A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles.
How can you decompose the composite figure to determine its area?

as a circle, three rectangles, and a triangle
as a circle, a trapezoid, and four triangles
as a semicircle, three rectangles, and a square
as a semicircle, a trapezoid, and two rectangles

Answer:

A= 16

B= 2

Step-by-step explanation:

Answer:

A= 16

B= 2

That is the correct answer

The coefficient in this question represents the cost for the gigabytes over her plan.

A coefficient is a number that is multiplied by a variable. In this question, the coefficient is 10 and the variable is x. 10 here represents the the cost for the gigabytes over her plan.

10x represents the variable cost. Variable cost is the cost that increases with the number of gigabyte used. Fixed cost is the cost that does not change with the gigabyte used. It remains constant regardless of the level of gigabyte used.  Total cost is the sum of the fixed cost and the variable cost. The fixed cost is the cost of her normal plan.

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Answer:

Yes

Step-by-step explanation:

Replace x with -7 and y with 1 in the original inequality and solve

1 < -7/2 + 9

1 < -3.5 +9

1 < 5.5 (Since this statement is true, the point (-7, 1) is a solution)

The time taken by Sonia to mow 2.5 acres of land with push mower is 3.125 hours .

According to the question we have been given that

    Time taken by push mower to mow 1 acre land = 1.25 hours

     Time taken by Gas mower to mow 1 acre land = 35 minutes

We need to find how many hours Sonia take to mow 2.5 acre of land with push mower.

To find this we will use unitary method. That is

                    1 acre = 1.25 hours

                    2.5 acre = 1.25*2.5 hours

                                 = 3.125 hours.

Hence the time taken by Sonia to mow 2.5 acres of land with push mower is 3.125 hours .

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Explanation:

First let's find the nth term denoted as [tex]a_n[/tex]

[tex]a_n = a_1 + d(n-1) \ \text{ ... formula for arithmetic sequences}\\\\a_n = 20 + (-5)(n-1) \\\\a_n = 20 -5n+5 \\\\a_n = -5n+25 \\\\[/tex]

Now we can find the 18th term by plugging in n = 18

[tex]a_n = -5n+25 \\\\a_{18} = -5(18)+25 \\\\a_{18} = -90+25 \\\\a_{18} = \boldsymbol{-65} \\\\[/tex]

Answer:

-65

The 18th term in the sequence is -65.

Step-by-step explanation:

an=a1+(n-1)d

d=-5

a1=20

n=18

a18=20+(18-1)(-5)

Simplify.

a18=20+(17)(-5)

a18=20-85

a18=-65

The 18th term in the sequence is -65.

Hope this helps!

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Answer:

I am not sure but I think its is $1.13

There are 12 cups inside a 3-quart container

Step-by-step explanation:

Answer:

8.3333333 square & root of 25

Step-by-step explanation:

The equation y=2x² +8x +8 represents the quadratic function in standard form.

The Standard form for a quadratic equation is  ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

To solve a quadratic function, you should find the discriminant: D=b²-4ac and then use this variable in the formula: [tex]x=\frac{-b \± \sqrt{D} }{2a}[/tex] .

You should replace the given values for x and y in the standard form for a quadratic equation is  ax²+bx+c=0. When you use x=0, you can find the coefficient c. See below.

y = ax²+ bx + c

8 = 2*0 + b*0 +c

8 = 0 + 0 + c

c =8

Next step, you should find the coefficients a and b from the two given points.

         y = ax²+ bx + c, for (-1,2)

               2 = a -b +8  

        y = ax²+ bx + c, for (-2,0)

              0 = 4a -2b +8

Then,

a - b= -8+2

4a - 2b = -8

Here you have a linear system

a - b= -6      (1)

4a-2b = -8 (2)

For solving the linear system, first, you should multiply equation 1 by (-2) and after that sum equations 1 and 2.

Thus,

-2a +2b = +12  (1)

4a - 2b = -8      (2)

The result from sum equations 1 and 2 is

-2a +4a=4

2a=4

a=2

From equation 1 : a-b= -6, if a=2 you have:

a-b= -6

2 - b = -6

-b = -6 -2

-b = -8

b=8

Now you have all data for writing the standard for a quadratic equation: a= 2, b=8 and c=8

y=ax²=bx+c

y=2x²+8x+8

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Check the picture below, that one shows the imperial units, however is pretty much the same curve for a metric one, namely using metres, so the maximum point is at the vertex y-coordinate.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-4.9}t^2\stackrel{\stackrel{b}{\downarrow }}{+229}t\stackrel{\stackrel{c}{\downarrow }}{+234} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 229}{2(-4.9)}~~~~ ,~~~~ 234-\cfrac{ (229)^2}{4(-4.9)}\right) \implies \left( - \cfrac{ 229 }{ -9.8 }~~,~~234 - \cfrac{ 52441 }{ -19.6 } \right) \\\\\\ \left(\cfrac{1145}{49}~~,~~ 234+\cfrac{262205}{98} \right)\qquad \approx\qquad (\stackrel{seconds}{23.37}~~,~~\underset{\bigtriangleup}{\stackrel{meters}{2909.56}})[/tex]

Answer:

x<2.1

Step-by-step explanation:

5x<70-59.5

5x<10.5

X<10.5/5

X<2.1

Answer:

[tex] {1.4 \times 10}^{3} | [/tex]

Step-by-step explanation:

*winks and runs off ;)*

Answer:

2) SA + AM = SM

3) SA = AM

What is a defined term?

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

What is a midpoint?

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Hope this helped :)

Probability of at least one boy and one girl = [tex]\frac{3}{4}[/tex]

The probability of no of boys = 1/2 ×1/2×1/2= 1/8

The probability of no of girls = 1/2×1/2×1/2= 1/8

Now we have to find the probability of at least one girls

Probability of one boy and one girl = 1 - (1/8 + 1/8)

                                                           = 1 - 1/4

                                                           = 3/4

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The factors of the equation are -1/3 and -4/3

Rewriting the equation -

9x² + 15x + 4 = 0

ax² + bx + c = 0

Factorizing the equation such that

12 and 3 are suitable factors for solving the given expression -

9x² + 3x + 12x+ 4 = 0

Taking common factors -

3x(3x + 1) +4 (3x + 1) = 0

(3x + 1) (3x + 4) = 0

x = -1/3, -4/3

So, the two factors of expression are -1/3 and -4/3

Checking the answers by keeping each value of x in expression

When x = (-1/3)

9x² + 15x + 4 = 0

9(-1/3)² + 15(-1/3) + 4 = 0

1 -5 +4 = 0

5 - 5 = 0

0 = 0

When x = (-4/3)

9x² + 15x + 4 = 0

9(-4/3)² + 15(-4/3) + 4 = 0

16 - 20 +4 = 0

- 4 + 4 = 0

0 = 0

Since for both values of x, Left Hand Side of equation is equal to Right Hand Side of equation, the resultant factors are correct.

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The colors of automobiles are qualitative variables.

Qualitative data deals with traits and qualities that are difficult to quantify but can be perceptually experienced, such as flavors, sensations, looks, and colors. In general, you create quantitative data when you measure something and assign it a numerical value.

A qualitative variable, often known as a categorical variable, classifies a quality of something to characterize it. A wonderful illustration of anything that may be categorized is the hues of the cars in a parking lot: red, green, blue, black, white, etc. As a result, this is a qualitative variable.

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Answer:477.47 revolutions

Step-by-step explanation:

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

factor of   4x² + 49 is (2x)^2+(7)^2

                 x² + 1     is   x^2+(1)^2

                 36 + 100a²    is (6)^2=(10a)^2

                 16² +25     is (4)^2+(5)^2

                  18y² +8    is([tex]\sqrt{18}[/tex]  y)^2+([tex]\sqrt{8}[/tex])^2

                  x² + y²     is (x)^2+(y)^2

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Answer: He would use the money in 5 days.

Step-by-step explanation: 100 divided by 20 is 5.

Taking into account the definition of a system of linear equations, you little brother has 6 dimes.

A system of linear equations is a set of equations that have more than one unknown, appearing in several of the equations but necessarily in all of them. The equations relate the unknowns to each other.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. In other words, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know that:

The system of equations to be solved is

[tex]\left \{ {{d+n=42} \atop {0.1d + 0.05n=3}} \right.[/tex]

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "n" from the first equation:

n= 42 -d

Replacing this expression in the second equation obtained:

0.1d + 0.05×(42 - d)= 3

Solving:

0.1d + 0.05×42 - 0.05d= 3

0.1d + 2.1 - 0.05d= 3

0.15d + 2.1=3

0.15d= 3 -2.1

0.15d= 0.9

d= 0.9÷0.15

d= 6

Finally, you little brother has 6 dimes.

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The three positive integers are 34, 35, 36

Three positive integers are given as (x-1),x and (x+1)

Sum of these three integers are 105,

As we know the total sum of the three positive integers, we can get the value by adding the three integers to the sum value.

Thus,

(x-1) + x + (x+1) = 105

x - 1 + x + x + 1 = 105

3x + 0 = 105

3x = 105

x = 105/3

x = 35

Then, the integers are (35 - 1) , 35 , (35 + 1)

Therefore, the three positive integers are 34, 35, 36

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Answer: 225

Step-by-step explanation:

I may not be right but I’m taking that ascends is basically adding up the height so 150+75=225

The value of e³/₂ is 4.4758

e in here is considered as Euler's number. Euler's number is a numerical constant which is often used in mathematical calculations. the value of e can be taken into consideration as 2.71828.

The given expression e⁽³÷²⁾ can also be written as √e³. First the cube of e is calculated which is then followed by finding the square root of the calculated value.e⁽³÷²⁾ = √e³. The value of e³ when calculated is 2.7182 x 2.7182 x 2.7182 = 20.0855

Now taking the square root of the calculated value is √20.0855 is 4.4816

Therefore the value of e⁽³÷²⁾ up to four decimal places is 4.4816

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Answer:

The equation's result: 32,000 (Rounded)

Goal: Find the closest or equivalent result in another expression

Step-by-step explanation:

[tex](1.5^{15})/(0.7^{12})\\(1.5^{15})/(0.7^{12}) = (437.894)/(0.7^{12})\\437.894/(0.014)\\31636.79[/tex]

How we got to 31,636 was by dividing from left to right.

Remember: When dividing decimals, it's like multiplying whole numbers in a way. The number(the quotient, also) ends up bigger instead of being smaller like when dividing whole numbers. If you multiply decimals, they(the product) end up smaller.

Therefore, A is the correct answer.

Based on the poll of the opinion of food by students at a high school, one problem with the study is that B. Nonresponse.

In the question that was asked about how acceptable the food was, the total number of people who responded were:

= 54 + 103 + 15

= 172 responses

This means that the number of people who didn't respond were:
= 200 - 172

= 28 students

This is a problem of nonresponse as 28 students opted not to respond to the question which can affect research conclusions.

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Transformation of y= bx into [tex]y=\frac{1}{2} 9x[/tex] will take place by vertical dilation by a scale factor of [tex]\frac{9}{2}[/tex] .

We have given two function y=b x  and [tex]y=\frac{1}{2} 9x[/tex]  which means that first y  changes into [tex]\frac{1}{2} 9x[/tex] i.e., vertical dilation by a scale factor of [tex]\frac{9}{2}[/tex] .

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According to the question, the solution for the equation [tex]ln(x)=2[/tex]  is [tex]e^{2}[/tex]. And the procedure for the given equation is as follows:

Expression: [tex]ln(x)=2[/tex]

Removing logarithmic function from the equation, equate it to exponential. Therefore, the expression can be re-written as:

                                  [tex]ln(x)=2\\(x)=e^{2}[/tex]

Therefore, the solution for the equation is :[tex]x=e^{2}[/tex].

What is logarithmic function?

In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.

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Answer:

Step-by-step explanation:

the image of BC reflecting over FC is DC.

The given statement is of Inductive Reasoning as "the next number you get should be 20" is just a generalization, there is nothing conclusive.

In the Inductive reasoning , if the statements are true then it does not mean that the conclusion will also be true.

In the Deductive reasoning , if the statements are true then the conclusion need to be true.

In the given question ,

We are playing a lottery and buy tickets with randomly generated numbers.

As the numbers are randomly generated we cannot conclude anything concrete/logically about the next number.

It is random that we have found the pattern and found the next number to be 20.

It is just a mere coincidence that the next number is 20 .

There is nothing Logical for the next number to be 20 as the numbers are randomly generated.

Since in this situation we have made a generalization after observing the pattern , "the next number you get should be 20" is mere generalization and thus, it represents Inductive Reasoning .

Therefore , this case is the case of Inductive Reasoning , the correct option is (a) Inductive.

The given question is incomplete , the complete question is

you're playing the lottery, and you buy a ticket with randomly generated numbers. the first three numbers you get are 5, 10, and 15. thus, the next number you get should be 20.

Which type of reasoning does this statement represent ?

(a)Inductive

(b)Deductive

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