The price of stock A at 9 a.m. was $15.75. Since then, the price has been increase at rate of $.05 per hour. At noon , the price of stock B was $16.53. It begin to decrease at the rate of $.13 per hour. If the stock continue to increase and decrease at the same rate, in how many hours will the price of the stocks be the same?

The required equation is 0.1x²-9.5x+245=0

And, the stopping distance for the train traveling at 95 miles per hour is 245.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, given that,

Speed, x (mi/h) 50 55 60 65 70 75 80 85 90

Distance ,y (100m) 20 25 35 50 70 95 125 160 200

Now, let an quadratic equation be, ax²+bx+c=y

Putting the values of x & y we get,

2500a+50b+c=20 ....(1)

3025a+55b+c=25...(2)

3600a+60b+c=35 .....(3)

solving this we get,

a= 0.1

b=-9.5

c=245

Hence, the required equation is 0.1x²-9.5x+245=0

And, the stopping distance for the train traveling at 95 miles per hour is 245.

To learn more on function click:

brainly.com/question/21145944

#SPJ5

The statement which correctly identifies a local minimum of the graphed function is Over the interval [–3, –2], the local minimum is 0.

Local minimum value of a function is the value for which the nearby points does not have a higher value than this. This value is not necessarily the lowest value of the function.

Given that on a coordinate plane, minimum value is on the point (0, 1).

Maximum value is on the point (-1.3, 2.2).

Also we have line crosses the X axis at (-2.2, 0) and Y axis at (0, 1).

If we take the interval [-3, -2], we have the point (-2.2, 0) in between the interval, where there are no values of the function lower than 0 in this interval.

Hence in this interval, 0 is the local minimum.

Hence the correct statement is Over the interval [–3, –2], the local minimum is 0.

Learn more about Local Minimum here :

https://brainly.com/question/10878127

#SPJ1

The complete question with the options is given below :

On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).

Which statement correctly identifies a local minimum of the graphed function?

Over the interval [–3, –2], the local minimum is 0.

Over the interval [–2, –1], the local minimum is 2.2.

Over the interval [–1, 0.5], the local minimum is 1.

Over the interval [0.5, 2], the local minimum is 4

Answer:

I am pretty sure it is A because it is -5 and then +2

Step-by-step explanation:

I hope this is right

I hope this helps you...

Answer:

option A

Step-by-step explanation:

the arrow goes from 0-5 then another from 5-3

Use the GCF and the Distributive Property to find the sum. Question Help 26 + 39 Write each number as a product using the GCF as a factor, and apply the Distributive Property 26 + 39 = (Use the operation symbols in the math palette as needed. Do not simplify.)​

we have that

26=2*13

39=3*13

so

GCF=13

26+39=13(2+3)=13*2+13*3

The sum is equal to

26+39=75

Part 2

The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ1

The experimental probability is given as:

In this case the total number of trials is 18 and the number of times the event occurs is 4, then:

Therefore the probability that the next client to get a haircut have blond hair is 2/9.

Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

To know more about standard deviation,

https://brainly.com/question/23907081

#SPJ1

Answer:

Step-by-step explanation:

18 - 7x = -20.5

18 + 20.5 = 7X

38.5 = 7X

X = 38.5/7

X = 5.5

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer: D

Step-by-step explanation:

Hope it helps

Answer:

22 people

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

11/4

Applying the fractions formula for division,

11x8

4x1

Simplifying 88/4, the answer is

Answer: People attended the two performances are 683

What makes something common?

A whole number that is a factor of two or more numbers is referred to as a common factor. Example: The common factors of 30 and 20 are 2, 5, and 10. A factor that everyone whole numbers share is 1, or 1.

What is a greatest common factor?
It is the biggest number that two numbers are divisible by.

For example, if you did 12 and 24

The factors of 12 are:

1, 2, 3, 4, 6, 12

The factors of 24 are:

1, 2, 3, 4, 6, 8, 12, and 24

Their greatest common factor would be 12 since, it is the greatest number that each number can be divisible by.

Step-by-step explanation:

Number of people attend Friday event = 728
Number of people attend Saturday event = 728 - 45 = 683
Hence the answer is 683

Learn more about common factor at
https://brainly.com/question/219464

#SPJ13

Answer:

3>x

Step-by-step explanation:

Answer:

less than 3 (x < 3)

Step-by-step explanation:

The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

Leans more about price on

https://brainly.com/question/1153322

#SPJ1

The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

Answer:

y=4x^3−10x+128.805299

Step-by-step explanation:

Xmin:

-10

Xmax:

10

Ymin:

-10

Ymax:

10

Answer:

80

Step-by-step explanation:

Answer:

32:80 I Think

Step-by-step explanation:

The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

234 = (x+3)(x-2)(1)

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

For more such questions on original dimensions

https://brainly.com/question/31552973

#SPJ8

Team A performed 21 shows.

Team B performed 5 shows.

A = 4B + 1

B = A - 16

Substitute 4b + 1 for a in b = a − 16:

b = a − 16

b = 4b + 1 − 16

b= 4b − 15 (Simplify both sides of the equation)

b − 4b = 4b − 15 − 4b (Subtract 4b from both sides)

−3b = −15

−3b/−3 = −15/−3(Divide both sides by -3)

b=5

Substitute 5 for b in a = 4b + 1:

a = 4b + 1

a = (4)(5) + 1

a = 21

An equation is formed of two equal expressions. The number of concerts performed by A and B is 21 and 5, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of concerts performed by Singer A and Team B be represented by A and B, respectively.

Given that  Singer A performed more than four times as many shows during concert tours as Team B. Therefore, we can write,

A = 4B + 1

Also, the number of Singer A concert tour shows exceeded the number of shows by Team B by 16. Therefore,

A = B + 16

As we got two equations written for A, equate the two equations equal to each other as shown.

A = A

4B + 1 = B + 16

4B - B = 16 - 1

3B = 15

B = 15/3

B = 5

Now, substitute the value of B in any one of the equations of A,

A = B + 16

A = 5 + 16

A = 21

Hence, the number of concerts performed by A and B is 21 and 5, respectively.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Step-by-step explanation:

5f+2-4=2f-4f-8

CLT

5f-2f+4f=-8-2+4

7f=-6

f= -6/7

8-4m-6m=3m-4m+2

CLT

-4m-6m-3m+4m=2-8

-9m= -6

m=2/3

Answer:

On a number line, the solution x = -10 would be located to the left of the origin (0) by a distance of 10 units. So, you would mark the point representing -10 on the number line to the left of 0.

Answer:

31.4

Step-by-step explanation:

You subtract 80.00 from 48.60, and you get your answer 31.4

Answer:

128.6

Step-by-step explanation:

You have to do the inverse operation.

So you add 48.60 to each side of the equation. This cancels out the -48.60 which isolates the variable. And on the other side of the equation it leaves you with 128.6. Therefore d = 128.6

Answer:

4 dollars and 80 cents

Step-by-step explanation:

24 times 20 is 480 but its money so u would say $4.80.

i'm not sure if that is what you are looking for but i hope it is

and by the way can you mark me as brainliest

It will take the acrobat 1/4 of a second to land safely on the net.

Velocity is a physical quantity that measures the rate at which an object moves in a particular direction. It is measured in terms of distance traveled per unit of time, usually expressed in terms of meters per second (m/s). Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is an important concept in physics and is used to understand the motion of objects and forces.
The quadratic equation representing the height h of the acrobat t seconds after the jump can be written as follows: \(h=-16t^2+4t+25\).
To find the time it takes for the acrobat to land safely on the net, we need to solve for t when h=5. We can do this by substituting 5 for h into the equation and solving for t:
\(h=-16t^2+4t+25\\\\5=-16t^2+4t+25\\\\=-16t^2+4t-20=0\\\\(4+\sqrt{64})/(-32)=t\\ \\t=(4+8)/(-32)\\\\t=1/4\)
Therefore, it will take the acrobat 1/4 of a second to land safely on the net.
To know more about velocity click-
brainly.com/question/24445340
#SPJ1

Answer:

84 degrees

Step-by-step explanation:

3x = 4x - 28. Reason: Alternate Exterior Angle are congruent

X=28 Reason: Algebra

Y+4x-28= 180 Reason: Straight angles = 180 degrees

Y=84. Reason: Algebra

Answers:

=========================================================

Explanation:

Recall that

when dealing with the unit circle.

The x coordinate of the point shown is x = 5/13, which tells us that cos(A) = 5/13.

We can also see that y = 12/13 which leads to sin(A) = 12/13.

Divide sine over cosine to get tangent

tan(A) = sin(A)/cos(A)

tan(A) = sin(A) ÷ cos(A)

tan(A) = (12/13) ÷ (5/13)

tan(A) = (12/13) * (13/5)

tan(A) = 12/5

In the last step, the '13's cancel out.

Answer: 36

3 out of 12 is 1/4

so 1/4 of 144 is 36

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

For such more question on equation

https://brainly.com/question/29174899

#SPJ8

Answer:

How you solve it is you pick two points on a line and figure out their coordinates. Determine the difference in the y-coordinates of those two points. Then you also do the same thing with the x-coordinates. Then you divide the difference in the Y and X coordinates .

Step-by-step explanation:

hope this helps 100% sure though that it is right.

Answer:

hope this helps

check the picture attached for steps