please help the question is in the image

Answer:

f = g - an

Step-by-step explanation:

f + an = g

To isolate f, we need to do inverse (opposite) operation for an.

The opposite of +an is -an

f = g - an

Hope this helps :)

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The distance between Earth and Mars in the standard form is               43, 500, 000 miles.

The correct answer is an option (C)

In this question we have been given the distance between Earth and Mars.

The distance between Earth and Mars is approximately 4.35 × 10^7 miles.

We need to write above distance between Earth and Mars in the standard form.

So, we get an expression,

4.35 × 10^7 miles

= 435 × 10^5 miles

= 435 × 100, 000 miles

= 43, 500, 000 miles

Therefore, the distance between Earth and Mars in the standard form is 43, 500, 000 miles.

The correct answer is an option (C)

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Measures of central tendency assist in the discovery of a data set's middle, or average. The mean is the only set of measurements that will have to recalculate.

Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.

Given that Mrs. temple has just finished grading a quiz for a class of 26 students and has calculated measures of center and spread on the scores. Now, if she made a mistake, the highest grade should be 10 points higher. Therefore, there will be no change in the median because the median is measured by the center value or is affected by the center value.

Also, the mode will not change because it is the most common value in a given data set. Therefore, the one that is repeating a lot of time.

Further, the only value that will change is the mean, because it is the sum of the observations divided by the number of observations, now since the sum is changed, therefore, the mean will be changed.

Hence, the mean is the only set of measurements that will have to recalculate.

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Answer:

y = 3 x - 9

Step-by-step explanation:

Find the equation of the line in slope-intercept form with the properties:

point: p_1 = (5, 6)

point: p_2 = (6, 9)

The slope of the line through points (x_1, y_1) and (x_2, y_2) is m = (y_2 - y_1)/(x_2 - x_1):

m = (9 - 6)/(6 - 5) = 3

Substitute the slope m = 3 and point (x_1, y_1) = (5, 6) into the point-slope equation y - y_1 = m (x - x_1):

y - 6 = 3 (x - 5)

Add 6 to both sides:

y = 6 + 3 (x - 5)

Distribute: 3 (x - 5) = 3 x - 15:

Answer: y = 3 x - 9

Answer:

sorry if wrong again but for a put (r+y) (a+b)

for b put (pq-[tex]r^{2}[/tex]) x (9-1)

Step-by-step explanation:

Answer:

12p − 33q + 16

Step-by-step explanation:

Let's simplify step-by-step.

12(p+5)−11(3q+4)

Distribute:

=(12)(p)+(12)(5)+(−11)(3q)+(−11)(4)

=12p+60+−33q+−44

Combine Like Terms:

=12p+60+−33q+−44

=(12p)+(−33q)+(60+−44)

=12p+−33q+16

=12p−33q+16

In order for f(x) to be a linear function, determine the value of k in the data set.

x = {-7, -2, 2, 5}

f(x) = {-15, k, 3, 9}

The value of k is {-5}.

Given that to find the value of k in the data set such that the data set represents a linear function.

Linear Function is a straight line on the coordinate plane is represented by a linear function. The formula for a linear function is f(x) = mx + b, where m and b are real values.

Here, f(x) or y is the dependent variable, m is a slope of the line, x is the independent variable and b is the y-intercept.

Here,(x,f(x)) are {(-7,-15),(-2,k),(2,3),(5,9)}

The slope of the function,

(x, f(x)) = (2,3) and (5,9)

Slope formula is m=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Slope m= [tex]\frac{9-3 }{5-2}[/tex]

Slope m=[tex]\frac{6}{3}[/tex]

Slope m=2.

Using the point slope form, determine the linear function's equation.

[tex]y-y_{1} =m(x-x_{1})[/tex]

Here, [tex](x_{1},y_{1})=(-7,-15)[/tex] and m=2

We get

y + 15 = 2 (x + 7)

y = 2x - 1

Now at x = -2 and f(x) = k

k = 2(-2) - 1

k = -4-1

k=-5

Therefore, the value of k is -5.

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The cost of 45 blank CD's will be equal to $ 14.85.

It is given that 15 blank CD's costs $5.

We have to find out what will be the cost of 45 blank CD's.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Cost of 15 blank CD's = $5

So ;

The cost of 1 blank CD will be ;

= 5 ÷ 15

= $ 0.33

And

The cost of 45 blank CD's will be ;

= 45 × $0.33

= $ 14.85

Thus , the cost of 45 blank CD's will be equal to $ 14.85.

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Answer:

10 and 1/2 for the first, and 3 and 3/4 for the second

Step-by-step explanation:

Answer:

is B espero que esto te ayude yo también estoy nececicando ayuda con mis trabajos

According to Dr. Aguilera's findings, excessive levels of anxiety are associated with poor academic performance. Sleep duration, on the other hand, is unrelated to excellent or poor academic performance.

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Answer: B(4,-4)

Step-by-step explanation:

M(3,0)     A(2,4)     B(x,y)=?

[tex]\displaystyle\\x_M=\frac{x_A+x_B}{2} \\\\Multiply\ both\ parts\ of\ the\ equation\ by \ 2:\\2x_M=x_A+x_B\\2x_M-x_A=x_A+x_B-x_A\\2x_M-x_A=x_B\\x_M=3\ \ \ \ \ x_A=2\\Hence,\\2*3-2=x_B\\6-2=x_B\\4=x_B\\Similarly:\\2y_M-y_A=y_B\\y_m=0\ \ \ \ \ y_A=4\\Hence,\\2*0-4=y_B\\0-4=y_B\\-4=y_B\\Thus,\ B(4,-4)[/tex]

Answer:

Step-by-step explanation:

From the arc length given radius yielded is 22.91 cm.

What is the arc length?

The primary angle:

40°

Arc size

20 cm

Recall the arc length formula.

[tex]l=(\frac{Theta}{360} )*(2\pi r)[/tex]

Inserting the values:

20 =[tex]\frac{40}{360} *(2\pi r)[/tex]

[tex]r=\frac{36(20)}{10\pi }[/tex]

=72/π

=22.918cm the radius is.

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The current price of the item = 400 dollars

The price in 8 years from today = 543.23 dollars

Given the rate of inflation = 3.9%

The exponential function modelling the future price, p(t) in t years for a certain item is, [tex]p(t)=400(1.039^t)[/tex]

We have to find the current price of the item. This is given by substituting t = 0 in p(t).

That is, p(0) = 400 x 1 = 400 dollars

Therefore current price = 400 dollars

To find the price of the product in 8 years, substitute t = 8 in p(t).

That is, p(8) = [tex]400(1.039^8)[/tex] = 543.23 dollars

Therefore, the future price of the item in 8 years = 543.23 dollars

The question is incomplete. Find out the complete question below:

If the rate of inflation is 3.9% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today. p(t)= 400(1.039^t).Find the current price of the item and the price 8 years from today.

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Answer:

18, 20 and 22.

Step-by-step explanation:

Let the lowest number be n, then:

n + n + 2 + n + 4 = 60

3n + 6 = 60

3n = 54

n = 18.

So the other 2 are 20 and 22.

the correct value for x is -1.2, 2.2

Given 5 | 2x - 1 | + 20 = 3

Modulus of a  number

The modulus or absolute value, of a number, denoted |x+y| is calculated as

|x + y | =1

x + y   = ±1

We need to solve for the value of x

5 | 2x - 1 | = 3 - 20

5 | 2x - 1 | = -17

| 2x - 1 | = - 17 / 5

| 2x - 1 | = - 3.4

2x - 1 = ± (- 3.4)

2x - 1 = -3.4            2x -1 = 3.4

2x = - 3.4 + 1           2x = 3.4 + 1

2x = - 2.4                2x = 4.4

x = - 1.2                     x = 2.2

Therefore, the value for x is -1.2, 2.2

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The statement "the difference between cross-sectional and time series data is whether the data is evaluated at a single point in time or multiple factors in time" is true.

The distinction between cross-sectional data and time-series data is that time-series data takes into account the identical variables over a period of time, whereas cross-sectional data makes use of specific records for a specific factor in time.

A data set may be both time series and cross sectional.

When the records of go sectional records is regressed, the defined and explanatory variables are all related to the identical single length or point in time.

Time-series and cross-section (TSCS) data collectively are normally analyzed in political technology and associated disciplines.

Therefore, the statement "the difference between cross sectional and time series data is whether the data is evaluated at a single point in time or multiple factors in time" is true.

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Applying the rule of modulus for given values, the expression will result to 20.

The modulus of a value for example |a|=a if a is greater than or equal to zero

and also

|a|=-a if a is less than zero

In the expression given; the modulus of -6 written as

|-6|=-(-6) this is because the value is less than zero

The modulus of 2 written as; |2|=2 this is because the value is greater than zero. and;

|The modulus of -14 written as; |-14|= -(-14) since the value is less than zero.

Hence, we can rewrite the expression as;

we deal with multiplication first following the rules of BODMAS

2×-(-6)-3×2+[-(-14)]

2×6-6+14

and thus adding values

12+14-6

and finally we subtract;

26-6

which will results to the solution of 20.

Step-by-step explanation:

[tex] \sqrt{} 4(m - 1) ^{2} = \sqrt{} 4 [/tex]

Answer:

4(m-1)^2=4

(2(m-1))^2=2^2

2(m-1)=2

2m-2=2

2m=4

m=2

1) The time taken is 2.47 s

2) The time taken is 21.4 s

3) The time taken is 1.2 s

4) The time taken is 81 s

5) The time taken is 5.7 s

Using the equation of kinematics under gravity we knw that;

h = ut + 1/2 gt^2

h = height from which it fell

u = initial velocity

g = acceleration due to gravity

t = time taken

Given the fact that the objects were dropped from a height u = 0 m/s

h = 1/2 gt^2

t = √2h/g

1) √2 * 30/9.8

t =2.47 s

2) t = √2 * 2250/9.8

t = 21.4 s

3)  t = √2 * 7/9.8

t = 1.2 s

4) t = √2 * 32000/9.8

t = 81 s

5)  t = √2 * 160/9.8

t = 5.7 s

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The percentage of error in Pansy's measurement is 14.67%

In the given statement is :

Pansy measured the height of a window frame as 5.12 feet, but the actual height was 6 feet.

We know that

Percentage error can be calculated using the formula: (what was measured - the actual measurement) / actual measurement × 100%.

Thus:

The height that was measured = 5.12 feet

Actual measurement of the height = 6 feet

Percentage error = (6 - 5.12) / 6 × 100

Percentage error = 14.67

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According to given conditions, m+n is equal to 409.

Consider the diagram below.

In the hexagon ABCDEF, let

AB = BC = CD = 3;

DE = EF = FA = 5;

Arc BAF is equal to one-third of the circle's circumference.

Hence, ∠BCF = ∠BEF = 60°;

Similarly, ∠CBE = ∠CFE = 60°;

Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.

∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.

Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.

∴ Δ ABQ is similar to Δ EDQ

[tex]\frac{AQ}{EQ} = \frac{BQ}{DQ} = \frac{AB}{ED} = \frac{3}{5}[/tex]

Also,

[tex]\frac{\frac{AD - PQ}{2} }{PQ + 5} = \frac{3}{5}[/tex]  

and [tex]\frac{3 - PQ}{\frac{AD + PQ}{2} } = \frac{3}{5}[/tex]

On solving these simultaneous equations, we get AD = 360/49

∴ m + n = 409.

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Answer:

4/8, 4/6, 3/4

Step-by-step explanation:

3/4 = 18/24

4/6 = 16/24

4/8 = 12/24

18>16>12

Answer: x=-1/7

Step-by-step explanation:

11-10x-7-4x=6

11-7-10x-4x=6

4-14x=6

-14x=2

x=-1/7

Answer:

k= 7

Step-by-step explanation:

First let's add like terms: a+b+a=c: a²+b=c

k+9+5=21

k+14=21

Subtract 14 from both sides of the equation

k+14-14=21-14

K=7

Hi!

[tex]\tt{9+k+5=21}[/tex]

Step 1: Combine like terms.

[tex]\tt{9+5+k=21}[/tex]

[tex]\tt{14+k=21}[/tex]

Step 2: Subtract 14 from both sides.

[tex]\tt{k=7}[/tex] [tex]\checkmark[/tex]

Have a great day!

Hope that helps. :)

-Stargazing & daydreaming -

Answer:

Step-by-step explanation:

During those 2 hours 24 more seagulls arrived.

Answer:

it is 12 seagulls per hour

Step-by-step explanation:

Answer:

-125z³

Step-by-step explanation:

cube each value

(-)³x(5)³x(z)³

negative sign multiplied by three is negative

- x - x - = -

5 x 5 x 5 = 125

z x z x z = z³

answer = -125z³

Answer:

D. (A U C) ∩ B

Step-by-step explanation:

12.

A = {-2, -1, 0, 1}

B = {0, 1, 2, 3}

C = {-2, 0, 2, 4}

A. A U B = {-2, 1, 0 , 1, 2, 3}

B. A U (C ∩ B} = A U {0, 2} = {2, 1, 0, 1, 2}

C. B ∩ C = {0, 2}

D. (A U C) ∩ B = {-2, -1, 0, 1, 2, 4} ∩ {0, 1, 2, 3} = {0, 1, 2}