A model of a skyscraper uses the scale of 2 inches = 45 feet. If the actual skyscraper is 992 feet tall, how tall is the model?

The ordered pair that does not represents a function is as follows:

{(1,−8),(8,−2),(−7,−4),(−7,3)}

A function relates an input to an output.

A function relates each element of a set with exactly one element of another set (possibly the same set).

A function is defined with a domain (the set of input values that it takes) as well as a codomain or range (the set of possible values it can return).

A function has to return a value for each element of the domain.

Therefore, the ordered pair that does not represents a function is as follows:

{(1,−8),(8,−2),(−7,−4),(−7,3)}

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Each decision variable must be non-negative in the optimal solution.

According to this restriction or constraint, x11, x12, x21, and x22 must all be bigger than zero. They cannot, therefore, be negative numbers. All the variables would have to be positive values if the limitation had been > (greater than). However, since it is (more than or equal to), the choice of 0 is acceptable.

The function \(f(x_{1} ,x_{2} ,....)=x_{1} ^{2},x_{2} ^{2} ......\) is always positive except at the origin where it is equal to zero. This means that the absolute minimum of this function must be a = 0 . Absolute maximum is when all of the variables are equal to zero except \(x_{1}\) which is equal to 1 (f evaluated at this point is equal to 1 do b=1). The function itself is then equal to 1. This is because when \(f(.....) = x_{1} ^{2} +x_{2} ^{2} .....\leq x_{1} ^{2} +2x_{2} ^{2}+3x_{3} ^{2} ....\leq 1\)

so it is at most equal to 1 and this happens exactly at the point

\((x_{1} ,x_{2} ,x_{3} .....) = (1,0,0...)\)

Therefore,

Each decision variable must be non-negative in the optimal solution.

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Answer:

I and IV

Step-by-step explanation:

Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

The maximum of a function is at x = -b/2a

i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 16 = 16 > 15

Also f(7) = - (7 - 3)² + 16 = 0

Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

f(4) = -4² + 8(4) - 7 = 9 < 15   not correct

Also f(7) = - 7² + 8(7) - 7 = 0

Hence this option is not correct since the maximum f(4) = 9 < 15  

iii)  f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x)  = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3)² + 6(3) + 7 = 16 > 15

Also f(7) = - (7)² + 6(7) + 7 = 0

Hence this option is correct

Answer:

The linear equation relating price to demand is Q=-0.5*P + 30

Step-by-step explanation:

The demand for a good is the quantity of that good that the demanders are willing to purchase at a given price.

Then, the Demand Curve relates the quantity that a consumer would be willing to buy as a function of price.

You seek to determine the linear equation that relates the price to the demand Q = m * P + b where Q is the quantity demanded at a price P, and compared with the equation of the straight line y = mx + b, m is the slope and b is the ordinate to the origin.

On a line of the form y = m * x + b, the value of m, having two points, is calculated by:

\(m=\frac{y2-y1}{x2-x1}\)

And the ordinate to the origin b is calculated, taking the value of m, replacing any of the two points (replacing any of the two because it must give the same value of b) in the expression y = m * x + b and solving its value.

In the case of Q=m*P+b, the value of m, having two points, is calculated by:

\(m=\frac{Q2-Q1}{P2-P1}\)

Being:

and replacing:

\(m=\frac{10-5}{40-50}\)

you get:

m= -0.5

So, being Q=-0.5*P+b,  b is calculated by:

5= -0.5*50 + b → 5= -25 + b → 5+25= b → b= 30

10= -0.5*40 + b → 10= -20 + b → 10+20= b → b= 30

Then, the linear equation relating price to demand is Q=-0.5*P + 30

Answer:

4 eggs

Step-by-step explanation:

Answer:16

Step-by-step explanation: I took the same quiz

Answer:

\(\text{B}) \text{ } -3 < x < -1\\\text{D}) \text{ } 2 < x < \infty\)

Step-by-step explanation:

The graph lies below the x-axis.

Answer:

-4

Step-by-step explanation:

plugging negatibve one in we get

4(1)+1-9= 5-9= -4

if my answer helps please mark as brainliest.

Answer:

12 days

Step-by-step explanation:

'd' = number of days

1/20d ≤ 3/5

multiply each side by 20 to get:

d ≤ 60/5 or d ≤ 12

Using proportions, it is found that the inflation rate was of 5.7%.

The inputs to the table will be given as follows:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The inflation rate is found by the proportion of the 2016 CPI to the 2014 CPI, hence:

185/175 - 1 = 1.057 - 1 = 0.057.

The inflation rate was of 5.7%.

To find the amounts that complete each table, we have to find the 2014 table, and multiply the amounts by 1.057, hence:

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Answer:

\(-\left(6p-4\right)=\frac{48p}{16p}\)

\(\frac{48p}{16p}=3\)

\(-\left(6p-4\right)=3\)

\(\frac{-\left(6p-4\right)}{-1}=\frac{3}{-1}\)

\(6p-4=-3\)

\(6p-4+4=-3+4\)

\(6p=1\)

\(\frac{6p}{6}=\frac{1}{6}\)

\(p=\frac{1}{6}\)

Answer: 8

Step-by-step explanation:

Answer:

slope = 16/13, increasing

Step-by-step explanation:

solve for the slope

-1.2-(-2.8)/(6.4-5.1)

= 16/13

it's positive meaning it's increasing

Answer:

8 class tickets is the correct answer

Answer:

The motorist's rate is:

rate = distance / time

where distance is measured in kilometers and time is measured in hours.

We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:

rate = distance / time = 228 km / 6 hours = 38 km/hour

To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:

time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours

Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.

Answer:

It is not rational

Step-by-step explanation:

Given

\(\sqrt 3 * 2.8\)

Required

Rational or Irrational

\(\sqrt 3 * 2.8\)

\(\sqrt 3 =1.73205\)

So, we have:

\(\sqrt 3 * 2.8 = 1.73205 * 2.8\)

\(\sqrt 3 * 2.8 = 4.84974\)

The result of the product: 4.84974  is not rational because it can not be represented as a fraction of two integers.

Answer:

A line has a slope of 2/3 and y–intercept -2. The equation of the line is y = (2/3)x - 2.

Step-by-step explanation:

Hope this helps

Answer:

y = (2/3)x - 2

Step by step explanation:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

Given, slope of the line is 2/3

y-intercept is -2.

The equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope

c is the y-intercept.

y = (2/3)x - 2

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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Answer:

.aabc=amn0#1211

Step-by-step explanation:

nosascoOsasco n=12.8

Answer:

The solution is:

z (max ) =  446.25 $

x₁  =  55     x₂  =  0    x₃  = 5     x₄  =  70  

Step-by-step explanation:

From problem statement:

                     Nacholupa       Quesatilla      Enchinacho    Burritaco

                           x₁                        x₂                     x₃                   x₄

Cheese               2                         4                      2                    4

meat                   0                          2                     2                     2

beans                  4                         0                      2                     0

Tortillas               3                          1                      3                     1

Price $               2.75                      2                      3                     4

From table :

    z =   2.75*x₁  + 2*x₂  + 3*x₃  + 4*x₄   to maximize

Subject to:

Availability of cheese: 400 ou

2*x₁  +  4*x₂  +  2*x₃  +  4*x₄  ≤ 400

Availability of meat  :  150 ou

             2*x₂  +  2*x₃  +  2*x₄ ≤  150

Availability of beans :  400 ou

   4*x₁             + 2*x₃               ≤  400

Availability of tortillas :   250

3*x₁  +  x₂   +  3*x₃  +  x₄   ≤ 250

General constraints:

x₁ ≥  0             x₂  ≥  0              x₃  ≥  0              x₄  ≥ 0

All integers

With the use of AtomZmath  ( integer solving on-line software )

The solution is:

z (max ) =  446.25 $

x₁  =  55     x₂  =  0    x₃  = 5     x₄  =  70  

Answer:

I think it's answer is 300

Answer:

--------------------------------------

Vertex form of a quadratic function:

Given (h, k) = (-2, -13) and a point (0, - 5).

Substitute all into equation and solve for a:

The parabola is:

Convert it to the standard form:

Answer:

\(f(x)=2x^2+8x-5\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given:

Substitute the given vertex and point into the Vertex formula and solve for a:

\(\implies -5=a(0-(-2))^2+(-13)\)

\(\implies -5=a(0+2)^2-13\)

\(\implies -5=4a-13\)

\(\implies 4a=8\)

\(\implies a=2\)

Substitute the given vertex and found value of a into the Vertex formula:

\(y=2(x+2)^2-13\)

The standard form of a quadratic function is  f(x) = ax² + bx + c

Expand the function in vertex form to standard form:

\(\implies y=2(x^2+4x+4)-13\)

\(\implies y=2x^2+8x+8-13\)

\(\implies y=2x^2+8x-5\)

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: All you have to do is 16 divided by 80 which is 0.2. 0.2 as a decimal is 20%.

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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Answer:

Step-by-step explanation:

400 - 150 = 250 and 400 - 200 = 200, so it could be D or C. You can choose which one you want to use.

a) The value of x is 42.6 when k =16/3 is directly proportional to y.

b) The value of x is -56 when k is -7  is directly proportional to y.

What kind of variation is one where x and y are directly proportional?

x varies directly as y

x α y

x = ky

a) x=6 ; y = 32

x = ky

6 = k(32)

k = 16/3

if y = 8

then,

x = (16/3) * 8

= 128/3

x = 42.6

Hence, the value of x is 42.6 when k =16/3 is directly proportional to y.

b) x= 14 and y = -2

x = ky

14 = k(-2)

k = -7

if y = 8

then,

x = ky

x= (-7) 8

x = -56

Hence, the value of x is -56 when k is -7  is directly proportional to y.

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Answer:

Greatest digit: 8872.

Smallest digit:2278.

9514 1404 393

Answer:

Step-by-step explanation:

Greatest

The greatest possible number is created by putting the greatest allowable digit in the space available that has the highest possible place value. Here, the greatest digit is 8, and the highest place value of a 4-digit number is the thousands place: 8000. Once you have filled that place, you can use the digit 8 one more time in the hundreds place: 8800.

Now, the greatest digit available is the digit 7, and the left-most place you can put it is the tens place: 8870. Finally, the only digit and place available are the digit 2 and the ones place.

Your greatest 4-digit number is 8872.

Smallest

To form the smallest number, you use a similar process, filling places in the number from left to right with the smallest allowable digit. The smallest digit, 2, is allowed twice, so the smallest number that can be formed is 2278.

Find the surface area of the sphere in terms of π 7 yd.

We know,

\( \dag \) Formula of Surface area of the sphere is 4πr².

Radius (r) = 7 yd (Given)

Now,

Surface area of the sphere = 4 × π × (7)²

Surface area of the sphere = 4 × π × 7 × 7

Surface area of the sphere = 196π sq. yd.