Find a formula for the general term a n of the sequence assuming the pattern of the first few terms continues. { 8 , 6 , 4 , 2 , 0 , ... } Assume the first term is a 1

In a case whereby Apollo Spas services 298 hot tubs and each hot tub needs 175 mL of muriatic acid,number of liters of acid that are needed for all of the hot tubs is 52.15 litres.

The unit conversion can be described as the changing of bone unit to another.

We can calculate the number of liters of acid that are needed as (298 * 175)= 52150ml

This can be converted to liter by dividing  52150ml by 1000 which  can be done as (52150ml/1000) = 52.15 litres of acid.

Therefore, the  liters of acid are needed for all of the hot tubs can be expressed as the 52.15 litres

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Answer:

Step-by-step explanation:

the answer is 0.4465 or if needed to be rounded then 0.45

Answer:

ABM is 60; DBC is 60; CBM is 120; HGF is 120; EFM is 120

Step-by-step explanation:

Answer:

a=(9580c-8-9h)/5d

Step-by-step explanation:

9hm+5dam+8m+3cm=9583cm

Subtract (9hm+8m+3cm) from both sides

5dam=9580mc-8m-9mh simplify

then divide both sides by 5dm

a=(9580c-8-9h)/5d

THIS QUESTION IS VERY UNCLEAR SO I JUST SOLVED FOR A

Answer:

y = (7/4)x + 2

Step-by-step explanation:

(-4, -5) and (0, 2)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 2 - (-5) 2 + 5 7

m = ------------- = ------------- = ------------- = --------

x₂ - x₁ 0 - (-4) 0 + 4 4

(it doesn't matter which points you put)

y - y₁ = m(x - x₁)

y - 2 = (7/4)(x - 0)

y - 2 = (7/4)x - 0

+2 +2

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

y = (7/4)x + 2

I hope this helps!

Answer:

Slope-intercept form is given as y = mx + c where m is the slope and c is the y-intercept.

Since slope = 2, equation is y = 2x + c.

Substitute (-1,2) into the equation to find c.

2 = 2(-1) + c

c = 4

Hence, equation is y = 2x + 4

Answer:

Yquandary dinglegrt

Step-by-step explanation:

go and minijrir

18) x+8 or 8+x

19) x-10

20) x+3=10

22)4>6t or 6t<4

23)4s[tex]\geq[/tex]70+5

iven: ²

equired:

xplanation:

Since the graph is translated vertically downwards by 3 units, so the function f(x) is

Hence, the function is

inal Answer

⇒Plug in places the given values in the expression x-2c and simplify

given that x=3 and c =-3

⇒[tex]=(3)-2(-3)\\=3+6\\=9[/tex]

The expression evaluated at the given variables is equal to 9.

Answer:

Step-by-step explanation:

Area of the rhombus in terms of given diagonals:

Plug in the values and calculate:

Rewrite the limit as

[tex]\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = \lim_{x\to0} \frac{5x}{\sin(5x)} \cdot \lim_{x\to0} \frac{\cos(5x)}5[/tex]

Then using the known limit,

[tex]\displaystyle \lim_{x\to0} \frac{\sin(x)}x = 1 \implies \frac1{\lim\limits_{x\to0}\frac{\sin(x)}x} = \lim_{x\to0}\frac x{\sin(x)}=1[/tex]

it follows that

[tex]\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = 1 \cdot \frac{\cos(0)}5 = \boxed{\frac15}[/tex]

a) quotient = 23 and remainder = 14

b)  quotient = 28 and remainder = 12.

c) quotient = 20 and remainder = 10.

a) Here in the first question we have to divide 405 by 17.

405 is not completely divisible by 17.

So when we divide 405 by 17 we get 23 as quotient and 14 as remainder.

we can cross check this by the formula;

Dividend= Divisor × Quotient + Remainder.

So in here the dividend is 405 and the divisor is 17 which when multiplied by the quotient 23 and added by the remainder that is 14 gives us 405.

Thus quotient = 23 and remainder = 14

b) Here dividend = 656 and divisor = 23

Thus when we divide 656 by 23 we get:

we get quotient as 28 and remainder as 12.

c) Given dividend is 1990 and divisor is 98.

Thus we divide 1990 by 98 we get:

Quotient = 20 and remainder = 10.

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Answer:

The answer to your question is A "In an Old House"  I hope this helps

Sorry if I am wrong

Answer: It would be "In an Old House"

Step-by-step explanation:

Using the normal distribution, the upper boundary, in inches, of a symmetric and centered interval of the sample averages with n = 167 that are within 0.92 standard deviation s of the mean is of:

67.21 inches.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering samples of 167, with the mean and standard deviation of the population given in the problem, the parameters are given as follows:

[tex]\mu = 66.9, \sigma = 4.33, n = 167, s = \frac{4.33}{\sqrt{167}} = 0.335[/tex]

The desired height is X when Z = 0.92, because it is 0.92 standard deviations from the mean and we want the upper limit, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

0.92 = (X - 66.9)/0.335

X - 66.9 = 0.92 x 0.335

X = 67.21 inches.

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Answer:

b

Step-by-step explanation:

x + 5y = 4x - 3y ( subtract 4x from both sides )

- 3x + 5y = - 3y ( subtract 5y from both sides )

- 3x = - 8y ( multiply both sides by - 1 )

3x = 8y → b

The equation of the line that has the given features is y = -1/3x - 4

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

From the question, the given parameters are

Slope, m = -2

y-intercept, c = 9

As a general rule:

A linear equation is represented as

y = slope * x + y-intercept

This can be rewritten as

y = mx + c

Next, we substitute the known values in the above equation

So, we have the following equation

y = -2x + 9

The above equation cannot be further simplified

So, we have

y = -2x + 9

However, it can also be expressed as

y = 9 - 2x

Hence. the linear equation is y = -1/3x - 4

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Possible question

What is the equation of a linear equation that has the following features

Y-intercept 9 and slop -2

The measure of the vertically opposite angle ∠A = 136°

From the given question;

∠A and ∠B are vertical angles.

Thus, ∠A = ∠B

The values are given as;

∠A = (2x +26)°

∠B = (3x − 29)°

Equating both;

(2x +26)°  =  (3x − 29)°

Simplyfying;

2x + 26 = 3x − 29

3x - 2x = 26 + 29

x = 55

Put the value of x in ∠A = (2x +26)°

∠A = (2x +26)° = 2x55 +26

∠A = 136°

Thus, the measure of the vertical angle ∠A = 136°.

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Answer:

A: Reflection over the y-axis

B: Translation 3 right

C: Translation 4 down

D: Reflection over the x-axis

Step-by-step explanation:

A: This is a reflection over the y axis because we can tell it has been flipped to the other side, vertically.

B: Count the spaces between the two 'P's, getting 3 to the right. This is not a reflection because it is facing the same way.

C: Count the spaces between the two 'P's, getting 4 down. Again, this is not a reflection because it is facing the same way.

D. This is a reflection over the x axis because we can tell it has been flipped to the other side, horizontally.

Hope it helps!

Answer:

a) 16

Step-by-step explanation:

[tex]x^{2} =(-4)^{2} =(-4)(-4)=16[/tex]

Hope this helps

The interpretation of the transformation of the given functions are;

f([tex]x + \frac{1}{4}[/tex]) means translated by 1/4 units to the left.

f(x) + 1/4 means that f(x) is translated by 1/4 units upwards

There are different ways of function transformations such as translation, reflection, dilation, compression e.t.c

Now, the function written can be said to translated by 1/4 units to the left . This is because when we translate a function by say "a" units to the left, we are simply going to add a units to the x - variable.

To translate a graph upwards, it simply means we will add the number of units to the function; for example, f (x) + 3 moves the graph of the function f (x) upward by 3 units.

Thus, the given function f(x) + 1/4 means f(x) is translated by 1/4 units upwards

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Set A ={q, g, c, z, b}

What is a Venn diagram?

What is a roaster form?

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The addition of 45 + 90 using the greatest common factor is 45(1 + 2) = 135

From the information, it should be noted that Claude uses the greatest common factor and the distributive property to write the sum of 45 + 90.

It should be noted that the greatest common factor between 45 and 90 is 45.

This will be illustrated as:

45 + 90 = 45(1 + 2)

= 45 + 90

= 135

Therefore, the addition is 135.

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2(3/4L-1) + 2(18) = 2L + 2(12)

Distribute

3/2 L -2 +36 = 2L +24

Subtract 3/2 L from each side

-3/2 L-3/2L

-2+36 = 4/2L-3/2L +24

34 = 1/2L +24

Subtract 24 from each side

34-24 = 1/2 L +24-24

10 = 1/2L

Multiply each side by 2

10*2 =1/2L * 2

20 = L

Answer:

x = 3

Pls, choose me as brainliest!

Answer:

1062 would be 1000 because if you are rounding anything less than 5 is 0 and everything behind it is 0

Shop work on the customer's computer for 5.5 hours.

Given,

Charge is flat fee of $ 10.95

and, then $24.50 per hour.

And, to find the number of hours if customer paid $147.90.

Now, According to the question:

Let shop work on computer for x hours .

Then, Amount paid = 10.95 + 24.90x

So, if customer paid $147.90

then, 147.90 = 10.95 + 24.90x

24.90x = 147.90 - 10.95

24.90x = 136.95

x = 136.95/ 24.90

x = 5.5

Hence, Shop work on the customer's computer for 5.5 hours.

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Answer:

180

Step-by-step explanation:

120ft/30sec=4sec per ft

45-30=15

4(15)=60

120+60=180

The line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.

Let's proceed to find the equation of the line.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Using the slope-intercept formula, the equation of the line is:

y = mx + b

where,

m = the slope of the line

b = y-intercept of the line

(x, y) represent every point on the line

x and y have to be kept as the variables while applying the above formula.

2x-2y = -4

-2y = -4-2x

y = -4/-2 - 2x/-2

y = 2+x

y = x+2

On comparing with y = mx+b

m = 1 and b = 2

As the lines are parallel then the slope of other line will also be same i.e., m = 1

The point from which it is passes is (3,9)

⇒ x₁ = 3 and y₁ = 9

y-y₁ = m(x-x₁)

⇒ y-9 = 1(x-3)

⇒ y-9 = x-3

⇒ y = x-3+9

⇒ y = x+6

⇒ x-y = -6

Therefore, the line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Hence, x-y = -6 is the required answer.

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