The box plots show the amount of time It took members of cross-country teams from two different schools to finish a two-mile run.



A. There is a weak evidence that team members from School J run slower than team members from School K.


B. There is no evidence that team members from School J run slower than team members from School K.



C. It is certain that team members from School J run slower than team members from School K.



D. There is strong evidence that team members from School J run slower than team members from School K.​

Answer:

[tex]a_7=40960x^{33}[/tex]

Step-by-step explanation:

Geometric sequence has explicit form:

[tex]a_n=a \cdot r^{n-1}[/tex] where [tex]a[/tex] is first term and [tex]r[/tex] is the common ratio.

First term here is [tex]a=10x^3[/tex] and [tex]r[/tex] could be found by doing second term divided by first term, [tex]\frac{40x^8}{10x^3}=4x^5[/tex].

Therefore the [tex]n[/tex]th term is given by

[tex]a_n=10x^3 \cdot (4x^5)^{n-1}[/tex].

So the [tex]7[/tex]th term is given by

[tex]a_7=10x^3 \cdot (4x^5)^{7-1}[/tex].

Let's simplify:

[tex]a_7=10x^3 \cdot (4x^5)^{7-1}[/tex]

[tex]a_7=10x^3 \cdot (4x^5)^{6}[/tex]

[tex]a_7=10x^3 \cdot (4^6(x^5)^6)[/tex]

[tex]a_7=10x^3 \cdot (4096x^30)[/tex]

[tex]a_7=40960x^{33}[/tex]

The expression [tex](x^2 + 1)(y^2 + 4)[/tex] can be rewritten using Two Squares as [tex](xy-2)^2+(x+2y)^2[/tex]. The correct option is D.

The Two Squares identity is a special case of the identity: [tex](a^2 + b^2) = (a + b)^2 - 2ab[/tex].

This identity can be used to factorize certain expressions involving squares of variables.

By using the Two Squares identity, we can rewrite expressions in the form of a sum of two squares as a difference of squares, or vice versa. This can be useful in simplifying and solving equations in algebra.

We can use the Two Squares identity, which states that:

[tex](a^2 + b^2)(c^2 + d^2) = (ac - bd)^2 + (ad + bc)^2[/tex]

Comparing with the given expression, we can see that a = x, b = 1, c = y, and d = 2. Substituting these values into the Two Squares identity, we get:

[tex](x^2 + 1)(y^2 + 4) = (xy - 2)^2 + (x + 2y)^2[/tex]

Therefore, the answer is (D) [tex](xy-2)^2 + (x+2y)^2.[/tex]

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Answer: Um

Step-by-step explanation:

9514 1404 393

Answer:

  432 ft²

Step-by-step explanation:

The radius is half the diameter.

  r = (24 ft)/2 = 12 ft

Put the given numbers into the formula and do the arithmetic.

  A = πr²

  A = (3)(12 ft)² = 432 ft²

Answer:

BOC = 42

Step-by-step explanation:

90 = 6z - 6 + 5z + 8

Combine common factors

90 = 11x + 2

Subtract 2 from both sides

88 = 11x

Divide both sides by 11

8 = x

Plug in 8 for x

6(8)- 6

48 - 6

42

Answer:

v+91=180(being co-interior angle)

v=180-91

v=89,

Answer:

Step-by-step explanation:

v°+120°+91°+(180°-155°)=360°

v°+236°=360°

v°=360°-236°

v°=124°

Answer: 9/1

Step-by-step explanation:

Answer:

33cm

Step-by-step explanation:

add all

numbers..........................

Step-by-step explanation:

Answer:

y- intercept, x=0

8(0)-4y=12

y=-3

Answer:

7000

Step-by-step explanation:

This is because when you round to the significant figure, you basically look at any digits at the start of the number, which isn't zero. In this case, it would be in the thousands place 7284. So you round 7284 to the nearest thousands, which, would be 7000

Answer:

La verdad Nose la respuesta espero que alguien te ayude

Answer:

the answer is irrational (goes on forever) ... look at image...

I assume that the answer that you were to provide is

3 R 9 (3 remainder 9 )

or

[tex]3 \frac{9}{19}[/tex]

Step-by-step explanation:

Answer:

1) 4900 is square

2) The greatest common factor 30 and 126 is 6.     The GCF of 126 and 39204 is 18

3) i) 44100 ii) 48024900

There would be 2 empty seats.

Explanation:

If we multiply 10x8 we would get 80. If 78 people show up, we would subtract 78 from 80 and our answer would be two.

Answer:

z = 0

Step-by-step explanation:

3 (z + 7) = 21

3z + 21 = 21

3z = 0

z = 0

Answer:

(4^3)5 = 4^15

Step-by-step explanation:

Answer:

19, 25, 32

Step-by-step explanation:

Find the difference within each number:

5 -> 7: + 2

7 -> 10: + 3

10 -> 14: + 4

With each difference, + 1 is added so we can infer the next difference will be + 5.

14 + 5 = 19

Next is + 6.

19 + 6 = 25

Now + 7.

25 + 7 = 32

Answer:

a. there are 86400 seconds in a 24 hour day

b. to convert a km to a m you say

1000m is equivalent to 1 km

1000m:1km

x:6.86

x=6860m

I hope this helps

Answer:

2

Step-by-step explanation:

Intersection point of diagonals is the mid point of each diagonal.So,

2x+8=6x

6x-2x=8

4x=8

x=8/4

x=2

Answer: x = 2

Concept:

There are many properties for parallelograms, however, here, we need to focus on one property about diagonals.

Diagonals of a parallelogram bisect each other.

Solve:

Given information

One side of the diagonal = 6x

The other side of diagonal = 2x + 8

Given expression deducted from the property of parallelogram

One side = Other side

Substitute values into the expression

6x = 2x + 8

Subtract 2x on both sides

6x - 2x = 2x + 8 - 2x

4x = 8

Divide 4 on both sides

4x / 4 = 8 / 4

[tex]\boxed{x=2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

Let x = the hourly rate of the first mechanic and

     y = the hourly rate of the second mechanic.

As far as the equation goes for the total amount charged:

10x + 5y = 950

As far as the equation goes for the sum of the 2 mechanics' rates:

x + y = 125

Solve the first equation for either x or y. I solved for y:

y = 125 - x

Now plug that into the first equation for y to get:

10x + 5(125 - x) = 950 and

10x + 625 - 5x = 950 and

5x = 325 so

x = 65

The first mechanic charges $65 per hour and the second mechanic charges

y = 125 - 65 so

the second mechanic charges $60 per hour.

Answer:

d. [tex]\displaystyle 0,09375[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3}{32} = [-\frac{3}{4}][-\frac{1}{2}][\frac{1}{4}] \\ \\ 0,09375 = \frac{3}{32}[/tex]

All you are doing is multiplying straight across!

I am joyous to assist you at any time.

Answer:

a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a

f: M ⇒ N is a function from M to N.

Given,

f: M ⇒ N

We need to describe this mathematical statement in our own words.

A function is defined as a way where there is an input that it takes and produces an output.

The set from where the inputs come is called the Domain.

The set of outputs is called the Range.

We have,

f: M ⇒ N

Here

f is a function that takes input from the set M and its output belongs to set N( Natural number).

Here,

M is called the domain.

N is called the codomain.

Thus f: M ⇒ N is a function from M to N.

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Answer:

3^2/3+2^2x7-20/5

Do inverse operations first.

9/3+28-4

3+28-4

Answer = 27

Step-by-step explanation:

Answer:

11c-12a

Step-by-step explanation

Combine like terms

Answer: BFCEDA i took the test and got it right

Step-by-step explanation:

The correct order of steps for copying the angle ABC is BFCEDA.

The process of copying an angle through construction involves ensuring that the distance between the two rays forming the angle is the same.

The steps which are required for copying the angle are:

Hence, the correct order of steps for copying the angle ABC is BFCEDA.

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1/4

Step-by-step explanation:

0.5+0.25+0.17+0.13+0.1+0.1=1.25

Answer:

the exponential form of this is a to the power 6

I.e a⁶

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Answer:

Step-by-step explanation:

5/6 = tahlia / brook

5/6 = x / 915                 Multiply both sides by 915

5*915/6 = x

4575 / 6 = x

x = 762.50

Step-by-step explanation:

let the price of fruits be X per kg

cp of 50kg of friuts =50x

he sells 30kg of fruits on its cp of 35 kg

cp of 30kg fruits=30x

sp of 30kg fruits=35x

remaing fruits is 20kg

he sells 20kg of fruits on cp of 16kg

cp of 20kg fruits=20x

sp of 20kg fruits =16x

total cp is =50x

total sp is =(35+16) =51x

sp>cp(it means profit)

profit =sp-cp

=51-50

= 1

profit%=gain/cp × 100

= 1/50×100

=2%

                                         Thank you

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