The graph shows a function that models the value V (in millions of dollars) of a stock portfolio as a function of time t (in months) over a 18-month period.

Answer:

M = 4pi²a³ / GT²

Step-by-step explanation:

Cross multiply: T² × GM = GMT²

1 × 4pi²a³ = 4pi²a³

It becomes: GMT² = 4pi²a³

Divide both sides by GT² to solve for M

We have : M = 4pi²a³ / GT²

Answer:

Width = 6 m

Length = 10 m

Step-by-step explanation:

Let the width of the table be x meters.

Therefore, length of the table = (x + 4) meters.

[tex]length \times width = Area \\ \\ x(x + 4) = 60 \\ \\ {x}^{2} + 4x - 60 = 0 \\ \\ {x}^{2} + 10x - 6x - 60 = 0 \\ \\ x(x + 10) - 6(x + 10) = 0 \\ \\ (x + 10)(x - 6) = 0 \\ \\ x + 10 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 10 \: \: or \: \: x = 6 \\ \\ \because \: dimensions \: can \: not \: be \: negative \\ \therefore \: x \notin \: 10 \\ \implies \: x = 6 \\ x + 4 = 6 + 4 = 10 \\ width \: of \: table = 6 \: m \\ length \: of \: table = 10 \: m[/tex]

9514 1404 393

Answer:

  4s

Step-by-step explanation:

Let s represent the length of each of the four sides of the square. The perimeter is the sum of the lengths of the sides, so is ...

  s + s + s + s

We use multiplication to signify repeated addition. So, this can be written more simply as ...

  4s . . . . perimeter of a square of side length s

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

i hope it help

Answer:

350

Step-by-step explanation:

8*9-2*5=

72-2*5=

70*5=

350

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events A and B are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

[tex]P(A\cap B)=0[/tex]

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0[/tex]

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, [tex]P(A\cap B)=0[/tex].

Events A and B are independent  if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, [tex]P(A\cap B)=P(A)\times P(B)[/tex].

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that [tex]P(A\cap B)=0[/tex].

Now compute the value of [tex]P(A)\times P(B)[/tex] as follows:

               [tex]P(A)\times P(B)=0.30\times 0.40=0.12\neq 0[/tex]

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

The location of the circumference of a circle is the set of points that are equidistant from a given point

Reason:

Given information;

The distance of Rosey from Billy = 10 feet

The distance of the rest of the class from Bill = 10 feet

Required:

The shape the positions of the class formed in relation to Billy

Solution;

The distance from Billy to each pupil in the class is equal, (10 feet), therefore, Billy is at a central position to the rest of the class

Therefore, the shape that the rest of the class form in relation to Billy is a figure that has Billy as the center or centroid

If the number of pupils in the class is sufficiently, large, the shape formed will be a circle, given that a circle is formed by the set of points that have equal distance from a particular points

Therefore, the shape formed by the rest of the class in relation to Billy is the shape of a circle

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Answer: 32 1/2 meters = 106.63 ft

Step-by-step explanation: 1 meter is 3 ft and 3.37 inches, or 39.37 inches :)

Answer:

1035

1036

1037

1038

1039

1040

1041

Step-by-step explanation:

pls heart and brainliest

Answer:1036, 1037, 1038, 1039, 1040.

Step-by-step explanation:

Answer:

answer is b. a rectangle is folded by a vertical and horizontal line going through its center

Step-by-step explanation:

if you folded it along the lines of symmetry, the rectangle would line up with itself

A rectangle is folded by a vertical and horizontal line going through its center, has all the correct lines of reflectional symmetry for the rectangle.

A well-balanced proportion in which two images or figures are the same size and shape is referred to as symmetry.

When the same figure is obtained following a transformation in geometry whether it be a reflection or a rotation symmetry has occurred.

An example of a shape with reflection symmetry is a rectangle. A line of reflection that passes through the center of two different sides will always be symmetrical.

There are two symmetry lines in a rectangle.

Each side of the rectangle would match up exactly if the rectangle were folded along each line of symmetry.

Keep in mind that a shape must possess at least one line of symmetry in order to qualify as having reflection symmetry.

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Answer:

for every 5 boys there are b girls

Step-by-step explanation:

that's how u read ratios, for every x there are y amount of something else. portions is how we'll describe it!!

Answer: C

Step-by-step explanation:

For every five (5) boys, there are eight (8) girls.

ℎ :)

Answer:

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a1 =9,b1 =3,c1 =12

⇒18x+6y+24...eq2

⇒a2 =18,b2 =6,c2 =24

⇒a1/a2 =9/18  =1/2

​⇒  b1/b2=  3/6 =  1/2

⇒  c1/c2=  12/24=  1/2

comparing

⇒  a1/a2,b1/b2,c1/c2  

⇒  a1/a2=b1/b2=c1/c2

Hence, the line represented by eq1 and eq2 are coincidents

Step-by-step explanation:

The answer is E bro bro

Answer:

8+12= 2x

multiply all of them by power of 2

Step-by-step explanation:

so,

64+144 = 4x

208=4x

x = 52 what is the root of 52 the answer is

x = 7.188 or 3/16

Answer:

56 photos-7 minutes  

X photos-27 minutes

X=1 512 :7= A scanner will scan 216 photos

Step-by-step explanation:

Answer:

a) 180 degrees

b) 120 degrees

c) 90 degrees

Answer:

31/20

Step-by-step explanation:

just cross multiply and add

(3x5 + 4x4) / 4x5

Answer: 31/20 or 1.55

Answer:   The box is 13,176 cubic inches larger than originally planned.

The side lengths turned out to be 6 inches longer than the 24 inches originally planned.

Step-by-step explanation:

To find the intended volume, "cube" 24  (24×24×24)

[tex]24^{3}= 13824[/tex]

To find the difference, subtract  13,824 from 27,000

27000 - 13824 = 13176

To find the actual side lengths of the box that was built take the cube root of 27000.

[tex]\sqrt[3]{27000}=30[/tex]

To find out how much longer,  subtract 24 from 30.

30 - 24 = 6

Answer:

14(3x-1) / 5x^2 (3x+ 1)

Step-by-step explanation:

Please let me know if I gloss over something you don't understand

1) First simplify the complex fraction:

This can be written as

18x-6/ 15x + 5  *  21x^2 / 9x^5

which can be simplified to

18x-6/ 15x + 5  *  7/ 3x^3

which can be written as

(18x-6) * 7 / 3x^3 (15x+ 5)

2)

factor 3 from the top of the expression

3(6x-2) * 7 / 3x^3 (15x + 5)

3)

reduce the fraction with 3

3(6x-2) * 7 / 3x^3 (15x + 5)

(6x-2) * 7 / x^3 (15x + 5)

4)

Distribute 7 through the parenthesis on the top

42x-14/ x^ 3 (15x+ 5)

5)

Distribute x^3 through the parenthesis on the bottom

42x-14/ 15x^4 + 5x^3

6)

factor 14 from the top of the expression

14 (3x -1)/ 15x^4 + 5x^3

7)

factor 5x^3 from the bottom

14 (3x -1)/ 5x^3 (3x + 1)

Answer:

8/25

Step-by-step explanation:

Answer

B.

Step 1: Calculate the price of 3 biscuits.

Step 2: Calculate the price of 3 sausages.

Step 3: Add the total amounts from Steps 1 and 2 to the amount of the tip.

Step 4: Subtract that total amount from $25.

Step-by-step explanation:

The total amount paid will be the price for 3 biscuits, 3 sausages, and the tip. The change will be the difference between this sum and $25. Choice B is an example of one way this calculation can be done.

Answer:

116

Step-by-step explanation:

es 116 porque lo cheque

Answer:

x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 13 = 8 x + 37

Subtract 8 x + 37 from both sides:

x^2 - 8 x - 24 = 0

Add 24 to both sides:

x^2 - 8 x = 24

Add 16 to both sides:

x^2 - 8 x + 16 = 40

Write the left hand side as a square:

(x - 4)^2 = 40

Take the square root of both sides:

x - 4 = 2 sqrt(10) or x - 4 = -2 sqrt(10)

Add 4 to both sides:

x = 4 + 2 sqrt(10) or x - 4 = -2 sqrt(10)

Add 4 to both sides:

Answer:  x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)

200m - 100m + 48,250 = 50,250 - 150m

(Add or subtract common variables)

100m + 48,250 = 50,250 - 150m

(Add 150m to both sides)

250m + 48,250 = 50,250

(Subtract 48,250 to both sides)

250m = 2000

(Divide 250 to both sides to isolate m)

m = 8

Answer:it would be ten weeks I think

Step-by-step explanation:

Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten

8.50 *10 = 85

Answer:

Answer:it would be ten weeks I think

Step-by-step explanation:

Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten

8.50 *10 = 85

Answer:

y=8⇒8=24x

x=24/8=3

Step-by-step explanation:

The value of y when x = 80 is 20.

It is required to find the value of y.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Solution:

"Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX

"K" is the constant of proportionality and must be determined from the initial information.

According to given question we have,

If Y = 45 when X=180

It means

45 = 180K

K = 45/180

K = 0.25

Now that we know the value of K, we can use it to calculate the value of Y when X=80

Y = (0.25)(80)

Y=20

Therefore, the value of y when x = 80 is 20.

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