Give a real-life representation of loudness and sound using exponential function.

Answer:

- 3,  2/3

Step-by-step explanation:

Given:

3·x² + 7·x - 6 = 0

General Equation:

a·x² + b·x + c = 0

a = 3;

b = 7;

c = - 6.

Discriminant:

D = b² - 4·a·c = 7² - 4·3·(-6) = 49 + 72 =  121

√ (D) = √ (121) = 11

Solution:

x₁₂ = ( - b ± √(D) ) / (2·a);

x₁ = ( - 7 - 11 ) / (2·3) =  ( - 18) / 6 =  -3

x₂ = ( - 7 + 11 ) / (2·3) =  4 / 6 = 2 / 3

In the triangle ABE

step 1

Find out the measure of angle AEB

m by form a linear pair

mm

step 2

Find out the measure of angle ABE

m by alternate interior angles

step 3

Find out the measure of angle x

Remember that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

msubstitute given values

x+100+30=180

x=180-130

The most appropriate choice for exponent will be given by-

Mass of jupiter = 1.898 [tex]\times[/tex] [tex]10^{27}[/tex] kg

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]

Here, 2 is multiplied by itself 4 times.

If [tex]a^m = a\times a \times a\times....\times a[/tex] (m times), a is the base and m is the index.

The laws of index are

[tex]a^m \times a^n = a^{m+n}\\\\\frac{a^m}{a^n} = a^{m - n}\\\\a^0=1\\\\(a^m)^n = a^{mn}\\\\(\frac{a}{b})^m =\frac{a^m}{b^m}\\\\a^{-m} = \frac{1}{a^m}[/tex]

Here,

Mass of jupiter = 1.898 [tex]\times[/tex] [tex]10^{27}[/tex] kg

To learn more about exponent, refer to the link:

https://brainly.com/question/11975096

#SPJ9

The linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet will be T = (-9/2)x +103.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that, it is 76 degrees at the 6000-foot level of a mountain and 49 degrees at the 12000-foot level of the mountain.

As we know the linear equation in the slope-intercept is found as,

y =mx + b

Replace m with the c,y with the T, and b with the k as

T = cx + k

From the given data,

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c

For condition 2,

49 = c(12) + k

49 = 12c + k

Substitute the value of k in the above equation,

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

c=-9/2

Put the value of c in the equation,

K = 76 -6c
K = 76 -6(9/2)

K = 76+27

k = 103

Put the value of c and k in the equation below,

T = cx + k

T  = (-9/2)x+103

Thus, the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet will be T = (-9/2)x +103.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

A 28-sided die exists rolled 3 times then the different possible outcomes exist £350.

The sales price of the property used as collateral for the mortgage, as stated in the contract, or the appraised value at the time the relevant residential mortgage transaction was completed, whichever is less, is referred to as the "original value" with respect to a residential mortgage transaction.

The value of a mortgaged property is determined by an appraisal that was done in conjunction with the loan's origination.

Based on the given conditions, formulate:

28 × 3 = 84 then

£84 / 24%

simplifying the above equation, we get

= £350

Therefore, different possible outcomes exist for £350.

To learn more about original value refer to:

https://brainly.com/question/26298798

#SPJ9

The value of the function at -3 is g(-3) = -17 .

A function from set X to set Y is created by assigning an element from set Y to each element in set X. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.

We know that g(x) = 3x-8

Therefore we substitute the value of x with -3 to get g(x) .

g(-3) = 3(-3)-8 = -9 - 8 = -17

Therefore the value of the function is -17.

To learn more about function visit:

https://brainly.com/question/12431044

#SPJ1

Answer:

0

Step-by-step explanation:

if you distribute the negative through the second part, you get x-y-x+y, so the x and y will both cancel to 0.

Answer:

Step-by-step explanation:

( x + y ) - ( x - y )

x + y - x + y  

x - x + y + y

The amount that Sandy has to pay to buy the cell phone is 1.07x dollars.

This is a question of percentages.

Percentage

Percentage means a number or a ratio expressed in terms of fractions of 100. It is denoted using the percentage sign “%”.

It is given in the question that:-

Price of cell phone = x dollars

Additional sales tax = 7 %

We have to find the amount, in dollars, that Sandy had to pay to buy the cell phone.

Total amount Sandy had to pay for the cell phone = x + 7 % of x

x + (7/100)x = x + 0.07x = 1.07x dollars.

To learn more about Percentage, here:-

https://brainly.com/question/28269290

#SPJ1

Answer:

Step-by-step explanation:

3/4 first is correct

third one and 4th one

Answer:

x=18

Step-by-step explanation:

Using proportion reasoning:

6/12=9/x

6x=108

x=18.

using properties of log (a/b) = log (a) - log (b)

in this case log 2 - log 8 = log (2/8) = log (1/4)

first option

Answer:

Step-by-step explanation:

Use the slope formula of y^2-y^1 over x^2-x^1

(-9,0)

x^1 ,y^1

(-17,4)

x^2,y^2

4-0 over -17-(-9) ----> 4/-8

Simplify 4/-8 by dividing the numerator and denominator by 4

Answer:

Step-by-step explanation:

is x equals 48, y might be 2, since 24x2=48, & when 6x8=48.

From the information given in the scatter plot, we can infer that the number of clusters given is three in number. (Option B) See attached image and explanation below.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

A scatter plot is a graph that displays data points linking two variables. Each item of data is represented by a separate point on the scatter plot, and the points are not linked.

In a scatter plot, a cluster is a group of dots that follow the same basic pattern. They might follow a straight route or a curved line. Many points can be found in a cluster.

Given the patterns identified in the scatter plot, it is correct to infer that there are three clusters.

Learn more about clusters:
https://brainly.com/question/27848870
#SPJ1

The number of phones sold and the number of accessories sold will be 6 and 13 respectively.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that Abigail earns a $14 commission for every phone she sells and a $3.50 commission for every accessory she sells. on a given day, Abigail made a total of $129.50 in commission and sold 7 more accessories than phones

Suppose the number of accessories and phone be a p respectively.

If he sold 7 more accessories than phones the obtained equation is,

a = p+7

If Abigail receives a commission of $14 for each phone sold and a commission of $3.50 for each accessory sold. Abigail earned a total of $129.50 in commission on a certain day; the resulting calculation is

⇒3.5a + 14p = 129.50

⇒3.5(p+7) + 14p = 129.5

⇒3.5p + 24.50 + 14p = 129.5

⇒17.5p = 105.0

⇒p = 6

Substituting the value of p in the equation we get, a = 13

Thus, the number of phones sold and the number of accessories sold will be 6 and 13 respectively.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ1

The total number of the boys and girls in that class were equal, then 27 boys stated that they liked basketball while 18 stated that they liked kickball.

As per the question statement, in a P.E. class, when the boys and girls were asked about their favorite sport, for every three boys who stated they like basketball, two boys liked kickball, while the girls' survey reported that, for every four girls that like basketball, one liked kickball, and 36 girls said they liked basketball.

Since there is no other information provided in the question statement, we are assuming that the total number of the boys and girls in that class were equal.

Based on the question mentioned conditions and above stated assumptions, we are required to calculate the number of boys who like each sport separately.

Here, given that, "for every four girls that like basketball, one liked kickball", i.e.,

The ratio of the number of girls who liked basketball to that of kickball is (4 : 1).

Now, let us assume that the total number of girls in that class is "x"

Therefore, as per the condition that, "36 girls said they liked basketball",

we can write [{(4/5) * x} = 36]

Or, [x = {36 * (5/4)}]

Or, [x = (9 * 5)]

Or, (x = 45)

That is, the total number of girls in that class is 45.

And as per our assumptions, the total number of boys in that class is also 45.

Also given in the question statement that, "for every three boys who stated they like basketball, two boys liked kickball", i.e.,

The ratio of the number of boys who liked basketball to that of kickball is (3 : 2).

Therefore, number of boys who like basketball = (3/5) * 45] = (3 * 9) = 27.

And the number of boys who like kickball = (45 - 27)  = 18.

Ratio: In Mathematics, a ratio is a term that is used to compare two or more numbers, specifically used to indicate how big or small a quantity is when compared to another.

To learn more about Ratios, click on the link below.

https://brainly.com/question/26953234

#SPJ4

Answer:

I'm not sure if this is right but I'm gonna say no, the tip of each triangle seems off by just a bit

Part a: 4 = 4

Thus, 4 = 4 is a Reflexive property of equality.

Part b: -3 = x and x = -3

Thus, -3 = x and x = -3 is the symmetric property of equality.

To know more about the property of equality, here

https://brainly.com/question/1601404

#SPJ13

The solution of the given sequence is :

Putting n = 0

a ) u1 = u0 ^3 + 2 = - 27 + 2 = - 25

b) un+1=un^3+2

c ) u2 = u1^3 + 2 = - 15625 + 2 = - 15623

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression is another name for an arithmetic sequence.

Starting with a number and repeatedly adding a fixed constant (d) to it is an easy technique to create a series. An arithmetic sequence is this kind of sequence. An arithmetic sequence is one that has the following formula: a, a + d, a + 2d, a + 3d, a + 4d.

To know more about arithmetic sequence visit :

https://brainly.com/question/12108818

#SPJ13

Answer:

Step-by-step explanation:

Answer:

8363

Step-by-step explanation:

Solve this using BODMAS (Brackets of Division, Multiplication, Addition, Subtraction)

=> 2 + (45 + 92)63

=> 2 + (137)63

=> 2 + 8361

=> 8363

The slope–intercept form of the equation, 6•x - 2•y = 12, is y = 3•x - 6, the completed table is therefore;

x; -2, -1, 0, 1, 2

y; -12, -9, -6, -3, 0

The slope of the equation is 3

The y–intercept of the graph of the equation is (0, -6)

The x–intercept is (2, 0)

The slope–intercept form of a straight line equation is the form; y = m•x + c, which shows (indicates) the slope, m and the y–intercept, c

The given equation is; 6•x - 2•y = 12

Required;

To rewrite the equation in the slope–intercept form of a straight line equation, y = m•x + c

Solution;

6•x - 2•y = 12

Rearranging the above equation gives;

6•x - 12 = 2•y

From the symmetric property of equality, we have;

2•y = 6•x - 12

Dividing both sides of the equation by 2 gives;

y = (6•x - 12) ÷ 2 = 3•x - 6

Therefore;

y = 3•x - 6

The above equation is in the slope–intercept form, y = m•x + c

Where;

Which gives the y–intercept as the point (0, -6)

The table of values can therefore be completed as follows;

x; -2, -1, 0, 1, 2

When x = -2, y = 3×(-2) - 6 = -12

When x = -1, y = 3×(-1) - 6 = -9

At the point, x = 0, y = 3×(0) - 6 = -6

The point where x = 1, gives; y = 3×(1) - 6 = -3

At the point where x = 2, y = 3×(2) - 6 = 0

Which gives the completed table as follows;

x; -2, -1, 0, 1, 2

y; -12, -9, -6, -3, 0

The x–intercept is the point where the y–value is 0, which from the completed table gives the x–intercept as the point (2, 0)

Learn more about the slope–intercept form of a straight line equation here:

https://brainly.com/question/16186187

#SPJ1

The option A that f(-3)=g(-4) will be the correct option for the given graph  of set of intersecting line meeting at point (-3,-4).

When two or more lines intersect in a plane, they are referred to as intersecting lines. The intersecting lines share a common point, which exists on all of them and is known as the point of intersection.

The intersecting lines (two or more) always meet at one point.

The intersecting lines may cross at any angle. This formed angle is always greater than 0° but less than 180°.

A pair of vertical angles is formed by two intersecting lines. Vertical angles are opposite angles that share a vertex (which is the point of intersection).

In the graph we can see that lines are meeting at (-3,-4) that is why the option A f(-3)=g(-4) is most suitable option.

To know more about intersecting line,

https://brainly.com/question/28888807

#SPJ13

Answer: x = 7 0r x -5

Step-by-step explanation:

A three-number total equals twenty. The third is three times as much as the second. From the equation numbers area 0.1, 1.2 and 17.4.

Given that,

A three-number total equals twenty.

The third is three times as much as the second.

11 less than 10 times the second is 9 times the first.

We have to find the numbers.

First take the 3 numbers as a,b and c

A three-number total equals twenty.

We can write as,

a+b+c=20→ equation(1)

The third is three times as much as the second.

c=12b+3→equation(2)

11 less than 10 times the second is 9 times the first.

9a=10b-11→equation(3)

Now,

From equation(3) we get,

a=(10b-11)/9=10/9b-11/9

From equation(2) we get,

c=12b+3

Substitute value a and c in equation(1),

10/9b-11/9+b+12b+3=20

10b-11+9b+108b+27=20×9

127b+16=180

127b=180-16

127b=164

b=164/127

b=1.2

Substitute the b value in equation (2) and (3)

Equation(2)

c=12b+3

c=12(1.2)+3

c=14.4+3

c=17.4

Equation(3)

a=10/9b-11/9

a=10/9(1.2)-11/9

a=1.3-1.2

a=0.1

Therefore, the numbers are 0.1, 1.2 and 17.4.

To learn more about numbers visit: https://brainly.com/question/17429689

#SPJ1

Considering the volumes of the ball and of the box, it is found that the balls will not fit into the box.

The ball is spherical, with a diameter of 8 inches = radius of 4 inches.

The volume of an sphere of radius r is given by:

V = 4/3πr³.

Hence the volume of each ball is given by:

V = 4/3π x 4³ = 267.4 cm³.

The volume of the three balls is:

V = 3 x 267.4 cm³ = 802.2 cm³.

The box is a triangular prism, hence the volume is given by the multiplication of the base area by the height, as follows:

V = Ab x h.

The height of the box is of 9 cm, however we have to find the base area.

From the bisection, at the right side of the triangle, we have that half the side of the equilateral triangle is of 7.8 cm, hence the side length is of:

s = 2 x 7.8 = 15.6 cm.

Hence, bisecting the base triangle to find the height, it will have:

Then the height can be found as follows:

tan(30º) = h/7.8 (tangent = opposite side/adjacent side)

h = 7.8 x tan(30º)

h = 4.5 cm.

The area of a triangle is half the multiplication of the side length and the height, hence the base area is:

A = 0.5 x 15.6 x 4.5 = 35.1 cm².

Then the volume of the box is:

V = 35.1 x 9 = 315.9 cm³.

The volume of the three balls is of 802.2 cm³ > 315.9 cm³, hence the three balls will not fit into the box.

The box is missing and is given by the image at the end of the answer.

More can be learned about volumes at https://brainly.com/question/463363

#SPJ1

Answer:

an inscribed​, sides​, ​4.5,cm ​, greater​, will

The speed in miles per day 3318.18miles/day

What is Speed?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Given,

Object moving in speed of 7300inches in 3 sec

Object moving in 1 sec = 7300/3

                                      = 2433.33inches/sec

Converting inches/sec into miles/day

Since,

1inches/sec = 1.36364miles/day

Then ,

         2433.33inches/sec = 2433.33 x 1.36364

                                          = 3318.18miles/day

Hence, speed in miles per day is 3318.18miles/day

To learn more about Speed click on the link

https://brainly.com/question/13943409

#SPJ9