7+8=8+7 identity property

Answer:

I believe it is 6 but I'm not sure

Step-by-step explanation:

Sorry I am unsure

Step-by-step explanation:

the function for x≥—1 is x²—3

so f(3) = 3²—3=9—3=6

Answer:

2.

Step-by-step explanation:

To find the number of trailing zeroes, given n!, we take n and divide it by increasing powers of 5. For example, the number of trailing zeroes in 50! = 50/5 = 10, 50/25 = 2, 10 + 2 = 12 trailing zeroes.

In this case, 10/5 = 2, and since we cannot get an integer from dividing 10 and 25, we are left with this answer.

I hope this helps!

Answer:

That's supposed to be easy ????

Step-by-step explanation:

Answer: x and y is 1

Step-by-step explanation:

since the other numbers would make the original total higher

A square is any 2-dimensional shape that has all 4 sides equal and opposite sides parallel.

A square is typically identified when we see any shape which has 4 sides. These sides are equal to one another. The opposite sides are parallel. Another very important feature to be noted is that a square makes an angle of 90° with its adjacent sides.

If the angles are not 90°, then the shape is a rhombus and not a square.

A perfect example of a square is the game board of ludo. That is a perfect square. Another example is a handkerchief.

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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12. Answer

w+(9+3)

13. Answer

17+12+y+z

Answer:

noooo he/she left...

Step-by-step explanation:

The cost of installing a fence around an 80 ft. wide and 120 ft. deep rectangular lot, with the fence priced at $3.25 per linear foot, will be $1,300.

To determine the cost of installing a fence around a rectangular lot, you need to calculate the total length of the fence required and then multiply that by the cost per linear foot. The given dimensions of the lot are 80 feet wide and 120 feet deep.
First, calculate the perimeter of the rectangular lot. The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length (or depth) and W is the width. In this case, the perimeter is P = 2(120) + 2(80) = 240 + 160 = 400 feet.
Next, multiply the total length of the fence by the cost per linear foot, which is $3.25. So, the cost of installing the fence is 400 feet × $3.25 per linear foot = $1,300.

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From the inequality graph, the solution to the inequalities is: (4, -2/3)

There are different tyes of inequalities such as:

Greater than

Less than

Greater than or equal to

Less than or equal to

Now, the inequalities are given as:

y < (1/3)x - 2

x < 4

Thus, the solution to the given inequalities will be gotten by plotting a graph of both and the point of intersection will be the soilution which in the attached graph we see it as (4, -2/3)

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Answer:

1. it would be $0.8

2.(10,8) represents 10 potatoes cost 8 dollars

Step-by-step explanation:

1. Since we can use unit prices, we know (x,y) is (5,4), so we know 5 divided 5 is 1, and we can do 4 divided by 5 and you get 0.8, hope this will help

Answer:

see below

Step-by-step explanation:

The slope is y/x since the relationship is proportional

(5,4)

4/5 = m

The equation of the line is y = mx

y = 4/5x where x is the potatoes and y is the price

We want the cost of one pound of potatoes

x=1

y = 4/5 (1)

y =.80

The cost of one pound of potatoes is .80 dollars

(10,8)

x=10 and y = 8

The cost of 10 pounds of potatoes is 8.00 dollars

Answer:

B

Step-by-step explanation:

240 miles divided by 4 hours is 60mph

Answer:

B

Step-by-step explanation:

The formula for calculating the average speed=

distance covered/time taken

In the question the:

distance covered=240miles

time taken =4hours

240/4

60/1

60mph

Answer:

For the table I got 18 for the 5, 36 for the ten and not sure on the last one for the table and for the last one I got approx 5 mins but I’m not too sure

Step-by-step explanation:

Answer:

A.

5 mins = $5.20

10 = $7.20

M - i can't calculate that without having more info but the equation would be (M × 0.40) + 3.20 = Total amount in dollars.

B. 42 minutes

Step-by-step explanation:

Use the equation I listed before for A.

For B. 20.00 - 3.20 = 16.80. 16.80/0.40 = 42.

you should give me brainliest if im right

the approximate arc length traced out by the endpoint of the vector-valued function f(t) = tcos(t)i + tsin(t)j over the interval [0, 2π] is approximately 10.6706 units.

What is arc?

An arc is a curved segment of a circle or any curved line. It is formed by connecting two points on the curve, and the arc itself lies on the circumference of a circle or the curved line.

To find the arc length traced out by the endpoint of the vector-valued function f(t) = tcos(t)i + tsin(t)j over a specific interval, we can use the arc length formula for a vector-valued function.

The arc length formula for a vector-valued function r(t) = xi + yj + zk over an interval [a, b] is given by:

\(L = \int[a, b] \sqrt((dx/dt)^2 + (dy/dt)^2 + (dz/dt)^2) dt\)

In this case, our vector-valued function is f(t) = tcos(t)i + tsin(t)j, where x = tcos(t), y = tsin(t), and z = 0 (since there is no z-component in the function).

Therefore, we need to calculate the derivatives dx/dt, dy/dt, and dz/dt to substitute them into the arc length formula.

dx/dt = cos(t) - tsin(t)

dy/dt = sin(t) + tcos(t)

dz/dt = 0 (since z = 0)

Now, let's compute the arc length over the interval [a, b] using the arc length formula:

\(L = \int[a, b] \sqrt((cos(t) - tsin(t))^2 + (sin(t) + tcos(t))^2 + 0^2) dt\\\\= \int[a, b] \sqrt(cos^2(t) - 2tcos(t)sin(t) + t^2sin^2(t) + sin^2(t) + 2tcos(t)sin(t) + t^2cos^2(t)) dt\\\\= \int[a, b] \sqrt(1 + t^2) dt\)

Since the interval is given as [0, 2π], we will substitute a = 0 and b = 2π into the integral:

\(L = \int[0, 2\pi] \sqrt(1 + t^2) dt\)

Using numerical software or calculators, the approximate value of the integral is found to be approximately 10.6706.

Therefore, the approximate arc length traced out by the endpoint of the vector-valued function f(t) = tcos(t)i + tsin(t)j over the interval [0, 2π] is approximately 10.6706 units.

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Answer:

Blue car = 28.4 miles per gallon

Red car = 34 miles per gallon

Step-by-step explanation:

You are running a fuel economy study. One of the cars you find is blue. can travel 35 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallons of gasoline.

What is the unit rate for miles per gallon for each​ car?

Blue car:

Travels 35 1/2 miles on 1 1/4 gallons of gasoline

Miles per gallon of the blue car = Total miles / total gallons

= 35 1/2 miles ÷ 1 1/4 gallons

= 71 / 2 miles ÷ 5/4 gallons

= 71/2 × 4/5

= 284 / 10

= 28.4 miles per gallon

Red car:

Travels 27 1/5 miles on 4/5 gallons of gasoline

Miles per gallon of the red car = Total miles / total gallons

= 27 1/5 miles ÷ 4/5 gallons

= 136 / 5 ÷ 4/5

= 136/5 × 5/4

= 136 / 4

= 34 miles per gallon

Answer:

71

Step-by-step explanation:

(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)

(50) + (21) = 71

a) The upper bound of the 95% confidence interval is given as follows: 1024 hours.

b) The lower bound of the 95% confidence interval is given as follows: 1004 hours, which is the same difference from the mean as the upper bound, just below the mean.

We use the t-distribution to obtain the confidence interval when we have the sample standard deviation.

The equation for the bounds of the confidence interval is presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The parameters for this problem are given as follows:

\(\overline{x} = 1014, s = 25, n = 25\)

The lower bound of the interval is then given as follows:

1014 - 2.0639 x 25/5 = 1004.

The upper bound of the interval is then given as follows:

1014 - 2.0639 x 25/5 = 1024.

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The answer is 1004.

Given data: $n=25$, $\bar{x}=1014$ and $\sigma=25$.

The sample mean $\bar{x}$ = 1014 and sample size n = 25We can construct 95% confidence interval as follows:Step 1: Find the sample mean $\bar{x}$ = 1014Step 2:

Find the standard error,SE = $\frac{\sigma}{\sqrt{n}}$ =$\frac{25}{\sqrt{25}}$=5Step 3: Find the margin of error,

ME = $z_{\frac{\alpha}{2}}$ x SE , where $\alpha$=0.05, z-value for 0.025 = 1.96ME=1.96 x 5 = 9.8Step 4: Find the lower and upper limit for the confidence interval.

Lower limit = $\bar{x}$ - ME= 1014 - 9.8= 1004.2Upper limit = $\bar{x}$ + ME= 1014 + 9.8= 1023.8Thus the 95\% two-sided confidence interval is $(1004,1024)$.Lower-confidence bound on the mean life with 95% CI is:

Lower confidence bound = $\bar{x}$ - $z_{\alpha}$ x $\frac{\sigma}{\sqrt{n}}$=1014 - 1.96 x $\frac{25}{\sqrt{25}}$=1014-1.96x5=1004.2.

Comparing the lower bound of this confidence interval with the one in part (a), the lower bound in part (b) is the same as the lower limit in part (a). Therefore, the answer is 1004.

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Answer:

(5,15)

Step-by-step explanation:

Check x = 0,the P(x)=-225 : not an inequality solution

Check x = 10 to get -3*-5*5> 0 solutions in 5< x < 10

Check x = 20 to get -3*+5*+15<0 so no solutions in (15,+inf)

Ans: Profit for (5,15)

Answer:

The answer is 3x=50-10y

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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Answer:

i think it is -14.56

Step-by-step explanation:

Noel delivered an average of 500 yards of ribbon per day from Tuesday to Monday.

The central value represents the typical or average value of all the numbers in the set.

From Tuesday to Friday, Noel delivered 350 yards of ribbon per day, a total of 4 days. So, the total length of ribbon that he delivered during this period is

=> 4 * 350 = 1400 yards.

From Saturday to Monday, he delivered 700 yards of ribbon per day, a total of 3 days. So, the total length of ribbon that he delivered during this period is

=> 3 * 700 = 2100 yards.

To find the average length of ribbon that Noel delivered per day, we need to find the total length of ribbon he delivered in both periods and divide it by the total number of days.

The total length of ribbon he delivered in both periods is

=> 1400 + 2100 = 3500 yards.

The total number of days is

=> 4 + 3 = 7 days.

So, the average length of ribbon that Noel delivered per day is

=> 3500/7 = 500 yards.

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Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

7500 N

Step-by-step explanation:

Given that,

A hammer claw moves a distance of 0.10 meters to remove a nail.

Resistance force, F = 1500 N

The person move the handle of the hammer 0.5 m

We need to find the effort force. Let it is F'. The mechanical advantage is given by :

\(m=\dfrac{effort}{resistance}=\dfrac{d_i}{d_o}\)

Where \(d_i\ \text{and}\ d_o\) are input and output distance respectively.

\(m=\dfrac{F'}{F}=\dfrac{0.1}{0.5}\\\\\dfrac{1500}{F}=\dfrac{0.1}{0.5}\\\\\dfrac{1500}{F}=0.2\\\\F=7500\ N\)

So, the effort force is 7500 N.

Equation/Question:

-2(x+1)+4x<-10 What’s the solution?

Answer/Way I did it:

1. Expand.

-2x-2+4x<-10

2. Simplify  -2x-2+4x to  2x-2.

2x-2<-10

3. Add 2 to both sides.

2x<-10+2

4. Simplify  -10+2 to −8.

2x<-8

5. Divide both sides by 2.

x<-8/2

6. Simplify  8/2 to  4.

x<−4

Done by NeighborhoodDealer

Recall that the slopes of two perpendicular lines, satisfy that:

Therefore, the slope of the line perpendicular to -3x-2 must-have slope

Now, to determine the equation of the line, we will use the following formula for the equation of a line with slope m, that passes through the point (x₁,y₁):

Substituting (x₁,y₁)=(-7,-1/3), and m=1/3 in the above formula, we get:

Simplifying the above result, we get:

Recall that the slope-intercept form of the equation of a line is:

where b is the y-intercept and m is the slope.

Taking the equation of the line to its slope-intercept form we get:

Answer:

Answer:

YUM! I made carrot-cake cupcake-ish cakes a few days ago,... HEAVEN!!!

Step-by-step explanation:

6/7 = 12/14

1 cupcake = 1/14 cup of frosting

If you have 12/14 cups of frosting than you can frost 12 cupcakes,...

12 is your answer!

Happy dreaming,... Chow,...!

The additional information needed to evaluate the adequacy of the sample size, the type of confirmation used, and the percent of accounts confirmed will depend on the specific context of the study or investigation.

In general, some important pieces of information to consider may include the size and diversity of the population being studied, the level of accuracy or precision desired, the expected effect size or variability of the variables being examined, and any potential biases or confounding factors that could impact the results. Additionally, information about the study design, sampling method, and data analysis techniques may also be important to consider.

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Since the events are not mutually exclusive, there is a possibility that they occur simultaneously. Therefore, we need to consider this possibility in calculating the probability of event a occurring before event b.

Answer:

Let P(a) and P(b) be the probabilities of event a and event b, respectively. Then, the probability that event a occurs before event b is given by the formula:

P(a before b) = P(a) + P(a and b)/[1 - P(b)]

Here, P(a and b) represents the probability that events a and b occur simultaneously. Since the events are independent, we can calculate this probability as:

P(a and b) = P(a) x P(b)

Substituting this value in the formula, we get:

P(a before b) = P(a) + P(a) x P(b)/[1 - P(b)]

Simplifying this expression, we get:

P(a before b) = P(a) / [1 - P(b)]

This formula gives us the probability that event a occurs before event b, given that a and b are independent events (and not mutually exclusive). We can use this formula to calculate the probability of event a occurring before event b for any given values of P(a) and P(b).

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Answer:

0.214kg

Step-by-step explanation:

1000g is 1kg

Therefore 214g is 0.214kg