(4root2)^2 = ?
can someone help?

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

It is the distance that –5 is from 5 on the number line.

Step-by-step explanation:

It is the distance that –5 is from 5 on the number line.

Answer:

5 to 5 on the number line!

Step-by-step explanation:

Have a jolly weekend!^_^

9514 1404 393

Answer:

  512/5

Step-by-step explanation:

Put the number where the variable is and do the arithmetic

  k^3/5 = 8^3/5 = 512/5

Answer:

2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Step-by-step explanation:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number.

Answer:

9.98- 2.53 = 7.45

7.68 + 13.07 = 20.75

100.03 - 16.28 = 83.75

Step-by-step explanation:

 9.98

- 2.53

_____

7.45

  1   1        - Process of carrying 10's

   7.68

+ 13.07

_______

 20.75

0000 13 ⇔ What the number becomes after carrying

↑↑↑↑↑

100.03

- 16.28

______

83.75

Happy New Year!

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

The 98% confidence interval for the mean of all the tree dates between 1216.4 to 1304.5 .

The data is 1245, 1245 , 1321 , 1191 , 1295 , 1330 , 1239 , 1250 , 1228.

98% confidence interval for the data set .

Mean (x) = ( 1245+1245+1321+1191+1295+1330+1239+1250+1228 ) / 9

mean = 11344/9 = 1260.444

Sample standard deviation:

\(\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}\)

σ = √(16620.04/9)

σ = 45.6

Confidence Interval for the mean

= x ± z ×( s /√n)

Lower limit = 1260.4 - (2.896) × 45.6/3 = 1216.4

Upper limit = 1260.4 + (2.896) × 45.6/3 = 1304.5

In frequentist statistics, a confidence interval (CI) is still a range of estimates for something akin to an unknown parameter. Although the 90% or 99% self-esteem levels are occasionally used for calculating a confidence interval, the 95% self-esteem level is the most common.

Hence the 98% confidence interval for the mean of all the tree dates between 1216.4 to 1304.5 .

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Answer:

(a) 40 into 1120=28....28 into 1120=40 so 1120 is the denominator of 40&28

9514 1404 393

Answer:

  a)  1120

Step-by-step explanation:

If 28 and 40 are denominators of fractions, one way to find a common denominator is to simply multiply these values:

  28×40 = 1120 . . . . a possible common denominator

__

The Least Common Denominator is the least common multiple (LCM) of these denominator numbers. The LCM is their product, divided by their greatest common factor. Here, that factor is 4, so the least common denominator is 1120/4 = 280.

Answer:

390 pens in total

Step-by-step explanation:

Each box has 6 black and 4 black

so the total amount of pens per box should be 10 because 6+4=10

Since we have to use distributive property you can write the equation (6+4)*39 because you need to figure out the total amount of pens in all the boxes.

6+4 is 10

and 10 * 39 is 390

therefore the answer is 390 pens in total

Answer:

C

Step-by-step explanation:

you can divide y/x

1.2/4= 0.3

2.4/8= 0.3

3.9/13= 0.3

The derivative of given ƒ(x) is:

\($f'(x) = \frac{3x^2 - 6 - 6\log(x)}{x(x^2+5)^2}$\)

Differentiation is a mathematical process used to find the rate at which a function changes with respect to one of its variables. It is the process of finding the derivative of a function, which is a measure of how much the function changes as its input changes. The derivative is used to analyze the behavior of functions, find maximum and minimum values, and solve optimization problems. It is an important concept in calculus and is used in many areas of mathematics, science, and engineering.

We can use the quotient rule to differentiate ƒ(x):

\(f(x) &= \frac{2+3\log(x)}{x^2+5} \ \\ \\ \\f'(x) &= \frac{(x^2+5)\frac{d}{dx}(2+3\log(x)) - (2+3\log(x))\frac{d}{dx}(x^2+5)}{(x^2+5)^2} \\ \\\ &\\= \frac{(x^2+5)\left(0+\frac{3}{x}\right) - (2+3\log(x))(2x)}{(x^2+5)^2} \\\ \\ \\ &= \frac{3x^2-6-6\log(x)}{x(x^2+5)^2}\)

Therefore, the derivative of given ƒ(x) is:

\($f'(x) = \frac{3x^2 - 6 - 6\log(x)}{x(x^2+5)^2}$\)

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Based on the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. So, we can use this to find the possible values of the third side of the triangle.

The two given sides are 15 cm and 17 cm. We can label the unknown side as "x". Then, we can set up an equation:

15^2 + 17^2 = x^2

Simplifying this equation, we get:

225 + 289 = x^2

514 = x^2

x = sqrt(514)

Therefore, the possible value of the third side that would make it a right triangle is approximately 22.72 cm.

Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. Kimberly had 60 marshmallows at first.

Generally, Let's call the number of marshmallows that Kimberly had at first X.

We know that Kimberly had 2 times as many marshmallows as Chris at first, so Chris had X/2 marshmallows.

After eating 15 each, Kimberly had X - 15 marshmallows, and Chris had X/2 - 15 marshmallows.

We also know that Kimberly had 3 times as many marshmallows as Chris after eating 15 each, so

(X - 15) = 3 * (X/2 - 15).

(X - 15) - 3 * (X/2 - 15) = 0

Then, we can simplify the left side of the equation:

X - 15 - 3 * X/2 + 45 = 0

Combining like terms, we get:

-3 * X/2 + X - 15 + 45 = 0

Simplifying further:

-X/2 =-30

X = 60

Therefore, Kimberly had 60 marshmallows at first.

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Answer:

It comes out to around 127

Step-by-step explanation:

Answer:

z(max)  = 2350

x₁  =  18          x₂  =  10

Step-by-step explanation:

                             Vol (ft³)         W (p)    Income ($)

Cargo A  (x₁)             50              200          75

Cargo B  (x₂)            10               360          100

Max load limit       1000            7200

Objective Function

z  =  75*x₁   +  100*x₂

Constraints:

Volume constraint:

50*x₁  +  10*x₂  ≤ 1000

Weight constraint:

200*x₁  +  360*x₂  ≤ 7200

Model:

z  =   75*x₁   +  100*x₂       to maximize

Subject to:

50*x₁  +  10*x₂  ≤ 1000

200*x₁  +  360*x₂  ≤ 7200

x₁  ≥  0        x₂  ≥ 0    x₁  and x₂  integers

After 6 iterations with an on-line solver optimal solution is:

z(max)  = 2350

x₁  =  18          x₂  =  10

Answer:

x + 7

Step-by-step explanation:

You can locate points on a plane (or more specifically, a line segment) that are equally spaced apart from points A and B using a compass.

How can you use a compass to make a locus of points that are equally spaced between A and B?

We must create an incircle, which is a circle inside of a triangle. We can accomplish this by creating an angle bisector from two sides; the intersection point will serve as the incentre. The center of the required circle.

The location where two points are equally distant from one another is known as the angle bisector.

Therefore,

You can locate points on a plane (or more specifically, a line segment) that are equally spaced apart from points A and B using a compass.

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If the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

You assemble the functions (that is, insert x into one function, plug that function into the suggested inverse function, then simplify) and check that you end up with simply "x" to establish (or refute) that two functions are the inverses of one another.

With this in mind, you have a general idea of what an inverse is and how to prove it and solve it on a graph by checking for its symmetricity.

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Answer:

m = 60

Step-by-step explanation:

So I see the points (3, 160) and (6, 340).

\(\frac{ y_{2} -y_{1} }{x_2 -x_1} = m = slope\)

\(\frac{340 -160}{6-3} = \frac{180}{3} = 60\)

There you go! I hope this helps! :)

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

Answer:

let the unknown side be 'x'

Step-by-step explanation:

then sides of triangle became 'x', 'x,'and 'x-4'

we know,

perimeter =(x)+(x)+(x-4)

20 m =3x-4

3x= 24

x =8m

hence sides of triangle are 8 m, 8m and 4m

hi

4/7  =   8

7/7 =  ?  

so ?  =  7/7 * 8  /4/7 =   8/4/7 =  8 *7/4 = 4*2*7 /4 =   2*7 = 14

so whole thing  is  14

let's check :    14 * 4/7 =   56/7 = 8

Match initial data. answer is correct.

Answer:

k

Step-by-step explanation:

Answer:

Line A equation = y=-9/8x+69/4

Line B equation = y=-10/9x+131/9

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

okay . so everything seems to be to the second power.

-1 to the second power = -1

3 x 3 = 9

-1 + 9 = 8 + -1 = 7

7 - 3 = 4

Answer:

6

Step-by-step explanation:

you can solve it on a T84 calculator. Just rewrite the equation with the variable's equivalent values.

I rewrote it as -1^2+3^2+1-3 and got 6. If you don't own a T84 calculator there are apps for it as well as websites for your laptop or pc. They can be very handy in a pinch!

In conclusion, x = 5 is the equation of a vertical line across the location (5,2).

A vertical line is one that is straight up and down and lacks a horizontal component, giving it an arbitrary slope. As a result, it has the equation x = c, where c is the x-coordinate of any point on the line. Since the line in this instance goes through the coordinates (5,2), its equation is x = 5.

This is due to the fact that the line is vertical and does not slant left or right, therefore every point on it will have an x-coordinate of 5. Since the line travels through point (5,2), the equation x = 5 includes all potential points along the line.

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Answer:

49.12 ft^2

Step-by-step explanation:

We can add the areas of the two figures

We have a triangle

A = 1/2 bh

A = 1/2 (6)(8)

A = 24

We have 1/2 of a circle so find 1/2 of the area

A = 1/2 ( area of a circle)

   = 1/2 ( pi r^2)

The diameter is 8 so the radius is 4

  = 1/2 ( 3.14 * 4^2)

   = 25.12

Add the areas together

24+25.12 = 49.12

Answer:

49.12 ft²

Step-by-step explanation:

Answer:  x = -3/2

Step-by-step explanation: