The sum of the ages of Quinn and Tiana is 117 years. 11 years ago, Quinn's age was 4 times Tiana's age. How old is Quinn now?

A frog sits at one end of a table which is 2m long. In its first jump the frog goes a distance of 1m along the table, with its s

Phantasy [73]

Ah, this is an infinite sum question, or a sum of geometric sequence
when will the sum reach 1cm of the edge or about 1.99m
so

2m=200cm
within 1cm means at least 1.99m
so
we will use m and not cm for consitancy

sum of geometric sequence is
$S_n= \frac{a_1(1-r^n)}{1-r}$
a1=first term=initial jjump=1
r=common ratio=1/2
n=?, we ar solving for that

so
we want it to equal 1.99 so

$1.99= \frac{1(1- (\frac{1}{2})^n)}{1-\frac{1}{2}}$
$1.99= \frac{(1- (\frac{1}{2})^n)}{\frac{1}{2}}$
$1.99= 2(1- (\frac{1}{2})^n)$
divide both sides by 2
$\frac{1.99}{2} = 1- (\frac{1}{2})^n$
times -1
$\frac{-1.99}{2} = (\frac{1}{2})^n-1$
add 1 or 2/2 to both sides
$\frac{0.01}{2} = (\frac{1}{2})^n$
take the ln of both sides
$ln(\frac{0.01}{2}) = ln((\frac{1}{2})^n)$
$ln(\frac{0.01}{2}) = n ln(\frac{1}{2})$
divide both sides by ln(1/2)
$\frac{ln(\frac{0.01}{2})}{ln(\frac{1}{2})} =n$
use your calculatro to find that n≈7.64386
so on 7th jump, it is not yet at 1cm to the edge but at 8th jump, it is past
so 8th jump

7 0

4 years ago

Trey has plastic cubes stored in a box that measures 4 ft long, 2 1/2 ft wide, and 2 ft tall. The edge length of each plastic cu

iVinArrow [24]

Your answer is 160 i had this on a test hope this helps

4 0

3 years ago

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The divisor of 0.004 is almost zero. What does this tell you about the quotient?

nasty-shy [4]

Answer:

Its magnitude will be larger than 0.004.

Step-by-step explanation:

When a divisor is less than 1, the quotient will be greater than the dividend.

When the divisor is "almost zero", the quotient will be much greater than the dividend. Here, the dividend may be considered to be "almost zero", so we cannot say anything about the actual quotient except to say its magnitude will be greater than the dividend.

_____

The dividend is positive, so the quotient will have the same sign as the divisor. (Negative divisors can be "almost zero," too.)

3 0

3 years ago

141/56 as a mixed number

elixir [45]

I believe its 2 and 1/2

I'm so sorry if its not but I would guess it is :)

6 0

4 years ago

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Need help please please i need help thanks

Nadusha1986 [10]

Answer:

1) 6 balls

Step-by-step explanation:

x = number of balls Elsa can shoot

x + 6 = number of balls Anna can shoot

18 = number of balls together they can shoot

x + (x + 6) = 18

x + x + 6 = 18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 6

2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.

3)Let x & y be packets of [a] type & [b] type detergent sold

Then 9x +7y =180

Let us say x=7

Then 9*7+7y =180

7y =180–63 = 117

y =117/7=19.2 this will not do as it contains decimal not whole number

Say x=6

Then 9*6 +7y =180

7y=180–54 =126

y =126/7 =18 this is acceptable as it is whole number

Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php

4) 5,6,7 female piglets

5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.

4kg of rice - Php. 360.00

3kg of pork- Php. 390.00

1kg of rice is Php. 90.00

1kg of pork is Php. 130.00

4 0

2 years ago

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