A deer and bear stumble across a sleeping skunk. They run away from it in opposite directions- the deer at the speed of 8 feet per second and the bear at the speed of 5 feet per second. How long will it be until the pets are 156 yards apart

Answer:

It can't be solved - there are no real roots

Answer:

Option C

Step-by-step explanation:

A "tessellation" is a flat covering of 2D geometric shapes. A shape in a tessellation is called a "tile".  

Tessellations can be in a pattern that goes 'forever', and they cannot overlap. This eliminates A and D, since they are true.

A "tessellation" cannot have any spaces. This eliminates option B, since this is true. Since a circle and an eclipse have curved sides, they can not tessellate on their own. Regular pentagons and octagons will also not tessellate on it's own. Any shape that are put together and leave a gap will not tessellate.  

I have attached a picture showing why circles and pentagons will not tessellate.

So, not any 2D shape would tessellate. Option C's statement is false.

Option C should be the correct answer.

Answer:

3 <x

Step-by-step explanation:

3(8 - 4x) < 6(x - 5 )​

Divide each side by 3

3/3(8 - 4x) < 6/3(x - 5 )​

8 -4x < 2(x-5)

Distribute

8 -4x < 2x-10

Add 4x to each side

8 -4x+4x < 2x+4x-10

8 < 6x-10

Add 10

8+10< 6x-10+10

18<6x

Divide by 6

18/6 < 6x/6

3 <x

Start by distributing on both sides of this inequality.

This gives you 24 - 12x < 6x - 30.

Put your x's together on the left by subtracting 6x from both sides.

This gives you 24 - 18x < -30.

Now subtract 24 from both sides to get -18x < -54.

Now divide both sides by -18 and x > 3.

Remember to switch the direction of the inequality sign

when you divide both sides by a negative number.

I have also graphed it below on the number line.

Answer:

This triangle is right angle triangle

Step-by-step explanation:

Answer:

P(making 3 wrong guesses) = 27/64

P(making 3 right guesses) = 1/64

Step-by-step explanation:

Number of possible answers per question = 4

Number of right answer per question = 1

Number of wrong answers per question = (4 - 1) = 3

Probability = (Number of required outcomes / Number of Total possible outcomes)

A.) probability of guess 3 questions wrong :

Probability of making a wrong guess = (number of wrong options / total number of options

P(making a wrong guess) = 3/4

Therefore,

P(making 3 wrong guesses) = 3/4 × 3/4 × 3/4 = (27/64)

B.) probability of making 3 right guesses:

P(making a right guess) = (number of right options per question / total number of options per question)

P(making a right guess) = 1/4

P(making 3 right guesses) =(1/4 × 1/4 × 1/4) = 1/64

Answer:

Let the number be x

5 is subtracted from a certain number means it will be x - 5

The result is multiplied by 7, the final result is 63,

7 (x - 5) = 63

7x - 35 = 63

7x = 63 + 35

7x = 98

x = 98/7

x = 14

The number is 14

Answer the number is 14 and the equation is 7 (x - 5) = 63

Step-by-step explanation:

Using the appropriate arithmetic operation, the value of the original number is 4

Let the number be : p

5 added to p :

Multiply the addition by 7 :

We can solve for p thus :

15 + 3p = 27

3p = 27 - 15

3p = 12

p = 12/3

p = 4

Therefore, the original number is 4.

Learn more : https://brainly.com/question/25625086

Answer:

She catered for 40 people.

Step-by-step explanation:

According to the information given, you can write an equation that indicates that 30 people multiply for its cost that is $10 plus the number of people after 30 for its cost that is $9 is equal to $390. According to this, the equation is:

10(30)+9x= 390, where

x= number of people after 30

Then, you can solve for x:

300+9x= 390

9x=390-300

9x= 90

x=90/9

x=10

The answer is that she catered for 40 people, 30 people at a cost of $10 and 10 people for a cost of $9.

Apply the area formula [tex]A=\frac{bh}{2}[/tex] to get [tex]\frac{8\cdot 14}{2}=\boxed{56\,\text{square units}}.[/tex]

Answer: 50

Step-by-step explanation:

If 5 = x

You would substitute 5 in for X and start by squaring 5

Once you square 5 you get 25

Multiply 25 by 2 to get 50 and there is ur answer.

Answer:

lower price = 3

higher price =11

Step-by-step explanation:

p(x) = -2(x-3) (x-11)

Setting equal to zero

0 =  -2(x-3) (x-11)

Using the zero product property

x-3 = 0   x-11 =0

x=3          x = 11

Answer:

0

Step-by-step explanation:

Ends at the same place

Answer:

0

Step-by-step explanation:

Answer: 39.58 cm

Step-by-step explanation:

The circumference of a circle is 2 times  the radius times pi or  pi times the diameter.  so we know the diameter is 12.6 so just multiply it by pie.

12.6 * pi = 39.584

Now rounded to the nearest hundredth is 39.58.

Answer:

37.7

Step-by-step explanation:

C=2(pi.)r

2×3.14=6.28

6.28×6=37.6

37.68 rounded is 37.

Answer:

Quadrant 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

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5 : 20

Divide both sides by 5 to get the answer

5/5 = 1

20/5 = 4

Thus, the answer is 1 : 4

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Answer:

D

Step-by-step explanation:

a = 20 because the rate of change is –3.

A linear function has one independent variable and one based variable. The independent variable is x and the based variable is y. a is the steady time period or the y-intercept. it's far the cost of the dependent variable while x = zero.

Which will be a linear feature, a graph needs to be both linear (a direct line) and a characteristic (matching each x-value to the most effective y-value). It must also pass a polygraph check, complete an obstacle path, and offer a minimum of 3 references. The qualifications are stringent.

Learn more about linear function here: brainly.com/question/14796161

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Answer:

Step-by-step explanation:

First we rewrite the expression:

 3sec (x) -2 = 1

 3 (1 / cos (x)) -2 = 1

 3 (1 / cos (x)) = 1 + 2

 3 (1 / cos (x)) = 3

 (1 / cos (x)) = 3/3

 cos (x) = 1

 x = 2 * pi * n

 on the interval [0, 2pi):

 x = 0

 Answer:

 x = 0 on the interval [0, 2pi)

Answer: 55°

Step-by-step explanation: Let me know if you need an explanation.

Answer:

X = 55°

Step-by-step explanation:

X = 180° - ( 75 + 50)°

X = 180° - 125°

X = 55°

Answer:

40

Step-by-step explanation:

The denominators are 4, 5, and 8.

Write the prime factorizations:

4 = 2²

5 = 5

8 = 2³

To find the least common denominator, multiply the prime numbers with the highest exponents.

2³ × 5 = 40

Answer:

LCD=40

EXPLANATION= To find the least common denominator first convert all integers and mixed numbers (mixed fractions) into fractions. Then find the lowest common multiple (LCM) of the denominators.

Answer:

$180.00

Step-by-step explanation:

The painting is rectangular and it measures 1 meter by 2 meters. The frame shop charges $30.00 per meter for a wooden frame.

To find the cost, we need to find the perimeter of the painting and then multiply it by the cost of a wooden frame per meter.

The perimeter of a rectangle is:

P = 2(L + B)

P = 2(1 + 2) = 2 * 3 = 6 m

The cost of the frame is therefore:

6 * 30 = $180.00

Answer:

-1 not in domain

0 in the domain

2 in the domain

Step-by-step explanation:

g(x) = sqrt(8x)

g(-1) = sqrt(-8)   the answer is not real so not in the domain of real number

g(0) = sqrt(0) = 0  in the domain

g(2) = sqrt(8*2) = 16 = 4  in the domain

Answer:

x = 11

Step-by-step explanation:

Take the fifth root on both sides.

27(x-2) = 3^5

27x-54 = 3^5

27x = 243 + 54

27x = 297

x = 297/27

x = 11

Answer:

[tex]x = 11 \\ [/tex]

Step-by-step explanation:

[tex] \sqrt[5]{27(x - 2)} = 3 \\ { (\sqrt[5]{27(x - 2} )}^{5} = {3}^{5} \\ 27(x - 2) = 243 \\ 27x - 54 = 243 \\ 27x = 243 + 54 \\ 27x = 297 \\ \frac{27x}{27} = \frac{297}{27} \\ x = 11[/tex]

Answer:D. 73 people

Step-by-step explanation:

365 / 5% = 7300

7300÷100=73

Answer:

d = [tex]\frac{C}{3.14}[/tex]

Step-by-step explanation:

Given

C = 3.14d ( isolate d by dividing both sides by 3.14 )

[tex]\frac{C}{3.14}[/tex] = d

Answer:

B. No solutions

Step-by-step explanation:

Answer:

It is B

Step-by-step explanation:

They are both parallel to each other.

Answer:

y=1.5x + 68

Step-by-step explanation:

68 is the starting value and it increases by 1.5 every hour.

Answer:

y = 68 ( 1.5) ^x

Step-by-step explanation:

This is exponential growth

The formula is

y = ab^x  where a is the initial amount and b is the growth rate

The initial amount is 68 and the growth rate is 1.5

y = 68 ( 1.5) ^x