An internet site sells 75 feature type cell phones. The ratio of the number of smartphones to the number of feature phones is 3:5. How many cell phones are smart phones?

The equation of the parabolic arc that accomplishes this task is:

y = (-k/256)(x - 16)² + k.

In which k is the maximum height of the arc.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, the arc has these following characteristics:

The road under the arc is 20 feet wide with a 6-foot sidewalk on both sides of the road, hence it's total length is of 20 + 2 x 6 = 32 feet, and the peak of the arc will be at h = 16.

Hence:

y = a(x - 16)² + k.

The height is of 0 at x = 0 and x = 32, hence:

0 = 256a + k.

a = -k/256

y = (-k/256)(x - 16)² + k.

In which k is the maximum height of the arc.

More can be learned about the equation of a parabola at https://brainly.com/question/24737967

#SPJ1

Independent variable = x(Cans of frozen OJ)

dependent variable = y(total cost)

Answer:

92 * 4 = 368

Step-by-step explanation:

16 boxed lunch cost $187.2.

Given that a company orders 20 boxed lunches from a deli for $234.00.

Each boxed lunch costs the same amount.

20 boxed lunches from a deli for $234

1 boxed lunches from a deli for $234/20 = $11.7

Hence the cost of 16 boxed lunch is = $11.7*16 = $187.2

To know more about Cost refer to:

https://brainly.com/question/25109150

#SPJ9

Answer:

C.

Step-by-step explanation:

Since mAB = mCD

So

3x+9 = 11x-71

9+71 = 11x-3x

80 = 8x

So

x = 10

Now

Arc AB = 3x+9

= 3(10)+9

= 39°

Since there is a 0.45 chance of winning a prize at the carnival game, the likelihood that he will win one is 0.04 out of every five games.

Probability theory, a subfield of mathematics, analyzes the likelihood that an event will occur or a statement is true. The probability of an event occurring is a number between 0 and 1, where approximately 0 indicates how unlikely the event is and 1 indicates how certain it is. A probability is a quantitative expression of the likelihood that a particular event will occur. Probabilities can also be expressed as percentages between 0% and 100% or as percentages between 0 and 1. the ratio of the total number of outcomes to the number of events in a complete collection of equally likely outcomes that result in a certain occurrence.

given

= (0.45 )* 1*5 / 5

= 0.04

Since there is a 0.45 chance of winning a prize at the carnival game, the likelihood that he will win one is 0.04 out of every five games.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

Answer:

y equals 2/3 x plus 4 is correct.

The equation y= 1/3x  + 4 represents a linear function.

A linear function is a function that can be represented by a straight line. The equation of a linear function is typically in the form y = mx + b, where m represents the slope and b represents the y-intercept.

1. 2x − 4 = 6 is a linear equation, but it is not a function because it does not isolate y.

2. x = −2" represents a vertical line with a slope of infinity, but it does not have the form y = mx + b.

3. y = 1/2x² represents a quadratic function because it contains x raised to the power of 2.

4. y= 1/3x  + 4 represents a linear function.

Therefore, the equation y= 1/3x  + 4 represents a linear function.

Learn more about Linear Function here:

https://brainly.com/question/29205018

#SPJ2

Answer:

quadrant ll

Step-by-step explanation:

the point is located in the second quadrant because the x-intercept is negative & the y- intercept is positive

Answer:

68°

Step-by-step explanation:

The situation can be represented by a right triangle with the ladder as the hypotenuse and θ as the angle between the ladder and the ground.

Using the cosine ratio in the right triangle

cosθ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{3}{8}\) , then

θ = \(cos^{-1}\) ( \(\frac{3}{8}\) ) ≈ 68° ( to the nearest degree )

Answer:

θ = 68°

Step-by-step explanation:

The side 3 is adjacent to the angle we need to find , and we know the hypothenuse so will use the cosθ function

cos θ = adj/ hyp = 3/8

To find the angle we need to apply the inverse function cos ^(-1) and use the calculator to solve it.

θ = cos ^(-1)  (3/8) = 67.97

Round to the nearest degree and will have

θ = 68°

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

To study more about Mean, Median Mode:

https://brainly.com/question/14532771

https://brainly.com/question/542771

The term below that refers to events that all have the same probability of occurring is; (2) equal probability events

By definition, we can say that the probability of occurrence of an event is defined as the number of trials in which a particular event happened divided by the total number of trials.

Probability = number of trials in which event happened/total number of trials.

Now, when we say that all items have the same probability of occurring, what we simply mean is they all have equal chance of occurrence or they all have equal outcomes. For example when we flip a coin, we have equal chance of getting a head or tail.

Thus, the term that best defines the above would be Option 2.

Read more about probability of occurrence at; https://brainly.com/question/28151602

#SPJ1

Answer:

he will have saved 45$

Step-by-step explanation:

if you take 2 from every 5 and 5 x 15 = 150, you would do 2 x 15 and get 30. So, the answer is 30$

Answer:

60

Step-by-step explanation:

turn it into a fraction.

2/5

/150

150*2=300

300/5=60

Given:

To find the value:

Substitute x=3 and y=52 we get,

Therefore, the students evaluated the expression correctly.

Answer:

Just add 5 to the other side

Step-by-step explanation:

x < 9

Answer:

I believe that her goal is 20 pages because 75% of 20 is 15.

Step-by-step explanation:

Answer: 22.4402

Step-by-step explanation:

Answer:

84.4% of 23 is 19.412.

Step-by-step explanation:

Let the unknown number be x.

Now, 84.4% of x = 19.412.

∴ (84.4 ÷ 100) × x = 19.412.

By simplifying the equation,

x = (19.412 × 100) ÷ 84.4

x = 1941.2 ÷ 84.4

∴ x = 23

Thus, 84.4% of 23 is 19.412.

To learn more about Percentages,

refer to the following question!

https://brainly.com/question/3079428

Answer:

e=h/r

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²-  delta/4a²   and   delta = b²- 4ac

in this exercice you have : a =1    b = 16   and  c=64

continu ..........

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

Learn more about Matrix property,

https://brainly.com/question/32130263

#SPJ1

The 19th term of a geometric sequence is 1048576.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

a = 4 and r = 2

The nth term of a geometric sequence.

= a\(r^{n-1}\)

Now,

The 19th term of a geometric sequence.

= a\(r^{n-1}\)

Substituting a and r values.

= 4 x \(2^{19 - 1}\)

= 4  x \(2^{18}\)

= 4 x 262144

= 1048576

Thus,

The 19th term of a geometric sequence is 1048576.

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ9

Answer:

i haven't done this in years but i'm pretty sure -19 meters

Step-by-step explanation:

Answer:

12.4

Step-by-step explanation:

i did this

Answer:

Step-by-step explanation:

In order to determine the perpendicular slope to the given line, we first need to determine the slope of the given line, which is not apparent in its current form. We need to solve the equation for y to determine the slope:

2y = 3x + 1 in slope-intercept form is

\(y=\frac{3}{2}x+\frac{1}{2}\) .  Therefore, the perpendicular slope, the opposite reciprocal of the given slope of 3/2 is -2/3. Passing through the point (3, 2):

\(y-2=-\frac{2}{3}(x-3)\) and

\(y-2=-\frac{2}{3}x+2\)  so

\(y=-\frac{2}{3}x+4\), the second choice down.

The Marginal Revenue MR(29) 11513 dollars per unit.

The velocity is v(t) = 24t² - 96t - 120.

The velocity equals zero at t = 5.

The acceleration of the particle is a(t) = 48t - 96.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

Suppose a product's revenue function is given by R(q) = -7q² + 600q,

where R(q) is in dollars and q is units sold.

We have to determine a numeric value for the marginal revenue at 29 units

As per the question we have

R(q) = -7q² + 600q

Substitute the value of q = 29, and we get

R(29) = -7(29)² + 600(29)

R(29) = 11513

Thus, the Marginal Revenue MR(29) 11513 dollars per unit

Let s(t) = 8t³ - 48t² - 120t be the equation of motion for a particle.

To find the velocity, we need to differentiate the equation for the position of the particle, s(t).

v(t) = ds/dt = d/dt (8t³ - 48t² - 120t) = 24t² - 96t - 120

To find the t-values where the velocity is equal to zero, we need to set v(t) equal to zero and solve for t.

0 = 24t² - 96t - 120

This is a quadratic equation, and we can solve for t by factoring the GCF

(t - 5)(t + 1) = 0

(t - 5) = 0 and (t + 1) = 0

t = 5 and t = -1

So the velocity equals zero at t = 5

To find the acceleration, we need to differentiate the velocity function, v(t).

a(t) = dv/dt = d/dt (24t² - 96t - 120) = 48t - 96

So the acceleration of the particle is a(t) = 48t - 96.

Learn more about Velocity here:

https://brainly.com/question/12904979

#SPJ1

The solution of the inequality in set-builder notation is {p I p ≥ 1}.

The correct option is A.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An inequality,

2(3p-11) ≥ -16

Solving the parenthesis,

6p-22 ≥ -16

6p  ≥ -16 + 22

6p  ≥ 6

p ≥ 1

Therefore, the solution is {p I p ≥ 1}.

To learn more about the inequality;

brainly.com/question/28823603

#SPJ1

Answer:

7 weeks.

Step-by-step explanation:

Divide 105 by 15, after working with all the numbers you should get 7. Your answer is 7 weeks! Hope it helped!

OwO

Question

Apply multiplication law of exponent.

The series appears to be     166, 199, 232, 265, 298, 331

With examples, define sequence?

A list of numbers in a certain order is known as a sequence. A term is the name given to each number in a sequence.

                                      In a series, each term has a place (first, second, third and so on). Take the sequence 5, 15, 25, 35, as an example. Each number is referred to as a word in the sequence.

The last number of the common difference must end in 3

And this must be a 2 digit number

So....the first number must end in 6

The the 4th number must be 265

So..... the 5th number  must end in 8

And the last digit  of the last term must end in  1  [ and begin with 3 ]

Putting all this together  we have that

265  + 2d  =  331

2d  = 66   ⇒  d = 33

So  the first term must be  265 - 3 (66)  =  166

the series appears to be     166, 199, 232, 265, 298, 331

Learn more about sequence

brainly.com/question/21961097

#SPJ4

Answer:

The bigger number is 56

Step-by-step explanation:

\(\frac{x}{y}\) = \(\frac{7}{5}\)  cross multiply

5x = 7y

y = x -16  substage x-16 in the equation above for y

5x = 7( x - 16)

5x = 7x - 112  Subtract 7x from both sides

-2x = -112  Divide both sides by -2

x = 56

Check:

y = x - 16

y = 56 - 16

y = 40

5x = 7y

5(56) = 7(40)

280 = 28

y = x - 16

40 = 45-16

40 = 40