Pedro and his friends are visiting chocolate shops in Fairview. They take a cab from onechocolate shop to another. On a map, the two are separated by 3 centimeters. If the scale of themap is 1 centimeter = 2 kilometers, then what is the actual distance between the two chocolateshops?

The maximum volume of his box is approximately 15.

The maximum value of a graph that represents a function is the y-value of the vertex of the parabola, that is, the point where the graph begins to shift from increasing to decreasing.

Thus, in the graph given, the volume is plotted on the y-axis. The graph also shows a parabola that has a vertex at y = 15. This represents the maximum value.

The vertex, which is at y = 15, represents the maximum volume of the box.

Therefore, this means that the maximum volume of his box is approximately 15.

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The equation of the parabola that opens up or down, with a vertex at (0, 5) and passing through (-6, 4), is y = (-1/36)x^2 + 5

To find the equation of a parabola that opens up or down given the vertex and a point, we can use the standard form of the equation:

y = a(x - h)^2 + k

where (h, k) represents the vertex of the parabola. In this case, the vertex is (0, 5), so we have h = 0 and k = 5.

Now, we can substitute the given point (-6, 4) into the equation to determine the value of a:

4 = a(-6 - 0)^2 + 5

4 = 36a + 5

36a = -1

a = -1/36

Substituting the value of a back into the equation, we have:

y = (-1/36)(x - 0)^2 + 5

y = (-1/36)x^2 + 5

Therefore, the equation of the parabola that opens up or down, with a vertex at (0, 5) and passing through (-6, 4), is y = (-1/36)x^2 + 5.

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The dependent variable in an experiment is the factor whose value is being measured or observed.

In an experiment, the dependent variable is the factor that is being observed or measured. It is the variable that responds to changes in the independent variable, which is the factor being manipulated or changed in the experiment. The dependent variable is often represented on the y-axis of a graph and is used to analyze and interpret the results of the experiment. For example, in an experiment testing the effect of fertilizer on plant growth, the dependent variable would be the plant growth, as it is being measured in response to the fertilizer treatment. The dependent variable is crucial in experimental design as it helps researchers determine the relationship between the independent variable and the observed outcome.

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There are 30 of 1/10's in the number 3

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

How many 1/10's are in 3?​

The above statement is a quotient expression that has the following features

Dividend = 3

Divisor = 1/10

So, we have

Quotient = Dividend /Divisor

Substitute the known values in the above equation, so, we have the following representation

Quotient = 3/(1/10)

Evaluate

Quotient = 30

Hence, there are 30 1/10's

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Answer:

168

Step-by-step explanation:

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

$7.65 million dollars / $7.55 * 10^6

Step-by-step explanation:

30*1.5=45 seconds

5.1*1.5=7.65

for scientific notation just take the number of zeros and use that for exponent, and make a dot so it is a number less than 10

Answer:

There is a mistake in c in your question i think

Step-by-step explanation:

for the graph your can change the plotting instead of 2,4,6 you can use 1,2,3 and do not forget to plot it proportionately by using a ruler☺

Reaction time refers to the time it takes for someone to respond to a stimulus. It's composed of two components: perception time and decision time.

The time it takes to move your foot from the gas pedal to the brake pedal can be estimated using the formula r=(5 m/s2 )=t1/2 , and the total reaction time is t1+t2. The acceleration magnitude, -a0, can be calculated using this formula: -a0 = Δv/t.

When we use the negative sign in front of the acceleration magnitude, we indicate that it is directed in the opposite direction of motion.

To calculate how far the car in front of you will travel before it stops, use the formula s = vi*t + 0.5*a*t2. The average velocity during this time interval is the displacement divided by the time.

Using the values from parts A and B, the distance you travel before applying the brakes is 44 meters, and the total distance you travel before stopping is 70 meters.

If you do not detect that the car in front of you is braking for one second, you will travel an additional 28 meters.

The recommended safe distance to stay behind a car at 60 mph is 3 car lengths.

The question deals with estimating the reaction time of a driver and the distance one would travel before coming to a halt in an emergency.

It is important to know the reaction time because it can help reduce the number of accidents caused by a driver's lack of responsiveness.

The formula r = (5 m/s2) = t1/2 can be used to estimate the time it takes to move one's foot from the gas pedal to the brake pedal.

This reaction time is composed of two components: perception time and decision time. When a driver detects a stimulus and decides how to react, these two components are used.

The magnitude of acceleration, -a0, can be calculated using this formula: -a0 = Δv/t.

When we use the negative sign in front of the acceleration magnitude, we indicate that it is directed in the opposite direction of motion. This formula assumes that the acceleration is constant, which is reasonable for small time intervals.
The distance that the car ahead of you will travel before stopping can be calculated using the formula s = vi*t + 0.5*a*t2, where s is the distance traveled, vi is the initial velocity, t is the time it takes to stop, a is the acceleration, and t2 is the time it takes to travel s meters.
The average velocity during this time interval is the displacement divided by the time.

To calculate the distance you travel before applying the brakes, use the formula s = vt + 0.5*a*t2. In this case, the distance is calculated using the driver's reaction time, which is t1 + t2.

If you do not detect that the car in front of you is braking for one second, you will travel an additional 28 meters. This suggests that drivers should be cautious and keep a safe distance from the vehicle in front of them to avoid accidents. The recommended safe distance to stay behind a car at 60 mph is 3 car lengths.

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Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/28/20 Time:  11:59 CST

Answer:

B: { (-3, 9), (-2, 4), (2, 4), (3, 9) }

Explanation:

This shows a function because, for each x value, there is not another x value of the same number

I hope this helped answer your question! Have a great rest of your day!

Furthermore,

Chris  

Answer:

\(4 {x}^{3} + 2 {x}^{2} - 8x - 4\)

Step-by-step explanation:

it's simple, just multiply

f.g(x)=(x^2-2)(4x+2)=4x^3+2x^2-8x-4

Step-by-step explanation:

Hi there!

f(x) = x²-2

g(x) = 4x+2

Then;

f(x).g(x) = (x²-2)*(4x+2)

= x²(4x+2) -2 (4x+2)

= 4x³ + 2x² - 8x - 4

Therefore, the answer is f(x).g(x)= 4x³ + 2x² - 8x - 4.

Hope it helps!

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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Answer:

the distance between points M and P

Step-by-step explanation:

i did it

A vertical 1-meter stick casts a shadow of 0.4 meters , then the height of the tree is 30 meters , the correct option is (c) .

We use the concept of proportions to find the height of the tree .

We know that , A vertical stick of 1 meter casts a shadow of 0.4 meters.

We have to find the height of tree which casts a shadow of 12 meter at the same time ,

Let x =  the height of the tree in meters.

So , we can write ,

⇒ 1/0.4 = x/12 ,

Simplifying this proportion:

We get ,

⇒ 0.4x = 12 ,

⇒ x = 12/0.4

⇒ x = 30

Therefore, the height of the tree is Option(c) 30 meters.

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The given question is incomplete , the complete question is

A vertical 1-meter stick casts a shadow of 0.4 meters. If a tree casts a shadow of 12 meters at the same time, how tall is the tree?

(a) 13.4 meters

(b) 12.6 meters

(c) 30 meters

(d) 4.8 meters.

In the experiment, the subject whose behavior is being assessed are observational units. The observational unit in this instance is Harley (Dog).

We will first investigate if canines can comprehend both non-human and human gestures in this investigation. The dogs were placed around 2.5 meters apart from the experimenter so that the researchers could test this. Two glasses were placed one on either side of the experimenter.

A gesture would be made at one of the cups by either the experimenter (pointing, bowing, or staring) or by a non-human object (a mechanical arm pointing, a doll pointing, or a stuffed animal looking). After then, the scientists would observe whether the dog would approach the cup that was pointed out. Six dogs were put to the test. We'll focus on one of the dogs who participated in both of his trial sets.

The four-year-old mixed breed dog was given the name Harley. Each of the ten trials in a set consisted of one gesture and one pair of cups. In order to see if Harley would approach a particular cup, the experimenter bowed toward it during one round of experiments.

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Answer: NONE OF THE ABOVE jk.......the answer is  

The distance between the two new numbers is the same as a + (-b)

Step-by-step explanation:hope this helps:) (i took the checkpoint)

Answer:

0.245

Step-by-step explanation:

Divide both the numerator and denominator by 2.

49/200 will be 24.5/100

If you divide a number by 100, you move the decimal place 2 digits to the left. 24.5/100 will become 0.245

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

Option B is correct. 0.39 goldfish per cubic feet is the density of the tank given that there are 22 goldfishes and volume of the tank is 56 cubic feet. This can be obtained by using the formula of density.

Given that there are 22 goldfishes,

mass of tank = 22 goldfishes

volume of tank = 56 cubic feet

                      = 22/56

                      = 0.39 goldfish per cubic feet

Hence 0.39 goldfish per cubic feet is the density of the tank given that there are 22 goldfishes and volume of the tank is 56 cubic feet.

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Answer: 0.39 goldfish

Step-by-step explanation:

The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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2.5% of the boxes weights are more than 2 standard deviations below the mean.

The empirical rule states that for a normal distribution, 95% of the data are within two standard deviations from the mean.

The mean is 16 ounces and a standard deviation is 0.5 ounces.

Hence:

95% is within 16 ± 2(0.5) = (15, 17)

number above 2 standard deviation = 5%/2 = 2.5%

2.5% of the boxes weights are more than 2 standard deviations below the mean.

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Answer:

2 x 3 x 5²

Step-by-step explanation:

The number 150 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 150.

Step 1: The first step is to divide the number 150 with the smallest prime number, say 2.

150 ÷ 2 = 75

Step 2: You will get a fractional number if you divide 75 by 2. Continue with the next prime number, say 3.

75 ÷ 3 = 25

Step 3: Again you will get a fractional value when you divide 25 by 3 hence, continue with the next prime number say 5.

25 ÷ 5 = 5

5 ÷ 5 = 1

Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 150 are written as 2 x 3 x 5 x 5 or 2 x 3 x 5², where 2, 3 and 5 are the prime numbers.

The solution is, : 150 as a product of primes is, 2 x 3 x 5², where 2, 3 and 5 are the prime numbers.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

The number 150 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 150.

Step 1: The first step is to divide the number 150 with the smallest prime number, say 2.

150 ÷ 2 = 75

Step 2: You will get a fractional number if you divide 75 by 2. Continue with the next prime number, say 3.

75 ÷ 3 = 25

Step 3: Again you will get a fractional value when you divide 25 by 3 hence, continue with the next prime number say 5.

25 ÷ 5 = 5

5 ÷ 5 = 1

Finally, we received the number 1 at the end of the division process. So that we cannot proceed further.

So, the prime factors of 150 are written as 2 x 3 x 5 x 5 or 2 x 3 x 5², where 2, 3 and 5 are the prime numbers.

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Answer:

x = 7.5

Step-by-step explanation:

Answer:

X is 7.5

Step-by-step explanation:

36 ÷ by 3 = 12

12 - 4.5 =7.5

Therefore X is 7.5.

Hope this Helps!

Answer:

Sorry This Is Late

The Answer Is "g(x)= 3^(x+1)-2"

Step-by-step explanation:

I Just Took The Test :)

For the situation in part (b), the boundary condition is given by B·n = μ_0J/2πa, where n is the unit normal vector to the surface of the wire and J is the current density. This is consistent with the magnetic

(a) The magnetic field outside the wire is given by B = μ_0I/2πs, where I is the current and s is the distance from the axis of the wire. The magnetic field inside the wire is zero.

(b) The magnetic field outside the wire is given by B = μ_0J/2πs, where J is the current density and s is the distance from the axis of the wire. The magnetic field inside the wire is given by B = μ_0J/2πa, where a is the radius of the wire.

(c) For the situation in part (a), the boundary condition is given by B·n = μ_0I/2πa, where n is the unit normal vector to the surface of the wire and I is the current. This is consistent with the magnetic field outside the wire, which is given by B = μ_0I/2πs.

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Answer:

Step-by-step explanation:

i have no clue

Answer:

I love algebra anyways

the ans is in the picture with the steps

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The solution to the proportion is x = ±15.

To solve the given proportion, we can cross multiply.

Cross multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and multiplying the denominator of the first fraction with the numerator of the second fraction.

So, we have:
(4x) * (x) = (15) * (60)

Simplifying this equation, we get:
4x^2 = 900

Now, divide both sides of the equation by 4:
x^2 = 225

To find the value of x, take the square root of both sides:
x = ±15

Therefore, the solution to the proportion is x = ±15.

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