10 POINTS! HELP ITS DUE SOON!!
Write the series using summation notation.

(Look at image)

Step-by-step explanation:

15/4 ÷ 5/8

15/4×8/5

3×2

=6

Answer:

6

Step-by-step explanation:

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

# defining function to calculate total cost

def total_cost(units):

   if units <= 500:

       return units * 0.02

   elif units <= 1000:

       return (500 * 0.02) + ((units - 500) * 0.05)

   else:

       return (500 * 0.02) + (500 * 0.05) + ((units - 1000) * 0.10)

# Driver Code

consumptions = [200, 500, 700, 1000, 1500]

for i in consumptions:

   total = total_cost(i)

   print("Total cost of Electricity for", i, "units is", round(total + 5, 2))

Output:

Total cost of Electricity for 200 units is 9.0

Total cost of Electricity for 500 units is 15.0

Total cost of Electricity for 700 units is 25.0

Total cost of Electricity for 1000 units is 40.0

Total cost of Electricity for 1500 units is 90.0

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

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Answer:

12

..... ....... ......

Answer:

28, 36, 40

Step-by-step explanation:

Add up the numbers in the ratio, giving us 26. Perimeter divided by 26 equals 4. Then, four times each of the numbers in the ratio gives you the lengths

The force exerted by the gas on one of the walls of the container is 2.795 × 10¹¹ N.

The force exerted by the gas on one of the walls of the container can be calculated using the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the temperature from Celsius to Kelvin by adding 273.15. So, T = 20.0°C + 273.15 = 293.15 K.

Next, we can calculate the number of moles of gas using Avogadro's number, which is approximately 6.022 × 10²³ molecules per mole. Since the container contains three times Avogadro's number of molecules, it contains 3/6.022 × 10²³ = 4.977 × 10²² moles of gas.

The volume of the container is given as 30.0 cm × 30.0 cm × 30.0 cm = 27,000 cm³. We need to convert this to liters by dividing by 1000, so V = 27,000 cm³ ÷ 1000 = 27 L.

The gas constant R is equal to 0.08206 L·atm/(mol·K), so we can now plug in all the values and solve for the pressure:

PV = nRT
P × 27 L = 4.977 × 10²² mol × 0.08206 L·atm/(mol·K) × 293.15 K
P = (4.977 × 10²² × 0.08206 × 293.15) / 27
P = 3.105 × 10¹² atm

Therefore, the force exerted by the gas on one of the walls of the container is equal to the pressure times the area of the wall. Since the container is a cube with sides of 30.0 cm, the area of each wall is 30.0 cm × 30.0 cm = 900 cm². We need to convert this to square meters by dividing by 10,000, so the area is 0.09 m².

The force exerted on one wall is then:

F = P × A
F = 3.105 × 10¹² atm × 0.09 m²
F = 2.795 × 10¹¹ N

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Using PEMDAS rule , we can evaluate the provide expression . The required result is thirteen that's the value is L= 13.

PEMDAS order of operations: The order of operations is a rule that tells the correct sequence of steps for evaluating a given mathematical expression. We can remember the order using "PEMDAS" where

P --> Parentheses

E --> Exponents (2⁵ is 2 raised to the power of 5)

M------> Multiplication and

D---->Division (from left to right)

A--->Addition

S--->Subtraction (from left to right).

We have given that

3/4 ( 2³ + 4² )

let given expresion equal to L i.e

L = 3/4 ( 2³ + 4² )

Now, we have to solve it

Using "PEMDAS" rule ,

L = 3/4 ( 2³ + 4²)

= 3/4 ( 8 + 4²)

= 3/4 ( 8 + 16 )

= 3/4 ( 24)

= 3/4 ×24

= 24×3/4

= 72/4

L = 1 3

Hence, the given expresion is equal to 13 .

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Answer:

9

Step-by-step explanation:

4-x = 5(16-x)

44-x = 80-5x

4x = 36

x = 9

Answer:

Answer A - (0,2), (2,-1)

Step-by-step explanation:

GRAPH FOR EQUATION GRAPHED BELOW

If we look at the graph it goes through points (0,2), (2,-1)

The distance from Brad's house to the park is approximately 6.63 km. To solve the question, we'll need to use the information provided about Brad jogging and walking, and the total time taken for both trips.

Let d be the distance from his house to the park. Since we know the speeds at which Brad jogged and walked, we can use the formula:
time = distance/speed
The time taken jogging to the park would be (d/12) hours, and the time taken walking back would be (d/7) hours. According to the problem, the total time for both trips is 1.5 hours. Therefore:
(d/12) + (d/7) = 1.5
Now, we need to solve for d:
1. Multiply both sides by the least common multiple of 12 and 7, which is 84, to eliminate the fractions:
84(d/12) + 84(d/7) = 1.5 * 84
2. Simplify the equation:
7d + 12d = 126
3. Combine like terms:
19d = 126
4. Divide by 19:
d = 6.63 (approximately)
So, the distance from Brad's house to the park is approximately 6.63 km. Keep in mind the question asked for the distance to the gym, but the information provided was about Brad's trip to the park. Assuming it was a typo, the answer is 6.63 km.

We can start by using the formula:
distance = rate x time
Let d be the distance from Brad's house to the park. We know that he jogged to the park at 12km/hr, so the time it took him to get there can be expressed as:
time = distance/rate
time = d / 12
On the trip back, he walked the same route at 7km/hr, so the time it took him to get back can be expressed as:
time = distance/rate
time = d / 7
We also know that the total time for both trips was one and a half hours or 1.5 hours. So we can write an equation based on this information:
d/12 + d/7 = 1.5
To solve for d, we can first simplify the equation by finding a common denominator:
(7d + 12d) / (7 x 12) = 1.5
19d / 84 = 1.5
Multiplying both sides by 84 gives:
19d = 126
Dividing both sides by 19 gives:
d = 6.63 km
Therefore, the distance from Brad's house to the park (and gym, assuming that's what was meant in the question) is approximately 6.63 km.

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Thus, while a chi-square test for goodness of fit is a useful tool for assessing the overall fit of a logistic regression model, it is important to also consider other measures of model fit and to interpret the results in the context of the research question being addressed.

When testing the goodness of fit for the logistic regression model, if the obtained chi-square is less than the critical value, one would accept the null hypothesis, which states that the model fits the data well.

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Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

(5, 4) is not a solution of the equation y = -2x + 14 y = -3x - 11.

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Let's find the solution of the system of equation as follows:

y = -2x + 14

y = -3x - 11

using substitution method,

-3x - 11 = -2x + 14

-3x + 2x = 14 + 11

-x = 25

y = -2(25) + 14

y = -50 + 14

y = -36

Therefore, (5, 4) is not a solution.

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Answer:500 ft.-65 ft.=435 ft.

Step-by-step explanation:435 ft. is your answer because the change of elevation goes down which means you subtract so I subtracted 500-65=435 feet

Additional funds or adjustments to the budget would be necessary to complete the project

The municipality has a budget of R 80,000 for new street name boards, with each board costing R 134. To determine the number of street name boards that can be put up and the remaining budget, we divide the total budget by the cost per board.

Number of new street name boards = Budget / Cost per board

= R 80,000 / R 134

≈ 597.01

Since we cannot have a fraction of a street name board, we round down to the nearest whole number.

Number of new street name boards = 597

To find the amount of money left in the budget, we subtract the cost of the street name boards from the total budget.

Money left in the budget = Total budget - (Number of new street name boards * Cost per board)

= R 80,000 - (597 * R 134)

= R 80,000 - R 80,198

≈ -R 198

Based on the calculations, it appears that the budget is insufficient to cover the cost of all the street name boards. In fact, there is a deficit of approximately R 198.

Therefore, additional funds or adjustments to the budget would be necessary to complete the project.

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In the given graph, the length of the segment "AB" is 6.32units.

We have to find length of segment "AB", which means we have to find the distance between the end-points "A" and "B",

From the graph, the end-points of the segment "AB" are :

A ⇒ (-2,4) and B ⇒ (4,2),

So, the length(distance) between these two points can be calculated by the formula : √((x₂-x₁)² + (y₂-y₁)²);

Considering (-2,4) as (x₁, y₁) and (4,2) as (x₂, y₂);

We get,

Length(distance) = √((4-(-2))² + (2-4)²);

Length = √(6² + (-2)²); = √(36 + 4);

Length = √40 ≈ 6.32 units.

Therefore, the length of the segment is 6.32 unis.

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Answer:

it the 3rd one or the first

Step-by-step explanation:

The decimal that represents the fraction of the $30.00 Maggie spent is 0.6.

Now, let's talk about decimals. Decimals are a way of expressing parts of a whole number in a fraction of 10. For example, 0.5 is the same as 1/2. In your situation, Maggie spent $18.00 out of $30.00. To figure out what decimal represents the fraction of the $30.00 Maggie spent, we need to divide the amount she spent by the total amount she had.

So, we can write this as a fraction:

$18.00 / $30.00

To turn this fraction into a decimal, we divide the numerator (top number) by the denominator (bottom number) using long division or a calculator.

$18.00 / $30.00 = 0.6

Another way to say this is that Maggie spent 60% of the money she had in her wallet.

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Answer:

slope = - \(\frac{1}{2}\), y- intercept = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = \(\frac{0-1}{2-0}\) = - \(\frac{1}{2}\)

The y- intercept is the value of y where the graph crosses the y- axis.

y- intercept = 1

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

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The z-scores for each situation are given as follows:

a) 35% of the data is to the left: z = -0.385.

b) 18% of the data is to the right: z = 0.915.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

From the second bullet point, we have that the z-score for which 35% of the data is to the left of the Z-score is z with a p-value of z = 0.35, hence z = -0.385.

The z-score for which 18% of the data is to the right of the data-set, is z with a p-value of 1 - 0.18 = 0.18, hence it is z = 0.915.

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The probability that the mean weight of 20 randomly picked fruit will be between 752 grams and 766 grams can be calculated using the Central Limit Theorem. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the mean will be approximately normally distributed regardless of the shape of the population distribution.

In this case, the mean weight of the fruit is normally distributed with a mean of 744 grams and a standard deviation of 37 grams.

To find the probability, we need to standardize the values of 752 grams and 766 grams using the formula z = (x - μ) / (σ / √n), where z is the standard score, x is the value, μ is the mean, σ is the standard deviation, and n is the sample size.

For 752 grams:
z1 = (752 - 744) / (37 / √20) = 0.589

For 766 grams:
z2 = (766 - 744) / (37 / √20) = 1.573

Now, we can use a standard normal distribution table or a calculator to find the probability between these two z-scores.

Using the standard normal distribution table, the probability between z1 = 0.589 and z2 = 1.573 is approximately 0.1398 or 13.98%.

Therefore, the probability that the mean weight of 20 randomly picked fruit will be between 752 grams and 766 grams is approximately 0.1398 or 13.98%.

Please note that the calculation assumes the weights of the fruit are independent and identically distributed.

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Answer:

5

Step-by-step explanation:

(-2)^2 -2(4)(-2) / (-2)^2

4-8(-2)/4

4+16/4

20/4

5

Answer:

b > -6 or b < 6

Step-by-step explanation:

The absolute value operator always returns a positive number, with |b| = b if b > 0, and |b| = -b if b 0. With this in mind, consider the following inequality:

Because of the absolute value operator, this is valid for b values larger than 6 and less than -6. As a result, the compound inequality that this circumstance illustrates is:

The compound inequality is equivalent to the absolute value inequality |bl> 6 is b < -6 or b > 6.

Option D is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

The absolute value inequality |b| > 6 is equivalent to the compound inequality b < -6 or b > 6.

To see why, consider that the absolute value of b is greater than 6 if b is either greater than 6 or less than -6 (because the absolute value of any number greater than 6 or less than -6 will be greater than 6).

So, we can write the inequality as:

|b| > 6

b > 6 or -b > 6

b > 6 or b < -6

b < -6 or b > 6 (rearranging the terms)

Therefore,

The compound inequality is equivalent to the absolute value inequality |bl> 6 is b < -6 or b > 6.

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Answer:

The change in y-axis with respect to change in x-axis is described as slope.

the slope is 0.06,  rewrite it as a fraction

the base of the bridge is 50 and height of the bridge is 3, find the hypotenuse using the Pythagorean theorem to get the length of the bridge.

\( Length =\sqrt{3^{2}+50^{2}} =\sqrt{9+2500}} =\sqrt{2509}}    

Length of the bridge is 50.08

Answer:

standard or standards

Step-by-step explanation:

1) Note that the measures of dispersion are given as follows;


Mean = 22

Median = 20
Range = 39

2) The standard deviation based on the completed table is  11.696. See table attached.

Mean:

To find  the mean, you add up all the ages  and divide by the total number of ages:

= (2 + 8 + 14 + 19 + 20 +  21 + 26 + 33 + 36 +  41) /10

thus

Mean = 22.0

Median:

To find the median, you need to find the middle number when the ages are arranged in order:

2, 8, 14, 19, 20,  21, 26, 33, 36, 41

The middle numbers  are  (20 + 21)/2 = 20.5

so the median age is 20.5

Range:

To find the range, you subtract the smallest age from the largest age:

41 - 2 = 39

Therefore:

Mean = 22

Median = 20.5
Range = 39


2)

To find the standard deviation of the elephant ages, we first need to calculate the variance:

Find the mean (X):

X = (2 +  8 + 14 + 19 +  20 + 21 + 26 + 33 + 36 + 41)/ 10

X = 22

Subtract the mean from each value and square the result:

(x - X)²:

(2 - 22)² = 400

(8 - 22)² = 196

(14 - 22)² = 64

(19 - 22)² = 9

(20 - 22)² = 4

(21 - 22)² = 1

(26 - 22)² = 16

(33 - 22)² = 121

(36 - 22)² = 196

(41 - 22)² = 361

Sum up all the squared differences:

400 + 196 + 64 + 9 + 4 + 1 + 16 + 121 + 196 + 361 = 1368

Divide the sum by the number of values (n):

1368 / 20 = 136.8

Take the square root of the variance to get the standard deviation:
√136.8 = 11.696

Thus, the standard deviation =  11.696

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The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

Answer:

3/2

Step-by-step explanation:

flip the second fraction so its 3/5 times 5/2

cross multiply to get rid of the 5s and get 3/2

Answer: The answer is 1.5!

Step-by-step explanation: hope I could help