write ____ as a single power of 3

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:

105

Step-by-step explanation:

The rectangle is 84 and the triangle is 21.

84 + 21 = 105

Answer:

105

Step-by-step explanation:

84 + 21 = 105

Answer:

4/7

Step-by-step explanation:

[tex]1 \frac{3}{4}=\frac{7}{4}[/tex]

So, the reciprocal is 4/7.

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!

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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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:

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]

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

The whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.

It follows from the task content that the use of compatible numbers is to be used to estimate the whole number quotients 5320/61.

On this note, since the numbers can be written as follows;

= (53.2 × 100)/(0.61 × 100)

= 53.2/0.61

The estimate can therefore be determined by evaluating;

= 53/0.6

= 88 remainder 1.

Therefore, the closest estimate of the whole number quotients 5320/61 as given in the task content is; 88.

Ultimately, the whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.

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The MAD is the 5.5 mentions if the reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.

A dot plot also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.

It is given that:

A reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.

From the graph:

The MAD of the data:

= [(3+4+7+8) + 3(5+6)]/(4 + 2x3)

After simplification:

= 55/10

= 5.5 mentions

Thus, the MAD is the 5.5 mentions if the reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.

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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)

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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The stems that the data fall are 1,2, and 3.

Using a stems and leaf plot, each data value in a series is represented by the stem as the first digit (digits) and the leaf as the last digit (digits).

Since all of the data values in the provided table contain two digits, we must locate the highest and smallest number at the tenth position in the data series in order to plot stems.

The Data series is:

19, 18, 23, 24, 31, 32, 16

The smallest number in tenth place = 1

The largest number at tenth  place = 3

So the stems used to plot the data are 1, 2, and 3.

Stem-leaf plot is shown in table 1 below:

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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.

1. The amount that Avery contributed at the end of 20 years was $36,000.

2. Since the balance at the end of 20 years was $34,019, which is less than Avery's total contribution of $36,000, Avery withdrew both the interest earned and portions of the contributions during the period.

The future value is the value of the monthly deposits compounded at the interest rate.

The future value can be determined using an online finance calculator as follows.

Monthly deposits = $150

Interest rate = 2.99%

Period = 240 months (20 years x 12)

Balance at the end of 20 years = $34,019

Sum of all monthly contributions = $36,000 (240 x $150)

Total Interest = $13,191.54

Future Value = $49,191.54 ($36,000 + $13,191.54)

Actual value after 20 years = $34,019.00

End-of-Period Withdrawals = $15,172.54 ($49,191.54 - $34,019.00)

Thus, the amount Avery contributed for 20 years was $36,000.

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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]

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:

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)

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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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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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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Answer:

-8

Step-by-step explanation:

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

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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If Singer B took in ​$29 million less than Singer​ A, it means that Singer A generates $236 million and singer B generates $207 million in tickets sale

How much does singer A takes in ticket sales?

The fact that singer B generated $29 million less than singer A means that if singer A generates x million , singer B would generate (x-29) million in tickets sales

singers A's earnings=x

singer B's earnings=x-29

total earnings=x+x-29

total earnings=2x-29

total earnings=443

443=2x-29

443+29=2x

472=2x

x=472/2

x=236

singer B's earnings=236-29

singer B's earnings=207

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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:

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