Maria drops a hammer from an apartment that is 30 meters above the ground. The

height of the hammer in meters, h, after t seconds is modeled by the function

h(t) = -t - 2t + 30. Find the approximate number of seconds it will take for the

hammer to hit the ground. Round your answer to the nearest whole number.


A.0

B.5

C.10

D.30

Answers

Answer 1

Answer:

C. 10 s.

Step-by-step explanation:

When  the hammer reaches the ground the height is 0 m, so:

-t - 2t + 30 = 0

-3t = -30

t = -30/-3

= 10 seconds.


Related Questions

Liz flips a coin 90 times. The coin lands heads up 54 times and tails up 36 times. Complete each statement.
The theoretical probability of the coin landing heads up is

Answers

Answer:

1/2 or 50%

Step-by-step explanation:

Please check if that is correct. But generally there are two sides so half of the times it should be heads.

Hope this helps.

PLEASE HELP ITS AN EMERGENCY

Answers

Answer:

the answer is d

Step-by-step explanation:

Please Help! I'm really stuck on this question 6th Grade Math​

Answers

Answer: a

Step-by-step explanation: can i have brainliest

Answer:

155

Step-by-step explanation:

9 x 4 = 36

6 x 9 = 54

5 x 9 = 45

triangles = 10 x 2 = 20

36 + 54 + 45 + 20 = 155

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
Which equation gives the volume of the sphere?
V = two-thirds (27 pi)
V = four-thirds (27)
V = two-thirds (27)
V = four-third (27 pi)

Answers

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

We have that

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = [tex]r = \frac{d}{2}[/tex]

Substitute h for d in the above expression

[tex]r = \frac{h}{2}[/tex]. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

[tex]\pi r^2 = \frac{27}{h}[/tex]

-------------------

Calculating the volume of a sphere

[tex]V = \frac{4}{3}\pi r^3[/tex]

Expand the above expression

[tex]V = \frac{4}{3}\pi r^2 * r[/tex]

Substitute [tex]\pi r^2 = \frac{27}{h}[/tex]

[tex]V = \frac{4}{3} * \frac{27}{h} * r[/tex]

Recall that [tex]r = \frac{h}{2}[/tex]

So,

[tex]V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}[/tex]

[tex]V = \frac{4}{3} * \frac{27}{2}[/tex]

[tex]V = \frac{2}{3} * 27[/tex]

[tex]V = \frac{2}{3} (27)[/tex]

V = two-third (27)

Which weighs more: a pumpkin that weighs 3.2 kilograms, Or a cat that weighs 9 pounds? Note 1 pound is about 0.45 kilograms

Answers

Answer:

The cat weighs more.

Step-by-step explanation:

The cat weighs 4.08 kilograms and the pumpkin weighs 3.2 kilograms.

9lbs=4.08 kilograms.

Hope this helps : )

The body that weighs more, based on its relative mass is the cat.

The cat weighs 9 pounds and the pumpkin weighs 3.2 kilograms.

To know which weighs more, they need to be weighed in the same units.

Convert the cat to kilograms:

= Number of pounds x Pounds to kilograms

= 9 x 0.45

= 4.05 kg

The cat therefore weighs more than the pumpkin.

Find out more at https://brainly.com/question/426654.

which polyhedron is represented by the net shown

Answers

Answer:

triangular pyramid

Step-by-step explanation:

Let's make the central triangle the "base", or the bottom face, of our polyhedron. Try to visualise what will happen if we fold up the three triangles so that their top vertices meet at the center top (see diagram).

If we can do that, we'll see that it's a pyramid with a triangular base, so it's a triangular pyramid.

Answer-triangular pyramid

Triangular has a base of a triangle and 3 sides that are triangles

Hope this helps

find the value of X​

Answers

Answer:

[tex]x=\sqrt{13}[/tex] (C.)

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex](2^{2} )+(3^{2})=x^{2}[/tex]

[tex]4+9=x^{2}[/tex]

[tex]13=x^{2}[/tex]

[tex]\sqrt{13} =\sqrt{x^{2} }[/tex]

[tex]x=\sqrt{13}[/tex]

Which system of equations could be graphed to solve the equation below?

log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 + x
y 1 = StartFraction log 0.5 Over x EndFraction , y 2 = StartFraction log 3 Over 2 + x EndFraction
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 + x Over log 3 EndFraction
y 1 = StartFraction log 0.5 Over log 3 EndFraction, y 2 = StartFraction log x Over log 2 + x EndFraction
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

Answers

Answer:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

Step-by-step explanation:

Final answer:

To solve the log equation, the appropriate system of equations is y₁ =  log₀.₅ x and y₂ =  log₃(2+x) as these correspond to the format of the original log equation, where we can equate the two and solve for x.

Explanation:

To solve the equation log₀.₅ₓ = log₃ (2+x), we can rewrite it in a form that helps us find a system of equations.

First, apply the change of base formula for logarithms:

log ab/ log ac = log cb.

Using this formula, we can rewrite the given equation as:

log 0.5x / log₀.₅ 10 = log₃(2+x) / log₃10

Now, we can create a system of equations with the following relationships:

y₁ = log₀.₅ x / log₀.₅10

y₂ = log₃(2+x) / log₃10

Therefore, the correct choice is:

y₁ = logₓ/log₀.₅ , y₂=  log(2+x)/ log 3

Learn more about logarithmic functions here:

https://brainly.com/question/30139693

#SPJ11

H(t)=t^2+4t+3 what are the zeroes of the function? Write the smaller t first, and then the larger t second

Answers

Answer:

t = - 3, t = - 1

Step-by-step explanation:

Given

h(t) = t² + 4t + 3

To find the zeros equate h(t) to zero, that is

t² + 4t + 3 = 0

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the t- term

The factors are + 3 and + 1, since

3 × 1 = 3 and 3 + 1 = 4, thus

t² + 4t + 3 = (t + 3)(t + 1) = 0

Equate each factor to 0 and solve for t

t + 3 = 0 ⇒ t = - 3

t + 1 = 0 ⇒ t = - 1

smaller zero is t = - 3

larger zero is t = - 1

A hat contains four balls. The balls are numbered 2, 4, 4, and 5. One ball is randomly selected
and not replaced, and then a second ball is selected. The numbers on the two balls are added
together.
A fair decision is to be made about which of three sizes of ice cream cone will be ordered, using
the sum of the numbers on the balls. The sizes are small, medium and large.

Which description accurately explains how a fair decision can be made in this situation?


If the sum is 6 or 7 small cone will be ordered. If the sum is 8medium cone will be ordered. If the sum is 9, a large cone will be ordered

If the sum is 6 or 9. a small cone will be ordered If the sum is 7 a medium cone will be ordered If the sum is 8 large cone will be ordered

the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered.

If the sum is 6, a small cone will be ordered . If the sum is 7 or 9, a medium cone will be ordered If the sum is 8 a large cone will be ordered

Answers

Answer: the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered.

Step-by-step explanation:

Based on the question above,

P(6) = P(7 or 8) = P(9)

Hence,

The fair decision can be made if:

the sum is 6, a small cone will be ordered, when the sum is 7 or 8 a medium cone will be ordered and when the sum is 9, a large cone will be ordered.

PLEASE ANSWER FAST! What does it mean when the point on the number line is an open circle?

Answers

Answer:

See explanation for answer.

Step-by-step explanation:

When the point on the number line is an open circle, that means that the inequality does not include that exact value. For instance, in this case the inequality only takes number higher than, but not equal to, -1. Hope this helps!

Answer:

When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".

Step-by-step explanation:

A population has μ = 90 and a standard deviation of σ = 9.6. What are the mean and standard deviation of the sampling distribution x-bar if a sample of 144 were taken?

Answers

Answer:

[tex] \mu_{\bar X} = 90[/tex]

[tex] \sigma_{\bar X} =\frac{\sigma}{\sqrt{n}}= \frac{9.6}{\sqrt{144}}= 0.8[/tex]

Step-by-step explanation:

For this case we have a population with the following parameters:

[tex]\mu = 90, \sigma =9.6[/tex]

For this case we have a sample of n= 144 and this sample size is larger (>30) then we can apply the central limit theorem and the distirbution for the sample mean is given by:

[tex] \bar X \sim N( \mu, \frac{\sigma}{\sqrt{n}}) [/tex]

And replacing we got:

[tex] \mu_{\bar X} = 90[/tex]

And the standard deviation is given by:

[tex] \sigma_{\bar X} =\frac{\sigma}{\sqrt{n}}= \frac{9.6}{\sqrt{144}}= 0.8[/tex]

Consider the parallelogram shown below whose area is 40 square centimeters and height is 8 centimeters. The missing base in the figure is ___ centimeter.

Answers

Answer:

5

Step-by-step explanation:

B=a/h

The missing base in the figure is 5 centimeter.

What is the area of a parallelogram?

The area of a parallelogram is the product of the base and the height of the figure. Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly. Then summing all those pieces' area gives us the area of the main big region.

The area of a parallelogram = Base x Height

Given;

     Area of parallelogram= 40 square centimeters

      Height of parallelogram= 8cm

   

Solution;

       A= b x h

   substituting the given values in the formula;

                 40= b x 8

                  b= 40/8

                   b= 5

So, the answer is 5cm

Learn more about area of a parallelogram here:

https://brainly.com/question/4887838

#SPJ6

What is the x and the y
-5x - 3y = 14

Answers

Answer:

[tex]x=-\frac{14+2y}{5}[/tex]

Step-by-step explanation:

That is what i got and i also checked it on a website. so i hope it helps

Hellllpppp Pleaseeeeee

Answers

Answer:

Statement 1 & Statement 3

Step-by-step explanation:

4 ÷ 10/3

4 × 3/10

12/10

6/5

f(x + 1) = (6/5) × f(x)

f(x) = (10/3) × (6/5)^(x-1)

f(x) = (10/3) × (5/6) × (6/5)^x

f(x) = (25/9) × (6/5)^x

The domain is all natural numbers and the range is real numbers

Step-by-step explanation:

Step 1:  Find the correct answer

Option A is correct because if you plug in the numbers...

[tex]f(0 + 1) = \frac{10}{3}[/tex] → [tex]f(1)=\frac{10}{3}[/tex]

[tex]f(1 + 1) = \frac{6}{5} * \frac{10}{3}[/tex] → [tex]f(2)=4[/tex]

[tex]f(2 + 1) = \frac{6}{5} * \frac{4}{1}[/tex] → [tex]f(3) = \frac{24}{5}[/tex]

[tex]f(3 + 1) = \frac{6}{5} * \frac{24}{5}[/tex] → [tex]f(4) = \frac{144}{25}[/tex]

Also, Option C is correct because if you plug in the numbers...

[tex]f(1) = \frac{10}{3}(\frac{6}{5})^(^1^-^1^)[/tex] → [tex]f(1) = \frac{10}{3} * 1[/tex] → [tex]f(1)=\frac{10}{3}[/tex]

[tex]f(2) = \frac{10}{3}(\frac{6}{5})^(^2^-^1^)[/tex] → [tex]f(2) = \frac{10}{3}*\frac{6}{5}[/tex] → [tex]f(2) = 4[/tex]

[tex]f(3) = \frac{10}{3}(\frac{6}{5})^(^3^-^1^)[/tex] → [tex]f(3) = \frac{10}{3}*\frac{36}{25}[/tex] → [tex]f(3) = \frac{24}{5}[/tex]

[tex]f(4) = \frac{10}{3}(\frac{6}{5})^(^4^-^1^)[/tex] → [tex]f(4) = \frac{10}{3} * \frac{216}{125}[/tex] → [tex]f(4) = \frac{144}{25}[/tex]

The reason why option B is not correct is because when you plug in a number, the output is incorrect.  The reason why Option D is not correct is because the domain does not include negative numbers which means that the domain is all natural numbers.  The reason why Option E is not correct is because the range is all real numbers and not just natural/positive numbers.

Answer: Options A, C

Did you hear about the lettuce and tomato race? The lettuce was a head and the tomato tried to ketchup.

Answers

Answer:

bruh

Step-by-step explanation:

b r u h

factor this four term polynomial: 4x^4-2x^3-6x+3

Answers

Answer:

( 2 x − 1 ) ( 2 x↑ 3 − 3)

Step-by-step explanation:

The arrow indicates that the 3 is an exponent

Also Mark me brainliest!

. Which three-dimensional figure is modeled by the net below?








F. rectangular prism
G. triangular prism
H. square pyramid
I. rectangular pyramid

Answers

Answer:

Can I get more details on this question?

Step-by-step explanation:

If so, I can probably help you a little bit more. And I will edit my response

Answer: The answer is square pyramid

Step-by-step explanation:

What is -22.2 x (-6.1)? A. -135.42 B. -28.3 C. 28.3 D. 135.42

Answers

Answer:

D

Step-by-step explanation:

All you have to do is multiply -22.2 by -6.1

Answer: The answer is D

Step-by-step explanation:

The slope-intercept form of the equation of a line that passes through the point (4, -3) is y=-3x+5. What is the point-slope form of the
equation for this line?
Point-Slope Form:y- y1=m(x-x1)

y-3--1/3x+4)
y-4--1/3 (X - 3)
y-4--1/3(x+3)
y+ 3 = -1/3 (x-4)

Answers

Answer:

y+ 3 = -1/3 (x-4)

Step-by-step explanation:

Simply plug in the values using (4, -3)

4 = x₁

-3 = y₁

Now one rule to keep in mind when plugging it in, since a negative and a negative make a positive, you have to add three instead of subtracting it.

Answer:

I think the answer is y+ 3 = -1/3 (x-4)

Step-by-step explanation:

v

15 10

In the circle shown, chords AC and BD intersect at E. If AE = 6, EC =

12, and DE = 18. How long is

BE

Answers

Answer:

BE is 4 units long

Step-by-step explanation:

Data

AE = 6EC =  12DE = 18

Given that chords AC and BD intersect at E, then the following equation must be satisfied:

AE * CE = DE * BE

Replacing with data and isolating BE:

6*12 = 18*BE

BE = 6*12/18

BE = 4

the sum of 198 and h as an algebraic expression

Answers

Answer:

198+h

have a nice day

BRAINLIEST!!

1. Solve log2 x = 5.

PLZ HELP

Answers

Answer: 32

explanation.

The value of x in the equation log_2_ x = 5 is;

x = 32

We are given; log_2_ x = 5

To solve this, we need to understand that in logarithms, there is a rule for bases like this. An example is;

Log_a_x = y means that;

a^(y) = x

Apply that formula to our question gives us;

log_2_ x = 5 can be expressed as;

2^(5) = x

Thus; x = 32

Read more at;https://brainly.com/question/24224537

. (4 + 5) +2 =4+(5+4) true or false

Answers

Answer:

False

Step-by-step explanation:

Please help me out! I have only 1 hour left! I will give brainlist to correct answers. 5 stars and thanks for ALL answers, even asking for details.

Answers

Answer:

The small tire would make about  127 rotations.

The large tire would make about  38 rotations.

b. Would you rather ride a bicycle made with two large wheels or two small wheels? Explain.

Two large wheels. Because the larger wheel makes a smoother ride and you spend less energy in order to move, compared to smaller wheels. Also, the larger the diameter, the further it can travel over one revolution.

A bicycle with would allow you to travel farther with each rotation of the pedal.

The larger one. Because in one rotation the larger wheel moves 188.49 inches and the smaller one 56.55 inches.

[tex]C= 188.49\text{inches}[/tex]

[tex]C= 56.55\text{inches}[/tex]

Step-by-step explanation:

- Big wheel 60 inches

- Small wheel 18 inches.

a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.

Considering: [tex]C=\pi d[/tex]

Large tire:

[tex]C=60\pi[/tex]

[tex]C= 188.49\text{inches}[/tex]

[tex]$C=\frac{188.49}{12} = 15.7 \text{feet}$[/tex]

[tex]$\frac{600 }{15.7} = 38 \text{rotations}$[/tex]

Small tire:

[tex]C=18\pi[/tex]

[tex]C= 56.55\text{inches}[/tex]

[tex]$C=\frac{56.55}{12} = 4.71 \text{feet}$[/tex]

[tex]$\frac{600 }{4.71} = 127 \text{rotations}$[/tex]

The value of Vishal's car is depreciating exponentially.


The relationship between V, the value of his car, in dollars, and t, the elapsed time, in years, since he purchased the car is modeled by the following equation.


V=22,500⋅10^-t/12


How many years after purchase will Vishal's car be worth $10,000


Give an exact answer expressed as a base-10 logarithm.

Answers

We have been given that the value of Vishal's car is depreciating exponentially.  The relationship between V, the value of his car, in dollars, and t, the elapsed time, in years, since he purchased the car is modeled by the equation [tex]V=22,500\cdot 10^{-\frac{t}{12}}[/tex]. We are asked to find the time, when Vishal's car will be worth $10,000.

To find the time, we will equate our given equation with 10,000 as:

[tex]10,000=22,500\cdot 10^{-\frac{t}{12}}[/tex]  

[tex]\frac{10,000}{22,500}=\frac{22,500\cdot 10^{-\frac{t}{12}}}{22,500}[/tex]

[tex]\frac{4}{9}=10^{-\frac{t}{12}}[/tex]

Now we will take log on both sides.

[tex]log_{10}\left(\frac{4}{9}\right)=log_{10}\left(10^{-\frac{t}{12}}\right)[/tex]

[tex]log_{10}\left((\frac{2}{3})^2\right)=-\frac{t}{12}[/tex]

[tex]-\frac{t}{12}=log_{10}\left((\frac{2}{3})^2\right)[/tex]

[tex]-\frac{t}{12}(-12)=(-12)log_{10}\left((\frac{2}{3})^2\right)[/tex]

[tex]t=(-12)log_{10}\left((\frac{2}{3})^2\right)[/tex]

Using property [tex]log(a^b)=b\cdot log(a)[/tex], we will get:

[tex]t=(-12)\cdot 2log_{10}\left(\frac{2}{3}\right)[/tex]

[tex]t=-24log_{10}\left(\frac{2}{3}\right)[/tex]

Therefore, the value of Vishal's car will be $10,000 after approximately  [tex]-24log_{10}\left(\frac{2}{3}\right)[/tex] years.

Solve the equation:3/4 (x + 1) = 1/2(x+2)

X=

Answers

The answer is X = 1


John had 60 video games and he sold 80% of the games at a garage sale. How many video games
were sold?​

Answers

Answer:

48 video games were sold.

Step-by-step explanation:

We know that both 100% and 60 are divisable by 5. 100%÷5=20%. 60÷5=12. So now we know that 20% of 60 is 12. We need 80%, however. To get from 20% to 80%, we just multiply by four. 20 × 4 = 80. But what we do to one side, we must do to the other. 12×4=48. So 80% of 60 is 48.

Hope this helped, and good luck with future math problems!

Select all the expressions that have a value
always
greater than 18,204.
A. 18,204 x 6
B. 18,204 x
length
C. 18,204 x 1
use angles
D. 18,204 x
3
10
E. 18,204

Answers

E this isnt an anwser i j have to anwser a q before i can ask anymore

Step-by-step explanation:

18024 x 6 = 108144

18024 x 2/3 = 12016

18024 x 1 1/8 = 18025.125

18024 x 3/ 3 = 18024

18024 x 10/5 = 36048

Option A C E are the correct answer

Olivia ordered a shirt online that cost her $38 total.
The package arrived late so the seller took 16% off
the price. How much did she end up paying?

I NEED UT TODAY

Answers

Answer:

$6.08

Step-by-step explanation:

38 x 0.16

equals $6.08

Answer:

$31.92

Step-by-step explanation:

Find 16 percent of 38

38*.16= 6.08

subtract

38-6.08= 31.92

Other Questions
What is a food that provides energy to perform activitie in a food chain a circle with radius 5 has a sector with a central angle of 9/10pi radians what is the area of the sector Solve x :[tex]{(3 {x}^{2} - 8x + 5)}^{x + 1} = 1[/tex] Which piece of legislation passed by President Rooseveltwas designed to regulate banking and investment and protectconsumers?A. the Glass-Steagall ActOB. the Interstate Commerce ActOC. the Federal Emergency Relief ActD. the Civilian Conservation Corps Suppose a scientist identified two yeast mutants, called huh1 and huh2. The mutants have constitutive expression of the nop operon, which includes the genes nop1 and nop2. One of the mutants is a point mutation in a DNA-binding site, and the other is a deletion of the gene which encodes the DNA-binding protein.Which term describes the regulatory function of the DNA-binding protein?The scientist then performs a experiment mating the two haploid yeast together to determine which mutation is in the DNA-binding protein and which is in the dna-binding site. The experimental setup is listed below, wherein a minus indicates a lose-of-function mutation, and a plus indicates the wild type allele.How will nop1 and nop2 be expressed if huh1 encodes the dna-binding protein and huh2 is a mutation in the binding site? How will nop1 and nop2 be expressed if huh2 encodes the DNA-binding protein and huh1 is a mutation in the binding site? Why do you think perfect flowers are beneficial for species??? the circumference of a circle is 11.4mm. find the length of the diameter. give your answer rounded to 3SF. A paddle wheel on a boat is 8 feet in diameter. The fins along the outer edge travel at a speed of 6.7 feet per second. How long does it take the paddle wheel to complete 100 full revolutions? Round to the nearest second. Which of the following statements about natural killer cells is true?SELECT ALL THAT APPLYGroup of answer choicesNatural killer cells are lymphocytes that function as part of the innate immune system.Natural killer cells secrete toxins onto the surface of neoplasms.Natural killer cells may bind to the Fc portion of antibodies thereby triggering ADCC.Natural killer cells destroy virus infected cells.Natural killer cells require activation by T helper cells, and are responsible for cell-mediated immunity What is the molarity of H2SO3 if 250 mL of the acid was used to neutralize 200 mL of 1.5 M solution of Mg(OH)2? Create a function average_temp(s) that accepts a file name s that contains temperature readings. Each line in the file contains a date followed by 24 hourly temperature readings in a comma-separated-value format, like this example:2/3/2016,18,17,17,18,20,22,25,30,32,32,32,33,31,28,26,26,25,22,20,20,19,18,18,18For each line in the file, the function should print out a line containing two items: the date, then comma, then the average temperature on that date, e.g.3/5/2018, 58.243/6/2018, 60.113/7/2018, 57.55 cos(-15) = _____.cos 75-cos 345cos 15-cos 15 Please help me now plz What is the area of the following parallelogram in square centimeters?396 cm2360 cm23.6 cm23.96 cm2 Fantastical Stories Class began as it usually does: The gossipers were gossiping, the paper throwers were throwing paper, and the colorful and brilliantly shiny medieval dragon was leering toward me, breathing heavily. Wait, a dragon? Those fantasy books had really taken a toll on my sense of reality. My senses came to me as I discovered that, of course, no dragon had found its way into my classroom. Unfortunately, there was a fiery, heavy exhale that reached my desk. I looked up, nervously, as Mr. Anderson stared down at me with his arms crossed, his brow furrowed with disapproval. I had fallen asleep. "Off in the ozone again?" my teacher asked as I sat there embarrassed. "Sorry, Mr. Anderson. Late night, you know?" There was no reason to explain the exhausting quest I had endeavored to complete, well into the deep forest and across the unfathomable heights of the great mountains. I knew my fantasies didn't belong in school. Very few of my classmates would continue talking to me after I ranted about the vast territories my heroes traveled, or the colossal dangers that await victims in the forbidden swamps. My teacher, however, was fully aware of my interests because, as he noted, I talk in my sleep. The next day, Mr. Anderson wrote an assignment on the board right off the bat. Halfheartedly, I glanced at the writing at the front of the room. "Write your own story with fantastical creatures and include elaborate detail." My enthusiasm was felt throughout the room as I shifted my posture quickly and began shuffling papers erratically. My dreams had become a reality as I envisioned a new quest, a new mission to embark on that would transform the fantasy genre forever! A week later, I sprang up to the front of the classroom to read my story, delivering powerful dialogue and suspenseful plot twists. Everyone shifted in their seats, wriggling around with the introduction of a new setting, waiting in anticipation as each character turned a new corner. My teacher was in awe, but proud and happy that I was able to get out of my rut and finally take interest in school. After the 14 full pages came to a close, and after the bell had already rung, my classmatesthose who never spoke a word to mecheered with great enthusiasm as I walked back to my desk in a full, confident stride. Find the value of r in the following diagram. A math class has 3 girls and 9 boys in the seventh grade and 7 girls and 3 boys in the eighth grade. The teacher randomly selects a seventh grader and aneighth grader from the class for competition. What is the probability that the students she selects are both girls?Write your answer as a fraction in simplest form. g Which of the following is true about magnetic field lines? A. All magnetic field lines are always parallel to the Earths magnetic field. B. Magnetic field lines form closed loops and never intersect. C. Magnetic field lines flow out of the south pole of a bar magnet, around, and into the north pole. D. Positive charges always feel a force along magnetic field line The sum of Emmas age and her sisters age is 41 years. Emma is 11 years older than her sister. What is Emmas age and what is her sisters age? Please respond as quick as possible Going on a hike or outdoor trip by yourself is easier and just as safe asgoing on an outdoor trip with multiple people O true O false Steam Workshop Downloader