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butalik [34]
1 year ago
10

What is the product? StartFraction 3 k Over k + 1 EndFraction times StartFraction k squared minus 1 Over 3 k cubed EndFraction S

tartFraction k + 1 Over k squared EndFraction StartFraction k minus 1 Over k squared EndFraction StartFraction negative 1 Over k EndFraction StartFraction 1 Over k EndFraction
Mathematics
1 answer:
Nana76 [90]1 year ago
4 0

Answer:

StartFraction negative 1 Over k cubed EndFraction

Step-by-step explanation:

3k / (k + 1) × (k²- 1) / 3k³

= 3k(k² - 1) / (k + 1)(3k³)

= 3k³ - 3k / 3k⁴ + 3k³

= -3k / 3k⁴

= -1/k³

StartFraction k + 1 Over k squared EndFraction

(k + 1) / k²

StartFraction k minus 1 Over k squared EndFraction

(k - 1)/k²

StartFraction negative 1 Over k cubed EndFraction

= -1/k³

StartFraction 1 Over k EndFraction

= 1/k

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How much water is in an empty glass that is 10cm high and has a diameter of 5cm
Lilit [14]

Answer:

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm ?

= 196,25 cm

Step-by-step explanation:

diameter = 5 cm

radius = 1/2 × diameter

radius = 1/2 × 5 = 2,5

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm?

= π × r × r × high

= 3,14 × 2,5 × 2,5 × 10

= 196,25 cm

4 0
1 year ago
The course length of the Boston Marathon is about 4.2×104 meters. The course length of the Iditarod Trail Invitational ultra-mar
GREYUIT [131]

Answer:

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

Step-by-step explanation:

Let

x -----> the length of the Boston Marathon in meters

y -----> the  length of the Idita rod Trail Invitational ultra-marathon in meters

we have

x=4.2*10^4\ m

y=1.6*10^6\ m

we know that

To find out how many times as long is the course of the Idita rod Trail ultra-marathon as that of the Boston Marathon, divide the length of the Idita rod Trail Invitational ultra-marathon by the length of the  Boston Marathon

so

\frac{y}{x}

\frac{x}{y}=\frac{1.6*10^6}{4.2*10^4}

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

\frac{1.6*10^6}{4.2*10^4}=\frac{1.6}{4.2}*(10^{6-4})=0.381*(10^{2})=38.1

therefore

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

5 0
2 years ago
James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag.
Mariulka [41]

Answer:

1 1/2

Step-by-step explanation:

The first step is to figure out the lightest and the heaviest bad. The lightest bag is 4 1/4 and the heaviest is 5 3/4. Now to subtract, you can't subtract this as a mixed fraction so turn each fraction into an improper fraction by multiplying the whole number by the denominator then adding the numerator to the product of the whole number multiplied  by the denominator (if you didn't know numerator is the top and the denominator is the bottom. To find out 4 1/4 as an improper fraction follow these steps (4*4+1=17) so 4 1/4=17/4. The process is the same for 5 3/4 (5*4+3=23) so   5 3/4= 23/4. Now to subtract, you subtract the numerator but not the denominator. You subtract because the question asks how many more and that means to subtract 23/4-17/4= 6/4. Last step is to turn this back into a mixed fraction do that by dividing the numerator by the denominator, 6 divided by 4 equals 1.5 and turn the decimal into a fraction 1 is a whole number so you don't  change that but the 5 behind the decimal needs to be changed so now 1.5= 1 5/10 and last step is simplify 1 1/2. Hope this helped :).

6 0
1 year ago
Read 2 more answers
Jessica rides the bus 8and 4/5 miles each day. WHATS is The total Numbers of miles she rindes in 21 day's
lesantik [10]
201 miles i believe, hope this helps!
5 0
2 years ago
Read 2 more answers
Anne has 24 more cards than Devi.  Anne finds that 3/5 of Devi's cards are equal to 1/2 of her cards.  How many cards does Anne
Sophie [7]
A=24xD
3/5xD=1/2xA
3d/5=12
d=12x5/3
d=20
a=480
8 0
1 year ago
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