Jennifer noticed that there were only 16 cars in theschool parking lot when she left school on Monday night.When she returned Tuesday morning there were 56 carsin the same parking lot. What is the percent of increase inthe number of cars in the parking lot?

Answer:

the answer is to use the formula lxwxh or length x width x height

Answer:

$966

Step-by-step explanation:

Given that $630 was invested in 1997

At a constant rate the value grew to $840 in 2002.

This implies that $210 was gotten in 5years:

$(840-630)=$210

and 2002-1997= 5years

therefore, to determine the value of the account in 2005: 2005-1997=8years

$210=5years

$x=8years

CROSS MULTIPLY

5x= 210×8

5x=1680

x=$336

Value of account in 2005 will be: $630+$336=$966

Therefore $966 was made in the next 8years(2005).

The marginal impact of X on Y at the sample average is approximately -984.54.

This means that for every one unit increase in X at the average value of X, the value of Y is expected to decrease by approximately 984.54 units.

The marginal impact of X on Y can be obtained by taking the derivative of the regression equation with respect to X. In this case, the regression equation is Y = 874 - 76.6*X - 7.37*X2. Taking the derivative with respect to X, we get -76.6 - 2*7.37*X.

To find the marginal impact of X on Y at the sample average, we need to substitute the average value of X, which is 61, into the derivative expression. Plugging in X = 61, we have -76.6 - 2*7.37*61.

Calculating this expression, we get:

-76.6 - 2*7.37*61 = -76.6 - 907.94 = -984.54.

Therefore, the marginal impact of X on Y at the sample average is approximately -984.54.

In interpretation, this means that for every one unit increase in X at the average value of X, the value of Y is expected to decrease by approximately 984.54 units. This indicates a negative relationship between X and Y in the regression model. However, it's important to note that this interpretation assumes that the regression model is appropriate for the data and that all relevant assumptions are met.

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The distance between the points -3,-8, and 6,-8 is 3 units.

The length of the line segment bridging two points on a plane is known as the distance between the points.

Look at the provided points.

Calculate the distance between the points using the given formula.

Given points are -3,-8 and 6,-8

Given two points lies the parallel to X-axis

The distance between the two points is

A (-3,-8) and B(6,-8) =  X₂ - X₁

6 - 3  = 3 units.

Therefore, the distance between two points -3,-8 and 6,-8 is 3 units.

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Answer:

Step-by-step explanation:

Examples of linear functions relating y to x:

1.  y = x  "ramp" or "identity" function

2.  y = 2.7x  (2.7 is the slope.  This is a proportional function.)

3.  y = 3x - 7 (3 is the slope and -7 is the y-intercept)

Answer: Third proportion is 21/5.

Step-by-step explanation:

Let the proportion be x

so,

3:5:x:7

so

3:5 = x:7

or, 3/5 = x/7

or, 21 = 5x

or, x = 21/5

Answer:

30 because negative x negative = a positive number

Answer:

here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

Step-by-step explanation:

Numbers in sequence are:

The difference between end points:

Common difference of 5 terms:

The missing numbers are:

Step-by-step explanation:

This figure has 1 line of symmetry

Answer:

the last (4th) option

Step-by-step explanation:

the easiest way to find the right answer :

which of the 4 answers would deliver infinity for x = 5 ?

and that is only answer 4, as x = 5 creates 0 in the denominator of the fraction, which leads to the infinity break at that point in the functional curve.

other indications :

the smaller x, the more the denominator goes to -infinity, and the bigger x, the more the denominator goes to +infinity.

and that means the whole fraction goes to 0. and we are left for the function limit with the constant added at the end of the function.

looking at the graph, this has to be +3.

and again, only the 4th answer has "+3" at the end.

The function represented by the graph is y = 1(x - 5) + 3.

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The equation y = 1/(x - 5) + 3 represents a rational function with a vertical asymptote at x = 5.

This means that the graph of the function gets closer and closer to the vertical line x = 5, but never touches or crosses it.

The graph of the function also has a horizontal asymptote at y = 3.

This means that as x approaches infinity or negative infinity, the value of the function approaches 3.

The function has a y-intercept at (0, -4), where x = 0 and y = 1/(-5) + 3 = -4.

Thus,

The function represented by the graph is y = 1(x - 5) + 3.

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Answer:

Number of books with Mrs. Hall = 32

Step-by-step explanation:

Suppose that Mrs. Hill has \(x\) books.

Also, Mr. Lopez has 24 more books than Mrs. Hill.

So,

Number of books with Mr. Lopez = \(x+24\)

Ratio of their books = \(7:4\)

Therefore,

\(\frac{x+24}{x}=\frac{7}{4}\\\\4(x+24)=7x\\\\4x+96=7x\\\\96=3x\\x=\frac{96}{3}\\\\x=32\)

Number of books with Mrs. Hall = 32

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let x represent the length and y represent the width. Hence:

x + 2y = 50

x = 50 - 2y

Also:

xy = 288

(50 - 2y)y = 288

y = 9; and y = 16

x = 32; and x = 18

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

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Answer: 22 1/2 cups

Step-by-step explanation:

multiply 2 1/4 (2.25) by 10 and you get 22.5 or 22 1/4 cups

Answer:

  124/999

Step-by-step explanation:

A recurring decimal fraction can be expressed as a rational number by using the recurring digits in the numerator and an equal number of 9s in the denominator:

  \(0.\overline{124}=\dfrac{124}{999}\)

This fraction cannot be reduced.

_____

Additional comment

If the recurring digits don't start at the decimal point, then you can determine the fraction by ...

In this case, you would get ...

  \(1000x = 124.\overline{124}\\\\1000x-x=124.\overline{124}-0.\overline{124}=124\\\\x=\dfrac{124}{999}\)

To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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Ok so the general form of a circle is given by;

(x-a)²+(y-b)²=r²

where a and b are the coordinates of the center

and r is the radius of the circle

For this case we know that the center is (5,-7)

So the general equation of the circle would be;

\((x - 5) {}^{2} + (y - ( - 7)) {}^{2} = r {}^{2} \)

\((x - 5 {}^{2} + (y + 7) {}^{2} = r {}^{2} \)

Since we know that (-3,-1) is a point on that circle, we can say that it satisfies the equation of the circle;

\(( - 3 - 5) {}^{2} + ( - 1 + 7) {}^{2} = r {}^{2} \)

\(r {}^{2} = ( - 8) {}^{2} + ( 6) {}^{2} \)

\(r {}^{2} = 64 + 36 = 100\)

So now,

\((x - 5) {}^{2} + ( {y + 7)}^{2} = 100\)

The given problem states that a bucket contains 512 gallons of water. Water spills from the bucket so that only 5 pints remain. We need to find out how many pints of water spill from the bucket. The first step towards the solution of the problem is to convert 512 gallons to pints, which is given below;

1 gallon = 8 pints512 gallons = 8 × 512 pints = 4096 pints. Now, we know that 5 pints of water are remaining after the spill. Hence, the total water that has spilled from the bucket would be;4096 - 5 = 4091 pints. Therefore, 4091 pints of water would have spilled from the bucket.

To solve the given problem, we need to convert gallons to pints, which is given below;1 gallon = 8 pints512 gallons = 8 × 512 pints = 4096 pints. Now, we know that only 5 pints of water remain in the bucket. Hence, we need to find out the total amount of water that has spilled from the bucket. To find out the total amount of water spilled, we need to subtract the remaining water from the initial water, which is given below;4096 - 5 = 4091 pints. Therefore, 4091 pints of water would have spilled from the bucket. Hence, t 4091 pints of water.

It can be concluded that if a bucket contains 512 gallons of water, and water spills from the bucket so that only 5 pints remain, then 4091 pints of water would have spilled from the bucket.

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The probability the a five card poker hand contains the ace of hearts, the king of diamond, and the queen of spades is: 9.62%

Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets.

Now,

A five-card poker hand selects 5 out of 52 cards. Therefore, by Permutations and Combinations:

C(52,5) = \(\frac{52!}{5! (52-5)!}\) = 2598960

Now, we select the ace of hearts, for which we can withdraw any 4 out of 51 remaining cards. Therefore, by Permutations and Combinations:

C ( 51, 4) = \(\frac{51!}{4! (51-4)!}\) = 249900

Finally, 249900 out of 2598960 hands contain a two of diamonds and a three of spades.

Thus, the probability = \(\frac{249900}{2598960} = \frac{5}{52}\) (Approximately) ≈ 0.0962 = 9.62%

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The correct statement as regards the transformation involving translation is

Transformation is a term used in mathematics to refer to the movements made by objects.

Transformation is basically of two major divisions

Non rigid transformation are the transformation where the dimension or size of the object will be different from the image, example is dilation

In rigid transformation, the dimensions of the object is maintained through out the transformation examples of rigid transformation are

Since the transformation point A and point B made are all translation which is a type of rigid transformation, the dimension of the length will remain same

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Answer:

1 and 7/10 pounds?

Step-by-step explanation:

because if its 4/10 more you add 3/10 and 4/10 im pretty sure

Answer:

PLEASE MARK BRAInliest

Step-by-step explanation:

tweety weighed 17/10 pounds last year.

(c) The student misses the bus by the difference between the total distances covered by the bus and the student.

(a) To determine the distance covered by the bus from the moment the student starts chasing it until the moment the bus passes by the stop, we need to consider the relative motion between the bus and the student. Let's break down the problem into two parts:

1. Acceleration phase of the student:

During this phase, the student accelerates until reaching the bus's velocity. The initial velocity of the student is zero, and the final velocity is the velocity of the bus. The time taken by the student to accelerate is given as 1.70 s.

Using the equation of motion:

v = u + at

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can calculate the acceleration of the student:

a = (v - u) / t

  = (0 -\(v_{bus}\)) / 1.70

Since the student starts 200 m ahead of the bus, we can use the following kinematic equation to find the distance covered during the acceleration phase:

s = ut + (1/2)at^2

Substituting the values:

\(s_{acceleration}\) = (0)(1.70) + (1/2)(-\(v_{bu}\)s/1.70)(1.70)^2

              = (-\(v_{bus}\)/1.70)(1.70^2)/2

              = -\(v_{bus}\)(1.70)/2

2. Constant velocity phase of the student:

Once the student reaches the velocity of the bus, both the bus and the student will cover the remaining distance together. The time taken by the bus to cover the remaining distance of 200 m is given as 36 s - 1.70 s = 34.30 s.

The distance covered by the bus during this time is simply:

\(s_{constant}_{velocity} = v_{bus}\) * (34.30)

Therefore, the total distance covered by the bus is:

Total distance = s_acceleration + s_constant_velocity

              = -v_bus(1.70)/2 + v_bus(34.30)

Since the distance covered cannot be negative, we take the magnitude of the total distance covered by the bus.

(b) To determine the distance covered by the student during the 36 s, we consider the acceleration phase and the constant velocity phase.

1. Acceleration phase of the student:

Using the equation of motion:

s = ut + (1/2)at^2

Substituting the values:

\(s_{acceleration}\) = (0)(1.70) + (1/2\(){(a_student)}(1.70)^2\)

2. Constant velocity phase of the student:

During this phase, the student maintains a constant velocity equal to that of the bus. The time taken for this phase is 34.30 s.

The distance covered by the student during this time is:

\(s_{constant}_{velocity} = v_{bus}\) * (34.30)

Therefore, the total distance covered by the student is:

Total distance =\(s_{acceleration} + s_{constant}_{velocity}\)

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Answer:

a^2+2ab = 21

(a+b)^2= 25

Step-by-step explanation:

(a+b)^2 = a^+2ab+b^2

sub a=3 and b=2 and simplify  

Answer:

1478

Step-by-step explanation:

54 x 27= 1,478

Answer: 76 feet

Step-by-step explanation:

Given: The pool is a square and has an area of \(121ft^2\).

We know that , area = side²

⇒ side= √area

⇒ side= √121=11 feet

Width of deck  =4 feet

Length of deck around pool = 11+4+4 = 19 feet

Outside perimeter of deck = 4 (19) = 76 feet [since perimeter of square = 4 (side)]

Hence, Outside perimeter of deck = 76 feet

Answer:

Probability of drawing an odd number.

Number of odd numbers = 5

Number of numbers in the set = 10

So it's a 5 in 10 chance or 1 in 2 chance.

Probability of drawing a multiple of 3.

Multiples of 3 in the set = 3, 6 and 9 = 3 multiples of 3

Number of numbers in the set = 10

So it's a 3 in 10 chance

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\mathbf{5(2x - 8) + 15 = 15}\)

\(\huge\textbf{Solving for the equation:}\)

\(\mathbf{5(2x - 8) + 15 = 15}\)

\(\huge\textbf{Distribute 5 within the parentheses: }\)

\(\mathbf{5(2x) + 5(-8) + 15 = 15}\)

\(\mathbf{10x - 40 + 15 = 15}\)

\(\huge\textbf{Combine the like terms:}\)

\(\mathbf{10x + (-40 + 15) = 15}\)

\(\mathbf{10x - 25 = 15}\)

\(\huge\textbf{Add 5 to both sides:}\)

\(\mathbf{10x - 25 + 25 = 15 + 25}\)

\(\huge\textbf{Simplify it:}\)

\(\mathbf{10x = 15 + 25}\)

\(\mathbf{10x = 40}\)

\(\huge\textbf{Divide 10 to both sides:}\)

\(\mathbf{\dfrac{10x}{10} = \dfrac{40}{10}}\)

\(\huge\textbf{Simplify it:}\)

\(\mathbf{x = \dfrac{40}{10}}\)

\(\mathbf{x = 40 \div 10}\)

\(\mathbf{x = 4}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{x = 4}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:  P=20s+14

Step-by-step explanation:

   The perimeter is P=2(W+L)=2[(9s+6)+(s+1)]

   So, P=2[10s+7]=20s+14

   P=20s+14

The perimeter of the rectangle is calculated by using the equation 2× (Length + Width). In this case, the width of the rectangle is (9s+6) cm, and the length is (s+1) cm. Thus, the expression for the perimeter is 2×(10s + 7) cm.

The perimeter of a rectangle is calculated by adding together the lengths of all four sides. Given that the width of the rectangle is (9s+6) centimeters, and the length is (s+1) centimeters, we can write the formula for the perimeter (P) as:

P = 2×(Length + Width)

Substituting values:

P = 2×((s+1) + (9s+6))

Simplify the equation to:

P = 2×(10s + 7)

So, the expression for the perimeter of this rectangle is 2×(10s + 7) centimeters.

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Answer:

I do not know what this is