PLS HELP!! The table shows the proportional relationship between the price for a certain number of buckets of golf balls at a driving range.


Buckets 3 5 7
Price (dollars) 28.50 47.50 66.50


Determine the constant of proportionality.
9.5
10.5
18.25
28.5

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (- 2, - 5 )

m = \(\frac{-5-9}{-2-(-2)}\) = \(\frac{-14}{-2+2}\) = \(\frac{-14}{0}\)

Since division by zero is undefined then the slope is undefined

Answer:

y = \(3^{x}\)

Step-by-step explanation:

the standard form of an exponential function is

y = a\(b^{x}\)

Use ordered pairs from the table to find a and b

Using (0, 1 ) , then

1 = a\(b^{0}\) [ \(b^{0}\) = 1 ] , so

1 = a × 1 , that is a = 1

y = \(b^{x}\)

Using (1, 3 )

3 = \(b^{1}\) ⇒ b = 3

y = \(3^{x}\) ← required exponential function

Answer: Table 3

Step-by-step explanation:

exponential relationship means the y value is increasing/decreasing exponentially

In table 1: the value of y is NOT increasing/decreasing exponentially as 2 is being added continuously (linear), so not table 1

In table 2: the value of y is NOT increasing/decreasing exponentially as 4 is being subtracted continuously (linear), so not table 2

In table 3: the value of y IS increasing exponentially as the y variable is multiplied by 2, so table 3

In table 4: the value of y is NOT increasing exponentially as the y variable is only being increased by 5 constantly (linear), so not 4

Answer:

Fg is 6 and I have to

Step-by-step explanation:

The school timings for the next course will be a number of activities for students to participate in related to UAE culture and

Answer:

True

Step-by-step explanation:

A reflecrion always is the sam edustance because then it makes it look like they are reflecting each other.

Answer:

Explanation:

Here, we want to solve the given equation for L

What that means is that we want to make L the formula subject. Hence, we are to simply isolate L on one side of the equation

To do this, we have to divide both sides by the values attached to L:

(a) The total number of possible outcomes of the experiment is 25 outcomes .

(b) The probability of the event that the first ball drawn is blue is 2/5 .

In the question ,

it is given that ,

the number of blue balls in the urn = 2 ( b1 and b2)

the number of white balls in the urn = 3 (w1 , w2 and w3)

also given that ,

one ball is drawn, its color is recorded and is replaced in urn. then another ball is drawn and the color is recorded .

Part(a) ,

the total number of possible outcomes for experiment will be

b1b1, b1b2, b1w1, b1w2, b1w3

b2b1, b2b2, b2w1, b2w2, b2w3

w1b1, w1b2, w1w1, w1w2, w1w2

w2b1, w2b2, w2w1, w2w2, w2w3

w3b1, w3b2, w3w1, w3w2, w3w3 .

So , total number of outcomes is = 25 .

Part(b) ,

From Part(a) , we can see that the outcomes with first ball blue are

b1b1, b1b2, b1w1, b1w2, b1w3

b2b1, b2b2, b2w1, b2w2, b2w3,

the number of outcomes with first ball blue is = 10 .

So , the probability = (number of outcomes with first ball blue)/(total number of outcomes) .

= 10/25

= 2/5 .

Therefore , total number of outcomes is 25 and the probability that first ball is blue is 2/5 .

The given question is incomplete , the complete question is

An urn contains two blue balls (denoted b1 and b2) and three white balls (denoted w1,w2, and w3). one ball is drawn, its color is recorded, and it is replaced in the urn. then another ball is drawn and its color is recorded.

(a) let b1w2 denote the outcome that the first ball drawn is b1 and the second ball drawn is w2. because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. the total number of possible outcomes of the experiment is         .

(b) consider the event that the first ball that is drawn is blue. what is the probability of the event ?

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Step-by-step explanation:

It is 64*0.32=20.48 minutes or 20.5 minutes.

Answer:

43.52

Step-by-step explanation:

first you have to multiply the amount of time in all by the percent she has done. then after that you divide by 100.

The argument is valid, and the inference rules used are modus tollens, conjunction, and modus ponens.

The argument can be analyzed as follows:

Premises:

Today is not raining and not snowing

If we do not see the sunshine, then it is not snowing

Conclusion:

3. I'm happy

To determine if the argument is valid using inference rules, we can use modus tollens to derive a new conclusion from the premises. Modus tollens states that if P implies Q, and Q is false, then P must be false.

Using modus tollens with premise 2, we can conclude that if it is snowing, then we will not see the sunshine. This can be written symbolically as:

~S → ~H

where S represents "it is snowing" and H represents "we see the sunshine".

Next, using a conjunction rule, we can combine premise 1 with our new conclusion in premise 4 to form a compound statement:

(~R ∧ ~S) ∧ (~S → ~H)

where R represents "it is raining".

Finally, we can use modus ponens to derive the conclusion that "I'm not happy" from our compound statement 5. Modus ponens states that if P implies Q, and P is true, then Q must be true.

Using modus ponens with our compound statement 5, we have:

~R ∧ ~S (from premise 1)

~S → ~H (from premise 2)

~S (from premise 1)

~H (from modus ponens with premises 7 and 8)

I'm not happy (from translating ~H into natural language)

Therefore, the argument is valid, and the inference rules used are modus tollens, conjunction, and modus ponens.

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Answer:

f(x) = 3x + 50 is the equation in function notation.

(22, 116) is the ordered pair for 22 deliveries.

Step-by-step explanation:

First, create the equation. Let x represent how many deliveries he makes.

Since he makes $3 on each delivery, the total amount he makes from deliveries can be represented by 3x.

He also makes $50 a shift, so add this to 3x in the equation:

f(x) = 3x + 50 is the equation in function notation.

Find how much he will make if makes 22 deliveries. Plug in 22 as x:

f(x) = 3x + 50

f(22) = 3(22) + 50

f(22) = 66 + 50

f(22) = 116

So, he will make $116.

As an ordered pair, the solution is (22, 116).

Answer:

f(x) = 3x + 50

Step-by-step explanation:

If he makes $50.00 a shift, and $3.00 for each delivery, and he makes 22 deliveries in one shift then the equation (in function notation) would be f(x) = 3x + 50.  and the solution to the equation is 116.

The rate of change of the volume when radius of sphere is 11 inch is 2904π inch³/minutes

According to the question,

The radius r of a sphere is increasing at a rate of 6 inches per minutes

Volume of sphere is 4/3 πr³

We have to find Rate of change of volume when r = 11 inch

Differentiating volume of sphere w.r.t time

V = 4/3 πr³

=> dV/dt = 4 πr² . dr/dt ---------(1)

As it is given that ,

dr/dt = 6

Substituting the value in equation (1)

=>  dV/dt = 4 πr² . 6

=> dV /dt = 24 πr²

r = 11

=> dV /dt = 24 π(11)²

=> 2904 π inch³/minutes is rate of change of volume

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Answer:

2x - 7y > 10

8 + x > 5

3 < 5

Step-by-step explanation:

The equations are

Ax + By + C < 0 or Ax + By + C > 0

There is no equal in a linear inequality

The first option 2x + 8 = 10y is an equation, so it is wrong. The other 3 are correct!

Answer:

23 and 24

Step-by-step explanation:

Answer:

23 and 24

Step-by-step explanation:

The method I use to do these sort of problems is that I divide the number by 2. In this case, 47 ÷ 2 is 23.5.

Now the two whole numbers less than 23.5 and greater than 23.5 are the consecutive numbers that add up to 47.

You can check by adding 23 + 24 which equals 47.

Answer:

m+10

Step-by-step explanation:

We know that yesterday, eric had m baseball cards. Thus, we can denote that the total number of baseball cards he had yesterday is m.

We know that he got 10 more today. Since he is receiving more, he is adding to his collection. Since he is getting more, we have to add 10 to how many baseball cards he used to have. He used to have m baseball cards, so today he has m+10 baseball cards.

This is the answer as we cannot combine 10 and m. Since m is a variable with no set value as of now, and 10 is a constant number that has no variable, they are not like terms and cannot be added. So the answer is m+10 baseball cards.

I hope this helped.

Please consider giving brainliest if anyone else responds.

The answer is correct, we can plot both triangles on a Coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

To determine the coordinates of the vertices of the image of triangle ABC after being translated 4 units down, we need to subtract 4 from the y-coordinates of each vertex. This is because a translation is a type of transformation that moves each point of a figure a certain distance in a certain direction.

So, starting with the preimage of triangle ABC with vertices at A(-3, 3), B(0, 4), and C(-3, 0), we can find the image by subtracting 4 from the y-coordinates:

A'(-3, 3 - 4) = A'(-3, -1)

B'(0, 4 - 4) = B'(0, 0)

C'(-3, 0 - 4) = C'(-3, -4)

Therefore, the coordinates of the vertices for the image after the translation are A'(-3, -1), B'(0, 0), and C'(-3, -4).

So, the correct option is A) A′(−3, −1), B′(0, 0), C′(−3, −4).

To check if the answer is correct, we can plot both triangles on a coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

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Answer:

I pretty sure it is. y = 2x+3

Answer: A ; y=2x+3

Step-by-step explanation:

0x2=0+3=3

1x2=2+3=5

ect.. I

The measure of the numbered angles formed by the common transversal to the two parallel lines are;

\( \angle 1 = 113^{ \circ} \)

\( \angle 2 = 67^{ \circ} \)

\( \angle 3 = 67^{ \circ}\)

\(\angle 4 = 113^{ \circ} \)

The relationships between the angles are;

The given angle is 113°

According to corresponding angles theorem, we have;

\( \angle 1 = 113^{ \circ} \)

\(\angle 1 \: and \: \angle 4 \) are vertical angles

According to vertical angles theorem, we have;

\(\angle 1 = \angle 4 = 113^{ \circ} \)

\( \angle 3 \: and \: 113^{ \circ} \) are same side exterior angles.

According to same side exterior angles theorem, we have;

\( \angle 3 \: and \: 113^{ \circ} \) are supplementary angles. Which gives;

\( \angle 3 + 113^{ \circ} = 180^{ \circ} \)

\( \angle 3 = 180^{ \circ} - 113^{ \circ} = 67^{ \circ}\)

\( \angle 2 \: and \: \angle 3 \) are vertical angles, which gives;

\( \angle 2 = \angle 3 \) = 67°

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The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.

When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.

To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.

In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.

Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.

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Note that for setting (a), use the chi-square test of independence to compare texting behavior between age groups. For setting (b), use the chi-square test of homogeneity to compare accident rates between age groups in a manufacturing plant.

a) The appropriate chi-square test for this setting is the test of independence. This is because we are comparing the responses of two groups (less than 30 and at least 30 years old) to two categories (more texts and more phone calls), and we want to see if there is an association between age and texting behavior.

The test of independence allows us to determine if there is a significant relationship between two categorical variables.

b) The appropriate chi-square test for this setting is the test of homogeneity. This is because we are comparing two groups (older and younger employees) with respect to the same categorical variable (accident type), and we want to see if the proportion of accidents is the same for both groups.

The test of homogeneity allows us to determine if there is a significant difference between two or more populations with respect to a categorical variable.

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Answer:

To calculate the total amount, first find out how much you contribute and then add the amount your employer contributes.

Your contribution: 10% of $50,000

= ($50,000 * 10) / 100

= $5,000

Employer's contribution: 3% of $50,000

= ($50,000 * 3) / 100

= $1,500

Total contribution:

= Your contribution + Employer's contribution

= $5,000 + $1,500

= $6,500

So, the total amount being put away in your account each year is $6,500.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a + 143 = 180    {Linear pair}

a = 180 - 143

a = 37

37 + 93 + b = 180 {Angle sum property of triangle}

130 + b = 180

         b = 180 - 130

         b = 40

c + b = 90

c  + 40 = 90

c = 90 - 40

c = 50

d + 120 = 180   {Linear pair}

d = 180 - 120

d = 60

? = 60 + 40         {Exterior angle property of triangle}

? = 100

Answer:

154.07

Step-by-step explanation:

8 rounds up to 10, so 154.068 rounded to the nearest hundreths place is 154.07!

Answer:

154.07

Step-by-step explanation:

The hundredths place is your second decimal place, and when you round, if it's 5 or more, you round up, 4 or less, you don't. Because the value in the third place is more than 5, you would round up the second place to 7.

Find the length of the circumference:

Circumference = 2 x pi x radius

Circumference = 2 x 3.14 x 7

Circumference = 43.96 kilometers

90 degrees is 1/4 of a circle ( 360/4 = 90)

Arc length = 43.96/4 = 10.99 kilometers

(Round answer as needed)

Answer:

Step-by-step explanation:

To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.

Given matrix D:

D = | k 0 0 |

| 3 k² k³ |

| 0 kª k³ kº |

| k k k |

| 0 0 0 |

| k¹⁰ |

The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

- 0(det | 3 k² k³ |

| 0 kª k³ |

| k k k |)

+ 0(det | 3 k² k³ |

| k k k |

| k k k |)

Simplifying further, we have:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

Now, we can calculate the determinant of the 3x3 submatrix:

det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |

This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:

det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº

Now, we can set det(D) equal to 1024 and solve for k:

k⁴+kº = 1024

Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.

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Answer:

Frazer is the 8kg and Tyler is 15 kg.

Step-by-step explanation:

Total 23kg. Take away the 7kg, that Tyler weighs more, is 16.

Half the 16 to get 8.

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Tyler and frazer weigh a total of 23kg then Frazer weighs 8 kg and Tyler weighs 15 kg.

Now assume Frazer's weight as x.

According to the problem, Tyler is 7kg heavier than Frazer.

Hence, Tyler's weight will be x + 7.

Now We know that the total weight of both of them is 23 kg.

Therefore, the equation will be:

x + (x + 7) = 23

Simplifying the equation, we get:

2x + 7 = 23

Now, subtracting 7 from both sides of the equation, we get:

2x = 16

Dividing both sides by 2,

x = 8

So, Frazer weighs 8 kg.

Now, we can calculate Tyler's weight as:

x + 7 = 8 + 7 = 15 kg

Therefore, Tyler weighs 15 kg.

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