17. Identify the explicit formula for the arithmetic sequence 12, 14, 16, 18, . . . . options: A) f(n) = 12 + 2(n − 1) B) f(n) = 12 + 2(n + 1) C) f(n) = 2 + 12(n + 1) D) f(n) = 2 + 12(n − 1)

Answer:

[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle h = vt+\frac{1}{2}gt^2[/tex]

And we want to solve for g, the acceleration due to gravity.

Proceed with algebra:

[tex]\displaystyle \begin{aligned} h & = vt + \frac{1}{2}gt^2 \\ \\ h - vt & = \frac{1}{2}gt^2 \\ \\ gt^2& = 2(h-vt) \\ \\ g &= \frac{2(h-vt)}{t^2}\end{aligned}[/tex]

In conclusion:

[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]

Answer:

g = [tex]\frac{2(h - vt)}{t^2}[/tex]

Step-by-step explanation:

Given

h = vt + [tex]\frac{1}{2}[/tex] gt² ( subtract vt from both sides )

h - vt = [tex]\frac{1}{2}[/tex] gt² ( multiply both sides by 2 to clear the fraction )

2(h - vt) = gt² ( divide both sides by t² )

[tex]\frac{2(h-vt)}{t^2}[/tex] = g

Answer: D. Lower interest rates to allow businesses to borrow more money

Step-by-step explanation:

just took the test

To address a falling GDP, a government may lower interest rates to allow businesses to borrow more money.​ The correct option is A.

Real GDP (short for real GDP) is a macroeconomic measure of the value of economic output adjusted for price changes. This adjustment transforms the money-value measure, nominal GDP, into an index for the quantity of total output.

It is computed using the prices of a given base year. To calculate Real GDP, you must first determine how much GDP has been changed by inflation since the base year and then divide that amount by the number of years.

A government may lower interest rates to allow businesses to borrow more money in order to address a falling GDP.

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Answer: he burned 9912 calories all last month

Answer:

(2x⁴ + 3x² -7)

Step-by-step explanation:

Length is

It is to be divided by 3.

Note when dividing the polynomial by any value each of the terms is divides by same value:

Each piece is (2x⁴ + 3x² -7) meters long

Answer:

A (0,5)

Step-by-step explanation:

Look where both lines intersect.

Answer:

(0, 5)

Step-by-step explanation:

Answer:

a) Is multiplied by the original exponent.

Step-by-step explanation:

the power rule works like this:

you want to find the derivative of ax ⁿ

where n is the exponent and a is the coefficient

the derivative would equal (n ⋅ a)xⁿ⁻¹

e.g. you want to find the derivatives of 5x⁴

f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³

f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²

f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x

f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120

Answer:

Distributive Property.

Step-by-step explanation:

You distribute the 2 to each of the terms.

Answer:

four

Step-by-step explanation:

there are 4 1/6s in 2/3. 1/6 times four is 4/6. divide numerator and denominator by two to simplify, and you get 2/3. I hope this is correct :)

The number 1/6 s in the fraction 2/3 are 4.

The given fractions are 1/6 and 2/3.

Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.

Number of 1/6s are in 2/3

= 2/3 ÷ 1/6

= 2/3 × 6/1

= 4

Verification:

1/6 + 1/6 + 1/6 + 1/6

= 4/6

= 2/3

Therefore, the number 1/6 s in the fraction 2/3 are 4.

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is there any tutor available like a techer

Answer:

[tex]d_{T} = d_{A}-d_{S}[/tex]. The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.

Step-by-step explanation:

Let be [tex]d[/tex] the distance between a vehicle and sea level, [tex]d > 0[/tex] when vehicle is above sea level, otherwise is below sea level. The difference between airplane and submarine ([tex]d_{T}[/tex]), measured in feet, is obtained by the following expression, that is:

[tex]d_{T} = d_{A}-d_{S}[/tex]

Where:

[tex]d_{A}[/tex] - Distance of airplane with respect to sea level, measured in meters.

[tex]d_{S}[/tex] - Distance of submarine with respect to sea level, measured in meters.

If we know that [tex]d_{A} = 14690\,ft[/tex] and [tex]d_{S} = -521\,ft[/tex], then:

[tex]d_{T} = 14690\,ft - (-521\,ft)[/tex]

[tex]d_{T} = 15211\,ft.[/tex]

The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.

The algebraic equation represents the distance of the airplane with respect to the submarine is,

[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]

And the distance between the two elevations is 15,211 feet.

Given that,

An airplane flies at an altitude of 14,690 ft,

While a submarine is submerged at a depth of 521 feet below the surface of the ocean.

We have to determine,

What is the difference between these two elevations?

According to the question,

Let, x be the distance between a vehicle and sea level when the vehicle is above sea level, otherwise is below sea level.

The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine, measured in feet, is obtained by the following expression, that is:

[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]

Where [tex]\rm x_a[/tex] represents the distance of airplane with respect to sea levels.

And [tex]\rm x_s[/tex] represent the distance of the submarine with respect to sea levels.

Submerged at a depth of 521 feet below the surface of the ocean,

[tex]\rm x_s = -521 \ feet[/tex]

Therefore,

The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine is,

[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s\\\\ The \ difference \ between \ both \ elevation = 14,690-(-521)\\\\\rm The \ difference \ between \ both \ elevation = 15,211 \ feet[/tex]

Hence, The difference between these two elevations is 15,211 feet.

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Answer:

Rational number

Step-by-step explanation:

Rational numbers are defined as the quotient (division result) of two integers

Answer:

x = -4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x /2 −12=−14

1 /2 x+−12=−14

1/ 2 x−12=−14

Step 2: Add 12 to both sides.

1 /2 x−12+12=−14+12

1 /2 x=−2

Step 3: Multiply both sides by 2.

2*( 1 2 x)=(2)*(−2)

x = −4

Answer:

-1

Step-by-step explanation:

step 1: X/2-12=-14

step2 : X/2=-14+12

step3 : X/2=-2

step4 : X=-2/2

step5 : X=-1

Answer:

1/1000 or 0.001.

Step-by-step explanation:

10 ^-3

= 1/10^3

= 1/1000.

Answer:

m = -2 which is the slope

b = 2 which is the intercept of the line.

Step-by-step explanation:

We have that the line must pass through the following points (-9, -7). These two points are any two of the numerous points that pass through the straight line.  We can designate variables to each of these points as shown below

Let us take our [tex]y_1 = -7[/tex] and [tex]x_1 = -9[/tex]

Given the slope as [tex](y-y_1)/(x-x_1)=-2[/tex]

[tex](y--7)/(x--9) = -2[/tex]

[tex](y +7)/(x+9) =-2[/tex]

[tex]y +7 = -2(x+9)[/tex]

[tex]y =-2x+2[/tex]

We are given the form:  y=mx+b.

we can compare this with our equation for the line. [tex]y =-2x+2[/tex]

We can see that m = -2 which is the slope and b = 2 which is the intercept of the line.

9/26

2 8/9 = 26/9

Reciprocal of 16/9 is 9/26

I work part time at a jeweler, that necklace would be worth about 3.3K and then also you didn't provide what the effect is. Wouldn't the necklace remain as 54 grams?

Step-by-step explanation:

assuming cup of flower means 1 cup of flower

3+2+1=6

She has enough to make the three recipes and she has nothing left over

Answer: The speed of car B is 6.44 m/s

Step-by-step explanation:

Let's define:

Sa = Speed of car A.

Sb = Speed of car B.

I assume that at t = 0s, the position of car A is 0m (then at t = 0s, the position of car B is 174m)

Then we can write the positions of each car as:

Pa(t) = Sa*t

Pb(t) = Sb*t + 174m.

We also know that Sa = 2*Sb.

And we know that at t= 27s, car A passes car B.

Then at t = 27s, the positions of both cars must be the same:

Pa(27s) = Pb(27s)

Sa*27s = Sb*27s + 174m.

Now we can replace Sa by 2*Sb (from the above equation)

2*Sb*27s = Sb*27s + 174m

Now we can solve this for Sb.

2*Sb*27s - Sb*27s = 174m

Sb*27s = 174m

Sb = 174m/27s = 6.44m/s.

The speed of car B is 6.44 m/s

Answer:

30.4%

Step-by-step explanation:

Answer:

F(5) = 17, F(4) = -19

Step-by-step explanation:

F(5) = 4(5) - 3

F(5) = 20 - 3

F(5) = 17

F(4) = 4(-4) - 3

F(4) = -16 - 3

F(4) = -19

20,194+9,283 - 372 = 29,105

Answer:

Cierra & Fionna

Step-by-step explanation:

Anything 0 and above would represent someone passing or getting it spot on. The negatives mean below the average of other students.

Answer:

I dont know what to do... i know I keep bothering you, but you actually give me advice. My favorite advice youve given me was probably, so sus ;)

Step-by-step explanation:

That was an inside joke for anyone else who see this haha

Answer: x = {-1, -3, 2}

Step-by-step explanation:

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work (result in a remainder of zero).

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |  ↓    1      3     -2      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |  ↓    -1     -1     6      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

Answer:

P = 11,000(2)^t/11

Step-by-step explanation:

The formula is given as:

P = Po(2)^t/d

Where

Po = Initial population = 11,000

t = time in months

d = doubling time = 11 months

Hence,

P = 11,000(2)^t/11

Hence, the population of cats is given by the equation:

P = 11,000(2)^t/11

Answer: 1,55

Step-by-step explanation:

3/4 - (- 4/5) = 3/4 + 4/5 =  (3x5)/20  + (4x4)/20 = 15/20  +  16/20 =  31/20 = 1,55

3/4 - (- 4/5)  = 3/4  +  4/5 = 0,75 + 0.8 = 1,55