Hannah's friend Ami would like the group of 5 performers to include more.
males than females. The order in which they perform is no longer
relevant.
iii) Find the number of different selections of 5 performers with more
males than females.
iv) Two of the applicants areMr andMrs Blake. Find the number of
different selections that include Mr and Mrs Blake and also fulfil Ami's.
requirement.

Answer: True

Step-by-step explanation:

If you look both triangles have the same angles, so that means that they are congruent.

The domain of the function of the equation cannot include zero because h(0) is not real.

A scale used to weigh objects is analogous to an equation. When the two pans are filled to the same level with anything, the scale will balance and the weights will be considered to be equal (such as grain).

The equation is given as  [tex]h(x) = \sqrt{2x^2+5x+3}[/tex]

The equation at x=0 given

h(0) = √(0+0-3)

or, h(0) = √(-3) which is an imaginary number

Therefore for the equation the value of x at 0 is undefined.

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From the table :

Lin worked for 5 hours and earned 90$

LIn worked for 1 hour and earned 18$

Lin worked for 8 hour

so the earning is

Lin worked for 8 hours so the earning is 144$

If lin works for 3 hours then the earning is

So the answer for 3 hours is 54$.

If lin works for 21 hours then the earning is

so the answer for 21 hours is 378$.

The packing carton has a square bottom with measures 18in x 18in and has a volume of V=3ft³

The volume of cubic prims can be calculated by multiplying its width by its length and height:

So the formula to calculate the volume is

If we know the width, length, and volume we can determine the height. First, write the formula for h, that is, divide the volume by the width and height:

The units of the width and length are in inches and the volume is in cubic feet, to determine the height of the box, all units must be the same. To make the calculations easier I will pass the units from inches to feet.

The unit rate between inches and feet is the following:

To express 18 inches in feet you have to multiply them by 1/12

This means that the width and length of the box measure 1.5ft

Now we can determine the height of the box as follows:

w=l=1.5ft

V=3ft³

The height of the box is 3/4ft, if you multiply it by 12 you can express the measure in inches:

The box has a deph of 9 inches.

7/9 ÷ 3/9 =

= (7•9)/( 3•9)

= 63/27 = 7/3

Answer is 7/3

The number of cups needed by the chef is 9 1/3 cups.

A fraction simply means a part of a whole number.

In this case, the recipe requires 2 and 1 third cups of flower the chef needs to increase the recipe by a factor of 4.

The cups needed will be:

= 2 1/3 × 4

= 7/3 × 4

= 28/3

= 9 1/3 cups.

This illustrates the concept of fractions.

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According to the given data we have the following:

measure of three angels of a triangle are 43, 70, x

x?

The sum of the measures of the three angles of the triangle is 180

Therefore, to calculate the value of x we would have to make the following calculation:

43 + 70 + x = 180

113+ x=180

x=180-113

x=67

Therefore, the value of the angle of x would be 67

Answer:

B. [tex]4*10^6[/tex]

Step-by-step explanation:

All you have to do is divide the first value by the second value to find the ratio between the two numbers.

The equation would look like this:

[tex]\frac{9.2*10^8}{2.3*10^2}[/tex] or [tex]\frac{920000000}{230}[/tex]

Solving this gives you [tex]4 * 10^6[/tex], or 4000000.

You can also figure this out without a calculator. Simply subtract the smaller power from the larger power to get your exponent.

Since this problem has [tex]10^8[/tex] and [tex]10^2[/tex], subtract 2 from 8 to get 6. This will be the exponent in your answer, ruling out answers A and C.

Then, just estimate 9.2/2.3. You can do 9/2 to get 4.5, which is closer to 4. Therefore, D is ruled out, so the answer must be B.

Hope this helps :)

The number of hours it will take Ganymede to complete a full rotation is; 171.25 hours.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The first step must be to convert days to hours. A day is equivalent to the 24 hours.

1 day = 24 hours

24 x 7 = 168 hours

The second step must be to convert minutes to hours,

60 minutes = 1 hour

15 / 60 = 0.25 hours

Now, add up all the converted hours together;

Total hours = 168 hours + 3 hours + 0.25 hours

Total hours = 171.25 hours

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answer:

A. F(x) = -x^7+4x^3-2x^2

The probability to choose WX > YZ is 1/2.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

Four points W, X, Y, Z are chosen at random on the circumference of a circle.

Now,

By the four points W, X, Y, Z we make two line WX and YZ.

So, There are two relation between the line WX and YZ.

Thus,  The probability to choose WX > YZ is;

Probability = Possible event / Total possibility

                 = 1/2

Therefore, The probability to choose WX > YZ is 1/2.

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ANSWER

cos(bº) = 4/5

EXPLANATION

When a triangle is dilated, the resulting triangle is similar to the original triangle. Therefore, the interior angles of the dilated triangle are congruent to the interior angles of the original triangle. This means that cos(bº) is the same for both triangles.

Using the relationship between these three trigonometric ratios:

We can find the cosine:

Given:

Required:

We need to find the turning point of y=h(x).

Explanation:

Replace x =-x in the function f(x) to find h(x).

Replace f(-x)=y in the equation.

Which is of the form

where a=1, h=-2, and k=8.

The point (h,k)=(-2,8) is the turning point.

Final answer:

The turning point of y=h(x) is (-2,8).

The function has a value of y = 4 when x =-3

The graph that completes the question is added as an attachment

From the graph, we can see that:

The graph of the function is a linear function

This is so because the function is a straight line

Note that:

Linear equations are equations that have constant average rates of change.

On the straight line, we can see that

The value of the function when x = -3 is 4

This means that

y = 4

Hence, the value of the function at x = -3 is y = 4

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Answer:

If I am not mistake I am pretty sure its graph B.

Step-by-step explanation:

The dilated function g(x) will be g(x) = x(x + 4)(x + 2). The zeroes of function g(x) = x(x + 4)(x + 2) will be x = 0, x = - 4, x = -2. The graph of the function g(x) is attached.

Scale factor is used to compare 2 quantities, indicating by how much one quantity is greater than the other. It is denoted by K. Mathematically-

K = a/b.

If a coordinate point (x, y) is dilated by a scale factor of [k], then the coordinate point after dilation will be - (kx, ky).

Given is the function -

f(x) = (x+4)(x+2)

[A] -

For dilating the given f(x) by [x] times -

g(x) = [tex]x[/tex] f(x)

g(x) = x(x + 4)(x + 2)

Therefore, the dilated function g(x) will be -

g(x) = x(x + 4)(x + 2)

[B] -

The graph of the function g(x) is attached with the answer.

[C] -

The points where the graph of g(x) touches or cuts the x - axis, will represent the zeroes of the function g(x) = x(x + 4)(x + 2). It can be seen that the points are -

x = 0

x = - 4

x = - 2

The zeroes of function g(x) = x(x + 4)(x + 2) will be x = 0, x = - 4, x = -2.

Therefore,  the dilated function g(x) will be g(x) = x(x + 4)(x + 2). The zeroes of function g(x) = x(x + 4)(x + 2) will be x = 0, x = - 4, x = -2. The graph of the function g(x) is attached.

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a. Data values are 13.4, 16.3, 14.2 , 15.4 , 14.2 ,17.5

b. ∑x =  91

c. n = 6

Adding all numbers in the data and then dividing by the number of values is called mean. Median is defined as the middle value when a data set is in such a way that it goes from least to the greatest value. Whereas the number that occurs most often in a data set is mode. Sample size is represented by "n". Whereas, symbol Σ denotes the summation.

For the given mean,

The data values are 3.4, 16.3, 14.2 , 15.4 , 14.2 ,17.5

Summation, ∑x = 3.4+ 16.3+ 14.2 + 15.4 + 14.2 +17.5

                           = 91

n is the number of data that is 6.

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Given,

The diagram of the circle with the vertex of the hexgon.

Required

The measure of arc VX, angle ZXV.

As known that,

The measure of the circle is 360 degree.

The measure of arc VX is,

The measure of angle ZXV is,

The measure of arc WZ is 180 degree.

Answer:

VX=120

ZXV=60

WZ

Step-by-step explanation: YOUR WELCOME PUTAS

Answer:

44 square centimetres.

Explanation:

The shape consists of two rectangles and one triangle with the following dimensions:

• A rectangle (Rectangle 1) with dimensions of 4cm by 2cm.

• A rectangle (Rectangle 2) with dimensions 6cm by 4cm.

• A triangle with base 6cm and height of 4cm.

Thus, the area of the figure made will be:

The area of the figure is 44 square centimetres.

If a perpendicular b and b parallel to c, then the value of x = 8

Here b and c are parallel lines

The parallel lines are two lines in the same plane that are at equal distance from each other and that do not intersect at any point

Then a is perpendicular to b

The perpendicular lines are the line that forms the angle of 90 degrees for both angles

Therefore the given angles are 90 degrees

9x+18 = 90

9x = 90-18

9x = 72

x = 72/9

x = 8

Hence, If a perpendicular b and b parallel to c, then the value of x = 8

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Given data:

The diagonals of rhombus d1 = 15 in and d2 = 20 in

The area of the rhombus,

Now, to find the perimeter of rhombus we first find the side of rhombus.

The diagonal of the rhombus is considered as diameter, so the radius will be

d1 = r1 = 7.5

d2 = r2 = 10

So, by using the pythagorean theorem we find the side of the rhombus

The perimeter of the rhombus is,

Thus, the area is 150 in. sq. and perimeter is 50 in.

Let B be the number of cups of boiling water that we should mix with I cups of ice to get 3 cups of 110°F water.

Therefore, we can set the following equation:

Subtracting B from the first equation we get:

Substituting the above equation in the second one we get:

Simplifying the above result we get:

Subtracting 96 to the above equation we get:

Dividing the above equation by 188 we get:

Substituting B=1.24 at I=3-B we get:

Answer:

Answer:

1.) y = -3/4x +2

2.) y = x - 4

3.) y = 2/3x - 4

4.) y = -1/2x + 5

5.) y = 8/3x +5

Step-by-step explanation:

1.)

Parallel means that the slopes will be the same.

So, m = -3/4

To find the equation, we must first use point-slope form.

[tex]y-y_{1} =m(x-x_{1} )[/tex]

y-(-1) = -3/4(x-4)

Now we clean this up and solve for y to get the answer in slope intercept form.

y+1= -3/4x + 3   =>    y = -3/4x +2

2.)

Perpendicular means that the slope is the negative reciprocal of the slope of the first line.

So, m = 1 as the negative reciprocal of -1 is +1.

Once again, we use point-slope form and the clean it up and solve for y to get the answer in slope-intercept form.

y - (-3) = 1(x-1)       =>   y + 3 = x-1    =>   y = x - 4

3.)

Similar to the previous one, but with slope m = 2/3 (negative reciprocal)

y - (-4) = 2/3 (x - 0)     =>   y + 4 = 2/3x     =>    y = 2/3x - 4

4.)

Similar to the previous one, but with slope m = -1/2 (negative reciprocal)

y - 4 = -1/2(x-2)    =>   y - 4 = -1/2x +1    =>   y = -1/2x + 5

5.)

Similar to the previous one, but with slope m = 8/3 (negative reciprocal)

y - (-3) = 8/3(x - (-3))   =>   y + 3 = 8/3x +8     => y = 8/3x +5

Answer:

Less than 200 miles, A is cheaper

At 200 miles, they are the same

Over 200 miles, B is less expensive

Step-by-step explanation:

Answer:

Explanation:

Given the rational expression

We can rewrite the fraction as:

We then simplify and apply the division law of indices to obtain:

Note: When you have the same base of an exponent and the terms are being divided, we simply subtract the power of the numerator from that of the denominator.

The equation must be x + y < 48

Graph

To get the antiderivative of the function, we will integrate F(x), as follows:

Now, to get the particular antiderivative, we evaluate the antiderivative for x = 1, and it must be equal to 11. This can be shown as:

Hence, the particular antiderivative is

itWe were given the following:

1.

There are 4 places in this number

2.

1 thousand + 7 hundred + 6 tens + 0 units

3.

We are rounding to the hundreds place

4.

Seven (7)

5.

To the right, we have the ''tens''

6.

Six(6). Yes, the digit is 5 or greater

7.

Digits that are 5 or greater than are approximated to the next digit

8.

Yes. From 7 to 8

9.

The tens place will be changed to 0

10.

The number of yards in a mile rounded to the nearest hundred is:

We have the following:

We can see in the figure that it up by two units and shift 5 units to the right.

Therefore, que the answer is thr first option