A student charges
$
31.50
for
3
hours of babysitting. If the amount the student earns babysitting is proportional to the hours spent babysitting, which equation models the amount of dollars,
y
,
the student earns for
x
hours of babysitting?

Answer:

Is the question 3n+12 = n +14?

Step-by-step explanation:

If so the ANSWER  is  n=1

3n+12=n+14

3n-12=n+14

3n=n+2

-n   -n

2n=2

n=1

The equation of the ellipse with foci at ​(39​,0) and ​(-39​,0) and a constant difference of 30 is given as follows:

x²/39² + y²/9² = 1.

The equation of an ellipse of center (h,k) is given by the rule presented as follows:

(x - h)²/a² + (y - k)²/b² = 1.

In which:

The coordinates of the foci are given as follows:

​(39​,0) and ​(-39​,0).

The center is the midpoint of these two coordinates, hence:

The coefficient a is given as follows:

a = |39 - 0| = |0 - 39| = 0.

Considering the constant difference of 30, the constant b is given as follows:

b = a - 30 = 39 - 30 = 9.

Thus the equation of the ellipse is given as follows:

x²/39² + y²/9² = 1.

The problem asks for the equation of the ellipse with the given features.

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Answer:

y=1/3x+0 or y=1/3x

Step-by-step explanation:

find the slope by taking two points and putting them in

y2 - y1/x2 - x1

so, (3,1) and (6,2) becomes 2-1/6-3 or 1/3 so, slope is 1/3

then to find y intercept you can put a point (6,2) and slope (1/3) into slope intercept form y - y1 = m(x - x1)

y - 2 = 1/3(x-6)

when you solve this you get y = 1/3x + 0, so y intercept is 0. you can also see. this on the graph given

The required coordinates of C' after rotating triangle ABC 90° clockwise about the origin are (4, -5).

To rotate a point in the Cartesian plane 90° clockwise about the origin, we can use the following transformation:

(x', y') = (y, -x)

where (x, y) are the original coordinates and (x', y') are the new coordinates after rotation.

To find the coordinates of C' after rotating triangle ABC 90° clockwise about the origin, we can apply this transformation to point C(5, 4):

(x', y') = (y, -x)

(x', y') = (4, -5)

Therefore, the coordinates of C' after rotating triangle ABC 90° clockwise about the origin are (4, -5).

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Answer:

x=3

Step-by-step explanation:

The solution to the equation √(2 + 2x) - 6 = 2 when evaluated is x = 31

From the question, we have the following parameters that can be used in our computation:

√(2 + 2x) - 6 = 2

So, we have

√(2 + 2x) = 8

Take the square of both sides

so, we have the following representation

2 + 2x = 64

Evalyate the like terms

2x = 62

Divide by 2

This means that

x = 31

Hence, the solution is x = 31

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Complete question

What is √(2 + 2x) - 6 = 2

Answer:

Step-by-step explanation:

c

These (Non-negativity, Monotonicity, Right-continuity) three properties collectively define a function as a cumulative distribution function.

To establish that a function f(x) is a cumulative distribution function (CDF), we need to verify three essential properties: non-negativity, monotonicity, and right-continuity.

Non-negativity:

The first property requires that the CDF is non-negative for all values of x. In other words, f(x) ≥ 0 for all x. This condition ensures that the cumulative probabilities assigned by the CDF are non-negative values.

Monotonicity:

The second property states that the CDF must be non-decreasing. If x1 < x2, then it follows that f(x1) ≤ f(x2). This means that as we move along the x-axis from left to right, the cumulative probability assigned by the CDF cannot decrease. It can either remain the same or increase.

Right-continuity:

The third property demands that the CDF is right-continuous. This means that the limit of f(x) as x approaches a from the right exists and is equal to f(a). In simpler terms, if we approach a specific value of x from the right side, the cumulative probability assigned by the CDF should remain unchanged at that value.

These three properties collectively define a function as a cumulative distribution function. To determine if a given function satisfies these criteria, we would need the specific function f(x) in question. Once provided, we can assess whether the function adheres to the non-negativity, monotonicity, and right-continuity properties, thereby establishing it as a cumulative distribution function.

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To show that a function f(x) is a cumulative distribution function (CDF), we need to verify three properties:

Non-negativity: The CDF must be non-negative for all x.

Monotonicity: The CDF must be non-decreasing, meaning that if x1 < x2, then f(x1) ≤ f(x2).

Right-continuity: The CDF must be right-continuous, meaning that the limit of f(x) as x approaches a from the right exists and is equal to f(a).

Without the specific function provided, I am unable to demonstrate that a particular function is a CDF. If you provide the function f(x), I will be happy to help you verify if it meets the criteria to be a cumulative distribution function.

7(k+1) gives the equivalent expression

Linear expressions are expressions that has a leading degree of 1. For instance y = mx + b is a linear equation.

Given the expression below
-k-(-8k+7)

Expand to have:

-k-(-8k+7) = -k + 8k - 7

-k-(-8k+7) = 7k + 7

Factor out the value of 7 from the expression

7k + 7 = 7(k+1)

Hence the factored form of the expression is 7(k+1)

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3y - 4x = 9

3y = 4x + 9

y = 4/3x + 3

Answer:

the answer would be m=4/3

The answer to the given question after considering the two options is true under the condition all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.      

Probability is also known as the estimation of possible changes of a particular event taking place. Furthermore, it is  important while dealing with calculations in the branch of science and mathematics. It is useful in eliminating the total changes of systematic errors, which are hampering the research population.

Some examples of probability

The probability on the event of rolling a 4 with a die is 1/6.

The probability of getting a tails while tossing a coin is 1/2.

The probability of getting  one  joker from a deck of cards is 1/51.

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The complete question is

All probabilities can be expressed as decimal values ranging from 0.00 to 1.00. True or False

Yes, it is true that all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.

This is because probabilities represent the likelihood of an event occurring, and the probability of an event can range from impossible (0.00) to certain (1.00). Therefore, probabilities are expressed as decimal values between these two extremes.
Hi! Yes, all probabilities can be expressed as decimal values ranging from 0.00 to 1.00. A probability of 0.00 represents an impossible event, while a probability of 1.00 represents a certain event. Values between these two extremes indicate varying levels of likelihood for the event to occur.

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The function f(x) = ( x + 7)³ - 8 will shift left 7 units along x axis and will shift down 8 units along y axis to its parent function g(x) = x³.

By translation, we can stretch, shrink and shift graphs along the x-y coordinate.

We know a parent function is a function that is in its simplest form without any translation.

Given f(x) = (x + 7)³ - 8 and its parent function is g(x) = x³.

Now let us break this function f(x),

f(x) = ( x+ 7)³ implies x + 7 = 0 ⇒ x = -7.

So, x will shift 7 units to the left along the x-axis.

f(x) = ( x + 7)³ - 8, This will shift the function down 8 units along y-axis.

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The total cost it will take Aunt Melissa to tile her home is $2416

Cost = 200 tiles x $6/tile = $1,200

Since there are 12 inches in a foot, we need to convert the tile size from 3 inches to feet: 3 inches = 0.25 feet. The area of each 3-inch tile is 0.25 x 0.25 = 0.0625 square feet.

The number of 3-inch tiles needed can be found by dividing the bathroom floor area by the area of each tile:

Number of tiles = 80 square feet / 0.0625 square feet per tile = 1,280 tiles

At a cost of $0.95 per tile, the cost for tiling the bathroom will be:

Cost = 1,280 tiles x $0.95/tile = $1,216

Therefore, the total cost for tiling Aunt Melissa's home will be:

Total cost = $1,200 + $1,216 = $2,416.

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Answer:

6 (a)

Step-by-step explanation:

P

E

M

D

A

S

4+(9*2)/(4-1)-4

4+(18)/(3)-4

4+6-4

=

6

The maximum number of functions that can be defined from the power set of A, P(A), to the power set of B, P(B) is 4096.

The Collection of well-defined objects or elements is known as a set. The objects in a set are called elements. The Set contains a finite number of elements. The Set is denoted by any capital letter like A, B etc. Elements of the set can be numbers, alphabets etc.

The elements of the set are listed inside the curly brackets { ..... }. There are various types of sets. The set of all subsets of the set X is called a Power set including the null set, empty set and the set itself. Cardinal number or cardinality denotes the number of elements in the set. Cardinality is denoted by n( X ) where X is a set. The number of subsets of the set is given by 2^n.

As per the question,

⇒  n ( A )   =   3 elements

Number of subsets of A   =   2³

                                          =   8 subsets

⇒   n ( B )   =   2 elements

Number of subsets of B   =   2²

                                          =   4 subsets

By using the product rule,

Total number of functions from P ( B ) to P ( A )   =   8 × 8 × 8 × 8

                                                                                =   4096

Therefore, 4096 is the maximum number of functions that can be defined from the power set of A, P(A) to the power set of B.

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Answer: You can find after i explain how

Step-by-step explanation:

Add the x's together

So the problem is 6x + 1 =

This is a triangle so it = 180

6x + 1 = 180

__________

Subtract 1 from itself so 6x crosses out

Then subract 1 from 180

Which = 179

Now, divide 6 from both sides 6x is crosses out

You are left with x = (the number you got when dividing 179 / 6)

From the given information provided, the number of people having brown eyes in town is 180.

If the probability that a person in the town has brown eyes is 2/5, then we can expect that 2 out of every 5 people have brown eyes.

To find the number of people in the survey who would be expected to have brown eyes, we can use the following proportion:

(2/5) = (x/450)

where x is the number of people expected to have brown eyes.

Solving for x, we can cross-multiply:

5x = 2 × 450

5x = 900

x = 180

Therefore, the expected number of people in the survey who would have brown eyes is 180.

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Answer: 20

Step-by-step explanation: 20x4=80. 56+24=80

Answer:

33.02 cm in 13inches

Step-by-step explanation:

Answer:

SAS congruency

Step-by-step explanation:

we are given

hence,

\( \displaystyle \rm \Delta EFA \cong\Delta DFB \text{ by \: SAS}\)

reference:

The measure of the angle x is 59 degrees. Option A

The different trigonometric identities are listed as;

From the information given, we have that;

The measure of the adjacent is 880 feet

The opposite side is the ocean's surface = 1450 feet

The angle is x

Using the tangent identity, we have;

tan θ = opposite/adjacent

Now, we have to substitute the values, we get;

tan x = 1450/880

Divide the values, we get;

tan x = 1. 6477

Take the tangent inverse, we get;

x = 59 degrees

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Answer:

625 is the correct answer :)

Step-by-step explanation:

hope this help  

The newspaper has 625 readers.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

8% = 50 people

Multiply 100/8 on both sides,

100% = 100/8 x 50 people

100% = 625 people

Thus,

There are 625 readers.

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Answer: f(x)+3

Step-by-step explanation:

g is 3 units ABOVE f. Therefore, f(x)+3 is the only answer, since f(x+3) would only shift the graph to the left, f(x-3) would shift the graph to the right, and f(x)-3 would translate the graph 3 units DOWN, not up. So, the correct answer is f(x) + 3

False, one of the most pieces of information with a var is whether each estimated coefficient for the lags is statistically significant (t-tests)

A statistical test called a t-test is employed to compare the means of two groups. It is frequently employed in hypothesis testing to establish whether a procedure or treatment truly affects the population of interest or whether two groups differ from one another.

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Answer:

It is not a right triangle

Step-by-step explanation:

a^2+b^2=c^2

10^2+8^2=6^2

100+64=36

For a right triangle a^2+b^2=c^2, so this triangle isn't a right triangle because a^2 and b^2 are larger.

Answer:

117600

Step-by-step explanation:

392000*0.30

117600

The standard error of the distribution of sample proportions is 0.032.

option C is the correct answer.

The standard error of the distribution of sample proportions is calculated as follows;

S.E = √(p (1 - p)) / n)

where;

The standard error of the distribution of sample proportions is calculated as;

S.E = √ ( 0.1 (1 - 0.1 ) / 90 )

S.E = 0.032

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The dual model for the given primal model is, Maximize W = 55y₁ + 80y₂ + 57y₃ and Subject to 11y₁ + 21y₂ + 31y₃ ≥ 10 and 12y₁ + 22y₂ + 33y₃ ≥ 9, with the nature restrictions: y₁ ≥ 0, y₂ unrestricted, y₃ unrestricted.

To obtain the corresponding dual model for the given primal model

The primal model is:

Minimize Z = 10x₁ + 9x₂ + 8x₃

Subject to:

11x₁ + 12x₂ = 55

21x₁ + 22x₂ + 23x₃ ≤ 80

31x₁ + 33x₃ ≤ 57

x₁ ≤ 0, x₂ ≥ 0, x₃ is unrestricted

a) The dual objective function is obtained by taking the coefficients of the primal model's constraints as the variables in the dual model's objective function. Thus, the dual objective function is:

Maximize W = 55y₁ + 80y₂ + 57y₃

where y₁, y₂, and y₃ are the dual variables corresponding to the primal constraints.

b) The dual constraints are obtained by taking the coefficients of the primal model's variables as the variables in the dual model's constraints. The primal inequalities become the dual equalities and vice versa. Additionally, the sign restrictions of the primal variables become sign restrictions for the dual variables. Thus, the dual constraints are:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

where y₁, y₂, and y₃ are the dual variables corresponding to the primal variables.

c) Nature restrictions of the dual variables:

Since x₁ ≤ 0 in the primal model, the corresponding dual variable y₁ has the restriction y₁ ≥ 0 (non-negativity).

Since x₂ ≥ 0 in the primal model, the corresponding dual variable y₂ has no specific restriction.

Since x₃ is unrestricted in the primal model, the corresponding dual variable y₃ is also unrestricted.

Therefore, the complete dual model is:

Maximize W = 55y₁ + 80y₂ + 57y₃

Subject to:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

y₁ ≥ 0, y₂ is unrestricted, y₃ is unrestricted

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The Volume of the cube is 13,824 cubic. cm

The cube below has 3-centimeter-long sides.

Otis uses 8 of these cubes to create a solid form.

So, the length of the single cube = 3 cm

When 8 cubes are combined to make a solid figure, then

Then a cube will be formed, whose length will be 24 cm

The volume of the cube is given by = \((length)^{3}\)

Putting the length = 24 cm in the volume formula, we have

So, the volume of the cube = \((24)^{3} = 13,824\)

Hence, The Volume of the cube is 13,824 cubic. cm

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