Solve 5+ 4.7 (21 + 3x) = 41

let's recall Descartes rule of signs, to get the Real Positive ones we start by checking the sign changes for f(x), and to get the Real Negative ones we check the sign changes for f( -x ).

Check the picture below.

Answer:

area of base is 9pi

circumference of base is 6pi

lateral surface 24

surface area is 42

Step-by-step explanation:

Step-by-step explanation:

M=?

=$104.45-$11

=93.45

$93.45÷0.07

=1335

He used 1335 minutes in month

Answer:

Step-by-step explanation:

Remark

Using Algebra, this is a proportion question. A proportion is 2 equal ratios

If the of the 2 ratio parts are known, it is possible to solve for the 4th one.

Formula

9_bats/50_grams::81_bats/x grams insects

Solution

Put the three knowns in and solve for the 4th which is not known

9 bats/ 50 insects = 81 bats /x insects.         Cross multiply

9 * x = 50 * 81                                                  Combine

9x = 4050                                                       Divide by 9

9x/9 = 4050/9

Answer: x = 450 grams

Answer:

D

Step-by-step explanation:

D .  .79 d would be the same

d- .21d =   (1-.21) * d= .79 d

Answer:

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

An amortization schedule is conveniently prepared using a spreadsheet. It has the formula built in for computing the payment value.

__

The amount of the payment going to interest is the product of the outstanding balance and the monthly interest rate (=6%/12). In the attached, the amount of interest due is rounded to cents. The remaining amount of the payment reduces the outstanding balance.

The attachment shows the payment calculation and the amortization schedule for the first 5 payments.

Step-by-step explanation:

If 3 HD and 2HB cost $7.50

2 HD and 3HB cost $8.75

Let,y be HD

Y be HB

So 3y + 2x = $7.50. Eqn 1

2y + 3x = $8.75. Eqn 2

Solve simultaneously

Make x the subject in Eqn 1

3y + 2x = 7.50

2x = 7.50 - 3y

Devide by the coefficient of x

2x/2 = (7.50 - 3y) / 2

X = (7.50 - 3y) /2 Eqn 3

Put Eqn 3 into 2

2y + 3(7.50 - 3y) / 2 = 8.75

2y (22.5 - 9y) / 2 =8. 75

Multiply by the lcm of the denominators

2y x 2 + ((22.5 - 9) / 2) x 2 = 8.75 x2

4y + 22.5 - 9y = 17.50

Group like terms

22.5 - 17.50 = 9y - 4y

5 = 5y

5/5 = (5y) / 5

1 = y Eqn 4

Therefore 1 HD is $1

Put Eqn 4 into eqn 3

X = (7. 50 - 3y) / 2

X = (7.50 - 3(1)) / 2

X = 4.5 / 2

X = 2.25

Therefore 1 HB is $2.25

Answer:

164,340

Step-by-step explanation:

[tex]120n+160500\\120(32)+160500\\3840+160500\\164340[/tex]

Put n=32

need pic pls so I can answer your questions

[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =2\\ s=99 \end{cases}\implies 99 = r(2)\implies \cfrac{99}{2}=r\implies 49.5=r[/tex]

Answer: 12 1/28

Step-by-step explanation:

Add whole numbers. Solve fractions by finding the LCD.

Answer:

12

Step-by-step explanation:

→ Find the total age of the children

15 × 11 = 165

→ Add the mans age

165 + 27 = 192

→ Divide by 16

192 ÷ 16 = 12

Answer:

(425-330)/n=A

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary.

A statistical question is one that can be answered by collecting data and where there will be variability in that data

The only one that can have a variety of answers is the last one.

A, B, and C are countable and do Not Vary or change in amount they remain the same. There will always be 12 months in a year. 3 wheels on a tricycle and the amount of stripes in the flag will not change. If the question ask something that can change or vary it is a Statistical question. Like for example "How many minutes do 6th grade students typically spend on homework each week?" and  “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

A Good Statistical Question Produces Data with Variability

A statistical question is one that requires the collection of data with expected variability in it. The data collected changes in value. You can quantify them. If the data could not be measured, then you have to think it over again.

Red cube will take 1,1 position (first row, first column).

Yellow cube will take 3, 4 position (third row, fourth column).

Green cube will take 4, 1 position (fourth row, first column).

A pattern is a repeated arrangement of numbers, shapes, colors and so on.

According to the given question.

We have three squares made up of small cubes.

In the three squares, only three cubes of each square are colored by following some pattern.

In the given series of square we can see that, the yellow colored cube moving straight forward. And the green and red cubes are moving diagonally.

Therefore, by following this pattern the  cubes of fourth square of the series will take position:

Red cube will take 1,1 position (first row, first column).

Yellow cube will take 3, 4 position (third row, fourth column).

Green cube will take 4, 1 position (fourth row, first column)

Thus, the third option is correct.

Find out more information about pattern here:

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GH is a tangent to the given circle.

A line that only touches a circle or an ellipse at one point is said to be tangential in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve.

As per the given diagram:

The line segments AB, AC, DC and EF are drawn in the diagram also a line GH is drawn in the diagram.

A line GH is drawn such that it's extending from both of its end towards infinity, and it touches the circle at only one point, which is G. This satisfies all the conditions for the line GH to be a tangent.

Hence, GH is a tangent to the given circle.

To learn more about tangents, click here:

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Answer: 1.115 metres

Step-by-step explanation:

     The radius is half the diameter.

2,230 mm / 2 = 1,115 mm

     To turn mm into metres, we divide the length by 1,000.

1,115 mm / 1,000 = 1.115 metres

Answer:

1.115m

Step-by-step explanation:

[tex]radius = \frac{diameter}{2} \\ = \frac{2230}{2} \\ = 1115mm \\ = from \: mm \: to \: m \\ = \frac{1115}{1000} \\ 1.115m[/tex]

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[tex] \: [/tex]

Step-by-step explanation:

It is given that, the height of a triangle is 3cm, and its base is 3cm and we are to find the area of triangle.

[tex] \: [/tex]

To find the area of the triangle, we have to know this formula :

[tex]\\ {\longrightarrow \pmb{\frak {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times Base \times Height \:}}} \\ \\ [/tex]

Now, substituting the values in the formula :

[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times 3 \times 3 \:}}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times 9 \:}}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{9}{2} \:}}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Area_{(Triangle)} = \: 4.5 \:}}} \\ \\ [/tex]

Therefore,

Answer:

4.5cm^2

Step-by-step explanation:

Find area of a square 3*3=9

Half of a square is 9/2=4.5

Answer: 63 questions

Step-by-step explanation: to find 75% of 84, multiply 84 by .75

Answer:

Directly proportional

Step-by-step explanation:

Answer:

First know the formula for the area of a circle;

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our diameter.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, 6 is our radius.

Now we plug this into our formula:

A = π[tex]r^{2}[/tex]

A = 3.14(6^2)

A = 3.14(36)

A = 113.04 centimetres is the area of the circle.

For the second problem, we can see that 18 is our diameter.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, 9 is our radius.

Now we plug this into our formula:

A = π[tex]r^{2}[/tex]

A = 3.14(9^2)

A = 3.14(81)

A = 254.34 inches is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = π[tex]r^{2}[/tex]

A = 3.14(5^2)

A = 3.14(25)

A = 78.5 meters is the area for this circle.

Answer:

[tex]\textsf{A.} \quad \textsf{The slope of the line is }\boxed{\dfrac12}[/tex]

Step-by-step explanation:

[tex]\textsf{let}\:(x_1,y_1)=(12,0)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,-5)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-0}{2-12}=\dfrac12[/tex]

[tex]\textsf{The slope of the line is }\boxed{\dfrac12}[/tex]

Answer:

A.

Step-by-step explanation:

Answer A. It works because the pairs of socks for 2.49 each and the 14.99 shirt need to be less than 25.

Answer:

3/4

Step-by-step explanation:

There are 13 clubs in a standard 52-card deck

That means that 39 cards out of the 52 are not a club ( because 52-13=39)

So the probability of you not being dealt a club is 39/52 or 3/4

Answer:

C. rectangle is cross section shape

Check the picture below.

Answer:

see below

Step-by-step explanation:

12^6 / 12^3   = 12 ^(6-3)  12^3

(9^3)^5  = 9^(3*5) =  9 ^ 15