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3 years ago

Amanda can swim 25 yards in 30 seconds mckinly can swim 1000 yards in an hour who can swim faster

Mathematics

2 answers:

fiasKO [112]3 years ago

7 0

25 yards / 30 seconds = 50 yards / 1 minute

50 yards * 60 mins = 3000 yards / hour

Amanda swims 3000 yards in one hour

McKinly swims 1000 yards in one hour

Amanda can swim faster than Mckinly

RSB [31]3 years ago

3 0

Answer:

amanda

Step-by-step explanation:

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The geometric sequence a i a i a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 =8a, start subscr

frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0

3 years ago

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

Nata [24]

Answer: $5x-3y=44$

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

$(y-b)=\dfrac{d-b}{c-a}(x-a)$

Standard form of equation of line = $Ax+By=C$

Given points = (7, -3) and (4, -8)

Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

$(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)$

$(y+3)=\dfrac{-8+3}{-3}(x-7)$ [∵ (-)(-)=(+)]

$(y+3)=\dfrac{-5}{-3}(x-7)$

$(y+3)=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$9+35=5x-3y$

$44=5x-3y$

Or $5x-3y=44$

Hence, the required equation :- $5x-3y=44$

4 0

3 years ago

Abe real estate is developing 15 solar homes per states. If the cost of each home is estimated at 80,000 what’s the projected co

Soloha48 [4]

Answer:

the Total cost= 1,200,000*number of states

Step-by-step explanation:

Given the cost of each home is $80,000

The number of homes per state are 15

The Total cost of the project is = (Total number of houses per state) * (cost of each house) * (the number of states).

Therefore the total cost =15*80000*Number of states.=1,200,000*number of states

3 0

3 years ago

18 + 4.5m = 6m + 12 help plz

kherson [118]

M=4
first we take the 4.5 to the other side and we also take the 12 to other side so we get
1.5m=6
we divided each side we get m=4

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3 years ago

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Solve the equation 15x + 8 = y + 13 for x if y is 40. Make sure to first solve the equation for x in terms of y.

Nataly_w [17]

Answer:

Step-by-step explanation:

15x +8 =40 +13

15x + 8=53

15x=45

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3 years ago

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