Which of the following functions has an amplitude of 3 and a phase shift of pi over 2 question mark

ANSWER:

2

STEP-BY-STEP EXPLANATION:

The average rate of change is given by the following formula:

Since it is between 0 and 2 seconds, the values of a and b will be these respectively, the evaluated values can be determined by the graph, therefore:

The average rate of change is equal to 2 feet per second

We have:

Song 1 = 3 1/10 minutes

Song 2 = 4 2/3 minutes

Minutes of memory of two songs:

Answer:

For the given equation:

Answer:

120% of 54 =

120% × 54 =

120/100 × 54 =

(120 ÷ 100) × 54 =

120 × 54 ÷ 100 =

6,480 ÷ 100 =

64.8

Percentage of 120% of 54

120% of 54 = 64.8

and to prove that we got the right answer do what we did above in reverse below

64.8 ÷ 54 =

1.2 =

1.2 × 100/100 =

(1.2 × 100)/100 =

120/100 =

120%

Step-by-step explanation:

In order to find the scale factor, we just need to divide one side of the right figure by the corresponding side in the left figure.

So, taking the sides SU and PR, we have:

So the scale factor is 1.5.

ANSWER

There are 8 kittens

EXPLANATION

If the sum of the number of adult cats, middle aged cats and kittens is 19:

The most appropriate choice for equation of line in slope intercept form will be given by-

[tex]y = -\frac{1}{2}x - 4[/tex]  is the required equation of line

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

The given equation of line is y = 2x-5

Slope of this line = 2

Slope of the line perpendicular to this line = [tex]-\frac{1}{2}[/tex]

The line passes through (2 , -5)

Equation of the required line = [tex]y - (-5) = \frac{1}{2}(x - 2)[/tex]

                                                    [tex]y +5=-\frac{1}{2}x+1\\y = -\frac{1}{2}x +1 -5\\y = -\frac{1}{2}x -4[/tex]

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The opposite of a number is the same as multiplying it by -1. any negative number, it's opposite is that same number positive. And any positive number is that same number negative.

Our number W is 5. Then, the opposite number is - 5.

To draw a point at - 5 from 5, we just need to move the difference between them to the left. The difference between 5 and -5 is given by

Then, to draw point V we need to move 10 units to the left of Point W.

The standard form of the monomial expression is -1x¹⁰

Monomial expression:

A monomial is an algebraic expression with a single term but can have multiple variables and a higher degree too.

Given,

Here we have the expression

(-2x³)².(-1/4 x⁴)

Now, we have to convert the expression into standard form.

To convert the expression into standard monomial form,

First we have to expand the terms, then we get,

=> (-2²x⁶).(-1/4x⁴)

Then we have to divide the variables and constants separately.

=> (4 x -1/4).(x⁶⁺⁴)

=> -1 . x¹⁰

=> -1x¹⁰

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Given the sentence, the sum of 5 times a number and 4 is 3.

The information would translate to;

ANSWER:

The Probability of the point being in the smaller shaded square is 0.79.

Therefore,

|Ω| = 6² = 36

< br / > |A| = 3.14.3² = 278.26

Then we get,

< br / > P |A| = 28.26/36 ≈ 0.79

∴ the probability that the point is in the smaller shaded square is 0.79

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Solution

For this case we can find the angle:

m < ECB = 30º

And we can find the angle CEB and we got:

m < CEB = 180 -30 - 45 = 105

And then the angle DAE would be:

m < DAE = 30º

Explanation

We are given the following function:

We are required to graph the function.

Using a graphing calculator, we have:

Hence, the answer is (-2, 4).

The last option is correct.

Given that the concentration of bacteria in the refrigerated food is

and the temperature of the food is given by

Therefore, N(T(t) is given by

Then,

Answer: The composition is

It can be interpreted as the concentration of bacteria in the food when outside of the refrigerator with time.

The answer is Option 2

Its not a function

The domain and range of the function is shown at the various endpoints of the graph.

At every point you can always identify a value for x (the input value) and also a corresponding value for y (the output value).

Please note the endpoints marked in blue.

These are the endpoints, and for every point, you will have (x, y).

However, note that at the endpoints, the values of y remains the same.

For every relation to be a function, there must be exactly one corresponding y value for every x value. As shown by the blue markings on the graph, the x values on the horizontal axis both have the same y value (which is zero).

Hence, the relationship shown by the graph is not a function

From the data set given, 3/4 is the length of the shortest feather of fox sparrow.

Given,

The image is attached with this.

The length of fox sparrow feathers studied by Michael.

We have to find the shortest feather in the data set.

Here,

3/4 inches is the shortest feather and only 1 sparrow has the shortest feather.

2 3/4 inches is the longest feather and 3 sparrows have the longest feather.

That is,

From the data set given, 3/4 is the length of the shortest feather of fox sparrow.

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Step 1

State the volume of a hemisphere.

Where;

Step 2

Find the volume of the hemisphere

Step 3

Find the total weight of the liquid in the tank

Hence the total weight of the liquid in the tank to the nearest full pound = 19478lb

Answer:

133/900

Explanation:

To convert the decimal 0.147777 to a fraction, we first identify the decimal part, so we have 147 as a decimal part.

Then, we subtract 14 because that part is not repeating. So:

147 - 14 = 133

Now, we need to divide by 9 to get the repeating part, but the repeating part starts at the third decimal place, so we will divide by 900 instead of 9.

Therefore, 0.147777... as a decimal is:

So, the answer is 133/900

You have the following expression:

2x +4x = 3x + 3x

in order to solve for x, proceed as follow:

2x +4x = 3x + 3x simplify like terms both sides

6x = 6x

Due to the previous result is the trivial solution, it means that the equation has infinite solutions.

20x - 4 = 50x + 2

Solve for x

20x - 50x =

Answer:

Step-by-step explanation:

none of the answers are correct

Given:

Simplify:

Apply the properties of fractions:

Simplify:

Eliminate common terms:

Answer:

An identity function has one output value for each input value.

G is an identity function.

To find its equation apply the slope-intercept form:

y=mx +b

Where:

m= slope ( rise / run)

b= y-intercept ( where the function crosses the y axis)

By looking at the graph we can see that it crosses (0,0) so, b= 0.

And for every unit to right along the x-axis, it goes up by 1 unit along the y axis.

So, m= 1/1 = 1

Equation:

y = x

ANSWER:

a)

b)

Dimension A = 3 x 2

Dimension B = 2 x 1

c)

Cost of credits

Sean $1820

Kevin $2524

Bill $1614

STEP-BY-STEP EXPLANATION:

With the help of the statement, we create the matrices A and B:

Now, we calculate the product just like this:

Answer:

65 1/2 inches of ribbon is left, my exact work is shown on a piece of paper below if you need it.

Step-by-step explanation:

1 foot = 12 inches

6 x 12 = 72 inches

72 - (3 2/3 + 2 5/6) = ?

Given that dimensions of the piece of cardboard are:

Where "l" is the length and "w" is the width, you can determine that it has the shape of a rectangle.

You know that equal-sized squares will be cut from each of the four corners and then the sides will be folded up. Then, you can make the following drawing:

By definition, the volume of a rectangle is:

In this case, you can set up that:

Therefore, you can write this equation:

Expand it:

Now you need to derivate it using the Power Derivative Rule:

Then:

Make the equation equal to zero and sove for "x":

Use the Quadratic Formula:

Substituting:

You get:

Therefore, you can make the following Sign Chart:

Then, you can substitute these:

Into the factorize form of the derivated function:

Given:

Measurements of hole are 48ft 39ft and and 9ft

Required:

Volume in cubic yd

total number of trip

total cost of trip

Explanation:

First we need to convert given measurements from ft to yd

A)

B)

11 cubic yd in 1 trip

then

624 cubic yd in x trip

C)

cost for 1 trip is $1175

then

cost for 57 trip is y

Final answer:

Volume in cubic yd is 624

total number of trips is 57

total cost of trip $66975

we have the following:

solving for x:

The answer is x = -3