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3 years ago

John rented a bike from carlos' bikes it costs $19 plus $4 per hour if john paid $35 how many hours did he rent the bike

1 answer:

4 0

You can write this as an equation. P(price) = 4h(hours) +19. We know that P=35. If you plug it in, 35 = 4h +19. Subtract both sides by 19 to get 16 = 4h. Divide both sides by 4, and you get 4 = h, or the amount of hours, John rented the bike.

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1.50μm2. Convert this to square meters.

marishachu [46]

<span>As we know that 1 µm = 10^-6 m On squaring both sides 1 µm2 = 10^-6 x10^-6 m2 1 µm2 = 10^-12 m2</span>

3 0

3 years ago

Find the sum of the convergent series 7 0.7 0.007

mafiozo [28]

$7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)$

Let $S_n$ denote the $n$ th partial sum of the series, i.e.

$S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}$

Then

$\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}$

and subtracting from $S_n$ we get

$S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}$
$\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)$

As $n\to\infty$ , the exponential term vanishes, leaving us with

$\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9$

and so

$7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9$

3 0

3 years ago

The cheerleader section is on the basketball court. Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards. How man

Lady_Fox [76]

Answer:

The area of the floor space is equal to 5.83 sq yards.

Step-by-step explanation:

Given that,

Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards.

We need to find how many square yards of floor space are taken up by one row of cheerleaders.

We know that, the area of a rectangle is given by :

A = lb

So,

$A=\dfrac{7}{4}\times \dfrac{10}{3}\\\\A=5.83\ yards^2$

So, the area of the floor space is equal to 5.83 sq yards.

5 0

3 years ago

Rewrite f(x) = 2(x − 1)2 + 3 from vertex form to standard form. (2 points)

Ostrovityanka [42]

Answer:

F(x)= 4x-1 I think so hope it will help you

7 0

2 years ago

What is the sum of the first 47 terms of the sequence? -215, -201, -187, -173, ...

Andru [333]

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

= [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

= [ (2 × - 215) + (46 × 14) ]

= 23.5 (- 430 + 644)

= 23.5 × 214

= 5029

6 0

2 years ago