Find the domain and range of the relation. Also determine whether the relation is a function.
{(6,3), (8,5), (-4,-4), (5,5)}

Answer:

radius = 8.5 in

Step-by-step explanation:

the diagonal of the tablecloth will be the diameter of the table.

diagonal² = 15² + 8² = 225 + 64 + 289

diagonal = √289 = 17 in

radius = 17/2 = 8.5 in

The diameter of the table is 17 inches (0.43 m). Then the radius of the circular table will be 8.5 inches (0.22 m).

The radius of a circle is the distance between the center and the circumference.

It is a polygon with four sides. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.

A 15-inch by 8-inch tablecloth is placed on a circular table.

Each of the four corners of the tablecloth touch the edge of the table.

That is shown in the diagram.

The diameter d is measured by the Pythagoras theorem.

d² = 15² + 8²

d² = 225 + 64

d² = 289

d² = 17²

 d = 17 inches

The diameter of the circle is 17 inches.

The radius is the half of the diameter. Then the radius will be

r = d / 2

r = 17 / 2

r = 8.5 inches

Thus, the radius of the circular table will be 8.5 inches.

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Answer:

E. 40

Step-by-step explanation:

First, we can start out by stating that this is a right triangle, since it has a right angle, shown by the marker square in the corner of the triangle. The x part, is called the hypotenuse. When finding the value of the hypotenuse, we use a thing called the Pythagorean Theorem. This theorem is :

a^2 + b^2 = c^2

a is one side length, and b is the other. c is the hypotenuse. To find x, the hypotenuse, we simply plug in the values, and solve.

24^2+32^2 = c^2

576 + 1024 = c^2

1600 = c^2

40 = c

The answer is E. 40.

Answer:

2 (C)

Step-by-step explanation:

The "bisector" of the two sides is always equal to 1/2 of the base so...

2(3x-1) = 2x+6

Then, we simply btoh sides...

6x-2 = 2x+6

Then, we bring all the variables to one side and the numbers to the other..

4x = 8

Finally, we simplify to get our answer...

x=2 (C)

Answer:

-84+(-11)= -95

-84 + (-11) = -84 - 11 = -95

By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.

Answer:

\(\frac{7}{3}\)

Step-by-step explanation:

\(\frac{7}{9}\) ÷ \(\frac{1}{3}\) =              Flip the second fraction over (reciprocal) and multiply

\(\frac{7}{9}\) x \(\frac{3}{1}\) =              Multiply straight across. Numerators then denominators.

\(\frac{7}{9}\) x \(\frac{3}{1}\) = \(\frac{21}{9}\) = \(\frac{7}{3}\)     Reduce.

that log4x=2log16x. (ii)Show that log x=3logb³ x. (iii) Show that log₂x=(1+log₂3)logix

Answer:

  c = -41/16

Step-by-step explanation:

You want to solve the 2-step linear equation -7/3=2/3c-5/8.

The two steps for such an equation are ...

Step 1 - add the opposite of the constant on the side with the variable term.

  -7/3 +5/8 = 2/3c -5/8 +5/8

  -41/24 = 2/3c . . . . . . . . . . . . . simplify

Step 2 - multiply by the inverse of the coefficient of the variable.

  (-41/24)(3/2) = (2/3c)(3/2)

  -41/16 = c

Some folks like to solve equations like this by eliminating fractions as a first step. Here, that can be accomplished by multiplying the equation by 24 (the least common denominator).

  (-7/3)(24) = (2/3c)(24) -(5/8)(24) . . . multiply the equation by 24

  -56 = 16c -15 . . . . . . . simplify; fractions are gone

  -41 = 16c . . . . . . . . . step 1, add the opposite of the unwanted constant

  -41/16 = c . . . . . . . . step 2, divide by the coefficient of the variable

Answer: 72 days

Step-by-step explanation:

STEP ONE: Find the total amount of food

Total days = 18 days

Total people = 8 people

Total food = days × people

Total food = 18 × 8

Total food = 144

STEP TWO: Find the days that would last for 2 people

Total people = 2 people

Total food = 144 units

Total days = food ÷ people

Total days = 144 ÷ 2

Total days = \(\boxed{72days}\)

Hope this helps!! :)

Please let me know if you have any questions

The equation that describes the graphed function is Option C: g(x) = -f(x) + 2.

The given function is f(x) = √x, which represents the square root function. To determine which equation describes the graphed function, we need to analyze the transformations applied to the original function.

Option A, g(x) = f(-x) + 2:

This equation represents reflecting the graph of f(x) across the y-axis (due to the negative sign in front of x) and then shifting it vertically upward by 2 units. However, this transformation does not match the graph of f(x) = √x.

Option B, g(x) = -f(x + 2):

This equation represents taking the negative of the original function f(x) and shifting it horizontally left by 2 units. This transformation does not match the graph of f(x) = √x.

Option C, g(x) = -f(x) + 2:

This equation represents taking the negative of the original function f(x) and shifting it vertically upward by 2 units. This transformation matches the graph of f(x) = √x.

Option D, g(x) = f(-x + 2)

This equation represents reflecting the graph of f(x) across the y-axis (due to the negative sign in front of x) and shifting it horizontally right by 2 units. This transformation does not match the graph of f(x) = √x.

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The solution to the initial value problem is:

y(x) = √{16}/{8x-1}} + 3e^{-2x} + 2√{2} + 1

The solution to the initial value problem is given by:

y(x) = √{16}/{8x-1}} + 3e^{-2x} + C

Where C is the constant of integration. To find C, we can use the initial condition y(0) = 2√{2}:

y(0) = √{16}/{8(0)-1}} + 3e^{-2(0)} + C = 2√{2}

Solving for C:

C = 2√{2} - √{16}/{-1}} - 3 = 2√{2} + √{16} - 3 = 2√{2} + 4 - 3 = 2√{2} + 1

So the solution to the initial value problem is:

y(x) = √{16}/{8x-1}} + 3e^{-2x} + 2√{2} + 1

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Answer:

(5, 2)

Step-by-step explanation:

Coordinates of a point in a coordinate plane is usually written as (x, y). This point contains the value of x and its corresponding y value.

The red dot on the plane given, if you trace it down to the x-axis, it is at x = 5, while if you trace it horizontally against the y-axis, you'd have y = 2.

Therefore, the coordinates of the red dot is (5, 2).

These two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

The correct system of equations to model this scenario is:

x + y = 414 (Equation 1)

9x + 12y = 3780 (Equation 2)

In this system, x represents the number of children and y represents the number of adults who played that day.

Equation 1 represents the total number of customers, which is 414. It states that the sum of the number of children (x) and the number of adults (y) is equal to 414.

Equation 2 represents the total cost of the games played. Since the cost for a child's game is $9 and the cost for an adult's game is $12, we multiply the number of children (x) by $9 and the number of adults (y) by $12. The equation states that the total cost, which is $3780, is equal to the sum of these individual costs.

Together, these two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

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Answer: B.A point is a location, and a line has many points located on it.

Step-by-step explanation:

Answer:

161700 ways.

Step-by-step explanation:

The order in which the transistors are chosen is not important. This means that we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

3 transistors from a set of 100. So

\(C_{100,3} = \frac{100!}{3!(100-3)!} = 161700\)

So 161700 ways.

The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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Answer:

7

Step-by-step explanation:

refer to solution in picture

Answer:

10%

Step-by-step explanation:

We know that if a shirt is on sale for 20% off that means that the shirt's value is 80% of what it used to be.

We can divide 80% by 8 to find out how much 10 dollars is, so you do 8/8=1. Then you do 1*10 (or 10%*10) = $10 (or 100%)

Tell me if you have any questions

The change that Grant received to the nearest cent after giving the delivery driver with a $100 bill is $ 32.6.

This is a question of percentages.

Given that:-

Price of bouquet of flowers = $ 55

Sales tax % = 6.5 %

Tip % = 15 %

Delivery fee= $10

We have to find the change that Grant received to the nearest cent after giving the delivery driver with a $100 bill.

Sales tax = (6.5/100)*55 = $3.575

$55 + $3.575 = $58.575

Tip = (15/100)*58.575 = $ 8.78625

Total money paid by Grant = 55 + 3.575 + 8.78625 = $ 67.36125 ≈ $ 67.4

Hence,

Change received by Grant = 100 - 67.4 = $ 32.6

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The study for given sample space is not clear whether this is a randomized experiment or an observational study.

What exactly is a sample space?

In probability theory, a sample space is the set of all possible outcomes of a random experiment or process. It is a fundamental concept in probability theory because it defines the range of all possible outcomes that could occur in an experiment. For example, if you flip a coin, the sample space consists of two possible outcomes: heads or tails. Similarly, if you roll a die, the sample space consists of six possible outcomes: 1, 2, 3, 4, 5, or 6. The sample space can be represented using set notation, listing all the possible outcomes, or using a tree diagram to visualize the possible outcomes and their probabilities.

Now,

a. Based on the given information, it is not clear whether this is a randomized experiment or an observational study. If the researcher randomly assigned individuals to either the low-exercise or high-exercise group and then measured their blood pressure, it would be a randomized experiment. If the researcher simply observed individuals in each group and then compared their blood pressure levels, it would be an observational study.

b. The conclusion that exercise decreases blood pressure cannot be well justified based on the given information. The study suffers from several potential confounding factors, which could have influenced the results. For example, the individuals in the low-exercise group might have had higher stress levels or poorer diet, which could have affected their blood pressure. Therefore, it is not possible to conclude that the difference in blood pressure levels between the two groups was solely due to their exercise habits. To establish a causal relationship between exercise and blood pressure, a well-designed randomized controlled trial would be necessary, controlling for potential confounding factors.

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Step-by-step explanation:

1/4 in percentage

= 1/4 * 100%

= 25%

Answer:

4/4=100%

1/4=100÷4

   = 25%

Answer:D

Step-by-step explanation:

please mark brainliest

Answer:

Question not written properly. Please write the full question with every detail possible not some shorten question

Step-by-step explanation:

Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

11u

Step-by-step explanation:

Add 7u and 4u

Hope this helps! :)

Answer:

If you want the area of something with the sides 14cm and 7cm then it would be 98 cm.

Step-by-step explanation:

Area = length * width

Area = 14 cm * 7 cm

Area = 98 cm

Step-by-step explanation:

To find the area of a rectangle, we simply need to multiply its length by its width. The area is simply the width of a rectangle times height. Area = h × h, Area = h2. Hence for a square, the area is the square of its sides.

Answer:

The probability of obtaining a Merit Scholarship = 0.23

Step-by-step explanation:

From the given information:

The probability of obtaining a merit scholarship P(A) = 0.18

The probability of obtaining both P(A ∩ M) = 0.11

The probability of getting at least one P(A ∪ M)  = 0.3

The objective is to determine the probability of obtaining a Merit Scholarship.

So, as given:

if M represents Merit Scholarship and A represent Athletic Scholarship,

the probability of obtaining a Merit Scholarship is as follows;

P(M) = P(A ∪ M) + P(A ∩ M) - P(A)

P(M) = 0.3 + 0.11 - 0.18 = 0.23

P(M) = 0.23