Select the correct answer. Harriet is cultivating a strain of bacteria in a petri dish. Currently, she has 10^3 bacteria in the dish. The bacteria divide every two hours such that the number of bacteria has doubled by the end of every second hour. How many bacteria will Harriet have in the dish at the end of 6 hours?

A. 10^24

B. 10^3 TIMES 6

C. 20^3

D. 10^3 TIMES 8

Answers

Answer 1

10³ times 8 bacteria will Harriet have in the dish at the end of 6 hours, if she has 10³ bacteria now and they double every 2 hours, option D.


Starting with the initial number of bacteria: 10³


Since the bacteria double every 2 hours, after 2 hours, there will be 10³ × 2 bacteria.

After another 2 hours (total of 4 hours), the bacteria will double again: (10³ × 2) × 2 = 1³ × 2²

After the final 2 hours (total of 6 hours), the bacteria will double once more: (10³ × 2²) × 2 = 10³ × 2³

So, at the end of 6 hours, Harriet will have 10³ × 2³ bacteria in the dish. The correct answer is D. 10³ times 8.

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Related Questions

Given points x(-1, 2) and y(7, 14), find the coordinates of the point p on the directed line segment that partitions xy in the ratio 1:3.

Answers

The coordinate of point P is (1, 5).

Here we have to find the coordinate of the point P, which is on the line between x(-1,2) and y(7,14) which are partitions in the ratio 1:3.

The formula of the coordinate when two points are separated in the ratio m:n

Let a and b be the coordinate of P.

a = 7m + (-1)n/ m+n

b = 14m + 2n / m+n

Now put the value m: n as 1:3

a = 7×1 +(-1)×3/ 1+3

 = 7 - 3/ 4

 = 4/4

 = 1

b = 14×1 + 2×3/ 1 +3

  = 14 + 6/ 4

  = 20/4

  = 5

Therefore the coordinate of P is (1,5).

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A family of many generations but with only a few emember of each generation is called a?

Answers

A family of many generations but with only a few members of each generation is called a beanpole family pattern

A Beanpole family is a multi-generational family that is long and thin with few aunts, uncles and grandparents. This is a result of extended life expectancy and fewer children being born.

A generation refers to all of the people born and living at about the same time, regarded collectively.

Hence, A family of many generations but with only a few members of each generation is called a beanpole family pattern

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The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below: __^4 = 16 Find them.

Answers

Answer:

Step-by-step explanation:

Hello, we know that the z complex solutions of

\(z^4=1\)

are

1, i, -1, -i

so, the solutions of \(z^4=16=2^4\) are

2, 2i, -2, -2i

Thank you

Suppose an astrophotographer hands you a picture with star trails taken looking toward the north celestial pole. If the star trails are 1/6 of a complete circle, about how many hours was the picture exposed

Answers

If the star trails in an astrophotographer's picture looking toward the north celestial pole cover 1/6 of a complete circle, the exposure time can be estimated to be approximately 4 hours.

When photographing star trails, the rotation of the Earth causes the stars to appear as streaks across the image. The length of the star trails is directly proportional to the exposure time. In this scenario, since the star trails cover 1/6 of a complete circle, it implies that the camera captured 1/6th of the Earth's rotation during the exposure.

A full circle represents 24 hours, which is the time it takes for the Earth to complete one rotation. Therefore, if 1/6 of the circle is captured, we can estimate the exposure time by calculating 1/6th of 24 hours.

(1/6) * 24 = 4 hours

Hence, the picture was exposed for approximately 4 hours. This estimation assumes that the stars move uniformly during the exposure, which is a reasonable approximation for practical purposes.

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Which relation is a function

Which relation is a function

Answers

Answer:

top left one

Step-by-step explanation:

vertical line test

evaluate n+5/6 for n=1/3​

Answers

1/3(6)+5/6(3)
6/18+15/18
21/18
7/6

PLEASE HELP WILL MAKE YOU BRAINLIEST!!!!!!!!!!!NEED HELP ASAP!!!!!20 POINTS!!!!

Answers

Answer:

      um...there's nothing there to answer

Step-by-step explanation:

Find the vertex of this function and decide whether it is a maximum point or a minimum point. Also, lable what point it's specifically at.

Find the vertex of this function and decide whether it is a maximum point or a minimum point. Also, lable

Answers

Okay, here we have this:

Considering the provided graph we are going to identify the requested vertex and decide whether it is a maximum point or a minimum , so we obtain the following:

Let us remember that the lowest or highest point is the vertex of the parabola. In this case we can see that the highest point is (-1, 9). So the vertex is (-1, 9), and since it is the highest, then it will be a maximum.

In the image you can see the vertex drawn in blue.

Find the vertex of this function and decide whether it is a maximum point or a minimum point. Also, lable


(b) If the median of the following data is 40, write down
the class where the median lies.

(b) If the median of the following data is 40, write downthe class where the median lies.

Answers

Answer:

maximum- median

80-50=30


Solve for all Nash equilibria in pure and mixed strategies.
Include p^, q^, and each player’s expected payoff for the mixed
strategy equilibrium.



Answers

To find all Nash equilibria in pure and mixed strategies, we need to analyze the strategies and payoffs of each player. By determining the mixed strategy equilibrium and calculating the expected payoffs, we can identify the probabilities and strategies for each player.

In order to find the Nash equilibria, we need to analyze the strategies and payoffs for each player. Let's denote the strategies of Player 1 as p (probability of choosing a specific strategy) and the strategies of Player 2 as q. By analyzing the payoffs, we can determine the best responses for each player.

If both players choose pure strategies, we need to examine all possible combinations to identify any Nash equilibria. If there are no pure strategy Nash equilibria, we proceed to analyze the mixed strategy equilibrium.

In the mixed strategy equilibrium, each player assigns probabilities to their strategies. Let's denote the probabilities for Player 1 as p^ and for Player 2 as q^. By calculating the expected payoffs for each player at these probabilities, we can identify the mixed strategy equilibrium. The mixed strategy equilibrium occurs when the expected payoffs are maximized for both players given the opponent's strategy.

To provide the specific probabilities and expected payoffs for each player in the mixed strategy equilibrium, I would need more information about the strategies and payoffs of the players in the given game. Without specific details, it is not possible to determine the exact probabilities and expected payoffs.

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how do i give brainliest if you tell me i will give you brainliest!!! also please give me the answer to the question!

how do i give brainliest if you tell me i will give you brainliest!!! also please give me the answer

Answers

For your question the answer would be DK

Answer:

DK

Also to give brainliest, two people will have to answer ur question

There will be an option i think because i never asked a question, so i dont know

You click the brain or crown on the top right of the answer.

Step-by-step explanation:

Could I please get assistance with this question. Create a mini cricket/rugby clinic explanation where you teach learners about cricket/rugby while incorporating Mathematics or English literacy. Your explanation should be informative and insightful.

Answers

To create a mini cricket/rugby clinic explanation that incorporates Mathematics or English literacy, you could try the following:
Introduce the sport of cricket/rugby and explain its history and rules.

Use cricket/rugby as a context for teaching Mathematics or English literacy. For example:
Mathematics: You can use cricket/rugby statistics to teach learners about probability, percentages, and data analysis. For instance, you can ask learners to calculate the batting average of a cricket player or the conversion rate of a rugby team. You can also ask learners to solve word problems related to cricket/rugby, such as "If a cricket team scores 240 runs in 50 overs, what is their run rate per over?"

English literacy: You can use cricket/rugby as a context for teaching learners about reading comprehension, writing, and vocabulary. For instance, you can ask learners to read a cricket/rugby article and summarize it in their own words. You can also ask learners to write a persuasive essay on why cricket/rugby is the best sport. Additionally, you can teach learners cricket/rugby-specific vocabulary, such as "wicket," "boundary," "try," and "conversion."

Use cricket/rugby drills and exercises to reinforce the Mathematics or English literacy concepts you have taught. For example:

Mathematics: You can ask learners to measure the distance between the wickets or the length of the cricket pitch using a tape measure. You can also ask learners to count the number of runs scored in a cricket match or the number of tries scored in a rugby match.

English literacy: You can ask learners to write a cricket/rugby-themed story or poem using the vocabulary they have learned. You can also ask learners to read a cricket/rugby rulebook and explain the rules in their own words.

Overall, incorporating Mathematics or English literacy into a cricket/rugby clinic can make the learning experience more engaging and meaningful for learners. By using cricket/rugby as a context for teaching these subjects, learners can see the real-world applications of what they are learning and develop a deeper understanding of the concepts.

the starting salaries of individuals with an mba degree are normally distributed with a mean of $55,000 and a standard deviation of $6,000. what percentage of mbas will have starting salaries of $47,000 to $63,000? a. 40.88% b. 50% c. 81.76% d. 31.76%

Answers

Answer:

The answer is c. 81.76%

if you invest $2500 in an account, what is the balance in the account and the amount of interest after 4 years if you earn a) 1.7% interest annually? , b) 1.5% compounded monthly? , c) 1.2 compounded daily? , d) 0.7% compounded continuously?​

Answers

The balance and interest earned for each option are:

a) Balance ≈ $2801.97, Interest = $301.97b) Balance ≈ $2804.63, Interest = $304.63c) Balance ≈ $2806.54, Interest = $306.54d) Balance ≈ $2809.60, Interest = $309.60

How to solve for the balance and the interesta) a) 1.7% interest annually?

If you earn 1.7% interest annually, the balance in the account after 4 years would be:

Balance = $2500 × (1 + 0.017)^4 ≈ $2801.97

The interest earned would be the difference between the balance and the initial investment:

Interest = $2801.97 - $2500 = $301.97

b) 1.5% compounded monthly?

If you earn 1.5% interest compounded monthly, we need to first calculate the monthly interest rate:

Monthly rate = 1.5% / 12 = 0.125%

The balance in the account after 4 years would be:

Balance = $2500 × (1 + 0.00125)^48 ≈ $2804.63

The interest earned would be the difference between the balance and the initial investment:

Interest = $2804.63 - $2500 = $304.63

c) 1.2 compounded daily?

If you earn 1.2% interest compounded daily, we need to first calculate the daily interest rate:

Daily rate = 1.2% / 365 = 0.003288%

The balance in the account after 4 years would be:

Balance = $2500 × (1 + 0.00003288)^1460 ≈ $2806.54

The interest earned would be the difference between the balance and the initial investment:

Interest = $2806.54 - $2500 = $306.54

d) 0.7% compounded continuously?​

If you earn 0.7% interest compounded continuously, we use the formula:

Balance = $2500 × e^(0.007 × 4) ≈ $2809.60

The interest earned would be the difference between the balance and the initial investment:

Interest = $2809.60 - $2500 = $309.60

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Find the matrices C and B​

Find the matrices C and B

Answers

Answer:

B = (3 2) C = (2 2)

(1 2 ) (2 1)

Find the matrices C and B

What is the range of the function f(x) = −(x + 3)2 + 7?

all real numbers less than or equal to 7
all real numbers greater than or equal to 7
all real numbers less than or equal to −3
all real numbers greater than or equal to −3

Answers

Answer:

A.

Explanation:

I might be too late, but it might help others in need of this question.

What is the GCF of 18 and 54?

Answers

Answer:

its 18 because 18 goes into 18 and 54. goes in 54 3 times

Step-by-step explanation:

Solve for k:
k-
-
k =
I
96

Answers

Answer: look it up frfr

Step-by-step explanation:

Look at the graph. To find the rate of change of the function, Kevin did the following:


StartFraction 0 minus (-1) Over 2 - 2.5 EndFraction = StartFraction 1 Over -0.5 EndFraction = -2.


What was Kevin's mistake?

He incorrectly chose (4,0) as a point on the graph.

He incorrectly chose (0,2) as a point on the graph.

He mixed up the numerator and the denominator of the fraction.

He subtracted -2 from 0 when he should have added -2 to 0.

Look at the graph. To find the rate of change of the function, Kevin did the following:StartFraction

Answers

Kevin’s mistake is option 2. Im not 100% sure but it makes sense

Elmer had $125.35 saved up. He wanted to buy a surf board that costs $400. On his way to work to saw some snorkel gear and bought it for $59.99. Now how much money does he need to save in order to buy the surf board? *

Answers

Answer:

334.64

Step-by-step explanation:

how should i draw a)
please help its due soon :((

how should i draw a) please help its due soon :((

Answers

Answer:

I listed the coordinates below. Just place them on a graph and draw a line connecting the points.

Step-by-step explanation:

(-1,-8)

(0,-4)

(1,0)

(2,4)

(3,8)

42 push ups in 5 minutes

Answers

Answer: Uh, hurray?

Step-by-step explanation: I can do 100 in a minute

Answer:

um are you saying i have to do this?

Step-by-step explanation:

n o not happening i've never been good at push-ups

Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)

Answers

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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PLEASE HELP ME WITH MATH! WILL GIVE BRAINLIEST! THANK YOU:)))

PLEASE HELP ME WITH MATH! WILL GIVE BRAINLIEST! THANK YOU:)))

Answers

Answer:

3+10=13+17=30+24=54+0=54

What data display is most appropriate for each situation?

What data display is most appropriate for each situation?

Answers

Line graph - Decrease in attendance

Bar graph - Students in sports

Stem and Leaf plot - Heights of 80 adults

Number of dogs - Line plot

The graph of the relation T is shown below

The graph of the relation T is shown below

Answers

Domain is 3 and 2 while Range is -2 and -4

The required domain is for the relation T is (-4, 0, 2, 3) and the range is (-2, 2, 2, 4).

Given that,
A relation is given we have to determine the domain and range of the relation.

What is the range?

Range, it is the set of values that come out to an outcome for a certain mathematical operation.

here,
A graph has been shown, over which there are multiple dot every dot represents a common relationship.
So, every abscissa of the point is an element of the domain of the relationship function, and every ordinate of the point is an element of the relationship function so,
Domain = {-4, 0, 2, 3}
Range = {-2, 2, 2, 4}

Thus, the required domain is for the relation T is (-4, 0, 2, 3) and the range is (-2, 2, 2, 4).

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pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.​

Answers

Answer:

\(Time \ in\ school = \frac{3}{8} \ of \ the \ day\)

                      = \(\frac{3}{8} \times 24 = 9 \ hours \ in \ school\)

\(Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class\)

1 hour = 60 minutes

Therefore, 6 hours = 360 minutes

So , 360 minutes they spent doing mathematics.

compute the flux of f→=4(x z)i→ 4j→ 4zk→ through the surface s given by y=x²+z², with 0≤y≤9, x≥0, z≥0, oriented toward the xz-plane.

Answers

To compute the flux of the vector field F→ = 4(xz)i→ + 4j→ + 4zk→ through the surface S defined by y = x² + z², where 0 ≤ y ≤ 9, x ≥ 0, and z ≥ 0, and oriented toward the xz-plane, we can follow these steps. First, we calculate the normal vector to the surface S.

Then, we find the magnitude of the vector field F→ at each point on the surface. Next, we compute the dot product of the vector field F→ and the unit normal vector at each point. Finally, we integrate this dot product over the surface S to obtain the flux of the vector field through the surface.

To compute the flux of F→ through the surface S, we begin by finding the normal vector to the surface. Taking the gradient of the surface equation y = x² + z², we get ∇y = 2xi→ + 2zk→. Since the surface is oriented toward the xz-plane, the normal vector is the negative of ∇y, i.e., -2xi→ - 2zk→.

Now, we calculate the magnitude of F→ at each point on the surface S using the equation |F→| = √(4xz)² + 4² + 4² = 4√(x² + z²). Taking the dot product of F→ and the unit normal vector, we have (-2xi→ - 2zk→) · (4(xz)i→ + 4j→ + 4zk→) = -8x²z - 8z². Finally, we integrate this dot product over the surface S by evaluating ∫∫S -8x²z - 8z² dS, where dS represents the differential surface area element.

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{answer for 20 points Please and Thank you}
Janice works at a cell phone company. She wants to make a presentation to her team about the features of a new phone. She makes a scale drawing of the phone using a scale of 1 inch to 0.5 centimeters. The length of the scaled drawing is 28 inches, and its width is 15 inches. What are the actual dimensions of the phone?
A.
The length is 14 inches, and the width is 7.5 inches.
B.
The length is 56 inches, and the width is 30 inches.
C.
The length is 56 centimeters, and the width is 30 centimeters.
D.
The length is 14 centimeters, and the width is 7.5 centimeters.
E.
The length is 12 centimeters, and the width is 5.5 centimeters.

Answers

Answer: D

basically because it’s 0.5 inches lol

Answer: D

Step-by-step explanation: 1 inch is equivalent to .5 centimeters, then 28 inches equals 28 * .5 = 14 and 15 inches equals 15 * .5 = 7.5. So the answer would be D - The length is 14 centimeters, and the width is 7.5 centimeters.  

or

since .5 is equal to 1/2 or 2 you could always take 28 divided by 1/2 which equals 14 and 15 divided by 1/2 or 2 equals 7.5.

You still end up with same result

Part G.find the components of the vector TT=A+B+2C(express x and v vectors in meters seperated by a comma)Part H.Find the magnitude of TPart I.State the direction of vector T in terms of an angle measured counterclockwise from the positive x-axis.

Answers

the components of the vector T are: Tx = 3.0 m and Ty = 6.0 m, the magnitude of the vector T is 6.7 m, the direction of the vector T is an angle of 63.4° (approx)

Part G: Components of vector TT=A+B+2C -  The components of the vector TT= A + B + 2C can be found by summing the respective components of the vectors A, B, and 2C.

The components of a vector define how the vector lies in space with respect to the coordinate system of the space in which it is situated. Thus, to find the components of the vector TT, we can sum the respective components of the individual vectors, A, B, and 2C.The vector T is: T = A + B + 2C.

Thus, we can determine its components in the following way: Tx = Ax + Bx + 2Cx = 2.0 + (-5.0) + 6.0 = 3.0Ty = Ay + By + 2Cy = 5.0 + 2.0 + (-1.0) = 6.0Thus, the components of the vector T are: Tx = 3.0 m and Ty = 6.0 m.

Part H:Magnitude of vector T The magnitude of the vector T, denoted by |T|, is the length of the vector T. In other words, the magnitude of the vector is the distance between its tail and its head.

To find the magnitude of the vector T, we use the Pythagorean theorem.|T| = sqrt((Tx)2 + (Ty)2)|T| = sqrt((3.0)2 + (6.0)2)|T| = sqrt(45) |T| = 6.7 (approx). Thus, the magnitude of the vector T is 6.7 m.

Part I: Direction of vector T in terms of an angle measured counterclockwise from the positive x-axisThe direction of the vector T is given in terms of an angle measured counterclockwise from the positive x-axis. We can use trigonometric ratios to find the angle of the vector with respect to the positive x-axis.

The tangent of the angle is the ratio of the y-component to the x-component of the vector. Tan θ = Ty/TxTan θ = 6.0/3.0 = 2.0θ = tan−1 (2.0)θ = 63.4° (approx)Thus, the direction of the vector T is an angle of 63.4° (approx) measured counterclockwise from the positive x-axis.

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when a decision made in one area of a supply chain has either a positive or negative effect on other areas, it is referred to as a(n) -. 3. Do you think the teaching of Rizal's life and works is still relevant at the present time? Need Help NowWhat was a major cause of the fall of the western roman empireO A. Agustus Ceasar began the pax Romana during his ruleO B. Slave revolts and Plebeian uprising weekend the republic.O C. The Roman army could not stop outside invaders O D. 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I squeezed my eyes closed, counted to three, and jumped!One more lookBy Tanya ButlerWe searched the room for what seemed like the billionth time. There has to be something that will be a clue, I thought to myself. Our team was working to solve the tenth robbery of the month. The suspect was very clever and had not left us many clues to work from.My coworker Dan suggested, Okay team. Lets head out. We have searched this room thoroughly and have found nothing. Lets move on.I headed over to the door while scanning the room. There has to be My thought was interrupted by the sight of a slight smudge on the door frame. Could it be a partial fingerprint? Hold on team!Question 1What is the common theme across the two passages?ResponsesA Be kind to your friends.Be kind to your friends.B Don't be afraid.Don't be afraid.C Never give up.Never give up.D Always look twice.Always look twice.Question 2What makes the theme slightly different in the first passage than the second?ResponsesA In the first passage, the narrator must conquer her own fears, and not give up. In the second passage, the narrator must not give up on finding the clue.In the first passage, the narrator must conquer her own fears, and not give up. In the second passage, the narrator must not give up on finding the clue.B In the first passage, the narrator is trying to go on the zipline. In the second passage, the narrator is a detective.In the first passage, the narrator is trying to go on the zipline. In the second passage, the narrator is a detective.C In the first passage, the narrator is all by herself. In the second passage, the narrator is working with a team.In the first passage, the narrator is all by herself. In the second passage, the narrator is working with a team.D In the first passage, the narrator is a younger person. In the second passage, the narrator is an older person.Help me plesea What describes terra preta? Select ALL that apply.A. unhealthy, depleted soilB. full of nutrients and charcoalC. dark soilD. mixture of burned soil and straw Cul es el idioma oficial de Puerto Rico? a. espaol e ingls c. ingls b. espaol d. frances Please select the best answer from the choices provided A B C D How does the speak feel about her conversion to Christianity? Use textual evidence to supportyour answer. If the non-U. S. Emissions differ by 0. 2 from one year to the next, by how much would you predict the U. S. Emissions todiffer? Round your answer to four decimal places Solve and Simplify -3-7/8 the immediate post-world war i period was marked by violent clashes over what issues? question 10 options: labor issues race issues economic upheaval fear of bolshevism all of the above none of the above, the postwar era was peaceful Find the tangent of angle in the triangle below.A. 4(sqroot)65/65B. 9/5C. 4/9D. (sqroot)65/4E. 9/4 Which statement BEST explains how the setting of this story influencedthe characters' decisions?A)Because the characters are outside after lunch, theycome up with idea to have a race around the grassyfield.B)The characters decide that they will have a big picnicsince they are already outside and it's such abeautiful day.The bad weather in the story forces the characters to-) simply talk about who is the fastest runner ratherthan proving it with a race.Because the students are traveling in a line with their2) teacher, they decide to rebel against their teacherand stage a forbidden race. you enter into an agreement with your father to buy his old car. your father writes out a draft that orders you to pay the agreed price of $5,000 on demand. you accept, sign the draft, and hand the cash over to your father.