How many times larger is 6.255 x 10^10 than 1.5 × 10^8?
4.17
24.0
240
417

The standard form of the given linear equation y = (-2/3)x + 5 is 2x + 3y = 15.

The standard form of a linear expression is expressed as;

Ax + By = C

Where A and B are the coefficient of x and y respectively and C is the constant term.

Given the equation in the question;

y = (-2/3)x + 5

Multiply both sides by 3

y = (-2/3)x + 5

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

Apply distributive property

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

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

3y = -6/3x + 15

3y = -2x + 15

Now, move all terms containing variables to the left side of the equation

3y = -2x + 15
Add 2x to both sides

3y + 2x = -2x + 2x + 15

3y + 2x = 15

Reorder 3y and x

2x + 3y = 15

Therefore, the standard form of the given linear equation y = (-2/3)x + 5 is 2x + 3y = 15.

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Answer:

118 inches

Step-by-step explanation:

This is a conversion problem, so first we will need to change the yards to inches

3y=(3ft/1y)=9ft

9ft=(12in/1ft)=108in

add the 108 inches to the 10 inches

118 inches length

Answer: (2x+5)(2x-5)

Step-by-step explanation:

4x² - 25=

2²x² - 5²=

(2x)² - 5²=

(2x)(2x) - 5(5)=

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

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

The number of white tiles is 20 and the number of shaded tiles is 24

The ratio of white tiles to shaded tiles is given as 5:6

Total number of tiles = 44 tiles

Let x be the number of shaded tiles then the number of white tiles will be 44-x

Formualting the equation using the above variables we get:

Number of white tiles/Number of shaded tiles = Ratio of white tile/Ratio of shaded tile

= 44-x/x = 5/6

= 264-6x = 5x

= 264 = 11x

x = 24

Hence, the number of white tiles is 20 and the number of shaded tiles is 24

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The standard deviation of the sample number is 1.67.

According to the question we have been given a sample of 5 United states tourist.

We need to find the standard deviation of the sample. The formula for the standard deviation is given as :

                      [tex]\sigma[/tex] = √∑( xₙ - u)²/N

   where    σ = standard deviation

                 xₙ = each value of the sample

                 N = number of sample

                  u = mean

First the mean = (7+8+4+9+7)/5

                       =   7

∑( xₙ - u)² = (7 - 7)² + (8-7)² + (4-7)² + (9-7)²+ (7-7)²

                =  0² + 1² + (-3)² + 2² + 0²

                 = 1 + 9 + 4

                 = 14

Substituting the value sin the given formula we get

                σ = √(14/5)

                    = √2.8

                   = 1.67

Hence the standard deviation of the sample number is 1.67

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Answer:

1

Step-by-step explanation:

Summary. Currency value is determined by aggregate supply and demand. Supply and demand are influenced by a number of factors, including interest rates, inflation, capital flow, and money supply. The most common method to value currency is through exchange rates.

Answer: 84 mph   60 mph

Step-by-step explanation:

Let her average speed to home was x mph

Hence, the average speed to her parents was (x+24) mph

Thus:

Jessie spent for the trip to her parents' house: 385/x hours

Jessie spent for the trip to home: 385/(x+24) hours

[tex]\displaystyle\\\frac{385}{x} +\frac{385}{x+24} =11\\\\385(x+24)+385(x)=11(x)(x+24)\\\\385x+9240+385x=11x^2+264x\\\\770x+9240=11x^2+264x\\\\770x+9240-770x=11x^2+264x-770x\\\\9240=11x^2-506x\\\\9240-9240=11x^2-506x-9240\\\\0=11x^2-506x-9240\\\\Divide\ both\ parts\ of\ the \ equation\ by\ 11:\\\\0=x^2-46x-840[/tex]

[tex]\displaystyle.\\Thus,\\\\x^2-46x-840=0\\\\D=(-46)^2-4*1*(-840)\\\\D=2116+3360\\\\D=5476\\\\\sqrt{D} =\sqrt{5476} \\\\\sqrt{D}=74 \\\\x=\frac{466б74}{2*1} \\\\x=\frac{46-74}{2} \\\\=\frac{-28}{2} \\\\x=-14\notin(x > 0)\\\\x=\frac{46+74}{2}\\\\x=\frac{120}{2} \\\\x=60\ miles\ per\ hour[/tex]

[tex]60+24=84\ miles\ her\ hour[/tex]

Answer:The answer is 10/6 or 1 4/6 or 1 2/3.

Step-by-step explanation: you can do either one and it will be equal the same.

Step-by-step explanation:

The answer to the problem is as follows:

For a box with x chocolates, the cost of packaging is C(x) = x^2 and the

weight is W(x) = x + 2.

Thus the cost per unit weight is C(x) / W(x) = x^2 / (x + 2).

I hope my answer has come to your help. God bless and have a nice day ahead!

Answer:

d = 6

Step-by-step explanation:

-2 +3i+ 12i = 9i-(2-di)

-2 + 15i = 9i - 2 + di

-2 + 15i = -2 + 9i + di

6i = di

6 = d

Answer:

1. 12.54

2. 6.016

3. 0.162

4. 20.05

Step-by-step explanation:

Answer:

1. 12.54

2. 6.016

3. 0.162

4. 20.05

Explanation:

(I'm sorry if this sounds bad. I wrote it at two in the morning. you can go ahead and skip this if you want.)

It is common to discuss numbers when writing academic or professional documents.

It may be appropriate to spell out a number with a decimal if you're sharing statistics or explaining a mathematical concept.

Learning how to properly write decimals can help you create documents that meet expectations.

The proper way to convert worded forms into decimals:

Let's do an example.

Twenty-three and six-tenths,

We are given four numbers.

It is easy to see that Twenty-three equals 23.

But what about the decimal?

Decimals in worded form are always after "and," and they always have "th(s)" at the end, rather than what would appear there in regular numbered word form.

So, given "six-tenths," it is pretty simple.

Six-tenths=0.6

The reason for this is that the word "tenths," won't make it 0.16, because, in decimals, we always skip what would be oneths. The reason for this is; is that this only makes sense if there were "oneths," and dividing a "whole" into "oneths" resulted in the "whole"... So that spot was already taken.

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Answer:

-8

Step-by-step explanation:

Yes, it is rational. It's an integer.

According to the given data, It is Transformation of rotation by 180°.

Transformations are changes that appear in the shapes present on a coordinate plane by rotation, reflection or translation. A function, f, that maps to itself is called the transformation, that is if f = X → X'. This transformation can be any one of the translation, rotation, reflection, and dilation or the combination of operations like translation, rotation, reflection, and dilation. The translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirror image of the function, and dilation is the scaling of a function.

The transformation that rotates each point in the shape at a certain number of degrees around that point is called transformation of rotation. The shape rotates counter-clockwise when the degrees value is positive and it rotates clockwise when the degrees value is negative. The general rules for transformation of rotation about the origin are given below,

To rotate 90º: (x,y) → (-y, x)

To rotate 180º (x,y) → (-x,-y)

To rotate 270º (x,y) → (y, -x)

given data: preimage → image

                   R( -4, 3 ) changes to R'( 4,-3 )

                   S( -1, 3 ) changes to S'( 1, -3 )

                   T( -4, 1 ) changes to T'( 4,-1 )

As we can notice similar trend in the data given in the question like 180° rotation, Thus we can conclude that the coordinate rule and transformation is Transformation of rotation.

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Answer:

Areas under the curve

Step-by-step explanation:

The area under a curve on an interval [a, b] is the integral of the function computed in this interval :  [tex]A=\int _a^b|f\left(x\right)|dx[/tex]

(1) For [tex]f\left(x\right)=3\sqrt{x}[/tex] with [tex]a=1,\:b=4[/tex]

area [tex]=\int _1^4\left3\sqrt{x}\;dx[/tex] = [tex]3\cdot \int _1^4\sqrt{x}dx[/tex] =

[tex]\int \sqrt{x}[/tex] = [tex]\frac{2}{3}x^{\frac{3}{2}}[/tex]

[tex]3\cdot\frac{2}{3}x^{\frac{3}{2}}[/tex] = [tex]2x^{\frac{3}{2}}[/tex]

At [tex]x = 4,[/tex] we get [tex]2\cdot4^{\frac{3}{2}}[/tex] = [tex]2\cdot8 = 16[/tex]

At [tex]x = 1,[/tex] we get [tex]2\cdot1^{\frac{3}{2}}[/tex] = [tex]2.1 = 2[/tex]

So area under the curve for [tex]f(x) = \:3\sqrt{x}[/tex] in the interval [tex][1, 4] = 14[/tex]

(2) [tex]f\left(x\right)=x-\frac{2}{3}\\[/tex]

[tex]\int \:x-\frac{2}{3}dx[/tex] = [tex]\int \:xdx-\int \frac{2}{3}dx[/tex]  [tex]=\frac{x^2}{2}-\frac{2}{3}x[/tex]

[tex]\left[\frac{x^2}{2}\right]^{27}_1 = \frac{27^2}{2} - \frac{1}{2} = \frac{729}{2}-\frac{1}{2} = \frac{728}{2} = 364[/tex]

[tex]\left[\frac{2}{3}x\right]^{27}_1 = \frac{2}{3}\cdot \:27 - \frac{2}{3}\cdot \:1 = 18-\frac{2}{3} = \frac{52}{3}[/tex]

[tex]\int _1^{27}\left|x-\frac{2}{3}\right|dx = 364-\frac{52}{3} = \frac{1040}{3}[/tex]  (Answer)

The combined length of all the buttons longer than 1 inch is 2 3/8 inches.

It should be noted that from the information, we want to calculate the combined length of all the buttons longer than 1 inch.

This will be:

= 1 1/8 + 1 1/4

= 1 1/8 + 1 2/8

= 2 3/8 inches

Therefore, the combined length of all the buttons longer than 1 inch is 2 4/8 inches.

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The cost for a day at the amusement park as a function of the number of ride tickets purchased is y = 12 + 2.75x

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are:

Admission rate to the amusement park = $12

Cost of each ticket = $2.75

Let the number of tickets be x, and the total cost be y

So, the function can be represented as

y = Admission rate to the amusement park + Cost of each ticket * x

This gives

y = 12 + 2.75 * x

Evaluate the product

y = 12 + 2.75x

Hence, the cost for a day at the amusement park as a function of the number of ride tickets purchased is y = 12 + 2.75x

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Check the picture below.

notice, sides are equal, opposite sides are perpendicular to their counterparts.

Considering the variance of Z and the relation between Y and Z, the variance of Y is given by:

Var(Y) = 36.

The variance of a variable, or a data-set, is given by the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set, which is the number of values in the data-set.

Hence:

These two bullet points above can be resumed by the equation given as follows:

Var(aX + B) = a²Var(X).

Hence:

Var(3Z + 2) = 9Var(Z).

Hence the variance of Y is given as follows:

Var(Y) = Var(3Z + 2) = 9Var(Z) = 9 x 4 = 36.

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Step-by-step explanation:

log64 + log32 - log128

= log 2⁶ + log 2⁵ - log 2⁷

= 6log2 + 5log2 - 7log2

(sorry I can't continue from here... someone else can help...maybe?...sorrrrryyy)

Answer:

the tenth term is 100: 10,20,30,40,50,60,70,80,90,100

the fourth term is 12: 4,6,8,12

the third term is 1/2: 1/8,1/4,1/2

i really don't know how to explain. i don't know if i am correct but i tried

Answer:

she should estimate that 42 is 6.50. D. she should find the squares of numbers between 6.4 and 6.5

The Cost value of the car after 9 months is $55797.

According to the statement

We have to find that the value of the car after 9 months.

So, For this purpose, we know that the

The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.

From the given information:

If you buy a car for $65,076 and it depreciates linearly at a rate of 19% per year, what will be its value after 9 months

Then

The depreciates linearly at a rate of 19% per year

It means the 19% of the value of the car is a :

Value of the rate of the depreciates = 19/100*65,076

Value of the rate of the depreciates = 0.19*65,076

Value of the rate of the depreciates = 12364.44

Value of the rate of the depreciates = 12365

It is he value decreased in a 12 months

Then

The value decreased in one month = 12365 /12

The value decreased in one month = 1030.41

The value decreased in one month = 1031.

Then

The value decreased in 9 months = 1031*9

The value decreased in 9 months = 9279

Then

The remaining value of the car = 65,076 - 9279

The remaining value of the car = 55797

So, The Cost value of the car after 9 months is $55797.

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Answer:

4

Step-by-step explanation:

Given : g=72  and  h=4 

Then

[tex]\frac{g}{9} - h = \frac{72}{9} - 4[/tex]

        [tex]\large \text{= 8 - 4}[/tex]

        [tex]\large \text{= 4}[/tex]

A variable is a term used to express the unknown value or quantity.

A variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. It is used when we do not know the actual value of the number or the quantity.

For example: let x denote the number of hours taken by Sam to complete his work.

When we have to plot the variables on x- axis and y- axis, we see that which variables are independent variables and which of them are dependent variables.

The independent variables that are not influenced by the other factors that are given are plotted on the x- axis and the dependent variable which changes due to the change in independent variable are plotted on the y- axis.

Therefore, a variable is a term used to express the unknown value or quantity.

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Answer:

        1

 - 1 -------

        5

Step-by-step explanation:

   3           3

1 ------ × - -------

   5           4

   8           3

 ------ × - -------

   5           4

   8(4)     3(5)

 ------ × - -------

   5(4)     4(5)

   32       15

 ------ × - -------

   20        20

--------------------------------------------------------

32 × (-15) = -480

20 × 20 = 400

--------------------------------------------------------

   480 ÷ 80

- -------

  400 ÷ 80

   6                  1

- ------- or  - 1 -------

   5                  5

I hope this helps!

Answer:

Step-by-step explanation:

4.3 +5 3/5

4 30/100+ 5 3/5

4 3/10 + 5 3/5

4 3/10 + 5 6/10

9 9/10

Does this help if you have any questions about this question or others I’d be happy to help