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1 year ago

Perform the calculation then

Mathematics

2 answers:

Andru [333]1 year ago

5 0

Answer:

416 (3 s.f.)

Step-by-step explanation:

To multiply decimals, begin by multiplying the numbers as if there is no decimal:

$\large\begin{array}{cccccc}&& 1 & 2 & 8 & 5\\\times && & 3 &2 & 4\\\cline{1-6} && 5 & 1 & 4 & 0\\&2&5&7&0&0\\3&8&5&5&0&0\\\cline{1-6}4&1&6&3&4&0\\\cline{1-6}^1&^1&^1&&\phantom{^{\frac{1}{2}}}&\end{array}$

Count the number of digits after the decimal point in each factor:

128.5 → 1 digit after the decimal point.
3.24 → 2 digits after the decimal point.

Therefore, there is a total of 3 digits after the decimal points.

Put the same number of digits after the decimal point in the product.

Therefore, the solution is to the multiplication is:

416.340

The factor with the fewest signification figures is 3.24.

This number has 3 significant figures.

Therefore, the solution to 3 significant figures is:

416 (3 s.f.)

Sladkaya [172]1 year ago

3 0

Answer: 416.34

Step-by-step explanation:

128.5

⋅

3.24

Multiply using long multiplication.

128.5×3.24

To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of

, so the answer must have

decimal places as well.

416.34

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The graph represents the approximate number of bacteria in a population over time. Is the rate of change constant or varying? Ho

alisha [4.7K]

Answer:

Varying

Step-by-step explanation:

The reason why the rate of change is varying is because the dots on the graph do not connect to make a straight line when you draw a line through the dots. When the dots connect via a straight line, it is also known as a proportional relation. A straight line would be a constant change.

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2 years ago

The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow

Reika [66]

If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now $\bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
----------\\
3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}$

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the $0=w^2\implies 0=w$ so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

8 0

3 years ago

Please help me this is urgent

Alekssandra [29.7K]

Answer:

99.9

Step-by-step explanation:

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3 years ago

If Cody is draining his hot tub which holds 1,400 gallons of water at a rate of 27 gallons a minute, what impact will it have on

inessss [21]

Facts:

- tub has 1400 gallons

- draining at 27 gallons/minute

How much water will be left after 18 minutes?

We know that after 1 minute, there will be 27 gallons less.

So after 18 minutes, there must be 18 times less water.

27 x 18 = 486

This is how much water was lost in 18 min

So to find out how much he had left after 486 is subtracted.

Therefore, the answer is A) -486 gallons

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3 years ago

Directions: Complete all 3 questions. Make sure you include a graph, work and conclusion.

Simora [160]

Prove that the quadrilateral whose vertices are I(-2,3), J(2,6), K(7,6), and L(3, 3) is a rhombus.

I think in these problems the first step is to express each side as a vector. A vector is the difference between points. When two sides have the same vector (or negatives) it means they're parallel and congruent. So in a rhombus IJKL the vectors IJ and LK should be the same, as should JK and IL. That much assures a parallelogram; we check IJ and JK are congruent to complete the crowing of the rhombus.

Let's calculate these vectors:

IJ = J - I = (2,6) - (-2,3) = (2 - -2, 6 - 3) = (4, 3)

LK = K - L = (7, 6) - (3, 3) = (4, 3)

IJ = LK, so far so good

(Note: If you haven't got to vectors yet you can just show the two sides are the same length, 5, and have the same slope, 3/4, both of which can be read off the vectors.)

JK = K - J = (7,6) - (2,6) = (5,0)

IL = L - I = (3, 3) - (-2, 3) = (5, 0)

Those are the same too.

Now we have to show IJ ≅ JK

The length of IJ is the cliche √4²+3² = 5, the same as JK, so IJ ≅ JK

We showed all four sides are congruent and we have two pair of parallel sides, so we have a rhombus.

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4 years ago