Match each number on the left with the correct description of the number on the right 3 1/2

Using the combination formula, it is found that 84 different groups of 6 people are possible from the 9 remaining friends.

The order in which the friends are chosen is not important, hence the combination formula is used to solve this question.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, 6 friends are chosen from a set of 9, hence:

\(C_{9,6} = \frac{9!}{6!3!} = 84\)

84 different groups of 6 people are possible from the 9 remaining friends.

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Answer:

this wrong

Step-by-step explanation:

Answer:

This question is not fully filled out.

Answer:

b

Step-by-step explanation:

It will take Shanice to ride home rounded to the nearest hundredth is 2.78 hours.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given Shanice took a long bike ride today and is now 27.2 miles from home.

She rides back home at an average of 9.8 miles per hour and this situation can be modeled with the equation d = 27.2 - 9.8t.

Where d represents the number of miles she is from home and t represents the number of hours she rides.

∴  Hours will it take Shanice to ride home is 9.8t = 27.2.

t = 27.2/9.8 hours.

t = 2.775 hours, which is 2.78 hours rounded to the nearest tenth.

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Answer: 8

Step-by-step explanation:

4+4

Answer:  1) $300     2) $624

Step-by-step explanation:

\(\begin{array}{l||l|l}\underline{\quad \text{Item}\qquad \qquad \qquad \qquad}&\underline{\text{Income} }&\underline{\text{Expense}}\\\text{Net Pay}&5000&\\\text{Interest on Deposits}&0&\\\text{Income from Investments}&225&\\\text{Rent}&&3000\\\text{Utilities}&&250\\\text{Satellite Dish}&&175\\\text{Cell Phone Plan}&&135\\\text{Car Payment}&&385\\\text{Groceries}&&200\\\text{Insurance}&&380\\\underline{\text{Recreation}\qquad \qquad \qquad}&\underline{\qquad \quad }&\underline{400\qquad}\\\end{array}\)

TOTALS                              5225      4925

Net Cash Flow = Income - Expenses

                        = 5225 - 4925

                        = 300

*************************************************************************************

\(\dfrac{25\ hours}{week}\times \dfrac{\$8}{hour}\times 4\ weeks\times 78\%\\\\\\=25\times \$8 \times 0.78\\\\= \$624\)

Answer:

\(f(-1) = -6\)

Step-by-step explanation:

The given function is a piecewise function.  Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

\(f(x)=\begin{cases}2x+8\;\;\;\text{for}\;\;\;-5 \leq x < -1\\-6\;\;\;\;\;\;\:\:\:\text{for}\;\;\;\:x=-1\\x+5\;\;\;\;\:\text{for}\;\;\;-1 < x\leq2\end{cases}\)

To find f(-1), find the value of the function f(x) when x = -1.

From the given pieces function, we can see f(x) = -6 when x = -1.

Therefore:

\(f(-1) = -6\)

The number is 18 . A ) The equation is 12 + 10 x  = 192 B ) x = 18 .

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.

B ) Solving above equation 12 + 10 x  = 192

10 x  = 192 -12

10 x = 180

x = 18

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The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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From the information provided in the two-way table.

(4) Of a total of 70 customers that prefered jumbo drinks, 33 prefered it in the Fall.

The answer here is option C

(5) A total of 278 customers were surveyed. Out of these 64 purchased small drinks. Therefore, the percentage of these is calculated as;

The answer here is option A

Answer: 60mph

Step-by-step explanation:

500-300 = 200

200 = distance traveled in 2 hrs

100 = distance traveled every hour

100=2x+20, x being the slower train

80=2x

x=40

40+20 = 60, the speed of the faster train

Answer:

P = 0.309

Step-by-step explanation:

Answer:

a) (-1,0) and (3,0)

b) x=1

c) (1, -4)

Step-by-step explanation:

As you can see in the graph below, the x intercepts of this graph are at (-1,0) and (3,0), the axis of symmetry is x=1, and the vertex is at (1,-4). Hope this helps!

Given:-

Suppose a business wonder has a choice of 5 locations in which to establish her business. She decides to rank each location according to certain criteria,such as price of the store and parking facilities.

To find How many different ways can she rank the 5 locations.

So here there are two criteria. we get,

Since there are 5 locations. we get,

So the total chances are 50.

Answer:

they ate it all together as it all adds to 1

Step-by-step explanation:

1/4+2/5 if you add the missing remainder it totals 1

The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

How to solve for the airplane's groundspeed

To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.

Let's denote:

Vp = airplane's speed = 250 km/h

θp = airplane's heading = 075 degrees

Vw = wind's speed = 85 km/h

θw = wind's heading = 300 degrees

We can then find the eastward (x) and northward (y) components of the velocities:

For the airplane:

Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h

Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h

For the wind:

Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h

Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h

We then sum the x and y components of the two velocities to find the resultant velocity components:

Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h

Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h

The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:

Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h

The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:

θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees

Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

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The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

What are intervals?

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have

A number line.

The set of values that is in the blue line is from -4 to 3.

This means that the blue line includes values from -4 to 3.

There are infinite numbers between -4 to 3.

The blue line denoted that the values -4 and 3 are also included.

The interval that denotes the values between -4 and 3 is:

= [-4, 3]

Thus,

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

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The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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The lateral and total surface area of square pyramid is 128 and 96.

What exactly are squares?

A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The qualities of a rectangle are comparable to those of a square. As a result, a rectangle is only considered a square if all four of its sides have the same length.

The following are the most significant qualities of a square:

(side)² Equals square area

square perimeter=4*side

Now,

Given that side of squared base=6

and height of pyramid is =16

Then lateral surface area =4*area of 4 triangles

=4*1/2*3*16

=96

and Total surface area=Lateral surface area + area of base

=92+6*6

=128

hence,

         The lateral and total surface area of pyramid is 128 and 96.

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Answer:

Step-by-step explanation:

Two numbers r and s sum up to \frac{1}{2} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{2} = \frac{1}{4}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.

Answer:A

Step-by-step explanation:

To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.

The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:

0.82 = 1 - r

r = 1 - 0.82

r = 0.18

Therefore, the rate of decay is 18%, which corresponds to answer choice A.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Riely made a mistake in step 4 because she forgot to cancel the negative sign

Answer:

Step 4

Step-by-step explanation:

edmentum.

We have that what  13%, 10%, 0.125, and 1/5 have in common​ is

These are all numbers less than 1 as the are all decimal of "0."

From the Question we are told that

13%, 10%, 0.125, and 1/5 are number given

We must note that

These are all numbers less than 1 as the are all decimal of "0."

13%, =0.13

10%, =0.10

0.125,=0.125

1/5=0.2

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Answer:

independent Variable

Step-by-step explanation:

Because we already know that x=75, and that a independent variable is An independent variable is a variable that represents a quantity that is being manipulated in an experiment. x is often the variable used to represent the independent variable in an equation.

Answer:

Step-by-step explanation:

Five students= 5x

They all got two more= 5x + 2(5)

5x + 10 = 30

     - 10    -10

5x = 20

    5

x = 4

Answer:

A

Step-by-step explanation:

- 8 × - 3 = 24 ÷4=6

this is the right answer

The values are given as;

Perimeter = 26cm

Height = 4cm

Base = 9cm

The formula for determining the area of a rectangle is expressed as;

Area = lw

Where;

Now, substitute the values into the formula, we have;

36 = (x +7)(x + 2)

Now, expand the bracket

36 = x^2 + 2x + 7x + 14

collect like terms

36 = x^2 + 9x + 14

Make into quadratic equation

x^2 + 9x + 14 -36 = 0

x^2 + 9x - 22 = 0

Factorize the equation

x^2 + 11x - 2x - 22 = 0

Factorize further

x(x + 11) - 2( x + 11) = 0

Then, x - 2 = 0, x = 2

or x + 11 = 0

x = -11

Height = x + 2 = 4cm

Base = x + 7 = 9cm

The formula for perimeter is expressed as;

Perimeter = 2( l +w )

Perimeter = 2( 4 + 9)

Perimeter = 2(13)

Perimeter = 26 cm

Hence, the values are 26cm, 4cm and 9cm respectively.

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Using the concept of rotational symmetry, the angle of rotation about the center that results in an image that matches the original figure is; Option A:  90

Rotational symmetry is defined as a process that requires the rotation of a given object about a reference point to produce its image which has the same characteristics. This tells us that its dimensions, measure of internal angles and size do not change except its orientation. The orientation depicts the way in which the object is positioned.

here, we have,

The sum of an angle formed at a point is 360 degrees.

Thus turning a given object about a point implies its rotation with respect to a measured  angle.

Thus in the diagram given in the question, the pattern shown divides the angle at the centered point into four equal parts.

Thus;

Angle of rotation = 360/4 = 90 degrees

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