DUE SOON! PLEASE HELP! NEED AN EXPLINATION! BEEN STUCK ON THIS FOR AWHILE! PLEASE HELP!! I DONT EVEN KNOW WHERE TO START!
QUESTION DOWN BELOW!
MANY THANKS!!

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

Y = 4

Step-by-step explanation:

5x-y=54

50-y=54

circle y and subtract 50 from itself then subtract 50 from 54.

after subtracting you should have y=4

Answer:

x = 30

Step-by-step explanation:

We know

The three angles must add up to 180°. We know one is 20°, so the other two must add up to 160°.

2x + 3x + 10 = 160

5x + 10 = 160

5x = 150

x = 30

The value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.

Mean value theorem is the theorem which is used to find the behavior of a function.

The function given as,

\(f(x) = 6x^2 - 4x + 2\)

The value of function at 0,

\(f(0) = 6(0)^2 - 4(0) + 2\\f(0)=2\)

Differentiate the given equation,

\(f(x)' = 6\times2x - 4\times1 + 0\\f(x)' = 12x - 4\\f(x)' = 12x -4\)

If the constant c between 1 and 9 such that the average value of the function f(x) on the interval (1,9], then,

\(f(c)'=12c-4\)

Using Lagrange's mean value theorem,

\(f(c)'=\dfrac{f(9)-f(1)}{9-1}\\12c-4=\dfrac{452-4}{9-1}\\12c=54+4\\c=\dfrac{60}{12}\\c=5\)

Thus, the value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.

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Answer:

5.5402

Step-by-step explanation:

First you need to find the average value of the function, you can use a calculator to do that, which you will find is 164.

The questions asks you to find a number between 1 and 9 so that f(c) (which is just f(x)) equals the average value of the function.

Since you already know the average value (164), you can set the equation equal to 164 and solve for x, which should give you 5.5402.

If you want more information: the function equals the average value, which is 164=6x^2-4x+2, is the equation you want to set up and solve for x.

You may get two answers and I can't explain why because I don't understand it that well, just use the one that is in the 1 to 9 range.

The second answer should be negative which is out of the 1 to 9 range, which leaves you with the other number that rounds up to 5.5402

I hope this helps any other struggling students

Answer:

587

Step-by-step explanation:

The system of equations is.

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

And the solutions are y = 50 and x = 10.

Let's define the two variables:

With the given information we can write two equations, then the system will be:

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

Now let's solve it.

We can isolate x on the first  to get:

\(\text{x} = 60 - \text{y}\)

Replace that in the other equation to get:

\(15\times(60 - \text{y}) + 10\text{y} = 800\)

\(-2\bold{y} = 900 - 800\)

\(-2\bold{y} = 100\)

\(\text{y} = \dfrac{100}{-2} = \bold{50}\)

Then \(\bold{x=10}\).

Therefore, the solutions are y = 50 and x = 10.

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Answer:

$15.63 ≤ x ≤ $54.365

Step-by-step explanation:

Profit of the phone company is modeled by the equation,

p(x) = -50x² + 3500x - 2500

For the profit of at least $40000,

-50x² + 3500x - 2500 ≥ 40000

-50x² + 3500x ≥ 40000 + 2500

-50x² + 3500x ≥ 42500

-x² + 70x ≥ 850

x² - 70x + 850 ≤ 0

By quadratic formula,

x - intercept of the inequality will be,

x = \(\frac{-(-70)\pm \sqrt{(-70)^2-4(1)(850)}}{2(1)}\)

x = \(\frac{70\pm \sqrt{1500}}{2}\)

x = 15.635, 54.365

Therefore, $15.635 ≤ x ≤ $54.365 will be the range of cost for which profit will be at least $40000.

commission = 250,000×4/100

commission = $10,000

Answer:

$10,000

Step-by-step explanation:

because of acom by Jill one GB cb to be yes we will i you and the ward off Luth you sir ma we have in mind the customer service is not available for is it possible to you IJN you and the ward screen shot of a quick response because I am not you sir I am not sure if my proposal sounds interesting for you ma I will send it to u the picture

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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Answer:

It is linear. The constant rate of change is 3 cents per hour.

Step-by-step explanation:

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

Answer:   0

.

0

0

0

1

2

−

0

.

0

2

+

5

+

5

0

0

Step-by-step explanation:

\(6000 + \frac{14 \\ }{100} \times 6000 = 6840 \times 6 = 41040\)

The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.

When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.

To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:

distance = rate x time

We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:

294 feet = (7 feet/6 seconds) x time

294 feet x 6 seconds = 7 feet x time

1764 seconds = 7 feet x time

time = 1764 seconds / 7 feet

time = 252 seconds

So it takes 252 seconds for the water bottle to travel the length of the belt.

Now let's calculate the sorter's error:

343 seconds - 252 seconds = 91 seconds

The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.

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Answer:

To simulate one trial of this situation using a random number table, we can follow these steps:Step 1: Assign the digits 00-04 to represent packages not delivered on time and 05-99 to represent packages delivered on time.Step 2: Generate a two-digit random number from the random number table.Step 3: If the generated number falls between 00 and 04, count it as a package not delivered on time. If the generated number falls between 05 and 99, count it as a package delivered on time.Step 4: Repeat steps 2 and 3 until we get a package not delivered on time.The correct option is: Read two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.

Step-by-step explanation:

Answer:

Check pdf

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Given that,

x varies inversely as v.

When v = 3, x = 35.

We need to find x when v = 15

ATQ,

\(x=\dfrac{k}{v}\)

Put v = 3, x = 35,

\(k=3\times 35\\\\k=105\)

Now put v = 15 and k = 105

\(x=\dfrac{105}{15}\\\\x=7\)

So, the required value of x is equal to 7.

Answer:

1)number 3 : y=1/2x+1 2)number 5 : y=-2x-4 3) number 1 : y=1/3x+4

Step-by-step explanation:

The result suggests that the mean wake time might have really reduced since the values barely fall above 100 min as in before treatment with a high degree of confidence. thus , the drug is effective.

Confidence interval is written in the form as;

(Sample mean - margin of error, sample mean + margin of error)

The sample mean represent x , it is the point estimate for the population mean.

Margin of error = z × s/√n

Where s = sample standard deviation = 21.8

n = number of samples = 17

Now the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

then the degree of freedom, df for the sample.

df = n - 1 = 17 - 1 = 16

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.01/2 = 0.005

Therefore the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995

the t distribution table, z = 2.921

Margin of error = 2.921 × 21.8/√17

= 15.44

The confidence interval for the mean wake time for a population with drug treatments will be; 90.3 ± 15.44

The upper limit is 90.3 + 15.44 = 105.74 mins

The lower limit is 90.3 - 15.44 = 74.86 mins

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Matching the name of the sampling method:

1. Situations surveying every 3rd driver coming through a tollbooth: Systematic

2. Separating all students by grade level, and selecting 10 students from each grade:  Stratified

3. Number every name on a list and use a random number generator to select the first 50 numbers: Simple Random

4. Asking people on the street:  Convenience

5. Randomly select two tables in the cafeteria and survey all the people at those two tables: Cluster

With basic random sampling, we choose components of the population at random. Simple random sampling involves numbering each name in a list and choosing the top 50 numbers using a random number generator.

In cluster sampling, we divide the population into various clusters that are suitable for representing the population. We then randomly select the clusters, and sample each of their components.

Cluster sampling is the practice of choosing two tables at random and surveying everyone at those tables. Researchers sample people based on convenience when they use convenience sampling.

Convenient sampling includes things like asking random strangers on the street. Sampling in systematic sampling is done using a system (rule).

The third driver who passes through a toll booth is surveyed as an example of systematic sampling. According to a trait or condition, such as grade level, the population is divided in stratified sampling.

Hence, stratified sampling would include dividing all students into grade levels and choosing 10 from each grade.

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The complete question is:

Match the name of the sampling method descriptions given.

1. Situations surveying every 3rd driver coming through a tollbooth

2. Separating all students by grade level, and selecting 10 students from each grade

3. Number every name on a list and use a random number generator to select the first 50 numbers

4. Asking people on the street

5. Randomly select two tables in the cafeteria and survey all the people at those two tables

Sampling Method

a. Simple Random

b. Cluster C

c. Convenience

d. Systematic

e. Stratified

The radioactive compound has a half-life of around 3.09 hours.

The period of time needed for a radioactive substance's initial quantity to decay by half is known as its half-life. The half-life of a drug may be calculated as follows if the rate of decay is proportionate to the amount of the substance existing at time t:

Let t be the half-life of the substance, then after t hours, the amount of the substance present will be,

100 mg × \(\dfrac{1}{2}\) = 50 mg.

At time 6 hours, the amount of the substance present is,

100 mg × (1 - 3%) = 97 mg.

Given that the amount of material available determines how quickly something degrades,

The half-life can be calculated as follows:

\(t = 6 \times \dfrac{50}{ 97} = 3.09 \ hours\)

Therefore, the half-life of the radioactive substance is approximately 3.09 hours.

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Answer: $24

Step-by-step explanation:

Answer:

1. 8 2/3

2. 2 4/5

Step-by-step explanation:

1: Multiple across

First, change into improper fractions

8/3 and 13/4

8 * 13 = 104

3 * 4 = 12

104/12

8 8/12

Divide each side by 4

8 2/3

2: Keep, change. flip

Keep the first fraction. Change the sign. Flip the next fraction is how you divide fractions. First, put them into improper fractions.

5 * 9 + 4 = 49/5

2 * 3 + 1 = 7/2

49/5 (divided by) 7/2

49/5 * 2/7 = 98/35

2 28/35

Divide both the 28 and 35 by 7

2 4/5

The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Total money with Kadeem  = $680

Money spent by him on a new bicycle = $470.65

Money left with him after buying a new bicycle = 680 - 470.65 = 209.35

Money spent by him on 2 bicycle reflectors = 7.87*2 = $15.74

Money left with him after buying reflectors = 209.35 - 15.74 = $193.61

Money spent by him on bike gloves = $15.18

Money left with him after buying biking outfits: 193.61 - 15.18 = $178.43

Cost of each outfit = $50.98

Let the number of outfits Kadeem can buy be x, therefore formulating the equation we get:

50.98x< = 178.43

x< = 3.5

So, Kadeem can buy 3 outfits while staying within budget

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Answer:

72°+90°+x=180°(by angle sum property 180°)

162°+x=180°

x=180°-162°

x=18°

Answer:

  19 or 26

Step-by-step explanation:

You want the value of 3n² -8n -9, given that n(n -3) = 10.

We recognize that 10 = 5·2 and that these factors differ by 3. This means n(n -3) = 10 is equivalent to saying n ∈ {-2, 5}.

The value of 3n² -8n -9 will be one of ...

  (3n -8)n -9 = (3(-2) -8)(-2) -9 = (-14)(-2) -9 = 19 . . . . for n = -2

or

  (3(5) -8)(5) -9 = (7)(5) -9 = 26 . . . . . . . for n = 5

The expression 3n² -8n -9 will be either 19 or 26.

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Answer:

10 dollars

Step-by-step explanation:

5 + 5

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

Step-by-step explanation:

Exponential equation :

\(4.096 = {4}^{6} \)

\( \: \)

Logarithmic equation :

\( {}^{4} \log(4.096) = 6\)