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Morgarella [4.7K]

2 years ago

11

A turtle crawled at a speed of 1.2 meters per minute for 9 minutes. How far did the turtle crawl? 7.5 meters 7.8 meters 10.2 met

ers 10.8 meters

1 answer:

Dennis_Churaev [7]2 years ago

3 0

Answer:

10.8 meters

Step-by-step explanation:

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A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee

Mariana [72]

Answer:

The questions and problem can be chosen in 1260 ways.

Step-by-step explanation:

Given that, a physics exam consists of 6 open-ended problem and 9 multiple choice questions.

The order of choosing does not matter.

So,we use combination to find ways.

The ways to choose 6 multiple choice from 9 is= $^9C_6$

$=\frac{9!}{6!(9-6)!}$

=84

The ways to 2 open-ended question from 6 is= $^6C_2$

$=\frac{6!}{2!(6-2)!}$

=15

Since pick 6 multiple choice out of 9 and 2 open-ended question out of 6 both are independent we have multiply both to find required ways.

Total number of ways is =(84×15)

=1260.

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Answer:

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Goryan [66]

Answer:

1

Step-by-step explanation:

When x is 0, y is 1 and the y intercept is the y value when x is 0.

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2 years ago

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John owns a hot dog stand. He has found that his profit is represented by the equation p(x)=-x^2+62x+77, with p being profits an

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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

2 years ago