The box plot was created by using which pieces of data?
0
25
50
75
100
125

The area of the closed polygon ABCD ≈ 7628.831 square units.

To calculate the area of the closed polygon ABCD with the provided coordinates, we can use the Shoelace formula.

The Shoelace formula calculates the area of a polygon provided the coordinates of its vertices.

Let's label the coordinates as follows:

A (x1, y1) = (91.119E, 181.348N)

B (x2, y2) = (84.889E, 206.225N)

C (x3, y3) = (86.79E, 225.281N)

D (x4, y4) = (53.41E, 186.38N)

The Shoelace formula is provided by:

\(\[\text{Area} = \frac{1}{2} \left| (x_1 \cdot y_2 + x_2 \cdot y_3 + x_3 \cdot y_4 + x_4 \cdot y_1) - (y_1 \cdot x_2 + y_2 \cdot x_3 + y_3 \cdot x_4 + y_4 \cdot x_1) \right|\]\)

Substituting the provided values into the formula:

Area = 1/2 * |(91.119 * 206.225 + 84.889 * 225.281 + 86.79 * 186.38 + 53.41 * 181.348) - (181.348 * 84.889 + 206.225 * 86.79 + 225.281 * 53.41 + 186.38 * 91.119)|

Area ≈ 7628.831

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Answer:

A or d

Step-by-step explanation:a or d

A or d

The set of natural numbers, rational numbers and integers contain 50. Therefore, options B, C and D are the correct answer.

We need to find which set contains the value 50.

Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers.

Here, 50 is not an irrational number.

Rational numbers: A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.

Here, 50=50/1 is a rational number.

Natural numbers: Natural numbers are the numbers that start from 1 and end at infinity.

So, 50 is a natural number.

Integers: An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

So, 50 is an integer.

The set of natural numbers, rational numbers and integers contain 50. Therefore, options B, C and D are the correct answer.

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Answer:

the percent is about 28%

Answer:

The slope is 2

Points are (0,-3), (3/2,0)(5,7)(-1,-5)

Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

Answer:

2. 3-(-2)-(+5)

⇒3-(-2)-(+5)= 3+2-(+5) = 5-(+5)  =  5-5  = 0

3. -(-3-6)-(-4+8)

⇒ -(-9)-(-4+8) = 9-(-4+8)  =  9-4 =5

4. -8-(-3-2)

⇒ -8-5=-13

5. -(-(-5))+7

⇒ -5+7 = 2

6. -(-(-8)+3)

⇒ -(11) = -11

7. -(-6-(-3+1))

⇒6-(-3+1) = 8

8. 1-(14-(11-7))

⇒ 1-(14-4) = 1-10 = -9

Answer:

The 2nd answer would be the correct option.

Step-by-step explanation:

Hope this helps:) Also can I have brainliest if possible:) It is ok if you can not.

61 is the sum of two consecutive integers (-6,-5 ) and (5,6).

According to Pierr De Fermat any whole number writteen as the sum of four or less square numbers.

So 61 is the whole number so we can write in the sum of squares,

Now we know even+odd=odd so that let a and a+1 integer , according to Pierr De Fermat we can write,

a²+(a+1)²=61;

⇒a²+a²+2a+1=61

⇒2a²+2a-60=0

⇒a²+a-30=0 (∵divided by 2)

⇒a²+6a-5a-30=0

⇒a(a+6)-5(a+6)=0

⇒(a+6)(a-5)=0

⇒a+6=0 or a-5=0 ⇒a=-6 or a=5

If a=-6 then a+1=-6+1=-5.

if a=5 then a+1=5+1= 6.

so 61= (-6)²+(-5)² and 61= 6²+5².

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it's def c because that's where the intersection is, which is the solution (there is only one solution)

Answer:

30 of the 15 cent stamps and 50 of the 25 cent stamps

Step-by-step explanation:

Create a system of equations, where x is the number of 15 cent stamps and y is the number of 25 cent stamps:

x + y = 80

0.15x + 0.25y = 17

Solve by substitution by rearranging the first equation:

x + y = 80

x = 80 - y

Substitute 80 - y as x into the second equation:

0.15x + 0.25y = 17

0.15(80 - y) + 0.25y = 17

12 - 0.15y + 0.25y = 17

12 + 0.1y = 17

Solve for y:

0.1y = 5

y = 50

Plug in 50 as y into the first equation, and solve for x:

x + y = 80

x + 50 = 80

x = 30

So, you bought 30 of the 15 cent stamps and 50 of the 25 cent stamps

answer: ten 15¢ stamps and forty 20¢ stamps.

Step-by-step explanation:

because i just took the quiz

Answer:

Step 1:

Start by setting it up with the divisor 8 on the left side and the dividend 424 on the right side like this:

   8 ⟌ 4 2 4

Step 2:

The divisor (8) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

   8 ⟌ 4 2 4

Step 3:

Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.

       0    

   8 ⟌ 4 2 4

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

   8 ⟌ 4 2 4

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 6:

The divisor (8) goes into the bottom number (42), 5 time(s). Therefore, put 5 on top:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 7:

Multiply the divisor by the result in the previous step (8 x 5 = 40) and write that answer at the bottom:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

       4 0  

Step 8:

Subtract the result in the previous step from the number written above it. (42 - 40 = 2) and write the answer at the bottom.

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2  

Step 9:

Move down the last digit of the dividend (4) like this:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 10:

The divisor (8) goes into the bottom number (24), 3 time(s). Therefore put 3 on top:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 11:

Multiply the divisor by the result in the previous step (8 x 3 = 24) and write the answer at the bottom:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

         2 4

Step 12:

Subtract the result in the previous step from the number written above it. (24 - 24 = 0) and write the answer at the bottom.

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

     -   2 4

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 424 divided by 8 calculated using Long Division is:

53

0 Remainder

Step-by-step explanation:

Answer:No it can not

Step-by-step explanation:

1,275 divided by 12 is 106.25

Answer:

f(g(2)) = 50

Step-by-step explanation:

evaluate g(2) then substitute the result obtained into f(x)

g(2) = 3(2) - 2 = 6 - 2 = 4 , then

f(4) = 2(4 + 1)² = 2(5)² = 2(25) = 50

Answer:

f[g(2)] = 50

Step-by-step explanation:

Given functions:

\(f(x)=2(x+1)^2\)

\(g(x)=3x-2\)

We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.

Step 1: Find the value of g(2) by substituting 2 for x in function g(x).

\(\implies g(2)=3(2)-2\)

\(\\\implies g(2)=6-2\Rightarrow g(2)=\boxed{4}\)

Step 2: Substitute the found value into the composite function.

\(\\\implies f[g(2)]= 2(4+1)^2\)

\(\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}\)

Hence, the value of the composite function f[g(2)] is 50.

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Answer: 9 years old

Step-by-step explanation:

Step 1: Take Colton's age (20) and set it equal to Sammi's age (in this case, \(2x+2\))

\(20=2x+2\\\)

Step 2: Subtract 2 from both sides

\(18=2x\)

Step 3: Divide both sides by 2

\(9=x\)

Colton: 20 years old

Sammi: 9 years old

Answer:

Step-by-step explanation:

2x+2=20

x=9

The value of the given sine function is √3/2, so the correct option is 2nd.

Given that an function Sin (-5π/3) we need to evaluate the expression,

To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.

Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.

To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).

Once adding 2:

(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3

Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.

Therefore, sin(-5π/3) = sin(π/3) = √3/2.

Hence the correct option is √3/2

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Answer:

the interest would be $5,400 after 15 years

Answer:

c

Step-by-step explanation:

c

The new water level is a decrease of 1.09 cm compared to the original water level.

The water levels are compared using subtraction and addition operations.

The changes in the water level each week are given as follows:

Hence the total change is given as follows:

-1.9 + 3.67 - 2.86 = -1.09.

Meaning that the new water level is a decrease of 1.09 cm compared to the original water level.

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Answer:

would be A.

Step-by-step explanation:

A.

The answer is D. x = 32 and x = 0

============================================================

Explanation:

Think of x-16 as y. In other words, let y = x-16

We have (x-16)^2 = 256 become y^2 = 256.

Solve for y to get y = 16 or y = -16. You apply the square root to both sides. Don't forget about the plus/minus. This is because (-16)^2 = (-16)*(-16) = 256. We square the negative as well.

--------

If y = 16, then y = x-16 solves for x to get

y = x-16

16 = x-16

x-16 = 16

x = 16+16

x = 32 is one solution

---------

Plug in y = -16 and isolate x

y = x-16

x-16 = y

x-16 = -16

x = -16+16

x = 0 is the other solution

----------

We can check each answer by plugging them back into the original equation

Let's try x = 0

(x-16)^2 = 256

(0-16)^2 = 256

(-16)^2 = 256

256 = 256 ... works

Now try x = 32

(x-16)^2 = 256

(32-16)^2 = 256

(16)^2 = 256

256 = 256 ... also works; both answers have been confirmed

The probability that the next customer will pay with cash or a credit card is: 0.90

What is the probability?

The probability that the next customer will pay with cash or a credit card is the sum of the probabilities of these two events occurring.

The probability of the next customer paying with cash is the ratio of the number of customers who paid with cash to the total number of customers:

P(cash) = 122 / (122 + 14 + 4) = 0.870

Similarly, the probability of the next customer paying with a credit card is:

P(credit card) = 4 / (122 + 14 + 4) = 0.029

Therefore, the probability that the next customer will pay with cash or a credit card is:

P(cash or credit card) = P(cash) + P(credit card) = 0.870 + 0.029 = 0.899

Rounding this to the nearest hundredth, we get:

P(cash or credit card) ≈ 0.90 (rounded to the nearest hundredth)

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In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

∆HIJ similar to ∆FIG

HI/FI = IJ/IG

5/10 = 4/IG

IG = 8 yd

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In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

∆HIJ similar to ∆FIG
HI/FI = IJ/IG
5/10 = 4/IG
IG = 8 yd

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Answer:

Its c

Step-by-step explanation:

i just did it on edge

C is correct.

Equation: t = 25 + 8.25w, where w is the number of weeks and t is the total Aaliyah saved.

What is the error that occurred when Aaliyah completed her table? The ordered pair (132.25, 13) should be (13,  132.25).

Answer:

a = 2

Step-by-step explanation:

10a - 4 = 2a + 12

-> -2a     -2a

-> 8a - 4 = 12

-> + 4      + 4

-> 8a = 16

-> a =2

The value of a is 2.

To simplify simply means to simplify something. Simply or simplification in mathematics refers to simplifying an expression, fraction, or problem. It simplifies the calculation and solution of the problem. By writing the fraction in its simplest or lowest form and canceling all common factors from the numerator and denominator, we can simplify fractions.

By grouping and combining terms that are similar, mathematical expressions can be simplified. Because of this, the expression is simple to comprehend and solve.

Given expression

10a - 4 = 2a + 12

subtract 2a from both sides

10a - 4 -2a = 2a + 12 - 2a

8a - 4 = 12

add 4 both sides, to cancel out 4 from the side of variables  we need to add 4 both side and by adding 4 it does not affect the equation

8a - 4 +4 = 12 + 4

8a = 16

divide by 8 both sides

8a/8 = 16/8

a = 2

Hence value is 2.

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Based on the information provided, Vince placed the brake anchor 42 feet away from the base of the ending tree. This distance includes both the length of the bungee cord (24 feet) and an additional 18 feet to allow for stretching.

To determine whether this placement will be sufficient for the brake to reach the tree, we need to consider the length of the bungee cord when it is fully stretched. If the stretched length of the bungee cord exceeds the distance between the brake anchor and the tree, then the brake will not reach the tree and the jump may not be safe.

Assuming that the bungee cord stretches by a factor of 1.5, the stretched length would be:

Stretched length = 1.5 x 24 feet = 36 feet

To determine whether the brake will reach the tree, we need to add the stretched length of the bungee cord to the distance between the brake anchor and the tree:

Total distance = 42 feet + 36 feet = 78 feet

If the distance between the base of the ending tree and the brake anchor is less than or equal to 78 feet, then the brake should just reach the tree when the bungee cord is fully stretched. Otherwise, the brake may not reach the tree and the jump may not be safe.

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Answer:

Allergic to chocolate

Step-by-step explanation:

I don't really eat chocolate that much lol.

Answer:

Well i think i would rather be alergic to chocolate

Step-by-step explanation:

The total amount they will pay = $95.557

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.

Cost of meal = $75.99

tax amount = 6.75% of 75.99

                   = ( 6.75/100 ) * 75.99

                   = $5.129

Tip amount = 19% of 75.99

                   = (19/100)*75.99

                   =  $14.438

Total amount they will pay = $75.99 + $5.129 + $14.438 = $95.557

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