Please show and explain this please

Let's assume that we have a circle of radius r. Its circumference or perimeter C and its surface area A are given by the following formulas:

We must find the radius or diameter of a circle where C and A are equal. Then we can construct an equation for r by equalizing A and C:

We can divide both sides by π and r (it is important to note that we can divide by r because we know that r is not 0). Then we get:

So the radius is 2 (of any unit). Then the answer is the first option.

Hello!

For a line with slope '0':

⇒ the equation is 'y = y-coordinate of point that the line passes through'

Since the line passes through (-1, -4) and has the slope of '0'

⇒ y = -4

Hope that helps!

Lexi opened her account with less money and accrues interest at a greater rate.

What is meant by interest?

In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principle amount (the amount borrowed). The charge that the borrower may be required to pay the lender or another entity is not the same as interest. Interest also differs from dividends, which are distributed by businesses to their shareholders from their profits or reserves, but not at a set rate but rather on a pro rata basis as a portion of the rewards received by risk-takers when revenue generated exceeds total expenditures. The amount of interest paid or received during a specific time period divided by the total amount borrowed or lent is the rate of interest.

The correct answer is option (E):

Lexi opened her account with less money and accrues interest at a greater rate.

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Answer: Radius = 5.33

Diameter = 10.66

Area = 89.3

Step-by-step explanation:

Circumference = 2πr

33.5 = 2πr

r = 33.5 / 2π

Diameter = 2r

Area = r²π

Area = 5.33²π

Given:

To find:

The height from the ground to the base of the window.

Explanation:

Since the triangles XWY and XVZ are similar by AA similarity.

So we can write,

Answer:

- 200,5

Some words for 20 symbols

Based on the calculations, the value of function g(f(x)) is equal to: g(f(x)) = x + 10.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable (x-value) to an output variable (y-value).

In this exercise, you're required to determine the value of g(f(x)) and we are given the following functions:

f(x) = (x + 3)²        ........function 1.

g(x) = √x + 7        ........function 2.

Next, we would substitute function 1 into function 2 as follows:

g(f(x)) = √((x + 3)²) + 7

g(f(x)) = (x + 3) + 7

g(f(x)) = x + 3 + 7

g(f(x)) = x + 10

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Hello! First, let's analyze the information contained in the exercise:

So, according to this, we also can say that:

Now, let's draw it in a line for better understanding:

Now, let's analyze the line and select the correspondent answer:

On a number line, p/q is to the right of r/s.

Adding the two equations will be adding similar terms to both equations. That is:

8x + (-8x) = 0

-10y + (-6y) = -16y

20 + (-4) = 16

Therefore, adding the two equations will look like -16y = 16. (Option 3)

Answer:

Explanation:

Statement: Triangle QRT and Triangle STR are Isosceles Triangles.

Angles QRT is congruent to Angle STR.

Reason: Converse of Alternate Interior Angles

Statement: RQ=RT, TR=TS

Reason: Definition of an Isosceles Triangle

Statement: TR = RT

Reason: Reflexive Property

Statement: RQ=TS

Reason: Transitive Property

Statement: RQ||TS

Reason: Opposite sides are congruent and parallel.

Statement: QRST is a parallelogram.

Reason:

The equation that represents the total average decrease in the stock after 4 weeks is 4|−12| = 48 dollars.

When the value of a stock decreases, the number is a negative number. A negative number is a number that is less than zero. A negative number would have a negative sign in front of it. Thus, a $12 stock decrease would be written as -12.

The total stock decrease in 4 weeks can be determined by multiplying $-12 by 4 weeks. Multiplication is the operation that is used to determine the product of two or more numbers.

Total stock decrease = decrease per week x number of weeks

-12 x 4 = -48 or |-48| dollars

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the expression is

y = 2cos x

when x = 0 degrees

y = 2 x cos0

y = 2 x 1

y = 2

so it is

Answer:

  43%

Step-by-step explanation:

You want to know the percentage of applicants having a rating between 200 and 275, given that applicants have ratings normally distributed with a mean of 200 and a standard deviation of 50.

The given percentage can be found using a spreadsheet, suitable calculator, or table of values of the Normal probability function. The attached calculator display shows the percentage to be ...

  0.433 × 100% = 43.3%

About 43% of applicants will have a rating between 200 and 275.

We are given an equation that represents the path of the longest shot put by the women's track team as:

Where x represents the horizontal distance from the start and h(x) is the height of the shot put above the ground.

Solution:

(a) The vertex of the model:

Method 1: We can plot the model on a graph and identify the vertex from the graph. The vertex is the lowest/highest point on the curve.

The graph is shown below:

From the graph, we can see that the vertex of the model is : (31.765, 22.953)

Method 2: The vertex of the model can also be calculated using the formula:

First, we find the x-coordinate using the formula:

Substituting, we have:

The y-coordinate of the vertex can be obtained by substituting the x-coordinate into the model. So, we have the y-coordinate to be:

Hence, the vertex is : (31.765, 22.953)

(b) The maximum height

The horizontal distance of the maximum height of the shot put from the starting point is :

From the plot, the starting point is -4.98

The maximum height of the shot put is 22.953 feet, 36.745 feet away from the starting point.

(c) The vertical intercept

The vertical intercept is the point where the curve cuts the y-axis.

From the graph, the point is (0, 5.8).

At this point where the horizontal distance is 4.98 feet away from the starting point, the shot put is 5.8 feet above the ground.

(d) The distance from the starting point to when the shot-put stikes the ground is:

From the plot, the intercepts on the x-axis are (-4.98, 0) and (68.509, 0).

Hence, the distance is:

The expression (28 + 70) as a multiple of a sum of whole numbers with no common factor is given as

7x(4+10). This is further explained below.

Generally, An express is a finite combination of symbols that have been formed according to principles that rely on the context in which it is used. In mathematics, an expression is also known as a mathematical expression.

In conclusion, When expressed as a multiple of a total of whole numbers that do not have a common component, the equation (28 + 70) is written as 7 times (4 + 10).

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The dimensions of your mowing plot if x = 13 meters is;

Length = 31 meters

Width = 36 meters

We are told that Your plot has a length which is five more than two times x and the width is three less than three times x

This means that, the length given as words is "5 more than 2 times x" and the width given as words is "3 times x minus 3"

The expression for length would be  2x + 5

The expression for width would be 3x - 3

Now, if x = 13 meters, then we see that;

Length = 2(13) + 5 = 31 meters

Width = 3(13) - 3 = 36 meters

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Answer: x < -1

Step-by-step explanation:

So you are starting with x-4<-5

Cancel the -4 on the left side by adding 4 to both sides:

x-4<-5

+4   +4

So you end up with x < -1  which would be your answer.

Hope this helped :)

Answer:

4/9

Step-by-step explanation:

Any integer that cannot be divided into twos is considered an odd number. Five computers, for instance, cannot be arranged in pairs only. 5 is therefore an odd number.

The next three numbers in the pattern is 16,21,26. The pattern is odd.

Any integer that cannot be divided into twos is considered an odd number. Five computers, for instance, cannot be arranged in pairs only. 5 is therefore an odd number.

An even number is one that can be divided by two and leaves residue of zero. The even numbers include 2, 4, 6, 8, 10, and so on. Let's say, for instance, that you have ten chocolates. There are two groups of these chocolates that each include five chocolates. Ten is therefore an even number.

An even number is produced by adding two even numbers. In this case, 12 + 8 equals 20.

Odd numbers are created by adding odd numbers to even numbers. For example, 6 + 7 equals 13.

The outcome of adding two odd numbers is an even number. For an instance, 15 + 11 = 26.

Now for the above question,

The next three numbers: 16, 21, 26.

Number pattern is odd, because 5 is odd number.

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Step-by-step explanation:

option B is correct answer

Thus, t has a greater value than s for the co-ordinates (s, -1) and (t, 3).

How to analyze points of an axis for a two dimensional entity?
We can use the fact that both points on the x-axis to compare the values of s and t for the provided parallelogram. As a result, each point that is closest to the x coordinate reflects a higher value than its equivalent counterparts.

Given, the co-ordinates of the parallelogram are: (-2, 3), (s, -1), (0, -1),
(t, 3).
Also, the co-ordinates of the parallelogram are also shown in the figure below.
To compare for the values of s and t for the given parallelogram,
we can analyze that both s and t represent points on the x-axis, therefore any point that stands rightmost with the x co-ordinate represents a higher value than the corresponding counterparts.
Therefore, t has a greater value than s for the co-ordinates (s, -1) and (t, 3), since t is on the right side from s.

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For a quadratic [tex]ax^2+bx+c[/tex], the sign of its determinant, given by

[tex]\Delta = b^2 - 4ac[/tex]

"determines" the nature of its roots. In particular, if [tex]\Delta<0[/tex], then the quadratic has two distinct non-real roots.

Now, we have

[tex]3z^2 - 9z = n-3 \implies 3z^2 - 9z - (n-3) = 0[/tex]

with determinant

[tex]\Delta = (-9)^2 - 4\cdot3(n-3) = 117 - 12n[/tex]

Solve for [tex]n[/tex] such that [tex]\Delta<0[/tex].

[tex]\Delta = 117 - 12n < 0 \implies 12n > 117 \implies n > \dfrac{117}{12} \\\\ ~~~~ \implies \boxed{n > \dfrac{39}4}[/tex].

Carmella has 9 albums and 4410 cards.

The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

Due to that,

There are 315 cards in each box.

14, the number of boxes.

(b) Total number of cards is the sum of the boxes plus the number of cards in each box.

= 14 × 315

= 4410

(a) Carmella purchased a six-album set of 500 cards since she thought she had 3,000 cards. Six albums are not enough because she calculated the quantity of cards incorrectly. There are 4410 cards in total, but she thought there were only 3000.

(c). Total number of albums required = [tex]\dfrac{Total number of cards}{Number of card 1 album can hold}[/tex]

                                                             = [tex]\frac{4410}{500}[/tex]

                                                             = 8.82 ≅9

Carmella have 4410 cards, 9 albums.

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The solution for the algebraic expression is [tex]3\frac{3}{8}[/tex].

The problem we are dealing with is related to the PEMDAS order of operations, where P stand for parentheses, E  stands for Exponents, M  stands for Multiplying, D stands for Divide, A stands for Add, and last S  stands for Subtract. It's the order we follow to solve a rational algebraic expression.

For the given expression  3/4.9/2, we start solving it from the direction left to right, according to PEMDAS  we multiply first  followed by dividing

=3x9/4 x2

=27/4/2

=27/8

simplifying the improper fraction to a mixed number

= [tex]3\frac{3}{8}[/tex]

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The perimeter of the square has a value of 260 units

From the question, the given parameters are

Shape = Square

Side lengths = 9x + 11 and 13x - 1

The side lengths of a square are congruent

This means that

9x + 11 = 13x - 1

Collect the like terms in the equation

So, we have

13x - 9x = 11 + 1

Evaluate the like terms

2x = 12

Divide both sides by 2

x = 6

The perimeter of the square is then calculated as

P = 4 * (9x + 11)

Where x = 6

So, we have

P = 4 * (9 x 6 + 11)

Evaluate

P = 260

Hence, the perimeter is 260 units

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The diagram which best represents the hiking track of the hiker is attached below.

Speed = Distance / Time

As time increases, speed is constant, i.e., 214 miles per hour

So, the distance increases with an increase in time.

Speed = Distance/Time

Let, Distance = D and Time = T,

214 = D / T

D = 214T

Let, D = Y coordinate, Time = X coordinate

y = 214 x→→Equation of the line passing through the origin and slope 214.

For the given situation, the equation is a linear equation and the equation will be on the y-axis.

Hence, a diagram that represents this information is:

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Answer: 30, 6900, 6900

Step-by-step explanation:

The break-even point is when cost equals revenue.

[tex]230x=200x+900\\\\30x=900\\\\x=30[/tex]

The cost and revenue at x=30 are both $6900.

Given

Answer

The graph is given by y = -3/2|x|

The graph of |y| = x/2

The graph of y = |x|

The graph of -1/2 |y| = x