A car that travels 20 miles in $$ hour at constant speed is traveling at the same speed as a car that travels 30 miles in $$ hour at a constant speed. Explain or show why. You may use the interactive double number line or table to help communicate your thinking.

Answer: 42.99

Step-by-step explanation:

42.988. Since 8 is close to ten and is in the hundredth we round it hence 42.99.

From the recursive rule

\(a_n = a_{n-1}-13\)

it follows that

\(a_{n-1}=a_{n-2}-13 \implies a_n = a_{n-2} - 2\times13\)

\(a_{n-2}=a_{n-3}-13 \implies a_n = a_{n-3} - 3\times13\)

and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with

\(a_n = a_1 + (n-1)\times13\)

so that the explicit rule for the n-th term in the sequence is

\(a_n = -2 + 13(n-1) \implies a_n = \boxed{13n-15}\)

A histogram is an effective way to present and analyze the center, shape, and spread of continuous data, allowing the student to gain a better understanding of the distribution of rent amounts in the Gainesville area.

To study the center, shape, and spread of the data for the amount spent on rent for apartments in the Gainesville area, the student would typically create a histogram.

A histogram is a type of graph that represents the distribution of continuous data by dividing it into intervals, or bins, and displaying the frequency or count of data points falling within each interval. It provides insights into the center (central tendency), shape, and spread (dispersion) of the data.

In the student's case, the amount spent on rent for apartments would be the continuous variable, and the student would group the data into intervals (e.g., rent ranges) and count the number of apartment complexes falling within each interval.

By creating a histogram, the student can visually analyze the distribution of rent amounts, identify the most common rent ranges (mode), and observe the shape of the distribution (symmetric, skewed, etc.). The histogram can also provide insights into the spread of the data, such as the range of rent amounts and the presence of outliers.

Overall, a histogram is an effective way to present and analyze the center, shape, and spread of continuous data, allowing the student to gain a better understanding of the distribution of rent amounts in the Gainesville area.

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The parametric equations of the line of intersection between the planes x - y + z = 0 and x + 2y + 3z = 6 are x = 2t + 6, y = t, and z = -t - 6.



To find the parametric equations of the line of intersection between two planes, we need to determine a point on the line and find its direction vector.

First, we solve the system of equations formed by the two planes: x - y + z = 0 and x + 2y + 3z = 6. By eliminating x, we get -3y - 2z = -6.Setting y = t and z = s as parameters, we can express the point on the line as (x, y, z) = (2t + 6, t, s).Now, substituting these values into the first equation, we obtain 2t + 6 - t + s = 0, which simplifies to t + s = -6.

Therefore, the parametric equations for the line of intersection are:

x = 2t + 6

y = t

z = -t - 6, where t and s are parameters.

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1)The slope of the line is C) 13. 2)It would be inefficient since it is not the most optimal use of resources.the correct option is C. 3)The equilibrium price and quantity are D) $25 and 10 dozens of roses per day, respectively.

1) Y = 13X + 38, where Y is a function of X.

The slope of the line is 13.

Therefore, the correct option is C.

2) Kolin catches 25 fish and gathers 70 fruits. If we consider the combination, then it would be inefficient since it is not the most optimal use of resources.

Therefore, the correct option is C.

3) Using the given figure, we can see that the point where the demand and supply curves intersect is the equilibrium point. At this point, the equilibrium price is $25 and the equilibrium quantity is 10 dozens of roses per day.

Therefore, the correct option is D. The equilibrium price and quantity are $25 and 10 dozens of roses per day, respectively.

Note that this is the point of intersection between the demand and supply curves, which represents the market equilibrium.

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Answer:

y = 4

Step-by-step explanation:

an horizontal line has always the same y (in this case is 4)

The residuals should show no pattern around the horizontal axis.

You obtain a line of best fit when you execute simple linear regression (or any other kind of regression analysis). Typically, the data points are dispersed rather than falling exactly on this regression equation line. The vertical separation between a data point and the regression line is known as a residual. There is one residual for every data point. As follows:

If they are above the regression line and below it, they are positive and vice versa, respectively.

If the regression line actually crosses the spot, the result is zero.

Hence, the residuals should show no pattern around the horizontal axis.

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The correct question is:

We can plot the residuals sequentially over time to look for correlated observations. if there is no violation, then what would you see?

The residuals should show normal pattern around the vertical axis.

The residuals should show normal pattern around the horizontal axis.

The residuals should show no pattern around the horizontal axis.

The residuals should show no pattern around the vertical axis.

Answer:

y = -2/1x+8

Step-by-step explanation:

slope is -2/1

intercepts y at 8

Answer:64

Step-by-step explanation:

Hope this helped

Surface area of a cuboid

= [2(length)(width)] + [2(width)(height)] + [2(height)(length)]

= {[2(4)(2.5)] + [2(2.5)(2)] + [2(2)(4)]} units²

= (20 + 10 + 16) units²

= 46 units²

Answer:

-1

Step-by-step explanation:

Let's assume 100 as the number. 80% of that number is 80. That's A. And since 80 is two-thirds of that number, the second number has to be 120. Simplifying that would give 5/6. 5-6 = -1

Answer: 1:1.2

       1-1.2= -0.2

Step-by-step explanation:

x = first number

y = second number

80/100*x (80 percent of one number)

2/3*y       (two thirds of the second number)

equating

  80/100*x=2/3*y

=   1.2=y

substituting:

      80/100*x = 2/3 * 1.2

= x=1

substituting the value of x in the original equation

 80/100 * 1 = 2/3 * y

= y=1.2

so, x=1, y=1.2

x:y

=1:1.2

x-y= 1 - 1.2 = -0.2

Answer:

x^2+x-42=0 (standard form)

Step-by-step explanation:

Answer:

Surface Area = 150.8 square inch

Step-by-step explanation:

\(Surface \ Area = 2 \pi r h + 2 \pi r^2 \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ r = 4 , \ h = 2 \ ] \\\\\)

                    \(= 2 \pi \times 4 \times 2 + 2 \pi 4^2\\\\=16 \pi + 32 \pi \\\\= 48 \pi \\\\= 150.796 \\\\=150.8 \ square \ inch\)

Answer:

a≥16

Step-by-step explanation:

1. Move the terms

2. caculate

3. Divide both sides.

Answer: = a ≥ 16

Step-by-step explanation:

−3.6 ≥ −0.3a + 1.2  

−0.3a + 1.2 ≤ −3.6

−0.3a + 1.2 − 1.2 ≤ −3.6 − 1.2

−0.3a ≤ −4.8

−0.3a /−0.3  ≤  −4.8 /−0.3

= a ≥ 16

Answer:

The last one.

Step-by-step explanation:

2(x + 3)

= 2*x + 2*3

= 2x + 6.

Answer:

G. -5/2

Step-by-step explanation:

First we want to distribute the 6 into q and 3.

6q + 18 = 2(q + 4)

Next distribute the 2 into q and 4.

6q + 18 = 2q + 8

Now the variable needs to be on one side of the equation. Subtract 2q from  both sides.

4q + 18 = 8

Isolate the variable. Subtract 18 from both sides.

4q = -10

Divide 4 on both sides.

q = -10/4

We can now simplify this even further. Divide -10/4 by 2/2

q = -5/2

Answer:

Sample Response: To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses. The products are 2(11) and 2(y). The equivalent expression is 22 + 2y

Step-by-step explanation:

you're welcome

Answer: Let's use the following system of equations to represent the given information:

h + c = 131    (the total number of burgers sold is 131)

2.5h + 2.75c = 342    (the total value of the burgers sold is $342)

where h represents the number of hamburgers sold and c represents the number of cheeseburgers sold.

We can use the first equation to solve for one of the variables in terms of the other:

h + c = 131

h = 131 - c

Substituting this into the second equation, we can solve for c:

2.5h + 2.75c = 342

2.5(131-c) + 2.75c = 342

327.5 - 2.5c + 2.75c = 342

0.25c = 14.5

c = 58

So, 58 cheeseburgers were sold. We can use the first equation to find the number of hamburgers sold:

h + c = 131

h + 58 = 131

h = 73

Therefore, 73 hamburgers were sold.

Let x be the number of medium bags of chips that Bradford bought. Then, he bought 20 - x large bags of chips.

According to the problem, the total cost of the chips was $53. We can set up an equation for the total cost in terms of x:

diff

2x + 3(20-x+6) = 53

2x + 54 - 3x + 18 = 53

-x = -19

x = 19

So, Bradford bought 19 medium bags of chips and 20 - 19 = 1 large bag of chips.

Enjoy!

Step-by-step explanation:

Answer: y = -1/2x + 6

Step-by-step explanation: you find slope using rise over run, so all you have to do is set up the equation. y2-y1 divided by x2-x1. That would give you -1/2 for your slope. If you draw out the graph, the y-intercept is 6.

Answer:

Step-by-step explanation:

Answer:x is less than 4

Step-by-step explanation:

Answer:

The correct answer is y = -6x - 4

Step-by-step explanation:

The given equation of the line : y = -6x + 2

Now, the general equation of the line in the slope-intercept form is given by : y = mx + c

Now, comparing the given equation with the general form, We get slope, m = -6

We need to find the equation of the line which is parallel to the given line and since the slope of two parallel lines are equal so the slope of the required line will also be -6

And it passes through the point (-1, 2)

The required equation will be :

⇒ y - 2 = -6 × (x + 1)

⇒ y - 2 = -6x - 6

⇒ y = -6x - 4

Therefore, The required equation is y = -6x -4

Hence, The correct answer is. y = -6x - 4

Brainlist?????

Answer: The probability of selecting a mint 1/6

Step-by-step explanation:

the jar contains 30 different candies

out of the 30, 5 are mints

5/30 = 1/6

Answer:

C

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

(central angle is equal to the measure of the arc, that is 30° )

A = πr² × \(\frac{30}{360}\)

   = π × 12² × \(\frac{1}{12}\)

   = 144π ÷ 12

   = 12π

    ≈ 37.7 cm² ( to the nearest tenth )

Answer:

153

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Add all of the numbers, and divide by the amount of numbers. In this instance, all four added together numbers is 52, and divided by 4 is 13. Hope this helps!

Answer:

The answer is 13.

Step-by-step explanation: In order to find the average in a set of numbers, you must add all numbers and divide them by the numbers of numbers which you have added.

For example for your problem, I added 12 + 4 +16 +20 and I got 52. Then count the numbers which u have added. There are 4 numbers I have added. Then divide that number by the total. So it would be 52/4 and once you divide, you have your answer!

Hope this helps!

We need a sample size of at least 97 to estimate the population mean with a margin of error of 2 or less and a .95 probability when the population standard deviation equals 11.

To estimate a population mean with a certain level of confidence and a specific margin of error, we use a formula that requires knowledge of the population standard deviation. In this case, we are given that the population standard deviation is 11. The formula we use is:

n = [(z*σ)/E]^2

Where:

n = sample size needed
z = the z-score corresponding to the desired level of confidence (in this case, .95 corresponds to a z-score of 1.96)
σ = the population standard deviation (in this case, 11)
E = the desired margin of error (in this case, 2)

Substituting in the values given, we get:

n = [(1.96*11)/2]^2
n = 96.04

We round up to the nearest whole number, since we need a whole number of participants. Therefore, we need a sample size of at least 97 to estimate the population mean with a margin of error of 2 or less and a .95 probability when the population standard deviation equals 11.

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Answer:

solution:7c+5

The unknown values in the triangle are ;

a = 45.3

angle B = 7°

angle A = 28°

In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.

Therefore,

a/sinA = b/sinB = c/sinC

So, we use the Sine rule to find the values of unknown lengths or angles of the triangle.

b/sinB = c/sinC

7/sinB = 33/sin145

33sinB = 7 sin145

33 sinB = 4.02

sinB = 0.122

B = 7°

angle A = 180-(145+7)

A = 180- 152

A = 28°

a/sinA = c/sinC

a/sin28 = 33/sin145

asin145 = 33sin128

0.574a = 26

a = 26/0.574

a = 45.3

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Answer:

Options B, C and D

Step-by-step explanation:

Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.

In other words, pair of supplementary angles is the linear pair.

From the figure attached,

Pair of the linear angles are,

1). ∠BAC and ∠CAD

2). ∠BAE and ∠EAD

3). ∠EAD and ∠DAC

Therefore, Options B, C and D are correct.

Answer:

B, C, and D

Step-by-step explanation:

Answer:

0.7 is a rational number

Step-by-step explanation:

Rational numbers are defined as numbers that result when two integers are divided.