When you apply a power to a product of two or more terms, you __________ the exponent.

Questions:

a. The jet ski is for two persons and has turbo packs.

b. The jet ski is not for two persons but has turbo packs.

Answer:

[tex]P(P\ and\ T) = \frac{10}{29}[/tex]

[tex]P(P\ and\ T') = \frac{270}{841}[/tex]

Step-by-step explanation:

Given

[tex]n=29[/tex] --- Total

[tex]T = 14[/tex] --- Two person skis

[tex]P = 18[/tex] --- Turbo packs skis

[tex]P\ and\ T = 10[/tex] --- Two person ski and Turbo packs

Solving (a):

This is represented as: [tex]P(P\ and\ T)[/tex]

This is calculated as:

[tex]P(P\ and\ T) = \frac{n(P\ and\ T)}{n}[/tex]

[tex]P(P\ and\ T) = \frac{10}{29}[/tex]

Solving (a):

This is represented as: [tex]P(P\ and\ T')[/tex]

This is calculated as:

[tex]P(P\ and\ T') = P(P)\ and\ P(T')[/tex]

[tex]P(P\ and\ T') = P(P)\ *\ P(T')[/tex]

Using the complement rule, we have:

[tex]P(T') = 1 - P(T)[/tex]

The equation becomes:

[tex]P(P\ and\ T') = P(P)\ *\ [1 - P(T)][/tex]

[tex]P(P\ and\ T') = \frac{n(P)}{n}\ *\ [1 - \frac{n(T)}{n}][/tex]

[tex]P(P\ and\ T') = \frac{18}{29}\ *\ [1 - \frac{14}{29}][/tex]

[tex]P(P\ and\ T') = \frac{18}{29}\ *\ \frac{29-14}{29}[/tex]

[tex]P(P\ and\ T') = \frac{18}{29}\ *\ \frac{15}{29}[/tex]

[tex]P(P\ and\ T') = \frac{18*15}{29*29}[/tex]

[tex]P(P\ and\ T') = \frac{270}{841}[/tex]

Answer:

26 mm

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

you use the Pythagorean theorem so it look like: 10^2 + 24^2 = c^2

then u solve with algebra

Answer:

Graph 4

Step-by-step explanation:

Step-by-step explanation:

Area of rectangle= l×b

= 4cm×6cm

= 24cm²

Area of circle. = πr²

radius of circle = diameter÷2=6÷2=3cm

Area of circle. = 3.14×3²=3.14×9

Area of circle. = 28.26cm²

[tex]area \: of \: composite \: figure = area \: of \: circle \: + area \: of \: rectangle[/tex]

Area of........... = 28.26cm²+24cm²

= 52.26cm²

PLEASE MARK BRAINLIEST.

The area of the composite shape is: B. 38 cm²

Area of a composite shape = sum of the area of each shape that makes up the composite shape.

Thus:

Area of composite shape = area of semicircle + area of rectangle

= 1/2πr² + length × width

Radius (r) = 1/2(6) = 3 cm

Length = 6 cm

Width = 4 cm

Substitute

Area of composite shape = 1/2(3.14)(3²) + 6 × 4

Area of composite shape = 38 cm²

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Answer:

True

Step-by-step explanation:

It passes the vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point

this means that for every input (x value) there is only one output (y value)

Yes, The graph represents a function.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to show a graph.

Now, We know that;

The vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point, then  it represent a function.

Here, The graph satisfy vertical line test, this means that for every input (x value) there is only one output (y value).

Thus, The graph represents a function.

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Answer:

6 cookies

Step-by-step explanation:

Roger wants to place 84 sugar cookies and 66 chocolate chip cookies into plastic bags. Each bag must have the same number of cookies and only one type of cookie must be in each bag.

For the 84 sugar cookies:

number of cookies : 1    2     3      4      6     7      12      14      21     28    42    84

number of bags    : 84   42   28    21    14    12     7        6       4       3      2        1

For the 66 chocolate cookies:

number of cookies : 1       2      3       6      11       22     33      66

number of bags      : 66   33    22     11       6       3        2       1

The maximum common factor between 84 and 66 is 6.

Therefore 6 cookies should be placed in each bag. For sugar cookies, 6 cookies would be placed in each of the 14 bags while for the chocolate cookies, 6 cookies would be placed in each of the 11 bags.

Answer:

the unkniwn number if the variable would be 16

Step-by-step explanation:

bc if u divie 10 by 6 its eguals up to 11 then u add 5 and it equals 16

Answer: 8 batches

explanation: 5 1/3 divided by 2/3 equals 8. To find out how many batches were made, you need to divide the total amount used by the amount needed for one batch.

Answer:

8 batches

Step-by-step explanation:

I divided 2/3 by 5 1/3

9514 1404 393

Answer:

  [[-14][-1]]

Step-by-step explanation:

Row m of the first matrix is multiplied term-by-term by column n of the second matrix to get term (m,n) of the product matrix.

  [tex]\left[\begin{array}{cc}2&-4\\3&-1\end{array}\right]\times\left[\begin{array}{c}1&4\end{array}\right] =\left[\begin{array}{c}(2)(1)+(-4)(4)&(3)(1)+(-1)(4)\end{array}\right] =\left[\begin{array}{c}-14&-1\end{array}\right][/tex]

Answer:

y = x + 2

y =-x - 4

Step-by-step explanation:

Find the slope and y-intercept of each lines to write the equation in slope intercept form: y = mx + b where m is the slope and b is the y-intercept

9514 1404 393

Answer:

  C  f(x) = {4e^x -5, ..., -x +7, ...

Step-by-step explanation:

The easiest portion to check is the constant section in the interval [0, 6]. All of the function definitions agree on that, so that doesn't help choose the right answer.

__

Next easiest is the linear section at the right. It has a negative slope. Extension of the line to the y-axis shows it has a positive y-intercept. This eliminates choices A and D.

__

The horizontal asymptote of the exponential portion at the left is -5. Both of the remaining choices B and C agree on that. The exponential is increasing at an increasing rate, so its coefficient is positive. This eliminates choice B.

The appropriate description of the function on the graph is offered by choice C.

_____

The graph below plots the function. We note that the given graph seems to show the exponential curve incorrectly.

Answer:

Step-by-step explanation:

Formula

The first thing you must do is find the surface area. The formula is right below this sentence.

Surface area = 2*L*w + 2*L*h + 2 * w * h  Substitute givens into this formula

The choice of what to make the Length, width and height is arbitrary

Givens

Solution

Surface area = 2*12.3*7.5 + 2*12.3*6.4 + 2*7.5*6.4

Surface area = 184.5 + 157.44 + 96

Surface area = 437.94 in^2

Cost of Paint

The question is not  really about Surface Area. The question is about the cost of paint given that 1 square inch costs 0.25 dollars.

Cost = Surface Area * 0.25

Cost = 109.485 dollars or

Cost = 109.49   rounded.

Answer:

Jerome's brother

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the coordinates of two points to determine the slope of the line through them.

Using (3,105) and (1,35):  slope = (105-35)/(3-1) = 35

Point-slope equation for line of slope 35 passing through (1,35):

y-35 = 35(x-1)

y = 35x, which is equivalent to Brian's equation.

Answer:

2/5

Step-by-step explanation:

After solving the given equation, we get the value of x is

"An equation is a statement of equality between two expressions consisting of variables and/or numbers."

Solve the given equation, to find the value of x

[tex]\frac{2x}{3}-1 =4\\\frac{2x-3}{3}=4\\ 2x-3=12\\2x=15\\x=\frac{15}{2}\\ x=7.5[/tex]

Hence, the value of x is 7.5

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Answer:

The answer is k = -13.

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex] - 7 - 6 = k[/tex]

2) Simplify -7-6 to -13.

[tex] - 13 = k[/tex]

3) Switch sides.

[tex]k = - 13[/tex]

Therefor, the answer would be k = -13.

Answer:

Step-by-step explanation:

839°

Answer:

no.

Step-by-step explanation:

Answer:

I don't believe there is any laws specifically saying that its illegal, but its probably not advised.

Answer:

32

Step-by-step explanation:

:)

Answer:

$883.14

Step-by-step explanation:

Have a great day! ;)

Answer:

813.95*%8.5=69.19

69.19+813.95=883.14

883.14

Answer:

in total? if so it is 3b +1 books

Step-by-step explanation:

Answer:

The first thing I am going to say about the Olympic Games is the way the world is in its own right now and the conclusion sentence is a bit of a mystery for you to see if it can get a bit more interesting and more interesting to the point of view and see what the other person has to do to the other person or the person you are in

9x+6-4x=4x+7

5x+6=4x+7

   -6       -6

5x=4x+1

-4x -4x

x=1

---

hope it helps

Answer:

It’s the last option; 10/24 and 20/24

Answer:

x = a is a zero of a polinomial f(x), this is the same than: f(x) has a root at x = a

Then: f(a) = 0.

a) x = a is a ____ of the polynomial equation f(x) = 0.

If we define f(x) = 0, then x = a is a solution of the equation.

Then the complete sentence is:

x = a is a solution of the polynomial equation f(x) = 0.

b) ____ is a factor of the polynomial f(x).

Remember that if a polynomial p(x) of degree n has the roots x₁, x₂, ..., xₙ

Then we can write p(x) in the factorized form as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Where A is a real number.

Then if in this case we know that a is a root of f(x), then (x - a) is a factor of the polynomial f(x), then the complete sentence is:

(x - a) is a factor of the polynomial f(x).

c) (a, 0) is a ____ of the graph f(x)

We usually use the notation y = f(x).

Then the points of the form (x, f(x)) are the points that belong to the graph of f(x).

In this case, the point (a, f(a)) = (a, 0)

This point belongs to the graph of f(x), then the complete sentence can be written as:

(a, 0) is a point of the graph f(x).

Answer:

6 feet

Step-by-step explanation:

Answer:

square

Step-by-step explanation:

it is a square because all the shapes/parts are the same size

it also has 6 faces, 12 vertices