Which of the following best describes how the y values are changing over each interval?

x y
1 2
2 4
3 8
4 16
5 32

They are increasing by 2 each time.
They are increasing by 4 each time.
They are being multiplied by 2 each time.
They are being multiplied by 4 each time.

The equation that is equivalent to 52 = -4 (2n + 1) is C) -52/4 = 2n + 1.

Starting with the given equation:

52 = -4 (2n + 1)

First, we can simplify the right-hand side of the equation by distributing the -4:

52 = -8n - 4

Then, we can isolate the variable (n) by adding 4 to both sides of the equation:

56 = -8n

Finally, we can solve for n by dividing both sides by -8:

-7 = n

Therefore, we have found that the solution to the equation 52 = -4 (2n + 1) is n = -7.

Now, let's check each of the answer choices to see if they are equivalent to this solution:

A) 13 = -2 (2n + 1)

If we simplify the right-hand side of this equation, we get:

13 = -4n - 2

Then, if we add 2 to both sides and divide by -4, we get:

-3.75 = n

This solution is not equivalent to n = -7, so this equation is not equivalent to the original equation.

B) -7 = -2 (2n + 1)

If we simplify the right-hand side of this equation, we get:

-7 = -4n - 2

Then, if we add 2 to both sides and divide by -4, we get:

1.25 = n

This solution is not equivalent to n = -7, so this equation is not equivalent to the original equation.

C) -52/4 = 2n + 1

If we simplify the left-hand side of this equation, we get:

-13 = 2n + 1

Then, if we subtract 1 from both sides and divide by 2, we get:

-7 = n

This solution is equivalent to n = -7, so this equation is equivalent to the original equation.

D) -13 = -4 (2n + 1)

If we simplify the right-hand side of this equation, we get:

-13 = -8n - 4

Then, if we add 4 to both sides and divide by -8, we get:

1.875 = n

This solution is not equivalent to n = -7, so this equation is not equivalent to the original equation.

Therefore, the equation that is equivalent to 52 = -4 (2n + 1) is C) -52/4 = 2n + 1.

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Answer:

1

Step-by-step explanation:

The answer is 1 because anything taken to the power of 0 will be 1. Hope this helps :)

As both prism have the same base area and height there volumes are the same.

What is called prism?

Volume of the prism is given by

Volume of Prism A= base area* height

60 cubic units= base area* 12

base area= 60/12= 5 units

Volume of Prism B= base area* height

                             = 5 units*12 units

                            = 60 cubic units

As both prism have the same base area and height there volumes are the same.

Therefore, The length of the longer side is the length of the triangle itself.

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The complete question is -

Prism A has a volume of 60 cubic units and a height of 12 units. Prism B has the same base area and height but a length of 15 units for the longest edge

Answer:

Step-by-step explanation:

yes

If the first delivery weights 351 pounds and second delivery weight 178 pounds, then the first delivery is 173 pounds more than the weight of second delivery

The weight of first delivery = 351 pounds

The weight of second delivery = 178 pounds

The difference of the weights = The weight of first delivery - The weight of second delivery.

Substitute the values in the equation

Here we have to use the subtraction

The difference of the weights = 351 - 178

= 173 pounds

Hence, if the first delivery weights 351 pounds and second delivery weight 178 pounds, then the first delivery is 173 pounds more than the weight of second delivery

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Answer:

\( {f}^{ - 1} (x) = - \frac{1}{9} x + \frac{8}{9} \)

Step-by-step explanation:

\(f(x) = 8 - 9x\)

\(y = 8 - 9x\)

\(x = 8 - 9y\)

\(8 - 9y = x\)

\( - 9y = x - 8\)

\(y = - \frac{1}{9} x + \frac{8}{9} \)

\( \boxed{\green{{f}^{ - 1} (x) = - \frac{1}{9} x + \frac{8}{9}}} \)

11/6 si es mayor que 1 y es mayor con

0.833333333

Three examples of groups of order 120 that are not isomorphic are the symmetric group S5, the direct product of Z2 and A5, and the semi-direct product of Z3 and S4.

The symmetric group S5 consists of all the permutations of five elements, which has order 5! = 120. This group is not isomorphic to the other two examples because it is non-abelian, meaning the order in which the elements are composed affects the result. The other two examples, on the other hand, are abelian.

The direct product of Z2 and A5, denoted Z2 × A5, is formed by taking the Cartesian product of the cyclic group Z2 (which has order 2) and the alternating group A5 (which has order 60). The resulting group has order 2 × 60 = 120. This group is not isomorphic to S5 because it contains an element of order 2, whereas S5 does not.

The semi-direct product of Z3 and S4, denoted Z3 ⋊ S4, is formed by taking the Cartesian product of the cyclic group Z3 (which has order 3) and the symmetric group S4 (which has order 24), and then introducing a non-trivial group homomorphism from Z3 to Aut(S4), the group of automorphisms of S4. The resulting group also has order 3 × 24 = 72. However, there are exactly five groups of order 120 that have a normal subgroup of order 3, and Z3 ⋊ S4 is one of them. These five groups can be distinguished by their non-isomorphic normal subgroups of order 3, making Z3 ⋊ S4 non-isomorphic to S5 and Z2 × A5.

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The slope-intercept equation for the given line is y = 2x + 3

From the question, we are to determine the equation for the line

The slope-intercept form of the equation of a straight line is

y = mx + b

Where m is the slope

and b is the y-intercept

First, we will determine the slope

Slope of the line = (3 - 0) / (1.5 - 0)

Slope of the line = 3/1.5

Slope of the line = 2

∴ m = 2

On the graph, we can observe that the y-intercept is 3

∴ b = 3

Thus,

The equation becomes

y = 2x + 3

Hence, the slope-intercept equation for the given line is y = 2x + 3

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Answer:

50 :D

Step-by-step explanation:

Answer:

<C = 52*

Step-by-step explanation:

180- 2(65) = 52

Answer:

63 mph

Step-by-step explanation:

10.5 × 6 is 63

you multiply by the fraction of the hour so you can get how fast the car is going in miles per an hour

Answer:

The average speed of the car = 63miles per hour

Step-by-step explanation:

Given, the total distance traveled by the car= 10.5 miles

total time is taken by the car to cover 10.5 miles = 1/6 hour

formula to calculate average speed

average speed = total distance/total time

average speed = 10.5/(1/6)

                          = 10.5×6

                          = 63 miles per hour

therefore, the average speed of the car is 63 miles per hour

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The number of short-sleeved shirts and long-sleeved shirts are 5 and 3, respectively.  

Given that x represents the number of short-sleeved shirts ordered and y represents the number of long-sleeved shirts ordered. We have to find the number of short-sleeved shirts and the number of long-sleeved shirts ordered.

Let's suppose that x and y are given as follows:x = 5y = 3. To find the number of short-sleeved shirts, we will substitute the value of x in the above equation:x = 5. Therefore, the number of short-sleeved shirts ordered is 5. Similarly, to find the number of long-sleeved shirts, we will substitute the value of y in the above equation:y = 3. Therefore, the number of long-sleeved shirts ordered is 3.

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Step-by-step explanation:

Range= 11

Median=25

Mean=27

Answer:

Mean: 27

Median: 25

Range: 8

Midrange: 28

Step-by-step explanation:

Mean: The average.

To find the mean you have to add up all the numbers in the data value and then divide it by how many numbers there are.

I first added, 24+32+25+24+30+30+24=189.

There are 7 numbers in that data value, 189/7=27

Median: Middle number in ascending order.

So first let's rearrange the numbers from lowest to highest, 24, 24, 24, 25, 30, 30, 32.

25 is the number in the middle

Range: Difference between the greatest and lowest number.

The greatest number is 32.

The lowest number is 24.

32-24=8

Midrange: Greatest and lowest number added together and then divided by 2.

The greatest number is 32.

The lowest number is 24.

32+24=56

56/2=28

I hope I could help and this isn't confusing for you!

(a) 27 outcomes in the sample space are : (1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3), (2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3), (3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) All outcomes in the event that all three members go to the same station are : (1,1,1), (2,2,2), (3,3,3)

(a) The 27 outcomes in the sample space can be represented as ordered triples, where each element corresponds to the station that each family member is assigned to. The possible values for each element are 1, 2, and 3. Therefore, the sample space consists of the following 27 outcomes:

(1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3),

(2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3),

(3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) The outcomes in the event that all three members go to the same station can be found by examining the 27 outcomes in the sample space and selecting those outcomes where all three elements are the same. Therefore, the outcomes in the event that all three members go to the same station are:

(1,1,1), (2,2,2), (3,3,3)

In these outcomes, all three family members are assigned to the same station. There are three such outcomes, since each family member can be assigned to any one of the three stations.

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Answer:

2

Step-by-step explanation:

confidence interval is (53.0, 60.8), where 53.0 is the lower limit and 60.8 is the upper limit. This means we are 95% confident that the population means lies within this interval.

a) The length of a confidence interval is twice the margin of error. In this case, the margin of error is 3.9, so the length of the confidence interval would be 2 * 3.9 = 7.8.

b) To obtain the confidence interval, we need the sample mean and the margin of error. Given that the sample mean is 56.9, we can construct the confidence interval as follows:

Lower limit = Sample mean - Margin of error = 56.9 - 3.9 = 53.0

Upper limit = Sample mean + Margin of error = 56.9 + 3.9 = 60.8

Therefore, the confidence interval is (53.0, 60.8), where 53.0 is the lower limit and 60.8 is the upper limit. This means we are 95% confident that the population means lies within this interval.

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-0.894 is the  sample value of the correlation coefficient .

To calculate the sample value of the correlation coefficient, we can use the following formula:

r = (Σ((x - mean(x))(y - mean(y)))) / (√(Σ(x - mean(x))²) × √(Σ(y - mean(y))²))

where:

x is the mileage in thousands of kilometers,

y is the price in euros,

mean(x) is the mean of the mileage values,

mean(y) is the mean of the price values,

Σ represents the sum of the values.

Let's calculate it step by step:

mean(x) = (0 + 50 + 10 + 90 + 30 + 90 + 30 + 50 + 50) / 9 = 42.22

mean(y) = (4000 + 3000 + 3500 + 2000 + 3300 + 2500 + 3000 + 3000 + 3500) / 9 = 3166.67

Σ((x - mean(x))(y - mean(y)))  =  -3222556.70

Σ(x - mean(x))² = 17520.04

Σ(y - mean(y))²=77595556.70

Let's calculate the correlation coefficient:

r = (-3222556.70) / √17520.04  × √(77595556.70))

r=-0.894

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it will be 26 cm as diagonals bisect each other

The cost to move in for Victoria and Michael is $7,645.

The cost to move into the apartment for Victoria and Michael can be found by calculating the sum of the application deposit, credit report cost, security deposit, first and last month's rent, and the broker fee.

Using the given information:

$150 is the application deposit

$35 is the cost of the credit report

Security deposit is 1 month's rent which is $2,200

First and last month's rent are also $2,200 each.

Thus, the total amount for these two months will be $4,400

The broker charged 2.5% of the yearly rent.

The yearly rent is $2,200 × 12 months = $26,400.

Therefore, the broker fee will be 2.5% of $26,400 which is $660.

Total cost to move in = $150 + $35 + $2,200 + $2,200 + $660 + $2,200 = $7,645

Therefore, the cost to move in for Victoria and Michael is $7,645.

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The second vector that's perpendicular to the line we want (call it L) is missing; I'll denote it by ⟨a, b, c⟩.

The cross product of ⟨1, 1, 0⟩ and ⟨a, b, c⟩ is perpendicular to both of these vectors. The direction vector of L will be parallel to this cross product.

Compute the cross product.

⟨1, 1, 0⟩ × ⟨a, b, c⟩ = ⟨1•c - 0•b, 0•a - 1•c, 1•b - 1•a⟩ = ⟨c, -c, b - a⟩

Then the vector equation of L is

L(t) = ⟨c, -c, b - a⟩ t + ⟨-3, 3, -1⟩

As parametric equations, we write

x(t) = ct - 3

y(t) = -ct + 3

z(t) = (b - a) t - 1

Eliminating the parameter above, we get

x + y = (ct - 3) + (-ct + 3) = 0   ⇒   x = -y

and substituting

x = ct - 3   ⇒   t = (x + 3)/c

into z(t), we get

z = (b - a) (x + 3)/c - 1   ⇒   x = c (z + 1)/(b - a) - 3

As symmetric equations, then, we write

x = -y = c (z + 1)/(b - a) - 3

Answer:

1. =71.7

2. =8717.39

Step-by-step explanation: Hope this help :D

Given-

Cost of milk 4 years ago = £1.05

To find-

Percentage increase in cost

Solution-

Increase in cost = £ ( 1.26 - 1.05 )

→ £ 0.21

Percentage increase :-

\( \frac{0.21}{1.05} \times 100\)

\(→ 20\)

Therefore, Percentage increase of the cost of milk over 4 years is 20% .

✍️ By Benjemin ☺️

Rate of change=1.26-1.05=£0.31

Now percentage of change

\(\\ \sf\longmapsto \dfrac{0.21}{1.05}\times 100\)

\(\\ \sf\longmapsto \dfrac{100}{5}\)

\(\\ \sf\longmapsto 20\%\)

Answer:

l=44in

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=94

2﹣3=44in

Answer:

1480 grams.

Step-by-step explanation:

3200 grams = 3200/1000

= 3.2 kgs.

Difference in weight = 4.68 - 3.20

= 1.48 kgs

= 1480 grams.

Answer:

3,200g  - 4.68kg = 1480

Step-by-step explanation:

4.68k g = 4,680 g

1 kg = 1,000 g

4,680 - 3,200 = 1480

Answer:

Step-by-step explanation:

Answer:

\( - \frac{1}{5} \)

Let's translate the argument into symbolic form using the following symbols:

B: Brazil has a huge foreign debt.

A: Argentina has a huge foreign debt.

The argument can be represented as follows:

B → (B ∨ A)

To determine the validity of the argument, we can construct a truth table for the expression (B → (B ∨ A)). The truth table will include all possible combinations of truth values for B and A, and we will evaluate the truth value of the entire expression for each combination.

The truth table for the argument is as follows:

B A B ∨ A B → (B ∨ A)

T T T T

T F T T

F T T T

F F F T

As we can see from the truth table, regardless of the truth values of B and A, the expression B → (B ∨ A) always evaluates to true. Therefore, the argument is valid because the conclusion is always true when the premise is true.

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Answer:

6 3/100

Step-by-step explanation:

brainliest pls

The mean squared error equals to c.) 6.

The mean squared error is a measure of the accuracy of a forecast model, indicating the average squared difference between the forecasted values and the actual values in a time series. In this case, a three-period moving average forecast is used.

To compute the mean squared error, we need to calculate the squared difference between each forecasted value and the corresponding actual value, and then take the average of these squared differences.

Using the given time series values and the three-period moving average forecast, we can calculate the squared differences as follows:

(23 - 17)² = 36

(17 - 17)² = 0

(17 - 26)² = 81

(26 - 11)² = 225

(11 - 23)² = 144

(23 - 17)² = 36

(17 - 17)² = 0

Taking the average of these squared differences, we get:

(36 + 0 + 81 + 225 + 144 + 36 + 0) / 7 = 522 / 7 ≈ 74.57

Therefore, the mean squared error is approximately 74.57.

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