Jim is entering kennywood with 5 of his friends. At the gate they must go through a turnstile one at a time. How many ways can Jim and his friends go through the turnstile

Answer:

similar; RYL by SAS similarity

Step-by-step explanation:

Side RL Is congruent to side RH and side RY is congruent to side RA by a scale factor of 3.5. and we know thank angles LRY and HRA are congruent by the reflexive property. So the two triangles are congruent by Side-Angle-Side similarity.

The overall ratio of A + T/G + C in the complementary strand is 0.5.

This is because the bases A and T, and G and C, always pair together in DNA. Therefore, if one strand of DNA has a ratio of 0.5 for A + T/G + C, the complementary strand will also have the same ratio.
To further explain, let's look at the individual bases. If A + T = 0.5, this means that the ratio of A to T is 1:1. Similarly, if G + C = 0.5, this means that the ratio of G to C is also 1:1. Since A always pairs with T, and G always pairs with C, the complementary strand will also have a 1:1 ratio for these bases. Therefore, the overall ratio of A + T/G + C in the complementary strand will also be 0.5.

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The equation of an exponential function is y = a(b^x)

An exponential function is a mathematical function that has a constant base raised to a variable exponent.  Exponential functions are used to model processes that exhibit exponential growth or decay, such as population growth, radioactive decay, or the spread of infectious diseases.

The general form of an exponential function is:

f(x) = ab^x

where a is the initial value, b is the base, and x is the variable exponent. If the base is greater than 1, the function will exhibit exponential growth, while if the base is between 0 and 1, the function will exhibit exponential decay.

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CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.

Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.

Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.

Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.

Therefore, the largest angle of an obtuse triangle is opposite the longest side.

Step 4: In triangle ABC, A=103°, a=25, and c=30.

a² = b² + c² - 2bccos(A),

a² = b² + 900 - 900 cos(103),

a² = b² + 900 + 900 cos(77),

a² > b² + 900, so a > b.

Similarly, a² > c² + 900, so a > c.

Therefore, triangle ABC satisfies a>b and a>c.

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For the function g(x) we have:

The function g(x) is given by applying transformations to f(x), the transformations are:

The function is:

\(g(x) = -(x + 2)^2 + 5\)

The graph is the one you can see below:

There you can see that the vertex is at (-2, 5), then the line of symmetry is:

x = -2.

And we have a maximum at the vertex, which is y = 5.

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Answer:

10x

Step-by-step explanation:

Answer: The slop is -2 and the y-intercept is (0,4/5)

Step-by-step explanation:

Here is the graph, I hope this helps, have a great school day! :D

The probability that the T-shirt John picks is dark blue is 2/3.

To find the probability that John picks a dark blue T-shirt, we'll need to consider the total number of blue T-shirts and the number of dark blue T-shirts.
Determine the total number of blue T-shirts.
John has 2 dark blue and 1 light blue T-shirt, so he has a total of 2 + 1 = 3 blue T-shirts.
Determine the number of dark blue T-shirts.
John has 2 dark blue T-shirts.
Calculate the probability.
The probability that John picks a dark blue T-shirt is the number of dark blue T-shirts divided by the total number of blue T-shirts.
Probability = (Number of dark blue T-shirts) / (Total number of blue T-shirts) = 2 / 3.

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Answer:

5-3x=7

Step-by-step explanation:

Based on the truth table constructed above, since they are not the same. Then the two sattements are not equivalent.

The greatest height of the football is 40 feet.

To find the greatest height of the football, we need to find the maximum value of the function h(t) = -16t^(2)+80t.

One way to do this is to find the vertex of the parabola defined by the function. The vertex of a parabola is the point on the parabola that is the highest point if the parabola opens upwards, or the lowest point if the parabola opens downwards.

The vertex of a parabola with equation y = ax^(2) + bx + c can be found using the formula: Vertex: (-b/2a, c - b^(2)/4a)

Plugging in the values from the given function, we get: Vertex: (-80/(-32), -16*(-80/(-32))^(2) + 80*(-80/(-32)) + 0)

Simplifying this gives us: Vertex: (5, 40)

So the greatest height of the football is 40 feet.

Alternatively, you can find the maximum value of the function by completing the square. To do this, rewrite the function as:

h(t) = -16(t^(2) - 5t)

This is a quadratic function in the form y = a(x - h)^(2) + k, where the vertex is at (h, k). In this case, the vertex is at (5, 40).

Therefore, greatest height of the football is 40 feet.

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Answer:

3 years.

6÷ .5= 3

edit:

brain fart! sorry!

12 years.

...........

Answer:

12 years

Step-by-step explanation:

if its 1/2 an inch every year that 1 inch every 2 years so six inches will take her 12 years

Answer:

441km

Step-by-step explanation:

hope this works :)

Answer:

It usually has 1 solution, but sometimes it can have zero

Step-by-step explanation:

The answer is 3/a, have a nice day

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

G is cheapest at $815.15

Step-by-step explanation:

F-cost is 915

g cost is 85% (100-15=85%) so .85 x 959=815.15

h 1000-100=900

j 925-20=905.

Explanation

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair, let's check x=2

we have

2 is associated with two values from the set of second components(0 and 5), then

this is not a funcion of x

I hope this helps you

Answer:-22/3

Step-by-step explanation:

its negative because it represents an irrational number

Answer: -22/3

Why: It's irrational since it's negative

The amount accumulated after investing a principal P for t years at an interest rate compounded annually is  $46,057.58.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

p = 15,500

r = 9.5%

t = 12

n = 1

\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)

A = 15,500.00(1 + 0.095)¹²

A = $46,057.58

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$46,057.58, answer for acellus

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

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Answer:

Step-by-step explanation:

12.8/2 = 96 / 2 = 48

the answer is the first one

Step-by-step explanation:

\( {a}^{2} = {8}^{2} + {5}^{2} \\ {a }^{2} = 64 + 25 \\ {a}^{2} = 89 \\ a = \sqrt{89} = 9.4 \: cm\)

\( {17}^{2} = {12}^{2} + {b}^{2} \\ {b}^{2} = {17}^{2} - {12}^{2} \\ {b}^{2} = 289 - 144 \\ {b}^{2} = 145 \\ b = 12 \: cm\)

Answer:

It is skewed right

Step-by-step explanation:

Answer: looks pretty bell shaped to me

Step-by-step explanation:

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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True, a half step is the shortest distance that can exist between two pitch-sounding frequencies. In Western musical notation, a half step is thought to be the shortest interval, or space between two notes.

The smallest musical interval typically utilized in Western tonal music is a semitone, sometimes known as a half step or a half tone. It is described as the space in a 12-tone scale between two neighbouring notes. For instance, there is a semitone's distance between C and C. Any interval in a 12-note scale that is almost evenly divided into semitones can be described in terms of the proper number of semitones, for example, a whole tone or major second is two semitones wide, a major third is four semitones wide, and a perfect fifth is seven semitones wide.

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Answer:

The correct answer to this question is 2x = 45

Step-by-step explanation:

If you take 5 and multiply it by 9 you get 45. Therefore, 2x = 45 is the correct answer. (Also I know its right because I did the assignment and got this one right) Hope this helps :-)

Answer: you can correctly find this by multiplying the length times width, the answer is 16

Step-by-stepexplanation:length times width is 16. Please mark brainliest

Answer:

ABC

Step-by-step explanation:

I am pretty sure

Answer:

I think this is an acute angle

Step-by-step explanation:

Rolle's Theorem states that if a function f(x) is continuous on a closed interval [a,b] and differentiable on the open interval (a,b), and if f(a) = f(b), then there exists at least one point c in (a,b) where f'(c) = 0.

In this case, the given function is f(x) = -2x² - 12x + 7 over the interval [-6,0]. To find all values of c in this interval where f'(x) = 0, we first need to find the derivative of f(x):

f'(x) = -4x - 12

Now, we need to solve for x when f'(x) = 0:

-4x - 12 = 0
-4x = 12
x = -3

Therefore, the only value of c in the interval [-6,0] where f'(x) = 0 is -3.

Answer: c = -3.  

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The component form of the vectors shown is (-6, -5)

In order to determine the component of the vectors shown, we will subtract the coordinate points from both each other.

Given the vector coordinates on the line. as (-5, -3) and (1, 2). Take the difference;

Difference = [(-5-1), (-3-2])

Difference = (-6, -5)

Hence the  component form of the vectors shown is (-6, -5)

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