Question 9 of 12 < View Policies Current Attempt in Progress Solve the given triangle. a= 21, b = 20, c = 29 Round your answers to the nearest integer. Enter NA in each answer area if the triangle doe

Answer:

6x + 3

Step-by-step explanation:

3(2x + 1)

=3*2x + 3*1

=6x + 3

Here the parameters, p =0.489 and n=15, and the probability of winning more than 8 times is  0.17946

while you playing an arcade game, there are two possible outcomes: win or lose, which is related to the binomial distribution, such as :

P= \(C_{n,k}\) \(p^{n}\) \(q^{n-k}\)

where C is the  combination, p is the probability of success and the q is the complement of the p (q=1-p) .Here we are given that the probability of winning an arcade game is 0.489 and  the probability of losing is 0.511.  So p=  0.489, since the number of the trial are 15, we need to  find the probability for more  than 8 times, which means

P(X>8)= P(X=9)+P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)              P(X>8)=P(X>=8)- P(X=8)  

           = 0.34328- 0.16382  

            =0.17946

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Answer:

i believe the answer is c

Step-by-step explanation:

i'm not entirely sure but i hope this helps :)

have a nice day !!

**please let me know if this was wrong**

Answer:

B & C

Step-by-step explanation:

you have to solve for x in both a negative and positive way

Answer:

C and D are the most accurate/correct answers

Step-by-step explanation:

C. Vertex (x,y). The vertex is right in the middle of the quadratic graph.

Therefore, the equation of the tangent line to the graph of y = g(x) at x = 4 is y = 3x - 17.

To find the equation of the tangent line to the graph of

y = g(x) at x = 4 if g(4) = -5 and g'(4) = 3, the first step is to use the point-slope formula.

Recall that the point-slope formula is given by the formula,

y - y1 = m(x - x1)

where m is the slope of the tangent line, and (x1, y1) is the point of tangency.

Since the point of tangency is (4, -5) and g'(4) = 3,

we can write the equation of the tangent line as follows:

y - (-5) = 3(x - 4)

Expanding the right side and simplifying, we get:

y + 5 = 3x - 12

Subtracting 5 from both sides, we have:

y = 3x - 17

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Answer:

x = 3 for the point of intersection of these two lines

Step-by-step explanation:

Please, label these functions:  y = 2x + 3 and y = 4x - 3.

Solve this system by equating the left function to the right one:

2x + 3 = 4x - 3

Combining like terms results in:

6 = 2x

Therefore, x = 3 for the point of intersection of these two lines.

Answer:

Your expression would be 150(11)=x

The answer to this expression would be 1,650. Producing the equation 150(11)= 1,650

Step-by-step explanation:

Your equation is 150(11)=x because; the hot air balloon owner charges $150 per ride. And there are 11 rides. So our equation is solely saying $150 charged per ride for 11 rides.

Let's solve this equation

150(11)= 1,650

So, we would multiply 150 by 11 to get 1,650.

And if your professor asks a statement for your equation you would say; The total income for the balloon owner that weekend is $1,650. $900 made on Saturday plus $750 made on Sunday.

, Hope this helps :)

Have a great day!!

If the larger number is x, and the smaller one is y, then what we have is;

Therefore, the numbers are 7 and 1

Use the formula shown:

6^2 + 2.5^ = c^2

36 + 6.25 = c^2

42.25 = c^2

Take the square root of both sides:

c = 13/2 as a fraction or 2.5495 as a decimal (round off as needed)

The probability that a particular bulb will last from 1767 to 2579 hours is 2.7827

The term average in math is referred as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Here we have given that suppose that a brand of lightbulb lasts on average 1792 hours with a standard deviation of 283 hours. assume the life of the lightbulb is normally distributed and we need to find the  probability that a particular bulb will last from 1767 to 2579 hours.

According to the given problem, we know that the value of the following are defined as follows:

Average = 1792

Standard deviation = 283

Now, based on the z score concept, the value of the required probability is calculated as,

=> z = (x-mean)/ sd

=> z lower = (1792 - 2579)/283 = - 2.7810

=> z upper = (1792 - 1797)/283 = -0.0017

Therefore, the probability is calculated as,

=> z upper - z lower

=> -0.0017 - (-2.7810)

=> 2.7827

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Answer:

4-(2x+5) = 1/2(-4x-2)

4-2x-5=-2x-1

-1-2x-=-2x-1

Infinite solution

Step-by-step explanation:

Branliest pls

The range of the values are 8.3<x< 8.38

The given figure is an isosceles triangle, with none of its side equal.

Using the Pythagorean theorem, we have

\( {x}^{2} = \sqrt{ {8}^{2} } + \sqrt{ {2.5}^{2} } \)

\( x = \sqrt{70.25} \)

\(x = 8.38\)

Thus, the range of the values are 8.3<x< 8.38

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The BSA or Body surface area can be calculated by the formula is as follows: Body Surface Area= 0.007184 x (Height(m)^0.725) x (Weight(kg)^0.425)

Body surface area was developed as a metric to be used as such in the modulation of many various pharmaceutical treatments and as a standard index to various physiological measurements like glomerular filtration rate and cardiac output.

The Du Bois and its formula is one of the most widely used methods to determine a person's body surface area, in despite the fact that there are actually numerous variations on this concept. In the measurement of physiological and pharmacological data, the body surface area metric is much highly valued. The most typical reference point for chemotherapeutic drug dosing is body surface area.

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We cannot calculate the value of the angle in the pentagon with the given information

The given information is not sufficient to determine the value of the angle in the pentagon.

A pentagon has five sides and five angles, but the given information only provides the measure of one angle and the length of one side. To determine the measure of the remaining angles, we would need additional information about the pentagon, such as the length of another side or the measure of another angle.

Therefore, we cannot calculate the value of the angle in the pentagon with the given information.

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

the same as g ◦ f. (This means that composition is not commutative).

f ◦ g ◦ h is the composition that composes f with g with h.

Since when we combine functions in composition to make a new function, sometimes we

define a function to be the composition of two smaller function. For instance,

h = f ◦ g (1)

h is the function that is made from f composed with g.

For regular functions such as, say:

f(x) = 3x

2 + 2x + 1 (2)

What do we end up doing with this function? All we do is plug in various values of x into

the function because that’s what the function accepts as inputs. So we would have different

outputs for each input:

f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

f(0) = 3(0)2 + 2(0) + 1 = 1 (4)

f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)

When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

• Find (f ◦ g)(x) for f and g below.

f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

1

x

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

1

x

) = 3(x

2 +

1

x

) + 4 (12)

f(x

2 +

1

x

) = 3x

2 +

3

x

+ 4 (13)

Thus, (f ◦ g)(x) = f(g(x)) = 3x

2 +

3

x + 4.

Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but

with one extra step.

• Find (f ◦ g ◦ h)(x) given f, g, and h below.

f(x) = 2x (14)

g(x) = x

2 + 2x (15)

h(x) = 2x (16)

(17)

We wish to find f(g(h(x))). We will first find g(h(x)).

h(x) = 2x (18)

g( ) = ( )2 + 2( ) (19)

g(h(x)) = (h(x))2 + 2(h(x)) (20)

g(2x) = (2x)

2 + 2(2x) (21)

g(2x) = 4x

2 + 4x (22)

Thus g(h(x)) = 4x

2 + 4x. We now wish to find f(g(h(x))).

g(h(x)) = 4x

2 + 4x (23)

f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

f(4x

2 + 4x) = 2(4x

2 + 4x) (26)

f(4x

2 + 4x) = 8x

2 + 8x (27)

(28)

Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

2 + 8x.

The correct ratios are: cos 27=23/RT, sec 27= 23/10.4 and cot 63 = RT/10.4

What is trigonometry  ratio in tringle?

In triangle RST, angle T= 90° and angle R= 63°

As the total of all angle in any triangle is 180°, so the measure of the angle S = 180°- (90°+63°)

S= 180°- 153°

S= 27°

According to the rule of trigonometric ratios,

cos(θ) = \(\frac{hypotenuse}{opposite}\)

sec(θ) = \(\frac{hypotenuse}{adjacent}\)

cot(θ) = \(\frac{adjacent}{opposite}\)

In respect of angle R (63°), side RS(23) is hypotenuse , ST(10.4) is opposite and RT is adjacent.

cos(63°) = \(\frac{23}{10.4}\)

sec(63°) = \(\frac{23}{RT}\)

cot(63°) = \(\frac{RT}{10.4}\)

Now, in respect of angle S(27°), hypotenuse is RS(23), adjacent is ST(10.4) and opposite is RT.

So, cos(27°) = \(\frac{23}{RT}\)

sec(27°) = \(\frac{23}{10.4}\)

cot(27°) = \(\frac{10.4}{RT}\)

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The number of entries that would be in the raffle drawing if 20 tickets were purchased is 22.

It should be noted that the following can be deuced based on the information:

x = the number of tickets purchased

y =  the number of entries in the raffle drawing.

It should be noted that

r + b = 3

2r + b = 4

Solving simultaneously will give r = 1 and b = 2

Therefore, when x = 20, the equation y = x + 2 is used

This will be y = 20 + 2 = 22

Therefore, the number of entries that would be in the raffle drawing if 20 tickets were purchased is 22.

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Answer: I got it right!

Step-by-step explanation: Good luck guys :>

Step-by-step explanation:

You can use this app is call symbols and it's completely free.

Hope this helps

The particular solution of the differential equation is:
f(x) = -sin(x) + 3x + 3

To find the particular solution of the differential equation f''(x) = sin(x) that satisfies the initial conditions f'(0) = 2 and f(0) = 3, follow these steps:

1. Integrate f''(x) = sin(x) once with respect to x:
f'(x) = ∫sin(x) dx = -cos(x) + C₁

2. Use the initial condition f'(0) = 2 to find C₁:
2 = -cos(0) + C₁
C₁ = 3

So, f'(x) = -cos(x) + 3

3. Integrate f'(x) again with respect to x:
f(x) = ∫(-cos(x) + 3) dx = -sin(x) + 3x + C₂

4. Use the initial condition f(0) = 3 to find C₂:
3 = -sin(0) + 3(0) + C₂
C₂ = 3

So, the particular solution of the differential equation is:
f(x) = -sin(x) + 3x + 3

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Answer:3402

Step-by-step explanation:

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Answer:

The answer to your problem is, D. $13,564.80

Step-by-step explanation:

We know it took her 4 years to pay this amount. Let's solve for the total amount she paid including the interest.

12,560 x 0.02 = 251.2 per year

251.2 x 4 = 1004.8 dollars for 4 years.

1004.8 + 12,560 = 13,564.8 dollars.

Thus the answer to your problem is, D. $13,564.80

The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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Answer:

12 pitchers

Step-by-step explanation:

Saturday, 6 pitchers

Sunday, same number of pitchers with Saturday, = 6 pitchers

Total pitchers = 6 + 6 = 12 pitchers

Answer:

Cleo sold 6 pitchers of lemonade on Sunday.

Step-by-step explanation:

Cleo sold lemonade at her lemonade stand.

She sold 6 pitchers on Saturday.

On Sunday, she sold as many pitchers as Saturday.

This implies that she sold 6 pitchers too.

She sold 6 pitchers on Saturday, and 6 pitchers on Sunday.

Step-by-step explanation:

8.02 X 10².............

Answer:

Step-by-step explanation:

A ferris wheel has 32 passenger cabins. if you are sitting in cabin 14 which is currently at the top of the wheel, what is the number of the cabin at the bottom of the wheel?

32 : 2 + 14 = 30

Answer:

Step-by-step explanation:

Since there are 32 passenger cabins, each half of the wheel has:

It means the opposite cabins on the Ferris wheel have number difference of 16.

If one of the cabins has a number 14, the opposite cabin has number of: