Question 1 of 10 - What is the value of the expression below when d= 5 and m = -2? d? + | dm|

Answer: I believe it is representing the angular position of a vector

In short, it is a symbol to represent a measured angle.

Check to see whether the slope of both lines are the same (option A)

When two system of equations do not intersect, the lines are said to be parallel lines.

This means there is no solution.

To determine if the lines are trully parallel, the slope of each equation need to be determined.

For parallel lines, the slope will be the same

The best action to help her find out whether the two equations are inded parallel, Check to see whether the slope of both lines are the same (option A)

We will have the following:

2)

A(0, 7) : <7, -3>

B(1, 3) : <7, -3>

C(-1, -4) : <7, -3>

D(-5, 1) : <7, -3>

3)

From the graph we will have the following:

a.

b.

***Explanation***

For point 2, we will simply apply the vector to the corresponding coordinates, that is:

We have the coordinates:

and the vector:

So, in order to determine the final image we will have to follow the transformation rule:

*For point 3, we will simply count the number of units the image has moved to the left or rigth and that will be our transformation rule for the x-axis, and the number of units the image has moved up or down and that will be our transformation rule for the y-axis.

In the case of the problem, the images moved 7 units to the rigth (+7) and then moved 5 units up (+5), so the transformation rule in coordinate notation is given by:

And in order to write it in vector notation, we simply write the units the images move:

SOLUTION

From the question, the athlete eats 45 g of protein in a day. This means that in 23 days the athlete will eat

Hence the answer is 1 035 g of protein, or 1.035 kg of protein.

Note that: To change grams to kilograms, we divide by 100.

Suppose that an item regularly costs $100.00 and is discounted 22%. If it is then marked up 22%, is the resulting price $100.00? If not, what is it? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.​

1)

we have

100%-22%=78%=78/100=0.78

so

If is discounted 22%

the new price is 100,000*0.78=$78,000

2) If it is then marked up 22%

the new price is

100%+22%=122%=122/100=1.22

78,000*1.22=$95,160

therefore

The new price is not $100,000

the new price is $95,160

The hole appears in the rational function when the numerator and the denominator have the same zeroes

Since the rational function is

Factorize the denominator

The rational function h(x) is

Since (x + 7) is in both numerator and denominator

Then there is a hole at x + 7 = 0

Let us find the value of x

The whole is at x = -7

Then simplify the fraction to find the value of y at x = -7

Cancel the bracket (x+7) up by the same bracket down

Substitute x by -7

The hole is at (-7, -1/14)

1. replace g(x) with y:

2.Replace every x with a y and replace every y with an x

3. Solve for y:

4. Replace y with g−1(x) g− 1 ( x ):

The first term is a=10.

The number of terms is n=44.

The common difference is d=4.

The formula for the sum of n terms is,

Determine the sum of first 44 terms of the series.

So answer is 4224.

Answer:

The function is given below as

Using the interval below

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).

Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

Using a graphing tool, we will have the relative maximum and relative minimum to be

Hence,

The relative maximum is at

The relative minimum is at

x = number of 2 bedrooms units

y= number of 3 bedroom units

194 condominiums

x+y = 194 (a)

the total number of rooms in the entire complex is 494

2x + 3y = 494 (b)

We have the system of equations:

x+y = 194 (a)

2x + 3y = 494 (b)

Solve (a) for x

x = 194-y

Replace x on (b) and solve for y

2 (194-y ) + 3 y = 494

388 - 2y +3 y = 494

-2y+3y = 494-388

y= 106

Replace y on (a) and solve for x

x + 106 = 194

x = 194-106

x= 88

2-bedroom units = 88

3- bedrooms units = 106

Statement Problem: Solve for the missing sides of the triangle;

Solution:

The sum of angles in a triangle is 180degrees. Thus,

Since measure angle A and measure angle B are equal. Thus, the triangle is isosceles and the two sides are equal.

We would apply sine rule to find the missing side a.

Thus,

CORRECT ANSWERS:

Step 1:

Write the two systems of equations

4x - 3y = 3

5x - 4y = 3

Step 2:

Use the elimination method to eliminate y.

Final answer

x = 3

The values of the given polynomial are:-

f(0) = 12

f(2) = 28

f(-2) = 52

Given polynomial:-

[tex]f(x)=-x^3+7x^2-2x+12[/tex]

We have to find the values of f(0), f(2) and f(-2).

Putting x = 0 in f(x), we get,

[tex]f(0)=-(0)^3+7(0)^2-2(0)+12[/tex]

f(0) = 0 +0 - 0 + 12 = 12

Hence, the value of f(0) is 12.

Putting x = 2 in f(x), we get,

[tex]f(2)=-(2)^3+7(2)^2-2(2)+12[/tex]

f(2) = -8 + 28 - 4 + 12 = 28

Hence, the value of f(2) is 28.

Putting x = -2 in f(x), we get,

[tex]f(-2)=-(-2)^3+7(-2)^2-2(-2)+12[/tex]

f(-2) = 8 +28 + 4 +12 = 52

Hence, the value of f(-2) is 52.

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Answer: 7/12

Step-by-step explanation:

3/5=0.6

5/7=0.71428571428

9/15=0.6

4/6=0.66666

7/12=0.583333

Answer: 7/12

Step-by-step explanation:

I have attached my work.

Supplementary angles are two angles whose sum is exactly 180, therefore:

162 + x = 180

Solving for x:

subtract 162 from both sides:

x = 180 - 162

x = 18

Answer

The graph of the function f(x) = -(x - 3)² - 2, is presented below

Explanation

We are told to graph a given function

f(x) = -(x - 3)² - 2

The first step into making this easy is to open the bracket.

f(x) = - (x² - 6x + 9) - 2

f(x) = -x² + 6x - 9 - 2

f(x) = -x² + 6x - 11

The next step is then to insert different values of x into the function and obtain the corresponding value of the function. This set of ordered pairs arethen plotted to form the graph.

The graph is then plotted and presented under 'Answers' above.

Hope this Helps!!!

Solution:

Given the function;

The graph of the function is;

ANSWER:

Answer:

a) 3 sets of opposite faces

b) The given figure is called a rectangular prism because its bases( the bottom face and the top face) are both rectangles.

Explanation:

a) Looking at the given rectangular prism and counting the faces, we can see that there are 6 faces in all. Out of the 6 faces of the rectangular prism, we can see that there are 3 pairs of opposite faces.

b) A prism is any 3-dimensional shape that has two identical shapes called bases facing each other.

If the two identical shapes facing each other are rectangles, then the prism is termed a rectangular prism.

Therefore, we can say that the given figure is called a rectangular prism because its bases ( the bottom face and the top face) are both rectangles.

The equation is given as,

Transpose the term,

Taking logarithm on both sides,

Consider the formula,

Applying the formula,

Thus, the solution of the given exponential equation is approximately equal to,

Solution

As seen from the table

For each values of the table

We define the variation from K to J

When J = 2, K = -12

Therefore, the formula connecting them will be

Option B

we get that:

Okay, here we have this:

Considering that a real number is said to be irrational if it cannot be expressed as a quotient of whole numbers. ✓2 is an irrational number, and as all the irrational number are real numbers ✓2 is also a real number.

The linear function is given by 5200+350x = 750x

What is linear function?

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.

Amount spent to obtain merchandise = $5,200

Cost of general expenses = $350

Earnings from sales per week = $750

Now,

Let 'x' be the number of weeks taken to make profit

thus,

Total cost involved = $5,200 + ( $350 × x )

Total profit from sales = $750 × x

Now, the number of weeks after that the cost and earning will be equal, will be given by

5200+350x = 750x

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In this case you need to click the 7 which is in the hundred millions place

From the question given, we have the following data;

Height of the tree = 80 feet

Angle of elevation to the top of the tree = 68 degrees

Distance from Corey to the tree = unknown

We shall now call the unknown variable x.

With that we shall have the following diagram;

We now have a diagram detailing the triangle and the dimensions showing Corey, the tree and the eagle at the tree top.

To get a better look, Corey moves several steps away from the tree and now determines his new angle of elevation to be 41 degrees.

This can now be illustrated as follows;

From triangle EDC, we shall calculate the distance from point C to point D using trigonometric ratios. The reference angle is at point C, which means the opposite side is side ED. The adjacent side is side CD (labeled x). Using trig ratios we have;

We cross multiply and we now have;

Looking at triangle EDB;

The reference angle is 41 which makes the opposite side ED and the adjacent side BD. To calculate the distance BD, we'll have;

Take note that the distance Corey moved before he had a new angle of elevation is line segment CD which is indicated as y. Note also that

The distance Corey stepped back is indicated as y (line segment BC).

ANSWER:

Corey stepped back 59.71 feet

Given the Definite Integral:

You can identify that the interval is:

By definition, if the function is continuous and positive in a closed interval, then:

In this case, you can identify that the function is:

You can graph it using a graphic tool:

Since the closed interval goes from 0 to 1, you need to find this area:

You can identify that you have to find the area of a quarter circle. In order to do it, you can use this formula:

Where "r" is the radius of the circle.

In this case, you can identify that:

Therefore, you get:

Then:

Hence, the answer is: Option D.

Answer

Option D is correct.

x = ±i√(5) OR ±i√(3)

Explanation

The question wants us to solve

x⁴ + 8x² + 15 = 0

To solve this, we first say that

Let x² = y

So that,

x⁴ = (x²)² = y²

So, the equation becomes

y² + 8y + 15 = 0

This is a simple quadratic equation, we then solve this

y² + 8y + 15 = 0

y² + 3y + 5y + 15 = 0

y (y + 3) + 5 (y + 3) = 0

(y + 5) (y + 3) = 0

y + 5 = 0 OR y + 3 = 0

y = -5 OR y = -3

But, Recall that x² = y

If y = -5

x² = y = -5

x² = -5

x = √(-5)

If y = -3

x² = y = -3

x² = -3

x = √(-3)

So,

x = √(-5) OR x = √(-3)

Note that

√(-1) = i

√(-5) = √(-1) × √(5)

= i√5

And

√(-3) = √(-1) × √(3)

= i√3

Hence

x = ±i√(5) OR ±i√(3)

Hope this Helps!!!

Given:

it is given that the current population of a threatened animal species is 1.3 ​million, but it is declining with a​ half-life of 25 years.

Find:

we have to find that how many animals will be left in 35 years and in 80 years.

Explanation:

we know 1.3million = 1300000

The decay law is

where t is in years and p(t) is the population at time t.

Now, the number of animals left in 35 years is

Therefore, 492608 animals will be left in 30 years.

Now, the number of elements left in 80 years is

Let:

x = number of 40-pound boxes

y = number of 65-pound boxes

The forklift can carry up to either 45 boxes

This means:

The forklift can carry up a weight of 2,400 pounds:

This means:

Answer:

100%

Step-by-step explanation:

All of the numbers are factors of 24. So, picking a factor of 24 is guaranteed, so the probability is 1.

This is equal to 100%.