C an someone show me step by step how to do this and correctly please
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.

A polygon with a horizontal top side labeled 45 yards. The left vertical side is 20 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 10 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 12 yards.

What is the area of the playground?

900 square yards

855 square yards

1,710 square yards

1,305 square yards

Answer: 4, 2, 3, 5, 1

Step-by-step explanation:

First, you need to set your compass width or set the compass at one of the terminal points.

After, you can draw arcs above and below.

Then, repeat for the other terminal point.

Finally, connect the intersection of the arcs.

Answer:

63cm

3 x 21 = 63

Answer: 63 cm

Step-by-step explanation: For every one cm deep, there is a further scale of 21 cm more. If the pond is 3 cm deep, then the scale would be 21 * 3, which is equivalent to 63.

Answer:

11 computers

Step-by-step explanation:

770 = 220 + 50x

770-220=550

550 = 50x

550/50

11=x

The fall in the level of oil is 1.4147 cm when the total volume of oil consumed is 1 liter.

We assume the drop in the level of water to be d cm.

Since the container is cylindrical in shape, its volume is given as:

V = πr²h, where V is the volume, r is the radius, and h is the height.

In the question, we are given that the diameter of the can is 30 cm.

Hence its radius = 30/2 = 15 cm.

The capacity of the container is given to be 30 liters or 30*1000 = 30000 cm³.

The volume of the oil used = 1 liter or 1*1000 = 1000 cm³.

Thus, substituting V = 1000, r = 15, and h = d, in the formula of the volume, V = πr²h, we get:

1000 = π(15)²(d),

or, d = 1000/(225π) = 1.4147.

Thus, the fall in the water level is 1.4147 cm.

Therefore, the fall in the level of oil is 1.4147 cm when the total volume of oil consumed is 1 liter.

Learn more about the volumes of cylinders at

https://brainly.com/question/9554871

#SPJ4

Answer:

the answer is 4x \(10^{2}\)

Step-by-step explanation:

I hope this helps

have a nice day/night

Mark brainiest please

Answer:

First of all, a quotient is a number that the answer to a division number basically. So, I think the best answer would be the first choice: 4 times 10 with an exponent of 12. I think that is the correct answer.

Answer:

The better bar to buy is the Nutty Crunch

Step-by-step explanation:

4.74 / 6 = 0.79 per bar

7.80 / 10 = 0.78 per bar

:)

Answer:

Nutty Crunch is better

Step-by-step explanation:

The integral expression of the volume of the solid generated when r is roated about the horizantal line y=6 is, V = π∫[f(y)]^2 dy

Let's consider the region bounded by the function r=f(y) and the horizontal line y=6 in the xy-plane, where r represents the distance between the y-axis and a point on a curve.

When this region is rotated around the horizontal line y=6, it generates a solid whose volume can be expressed as an integral in terms of y as follows:

V = π∫[f(y)]^2 dy

Here, the limits of integration are determined by the range of y-values for which the curve exists within the region bounded by the x-axis and the line y=6.

Note that we have not evaluated this integral yet since we do not have enough information about the specific function f(y).

Know more about volume of solid here:

https://brainly.com/question/20284914

#SPJ11

Answer:

5 pieces of 40 cm

Step-by-step explanation:

A Bar of steel is 340 cm long Issa cuts two 55cm lengths of the bar

He then cuts the rest into as many 40cm lengths as possible

Work out how many 40cm lengths of bar Issa cut.

so

340cm - 55 cm - 55 cm = 230 cm remains

230 cm to cut into 40 cm as many as possible

40 cm

therefore, there are 5 pieces of 40 cm

Step 1:

Draw the figure

The diagonals of a rhombus bisect each other,

therefore

FJ = JH

this implies that

JH = 4.

Opposite angles of a rhombus are equal, so

The diagonals of a rhombus bisect the interior angles.

Therefore,

The diagonals of a rhombus are perpendicular

GH = 8 (b)

Also,

Using the Pythagorean rule,

FH = FJ + JH

this implies that

FH = 4 + 4 = 8

FH = 8

right choice B

The diagonals of a rhombus bisect the interior angles.

therefore

Sum of the interior angles of a rhombus is 360degrees.

And opposite interior angles of a polygon are congruent.

Therefore

Also,

Answer:

Step-by-step explanation:

The statement

Twice the difference of a number and 8 is written as

2( b - 8)

The expression is greater than - 21 so we represent it by the > sign

So we have

2( b - 8) > - 21

Expand

2b - 16 > - 21

2b > - 21 + 16

2b > - 5

Divide both sides by 2

Hope this helps you

Answer:

Option (A)

Step-by-step explanation:

In the figure attached,

A prism has been given with two triangular bases.

If we put this prism with one of the triangular face as the base of the prism, height of the prism will be 6 in.

Volume of a prism is calculated with the formula,

Volume = (Area of the triangular base) × Height

Area of the triangular base = \(\frac{1}{2}(\text{Base})(\text{Height of the triangular base})\)

                                             = \(\frac{1}{2}(3)(5)\)

                                             = 7.5 in²

Volume of the prism = 7.5 × 6

                                  = 45 in³

Therefore, Option (A) will be the answer.

The first quartile of the data set is 48.

Here is a list of 27 scores on a Statistics midterm exam: 20, 30, 31, 32, 46, 48, 49, 52, 54, 59, 61, 69, 71, 73, 74, 79, 81, 81, 81, 85, 86, 87, 88, 91, 94, 96, 97. Find Q2 and Q1.The median is the middle number of a data set arranged in ascending or descending order. There are 27 numbers in this data set. As a result, the median will be the 14th value when sorted in ascending order. The data set is given in ascending order. As a result, the median of the data set is 81. To find the first quartile or Q1 of this data set, the formula below will be used: Q1 = (n+1)/4th term Q1 = (27+1)/4th termQ1 = 7th terTo find the 7th term, the data set must be arranged in ascending order. The 7th term of the data set is 48.Therefore, the first quartile of the data set is 48.

Learn more about  Quartile

brainly.com/question/17198478

#SPJ11

Answer:

16

Step-by-step explanation:

What number subtracted by 6, divided by 2, and added by 5 equals 9

Step-by-step explanation:

x-6/2+5=9

x-6/2=9-5

x-6/2=4

x-6=4×2

x-6= 8

x=6+8

x=14

It will take 180 Hours to fill the pool if both hoses are used.

In our question, one data is missing. You require the pool's volume or some information that enables you to calculate it. The same statement given by you is part of a problem where you know a series of data that shows the time required to fill the pool at different flow rates:

flow rate           time

60 gal/h            300 h => 60 gal/h * 300 h = 18,000 gal

45 gal/h            400 h => 45 gal/h * 400 h = 18,000 gal

36 gal/h            500 h => 36 gal/h * 500 h = 18,000 gal

30 gal/h            600 h => 30 gal/h * 600 h = 18,000 gal

So for this pool to calculate (several times) that the volume is 18,000 gal.

You now possess two hoses, one of which has a flow rate of 40 gals per hour and the other of which has a flow rate of 60 gals per hour.

The total flow rate is the sum of the two flow rates"

total flow rate = 40 gal/h + 60 gal/h = 100 gal/h

And you just must divide the volume of the pool (18,000 gals) by the total flow rate (100 gal/h) to get the time to fill the pool:

time = volume / flow rate = 18,000 gal / 100 gal/h = 180 hours.

So, finally, our answer to fill the pool will be about 180 hours.

To know more about Volume, visit: https://brainly.com/question/23477586

#SPJ4

flow rate           time

60 gal/h            300 h => 60 gal/h * 300 h = 18,000 gal

45 gal/h            400 h => 45 gal/h * 400 h = 18,000 gal

36 gal/h            500 h => 36 gal/h * 500 h = 18,000 gal

30 gal/h            600 h => 30 gal/h * 600 h = 18,000 gal

So for this pool to calculate (several times) that the volume is 18,000 gal.

You now possess two hoses, one of which has a flow rate of 40 gals per hour and the other of which has a flow rate of 60 gals per hour.

The total flow rate is the sum of the two flow rates"

total flow rate = 40 gal/h + 60 gal/h = 100 gal/h

And you just must divide the volume of the pool (18,000 gals) by the total flow rate (100 gal/h) to get the time to fill the pool:

time = volume / flow rate = 18,000 gal / 100 gal/h = 180 hours.

Answer:

answers

Step-by-step explanation:

A. Vertex at (−6, 1)

Answer:

Blue car: 30.8 miles per galon

Red car: 27 miles per galon

Blue car can travel longer distances on one galon!

Step-by-step explanation:

Blue car:

38 1/2=77/2=38.5 miles

1 1/4=5/4=1.25 gasoline

38.5/1.25=30.8miles per galon

Red car:

21 3/5=108/5=21.6 miles

4/5=0.8 gasoline

21.6/0.8=27 miles per galon

When a\(_{n}\) = \(2^{n}\)+ n,  a₀ = 1,  a₁ = 3,  a₂ = 6, and a₃ = 11  

When a\(_{n}\) = n^(n+1)!,  a₀ = 0,  a₁ = 2,  a₂ = 2⁶, and a₃ = 3²⁴  

When a\(_{n}\) =  [n/2], a₀ = 0,  a₁ = 1/2,  a₂ = 1, and a₃ = 3/2      

When a\(_{n}\) = [n/2] + [n/2], a₀ = 0,  a₁ = 1,  a₂ = 2, and a₃ = 3/2  

Number sequence

A number sequence is a progression or a list of numbers that are directed by a pattern or rule.

Here,

a₀, a₁, a₂, and a₃ are terms of a sequence

from option a, a\(_{n}\) = \(2^{n}\)+ n

⇒ a₀  = 2⁰+ 0 = 1+0 = 1

⇒ a₁  = 2¹+ 1 = 2+1 = 3

⇒ a₂, = 2²+ 2 = 4+2 = 6

⇒ a₃  = 2³+ 3 = 8 +3 = 11  

from option b, a\(_{n}\) = n^(n+1)!

⇒ a₀  = 0^(0+1)! = 0

⇒ a₁  = 1^(1+1)! = 2² = 2

⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶          [ ∵ 3! = 6 ]

⇒ a₃  = 3^(3+1)! = 3^(4)! = 3²⁴         [ ∵ 4! = 24 ]

from option c, a\(_{n}\) =  [n/2]          

⇒ a₀  = [0/2] = 0

⇒ a₁  = [1/2] = 1/2

⇒ a₂, = [2/2] = 1

⇒ a₃  = [3/2] =  3/2  

from option d, a\(_{n}\) = [n/2] + [n/2]

⇒ a₀  =  [0/2] + [0/2] = 0

⇒ a₁  =  [1/2] + [1/2] = 1/2 + 1/2 = 1

⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2

⇒ a₃  =  [3/2] + [3/2] = 6/4 = 3/2

Learn more about Number sequence problems at

https://brainly.com/question/28680939

#SPJ4

The Complete Question is -

What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals

a. \(2^{n}\) + n                    b. n^(n+1)!

c. [n/2]                      d. [n/2] + [n/2]

Answer:

Step-by-step explanation:

Answer:

528864

Step-by-step explanation:

Answer:

26.44%

Step-by-step explanation:

The change in temperature is:

1535 - 1214 = 321

This change represents a percent increase:

321/1214*100% = 26.44% (rounded)

Answer:

A

Step-by-step explanation:

Because it's subtracting 2 hours every day, the slope is -2. Also because it's 30 hours, it's 30. Therefore: A.) y=-2x+30 is the answer.

Hopes this Helps!

Researchers conducted a study and obtained  the p-value is 0.30, which is higher than the common significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.

Hence this statement is false.

When researchers conduct a study and obtain a p-value, they use it to make a decision regarding the null hypothesis.

However, a high p-value does not provide evidence to accept the null hypothesis.

Instead, it indicates that there is not enough evidence to reject the null hypothesis.
1. Researchers start with a null hypothesis (H0), which is a statement that there is no effect or relationship between variables being studied.

They also have an alternative hypothesis (H1), which is a statement that there is an effect or relationship between variables.
2. They collect data and perform statistical tests to calculate the p-value, which represents the probability of observing the test results (or more extreme results) assuming the null hypothesis is true.
3. The p-value is then compared to a pre-determined significance level (alpha), commonly set at 0.05 or 5%.

If the p-value is less than the significance level, researchers reject the null hypothesis in favor of the alternative hypothesis.
4. In this case, the p-value is 0.30, which is higher than the common significance level of 0.05.

This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.
5. Instead, researchers should say that they "fail to reject" the null hypothesis, meaning they cannot confidently conclude that the alternative hypothesis is true based on the data and analysis.

For similar question on researchers.

https://brainly.com/question/7965468

#SPJ11

he number of ways the friends can choose seats without sitting next to each other is 7! - 4! = 5040

If there are 5 seats open in a row and no restrictions on the seating arrangement, each friend can choose one seat independently. Therefore, the total number of ways the friends can choose seats is 5 factorial (5!) which is equal to 5 × 4 × 3 × 2 × 1 = 120.

(b) If there are 7 seats open in a row and no restrictions on the seating arrangement, each friend can choose one seat independently. Therefore, the total number of ways the friends can choose seats is 7 factorial (7!) which is equal to 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040.

(c) If two friends are required to sit next to each other, we can treat them as a single entity. This reduces the problem to arranging four entities (three individual friends and one pair of friends) and three empty seats. The total number of ways the friends can choose seats is then 4 factorial (4!) which is equal to 4 × 3 × 2 × 1 = 24.

(d) If two friends are required to not sit next to each other, we can count the complement of the situation in part (c). There are 7 factorial (7!) total seating arrangements without any restrictions. From part (c), we found that there are 4 factorial (4!) seating arrangements where the two friends sit next to each other. - 24 = 5016.

Know more about arrangement here:

https://brainly.com/question/28406752

#SPJ11

Answer:

B) 146 ≥ 9c+10

Step-by-step explanation:

$9 per yoga class can be represented with 9c, and then we have 9c+10 to represent the additional $10 yoga mat bought.

Since she can't use more than $146, then we have the inequality 9c+10≤146, which is the same as 146≥9c+10, so option B is correct.

Answer:

  D.  f(x) = x

Step-by-step explanation:

You want the parent function described by a table that has its y-values equal to its x-values.

We observe that each row of the table has the same value in the y-column as in the x-column. That is, ...

  y = x

Written using function notation, this is ...

  f(x) = x

#95141404393

The length and width of the rectangle is 28 feet and 58 feet respectively.

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

Therefore, the perimeter of a rectangle is the sum of the whole 4 sides of the rectangle.

Hence, the perimeter of a rectangle is 172 feet.

perimeter of a rectangle = 2(l + w)

where

l = x

w = 2(x + 1) = 2x + 2

Therefore,

172 = 2(x + 2x + 2)

172 = 2(3x + 2)

divide both sides by 2

172 / 2 = 3x + 2

86 = 3x + 2

86 - 2 = 3x

3x = 84

divide both sides by 3

x = 84 / 3

x = 28

Therefore,

length = 28 feet

width = 2(28) + 2 = 58 feet

learn more on rectangle here: https://brainly.com/question/14656866

#SPJ1

\(\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Explanation :-}}}}}}\)

Let the number of hours be x for his job of Dog walking..

So, The equation would be:

\( \blue \dashrightarrow \green{ \sf15x +400}\)

Dan wants to earn more than $520 in a week, so this means that the expression is greater than 520:

\( \blue \dashrightarrow \green{ \sf15x + 400 > 520}\)

If we move the constant to the right-hand side and change its sign, The equation would be:

\( \blue \dashrightarrow \green{ \sf15x > 520 - 400} \\ \blue \dashrightarrow \green{ \sf15x > 120}\)

Also, the first inequality can be rearranged as:

\( \blue \dashrightarrow \green{ \sf520 < 400 + 15x}\)

Answer:

14988 feet

Step-by-step explanation:

To find the difference, subtract.

14949 - (-39)

= 14949 + 39

= 14988

Use "add the opposite" to change "minus a negative" to "plus a positive"

(a) The probability of either A or B occurring is 0.9.

(b) The probability of either A or B occurring when P(A and B) is 0.6.

Given that P(A) = 0.5 and P(B) = 0.4

(a) If A and B are mutually exclusive, compute P(A or B)

When two events A and B are mutually exclusive, it means that the occurrence of one event precludes the occurrence of the other event. That is, the two events have no common outcome.

Therefore, the probability of either A or B occurring is the sum of the probabilities of A and B.

This is denoted as P(A or B).

Hence, if A and B are mutually exclusive, the P(A or B) = P(A) + P(B) - P(A and B)  [since P(A and B) = 0]

The probability of either A or B occurring is:P(A or B) = P(A) + P(B) - P(A and B)= 0.5 + 0.4 - 0= 0.9

(b) If P(A and B) = 0.3, compute P(A or B)

If A and B are not mutually exclusive, it means that the occurrence of one event does not preclude the occurrence of the other event.

That is, the two events have a common outcome.

Therefore, the probability of either A or B occurring is the sum of the probabilities of A and B, minus the probability of their intersection (common outcome).

This is denoted as P(A or B).Hence, if A and B are not mutually exclusive, P(A or B) = P(A) + P(B) - P(A and B)

The probability of either A or B occurring is:

P(A or B) = P(A) + P(B) - P(A and B)= 0.5 + 0.4 - 0.3= 0.6

Therefore, the probability of either A or B occurring when P(A and B) = 0.3 is 0.6.

Know more about the mutually exclusive,

https://brainly.com/question/12961938

#SPJ11