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3 years ago

What is the estimate of 416×9

Mathematics

2 answers:

sladkih [1.3K]3 years ago

6 0

3900 I think hope I've helped

netineya [11]3 years ago

5 0

I would round 416 down to 400 so I would do 400x9 which would be 3600.

3600 would be my estimate.

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What is the solution to the equation? ^5√x+7 = -2 (Please help!)

Masja [62]

Step-by-step explanation:

Here we will, Provide index power 5 on both the sides, so that we can cancel out the 5th power root in the L.H.S

so we get as,

==> x+7 = (-2)^5

==> x+7 = -32

==> x = -32-7

==> x = -39

hence, x = -39

Option A.) is correct.

7 0

2 years ago

Put these fractions in order least to greatest. 4/6 1/3 and 1/5

stiv31 [10]

Answer:

1/5 < 1/3 < 4/6

Step-by-step explanation:

Using the given inputs:

4/6 1/3 1/5

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

4/6 1/3 1/5

20/30 10/30 6/30

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/5 1/3 4/6

6/30 < 10/30 < 20/30

Therefore, the sorted inputs in order from least to greatest is:

1/5 < 1/3 < 4/6

6 0

3 years ago

An object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seco

bulgar [2K]

Answer:

$y=2\text{cos}((\frac{2\pi}{3})t)$

Step-by-step explanation:

We have been given that an object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. We are asked to find the cosine function that can be used to model the height of the object.

We know that standard form of cosine function is $y = A\cdot \text{cos}(Bt-C)+D$ , where,

|A| = Amplitude,

Period = $\frac{2\pi}{|B|}$ ,

C = Phase shift,

D = Vertical shift.

Since distance between maximum and minimum is 4, therefore, amplitude will be half of it, that is, $A = 2$ .

Since objects gets back to its maximum value in every 3 seconds, therefore, period of the function is 3 seconds. We know that period is given by $\frac{2\pi}{|B|}$ , therefore, we can write $\frac{2\pi}{|B|}=3$ , therefore, $B = \frac{2\pi}{3}$ .