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sveta [45]
3 years ago
15

Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.

Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

She will walk and run 148.2 miles in a year

Step-by-step explanation:

She walks: 0.75+0.5=1.25 miles each week

And: 1.25 *52=65 miles a year

She runs : 1.6 miles a week

And: 1.6*52 =83.2 miles a year

Total miles : 83.2+65=148.2 miles

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your friend gives you a hint by telling you that a tank is located 10 units from the origin. tanks can be positioned only at who
Aleks [24]

Answer:

(10,0), -(10,0) (0,10) and (0.-10)

Step-by-step explanation:

7 0
3 years ago
In a G.P the difference between the 1st and 5th term is 150, and the difference between the
liubo4ka [24]

Answer:

Either \displaystyle \frac{-1522}{\sqrt{41}} (approximately -238) or \displaystyle \frac{1522}{\sqrt{41}} (approximately 238.)

Step-by-step explanation:

Let a denote the first term of this geometric series, and let r denote the common ratio of this geometric series.

The first five terms of this series would be:

  • a,
  • a\cdot r,
  • a \cdot r^2,
  • a \cdot r^3,
  • a \cdot r^4.

First equation:

a\, r^4 - a = 150.

Second equation:

a\, r^3 - a\, r = 48.

Rewrite and simplify the first equation.

\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}.

Therefore, the first equation becomes:

a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150..

Similarly, rewrite and simplify the second equation:

\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}.

Therefore, the second equation becomes:

a\, r\, \left(r^2 - 1\right) = 48.

Take the quotient between these two equations:

\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}.

Simplify and solve for r:

\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}.

8\, r^2 - 25\, r + 8 = 0.

Either \displaystyle r = \frac{25 - 3\, \sqrt{41}}{16} or \displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}.

Assume that \displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}. Substitute back to either of the two original equations to show that \displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75.

Calculate the sum of the first five terms:

\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}.

Similarly, assume that \displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}. Substitute back to either of the two original equations to show that \displaystyle a = \frac{497\, \sqrt{41}}{41} - 75.

Calculate the sum of the first five terms:

\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}.

4 0
3 years ago
The sum of the squares of two positive integers is 208. If the square of the larger number
iris [78.8K]
I need a little bit more detail in order to answer your question properly
3 0
3 years ago
Question 1
ludmilkaskok [199]

Answer:

i8hjkdfghjkycxgigcftfiuyg

Step-by-step explanation:

dhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhdhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuyxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvdhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuyjkdhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuyhkdhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuyjcdhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhdhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuyjbgdhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuydhjbgjkhxcbvjkhkjcxbvm,chcxbvkuyjkhdhjbgjkhxcbvjkhkjcxbvm,chcxbvkuyxcbvjkhkjcxbvm,chcxbvkuyxbvm,chcxbvkuyihbxbv

7 0
2 years ago
During a spring clearance sale, Sears advertise 1/4 off the list of Model II microwave ovens and an additional 1/5 off the sale
ozzi

Answer:

$ 75.

Step-by-step explanation:

From the information above,

List price of model II = $240

Sale price of the clearance sale is 1/4 off the list price of Model II microwave oven and additional 1/5 of the sale price for oven that are scratched and dented.

Therefore,

Let the sale price be X,

= (1/4)*(list price) + (1/5)*X

X = (1/4)*(240) + (1/5)*X

X = 60 + (1/5)X

Solving for X,

X - (1/5)X = 60

(4/5)X = 60

X = (60*5)/4

= $75.

4 0
3 years ago
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