determine whether a relation shown represents a function and justify your answer. domain 6, 10, 12 and range 7, 32

6 numbers per cube

3 numbers are less than 4 ( 1, 2 & 3)

so you have a 3/6, reduce to 1/2 probability of rolling a number less than 4 on each cube

2 cubes

 so 1/2 * 1/2 = 1/4 probability

Answer:

  152 square feet

Step-by-step explanation:

The area of a rectangle is the product of its length and width. The total area of carpet required is the sum of the areas of the two rooms:

  carpet area = (12 ft)(6 ft) +(10 ft)(80 ft) = 72 ft^2 +80 ft^2

  carpet area = 152 ft^2

Answer:

Point of symmetry

Step-by-step explanation:

The circle is moves at the same distance from the center of the circle. Therefore, the circle is symmetrical around a single point.

Hope this will helpful.

Thank you.

Answer:

Replace critical words with variables, numbers, and operations. More than is addition, the product is multiplication and decreased by is subtraction. The constants are 1, 7, and 5. The expression is 1 + 7n – 5. To evaluate the expression, substitute 6 for the variable and then simplify the order of operations. The value when n = 6 is 38.Step-by-step explanation:

Answer:

Step-by-step explanation:

_______

Good evening ,

_______________

f(1)=3 and f(3) = -1 so the average rate of change from x = 1 to x = 4 is 1.

Look at the photo below for more details,

________________________________

:)

Answer:

it is no solutions

Step-by-step explanation:

Answer: The correct answer is C

Step-by-step explanation: APPEX learning quiz

From the given above, we can formulate the equation:

W = C / 218

By substituting the given values:

W = 1090 calories / (218 calories / 1 ounce)

W = 5 ounce

Therefore the guinea pigs will gain additional 5 ounce if the diet was increased by 1090 calories.

In terms of operant conditioning, if a response to a stimulus results in a satisfying or rewarding outcome, the probability of the response recurring to that stimulus in the future increases. Conditioning behavior is controlled by their consequences.

If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again increases. This concept is central to the idea of operant conditioning in behavioral psychology. Operant conditioning is a type of learning where behavior is controlled by consequences. If the response to a stimulus results in a rewarding or satisfying outcome, this acts as positive reinforcement.

In operant conditioning, when a response yields a rewarding outcome (reinforcement), the likelihood of the behavior recurring in the future is increased. Take, for instance, the case of a dog that has learned if it sits when commanded, it receives a treat. The command ('Sit') is the stimulus, sitting is the response, and receiving a treat is the reinforcement. This scenario typically increases the likelihood of the dog sitting when given the command in the future.

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In terms of operant conditioning, if a response to a stimulus results in a satisfying or rewarding outcome, the probability of the response recurring to that stimulus in the future increases. Conditioning behavior is controlled by their consequences.

If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again increases. This concept is central to the idea of operant conditioning in behavioral psychology. Operant conditioning is a type of learning where behavior is controlled by consequences. If the response to a stimulus results in a rewarding or satisfying outcome, this acts as positive reinforcement.

In operant conditioning, when a response yields a rewarding outcome (reinforcement), the likelihood of the behavior recurring in the future is increased. Take, for instance, the case of a dog that has learned if it sits when commanded, it receives a treat. The command ('Sit') is the stimulus, sitting is the response, and receiving a treat is the reinforcement. This scenario typically increases the likelihood of the dog sitting when given the command in the future.

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Well here are two equivalent different expressions of my making that you could use for this question.

f(x) = 2x - 7
g(x) = 3x - 28 / 2

When x = 7, these two different expressions will equate to the same value of 7. If you meant something else let me know, otherwise this is what you should put for your essay-question.

Final answer:

The statement is true; a tangent line meets a circle at the point of tangency, which is the unique point where the tangent touches the circle without intersecting it.

Explanation:

True, the point at which a tangent line meets a circle is indeed called the point of tangency. This is a fundamental concept in geometry, where a tangent line is defined as a line that touches a curve at exactly one point, without crossing through it. This distinct point is known as the point of tangency.

For example, if we have a circle and a line that touches the circle at just one point and does not intersect it at that point, that line is a tangent to the circle, and the point of contact is the point of tangency. The tangent line is always perpendicular to the radius of the circle at the point of tangency, as can also be seen from the properties of the director circle, which is the locus of points of intersection of perpendicular tangents to the curves like ellipses and hyperbolas.

In the context of a director circle, perpendicular tangents to an ellipse would intersect on this special circle. Although for this particular question, we are focusing on the tangent line to a single circle and its point of tangency. It's interesting to note that according to the properties of circles, every point on a circle allows for exactly one tangent line. Whenever such a line is drawn, it illustrates the concept of tangency.

Answer: H(x)=4(x-9)^2-17

Step-by-step explanation:

Answer:

The area of the rectangle is 75 squared meters.

Step-by-step explanation:

Width of the rectangle = w

Length of the rectangle = l = 3w

Perimeter of the rectangle = P = 40 m

Perimeter of the rectangle = 2(l+w)

[tex]2(l+w)=40 m[/tex]

[tex]2(3w+w)=40 m[/tex]

[tex]8w=40 m[/tex]

[tex]w=\frac{40 m}{8}=5 m[/tex]

[tex]l=3w=3\times 5 m=15 m[/tex]

The area of the rectangle ,A= l × w

[tex]A = 5 m\times 15 m = 75 m^2[/tex]

The area of the rectangle is 75 squared meters.

Isolating a variable involves changing the subject of the equation.

The result of isolating y^2 is: [tex]\mathbf{y^2 = \frac{42 - 9x^2}7}[/tex]

The equation is given as:

[tex]\mathbf{9x^2 + 7y^2 = 42}[/tex]

Subtract 9x^2 from both sides

[tex]\mathbf{7y^2 = 42 - 9x^2}[/tex]

Divide through by 7

[tex]\mathbf{y^2 = \frac{42 - 9x^2}7}[/tex]

Hence, the result of isolating y^2 is: [tex]\mathbf{y^2 = \frac{42 - 9x^2}7}[/tex]

Read more about subject of formulas at:

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Answer:  The correct option is (A) [tex]y=10-x.[/tex]

Step-by-step explanation:  The given graph represents the amount of change Jaxon would receive 'y' if he bought a item with a cost of 'x'.

We are to select the correct equation that represents the graph.

We notice from the graph that it is a straight line and the points (0,10) and (10, 0) lies on the line.

The slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]  

So, the slope of the given line is

[tex]m=\dfrac{0-10}{10-0}\\\\\\\Rightarrow m=-1.[/tex]

Since the line passes through the point (10, 0), therefore the equation of the line representing the graph is

[tex]y-10=m(x-0)\\\\\Rightarrow y-10=-1(x-0)\\\\\Rightarrow y-10=-x\\\\\Rightarrow y=10-x.[/tex]

Thus, the required equation is [tex]y=10-x.[/tex]

Option (A) is CORRECT.

Answer:

Sum of -8a³b+3a²b²-5,2+5a²b² and 3a³b+7-9a²b² is:

-5a³b-a²b²+4

Step-by-step explanation:

We have to find the sum of:

-8a³b+3a²b²-5,2+5a²b² and 3a³b+7-9a²b²

-8a³b+3a²b²-5+2+5a²b²+3a³b+7-9a²b²

= -5a³b-a²b²+4

Hence, sum of -8a³b+3a²b²-5,2+5a²b² and 3a³b+7-9a²b² is:

-5a³b-a²b²+4

Answer-

[tex]\boxed{\boxed{a_{12}=354294}}[/tex]

Solution-

If there are 2 terms of a Geometric Sequence [tex]a_n[/tex] and [tex]a_k[/tex] where (n > k), then

[tex]a_n=a_k\cdot r^{n-k}[/tex]

where, r = common ration of the G.P.

Here,

[tex]a_4 = 54\\\\a_7=1458[/tex]

Putting in the equation,

[tex]\Rightarrow a_7=a_4\cdot r^{7-3}[/tex]

[tex]\Rightarrow a_7=a_4\cdot r^3[/tex]

[tex]\Rightarrow 1458=54\cdot r^3[/tex]

[tex]\Rightarrow r^3=\dfrac{1458}{54}[/tex]

[tex]\Rightarrow r^3=27[/tex]

[tex]\Rightarrow r=3[/tex]

Again putting the values in the equation,

[tex]\Rightarrow a_{12}=a_7\cdot r^{12-7}[/tex]

[tex]\Rightarrow a_{12}=a_7\cdot r^5[/tex]

[tex]\Rightarrow a_{12}=1458\cdot 3^5[/tex]

[tex]\Rightarrow a_{12}=354294[/tex]

The 12th term of the geometric sequence is 354,294

The nth term of a geometric progression is given by the formula:

[tex]a_n = ar^{n-1}[/tex]

For n = 4

[tex]a_4=ar^{4-1}\\\\a_4=ar^3\\\\ar^3=54..................(1)[/tex]

For n = 7

[tex]a_7=ar^{7-1}\\\\a_7=ar^6\\\\ar^6=1458................(2)[/tex]

Divide equation (2) by equation (1)

[tex]\frac{ar^6}{ar^3} =\frac{1458}{54} \\\\r^3=27\\\\r^3=3^3\\\\r = 3[/tex]

Substitute r = 3 into equation (1)

[tex]a(3)^3=54\\\\27a=54\\\\a=\frac{54}{27}\\\\a=2[/tex]

The 12th term of the sequence is therefore calculated below

[tex]a_{12}=ar^{11}\\\\a_{12}=2(3^{11})\\\\a_{12}=354294[/tex]

The 12th term of the geometric sequence is 354,294

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The car would use 20 litres to travel 250 km.

To determine the number of litres the car would use to travel 250 km, we can set up a proportion using the average fuel consumption rate of 8 litres per 100 km:

8 litres / 100 km = x litres / 250 km

To solve for x, we can cross-multiply and then divide:

x litres = (8 litres * 250 km) / 100 km

x litres = 20 litres

Therefore, the car would use 20 litres to travel 250 km.

Final answer:

The car would use 20 liters of fuel to travel 250 km.

Explanation:

To determine how many liters of fuel the car would use to travel 250 km, we can set up a proportion using the given information:

8 liters  ÷ 100 km = x liters  ÷ 250 km

Cross multiplying, we get:

x = (8 liters × 250 km) ÷ 100 km

x = 2000 liters ÷ 100 km

x = 20 liters

Therefore, the car would use 20 liters of fuel to travel 250 km.

Answer:

y-intercept = 0.06 = 6%

Step-by-step explanation:

As per the statement:

A horse owner has 50 lbs of hay that is 6% protein by weight. He adds x lbs of oats that is 12% protein by weight.

Given the function:

[tex]y = \frac{0.06(50)+0.12x}{50+x}[/tex]

where, y represents the percent of protein in the final mixture of feed.

We have to find  y-intercept of the function that models the percent of protein in the final mixture.

Y-intercept:

Substitute x = 0 and solve for y:

then;

[tex]y = \frac{0.06(50)+0.12(0)}{50+0}=\frac{0.60 \cdot 50}{50}[/tex]

⇒[tex]y = 0.06 =6\%[/tex]

Therefore, the y-intercept of the function that models the percent of protein in the final mixture is, 6%

Answer:

.06

Step-by-step explanation:

Hey!

Hope this helps...

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First, you need to do 20 divided by 50 (or in your calculator 20/50)...
Second, you would do long division (or in the calculator, press 'enter')...

And boom-bada-boom, your answer is: 20 is 40% of 50

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For future reference, please try to avoid asking/posting questions that can be answered using the calculator...

1 gallon = 128 ounces

 multiply 128 by 1.5 gallons:

1.5 x 128 = 192 ounces total

 divide total ounces by 8 to get number of glasses:

192/8 = 24

 you can pour 24 eight ounce glasses