Find domain and range.

The equation to show the cost of the new tiled floor is 500 + 5x.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the square foot be illustrated as x.

In this situation, Desmond is looking to purchase a new tile floor for his kitchen. The floor cost $5 per square foot of tile in addition to a $500 instillation fee.

The equation will be:

= 500 + 5(x)

= 500 + 5x

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ y ≤ - 5/6x + 2/3

Now, We can draw the graph of inequality y ≤ - 5/6x + 2/3.

Hence, The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ1

It is given that Pamela is 12 years older than Jiri.

The sum of their ages is 82.

Let the Pamela age be x.

Jiri age be y.

Then the equation formed is

Solve the above two equations and find x and y.

Now find x,

Hence the Jiri's age is 35 years.

The amount of interest earned in 10 years is $75.

So, interest earned after 2 years = $15

Therefore, the amount of interest earned in 10 years is $75.

To know more about interests rates please visit:

brainly.com/question/13324776

#SPJ10

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

Read more on quadrilaterals:

https://brainly.com/question/23935806

#SPJ1

First we need to identify if the data is qualitative or quantitative.

The data is average number of people living in the homes.

Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.

Since the average number of people can be counted and measured, the data is Quantitative.

In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.

Kira used published data that is quantitative.

Source: i found it in another brainly question which was the same as your question and was expert verified so i hope this helped

Answer:

x=10

base=4inches

height=15inches

Step-by-step explanation:

A=1/2bh

30=1/2(x-6)(x+5)

60= x²+5x-6x-30

x²-x-90=0

x²-10x+9x-90=0

x(x-10) +9(x-10)=0

(x+9)(x-10)=0

x= -9 or 10

x cannot be negative

Therefore x= 10

base= 10-6

=4inches

height=10+5

=15inches

Answer:

I'm pretty sure its not proportional, because if you divide 8 and 4  you get a half, however when you divide 100 and 75 you get 1.333333.

Step-by-step explanation:

I'm sorry if this is wrong I haven't done this in a while....

The estimated probability that all four randomly selected young American men are 68 inches or shorter is approximately 0.004 or 0.4%.

To calculate the probability that all four randomly selected young American men are 68 inches or shorter, we need to consider the probability for each individual man and multiply them together.

Let's assume that the probability of an individual young American man being 68 inches or shorter is p. Since we are selecting four men at random, the probability of each man being 68 inches or shorter is the same, and we can multiply their probabilities together.

The probability of one man being 68 inches or shorter is p. Therefore, the probability of all four men being 68 inches or shorter is p × p × p × p = p^4.

However, we are not given the specific value of p in the problem statement. If we assume that the height of young American men follows a normal distribution, we can look up the corresponding z-score for a height of 68 inches or shorter and use the standard normal distribution to estimate the probability.

For example, if we find that a height of 68 inches corresponds to a z-score of -1.0, we can use a standard normal distribution table or a calculator to determine the probability of a z-score less than or equal to -1.0. Let's say this probability is approximately 0.1587.

Therefore, the estimated probability that all four randomly selected young American men are 68 inches or shorter would be (0.1587)^4 = 0.004.

Thus, the probability is approximately 0.004 or 0.4% rounded to three decimal places.

For more such questions on probability visit:

https://brainly.com/question/30768613

#SPJ8

Answer: 25.08%

Step-by-step explanation:

Given: Distance traveled by each volunteer driver is normally distributed.

Mean (\(\mu\)) = 50 thousand miles

standard deviation (\(\sigma\))=  12 thousand miles

Let X = distance traveled by each volunteer driver

Required probability : \(P(X<30)+P(X>60)\)

\(=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}]\)

Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%

The value of x shown in the right angled triangle is 15.9 units

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Pythagoras theorem shows the relationship for the sides of a right angled triangle. It is given by:

Hypotenuse² = Adjacent² + Opposite²

From the diagram, substituting:

17² = x² + 6²

x² = 17² - 6²

x² = 253

x = 15.9 units

The value of x is 15.9 units

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

P(A) is the likelihood that a six-sided die will produce an even number when rolled (2, 4, or 6).

P(B) is the likelihood that a six-sided dice will land on four.

P(A) = 3/6 = 1/2

P(B) = 1/6

The probability of rolling an even number followed by a four, or P(C), equals P(A) * P(B) = 1/2*1/6 = 1/12 = 0.083 since events A and B are independent of one another.

With a six-sided die, there is a roughly 0.83*100 or 8.3% probability of rolling an even number (2, 4, or 6), followed by a four.

Know more about probability

https://brainly.com/question/13604758

#SPJ4

Part a: Ignoring those that are bigger than 4.

Part b: labeling the random number.

Part c: conclusion, Claire should plan to purchase 12 boxes.

Part a: random number table;

Part b: labeling the random number.

7318495907 05179 51002(10 boxes) 8337452297 07769 99792 78365 9348772753 36216 (15 boxes) 07230 35793 71907 65571 66784(10 boxes) 25548 91861 15725.

Part c: conclusion,

On average, Claire should plan to purchase 12 boxes.

To know more about the random number table, here

https://brainly.com/question/11809277

#SPJ4

Maria should move left, half of the division between 0 and -1, and from there, move two divisions or labels upwards.

The point Maria says cannot be plotted is point (-0.5, 2).

The axes label on the coordinate plane Maria is using = Integers.

Given that

Maria is using a coordinate plane with the axes labeled only with integers.

She says that the point (-0.5, 2) cannot be plotted because halves are not numbered on the x-axis.

According to the question

The axes label on a coordinate plane is marked according to the variable associated with the axes.

The values on the axes are presented using appropriate scales, marked as divisions that represent units of measure, such that the quantities which each division of the axis represents are made clear.

Point to be marked on the coordinate plane =(-0.5,2)

As points on both the X and Y axis are integers only.

To mark, -0.5, mark a line between, 0 and -1, which will be,-0.5.

You can mark, any terminating decimal on the number line, which is marked with integers only.

Terminating decimals are those decimals having in the denominator of a fraction.

The ordered pair of points enclosed in parenthesis consist of the x-value located on the left and the value of y is given by the value on the right of the ordered pair.

In the coordinate plane, Maria is using, a division on the coordinate axis represents a unit integer, therefore, to locate a point that is negative half (-0.5) of an integer, Maria has to move left a distance that is half the distance between two points.

Hence, Maria should move left, half of the division between 0 and -1, and from there, move two divisions or labels upwards.

To know more about Co-ordinate click the link given below.

https://brainly.com/question/14648493

sorry I'm late

You can plot points that contain decimal numbers on a coordinate plane even if only integers are labeled on the axes. To plot (−0.5, 2), start at the origin and move left 0.5 units. This will be halfway between −1 and 0. Then move up 2 units and plot a point.

Explanation: It's the Sample Response

In complex number,  that x ranges from -5 to -1/2 and the correct option is (-∞, -1/2)

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation \({\displaystyle i^{2}=-1};\)

every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes.

Given that,

|P| = 3x + 2

|Q| = 2x + 1

P+Q = -2

We know that, from Cauchy inequalities

|P| + |Q| > |P+Q|

3x + 2 + 2x + 1 > - 2

5x + 3 > - 2

subtract both side by 3

5x > -5

Divide both side by 5

x > -1 first condition

Note that,

|P| > 0

Then,

3x + 2 > 0

3x > -2

x > -2/3

Also,

|Q| > 0

2x + 1 > 0

2x > -1

x > -1/2

So, comparing the three conditions

We see that x ranges from -5 to -1/2, this range covers all the other ranges

To learn more about complex number visit:

brainly.com/question/20566728

#SPJ1

Step-by-step explanation:

Length of truck = y

y = 90 + 0.75(90)

y = 90 + 67.5

y = 157.5

The truck is 157.5 inches long.

Hope this helps!

The braking distance is the distance the car travels before coming to a stop after the brakes are applied

a. The braking distances are as follows;

b. If the car takes 450 feet to brake, it was traveling with a speed of 98.211 ft./s

Reason:

The given function for the braking distance is D = 2.6 + v²/22

a. The braking distance if the car is going 25 mph is therefore;

25 mph = 36.66339 ft./s

\(D = 2.6 + \dfrac{36.66339^2}{22} = 63.7 \ ft.\)

At 25 mph, the braking distance is approximately 63.7 ft.

At 55 mph, the braking distance is given as follows;

55 mph = 80.65945  ft.s

\(D = 2.6 + \dfrac{80.65945^2}{22} \approx 298.35 \ ft.\)

At 55 mph, the braking distance is approximately 298.35 ft.

At 85 mph, the braking distance is given as follows;

85 mph = 124.6555 ft.s

\(D = 2.6 + \dfrac{124.6555^2}{22} \approx 708.92 \ ft.\)

At 85 mph, the braking distance is approximately 708.92 ft.

b. The speed of the car when the braking distance is 450 feet is given as follows;

\(450 = 2.6 + \dfrac{v^2}{22}\)

v² = (450 - 2.6) × 22 = 9842.8

v = √(9842.2) ≈ 98.211 ft./s

The car was moving at v ≈ 98.211 ft./s

Learn more here:

https://brainly.com/question/18591940

To approximate the integral of the function f(x) = 2x + 1 using the Composite Simpson's rule with n = 6, we divide the interval into six equal subintervals, calculate the function values at the subinterval endpoints, and apply Simpson's rule within each subinterval.

To apply the Composite Simpson's rule, we divide the interval of integration into six equal subintervals. Let's assume the interval is [a, b]. We start by finding the step size, h, which is given by (b - a) / n, where n is the number of subintervals. In this case, n = 6, so h = (b - a) / 6.

Next, we evaluate the function f(x) = 2x + 1 at the endpoints of the subintervals and calculate the corresponding function values. For each subinterval, we apply Simpson's rule to approximate the integral within that subinterval.

Simpson's rule states that the integral within a subinterval can be approximated as (h / 3) * [f(a) + 4f((a + b) / 2) + f(b)]. We repeat this calculation for each subinterval and sum up the results to obtain the approximation of the integral.

In the case of the function f(x) = 2x + 1, the integral can be computed analytically as x^2 + x + C, where C is a constant. Therefore, we can find the exact value of the integral over the given interval by evaluating the antiderivative at the endpoints of the interval and taking the difference.

Visit here to learn more about integral:

brainly.com/question/30094386

#SPJ11

Answer:

Look at photo

Step-by-step explanation:

Answer: 16

Step-by-step explanation: 16%x1=.16 meters, then multiply by 100 to get 16 centimeters.

The radius x of the cylinder with a volume of 9000cm³ and height 12cm is approximately 15.4 cm.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi.

From the diagram:

Volume V = 9000 cm³

Height h = 12 cm

Radius r = x

To find the radius x, plug the given values into the above formula and solve for x:

V = π × r² × h

9000 = π × x² × 12

9000 = 12π × x²

x² = 9000 / 12π

x² = 238.73

x = √238.73

x = 15.4 cm

Therefore, the value of is 15.4 cm.

Option B) 5.4 cm is the correct answer.

Learn more on volume of cylinder here: brainly.com/question/16788902

#SPJ1

Answer:

  56.3 units

Step-by-step explanation:

You want the side opposite a 102° angle in a triangle with a side of length 27 opposite a 28° angle.

The law of sines tells you side lengths are proportional to the sine of the opposite angle.

  b/sin(102°) = 27/sin(28°)

  b = 27(sin(102°)/sin(28°)) ≈ 56.3

The length of side b is about 56.3 units.

__

Additional comment

The side labeled b is not the "hypotenuse" in this triangle. The term "hypotenuse" is reserved for the long side of a right triangle.

<95141404393>

Answer:

x = 2

Step-by-step explanation:

180= 90 + 57 + Z

Z = 180 - 90 - 57

Z = 33

33 = 7X + 19

7X = 33 - 19

7X = 14

X = 2

Answer:

Step-by-step explanation:

The equation x^2 + kx + 5 = 0 has real roots if and only if the discriminant b^2 - 4ac is greater or equal to zero.

In this case, the discriminant is k^2 - 415 = k^2 - 20.

So we know that k^2 - 20 >= 0

therefore k >= sqrt(20) or k <= -sqrt(20)

Two positive values of k are:

k = sqrt(20)

k = sqrt(20) + n, where n is an integer greater than 0

Please note that this is an algebraic solution and doesn't account for any other possibilities that the problem or context may have.

There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

To know more about types of sampling visit :

https://brainly.com/question/12902833?referrer=searchResults

#SPJ4

Answer:

x(x+3)(x-2)

Step-by-step explanation:

i hope this helps :)