In ΔABC, the measure of ∠C=90°, the measure of ∠A=64°, and AB = 2.7 feet. Find the length of BC to the nearest tenth of a foot.

Answer:

110 + 10x ; 40x

4

Step-by-step explanation:

Given that:

For every visit to Arts museum:

Scenario 1:

Parking fee = $15

Admission fee = $25

Total amount for scenario 1:

If number of visits = x

Total cost = $(15 + 25) × number of visits

Total cost : $40x

With membership :

Price of membership = $110 (one time payment)

Parking fee = $10

Admission fee = $0

Let number of visits = x

Total cost :

Membership fee + (parking fee × number of visits)

$110 + ($10 * x)

= 110 + 10x

B) number of visits for which member cost is less than non-member cost :

Member cost = 110 + 10x

Non member cost = 40x

110 + 10x < 40x

10x - 40x < 110

-30x < 110

x > 3.67

Hence x = 4

Number of visits for which member cost is greater than non member cost is 4

Answer:

Discrete

Step-by-step explanation:

Given the function:

f(x) = 100x + 300

Where ;

x = number of attendees

At least 4 students but no more than 9 students will attend the fieldtrip due to transportation and chaperone restrictions

Range of attendees :

4 ≤ x ≤ 9

Is this a discrete or continuous situation?

It is a discrete because the number of students who will attend the science weekend are finite and countable.

The number of attendees range from:

4, 5, 6, 7, 8 and 9.

Answer

5/48, 3/16, 0.5, 0.75

Step-by-step explanation:

The directions on a swimming pattern says to cut an extra 15 percent of fabric to account for error, Chloe needs 0.75 yard of fabric to make a skirt and she cuts 0.8625 yards,

Given that the directions on a sewing pattern say to cut an extra 15% of fabric to account for an error, and Chloe needs a 0.75 yard of fabric to make a skirt, so she cuts 0.1125 yard, to determine if Chloe cut the correct amount of fabric the following calculation must be made:

0.75 x 1.15 = X

0.8625 = X

0.8625 - 0.1125 = 0.75

Therefore, the amount of fabric that Chloe cut is correct.

To learn more about proportions, click here https://brainly.com/question/870035

#SPJ4

17/3

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To know more about discount rate visit:

https://brainly.com/question/13660799
#SPJ11

The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

Learn more about: Percent

brainly.com/question/31323953

#SPJ11

Answer:

If a house need 50 hours to paint, it will cost $3000

Step-by-step explanation:
--- According to the problem, $500 is the cost for supplies, which means that for every house, that cost will be there. In other words, this payment never changes no matter the house. So far you pay $500

--- Now, the problem says that you pay $50 for each hour of labor. Since the house need 50 hours, we will multiply 50 (the cost) by 50 (the hours) = 2500.

--- Now we put the payments together. 500 + 2500 = 3000. So it will cost $3000 to paint a house that need 50 hours.

Answer:

A = 210 cm²

Step-by-step explanation:

Perimeter of the triangle = the sum of the sides of the triangle.

70 = (3x - 1) + (4x + 1) + (3x)

70 = 10x  

7 = x     The length of the sides of the triangle are 3x - 1 = 20;  4x + 1 = 29 and                

             3x = 21.

 Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.

Trying a² + b² = c² to see if it is a right triangle.   20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21.   The longest side is the hypotenuse in a right triangle

A = 1/2bh

A = 1/2 (20)(21)

A = 10 · 21

A = 210 cm²

All the complex numbers on a circle of radius 5 have a modulus of 5, so there are infinite of them.

For a given complex number:

z = a + bi

The modulus is given by:

M = √(a² + b²)

The numbers that have a modulus of 5 are:

5 = √(a² + b²)

We can rewrite that as:

5² = a² + b²

So all the complex numbers in a circle or radius 5 have a modulus of 5, and there are infinite numbers in that circle, so the answer is infinite.

Learn more about complex numbers:

https://brainly.com/question/10662770

#SPJ1

Answer:

I would make a triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average waiting time for FCFS: 8.75

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

To know more about FCFS :

brainly.com/question/32861141

#SPJ11

Given:

Frequency distribution table.

Mode = 34.5

To find:

The value of missing frequency 'f'.

Solution:

Formula for mode is

\(Mode=l+\dfrac{f_1-f_0}{2f_1-f_0-f_2}\times h\)

where, l is lower limit of modal class, \(f_1\) is frequency of modal class, \(f_0\) is frequency of preceding class, \(f_2\) is frequency of succeeding class, h is class size.

Mode is 34.5, so the modal class is 30-45. So,

\(l=30,f_1=f,f_0=7, f_2=3,h=45-30=15\)

Putting these values in the above formula, we get

\(34.5=30+\dfrac{f-7}{2f-7-3}\times 15\)

\(34.5-30=\dfrac{f-7}{2f-10}\times 15\)

\(4.5=\dfrac{f-7}{2f-10}\times 15\)

Divide both sides by 15.

\(\dfrac{4.5}{15}=\dfrac{f-7}{2f-10}\)

\(0.3=\dfrac{f-7}{2f-10}\)

\(0.3(2f-10)=f-7\)

\(0.6f-3=f-7\)

Separating variable terms, we get

\(0.6f-f=3-7\)

\(-0.4f=-4\)

Divide both sides by -0.4.

\(f=\dfrac{-4}{-0.4}\)

\(f=10\)

Therefore, the value of f is 10.

The required function for representation of the population of the frog after x years is \(f(x) = 1,200 (0.97)^x\). Option C is correct.

Given that,
Ginny is studying a population of frogs.
She determines that the population is decreasing at an average rate of 3% per year.
She began her study, the frog population was estimated at 1,200.

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function lies (-∞, ∞).  

Here,

The population is decreasing at an average rate of 3% per year, frog population was estimated at 1,200.
Let A be the population after x  years and given as
\(A = 1200 (1 - r / 100)^X\)
\(A = 1200 (1 - 0.03 / 100)^X\\A = 1200 (0.097)^X\)

Thus, the required function for representation of the population of the frog after x years is \(f(x) = 1,200 (0.97)^x\). Option C is correct.

Learn more about exponential function here:

brainly.com/question/15352175

#SPJ1

Answer: c

Step-by-step explanation:

The velocity vector v(t) = (e^tcos(t) - e^tsin(t)) i + (e^tsin(t) + e^tcos(t)) j + 8 k. The acceleration vector a(t) = -2e^tsin(t) i + 2e^tcos(t) j. The speed |v(t)| = √[2e^t(cos(t) - sin(t))^2 + 64].

Velocity, acceleration, and speed can be determined by differentiating the given position function with respect to time, t, and applying the appropriate formulas.

To find the velocity, we differentiate the position function r(t) with respect to time:

v(t) = dr(t)/dt

Given that r(t) = e^t(cos(t) i + sin(t) j + 8t k), we can differentiate each component separately:

For the i-component:

dx(t)/dt = d(e^tcos(t))/dt = e^tcos(t) - e^t*sin(t)

For the j-component:

dy(t)/dt = d(e^tsin(t))/dt = e^tsin(t) + e^t*cos(t)

For the k-component:

dz(t)/dt = d(8t)/dt = 8

Therefore, the velocity vector v(t) is:

v(t) = (e^tcos(t) - e^tsin(t)) i + (e^tsin(t) + e^tcos(t)) j + 8 k

To find the acceleration, we differentiate the velocity function v(t) with respect to time:

a(t) = dv(t)/dt

Differentiating each component of v(t) separately:

For the i-component:

d²x(t)/dt² = d(e^tcos(t) - e^tsin(t))/dt = e^tcos(t) - e^tsin(t) - e^tsin(t) - e^tcos(t) = -2e^t*sin(t)

For the j-component:

d²y(t)/dt² = d(e^tsin(t) + e^tcos(t))/dt = e^tsin(t) + e^tcos(t) + e^tcos(t) - e^tsin(t) = 2e^t*cos(t)

For the k-component:

d²z(t)/dt² = d(8)/dt = 0

Therefore, the acceleration vector a(t) is:

a(t) = -2e^tsin(t) i + 2e^tcos(t) j + 0 k

Simplifying: a(t) = -2e^tsin(t) i + 2e^tcos(t) j

To find the speed, we calculate the magnitude of the velocity vector v(t):

|v(t)| = √[(e^tcos(t) - e^tsin(t))^2 + (e^tsin(t) + e^tcos(t))^2 + 8^2]

Simplifying: |v(t)| = √[2e^t(cos(t) - sin(t))^2 + 64]

In summary:

The velocity vector v(t) = (e^tcos(t) - e^tsin(t)) i + (e^tsin(t) + e^tcos(t)) j + 8 k.

The acceleration vector a(t) = -2e^tsin(t) i + 2e^tcos(t) j.

The speed |v(t)| = √[2e^t(cos(t) - sin(t))^2 + 64].

Learn more about velocity vector here

https://brainly.com/question/28491008

#SPJ11

Answer: 12 pencils

Step-by-step explanation:

17 - 8 = $9

9 ÷ $0.75 = 12

So the answer is 12 pencils.

Answer:

12

Step-by-step explanation:

She spent $8 on a sketchpad and $17 in total.

Amount of money she spent on drawing pencils = \(17-8=9\)

A drawing pencil cost $0.75 and she spent $9.

Thus, she bought \(9\div0.75=12\) drawing pencils.

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle (\(A\)), measured in square feet, is determined by the following equations:

\(A = w\cdot l\) (1)

Where:

\(w\) - Width, measured in feet.

\(l\) - Length, measured in feet.

If we know that \(w = x\), \(l = 2\cdot x\) and \(A = 160\,ft^{2}\), then we get the following second order polynomial:

\(2\cdot x^{2}-160 = 0\) (1)

And we solve the expression for \(x\):

\(2\cdot x^{2} = 160\)

\(x^{2} = 80\)

\(x = \sqrt{80}\,ft\)

\(x \approx 8.944\,ft\)

Then, the dimensions of the pool are, respectively:

\(w \approx 8.944\,ft\) and \(l \approx 17.888\,ft\)

Answer:

Actually it would be 87,100,000 in standard form.

Step-by-step explanation:

Answer:

they are

Step-by-step explanation:

the simplest form 8/18 is 4/9

There is 1 mistake:

This person distributed and came out with the wrong answer.

It is not:

\(-2(x -3) = 20\\\\-2x - 6 = 20\)

This is the corrected form:

\(-2(x - 3) = 20\\\\-2x + 6 = 20\)

Answer:

2 and -2

Step-by-step explanation:

because its absolute value which means the distance away from 0 so 2 and -2 are both 2 away from 0

Answer:

11

Step-by-step explanation:

11

since it asks the absolute value of -11 it

will be 11 because in absolute value-for negatives it always positive.

Answer:

see attached

Step-by-step explanation:

Answer:19.05

Step-by-step explanation:127 min * (9000m/60min)=19050m=19.05km

Answer:the surface area of the pyramid is

16 square feet

Step-by-step explanation:

I found this on a website called quizlet and it showed the answer to this problem

Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

Answer:

(a) \(x=\frac{19}{4}=4.75\)

(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)

Step-by-step explanation:

The detailed explanation is shown in the attached documents below.

Answer:5.67* 10^7

Step-by-step explanation: