A line has a slope of 1 and passes through the point (–12, –17) What is its equation in slope intercept form?

Number is the equivalent of the one written in scientific notation is

3. 21 × 104 kg = kg 2. 0 × 10-5 l = l

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.

Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 108 in scientific notation.

we have the number,

[tex]$0.000013$we know that$0.000013=\frac{13}{1000,000}=\frac{13}{10^6}=13 * 10^{-6}=1.3 * 10^{-5}$[/tex]

[tex]thereforethe answer is$1.3 * 10^{-5}$[/tex]

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.

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The roster form of the set P is; {-2, -1, 0, 1}

The builder notation of the set P is; {x : x ∈ I, −2 < x ≤ 1}

We are told that P is the set of integers that are greater than -3 and less than or equal to 1.

Roster form of sets is done by listing the elements of the set, separated by commas, inside a set of curly brackets.

Since P is the set of integers that are greater than -3 and less than or equal to 1, then the possible numbers are; (-2, -1, 0, 1)

The roster form is; {-2, -1, 0, 1}

The builder notation of this set is;

{x : x ∈ I, −2 < x ≤ 1}

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x = ㏑₂8 in the logarithmic function.

A logarithmic function is the inverse of an exponential function.

Given  function if f(x) = [tex]2^{x}[/tex],

When strength is equal to 8 pascals, f(x) = 8

Therefore, 8 = [tex]2^{x}[/tex]

Taking log on both sides:

                 ln8 = ln[tex]2^{x}[/tex]

                 ln8 = xln2

       or         x  = ln8/ln2

                    x = ㏑₂8

Hence, the required function is x = ㏑₂8.

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The rate of change of the area is 3868.48 cm2/min

What in math is a rate?

A rate is a unique ratio where the two words are expressed in several units. For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. This ratio compares two dissimilar units: ounces and cents

A = A(r) (r)

r = r(t) (t)

A = A(r(t))

The chain rule can be used to resolve this kind of issue.

Rate of area change:

(dA/dr)(dr/dt) = dA/dt

A=r2 dA/dr = 2r

dr/dt [given] = 7 cm/min

(2r)(7 cm/min) = (dA/dt)

If r = 88 cm,

dA/dt = 2π (88 cm) (7 cm/min) ≅ 3868.48 cm2/min

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Answer:

1/ y= -3x + 12.96

2/ $9.99 for an entire album & $0.99 for a song

Step-by-step explanation:

We know that the

The amount charged for downloading individual songs = x dollars

And the amount charged for downloading an entire album = y dollars

Let's write a function for person A first

6x + 2y = 25.92

Solve, and we will get

y = -3x + 12.96

Now to person B

4x + 3y = 33.93

Putting the value of y from the first equation in the second

4x + 3(12.96 - 3x) = 33.93

- 5x = - 4.95

x = $0.99

Then we take

y = 12.96 - 3x

= 12.96 - 2.97

= $9.99

The value of the x for the given condition will be 4.14.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

It is given that, ∠1 =10x-22, ∠2=3x+7

Since they are vertically opposite angles they are equal.

∠1 = ∠2

10x-22 = 3x+7

10x-3x=7+22

7x=29

x=29/7

x=4.14°

Thus, the value of the x for the given condition will be 4.14.

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The value of x is 15, for the given pair of parallel lines.

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

Given that,

Lines y and z are parallel,

And angles are (10x-22)° and 3x+7)°

The supplementary angle of (10x-22)° is 180° - (10x-22)°.

Since, lines y and z are parallel, therefore,

angle 180° - (10x-22)° and (3x+7)° will be equal.

180° - (10x-22)°  = (3x+7)°

180° = 3x+7 + 10x - 22

180 = 13x - 15

195 = 13x

x = 15

The required value of x is 15.

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The equation of line is given below:

a) m = 2 , b = -3

b) m = -3/2 , b = -2

c) m = not defined , b = none

d) m = 0 , b = -8

e) m = [tex]\frac{2}{3}[/tex] , b = -4

What do you mean by equation of line?

A line equation is an algebraic representation of a set of points that together form a line in a coordinate system. A number of points that together form a line of axes, represented as a set of variables x,y, form an algebraic equation called the line equation.

Slope intercept form of the line is y = mx - b where m is the slope of the line and b is the x-intercept

a) y = 2x + 3

On comparing the equation with y = mx - b, we get m = 2 , b = -3

b) 2y = -3x -4

⇒ y = ( -3x -4 )/2

⇒ y = [tex]\frac{-3x}{2}[/tex] - 2

On comparing the equation with y = mx - b, we get m = -3/2 , b = -2

c) x = -10

⇒ x + 10 =  0

On comparing the equation with y = mx - b, we get m = not defined , b = none

d) y= 8

On comparing the equation with y = mx - b, we get m = 0 , b = -8

e) 3y = 2x + 12

⇒ y = (2x + 12)/3

⇒ y = [tex]\frac{2x}{3}[/tex] + 4

On comparing the equation with y = mx - b, we get m = [tex]\frac{2}{3}[/tex] , b = -4

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The coordinates of points C are (4,1).

The coordinates of the points D are (3, 2) respectively.

y = mx + c. Conversely,is the formula of coordinate that help to find  satisfy to the equation y = mx + c is always lie on the line with the gradient m and y-intercept of c.

If the point C is divides AB in the ratio 2:3, then the coordinates of C are;

Xc=2(1)+3(6)/2+3

Xc=2+18/5

Xc=20/5 = 4

Yc=2(4)+3(-1)/2+3

Yc=8-3/5

Yc=5/5 = 1

The coordinates of points C are (4,1).

If the point D divides the  AC in the ratio 3:2, then the coordinates of D are-

Xc= 3(1)+2(6)/3+2

Xc=3+12/5

Xc=15/5 = 3

Yc=3(4)+2(-1)/3+2

Yc=12-2/5

Yc=10/5=2

The coordinates of the point D are (3, 2).

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The value of the sixth term of the sequence will be negative 64.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

If the first term (a₁) is 2 and the relation is aₙ = -2aₙ₋₁.

The second term is given as,

a₂ = -2a₂₋₁

a₂ = -2a₁

a₂ = -2 x 2

a₂ = - 4

The third term is given as,

a₃ = -2a₃₋₁

a₃ = -2a₂

a₃ = -2 x ( - 4)

a₃ = 8

The fourth term is given as,

a₄ = -2a₄₋₁

a₄ = -2a₃

a₄ = -2 x 8

a₄ = - 16

The fifth term is given as,

a₅ = -2a₅₋₁

a₅ = -2a₄

a₅ = -2 x (- 16)

a₅ = 32

The sixth term is given as,

a₆ = -2a₆₋₁

a₆ = -2a₅

a₆ = -2 x 32

a₆ = - 64

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Answer: -64

Step-by-step explanation:

A number plus1/5 of the number can be expressed as n + 1/5n .

A number is defined as it is an arithmetic value which is used to represent the given quantity or in making calculations. Hence, a number is a mathematical concept which is used to count, measure, and label it . Thus, we can say that numbers form the basis of mathematics.

n = number

A number in which we plus 1/5 of the number then it can be expressed as;

1 + 1/5 n

6/5 + n

n + 1/5 n

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Answer: 5 trust me

Step-by-step explanation: trust me

The function representing the graph is f(x) = (x + 5)²(x - 3)². The correct option is (a).

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

The given graph of the function cuts x axis at (-5,0) and (3,0) and y axis at (0,225) respectively.

Since the zeros of a function is the point at which it cuts the x-axis, the zeros at of the given functions are -5 and 3.

Which implies that the factors are (x + 5) and (x - 3) respectively.

The given factors are valid for options (a) and (d).

Now, at x = 0 f(x) should be 225.

It can be checked for both the options as follows,

(a) f(x) = (x + 5)²(x - 3)²

=> f(0) = (0 + 5)²(0 - 3)²

           = 5² × -3²

           = 225

Hence, the function that represents the given graph is f(x) = (x + 5)²(x - 3)².

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Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.

An algebraic equation is a linear equation. Each term in a linear equation is either a constant or the result of a constant plus one variable. In the case of a linear equation with two variables, the graph is a straight line.

Here,

A) From the given  we can find the price per ticket

which is => y/x

=> 60/5

=>12

Therefore the price per ticket is $12

B)The equation can be used to represent the graph is

y= 12x

C) The theater were to sell 328 tickets they would make

=> 328*12=3936

Therefore the money would they make is $3936

D)The relationship proportional as we can see from the graph

Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.

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Answer: 40 in2

Step-by-step explanation:

Area of a triangle = 1/2 (base)(height)

Side AB is common to both triangles

BC = 5(BD)

Area ABD = 8, therefore Area ABC = 5(8) = 40

In linear equation, The number of miles that he walked when he was covered and 2/3 of the distance to the gym will be 7/30 miles.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Patrick walks 9/10 miles to the gym.

Then the number of miles that he walked when he was covered 2/3 of the distance to the gym will be

⇒ 9 / 10 - 2 / 3

⇒ (27 - 20) / 30

⇒ 7 / 30

The number of miles that he walked when he was covered and 2/3 of the distance to the gym will be 7/30 miles.

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The required type of p-value would she want to obtain is small p-value.

Hypothesis testing is a type of measurable surmising that utilizes information from an example to make inferences about a populace boundary or a populace probability distribution. Initial, a speculative supposition that is made about the boundary or dispersion.

P-value  shows that the outcomes are genuinely huge.

P-value  in Measurements assists with performing speculation test and it assists with deciding the meaning of the outcomes.

A little P-value  commonly (P<0.05) demonstrates solid proof against the invalid speculation in this way, we reject the invalid speculation, on opposite when P-esteem is enormous we can't dismiss the invalid speculation.

Thus, required answer is small p-value.

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Answer:

Step-by-step explanation:

-x+6y= 5  ----1

2x - 12y = -10 ----2

6y = x + 5

y = (x + 5)/6

2x -12(x + 5)/6 = -10

2x - 2x + 5 = -10

0 = -15

so, x and y have no value

The output will be if Input (x) = a number is y = 3x - 8, so option D is correct.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

Input (x) = a number,

Output (y) = 8 less than 3 times x.

Assume a number x which is an input,

3 times of x  = 3x,

8 less than 3 times of x = 3x - 8

Therefore, the output will be if Input (x) = a number is y = 3x - 8.

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Answer:

Hope this help :)

Step-by-step explanation:

To correct Sarah's answer, the standard form of the given value would be = 4.01 × 10^⁹ km.

Standard form is defined as the simplified method of representation of large numericals using decimal number, between 1.0 and 10.0, which is then multiplied by a power of 10.

The distance between the earth and Mars = 4.01 x 100,000,000 kilometers.

There are 9 digits in 100,000,000,

Therefore to write the standard form of the given distance of 4.01 x 100,000,000 kilometers would be;

4.01 × 10^⁹ km.

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The given inequality in the graph is represented by the inequality y < x - 2. The correct option is C.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given that the graph is attached to the question and shows one of the inequalities from the options.

When the inequalities are plotted on the desmos graph it is observed that the inequality which represents the graph is y < x − 2.

Therefore, the given inequality in the graph is represented by the inequality y < x - 2. The correct option is C.

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Answer: 3/7

Step-by-step explanation:

1. We know that 2/4 + 2/4 is 1.
2. 1 can also be expressed as 7/7, because its easier to subtract 7/7 and 4/7 because they have the same denominator

3. 7/7-4/7=3/7

Answer:

3/7

Step-by-step explanation:

The exact distance Adam traveled was v miles is 334.488 miles.

What is distance ?

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance travelled between them are not the same. Distance traveled is the total length of the path traveled between two positions. Travel distance is not a vector.

Exact = 334.488 miles

Rounded, 72 × 5 = 360

There were 3 decimal places in the factors, so after multiplying all the digits, put a decimal point 3 places from the right.

Your estimate from the rounded numbers is supposed to help confirm a reasonable answer.

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Step-by-step explanation:

The answer is

[tex] \frac{1}{ab} [/tex]

because

[tex] \frac{1}{a(a + b)} + \frac{1}{b(a + b)} = \frac{1}{ab} [/tex]

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Answer:

107 degrees

Step-by-step explanation:

The four angles of a parallelogram add up to 360 degrees. Any two adjacent angles of a parallelogram add up to 180 degrees. So y is equal to 180 degrees minus 73 degrees, which is equal to 107 degrees.

The value of the given expression is 15% of $28 = (15×28)/100 = $4.2, 20% of $74 = (20×74)/100 = $14.8, 18% of $128 = (18×128)/100 = $23.04

What is an expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Here, we have

Given the following expression and we have to find the values of given expressions.

15% of $28 = (15×28)/100 = $4.2

20% of $74 = (20×74)/100 = $14.8

18% of $128 = (18×128)/100 = $23.04

Hence, the value of the given expression is 15% of $28 = (15×28)/100 = $4.2, 20% of $74 = (20×74)/100 = $14.8, 18% of $128 = (18×128)/100 = $23.04

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Answer:

d=24

Step-by-step explanation:

Answer:

  300%

Step-by-step explanation:

You want to know what percentage 15 is of 5.

A ratio or fraction is converted to a percentage by multiplying by 100%.

 [tex]\dfrac{15}{5}\times100\% = \boxed{300\%}[/tex]

15 is 300% of 5.