0.22, 21%,0.21, 0.22 from least to greatest

Answer:

22ft

Step-by-step explanation:

Always good to try and draw out the scenario, it can make it more easily understandable.

Have a look at the pic.

Hope its clear.

The actual dimensions of the figure is 3.9 x 2.1

Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.

For example, Two spheres look similar but could have different radii.

For the first dimension of 7.8 cm, we can set up a proportion using the scale factor:

2 cm : 1 m = 7.8 cm : x

where x is the actual length we want to find.

Solving for x, we get:

x = (7.8 cm x 1 m) / 2 cm

x = 3.9 m

Therefore, the first actual dimension is 3.9 meters.

For the second dimension of 4.2 cm, we can use the same method:

2 cm : 1 m = 4.2 cm : y

where y is the actual width we want to find. Solving for y, we get:

y = (4.2 cm x 1 m) / 2 cm

y = 2.1 m

Therefore, the second actual dimension is 2.1 meters.

So the actual dimensions of the figure are 3.9 meters by 2.1 meters.

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The probability that an incoming call is for firefighting equipment (or any other reason besides medical assistance) is 0.33 or 33%.

The statement "the probability that an incoming call is for medical assistance is 0.67" can be expressed as:

P(Medical Assistance) = 0.67

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.67 or 67%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P(Not Medical Assistance) = 1 - P(Medical Assistance) = 1 - 0.67 = 0.33

In science, the probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability

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Answer:

Step-by-step explanation:

(227-127)/4=x

"/" means divide.

To find the x-intercepts of a rational function of the form f(x) = p(x)/q(x), we set p(x) = 0 and solve for x. To find the vertical asymptotes, we set q(x) = 0 and solve for x.

Vertical asymptotes are vertical lines that a function approaches but never touches or crosses as the independent variable (usually denoted as x) approaches a certain value.

To find the x-intercepts of the function, we need to set the numerator of the rational function equal to zero and solve for x. This is because x-intercepts occur when the function value is equal to zero. Therefore, we can write:

p(x) = 0

Solving this equation will give us the values of x where the function intersects the x-axis. It is important to note that if p(x) has a degree greater than or equal to q(x), then the function will have a slant asymptote instead of a vertical asymptote.

To find the vertical asymptotes of the function, we need to look at the denominator of the rational function. Vertical asymptotes occur when the function approaches infinity or negative infinity as x approaches a certain value. In the case of a rational function, this happens when the denominator is equal to zero. Therefore, we can write:

q(x) = 0

Solving this equation will give us the values of x where the function has a vertical asymptote. It is important to note that if the degree of q(x) is greater than the degree of p(x), then the function will have a horizontal asymptote instead of a vertical asymptote.

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The speed at which Ken should run to overtake Joe by 7.30 is 9mi/h.

What is meant by the speed of an object?

The size of a change in an object's position over time is measured by its speed. The rate at which an object travels a distance can be thought of as its speed. A fast-moving object travels at a high speed and completes a significant distance in a brief period of time. This is in contrast to an object travelling slowly, which travels a relatively short distance in the same length of time. It is a scalar value.

Given,

Time at which Joe starts jogging  = 7 am

Time at which Ken starts jogging = 7.10 am

Speed of Joe = 6mi/h

Let Speed of Ken required to overtake Joe = x mi/h

Since Ken has to overtake Joe by 7.30, both will have travelled the same distance by 7.30.

Time taken by Ken to cover the distance = 7.30 - 7.10  20 minutes = 20/60=1/3 h

Time taken by Joe to cover the distance = 7.30 - 7 = 30 minutes = 1/2 h

Distance = speed * time

Both cover the same distance.

6 * 1/2 = x * 1/3

x = 9 mi/h

Therefore the speed at which Ken should run to overtake Joe by 7.30 is 9mi/h.

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Answer:yes

Step-by-step explanation:correct becuase

Answer:

Answer is ADB

Step-by-step explanation:

I believe that's the answer

Answer:

A parallelogram is a quadrilateral with 2 pairs of parallel sides

The value of z in the triangle using trigonometric ratio is; z = 10.90

The three basic trigonometric ratios from which others are derived are;

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

From the diagram, we can easily see that z is the opposite side of the given angle and 13 is the hypotenuse. Thus;

z/13 = sin 57

z = 13 * sin 57

z = 13 * 0.83867

z = 10.90

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Answer:

13 or 17

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

Given numbers:

Put them in the ascending order:

Let the possible number to be added be x.

Since x is the median, it should be between 13 and 17:

Also x is the mode. As we see all 6 number are unique, x should be repeat of 13 or 17 in order to be a mode. Therefore the possible number that can be written on the blank card is either 13 or 17.

Answer:

x = 20

Step-by-step explanation:

since the 3 sides of the triangle are congruent then it is equilateral with 3 congruent angles, each of 60° , then

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

20

Step-by-step explanation:

We know that sum of corner of a triangle is 180° and if the triangle is equilateral, the corners are same

180:3=3x

60=3x

x=20

The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in

(4 choose 3) = 4 ways.

The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in

(6 choose 3) = 20 ways.

Therefore, the probability that there will be no graduate students on the subcommittee is:

Number of subcommittees with only undergraduate students / Total number of possible subcommittees

= 4 / 20

= 1/5

= 0.2

So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

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To check if a curve represents a function, draw vertical lines all over the graph intersecting the curve at different regions.

Now, check how many times a line cuts the curve, if all the vertical lines cuts the curve at a single point then it represents a function, and if the vertical line cuts the curve at more than one point, then its not a function.

By keeping the above instructions in mind, conclusion can be made that :

Functions : (i), (ii), (iii), (iv) and (vi)

Non function : (v) and (vii)

Answer:

The average rate of change of a function over an interval is a measure of how the function's value changes over that interval, given by the ratio of the change in the function's value to the change in the independent variable. To find the average rate of change of a function over an interval, we need to know the function's values at two points in the interval.

In the case of the function f(x) = x^2, the interval is -4 ≤ x ≤ 0. To find the average rate of change, we need to find the difference in the function's value between two points in this interval, and divide that by the difference in the x-values.

For example, if we compare the values of the function at x = -4 and x = 0, we have:

f(-4) = (-4)^2 = 16

f(0) = 0^2 = 0

The difference in the function's value is f(0) - f(-4) = 0 - 16 = -16.

The difference in the x-values is x2 - x1 = 0 - (-4) = 4.

So the average rate of change over this interval is the difference in the function's value divided by the difference in the x-values, or -16 / 4 = -4.

In other words, the average rate of change of the function f(x) = x^2 over the interval -4 ≤ x ≤ 0 is -4, meaning that for every 4 units of change in x, the function value decreases by 16 units.

Step-by-step explanation:

Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is 120 feet, which can be calculated by adding up the lengths of all four sides: (40 + 20 + 40 + 20) feet = 120 feet.

Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is indeed 120 feet. To calculate the distance around the pool, we need to add up the lengths of all four sides, which are equal in length. In this case, the length and width of the pool are both 40 feet and 20 feet, respectively. So, to find the distance around the pool, we add up these four lengths:

40 feet + 20 feet + 40 feet + 20 feet = 120 feet

Therefore, the total distance around the pool is 120 feet.

To determine the distance around the pool, Brianna needs to measure the length and width of the pool. If the pool is rectangular, she can measure the length and width and add up the lengths of all four sides to find the total distance around the pool. If the pool is a different shape, Brianna would need to measure the lengths of each side and add them up to find the total distance around the pool. This information can then be used to calculate the amount of stone needed for the edging around the pool. By knowing the total distance around the pool, Brianna's parents would have a good estimate of how much stone they need to buy for the edging, which is typically sold by the linear foot.

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The complete question is:

In the backyard, Brianna's parents constructed a swimming pool. The pool's circumference, according to Brianna, is 120 feet.

40 Ft

20 Ft

1. Is she correct? Explain why or why not. (You must mention the following in your explanation: If she is right, demonstrate the steps she took to determine the pool's circumference. Determine the right distance and demonstrate all effort if she is mistaken.)

2. So that her parents will know how many feet of stone to purchase for the pool's edging, describe (using words this time) how Brianna would calculate the distance around the pool.

The range of values for the third side must be 5 < C < 13 this means that the third side must be a value greater than 5 and less than 13.

What is triangle?

A triangle is a two-dimensional geometric shape with three sides and three angles. It is a basic polygon and one of the simplest shapes in geometry. Triangles come in different types based on the length of their sides or the measure of their angles, such as equilateral triangles (all sides are equal), isosceles triangles (two sides are equal), scalene triangles (no sides are equal), right triangles (one angle measures 90 degrees), and obtuse triangles (one angle measures greater than 90 degrees).

The third side of a triangle must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, for a triangle with sides A, B, and C, we have:

                                    A + B > C

                                    B + C > A

                                    A + C > B

For the given sides of 8 and 5, the range of values for the third side can be found by considering the two inequalities:

                                    5 + C > 8

                                     8 + C > 5

Adding the two inequalities, we get:

                        13 > C

So the range of values for the third side must be:

                         5 < C < 13

This means that the third side must be a value greater than 5 and less than 13.

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Completing the equation below by writing an expression equivalent to the length of a, the leg of a right triangle is given below

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Hence, the complete equation according to this theorem is given above.

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nonononononononnnono

The cost of one ounce of chocolate cream at Philadelphia according to the cost in pound will be $0.47.

We are aware of the fact that 1 pound is equal to 16 ounces. So, the cost of one pound will be the cost of 16 ounces. Representing this information in ounces and expression -

Cost of 1 pound = 7.52

Rewriting the equation according to ounce

Cost of 16 ounces = 7.52

So, cost of 1 ounce = 7.52/16

Performing division on Right Hand Side of the equation

The cost of one ounce = 0.47

Therefore, the cost of one ounce will be $0.47.

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Answer: 1.08g

Step-by-step explanation:

Concentration = Moles/ Volume

Moles = Concentration x Volume

Moles = 0.048 x 250/1000

Moles= 0.012

Moles= Mass / Relative Formula Mass

Mass = Moles x Relative Formula Mass

Mass = 0.012 x 90

= 1.08g

If you were to  graph a sine function from the data listed in the table the days since Jan 8 is an independent variable and amount of moon visible is dependent variable

Given that, we have to graph a sine function from the data listed in the table

From the table we can see that there a two types of variables, The days since the Jan 8 and the amount of moon visible

The independent variable is defined as the variables that does not depends on any other variables

The dependent variable is defined as the variables that depends on other variables

Here the days since the Jan 8 does not depends on any other variables, so it is an independent variable. similarly the amount of moon visible depends on the days since Jan 8 value, so it is a dependent variable

Therefore, the days since Jan 8 is an independent variable and amount of moon light visible is dependent variable

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The given question is incomplete, the complete question is :

if you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?

A general formula to describe is F = 1.6×d² will be correct answer.

A relationship is considered proportional if the ratio remains constant. For instance, the average number of apples produced per tree is a measure of proportionality, and the number of trees in an orchard is inversely related to the number of apples produced in a harvest. When two quantities are proportionate with one another, then expand and contract at the same pace, keeping the relationship constant.

Finding the general formula we obtain:

F=kd²

40=k×5²

k=1.6

so, F =1.6×d².

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Jane would take 5 hours painting the window so both of them could end up charging the same amount

An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.

Let y represent the total charge for working x hours.

Suzie has quoted a flat rate of $250 for the job. For Suzie:

y = 250

Jane's quote is $40 per hour, plus $50 to cover the cost of materials. For Jane:

y = 40x + 50

For the two to charge the same amount:

250 = 40x + 50

40x = 200

x = 5 hours

Jane would spend 5 hours painting the window.

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a. The projectile will be at a height of 576 ft above the ground after 1.43 seconds and after 5.56 seconds.

b. The projectile will crash on the ground after 9.84 seconds.

The solution has been obtained by solving the equation.

What is an equation?

A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality.

We are given an equation as h = -16t² + v₀t + 448

Also v₀ is given as 112.

a. In order to find the time (t) the projectile will be at a height of 576 ft above the ground, we need to substitute h = 576 and v₀ = 112.

On substitution, we get

⇒h = -16t² + v₀t + 448

⇒576 = -16t² + 112t + 448

⇒36 = -t² + 7t + 28                (On dividing both sides by 16)

⇒0 = -t² + 7t - 8  

⇒t² - 7t + 8 = 0  

On solving the equation using the quadratic equation formula, we get

t = (7 ± √49 - 32)/2

t = 1.43 or 5.56

So, it will be at height 576 ft after 1.43 seconds and after 5.56 seconds.

b. Similarly, now we will put h = 0 and v₀ = 112.

Now, we get

⇒0 = -16t² + 112t + 448

⇒t² - 7t - 28 = 0                (On dividing both sides by 16)

On solving the equation using the quadratic equation formula, we get

t = (7 ± √49 + 112)/2

t = 9.84 or -2.84

Since, time cannot be negative, so it will crash after 9.84 seconds.

Hence, the projectile will be at 576 ft after 1.43 seconds and after 5.56 seconds and will crash on the ground after 9.84 seconds.

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The correct option is B, the system of equations has infinitely many solutions.

When we graph a system of equations, the points where the graphs of the equations intercept are the solutions.

In this case we can see a single line graphed, which only can happen when both equations of the system represent the exact same line.

Then the graphs intercept at infinite points, thus, the system of equatios has infininitely many solutions.

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Answer: The answer is x²+2x-8

Step-by-step explanation:

The number of weeks when Sofia will catch up to Jacob will be 2 weeks.

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

Let 'x' be the number of weeks and 'y' be the total test. Then the equations are given as,

y = 4 + 3x           ...1

y = 8 + x            ...2

From equations 1 and 2, then we have

4 + 3x = 8 + x

3x - x = 8 - 4

2x = 4

x = 2

The number of weeks when Sofia will catch up to Jacob will be 2 weeks.

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Just multiply each side by side

Step-by-step explanation:1.Times one side by another

2. Times your answer by the third side

∠5 is the alternate interior angle of ∠3.

What is transversal?

A transversal is a line that, at two different points in the geometry, cuts through two lines in the same plane. Various types of angles in pairs, including consecutive interior angles, corresponding angles, and alternate angles, are produced by a transversal intersection with two lines.

When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairs of that transversal. Alternate interior angles are what they are called.

Line m and line n are parallel and line l is transversal.

The alternate pairs of that transversal are ∠3 and ∠5.

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Answer: 5/12

Step-by-step explanation:

2/3 - 1/4 = 5/12

Answer:

1.75

Step-by-step explanation:

Answer:

none of them do

Step-by-step explanation:

5/6=0.83

6/5=1.2

4/5=0.8

5/4=1.25

11/5=2.2