On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4), and point Z is at (negative 3, negative 2).
What is the perimeter of kite WXYZ?

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

for more search question distance

https://brainly.com/question/30395212

#SPJ8

Answer:.3

Step-by-step explanation: if it is 5 or above it rounds up

Complete question :

A conglomerate corporation​ develops, manufactures, and markets a wide range of​ products, including medical diagnostic imaging​ devices, jet​ engines, lighting​ products, and chemicals. In​ 2013, the stock price rose 34.83 %, and in​ 2014, the stock price declined ​8.2%. If one purchased​ $1,000 of some social media stock at the start of​ 2013, its value would be ​$ at the end of 2014.

Answer: 0.2078330

Step-by-step explanation:

The geometric mean is calculated using :

[((1 + r1)(1+r2)(1+r3)...(1+rn))^(1/n) ]- 1

From the question:

2014 stock decline = 8.2% = rate 1(r1) = 0.082

2013 stock increase = 34.83% rate 2(r2) = 0.3483

Number of observations (n) = 2

Hence, geometric mean:

[((1 + r1)(1 + r2))^(1/n)] - 1

[((1 + 0.082) (1 + 0.3483))^(1/2)] - 1

Sqrt[(1.082)(1.3483)] - 1

Sqrt(1.4588606) - 1

= 1.2078330 - 1

= 0.2078330

Complete the following question:

Medical diagnostic imaging devices, jet engines, lighting products, and chemicals are just some of the products that a conglomerate corporation develops, manufactures, and markets. In 2013, the stock price increased by 34.83 percent, but it fell by 8.2 percent in 2014. If you bought $1,000 worth of social media stock in the beginning of 2013, it would be worth $ by the end of 2014.

0.02078330 is the answer.

Step-by-step instructions:

The geometric mean is found by multiplying the following numbers together:

[((1 + r1)(1+r2)(1+r3)...(1+rn))(1/n) ] (((1 + r1)(1+r2)(1+r3)...(1+rn) ] ((1 + r1)(1+r2)(1

+ 1

As a result of the question:

Rate 1(r1) = 0.082 for 2014 stock decline = 8.2 percent

Increase in stock in 2013 = 34.83 percent rate 2(r2) = 0.3483

The number of observations (n) is equal to two.

As a result, the geometric mean is calculated as follows:

[((1 + r1)(1 + r2))(1/n)] [(1 + r1)(1 + r2)] [(1 + r1)(1 + r2)] [ + 1

[((1 + 0.082) (1 + 0.3483)) [((1 + 0.082) (1 + 0.3483)) [((1 + 0.082) (1 + 0.3483)) [ + 1

Sqrt[(1.082)(1.3483)] is the square root of the number Sqrt[(1.082)(1.3483)]. + 1

sqrt(1.4588606) - 1 sqrt(1.4588606) sqrt(1.4588606) sqrt

1.2078330 - 1 = 1.2078330 + 1 = 1.2078330 + 1 = 1.

equals 0.2078330

By concept of capacity and the assumption of constant flow rate, the amount of ounces of juice in the container after 6 seconds is 20 ounces.

Given that the additional juice is added to the container at constant rate. Hence, the final capacity (C'), in ounces is equal to the sum of the initial capacity (C), in ounces, and the product of the flow rate (q), in ounces per second, and time (t), in seconds.

C' = C + q · t     (1)

If we know that C = 9.5 oz, q = 1.75 oz/s and t = 6 s, then the final capacity of the container is:

C' = 9.5 oz + (1.75 oz/s) · (6 s)

C' = 20 oz

By concept of capacity and the assumption of constant flow rate, the amount of ounces of juice in the container after 6 seconds is 20 ounces.

To learn more on ounces: https://brainly.com/question/26950819

#SPJ1

If six regular hexagons surround a regular hexagon of side length 1 then \(3\sqrt{3}\) is the area of triangle ABC.

To find the area of triangle ABC, we need to first find the height of the equilateral triangle ABE. Since AB is the base of the equilateral triangle, we can use the formula for the height of an equilateral triangle, which is h = \((\sqrt{3} /2) * s\), where s is the side length.

Substituting s = 1, we get h = \((\sqrt{3} /2)\).

Now, we can use the formula for the area of a triangle, which is A = (1/2) x b x h, where b is the base of the triangle. Since the base of triangle ABC is AB, which is also the side length of the small hexagon, we have b = 1. Substituting the value of h, we get A = (1/2) x 1 x \((\sqrt{3} /2)\)= \((\sqrt{3} /4)\).

Since there are six identical triangles surrounding the small hexagon, the total area of the six triangles is 6 x\((\sqrt{3} /4)\)= (3/2) x \(\sqrt{3}\). Therefore, the area of triangle ABC is equal to the total area of the six triangles minus the area of the small hexagon. The area of the small hexagon can be found using the formula for the area of a regular hexagon, which is A = (3\((\sqrt{3} /2) * s^2\) , where s is the side length. Substituting s = 1, we get A = \((\sqrt{3} /2)\).

Therefore, the area of triangle ABC is (3/2) x \(\sqrt{3}\) - (3\(\sqrt{3} /2\)) = \((\sqrt{3} /2)\) square units.

So, the answer is (a) 3sqrt (3).

To learn more about hexagons  visit;

https://brainly.com/question/3295271

#SPJ4

Correct question:

Six regular hexagons surround a regular hexagon of side length 1 as shown. What is the area of triangle ABC?

a) 3sqrt(3)

b) 4sqrt(3)

c) 6sqrt(3)

d) 9sqrt(3)

Step-by-step explanation:

the area of a triangle is always

baseline × height / 2

where baseline and height are perpendicular (at a 90° angle) to each other.

so, in our case the area is

7 × 2 / 2 = 7 × 1 = 7 units²

Answer:

The answer is C 66%

Step-by-step explanation:

The order of expressions from the least to greatest is \(\sqrt{3}\), \(\sqrt{pie}\) and 2

In order to find the value of these given expressions, we will have to convert them into a standard form, therefore we will find the value of these expressions by removing the root and finding its actual value

Value of 2 will remain the same as it is already in standard form

Value of \(\sqrt{3}\) in standard form = 1.732

Value of \(\sqrt{pie}\) in standard form = \(\sqrt{3.1459}\) = 1.77

No ordering these expressions we find that 2 is the greatest, followed by 1.77 and 1.732

Hence, the expressions from least to greatest is \(\sqrt{3}\), \(\sqrt{pie}\) and 2

Learn more about expressions:

https://brainly.com/question/14083225

#SPJ9

Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

Learn more about Discrete Random Variable:

https://brainly.com/question/12970235

#SPJ4

the two horizontal lines are parallel so that mean that:

and we can solve for x

Answer:

A(3,-1) and B( -2,1)

Step-by-step explanation:

2x+5y=1. , or. y=(1–2x)/5………….(1)

x^2+5xy-4y^2+10=0…………………..(2)

Putting y=(1–2x)/5 from eqn. (1)

x^2+5x.(1–2x)/5–4/25.(1–2x)^2 +10=0

or. 25x^2+25x.(1–2x)-4.(1+4x^2–4x)+250 = 0

or. 25x^2+25x-50x^2–4–16x^2+16x+250=0

or. 41x^2–41x-246=0

or x^2– x - 6=0

or. (x-3).(x+2)=0

=> x= 3 or -2

But y=(1–2x)/5

=> y= (1–6)/5 or. (1+4)/5

hence, y= -1. or. 1

Answer:

the answer is A. -16

Step-by-step explanation:

3(-16)+3= -45

-45/5=

-9

5(-16)-1=-81

-81/9=

-9

-9=-9

Answer:

its elastic i got it correct trust me also put brainliet plz

Step-by-step explanation:

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

for more search question water  

https://brainly.com/question/17120212

#SPJ8

Answer:

4050 cm cubed

Step-by-step explanation:

15 * 270 = 4050 cm cubed

\(\displaystyle \int_{0}^{\frac{\pi }{3}}~\sin(x)dx\implies \left.\cfrac{}{} -\cos(x)\right]_{0}^{\frac{\pi }{3}}\implies\left( -\cfrac{1}{2}\right) ~~ - ~~(-1)\implies \cfrac{1}{2}\)

Answer:

D. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is different for men and women.

Step-by-step explanation:

What we are testing?

If the distance students travel to get from class is statistically different for men and women.

How we take the decision?

The significance level is the standard of 0.05.

If the p-value is greater than 0.05, there is no evidence that the distances are statistically different for the population.

If the p-value is less than 0.05, there is evidence that the distances are statistically different different for the population..

In this question:

p-value: 0.305 > 0.05, so there is no statistically significant evidence that the means are difference, and the correct answer is given by option d.

the answer is Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information.

x 0.350 0.270 0.340 0.248 0.367 0.269

y 2.8 7.0 4.0 8.6 3.1 11.1

Verify that Σx = 1.844, Σy = 36.6, Σx2 = 0.579554, Σy2 = 279.62, Σxy = 10.4864, and r ≈ -0.896.

Σx 1

Σy 2

Σx2 3

Σy2 4

Σxy 5

r 6

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

for such more question on equation

https://brainly.com/question/17482667

#SPJ8

Vertical angles are angles that are opposite each other when the lines cross and they are equal to each other in that they have the same measure.

Keeping that in mind, we get the equation

Let us subtract 50 x from both sides. This gets us

and then let us add 10 to both sides; this gives

Finally, dividing both sides by 20 gives

which is our answer!

The equation of the line perpendicular to y = - (2 / 3) · x and the point (4, - 8) is y = (3 / 2) · x - 14.

Mathematically speaking, lines are represented by equations of the form y = m · x + b, where m and b are the slope and the intercept of the line. Additionally, two lines are perpendicular to each if the product of their slopes is equal to - 1.

First, we determine the slope of the perpendicular line:

m' = - 1 / m

m' = - 1 / (- 2 / 3)

m' = 3 / 2

Second, the intercept of the perpendicular line is:

b = y - m · x

b = - 8 - (3 / 2) · 4

b = - 8 - 6

b = - 14

Then, the equation of the perpendicular line is y = (3 / 2) · x - 14.

To learn more on perpendicular lines: https://brainly.com/question/17565270

#SPJ1

Answer:

Step-by-step explanation:

eff's roof is three times larger than Monica's roof. What is the measurement of the side where there is a question mark in the picture below? A. 7.64 ft B. 7.73 ft C. 7.93 ft D. 11.6 ft

Answer:

The answer is B: 7.73 ft

Step-by-step explanation:

I was able to solve it by dividing 23.19 ft (Jeff's roof side length) by 3. BONUS: I got it right on the test! :D

Hope you like my answer!

Answer:

$103.68

Step-by-step explanation:

20% 0f 120 is 24

120-24=96

8% of 96 is 7.68

96 + 7.68 = 103.68

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

Read more on domain here: brainly.com/question/17003159

#SPJ1

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

For more such questions on triangle

https://brainly.com/question/1058720

#SPJ8

The amount Chris started with in his savings is $44. option C

1/2x + 10 = 32

1/2x = 32 - 10

1/2x = 22

x = 22 ÷ 1/2

x = 22 × 2/1

x = $44

Therefore, the amount Chris started with in his savings is $44. option C

Learn more about equation:

https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation: