and inside the curve r = 3 - 3 cos e is 0. The area outside the curve r = 3 + 2 cos e and inside the curve r = 3 - 3 cos e can be found using the formula for the area enclosed by two polar curves: `A = 1/2 ∫[a,b] |r₁(θ)² - r₂(θ)²| dθ`.

Here, `r₁(θ) = 3 + 2 cos θ` and `r₂(θ) = 3 - 3 cos θ`.

Thus, we have to calculate the integral of `| (3 + 2 cos e)² - (3 - 3 cos e)² |` in the limits `0` and `2π`.

We will find the integral of `| (3 + 2 cos e)² - (3 - 3 cos e)² |` separately between the limits `0` and `π`, and `π` and `2π`.∫[0,π] | (3 + 2 cos e)² - (3 - 3 cos e)² | de

= ∫[0,π] | 12 cos e - 6 | de

= ∫[0,π] 12 cos e - 6 de

= [ 12 sin e - 6e ] [0,π]= 12 + 6π

Similarly, ∫[π,2π] | (3 + 2 cos e)² - (3 - 3 cos e)² | de

= ∫[π,2π] | 12 cos e + 6 | de

= ∫[π,2π] 12 cos e + 6 de

= [ 12 sin e + 6e ] [π,2π]

= -12 - 6π

Thus, the total area is `A = 1/2 ∫[0,π] |r₁(θ)² - r₂(θ)²| dθ + 1/2 ∫[π,2π] |r₁(θ)² - r₂(θ)²| dθ= 1/2 (12 + 6π - 12 - 6π)= 0`.

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The volume of the pyramid is 34, 300,000 ft³.

The pyramid of the sun in Teotihuacan, Mexico measures about 700 feet on each side of its square base and is about 210 feet high.

Therefore, the volume of the pyramid can be calculated as follows:

volume of the pyramid = 1 / 3 Bh

where

Therefore,

B = 700² = 490,000

volume of the pyramid = 1 / 3 × 490,000 × 210

volume of the pyramid =  102900000 / 3

volume of the pyramid = 34, 300,000 ft³

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The annual maintenance collected in 2014 will be $1,750,000.

To calculate the annual maintenance collected in 2014, we need to find the number of customers who will renew their maintenance contract and the number of customers who will pay for maintenance as a percentage of product sales in 2013.

Number of customers renewing maintenance in 2014 = 80% of $2,000,000 = $1,600,000

Number of customers paying for maintenance in 2014 = 75% of $2,000,000 = $1,500,000

So, the total annual maintenance collected in 2014 will be:

$1,600,000 + $1,500,000*10% = $1,750,000

Therefore, the annual maintenance collected in 2014 will be $1,750,000.

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The probability of getting blue and an odd number will be 1/10.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

The probability of getting blue is 2/10 and the probability of getting odd number is 5/10.

Therefore, the probability of getting blue and an odd number will be:

= 2/10 × 5/10

= 1/10.

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The x- coordinate of the vertex P is  -4  and the y coordinate is -3. The coordinates of the image of vertex P is thus,  (-4, -3).

Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.

The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.

For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).

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According to the information, the angles of this triangle are: 90°, 60° and 30°.

To measure the angles of a triangle we must use a tool called a protractor. This ruler is circular in shape and has from 0° to 360°.

To measure an angle with this ruler we must locate the line that corresponds to 0° on one of the vertices, then we must identify which measure the other vertex passes through and that will be the value of that angle.

According to the previous procedure, if we analyze the angles of these figures with a protractor, we can infer that it has 90°, 60° and 30°.

Note: This question does not have the image. Below is the image:

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Given the zeros:

• -1 with a multiplicity of 2

• -3

• -5

Let's find the equation of the polynomial.

Using the given zeros, we have the following:

x = -1, x = -1, x = -3, x = -5

Now, rewrite each zero as a factor:

Now, we have the equation:

Let's expand the equation usng the FOIL method and distributive property:

Solving further:

Combine like terms:

Now, apply FOIL method and distributive property once more:

Therefore, the equation of a polynomial with the given zeros is:

• ANSWER: C

Answer:

x=29.4

Step-by-step explanation:

To help find the sides of a triangle, I use SOHCAHTOA.

SOH - CAH - TOA

S=O/H (\(Sine=\frac{opposite}{hypotenuse}\) )

C=A/H (\(Cosine=\frac{adjacent}{hypotenuse}\) )

T=O/A (\(Tangent =\frac{opposite}{adjacent}\) )

Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.

So it would be tangent (tan).

opposite = 17

adjacent = 30°

Plug these numbers into the calculator and you should get your answer.

\(\frac{17}{tan(30)} = 29.44486372...\)

x=29.4

Try to do y on your own and let me know if you have any questions!

Also correct me if I'm wrong on anything.

Hope this information helps!

Answer:

what's the ratio?

Step-by-step explanation:

Answer:

whats the ratio

Step-by-step explanation:

Answer:

equal because by adding them u get equal numbers 36 and Bob aquarium is high while Terry aquarium is long and wide.

Answer:

An equilateral triangle with a perimeter = 30 has each side = 10.

The height of an equilateral triangle = side * sqr root (3) / 2 =

10 * 1.7320508076 / 2 = 17.320508076 / 2 = .866025...

http://www.1728.org/triang.htm

Step-by-step explanation:

An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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Answer:

45

Step-by-step explanation:

1/4 of a number means the number divided by 4. 60/4=15. That's how much she spent, and we have to find the rest. So we do 60-15=45.

Answer:

ead the excerpt from "The Most Dangerous Game,” by Richard Connell.

His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.

Which analysis best explains the effect of adding the female character

Step-by-step explanation:

Answer:

s/5

Step-by-step explanation:

its s/5 because the letter is always on top and yea..

Answer:

3,7

Step-by-step explanation:

Answer:

(3, 7 )

Step-by-step explanation:

Given

1 < x - 2 < 5 ← add 2 to each interval

3 < x < 7

Since x cannot equal 3 or 7 then use parenthesis for limits, that is

solution is (3, 7)

The probability that at least one of the test score is more than 1070 is approximately 0.9766 when 4 test scores are selected at random.

Given that the scores X on a college entrance examination are normally distributed with a mean of 1000 and a standard deviation of 100.

The formula for z-score is given as: z = (X - µ) / σ

Where X = the value of the variable, µ = the mean, and σ = the standard deviation.

Therefore, for a given X value, the corresponding z-score can be calculated as z = (X - µ) / σ = (1070 - 1000) / 100 = 0.7

Now, we need to find the probability that at least one of the test score is more than 1070 which can be calculated using the complement of the probability that none of the scores are more than 1070.

Let P(A) be the probability that none of the scores are more than 1070, then P(A') = 1 - P(A) is the probability that at least one of the test score is more than 1070.The probability that a single test score is not more than 1070 can be calculated as follows:P(X ≤ 1070) = P(Z ≤ (1070 - 1000) / 100) = P(Z ≤ 0.7) = 0.7580

Hence, the probability that a single test score is more than 1070 is:P(X > 1070) = 1 - P(X ≤ 1070) = 1 - 0.7580 = 0.2420

Therefore, the probability that at least one of the test score is more than 1070 can be calculated as:P(A') = 1 - P(A) = 1 - (0.2420)⁴ = 1 - 0.0234 ≈ 0.9766

Hence, the probability that at least one of the test score is more than 1070 is approximately 0.9766 when 4 test scores are selected at random.

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Answer:

x would be 7

Step-by-step explanation:

2x7 = 14

14-3=11!

Hope I could help!

Brainlist??

Answer:

thx

Step-by-step explanation:

Based on the comparison, the client should choose the cash loan option, as the amount to be repaid is significantly lower compared to the gold loan option.

To determine which alternative the client should choose, we need to compare the costs associated with the cash loan and the gold loan.

For the cash loan:

Principal (P) = $50,000,000

Interest Rate (r) = 7% per annum (annual compounding)

Time (t) = 1 year

Using the formula for compound interest, the amount to be repaid (A) can be calculated as:

A = P * (1 + r)^t

A = $50,000,000 * (1 + 0.07)^1

A = $53,500,000

The client would need to repay $53,500,000 in cash.

For the gold loan:

Principal (P) = $50,000,000

Interest Rate (r) = 1.15% per annum (annual compounding)

Time (t) = 1 year

The amount to be repaid in gold can be calculated as:

A = P * (1 + r)^t

A = $50,000,000 * (1 + 0.0115)^1

A = $50,575,000

Since the amount to be repaid in gold is in terms of ounces, we need to convert it to cash using the price of gold. Assuming the price of gold is $1000 per ounce, the amount to be repaid in cash is:

Cash Amount = $50,575,000 * $1000

Cash Amount = $50,575,000,000

Now we compare the cash amounts for both loans:

Cash Loan Amount = $53,500,000

Gold Loan Amount = $50,575,000,000

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Answer:

2(x+16)

Step-by-step explanation:

it says product of 2 means 2 times

then it says sum of x and 16 so thy are asking for the sum of x and 16 then multiplied by 2

so the ans is 2(x+16)

Answer:

37

Step-by-step explanation:

Well, if both numbers add up to or equal to 74 it would only make sense it is 74. Hence, 37+37 equal 74 and there is only 2 numbers and both those numbers is 74.

A line will have a positive slope if it makes an acute angle with a positive x-axis while if it makes an obtuse then the slope will be negative thus point (x₁,y₁) can be (2,5) and (x₂,y₂) could be (-7,5).

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

A line will have a positive slope if it makes an acute angle with a positive x-axis while if it makes an obtuse then the slope will be negative.

As shown below,

The purple line makes an acute angle (less than 90 °) thus slope will be positive and the blue line makes an obtuse angle (greater than 90°) thus the slope is negative.

Hence "point (x₁,y₁) can be (2,5) and (x₂,y₂) could be (-7,5)".

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Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Answer:

Domain: number of copies produced = {0, 1, 2, 3, ... , 100}

Image: cost of publishing copies = {600, 610, 620, 630, ... , 1,600}

Step-by-step explanation:

The original question is regarding the domain and image of the cost ('c') function.

The function is:

\(c=10n+600\)

The domain of the function is the number of copies produced, which encompasses all natural numbers from 0 to 100 copies.

The image of the function is the cost of publishing those copies, which starts at c = 600 (when n = 0 copies), and increases by 10 per copy until c = 1,600 (when n= 100 copies).

The domain is {0, 1, 2, 3, ... , 100}

The image is {600, 610, 620, 630, ... , 1,600}

To find the interval of convergence and radius of convergence for the power series sigma^[infinity]_n=1 ((−1)^n x^n/n), we will use the ratio test.

Ratio test: Let the series sigma^[infinity]_n=1 a_n be a power series centered at x = c. Then, the radius of convergence is given by R = lim_n→∞ |a_n/a_n+1|, if the limit exists.

First, we apply the ratio test:

|(-1)^(n+1) * x^(n+1)/(n+1)| / |(-1)^n * x^n/n|

= |x/(n+1)|

Taking the limit as n → ∞, we get

lim_n→∞ |x/(n+1)| = 0

Therefore, the radius of convergence is R = ∞.

Next, we need to find the interval of convergence. Since R = ∞, the series converges for all x. Thus, the interval of convergence is

I = (-∞, ∞).

Therefore,

I = (-∞, ∞)
R = ∞
To find the interval of convergence (I) and radius of convergence (R) for the given power series, we can use the Ratio Test. The power series is:

Σ(−1)^n * (x^n / n) from n=1 to infinity.

Applying the Ratio Test:

lim (n→∞) |(a_(n+1)) / a_n| = lim (n→∞) |((-1)^(n+1) * x^(n+1) / (n+1)) / ((-1)^n * x^n / n)|

After simplification:

lim (n→∞) |n * x / (n+1)|

Since the (-1) terms cancel out, we are left with:

lim (n→∞) |n / (n+1) * x|

As n approaches infinity, the limit becomes 1, and thus:

|x| < 1

This gives us the interval of convergence (I):

I = (-1, 1)

For the radius of convergence (R), since |x| < 1:

R = 1

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