Need help with number 6

Answer:c

Step-by-step explanation:

The adjusted balance of Blossom's inventory account is $214,680.

The rate of interest, also known as the interest rate, is the percentage amount charged by a lender or financial institution for the use of borrowed money or for the extension of credit. It is the cost of borrowing money, typically expressed as an annual percentage of the amount borrowed or owed.

Therefore, the adjusted balance of Blossom's inventory account is $214,680.

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The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.

To calculate the average number of calls in different time intervals and the probability of different events related to these calls.

Part 1:

a. 60-minute interval average number of calls: 400/16 = 25 calls

30-minute interval average number of calls: 25/2 = 12.5 calls

15-minute interval average number of calls: 12.5/2 = 6.25 calls

Part 2:

b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:

P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686

c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:

P(0 calls) = e^-6.25 = 0.0047

d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:

P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906

Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.

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Example: (2x - 4) x=7 so (2x (x=7) - 4) =18

The height of tree is 9.9372.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

ΔABC ~  ΔDEF  only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal and the angle included in both sides are congruent.

Given;

Juanita is 1.82 meters tall

From the tree's base, she walks 12.20 meters along the tree's shadow to a position where the end of her shadow.

She is now 6.10 meters from the end of the shadows.

Now,

Let, h be the height of the tree;

Here, ΔABC ~ ΔADE,

So, DE/BC = AD/AB

h/1.82 = (6.10 + 12.20)/6.10

h/1.82= 18.30/6.10

h=33.306/6.10

h=5.46

h = 1.82*5.46

= 9.9372

Therefore, by congruency of triangle the answer will be 9.9372.

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Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

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Step-by-step explanation:

Step 1: Find the mean x of the data values.

X = (ix₁) / n

x = (12 + 3 + 9 + 2 + 0 + 0 + 3) / 7

x = 29 / 7

x ≈ 4.14 (rounded to two decimal places)

Step 2: Calculate the squared differences from the mean for each data value [(x₁ - x)²].

For each data value, subtract the mean and square the result.

Squared Differences:

(12 - 4.14)² ≈ 53.43

(3 - 4.14)² ≈ 1.31

(9 - 4.14)² ≈ 23.09

(2 - 4.14)² ≈ 4.34

(0 - 4.14)² ≈ 17.11

(0 - 4.14)² ≈ 17.11

(3 - 4.14)² ≈ 1.31

Step 3: Calculate the variance (s²) of the data values.

s² = ((x₁ - x)²) / (n - 1)

s² = (53.43 + 1.31 + 23.09 + 4.34 + 17.11 + 17.11 + 1.31) / (7 - 1)

s² ≈ 117.70 / 6

s² ≈ 19.62 (rounded to two decimal places)

Step 4: Calculate the standard deviation (s) of the data values.

s = √s²

s = √19.62

s ≈ 4.43 (rounded to two decimal places)

Step 5: Find the range of the data values.

Range = Maximum value - Minimum value

Range = 12 - 0

Range = 12

Therefore, the results are:

The standard deviation is approximately 4.43 (rounded to two decimal places).

The variance is approximately 19.62 (rounded to two decimal places).

The range is 12.

Ana will spend K23.94 for 21 days.

To calculate how much Ana will spend for 21 days, we need to determine the cost per day and then multiply it by the total number of days.

Since Ana spends K8.00 per week, we can find the daily cost by dividing the weekly cost by the number of days in a week.

Cost per day = K8.00 / 7 days = K1.14 (rounded to two decimal places)

Now, we can calculate how much Ana will spend for 21 days by multiplying the cost per day by the total number of days.

Total spending = K1.14 * 21 days = K23.94

Therefore, Ana will spend approximately K23.94 for 21 days.

It's important to note that we rounded the cost per day to two decimal places. In real-life scenarios, Ana may have to pay the nearest whole currency amount per day. Therefore, the actual total spending might differ slightly depending on the rounding or any variations in the daily cost.

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Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

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Answer: $1090

Step-by-step explanation:

Since Caroline won $205000 in a lottery and then paid $96000 in taxes, the remaining amount will be:

= $205000 - $96000

= $109000

The interest that the account will earn after just 6 months will be:

Interest = PRT

= 109000 × 2% × 6/12

= 109000 × 0.02 × 0.5

= $1090

Answer:

This doesn't really make sense, could you post the whole question?

Answer:

pppppppppppppppppppppppppppppppppppppppppp

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Given:

The angle is 166 degree.

Explanation:

The coterminal angle can be determined by adding and substracting 360 from the given angle 166 degree.

Determine the positive and negative coterminal angle.

For positive coterminal angle:

For negative coterminal angle:

Thus positive and negative coterminal angles are 526 degree and -194 degree.

Answer:

A = 80 in²

Steps:

A = 16 × 5

A = 80 in²

Answer:

im not completely sure but i think 80in.²

Answer:

  B.  -19 -28i

Step-by-step explanation:

Combine like terms in the usual way.

  24 -10i -(43 +18i)

  = 24 -10i -43 -18i . . . . . distribute the minus sign

  = (24 -43) +(-10 -18)i

  = -19 -28i

Answer:

-12.50x+350<210

Step-by-step explanation:

The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).

An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.

Workers who complete the computer security course will each receive a reimbursement of $350.

We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.

Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.  

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Answer:

No is correct

Step-by-step explanation:

convert 2/3 into 6ths

4/6 = 8/12

so no, non of them equal to 4/8

Answer: No they are not

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Looks like the function on the right hand side is

\(f(t)=\begin{cases}1&\text{for }t<4\\-1&\text{for }t\ge4\end{cases}\)

We can write it in terms of the Heaviside function,

\(h(t-a)=\begin{cases}1&\text{for }t\ge a\\0&\text{for }t>a\end{cases}\)

as

\(f(t)=h(t)-2h(t-4)\)

Now for the ODE: take the Laplace transform of both sides:

\(y'(t)+y(t)=f(t)\)

\(\implies s Y(s)-y(0)+Y(s)=\dfrac{1-2e^{-4s}}s\)

Solve for Y(s), then take the inverse transform to solve for y(t):

\((s+1)Y(s)=\dfrac{1-e^{-4s}}s\)

\(Y(s)=\dfrac{1-e^{-4s}}{s(s+1)}\)

\(Y(s)=(1-e^{-4s})\left(\dfrac1s-\dfrac1{s+1}\right)\)

\(Y(s)=\dfrac1s-\dfrac{e^{-4s}}s-\dfrac1{s+1}+\dfrac{e^{-4s}}{s+1}\)

\(\implies y(t)=1-h(t-4)-e^{-t}+e^{-(t-4)}h(t-4)\)

\(\boxed{y(t)=1-e^{-t}-h(t-4)(1-e^{-(t-4)})}\)

Answer: D

Step-by-step explanation:

Answer:D

Step-by-step explanation:

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer:

46 terms

Step-by-step explanation:

a₁=b, a₂₁= bₙ, d₁=9, d₂=4

n=?

---------------

a₂₁= a₁+20d₁= a₁+20*9= a₁+180

bₙ= b₁+(n-1)d₂= a₁+4(n-1)

a₁+4(n-1)=a₁+180

4(n-1)=180

n-1= 180/4

n-1= 45

n=46

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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Answer: 62.24

Step-by-step explanation:

To find the mean, you must add the total of numbers and divide by the amount of numbers there are:

70.42+42.27+74.02+43.50+77.80+65.43 = 373.44

Now we divide by the amount of each number, 6:

373.44/6

=

62.24