a map is drawn in the scale of 1:500000. the area of a pond on the actual ground is 100km^2. find the area on the map in square centimetres that represents the pond

Answer:

$85

Step-by-step explanation:

445-20=425 425 ÷5= 85

Answer: 8

Step-by-step explanation:

Using SOHCAHTOA, we need TOA as we have the opposite (1) and the adjacent (7)

θ = \(tan^{-1}(\frac{1}{7} )\) = 8.13 = 8

Answer:

(9,3)

Step-by-step explanation:

Hi there!
We are given the point (-9, 3) and we want to figure out the image of it after a reflection over the y-axis

When we reflect points over the y-axis, the value of x in the point changes signs (so if the value of x was originally positive, after being reflected, it'll be negative, and vice versa), but the value of y in the point does NOT change

This means that in order to help find the image, we can change the sign of the value of x, and keep the value of y the same

So, in this case:

The value of x in the point is -9, which is negative; after being reflected will be 9, which is positive

the value of y (3) stays the same

So the image after reflecting will be (9, 3)
Hope this helps.

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Answer:2

Step-by-step explanation: because

Answer: c. 420 m

Step-by-step explanation:

Answer:

Doubt that he is.

Step-by-step explanation:

6 days x $20 = $120

8 days x $15 = $120

So, he'd pay the same amount for 8 days as he would for 6 days. I think it's better to stay for 8 days if he were to spend $120 anyway.

An equation for the distance between the friends after time (t) in hours is c = 4t√125.

In order to determine an equation for the distance between the friends after an amount of time (t) in hours, we would create a mental image of a right-angled triangle because they both head in the opposite (North) and adjacent (East) direction.

Therefore, the distance between them after t hours represent the hypotenuse of a right-angled triangle, which can be calculated by using Pythagorean theorem.

Next, we would determine the distance covered by each friend:

For the first friend (North), we have:

Distance, a = speed × time

Distance, a = 40t

For the second friend (East), we have:

Distance, b = speed × time

Distance, b = 20t

By applying Pythagorean theorem, the distance between the friends after an amount of time (t) is given by:

Distance, c² = a² + b²

Distance, c² = (40t)² + (20t)²

Distance, c² = 1600t² + 400t²

Distance, c² = 2000t²

Distance, c = √(16 × 125t²)

Distance, c = √16t² × √125

Distance, c = 4t√125

Note: The prime factorization of 2000 is 2⁴ × 5³ = 16 × 125.

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Answer:

a₂₀ = 69

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 15 - 12 = 3 , then

a₂₀ = 12 + (3 × 19) = 12 + 57 = 69

Answer:

a

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1/5*10

The estimated areas are:

A. Bottom total with two rectangles: 16

b. Bottom total with four rectangles: 36

C. Top total with two rectangles: 16

d. Top total with four rectangles: 36

What is Graph?

a graph is a mathematical structure that consists of a set of vertices (also called nodes) and a set of edges (also called arcs or links) that connect pairs of vertices. Graphs are used to represent and study relationships between objects or entities.

To estimate the area under the graph of the function f(x) = x^3 between x = 0 and x = 4 using various finite approximations, we can use the concepts of lower sums and upper sums with rectangles of equal width.

A. Lower sum with two rectangles of equal width:

In this case, we divide the interval [0, 4] into two equally wide subintervals: [0, 2] and [2, 4]. The height of each rectangle is determined by the minimum value of the function in each subinterval.

Width of each rectangle: (4 - 0) / 2 = 2

Height of the first rectangle: f(0) = (0)^3 = 0

Height of the second rectangle: f(2) = (2)^3 = 8

Area of ​​the first rectangle: width * height = 2 * 0 = 0

Area of ​​the second rectangle: width * height = 2 * 8 = 16

Total estimated area: 0 + 16 = 16

b. Lower sum with four rectangles of equal width:

In this case, we divide the interval [0, 4] into four equally wide subintervals: [0, 1], [1, 2], [2, 3] and [3, 4]. The height of each rectangle is determined by the minimum value of the function in each subinterval.

Width of each rectangle: (4 - 0) / 4 = 1

Height of the first rectangle: f(0) = (0)^3 = 0

Height of the second rectangle: f(1) = (1)^3 = 1

Height of the third rectangle: f(2) = (2)^3 = 8

Height of the fourth rectangle: f(3) = (3)^3 = 27

Area of ​​the first rectangle: width * height = 1 * 0 = 0

Area of ​​the second rectangle: width * height = 1 * 1 = 1

Area of ​​the third rectangle: width * height = 1 * 8 = 8

Area of ​​the fourth rectangle: width * height = 1 * 27 = 27

Total estimated area: 0 + 1 + 8 + 27 = 36

C. Top sum with two rectangles of equal width:

In this case, we divide the interval [0, 4] into two equally wide subintervals: [0, 2] and [2, 4]. The height of each rectangle is determined by taking the maximum value of the function in each subinterval.

Width of each rectangle: (4 - 0) / 2 = 2

Height of the first rectangle: f(0) = (0)^3 = 0

Height of the second rectangle: f(2) = (2)^3 = 8

Area of ​​the first rectangle: width * height = 2 * 0 = 0

Area of ​​the second rectangle: width * height = 2 * 8 = 16

Total estimated area: 0 + 16 = 16

d. Top sum with four rectangles of equal width:

In this case, we divide the interval [0, 4] into four equally wide subintervals: [0, 1], [1, 2], [2, 3] and [3, 4]. The height of each rectangle is determined by taking the maximum value of the function in each subinterval.

Width of each rectangle: (4 - 0) / 4 = 1

Height of the first rectangle: f(0) = (0)^3 = 0

Height of the second rectangle: f(1) = (1)^3 = 1

Height of the third rectangle: f(2) = (2)^3 = 8

Height of the fourth rectangle: f(3) = (3)^3 = 27

Area of ​​the first rectangle: width * height = 1 * 0 = 0

Area of ​​the second rectangle: width * height = 1 * 1 = 1

Area of ​​the third rectangle: width * height = 1 * 8 = 8

Area of ​​the fourth rectangle: width * height = 1 * 27 = 27

Total estimated area: 0 + 1 + 8 + 27 = 36

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The mean and variance of the lengths are 590. 50  and 0. 075 respectively

Given that the lengths are;

590.1,  590. 2, 590. 3, 590. 4, 590. 5, 590. 6, 590. 7 , 590. 8, 590. 9

Mean = sum of terms/ number of terms

Mean = 590.1 +  590. 2 + 590. 3 + 590. 4 + 590. 5 + 590. 6 + 590. 7 + 590. 8 + 590. 9/ 9

Find the sum of the numerator

Mean = 5314. 5/ 9

Mean = 590. 500

Variance = sum of the distances from the mean/ total number - 1

Variance = (590. 1 - 590. 5)² + (590. 2 - 590. 5)² +  (590. 3 - 590. 5)² +  (590. 4 - 590. 5)² +  (590. 5 - 590. 5)² +  (590. 6 - 590. 5)² +  (590. 7 - 590. 5)² +  (590. 8 - 590. 5)² +  (590. 9 - 590. 5)² ÷ 9 - 1

Variance = 0. 16 + 0. 09 + 0. 04 + 0. 01 + 0 + 0. 01 + 0. 04 + 0. 09 + 0. 016 ÷8

Variance = 0. 6/ 8

Variance = 0. 075

Thus, the mean and variance of the lengths are 590. 50  and 0. 075 respectively

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Answer:

The missing step is;

Add 8x to both sides of the inequality

Step-by-step explanation:

The step by step solution is presented as follows;

Step 1: Subtract 3 from both sides of the inequality

From the given inequality equation, we have;

5 - 8·x < 2·x + 3

Subtracting 3 from both sides of the inequality gives;

5 - 8·x - 3 < 2·x + 3 - 3

2 - 8·x < 2·x

Step 2: Subtract 8·x from both sides of the resulting inequality

2 - 8·x - 8·x < 2·x - 8·x

2 < -6·x

Step 3: Dividing both sides of the resulting inequality from above by the coefficient of x gives;

2/(-6) < -6·x/(-6)

-1/3 > x.

Answer:

D. Add 8x to both sides of the inequality

Step-by-step explanation:

i took the quiz on egd

The left side of the equation is equal to the right side, which confirms that a = 11/10 is the correct solution.

To solve the equation, we need to isolate the variable "a". The equation is given as a - 1/2 = 3/5.
To eliminate the fraction, we can multiply both sides of the equation by the least common denominator (LCD), which is 10. This will clear the fractions and make the equation easier to solve.
Multiplying the left side of the equation by 10, we get:
10(a - 1/2) = 10(3/5)
10a - 5 = 6
Next, we can simplify the equation by adding 5 to both sides:
10a - 5 + 5 = 6 + 5
10a = 11
Finally, we can solve for "a" by dividing both sides of the equation by 10:
(10a)/10 = 11/10
a = 11/10
Therefore, the solution to the equation is a = 11/10 or a = 1 1/10.
To check the solution, substitute a = 11/10 back into the original equation:
11/10 - 1/2 = 3/5
(11/10) - (5/10) = 3/5
6/10 = 3/5
In summary, the solution to the equation a - 1/2 = 3/5 is a = 11/10 or a = 1 1/10. This solution has been checked and is correct.

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Answer: No the real answer is 35.10585

Step-by-step explanation:

Answer: a) {-3, -1, 3, 4}

Step-by-step explanation:

f(x) is the output, and x is the input.

Hope it helps :) and let me know if you want me to elaborate.

(i) Large Table Required are 3 and Small Table required are 8

(ii) Price of Student Ticket is $5.5 and Adult Ticket is $7.5

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

(i)

Seats in Large Table = 12

Cost of Large Table = $50

Seats in Small Table = 8

Cost of Small Table = $25

Let, Number of Large Tables = x

Number of Small Tables = y

According to the Question:

12x + 8y = 100

50x + 25y = 350

x = 3, y = 8 (refer graph 1)

(ii)

Cost of Student Ticket = x

Cost of Adult Ticket  = y

According to the Question:

16x + 3y = 110.5

12x + 4y = 96

x = $5.5, y = $7.5 (refer graph 2)

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Cell is the Structural and functional unit of life.

Answer:

cells

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5.75

Step-by-step explanation:

for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!

Answer:$5.75

Step-by-step explanation:

In this case, with 500 defects and a sample size of 40 units of output, the center line would be 12.5 defects per unit of output.

To determine the center line for monitoring the average number of defects per unit of output, we divide the total number of defects by the sample size. In this scenario, the sample consists of 40 units of output, and there are 500 defects.

Therefore, the center line would be calculated as 500 defects divided by 40 units of output, resulting in an average of 12.5 defects per unit of output. This center line serves as a reference point for monitoring and comparing future defect rates.

If the average number of defects per unit of output exceeds this center line, it may indicate a need for process improvements or corrective actions.

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Answer:

24

Step-by-step explanation:

Given a quadratic equation in standard form, ax² + bx + c = 0 (a ≠ 0 )

Then the discriminant is

b² - 4ac

Given

2x + 5x² = 1 ( subtract 1 from both sides )

5x² + 2x - 1 = 0 ← in standard form

with a = 5, b = 2, c = - 1 , then

b² - 4ac = 2² - (4 × 5 × - 1) = 4 - (- 20) = 4 + 20 = 24

Answer:

D.24

Step-by-step explanation: hope this helps!! :)

An whole score distribution converted to z-scores would not alter the distribution's shape. "True" statement.

Z-scores let statisticians and traders know whether a score falls within the norm for a given data set or deviates from it.

Thus, an whole score distribution converted to z-scores would not alter the distribution's shape.

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Answer:

5

Step-by-step explanation:

-5x =25x      

-5 -5

you divide both sides by -5

and you get x=5

hunn please click thanks button

Answer:

3.33%

Step-by-step explanation:

Given that :

Final amount A= 320

Principal P = 300

Time (t) = 2 years

Yes, the information is enough to obtain the interest rate :

Using the relation :

A = P(1 + rt)

r = interest rate

320 = 300(1 + r*2)

320 = 300(1 + 2r)

320/300 = 1 + 2r

1.0666666 = 1 + 2r

1.0666666 - 1 = 2r

0.0666666 = 2r

r = 0.0666666 / 2

r = 0.0333333

(0.0333333) * 100% = 3.33%

Based on the information given the interest rate is 53.33%.

Amount= Principal× Interest rate ×Time/100

Let r represent the interest rate

Hence:

320 = 300×r×2 years/100

320×100/300×2=r

r=320/3×2

r=160/3

r=53.33 or 53 1/3

Inconclusion  the interest rate is 53.33%.

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You would need a total of 60 participants to have 15 participants in each experimental condition.

In a completely between-subjects experiment with two variables, if there are two levels of each independent variable and you want to have 15 participants in each experimental condition, you would need a total of 15 participants in each combination of levels.

Let's break it down step by step:

Number of levels per variable: 2

Number of participants per level: 15

Total number of conditions: 2 levels * 2 levels = 4

To calculate the total number of participants, you multiply the number of participants per condition by the total number of conditions:

Total participants = Number of participants per condition * Total number of conditions

Total participants = 15 * 4

Total participants = 60

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Explanation

As BD is a perpendicular bisector

Step-by-step explanation:

42/154

21/77 ( divide by 2)

Answer:

27.3% wear contact lenses

Step-by-step explanation:

percent=\(100(\frac{42}{154} )=27.3\)

Hope this helps

Answer:

C is the Answer

Step-by-step explanation:

It's from 0-10, so the one that seems the most reasonable is C

Answer:

Step-by-step explanation: Which is a common error that students make in working with the number​ line? A. Fractions are numbers. B. Count the tick marks that appear without noticing any so therefore i think the answer is B

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

6

Step-by-step explanation: