Find the area of the shaded region. webassign plot
A = 22 / 7 (7)². A = 22 * 7 =154. The area of the triangle is equal to 154 cm². Area of the shaded region = Area of the large geometrical shape – area of the small geometrical

Answer:

0.115

Step-by-step explanation:

Answer: 180

Step-by-step explanation:

Answer: Using the absolute value function, the value that is the opposite of being short $3.96 is: x + 3.96.

Step-by-step explanation:

The absolute function is defined by:

|x| = x, x ≥ 0.

|x| = -x, x < 0.

It measures the distance of a point x to the origin, that is, |2| = |-2| = 2.

For this problem, the number is of $3.96, that is:

|x| = 3.96.

Hence:

Short of $3.96 means that x = -3.96.

The opposite is the other solution, of x = 3.96.

Stocks will be worth $1180 in 2024 due to a 10% percent annual decline in value.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Steve bought $2,000 worth of stocks in 2019. The value of the stocks has been decreasing by 10 percent each year

thus the value of stocks becomes 90 percent or 0.9 times each year

After 5 years Value of stocks = 2000 * (0.9)⁵

After 5 years Value of stocks = 1180.98

Therefore the value of stocks in 2024 will be $1180 as stock decreases by 10% every year.

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To write a given function in the factored form from a given graph is expressed as f (x) = A ( x - t )( x - q ).

As given in the question,

Let us consider a equation representing the graph of a function :

2x² - 4x - 30

Simplify this into factored form

= 2 ( x² - 2x - 15 )

= 2 ( x² - 5x + 3x -15 )

= 2 ( x ( x - 5 ) + 3 ( x - 5 ) )

= 2 ( x - 5 ) ( x + 3 )

In standard form if the function is f(x) = Ax² + Bx + C

Then its factored form is  f (x) = A ( x - t )( x - q ).

Therefore, the function can be written in factored form from a graph in the following way :  f (x) = A ( x - t )( x - q ).

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There are 136 solutions to the equation:

X1 + X2 + X3 = 15

where X1, X2, and X3 are non-negative integers. I'm not gonna list them all, but, it starts off with:

01. 0, 0, 15.

02. 0, 1, 14.

03. 0, 2, 13.

134.14, 0, 1.

135.14, 1, 0.

136.15, 0, 0.

The constraint of:

1<X1<6

implies X1 either equals 1, or is greater than 1.

So, there are 65 solutions where X1 equals 1, or is greater than 1, and less than 6!

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plot the frequency distribution with frequency 11, 8, 7, 5, 2, 2,2 and box numbers on X axis

It will show a graph which is Positively skewed.

Answer:

4.2 has a greater value

since 4.2 is greater than 3.6

Step-by-step explanation:

Since neither numbers are negative, the absolute value around the numbers do not change the values. So nothing changes and we know 4.2 is greater than 3.6

The angle, in degrees, of the compass direction of a line connecting will be 53.9 degrees

Your entire distance from the beginning location is your hypotenuse.

We employ the hypotenuse formula because...

The Pythagoras theorem can be used to determine the length of the hypotenuse in a right triangle. According to the theory, the hypotenuse's square is equal to the sum of its two other sides' squares.

R2=A2+B2

R2=17.52+242R2

=306.25+576

R=√882.25

=29.7 meters

However, the assertion that R=A + B is incorrect (the assertion on the figure is FALSE!).

Your direction is northwest.

Now use trigonometry:

sinθ=B/R

sinθ=24/29.70

=0.808

θ=53.9 degrees. This is your angle.

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To evaluate an algebraic expression is to determine its value when a certain number is used in place of the variable. Therefore the correct option is 25/49

To evaluate the expression of 5/7 to the power of 2 we will-

[tex]5/7² = 5/7 X 5/7 = 25/49[/tex]

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By applying permutation theory, it can be concluded that there are 6840 different orders of 1st, 2nd, and 3rd place winners

Permutation is rearranging a collection of objects in a different order from the original order. In permutations, order matters.

If an object can be selected more than once then the number of permutations is:

P = [tex]n^{r}[/tex]

Otherwise, If an object can only be selected once, then the number of permutations is:

P = n! / (n-r)!

where n is the number of total objects and r is the number of the selected objects to arrange. Hence. n cannot be less than r.

We are given information that there are 20 runners competing in a marathon.

We are asked to find how many different orders could the 1st, 2nd, and 3rd place medals are received. It means that the order matters and they can only be selected once, so we use the second permutation formula, where n = 20 and r = 3.

P = n! / (n-r)!

  = 20! / (20-3)!

  = 20! / 17!

  = 10 * 19 * 18

  = 6840

Thus, there are 6840 different orders of 1st, 2nd, and 3rd place winners.

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It is a good idea to scale the number line when making a dot plot when the range of data values is large.

Scaling the number line allows you to fit all the data points on the plot, making it easier to read and interpret. When the range of data values is small, you do not need to scale the number line, but if the range is large, you may need to compress or expand the scale of the number line to fit all the data points.

Additionally, when dealing with large numbers or decimal numbers, scaling the number line can make the dot plot more readable and easy to compare. It can also be useful when you want to compare different data sets that have different ranges, you can use the same scale on both dot plots, which makes it easier to compare the data.

Finally, you may also need to scale the number line when the data contains outliers, this will help to see the distribution of the data better.

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The perimeter of its varignon parallelogram is 30 units.

Diagonal of varignon parallelogram cross at right angle i.e., 90°.

This makes the parallelogram a rhombus.

now, all sides of the rhombus are equal.

When you cut a trapezium into three pieces it is made up of a central rectangle of height 4 units and 2 congruent right-angled triangles whose hypotenuse is 13 units and side is 5 units.

Using Pythagoras theorem,

Another side = √13∧2-5∧2

=√144

=12

Hence the height of the triangle= 12 units.

Now, consider one of the congruent triangles

Half part of the base is included in the other diagonal but the other half is not.

Since the base is 5 so other diagonal is 2.5.

But there are two right triangles so 2.5*2=5 units from the base are not in the other diagonal.

So the diagonal is 14-5=9 units

Hence the diagonal of the rhombus is 12,9 units

and half of the diagonal is 6 and 4.4 respectively

Again, using Pythagoras theorem,

side of the rhombus is equal to 7.5

Hence perimeter = 4x7.5

perimeter = 30

Therefore, The perimeter of its varignon parallelogram is 30 units.

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The percentage of students are boys = 51.5% and The percentage of students always wear glasses = 21.3%

What is percentage ?

percentage can be defined as the product of ratio of given value , total value and hundred.

Given ,

A principal of a school with 484 students collected information about how many of the students wear glasses complete the two way frequency table

So, the number of boys always wears glasses are 40

the number of boys sometimes wears glasses are 48

the number of boys never wear glasses are 161 .

Total number of boys = 249

the number of girls always wears glasses are 36

the number of girls sometimes wears glasses are 55

the number of girls never wear glasses are 144.

Total number of girls = 235

Total number of students always wears glasses = 76

Total number of students sometimes wears glasses = 103

Total number of students never wear glasses = 305 .

Total number of students = 484 .

The percentage of students are boys = 51.5%

The percentage of students always wear glasses = 21.3%

Hence, The percentage of students are boys = 51.5% and The percentage of students always wear glasses = 21.3%

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If in a survey of women in a certain country (ages 20 - 29), the mean height was 63.2 inches with a standard deviation of 2.67 inches.

a. The height that represents the 95th percentile is 67.61.

b. The height that represents the first quartile is  61.4.

Mean (μ) = 63.2

Standard deviation  (σ) =  2.67

a. The value of the 95th percentile

Value of the 95th percentile = 63.2 + 1.65(2.67)

Value of the 95th percentile = 63.2 + 4.4055

Value of the 95th percentile = 67.61

b.  value of the first quartile (25th percentile)

Value of the  first quartile = 63.2 + (-0.67) (2.67)

Value of the  first quartile = 63.2 + (-1.7889)

Value of the  first quartile = 61.4

Therefore the height that represents the 95th percentile is 67.61 and the height that represents the first quartile is  61.4.

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To find the pay/hour that makes traveling on the plane and bus travel equally attractive, we can use the concept of "opportunity cost" by comparing the cost of the plane ticket with the cost of the bus ticket plus the pay/hour.

One way to do this is to use the concept of "opportunity cost," which is the cost of foregone opportunities. In this case, the opportunity cost of traveling by plane is the cost of the plane ticket, while the opportunity cost of traveling by bus is the cost of the bus ticket.

To find the pay/hour that would make traveling by plane and bus equally attractive, we can set up an equation where the opportunity cost of the plane ticket equals the opportunity cost of the bus ticket plus the pay/hour. This equation can be written as:

Plane ticket cost = Bus ticket cost + Pay/hour

To find the pay/hour, we will have to know the costs of the plane and bus tickets and solve the equation for Pay/hour.

Pay/hour = Plane ticket cost - Bus ticket cost

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The expression that represents the number of inches the plant grew this week is,

⇒ 8 - x

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

A plant measured x inches tall last week, and 8 inches tall this week.

Here, We have;

A plant measured x inches tall last week, and 8 inches tall this week.

Hence, The number of inches the plant grew this week is,

⇒ 8 - x

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Answer:

21 dollars is the change.

Step-by-step explanation:

If u do division 25/4 its equals to 5.25 which could be the answer too.

Answer:

7/3

Step-by-step explanation:

Suppose x of 1/3=7/9

           so, 1/3x=7/9

                     x=7/9*3/1

                     x=7/3

Answer:  k = 5/2 = 2.500

Step-by-step explanation: k=25​=221​=2.5

The value for Tan 2a = Cot ( a - 70) gives a= 53.33

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Tan 2a = Cot ( a - 70)

As, tan a= cot (90 - a)

So, cot (90- 2a) = Cot (a-70)

Now, comparing the angles we get

90 -2a = a - 70

90 + 70 = a + 2a

3a = 160

a = 160/3

a = 53.33

Hence, the value of a is 53.33.

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The store manager can use f∘g function to find the final price of a bicycle.

Let the buying price be Y,

Store is offering sale on the item given by function,

f(x) = x - 30

And offering an additional discount given by function,

g(x) = x - 0.1x = 0.9x

So final price be written as;

0.9x - 30    [ 10% off and 30$ discount ]

Then 0.9x - 30 = f∘g ( operations of functions of functions ).

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

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Lola is correct because each expression has a value of 1. Option A is correct.

The expression is the relationship between variables and represented as y = ax + b is an example of a polynomial expression.

here,
Given expression
A = [tex][[a /b]^{-4}]^0[/tex]
B = [tex][[a /b]^{0}]^{-4}[/tex]

Since we know that,
a⁰ = 1

So,
A = [1]
B = 1⁻⁴ = 1

Thus, Lola is correct because each expression has a value of 1. Option A is correct.

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Let's consider what the question asks for:

 --> domain and range, x-intercept, y-intercept of the equation

Let's find the domain:

 --> the only range of x-values that will make this equation 'untrue'

      --> is when the function inside the square root becomes negative

         --> as a square root cannot have a negative value inside it

                [tex]x+8\geq 0\\x\geq -8\\\\\text{Our domain is therefore [-8}[/tex],∞)

Let's find our range:

 --> the function doesn't have any limitations vertically

               [tex]\text{Our range is therefore}[/tex]  (-∞,∞)

Our x-intercept

 --> is when the y-value is zero

      [tex]0=-2\sqrt{x+8} \\\sqrt{x+8} =0\\x+8=0\\x=-8[/tex]

                [tex]\text{Our x-intercept is therefore -8}[/tex]

Our y-intercept:

 --> is when the x-value is zero

    [tex]y=-2\sqrt{x+8} \\y=-2\sqrt{0+8} \\y=-2\sqrt{8} \\y=-2*2\sqrt{2} \\y=-4\sqrt{2}[/tex]

                [tex]\text{Our y-intercept is therefore }-4\sqrt{2}[/tex]

Answer:

  Domain: [-8, ∞)

  Range: {-∞,∞)

  X-intercept is -8

  Y-intercept is [tex]-4\sqrt{2}[/tex]

Answer: 0

Also could you mark my answer as brainliest? It helps and doesnt hurt a bit

Answer:

3.1

Step-by-step explanation:

There will be approximately around 5000× 2¹⁸ = 262,144,000 bacteria.

Similar to the function of protonophores, bacterial populations have natural defences against antibiotics. These mechanisms interfere with the membrane electrochemical gradients that allow bacterial populations to develop persister subpopulations that are drug-tolerant.

Every four hours, the population will double, making a total of 18 times in a 72-hour period.

In the beginning there are 5000 bacteria and There are 24 hours in a day, hence there will be 72 hours in 3 days (3× 24).

There will be around 5000 × 2¹⁸ = 262,144,000 bacteria.

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