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3 years ago

.340 in expanded notation

2 answers:

7 0

(3 x .1) + (4 x .01)
x is multiplication

Since the 3 is in the tenths place, multiply by 1 tenth, same with the hundredths place, just multiply 4 by 1 hundredth

marshall27 [118]3 years ago

3 0

Answer:

$0.340=3 \times 0.10 + 4 \times 0.01$

Step-by-step explanation:

Expanded notation refers to write a number showing the value of each digit. Hundreds units are multiplied by 100, tens by 10, units by 1, tenths by 0.10, hundredths by 0.01 and thousandths by 0.001.

So, the given number is 0.340 and the expanded notation is

$0.340=3 \times 0.10 + 4 \times 0.01$

Observe that each digit was multiplied by its value given by its position.

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Apply the distributive property to create an equivalent expression. 6(5x minus 3)

SOVA2 [1]

Answer:

30x - 18

Step-by-step explanation:

6(5x - 3)

To distribute, multiply the outside number by everything inside the parentheses.

6 x 5x = 30x

6 x -3 = -18

30x - 18

I hope this helps!

3 0

3 years ago

A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate

Lyrx [107]

Answer:

Therefore the rate change of height is $\frac{1}{\pi}$ m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

$\frac{dV}{dt}=4 \ m^3/s$

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is $V=\pi r^2 h$

$=( \pi \times 2^2\times h)\ m^3$

$\therefore V= 4\pi h$

Differentiating with respect to t.

$\frac{dV}{dt}=4\pi \frac{dh}{dt}$

Putting the value $\frac{dV}{dt}$

$\Rightarrow 4\pi \frac{dh}{dt}=4$

$\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}$

$\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}$

The rate change of height does not depend on the height.

Therefore the rate change of height is $\frac{1}{\pi}$ m/s.

3 0

3 years ago

What is the sixth term in the geometric sequence described by this explicit formula? an=-5*(4)^(n-1)

Dmitrij [34]

Answer:

-5120

Step-by-step explanation:

Replace the n in the formula by 6.

a6 = -5(4)^(6-1)

= -5 * 4^5

= -5120

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3 years ago

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What is the missing angle? Please provide an explanation.

irina [24]

Answer:

64 degrees

Step-by-step explanation:

Lets find the measure of the other angle in the other triangle with measures of 84 and 36.

Since there are 180 degrees in a triangle, we just add the other two angles and subtract from 180:

84 + 36 = 120

180 - 120 = 60

So the measure of the other angle in the other triangle is 60. Since there is a right angle we subtract 60 from 90

90 - 60 = 30

So the triangle with the missing angle has two angles with measures of 86 and 30. Now we add the measures and subtract from 180 again.

86 + 30 = 116

180 - 116 = 64

So the missing angle has a measure of 64 degrees

5 0

3 years ago

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A mechanic ground 6 valves in 25 minutes. At that rate,

pickupchik [31]

Answer:

3hours and 12.5 minutes

Step-by-step explanation:

45/6=7.5x25=187.5/60=3hours and 12.5 minutes

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3 years ago