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3 years ago

A weight is attached to the end of a spring. Its height after t seconds is given by the equation.

Mathematics

1 answer:

Aneli [31]3 years ago

6 0

Answer:

Step-by-step explanation:

$y=-2sin (\frac{2\pi (t+1)} {7})+5\\Height ~is~maximum~\\if sin (\frac{2\pi (t+1)}{7} )=-1\\or~ \frac{2\pi (t+1)}{7} =\frac{3 \pi }{2} \\t+1=\frac{3\pi }{2} \times \frac{7}{2\pi } =\frac{21}{4} \\t=\frac{21}{4} -1=\frac{17}{4} =4.25 ~seconds.$

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12)<br> Which graph represents the solution for the equation-x-1=-x+ 2?

antiseptic1488 [7]

Answer:

Find the graph that has (2,0)

Step-by-step explanation:

$\frac{1}{2}x -1=-x+2$

+ x +x

$\frac{3}{2}x - 1 = 2$

$2(\frac{3}{2}x - 1 = 2)$

3x - 2 = 4

+ 2 + 2

3x = 6

/3 /3

x = 2

Your image is blurry, but the point that has (2,0)

Hope that helps!

5 0

3 years ago

Which represents a side length of a square that has an area of 450 square inches?

amm1812

The formula of an area of a square:

$A=a^2$

a - a side

We have $A=450\ in^2$

substitute:

$a^2=450\to a=\sqrt{450}\\\\a=\sqrt{225\cdot2}\\\\a=\sqrt{225}\cdot\sqrt2\\\\\boxed{a=15\sqrt2\ in}$

Used:

$\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}$

5 0

3 years ago

the art teacher is sending home a total of 3,150 projects before winter break if each of her 150 students had the same number of

Alenkinab [10]

Answer:

21 projects each

Step-by-step explanation:

3150 ÷150

4 0

3 years ago

Which ordered pair makes both inequalities true?

Tatiana [17]

The ordered pair which makes both inequalities true is: D. (3, 0).

<h3>How to determine ordered pair?</h3>

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:

At (0, 0), we have:

y > -2x + 3

0 > -2(0) + 3

0 > 3 (false).

y < x – 2

0 < 0 - 2

0 < -2 (false)

At (0, -1), we have:

y > -2x + 3

-1 > -2(0) + 3

-1 > 3 (false).

y < x – 2

-1 < 0 - 2

-1 < -2 (false)

At (1, 1), we have:

y > -2x + 3

1 > -2(1) + 3

1 > -1 (true).

y < x – 2

1 < 1 - 2

1 < -1 (false)

At (3, 0), we have:

y > -2x + 3

0 > -2(3) + 3

0 > -3 (true).

y < x – 2

0 < 3 - 2

0 < 1 (true).

Read more on inequalities here: brainly.com/question/24372553

#SPJ1

3 0

2 years ago

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

Mazyrski [523]

Answer:

The probability that the instrument does not fail in an 8-hour shift is $P(X=0) \approx 0.8659$

The probability of at least 1 failure in a 24-hour day is $P(X\geq 1 )\approx 0.3508$

Step-by-step explanation:

The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

$P(X)=\frac{e^{-\mu}\mu^x}{x!}$