\(c=0.5q+0.5n;q=3,n=5\)

Answer:

21.6 sq cm

Step-by-step explanation:

3:5

x:36

cross-multiply because they are in proportion

x*5=3*36

divide both sides by 5

x= 3*36/5=21.6

Answer:

43.98

Step-by-step explanation:

You have to multiply 14 times Pi which is approximately 3.14 and then round to the nearest ten.

The monitoring tools > performance monitor node supports several types of graphs when capturing performance metrics. The two graph types that are supported are line graphs and histogram graphs

The following two graph types are supported when capturing performance metrics under the Monitoring Tools > Performance Monitor node:

1. Line graph: This graph type displays data points connected by lines, making it easy to visualize trends and changes in performance metrics over time.

2. Histogram: This graph type represents data using bars, allowing you to compare the frequency or distribution of different performance metrics.

These graph types help you effectively analyze and monitor system performance using Performance Monitor.

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Answer:

is b i think

hope my answer help you

30 mph would be a safe speed for you to drive.

Collisions are much more likely to occur when one driver travels greater speedy or more slowly than the alternative motors on the road. You have to input a throughway at or near the velocity of visitors except if the speed of site visitors exceeds the prison speed restrict.

A pedestrian has a 90 percent threat of survival if hit by a vehicle transferring at 30 km ph (18.64 mph). This decreases to 70 percent at 40 kmph (24. eighty five mph) and much less than 20 percent at 50kmph (31 mph). driving at decreased speeds also enables drivers to stop within a shorter distance.

Retaining high speeds on highways is straightforward, as roads are wider and traffic is usually mild. If there are signs that show a pace restriction of 80kph, use them as a guide and stick near them. it's also an excellent exercise to assess road situations and set your pace thus.

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Answer:

Thanks for the free points...

I love school by the way

Answer:

hey

can you give me a brainliest

Step-by-step explanation:

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

According to the statement

we have given that Vertex

(h,k) = (500, 15900)

And One of the points on the graph

(x,y) = (0,8400)

FIRST PART: we have to find the quadratic function

We can find the quadratic function by parabola's equation formula

y = a (x - h)² + k  -(1)

Input the numbers to the formula, to find the value of a

y = a (x - h)² + k

8400 = a(0 - 500)² + 15900

8400 = a (500)² + 15900

8400 = 250000a + 15900

-250000a = 15900 - 8400

-250000a = 7500

a = 7500/-250000

a = 0.03

Now,

Submit a to the formula (1)

y = a (x - h)² + k

y = 0.03 (x - 500)² + 15900

this is the quadratic equation.

SECOND PART: Find the linear function

the total cost = cost each helmet × the number of helmet

y = 26x

So,

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

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Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)

x= number of helmets

y = amount in dollars

Which system models this situation?

a) y = 26x and y = 8,400(x-500)2+15,900

b) y = 26x and y = -0.030(x-500)2+15,900

c) y = x/26 and y = -0.030(x-500)2+15,900

d) y = x/26 and y =8,400(x-500)2+15,900

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Answer:

B. y = 26x and y = -0.030(x-500)2+15,900

Step-by-step explanation:

Answer:

(6, 1 )

Step-by-step explanation:

To determine which ordered pair is a solution

Substitute the x and y values into the left side of the equation and if equal to the right side then it is a solution.

(6, 1 )

3(6) + 9(1) = 18 + 9 = 27 ← Solution

(1, 8 )

3(1) + 9(8) = 3 + 72 = 75 ≠ 27

(1, 11 )

3(1) + 9(11) = 3 + 99 = 102 ≠ 27

(8, 1 )

3(8) + 9(1) = 24 + 9 = 33 ≠ 27

Then (6, 1 ) is a solution to the equation

There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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Answer:

1. Even Degree

2. 6 zeros

Step-by-step explanation:

Determine if it’s an odd or even degree:—

  - The graph is shown approach positive infinity when both sides of x-values, negative and positive, both approach their respective infinity sides.

To put it simply, see when both negative x-values and positive x-values approach their negative or positive infinity, the y-values will always be positive, even if negative x-values approach negative infinity.

For a polynomial function to be an even degree, it must satisfy the following:—

\(\displaystyle \large{ \lim_{x \to \pm \infty} f(x) = \infty}\)

As an odd degree, either negative or positive x-values will approach positive infinity or negative infinity, depending on the function itself.

From the graph, we can say that the function is an even degree.

__________________________________________________________

Summary I

  Even-Odd Degree

Even Degree, when both sides of x-value approach their respective infinity, y-value will always approach positive infinity.

Odd Degree, one side of y-value will approach positive infinity and another will approach negative infinity.

__________________________________________________________

Determine numbers of zeros:—

  - We can determine numbers of zeros by examining x-axis and the graph. How many times does the graph intersect or pass through x-axis? Count and you should get 6 intercepts.

Therefore, there are 6 real solutions/zeros for this function/equation.

__________________________________________________________

Summary II

  Determine zeros

To determine or check how many solutions or zeros do the graph/function/equation has, you can use the graph method. Simply count how many times does the graph pass through x-axis and x-intercepts are zeros.

__________________________________________________________

If you have any doubts regarding my answer or explanation, do not hesitate to ask in comment!

In the given scenario, an optical inspection system is used to classify different part types. The probability of a correct classification for any part is 0.98.

We are interested in determining the probability mass function (PMF) of the random variable x, which represents the number of parts correctly classified. Since the classifications are independent, we can use the binomial distribution to model this situation. The PMF of x is given by the binomial distribution formula: P(x) = C(n, x) * p^x * (1-p)^(n-x), where n is the number of parts inspected, p is the probability of correct classification (0.98), and C(n, x) represents the binomial coefficient.

To determine the probability mass function (PMF) of the random variable x, we use the binomial distribution formula. The binomial distribution is applicable in this case because the classifications of the parts are independent events and have a fixed probability of success (correct classification) for each trial.

The PMF of x, denoted as P(x), represents the probability of obtaining exactly x parts correctly classified out of the total number of inspected parts. It is calculated using the binomial distribution formula:

P(x) = C(n, x) * p^x * (1-p)^(n-x),

where n is the number of parts inspected, p is the probability of correct classification (0.98), C(n, x) is the binomial coefficient, and x takes on values from 0 to n.

The binomial coefficient C(n, x) represents the number of ways to choose x successes from n trials and is calculated as C(n, x) = n! / (x! * (n-x)!), where "!" denotes the factorial function.

By plugging in the given values, we can calculate the PMF for each possible value of x. For example, if three parts are inspected (n = 3), the PMF of x can be calculated for x = 0, 1, 2, and 3 using the formula above.

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To find the slope of the line tangent to the graph of y = ln(1 - x) at x = -1, we can use the derivative of the function.

The derivative of y with respect to x can be found using the chain rule:

dy/dx = d/dx[ln(1 - x)] = 1 / (1 - x) * (-1) = -1 / (1 - x)

Substituting x = -1 into the derivative, we have:

dy/dx = -1 / (1 - (-1)) = -1 / 2

Therefore, the slope of the line tangent to the graph at x = -1 is -1/2.

The correct answer is (B) -1/2.

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Answer:

1. C

2. X=8

3. The unknown number is what the bag of apples started out with

Step-by-step explanation:

Answer:

(a)  5/12

Step-by-step explanation:

to solve this problem you can make all fractions equivalent with 12 as the denominator

a) 5/12

b) 2/3 = 8/12      Multiply top and bottom by 4

c) 5/6 = 10/12     Multiply top and bottom by 2

d) 3/4 = 9/12       Multiply top and bottom by 3

if you compare numerators, the smallest one is the closest to zero, which would be (a) 5/12

Answer:

A 5/12

Step-by-step explanation:

first you need to round these all to /12 so a is 5/12

12/3 is 4 so multiply 4 by two which means b is 8/12

12/6 is 2 so multiply 5 by two which gives us c = 10/12

12/4 is 3 and multiply 3 x 3 which is 9 so d is 9/12

5 is the lowest decimal/fraction which makes it the closest to 0

The equation of tangent plane is -x + 2x - 1 = 0

Given,

r = < u² , 8usinv , ucosv >

Here,

r = < u² , 8usinv , ucosv >

Differentiate partially with respect to u and v,

\(r_{u}\) = < 2u , 8sinv , cosv >

\(r_{v}\) = < 0, 8ucosv , -4sinv >

Substitute u = 1 and v = 0

\(r_{u}\) = < 2, 0 , 0 >

\(r_{v}\) = < 0 , 8 , 0 >

Now,

N = \(r_{u}\) × \(r_{v}\)

N = \(\left[\begin{array}{ccc}i&j&k\\2&0&1\\0&8&0\end{array}\right]\)

N = -8i -j(0) +16k

N = < -8 , 0 , 16 >

Tangent plane

-8x + 16z + d = 0

Coordinates of tangent plane : <1, 0 ,1>

Substitute the values in the equation,

-8(1) + 16 (1) + d = 0

d = -8

Substitute in the tangent plane equation,

-8x + 16z - 8 = 0

-x + 2x - 1 = 0

Thus equation of tangent plane: -x + 2x - 1 = 0

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Answer: $80

Step-by-step explanation:

Let the original price of the refrigerator be represented by y.

We are told that an appliance store reduced the price of a refrigerator by 20%. This will be:

= y - (20% of y)

= y - (20/100 × y)

= y - (0.2 × y)

= y - 0.2y

= 0.8y

We are then told that the store then raised the prices by 10% from the lower price. This will be:

= 0.8y + (10% of 0.8y)

= 0.8y + (0.1 × 0.8y)

= 0.8y + 0.08y

= 0.88y

Since we told that now the price was $70.49, this means that we have to find the value of y using the above expression. This will be:

0.88y = $70.49

y = $70.49/0.88

y = $80.10

y = $80 approximately

The original price of the refrigerator is $80.

The difference between relative frequency and cumulative relative frequency is that relative frequency is the ratio of the frequency of a particular value in a dataset to the total number of values, expressed as a percentage. Cumulative relative frequency is the sum of all relative frequencies up to a certain point in the data set.

For example, if a data set has 8 values and 4 are the same, the relative frequency would be 50%. Cumulative relative frequency would be 50% at this point since it is the sum of all relative frequencies up to this point in the data set. If there were another 4 of the same values after this point, the relative frequency would remain at 50%, but the cumulative relative frequency would increase to 100% since it includes all previous relative frequencies.

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The closest to the value of b is 3.6912.

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

f(x)=a(b)^x and we know that f(3)=17 and f(7)=3156. what is the value of b

Set up both equations with values

When x = 3, f(3) = 17, so we have a(b)^3 = 17

When x = 7, f(7) = 3156, so we have a(b)^7 = 3156

Isolate a in each equation

a = 17/(b)^3

a = 3156/(b)^7

Now set them equal to each other

17/(b)^3 = 3156/(b)^7

Cross Multiply

17b^7 = 3156b^3

Divide each side by b^3

17b^4 = 3156

Divide each side by 17

b^4 = 185.6471

b = 3.6912

Therefore, the closest to the value of b is 3.6912.

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The value of the algebraic expression 2/5g + 3h - 6 if evaluated when g = 10 and h = 6 is 16.

2/5g + 3h - 6

When g = 10 and h = 6

2/5g + 3h - 6

2/5(10) + 3(6) - 6

20/5 + 18 - 6

4 + 18 - 6

16

In conclusion, the value of the expression 2/5g + 3h - 6 when evaluated is given by 16

Complete question:

Evaluate 2/5g + 2h - 6 start fraction, 2, divided by, 5, end fraction, g, plus, 3, h, minus, 6 when g=10 g, equals, 10 and h=6 h, equals, 6

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The probability of drawing two jacks in a row from a deck of 52 cards without replacement is equal to option(B) 0.005.

Total number of cards in a deck = 52

Number of Jack in deck of cards = 4

Probability of getting a jack on the first draw is

= 4/52

Now, there are only 3 jacks remaining in a deck of 51 cards.

This implies,

Probability of drawing another jack on the second draw given that the first card was a jack

= 3/51

Probability of drawing two jacks in a row,

Multiply the probability of drawing

= (a jack on first draw by another jack on second draw given first card was a jack)

⇒ P(two jacks)

= (4/52) × (3/51)

= 1/13 × 1/17

= 1/221

= 0.00452489

= 0.005 (rounded to three decimal places).

Therefore, the probability of drawing two jacks in a row is equal to option(B) 0.005.

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The probability of drawing two jacks in a row from a deck of 52 cards without replacement is equal to option(B) 0.005.

Total number of cards in a deck = 52

Number of Jack in deck of cards = 4

Probability of getting a jack on the first draw is

= 4/52

Now, there are only 3 jacks remaining in a deck of 51 cards.

This implies,

Probability of drawing another jack on the second draw given that the first card was a jack

= 3/51

Probability of drawing two jacks in a row,

Multiply the probability of drawing

= (a jack on first draw by another jack on second draw given first card was a jack)

⇒ P(two jacks)

= (4/52) × (3/51)

= 1/13 × 1/17

= 1/221

= 0.00452489

= 0.005 (rounded to three decimal places).

Therefore, the probability of drawing two jacks in a row is equal to option(B) 0.005.

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Answer:

D is the correct answer

Step-by-step explanation:

Answer:  k = 67 4/5

Step-by-step explanation:

101 3/5 =k+33 4/5

first isolate your variable by subtracting 33 4/5 from both sides

101 3/5 - 33 4/5 = k

now subtract

to subtract 4/5 from 3/5, you have to borrow 5/5 or 1 whole from 101 and add it to 3/5.  5/5 + 3/5 = 8/5.  101 - 1 = 100.

so now you have

100 8/5 - 33 4/5 = k

100 - 33 = 67

8/5 - 4/5 = 4/5

your answer is 67 4/5

Check your work.

67 4/5 + 33 4/5 = 100 8/5 simplified to 101 3/5, our starting number.

solution is true so problem solved!

To show that (x)^0 for all x in the interval of convergence, we need to select the correct answer option among (a), (b), and (c), which provide explanations for why (x)^0 holds true.

The correct answer is (a) "(x)^0 because of explanation here and 0 for all x." However, the explanation is missing from the given options, so we cannot determine the specific reasoning behind it. In general, any non-zero number raised to the power of 0 is equal to 1. Therefore, (x)^0 is equal to 1 for all x, regardless of the specific function or expression. This is a fundamental property of exponentiation and holds true for any valid value of x within the interval of convergence.

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The particle is speeding up after 1.67 seconds.

What is displacement ?

In physics, displacement refers to the distance and direction of an object's change in position from its starting point to its ending point. It is a vector quantity, which means that it has both magnitude and direction.

Displacement is different from distance, which is the total length of the path an object has traveled, regardless of direction. Displacement only considers the straight-line distance and direction between the starting and ending points.

According to given conditions :

To determine when the particle is speeding up, we need to find the acceleration of the particle.

The acceleration of the particle is given by the second derivative of its position function:

a(t) = s''(t) = 6t - 10

The particle is speeding up when its acceleration is positive. So, we need to find the values of t for which a(t) > 0.

Setting a(t) > 0, we have:

6t - 10 > 0

6t > 10

t > 10/6

t > 1.67

Since t ≥ 0, the particle is speeding up when t > 1.67.

Therefore, the particle is speeding up after 1.67 seconds.

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Answer:

Step-by-step explanation:

2(3y-8)=8

First we distribute the numbers inside the brackets, 2x3y , 2x8=

6y-16=8, then, we put the 16 on the other side which turns it positive,

6y=8+16

6y=24

y=4

Sorry for the bad explanation.

Answer:

1 7/25

Step-by-step explanation:

4/5 × 8/5 = ?

4 x 8 = 32

5 x 5 = 25

32 ÷ 25 = 1 7/25

Answer:

1.28

5/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

( 2 , - 2 )

( 3 , - 2 )

m = 0

y = - 2

The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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