A ball is thrown vertically upward from the top of a
building 96 feet tall with an initial velocity of 80 feet
per second. The distance, s (in feet), of the ball from
the ground after t seconds is given by the function:
() = 96 + 80 − 16
2

a. How long does it take for the ball to reach its
highest point?
b. What is the maximum height the ball reaches?

Answers

Answer 1

Answer:

It takes 2.5 seconds for the ball to reach its  highest point

Maximum height is 196 feet

Step-by-step explanation:

h(t) = -16t^2+80t +96

a=-16, b= 80, c=96

To find the maximum height , we need to find vertex

Let find x coordinate of vertex

[tex]t=\frac{-b}{2a}[/tex]

Plug in the values

[tex]t=\frac{-80}{2(-16)}= 2.5[/tex]

It takes 2.5 seconds for the ball to reach its  highest point

Now plug in 2.5 for t to find maximum height

[tex]h(t) = -16t^2+80t +96[/tex]

[tex]h(2.5) = -16(2.5)^2+80(2.5) +96=196[/tex]

Maximum height is 196 feet


Related Questions

The table shows the number of boys and girls that have black, blonde, brown, or red hair color. What portion of the girls have brown hair? (round to nearest hundredth) A) 0.20 B) 0.22 C) 0.40 D) 0.44

Answers

Where the table ? I need more info

Answer:

a

Step-by-step explanation:

i just took this

the following data shows the number of days prom tickets have been on sale and the total number of tickets sold. what is the linear regression equation to match the data?

Day (x) 1 2 5 7 10
Number of prom tickets sold (y) 30 35 55 60 70

Answers

Answer:

Linear regression is the relationship between two variables  x and y

One variable is dependent and the other one is explanatory variable

Regression line equation is shown in the attachment please have a look at it.

Table and graph is shown  in the file attached.

[tex]R^2\text{is the regression over two variables}[/tex]

x represents the number of days prom tickets have been on sale.

y represents  total number of tickets sold.

Find the value of -9-6-(-8)?

Answers

Answer,

-7

Explanation,

Hello! All we are doing here is simply subtraction :-)

-9 - 6 = -15

-15 - (-8) = -7


Hope This Helps :-)



Answer:

im pretty sure it is -7

Step-by-step explanation:

If I have a 68.70 in the grade book and I get a 56/100 on a test that’s worth 20% of my grade what will my grade be now?

Answers

u got a 44 on your test so 20 percent of 68.70 plus the 44

Answer:


Step-by-step explanation: Your answer will be 79.9. To get the answer you multiply 56 and 0.2 to get 11.2.Then you add 11.2+68.70 which gives you 79.9. Hope this help ya!☺


Solve the elimination. 5x+7y=-1 4x-2y=22

Answers

[tex]\left\{\begin{array}{ccc}5x+7y=-1&\text{multiply both sides by 2}\\4x-2y=22&|\text{multiply both sides by 7}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+14y=-2\\28x-14y=154\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad38x=152\qquad\text{divide both sides by 38}\\.\qquad \boxed{x=4}\\\\\text{Put the value of x to the first equation:}\\\\5(4)+7y=-1\\20+7y=-1\qquad\text{substract 20 from both sides}\\7y=-21\qquad\text{divide both sides by 7}\\\boxed{y=-3}\\\\Answer:\ \boxed{x=4\ and\ y=-3\to(4,\ -3)}[/tex]

The numbers of days of rain per month in Seattle, for a period of twelvre
months, are
18, 14, 16, 14, 12,9, 5, 0, 7, 13, 18, 17
What is the range of the data values?

Answers

So remember range means subtract from least number from the greater number in the set.

so the smallest number in the set is 0 and the biggest number is 18.

18-0=18

Range=18

enjoy brainy
homepage 10

Answer:

18

Step-by-step explanation:

Please evaluate. I have no idea what to do with this one.

Answers

Answer: The first box would have the value 504, while the second box has the value 84

==========================================================

Work Shown:

nPr = (n!)/(n-r)!

9P3 = (9!)/(9-3)!

9P3 = (9*8*7*6!)/(6!)

9P3 = 9*8*7

9P3 = 504

--------

nCr = (nPr)/(r!)

9C3 = (9P3)/(3!)

9C3 = (504)/(3*2*1)

9C3 = 504/6

9C3 = 84

note: you can also use the formula nCr = (n!)/(r!*(n-r)!) to compute the combination value, which as you can probably notice, it has the nPr formula buried in it. This is what connects the two concepts of nPr and nCr. The exclamation mark means factorial.

3/7 = x/42

Fill in the blank to make the two fractions equivalent.

Answers

Answer:

x = 18

Step-by-step explanation:

multiplying the denominator of 7 by 6 gives 42, the denominator of the fraction on the right side.

Since the fractions are equal we must then multiply the numerator of the fraction on the left by 6

3 × 6 = 18 ⇒ x = 18


Which two tables represent the same function?
x y
4 8
6 7
x y
4 5
6 4
x y
2 8
8 5
x y
2 10
6 14
x y
2 9
8 6

Answers

Answer:

The 1st and the 5th tables represent the same function

Step-by-step explanation:

* Lets explain how to solve the problem

- There are five tables of functions, two of them are equal

- To find the two equal function lets find their equations

- The form of the equation of a line whose endpoints are (x1 , y1) and

  (x2 , y2) is [tex]\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

* Lets make the equation of each table

# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)

∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7

∴ [tex]\frac{y-8}{x-4}=\frac{7-8}{6-4}[/tex]

∴ [tex]\frac{y-8}{x-4}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 8) = -1(x - 4) ⇒ simplify

∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides

x + 2y = 20 ⇒ (1)

# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)

∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4

∴ [tex]\frac{y-5}{x-4}=\frac{4-5}{6-4}[/tex]

∴ [tex]\frac{y-5}{x-4}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 5) = -1(x - 4) ⇒ simplify

∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides

x + 2y = 14 ⇒ (2)

# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)

∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5

∴ [tex]\frac{y-8}{x-2}=\frac{5-8}{8-2}[/tex]

∴ [tex]\frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 8) = -1(x - 2) ⇒ simplify

∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides

x + 2y = 18 ⇒ (3)

# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)

∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14

∴ [tex]\frac{y-10}{x-2}=\frac{14-10}{6-2}[/tex]

∴ [tex]\frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1[/tex]

- By using cross multiplication

∴ (y - 10) = (x - 2)

∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides

∴ -8 = x - y ⇒ switch the two sides

x - y = -8 ⇒ (4)

# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)

∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6

∴ [tex]\frac{y-9}{x-2}=\frac{6-9}{8-2}[/tex]

∴ [tex]\frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 9) = -1(x - 2) ⇒ simplify

∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides

x + 2y = 20 ⇒ (5)

- Equations (1) and (5) are the same

The 1st and the 5th tables represent the same function

Answer:The 1st and the 5th tables represent the same function!!!!!!!

Margaret goes to the county fair with $35. Rides cost $3 each. Write an equation that gives the amount of money m that Margaret has as a function of the number of rides r that she takes.

Answers

Answer:

11.

Step-by-step explanation:

I got the answer of 11, as I:

-First, I worked out how many rides Margaret would be able to go on, so I did $35 -/- $3, which was a decimal, but the most amount of times would be 11 rides that she could go on, therefore, that's the amount of rides she would take, and have $2 left over.

Hope this helps!

--Emilie Xx

Answer:

3r = 35

Step-by-step explanation:

Margaret goes to the country fair with $35.00

Each rides cost at the fair = $3.00

Let she can take number of rides = r

The cost of rides = 3r

She has $35 so the equation will be

3r = 35

r =  [tex]\frac{35}{3}[/tex]

r =  [tex]11\frac{2}{3}[/tex]

Therefore she can take 11 rides. She spent on 11 rides 11 × 3 = $33.00

So she has left $2.00 with her.

What is the value of x?

x = 2.25
x = 11.25
x = 13
x = 22

Answers

Answer:

x=22

Step-by-step explanation:

The exterior angle is the sum of the 2 opposite interior angles of a triangle

6x+1 = 79+2x+10

Combine like terms

6x+1 = 89+2x

Subtract 2x from each side

6x-2x+1= 2x-2x+89

4x+1 = 89

Subtract 1 from each side

4x+1-1 =89-1

4x = 88

Divide by 4

4x/4 = 88/4

x =22

Compare |−1.37| and |1.21|.

A) |−1.37| > |1.21|
B) |−1.37| < |1.21|
C) |−1.37| = |1.21|
D) |−1.37| ≤ |1.21|

Answers

The answer would be A because it is asking how far away from zero is the number so 1.37 is greater than 1.21
Final answer:

The symbol '|' denotes absolute value, which measures the distance of a number from zero. Therefore, |-1.37| equals 1.37 and |1.21| equals 1.21. Since 1.37 is greater than 1.21, the absolute value of -1.37 is greater than 1.21.

Explanation:

In mathematics, the symbol '|' denotes absolute value. The absolute value of a number measures its distance from zero, ignoring whether it is positive or negative. Hence, |-1.37| and |1.21| mean how far away -1.37 and 1.21 are from zero on the number line, respectively.

|-1.37| equals 1.37 and |1.21| equals 1.21. So, 1.37 is greater than 1.21. This means that A) |-1.37| > |1.21| is the correct option. In other words, the absolute value of -1.37 is greater than the absolute value of 1.21.

Learn more about Absolute Value here:

https://brainly.com/question/4691050

#SPJ2

Which is the approximate solution for the system of equations x+5y=10 and 3x+y=1?

Answers

Answer: The approximate solution is (-0.36, 2.08).

Step-by-step explanation:

Given system of equations :

x+5y=10 and 3x+y=1.

Let us solve the system of equation by substitution.

Solving second equation 3x+y=1 for y first.

3x+y=1.

Subtracting 3x from both sides, we get

3x-3x+y=1-3x

y = 1-3x.

Substituting y=1-3x in first equation x+5y=10, we get

x+ 5(1-3x) = 10.

x + 5 -15x =10

-14x +5 = 10.

Subtracting 5 from both sides, we get

-14x +5-5 = 10-5

-14x =5

Dividing by -14 on both sides, we get

-14x/-14=5/-14

x= -0.36.

Plugging x=-0.36 in second equation y=1-3x, we get

y = 1-3(-0.36) = 1+1.08 = 2.08.

Therefore, approximate solution is (-0.36, 2.08).

Answer:

A (–0.3, 2.1)

Step-by-step explanation:

How to write into an equation

Answers

[tex]\bf \stackrel{\textit{sum of 22 and \underline{g}ail's height}}{22+g}~~\stackrel{is}{=}~~74\implies 22+g=74[/tex]

-3(y+3)=2y+3 what does y equal?

Answers

[ Answer ]

Y = -12 / 5

[ Explanation ]


Expand:

-3y - 9 = 2y + 3


Add 9 to both sides:

-3y - 9 + 9 = 2y + 3 - 9


Simplify:

-3y = 2y + 12


Subtract 2y from both sides:

-3y - 2y = 2y + 12 - 2y


Simplify:

-5y = 12


Divide both sides by -5:

-5y / -5 = 12 / -5


Simplify:

Y = -12 / 5


<> Arsenal <>




hEY YOU! PLEASE STOP SCROLLING AND HELP ME?! I’LL GIVE YOU MY MOM (she makes rlly good cookies) A few years ago, a total of 2692 thousand people lived in metropolitan areas of LA, Nevada, and Sacramento. Sacramento had 284 thousand more residents than LA. What was the population of each metropolitan area? What was the population of Sacramento? What was the population in LA?

Answers

Answer:

Nevada haves 3 million people and sacramento haves 495,234 people so if we add them it would be 3,495,234

Step-by-step explanation:


Answer: Is your mom hot

The running time for each male and female runner in a race can be represented as an ordered pair

true or false?

this is for math 1 data analysis.

Answers

Ordered pairs can be used to represent the running times for male and female runners in a race, allowing for effective data analysis and comparison. The correct statement is option a) True.

The running times for each male and female runner in a race can indeed be represented as an ordered pair. This is true because an ordered pair (e.g., (time, gender)) can be used to encapsulate two pieces of related information about each runner's performance. In your math 1 data analysis, this approach enables the comparison of run times between different runners or across genders, which could be useful when analyzing the data and looking for patterns or trends.

For example, if a female runner finished a race in 2 hours, 30 minutes, and a male runner finished in 2 hours, 45 minutes, their running times could be represented by the ordered pairs (2:30, Female) and (2:45, Male) respectively. This compact representation is particularly helpful when you want to create a visual display of the data, such as a scatter plot, or perform statistical analysis to investigate questions such as improvements in run times or the closing of the gender gap.

Thus, the correct statement to the student's question is option a) True.

At the end of the summer a store marks down the outdoor furniture 8% a family bought 4 chairs in June at 35$ each then 2 more chairs when they went on sale how much did all 6 chairs cost?

Answers

Answer:

$35(4) + $35(.92)(2) = $140 + $64.40 = $204.40

In a parallelogram MNOP, PK=5x and KN =x(squared) -14

What is PN

Answers

Answer:

PN = 70

Step-by-step explanation:

using the property that the diagonals bisect each other, then

PK = PN

5x = x² - 14 ( rearrange into standard form )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 2 = 0 ⇒ x = - 2

but x > 0 ⇒ x = 7

PN = PK + KN = 5x + x² - 14 = (5 × 7) + 7² - 14 = 35 + 49 - 14 = 70




evaluate the expression

6+4 divided 2 - 3 X2

Answers

Answer:

2

Step-by-step explanation:

PEMDAS is the order of operations.

There are no parenthesis, so we can ignore that.

Same with exponents, there arent any in this equation.

MD means you have to multiply or divide before you add or subtract. Wether you multiply or divide first depends on which comes first left to right. So, we divide 4 by 2, which is 2

Our present equation is 6+2-3x2

Now, we multiply 3 by 2.

Our present equation is now 6+2-6

Now, we simply add and subtract, depending on which comes first left to right. Add 6 and 2.

8-6

Now subtract.

Our answer is 2.

Hope this helps! (Please give brainliest I just need one more!)


The answer would be 2

Corey used the regression equation y = 1.505x − 88.21, where x is the temperature and y is the number of swimmers, to determine a possible outside temperature when 80 swimmers are at City Pool. 1. y = 1.505(80) − 88.21 2. y = 120.4 − 88.21 3. y = 32.19 4. If there are 80 swimmers at the pool, the temperature is likely to be 32.2°F. Analyze Corey’s work to find his error. What is Corey’s mistake?

Answers

x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80

This is how Corey should have solved

y = 1.505*x - 88.21

80 = 1.505*x - 88.21 <--- replace y with 80

1.505*x - 88.21 = 80

1.505*x = 80 + 88.21 <--- add 88.21 to both sides

1.505*x = 168.21

x = 168.21/1.505 <--- divide both sides by 1.505

x = 111.767

x = 111.8

If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval.

Answer:

If you don't want to read all of that the answer is:

A- He substituted 80 for x instead of y.

Step-by-step explanation:

I just did it on Edge 2020 and got it right...

the second time

PLEASE MARK ME BRAINLIEST!!

what is the slope of the line?
-2
- 1/2
1/2
2

Answers

Answer:

-1/2

Step-by-step explanation:

Using rise/run we can go up 1 and over 2 to get to the next point. When a line is graphed going from top left down to the right, it is negative.

I hope that helps u out!!

Good luck! :)

Answer:

-1/2

Step-by-step explanation:

Grab a graphing calculator and enter the two points into STAT.

Click STAT again and then click the right arrow and then click the 4 button. press enter 4 times and then wa-la you got your answer

:)

Solve -3n + 4 ≥ -8.
n ≥ 4
n ≤ 4
n ≥ -4
n ≤ -4

Answers

Answer:

n ≤ 4

Step-by-step explanation:

-3n + 4 ≥ -8.

Subtract 4 from each side

-3n + 4-4   ≥ -8-4

-3n   ≥ -12

Divide by -3 on each side, remembering to flip the inequality

-3n/-3 ≤ -12/-3

n≤4

-3n + 4 ≥ -8         Subtract 4 on both sides

-3n + 4 - 4 ≥ - 8 - 4

-3n ≥ - 12        Divide -3 on both sides to get "n" by itself

n ≤ 4    (when you multiply or divide a negative number on both sides of the inequality, you flip the sign(< > ≤ ≥))


The 2nd option is your answer


Jackson has n autographs in his autograph book. Yesterday he got 3 more autographs. Write an expression to show how many autographs are in his book now.

Answers


[tex]3 + n[/tex]
that's the answer

Final answer:

The expression for the total number of autographs Jackson has after getting 3 more is 'n + 3', where 'n' represents the original number of autographs.

Explanation:

Jackson currently has n autographs in his autograph book. Since he obtained 3 more autographs yesterday, we can express the total number of autographs he now has by creating a simple algebraic expression. You add the number of new autographs to his original count. The expression that represents the total number of autographs in Jackson's book now is n + 3.

An isosceles triangle has angle measures of 50, 50, and 80. The side across from the 80 angle is 10 inches long. How long are the other sides

Answers

Answer:

I believe it would be 7.8

Step-by-step explanation:


Answer:

7.78 (apex) :)

Step-by-step explanation:

9 pencils cost $7.74 which equation would help determine the cost of 6 pencils

Answers

Final answer:

To find the cost of 6 pencils when 9 cost $7.74, solve for the cost of one pencil, which is $0.86, and then multiply by 6 to get $5.16.

Explanation:

To determine the cost of 6 pencils when 9 pencils cost $7.74, we can start by finding the cost of one pencil and then multiplying that cost by 6. Let the cost of one pencil be x dollars. The equation representing this situation would be 9x = 7.74. To find the cost of one pencil, solve for x:

Divide both sides of the equation by 9: x = 7.74 / 9.Calculate the result: x = 0.86 (rounded to two decimal places).Now, to find the cost of 6 pencils, multiply the cost of one pencil by 6: 6 × 0.86.Therefore, the cost for 6 pencils is $5.16 (rounded to two decimal places).

15pts!
Without graphing, determine whether the system x - 3y = 11 and 2x - 6y = -5

has one solution, no solution, or infinitely many solutions.

Answers

x=11+3y. so 2x-6y=-5 <=>2x(11+3y)-6y=-5
<=>22+6y-6y=-5 <=> 22=-5 (nonsense)
no solution

. Points A (-1,y) and B(5,7) lie on a circle with centre O(2, -3y). Find the values of y. Hence find the radius of the circle

Answers

Answer: y = 7, y = -1

Step-by-step explanation:

Since both A and B lie on the circle, their distances to the origin is the radius which will be equal.

[tex]d_{AO}=\sqrt{(-1-2)^2+(y + 3y)^2}\\d_{BO}=\sqrt{(5 - 2)^2+(7 + 3y)^2} \\\qquad \qquad \qquad \qquad d_{AO} = d_{BO}\\\sqrt{(-1-2)^2+(y + 3y)^2}=\sqrt{(5 - 2)^2+(7 + 3y)^2}\\\sqrt{(-3)^2+(4y)^2}=\sqrt{(3)^2+(7 + 3y)^2}\\\sqrt{9+16y^2}=\sqrt{9+(49+42y+9y^2)}\\\sqrt{9+16y^2}=\sqrt{58+42y+9y^2}\\(\sqrt{9+16y^2})^2=(\sqrt{58+42y+9y^2})^2\\\\9+16y^2=58+42y+9y^2\\7(y^2-6y-7)=0\\7(y - 7)(y + 1)=0\\y - 7 = 0 \qquad\text{and}\qquad y + 1 = 0\\\quad y = 7 \qquad \text{and}\qquad y = -1[/tex]

A shark can chase prey at about 30 miles per hour. What is the rate in miles per minute?

PLEASE HELP ME! THIS IS UNIT RATES AND I SUCK AT IT.

Answers

Answer:


Step-by-step explanation:

by using unitary method, we will convert miles per hour into miles per minute in 60 minutes the shark can chase the prey 30 milesIn 1 minute the shark can chase Hence the shark can chase the prey about 0.5 miles per minute.

Clyde ran 3 1/3 miles on Friday. On Saturday, he ran 4 2/7 times that distance. How far did Clyde run on Saturday?

Answers

Answer:

100/7 miles

Step-by-step explanation:

So 3 1/3 can be written as 10/3 and 4 2/7 can be written as 30/7. So multiplying, we get 300/21 which can be simplified to 100/7.

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Siddhartha Gautama once said You lose only what you cling to. This quotation best represents the religious views of which religion? If a chemical reaction such as photosynthesis begins with 6 atoms of carbon (C), how many atoms of carbon (C) should be in the products?A)2 atoms of carbon (C)B)3 atoms of carbon (C)C)6 atoms of carbon (C)D)12 atoms of carbon (C) what best describes transduction in bacteria How did new western state constitutions affect free african american men's right to vote Complete the equation of the graphed linear function in point-slope form. y (2) = (x ) The graph of the function goes through point 1, negative 2 and point 2, 2. Jaden made a pot of chili with 48 ounces of ground beef and 2 tablespoons of chili powder. He made another pot of chili with the same amount of ground beef, but he used 3 times as much chili powder. How many pounds of ground beef per tablespoon of chili powder did he use in the second pot of chili WHOEVER GETS THE RIGHT ANSWER WILL GET BRAINLIEST ANSWER "Dog Talk." Listen. Do you hear it? No matter where you are, if you stick your head out a window for a minute or two you'll probably hear a dog barking. What is it they're trying to say? Does that racket actually mean something? Why do dogs bark? Which best explains how the passage supports the author's purpose?The purpose is to instruct; it provides supporting details about the abilities of dogs.The purpose is to entertain; it uses a humorous tone.The purpose is to inform; it asks a question that will be answered by the text.The purpose is to persuade; it is trying to convince you that you are the smartest animal of all. solve for x4/73/712.512(i have a few more also) The 1932 presidential election was between Herbert Hoover and Franklin Delano Roosevelt. Why do you think most people were focused on the economy on 1932? 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Given that (2,9) is on the graph of f(x) find the corresponding point for the function f(x+2) The theory of plate tectonics came from the idea of continental drift, which was proposed in the early 20th Century by A)Max Planck. B)Gottlob Frege. C)Alfred Wegener. D)Werner Heisenberg.Which geological features MOST LIKELY prompted the development of the theory of plate tectonics?A)river deltasB)glacier fieldsC)mountain rangesD)tropical rainforests35) All BUT ONE statement provides evidence supporting plate tectonics, through data collected at the sites of sea floor spreading. That isA)paleomagnetic reversals in specific areas of the sea floor.B)a large occurrence of earthquakes along specific lines within the Earth's oceans.C)the presence of unique species in remote locations, such as Australia and New Zealand.D)an increase in the thickness of ocean crust as you move away from the area of spreading.36) The origins of the theory of plate tectonics began when German scientist, Alfred Wegener, proposed the idea ofA)superposition.B)continental drift.C)natural selection.D)paleomagnetic reversals.37) In the early 1900s German geophysicist Alfred Wegener began to question how the structures on the Earth formed over time. He proposed the Theory of Continental Drift to suggest that all continents were once connected and have "drifted" to their current location over time.What was the main reason that Wegener's theory received a lot of ridicule from the scientific community?A)No similar fossils were found on different continents.B)There was no data to suggest any change in geologic structures.C)Wegener did not give a method on how the continents actually moved.D)The outlines of the continents looked like puzzle pieces that would fit together.38) Mars rotates by 360 degrees on its axis in 24 hours and 39 minutes. Which of these is equivalent to 24 hours and 39 minutes on Mars?A)A dayB)A yearC)A weekD)A month Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the equation. 4(px+1)=64 The value of x in terms of p is ____ . The value of x when p is 5 is____ . Solve the following problems: Given: AFD, m F = 90 AD = 14, m D = 30 Find: Area of AFD how to write slope-intercept form through (-1,3) and a slope of -1 Which statement is correct for pure water? A) Pure water contains equal amounts of hydroxide, [OH-], and hydronium, [H3O+], ions. B) Pure water contains larger amounts of hydroxide, [OH-], ions than hydronium, [H3O+], ions. C) Pure water contains larger amounts of hydronium, [H3O+], ions than hydroxide, [OH-], ions. D) Pure water is an electrolyte. Steam Workshop Downloader