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3 years ago

Next 4 multiples of 2/10

Mathematics

1 answer:

tatuchka [14]3 years ago

4 0

Step-by-step explanation:

2 2 4

_ x _ = _

10 1 10

2 3 6

_ x _ = _

10 1 10

2 4 8

_ x _ = _

10 1 10

2 5 10

_ x _ = _

10 1 10

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When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he wa

DedPeter [7]

Solution :

The formula for the linearization of a function $f(x)$ at a point $x$ = a is given as

$L(x)=f(a)+(x-a)f'(a)$

Assuming the time is t and the distance travelled is $f(t)$ , that makes the speed as $f'(t)$ .

So substituting them in the linearization formula,

A. At t = 7 minutes

f(7) = 2.5 km

f'(7) = 0.5 kpm

∴ $L_7(t)=f(7)+(t-7)f'(7)$

$=2.5+(t-7)0.5$

$=2.5+0.5t-3.5$

$=0.5t-1$

B. At t = 18 minutes

f(18) = 14.8 km

f'(18) = 0.8 kpm

∴ $L_{18}(t)=f(18)+(t-18)f'(18)$

$=14.8+(t-18)0.8$

$=14.8+0.8t-14.4$

$=0.8t-0.4$

C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get

$L_7(14)=0.5(14)-1.0$

= 7 - 1

= 6 km

$L_{18}(14)=0.8(14)+0.4$

= 11.2 + 0.4

= 11.6 km

D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km

= 3.5 km

And between the 14 minutes and 18 minutes is = 14.8 km - 6 km

= 8.8 km

This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.

Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km

= 9.1 km

And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km

= 3.2 km

This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.

Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.

4 0

3 years ago

Hannah has 4 liters of cooking oil in a bottle. She used 1 1/2 liters of the oil. How much liters of oil are left in the bottle?

Scrat [10]

Hannah has $2\frac{1}{2}$ liters of oil left in the bottle.

Step-by-step explanation:

Given,

Quantity of oil in bottle = 4 liters

Quantity used by Hannah = $1\frac{1}{2} = \frac{3}{2}$

We will subtract the quantity used from the total quantity.

Oil left = Total oil - Oil used

$Oil\ left=4-\frac{3}{2}$

Taking LCM

$Oil\ left=\frac{8-3}{2}\\\\Oil\ left=\frac{5}{2}\\\\Oil\ left=2\frac{1}{2}$

Hannah has $2\frac{1}{2}$ liters of oil left in the bottle.

Keywords: fraction, subtraction

Learn more about fractions at:

#LearnwithBrainly

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Answer:

ascending order} an order of numbers from least to greatest like 1 2 3 4

descending order} an order of numbers from greatest to least like 4 3 2 1

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Animal Kingdom - You won the lottery and decided to buy all of the cats and dogs at a shelter and let them all roam free on a fa

zzz [600]

Answer:

3x=152

Step-by-step explanation:

You know that there are 152 animals intotal so that goes at the end. if we say that the dogs are x because we dont know how many there are, then there are 3 times more cats then there are x.

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3 years ago

Which word expression matches the numerical expression 2 1/4 + 8/3

Brilliant_brown [7]

Answer:

I think the right answer is A

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