The box plots summarize the data for heights of players on a national

basketball team and a national volleyball team.

Basketball

Volleyball

72 73 74 75 76

77

78

79

Which conclusion can you draw from the displays

one!

O

On average, there is a wide spread of heights of

O

basketball players are shorter than these volleyball pla

O

basketball players have the same height as these

On average

players.

On averag

tball players are taller than these volleyb

Answer:

[tex]y = 2x + \frac{x^2}{2} - 6[/tex]

Step-by-step explanation:

Solution:-

- We are given the following initial value problem:

                             [tex]\frac{dy}{dx} = 2 + x , y ( 2 ) = -6[/tex]

- We will first isolate the variables:

                            [tex]dy = ( 2 + x ).dx[/tex]

- Perform integration for both sides of the equation:

                          [tex]\int {dy} = \int {( 2 + x )}.dx + c\\\\y = 2x + \frac{x^2}{2} + c\\[/tex]

Where,

                         c: The constant of integration

- We will solve for the constant of integration by using the initial value y ( 0 ) = -6 as follows:

                         [tex]-6 = 2(0) + \frac{0^2}{2} + c\\\\c = -6[/tex]

- The final solution can be expressed  as follows:

                         [tex]y = 2x + \frac{x^2}{2} - 6[/tex]

9514 1404 393

Answer:

  (c)  G(x) = x³ -x

Step-by-step explanation:

Replacing x with x+1.5 will shift the graph back left by 1.5 units.

  G(x) = ((x +1.5) -1.5)³ -((x +1.5) -1.5)

  G(x) = x³ -x . . . . . . equation of graph before shift right

Answer:

B

Step-by-step explanation:

Yes because every x value corresponds to exactly one y value.

Answer: B

Step-by-step explanation: The basic idea of a function is you put in some value for x and you get out something for y.

So for a table to be a function, each x term

needs to corresponds to exactly one y-term.

So yes, every x-value corresponds to exactly one y-value.

A common mistake would be to say that this is not a function

because the y-value of 3 repeats twice.

However, that's ok because you don't get

different y-values for the same x.

Answer:

D

Step-by-step explanation:

The diagramatic representation of the life cycle of a darkling beetle is shown in the attached file below.

The metamorphosis of the darkling bettle takes four stages:

egg → larva → pupa→ adult

After laying the eggs by an adult darkling bettle, the eggs are encased in a fluid-like covering to prevent it from damage as a result of environmental factors. The egg metamorphosize into the larva stage; a period of feeding and growth. They then in turn proceed into the pupa stage where they are being enclosed in a cocoon. In the cocoon, they undergo modifications and become sexually matured before they enters into adulthood.

Thus, the stage that represent the change fromm larva to adult is the pupa stage and it is shown in the diagram as option D

Answer:

B;3

Step-by-step explanation:

That is because to complete the box you need the sum to subtract from one of the addends to be able to find the other and

28.42-24.72=3.7

Hope this helps:)

The missing number is 3.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:

Operands: The numbers used in an operation are called operands. Depending on the type of operation, different terms are applied to the operands.

Operator: An operator is the sign used to represent a mathematical operation, such as + for addition, subtraction, multiplication, and division.

Given adding certain number to 24.72 gives 28.42

24.72 + [?].7 = 28.42

let the number be x + .7

equation is

24.72 + x +.7 = 28.42

x = 28.42 - 0.7 - 24.72

x = 3

Hence 3 is the missing digit.

Learn more about Mathematical operators;

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Answer:

i dont get it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Obviously, all multiples of 3 and 7 can be paid.

1 cent can be added by adding a 7-cent stamp and taking away two 3-cent stamps. 2 cents can be added by adding three 3-cent stamps and taking away one 7-cent stamp. Hence any value more than 7 +2(3) = 13 cents can always be accommodated.

Amounts that are impossible:

  1, 2, 4, 5, 8, 11 cents

All other positive integer amounts are possible.

Answer:

tanA = sinA / cosA = 3/5 / 4/5 = 3/4.

Answer:

160

Step-by-step explanation:

So there are 32 ounces in a quart.

32 * 5 = 160

Answer:160 fluid ounces :)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

{12}

Step-by-step explanation:

[tex]A= \{3,6,9,12\} \\ B= \{0,4,8,12 \} \\ A \: \cap \: B = \{12\} [/tex]

Answer:

  54 ft^2

Step-by-step explanation:

The area is the product of length and width:

  A = LW = (9 ft)(6 ft)

  A = 54 ft^2

The area of the floor is 54 square feet.

Answer:

area of the rectangular floor = 54 ft²

Step-by-step explanation:

The area of a rectangle is the product of the length and width. The floor is rectangular therefore the area of the floor can be calculated by using the area of a rectangle.

area of the rectangular floor = length × width

length = 9 ft

width = 6 ft

area of the rectangular floor = length × width

area of the rectangular floor = 9 × 6

area of the rectangular floor = 54 ft²

Answer:

C.) Sometimes

Step-by-step explanation:

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

The word that correctly fills the blank is sometimes, the correct option is C.

Rational Numbers are numbers that can be written in the form of p/q, q≠0.

The sum of two irrational number is sometimes a rational number.

For example the summation of the irrational number with its additive inverse, the sum will be 0, which is a rational number and a whole number.

Therefore, the word that correctly fills the blank is sometimes, the correct option is C.

To know more about Rational Number

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Answer:

Additional cubes added to the rectangular prism= 72cubes

Volume of new rectangular prism = 108in³

Step-by-step explanation:

The question is incomplete without the diagram and not clear to understand.

Let's determine how to find answers to the above using the following:

The diagram used for solving the question has been attached.

From the diagram, the base of the rectangular prism has length =6inches and width = 6inches

Height = 1inch

If 2more layers are added, then height becomes 3inches sinch the two additional layer has same dimensions as the base.

The bottom layer has 6 by 6 dimension

Area = 6×6 = 36in²

Since 1 cube = 1 inch

Number of cubes in the base = 36cubes

Since two layers were added, Additional cubes added to the rectangular prism = 2×36 = 72cubes

Volume of rectangular prism = length×breadth×height

= l×b×h

dimension of new rectangular prism

Length = 6in

Breadth = 6in

Height = 3in

Volume of new rectangular prism = 6×6×3

Volume = 108in³

Answer:

(C)

Step-by-step explanation:

We want the probability of at least one hit in  

missiles to be at least 80%.

Answer:

PO = 36

Step-by-step explanation:

Since both the chords are equal in length so they must be equidistant from the centre.

And

PG = GO

-x+10 = -3(x+2)

-x+10 = -3x-6

-x+3x = -6-10

2x = -16

Dividing both sides by 2

x = -8

Now

PO = PG + GO

PO = -(-8)+10+(-3)((-8)+2)

PO = 8+10+(-3)(-6)

PO = 18+18

PO = 36

Answer:

2 units

Step-by-step explanation:

khan

Answer:

[tex]\boxed{\tt x=2\: units}[/tex]

Step-by-step explanation:

First, we need to set up an equation using the formula for the area of a triangle.

[tex]\boxed{\tt Area=\cfrac{1}{2} \times \: base\times height}[/tex]

Given:

Area: 4

Base: x

Height: 4

____________________

[tex]\tt 4=\cfrac{1}{2} \times\: x\times4[/tex]

[tex]\longmapsto\tt 4=2x[/tex]

Divide both sides by 2:

[tex]\longmapsto\tt \cfrac{4}{2}=\cfrac{2x}{2}[/tex]

[tex]\longmapsto\tt x=\cfrac{4}{2}[/tex]

[tex]\longmapsto\tt x=2[/tex]

Therefore, the missing side is 2 units.

____________________________

First distribute through the set of parentheses.

When we distribute, we multiply the number outside

times each of the terms located inside the set.

So we have -2(x) + -2(4) or -2x - 8.

Now we have -2x - 8 + 5x + 10.

Combine like terms → your numbers and your "x" terms.

-2x + 5x is 3x and -8 + 10 is 2.

So we have 3x + 2.

3x + 2 cannot be simplified any further.

Answer:

Wade

Step-by-step explanation:

Wade equals to 165

Naomi equals to 112

Gail equals to 123

And bailey equals to 150

Answer:

whats the question?

Step-by-step explanation:

Answer:

[tex] p_v =P(z>z_{calc}) [/tex]

In order to establishing the success of the method we need to obtain a p value very low in order to reject the null hypothesis because we need  enough evidence in favor of the alternative hypothesis, so then the best option would be:

f. 0.001

Step-by-step explanation:

We need to conduct a hypothesis in order to test the claim that one of several methods claimed to increase the likelihood of a baby girl so then the system of hypothesis are:  

Null hypothesis:[tex]p\leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

The p value for this case is given by:

[tex] p_v =P(z>z_{calc}) [/tex]

In order to establishing the success of the method we need to obtain a p value very low in order to reject the null hypothesis because we need  enough evidence in favor of the alternative hypothesis, so then the best option would be:

f. 0.001

Answer:

  [tex]\dfrac{x^3-5x^2 +4x}{2x+8}[/tex]

Step-by-step explanation:

The basic idea is to factor each expression and cancel common factors from numerator and denominator.

  [tex]\dfrac{x^2-16}{2x+8}\cdot\dfrac{x^3-2x^2 +x}{x^2+3x-4}=\dfrac{(x-4)(x+4)}{2(x+4)}\cdot\dfrac{x(x-1)^2}{(x+4)(x-1)}\\\\=\dfrac{(x-4)x(x-1)}{2(x+4)}\cdot\dfrac{(x+4)(x-1)}{(x+4)(x-1)}\\\\=\boxed{\dfrac{x^3-5x^2 +4x}{2x+8}}[/tex]

Answer:

21% of the animals are female

Step-by-step explanation:

In total:

There are 40 + 60 = 100 animals.

Female animals.

40 dogs. Of those, 15% are female. So 0.15*40 = 6.

60 cats. Of those, 25% are female. So 0.25*60 = 15.

21 female animals.

21/100 = 0.21 = 21%

21% of the animals are female

Answer:

The elements of the range are the birthdays.

Step-by-step explanation:

A function is a distinct sort of relation in which each element of the domain is combined with precisely one element in the range. A mapping displays how the elements are combined.

A mapping figure comprises of two parallel columns. The 1st column signifies the domain of a function, and the other column for its range.  

Lines or arrows are drawn from domain to range, to signify the relation between any two elements.

A function denoted by the mapping, in which each element of the range is combined with accurately one element of the domain is called one-to-one mapping.

From the diagram provided it is clear that the function denoted by the mapping is an one-to-one mapping.

The elements of the range are:

Birthday : {January 5 , January 7 , February 24 , March 1 , April 7 , May 30 , July 20 , August 1 , November 13 , November 26 }

Thus, the elements of the range are the birthdays.

Answer:

Amy

Devon

Labron

Step-by-step explanation:

Answer: r=d/t

Step-by-step explanation:

This is an equation manipulation problem. Since you are looking for r, you want to get it alone. To do so, you would divide t on both sides. Therefore, you get r=d/t.

Answer:

Each of the students absent for 1, 2, 4 and 5 days get 57, 53, 45 and 40 copies of the the reading books respectively.

Step-by-step explanation:

English Translation

The team of teachers from the Humanistic Training Area decides to distribute 195 copies of reading books to 4 students previously classified on their own merits. But the distribution will be made taking into account absences from classes during the first cycle. How many books does each student receive if their absences have been 1; two; 4 and 5 days, respectively?

Solution

Because the more the number of days absent, the less the number of books each of the 4 students deserve, we have to employ an elaborate scheme.

If 195 copies are distributed equally between 4 People, each person gets 48.75 copies of the books.

Now, if we add another 48.75 copies of books to the total number of books, each person gets 60.9375 books.

But, we can then divide 48.75 extra books on top according to the number of days absent and subtract each person's number from the assumed 60.9375 books, with an extra 48.75 books.

Total number of days absent = 1 + 2 + 4 +5 = 12

(48.75/12) = -4.0625 copies for each absent day.

The student with only 1 absent day gets 60.9375 - 4.0625 = 56.875 copies = 57 copies

The student with 2 absent days, gets = 60.9375 - (2×4.0625) = 52.8125 copies = 53 copies

The student with 4 absent days, gets = 60.9375 - (4×4.0625) = 44.6875 copies = 45 copies

The student with 5 absent days, gets = 60.9375 - (5×4.0625) = 40.425 copies = 40 copies

Hence, each of the students absent for 1, 2, 4 and 5 days get 57, 53, 45 and 40 copies of the the reading books respectively.

Hope this Helps!!!

Answer:

105 days

Step-by-step explanation:

30 divided by 8 to get the rate which equals 3.75

28*3.75= 105 days

Answer:

Step-by-step explanation:

1 find out what kind of  its is

if its equivelent you might use 60 as thee angles then find out