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3 years ago

8

When an object falls due to gravity on Earth, the acceleration is 9.8 m/s. A student drops a rock

1 answer:

Aneli [31]3 years ago

8 0

Answer:

29.4 m/s

Step-by-step explanation:

Use v = at with a = 9.8 m/s^2 and t = 3.00 sec

v = 9.8 * 3.00 = 29.4 m/s

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

3 years ago

If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?

MaRussiya [10]

Answer:

the figure could be a rhombus because the 2 lines of symmetry bisect the angles

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Aleonysh [2.5K]

Answer:

16

Step-by-step explanation:

(2(t3+0.5))=16(2t3+t1)

7 0

3 years ago

(negative 5x squared) to the third power

BARSIC [14]

$(-5x^2)^3 =$

$= (-5)^3(x^2)^3$

$= -125x^{2 \times 3}$

$= -125x^6$

8 0

3 years ago

Solve.<br> 45 = 4(a + 3) – 3

Alex787 [66]

Answer:

a = 9

Step-by-step explanation:

45 = 4(a + 3) – 3

Add 3 to both sides.

48 = 4(a + 3)

Divide both sides by 4.

12 = a + 3

Subtract 3 from both sides.

9 = a

a = 9

Answer: a = 9

5 0

2 years ago

Read 2 more answers