Find the surface area AND
volume of this figure.

Find The Surface Area ANDvolume Of This Figure.

Answers

Answer 1

We get the surface area as 202 inches² and volume as 168 inches³.

The surface area of a cuboid is given by:

Surface area = 2xy + 2xz + 2yz

Here length = x = 7 inches

Breadth = y = 3 inches

Height = z = 8 inches.

Substituting the values in the formula, we get that:

Surface area = A = 2(7)(3) + 2(7)(8) + 2(3)(8) inches²

A = 42 + 112 + 48 inches²

A = 42 + 160 inches²

A = 202 inches²

Volume of a cuboid is given by :

Volume = xyz

Substituting the values, we get that:

Volume = (7) (3) (8) inches³

Volume = 21 × 8 inches³

Volume = 168 inches³.

Therefore, we get the surface area as 202 inches² and volume as 168 inches³.

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Related Questions

*PLS HELPPP*
Yolanda is buying supplies for school. She buys n packages of pencils at $1.10 per package and m pads
of paper at $1.70 each. What does each term in the expression 1.1n +1.7m represent? What does the
entire expression represent?
The term 1.1n represents the (select)
The term 1.7m represents the (select)
The expression represents the (select)

Answers

Answer:

1.1n represents the cost of the pencils

1.7m is the cost of the pads of paper

The expression represents that she bought a package of pencils and a pad of paper

Step-by-step explanation:


Jorge Rodriguez earns an annual salary of $48,000. What are his weekly wages?

Answers

Answer:

923.08

Step-by-step explanation:

48000/52 weeks

Answer:

923.08

Step-by-step explanation:

There are 52.1429 weeks in a year, so divide.

What formula would you use to find 50 is what percent of 20?
a) p = rb
b) r = p/b
c) i = prt
d) b = p/r

Answers

We would use r = p/b formula to find 50 is what percent of 20.

The correct answer is an option (b)

For given question,

we need to find the formula which we use to find 50 is what percent of 20

We make the assumption that 20 is 100% since it is our output value.

Let the value we seek be m.

So, 100 % = 20 ...............(1)

m % = 50           ..............(2)

By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

[tex]\frac{100\%}{m\%}=\frac{2}{5}[/tex]

So, m = 250%

This means, 50 is 250% of 20

The formula PERCENTAGE  p = rb – The result obtained when a number is multiplied by a percent.

The formula BASE ( b = p/r) – The whole in a problem. The amount you are taking a percent of.

The formula RATE (r = p/b) – The ratio of amount to the base. It is written as a percent.

Therefore, we would use r = p/b formula to find 50 is what percent of 20.

The correct answer is an option (b)

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Necesito ayuda con los ejercios 3,5,7,9,11,13​

Answers

Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

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(50 Points!!!)

Gwen is finding the area of the shaded sector in the given circle, which has a circumference of 6 units.

Identify the step where Gwen first made an error.

A. Step 5
B. Step 6
C. Step 3
D. Step 7

Answers

The step in which Gwen made an error for the area of the shaded region in the circle is given by:

A. Step 5.

What is the measure of the circumference of a circle?

The circumference of a circle of radius r is given by:

C = 2π r.

For this problem, the circumference is of 6π units, hence the radius is given as follows:

6π = 2π r.

r = 6/2.

r = 3 units.

What is the area of a circle?

The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:

A = πr².

The entire area of the circle englobes 360º, but we want only the area at an angle of 72º, hence it is given by:

A = (72/360) πr².

Which is where Gwen made an error, at Step 5, hence option A is correct.

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Different plans are available from two cellphone carriers. AT&K charges a monthly flat rate of $100 plus $10 for each gigabyte of data used,verikon communications does not have a flat rate, but instead charges $40 for each gigabyte of data used let c represent your total cost and d represent the data used. What is the equation system that represents these two plans

Answers

The equation system to represent these two plans is:

c=100+10d, c=40d where c is the total cost and d represents the data used.

We have to understand the plans provided by AT&K and Verikon separately to find the equation system. We know that the total cost incurred is c and the amount of data used is d. It is given that AT&K charges a monthly flat rate of $100 and additional $10 for every gigabyte of data used. We can say that for a month the total cost incurred from AT&K is $100 plus $10xd, the amount of data used.

c=100+10d

For verikon it is given that it does not have any flat monthly rate and it charges $40 for each gigabyte of data used.We can easily say that the total cost in this case is $40 multiplied to amount of data used.

c=40d

Thus the system of equation for the two different plans is

c=100+10d and c=40d

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Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil? 5,730 years old 34,380 years old 40,110 years old 45,840 years old?

Answers

Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

What is calibration?Calibration is the comparison of measurement values delivered by a device under test with those of a calibration standard of known accuracy in measurement technology and metrology. A standard could be another known-accuracy measurement device, a device that generates the quantity to be measured, such as a voltage or a sound tone, or a physical artifact, such as a meter ruler. Calibration's goal is to reduce measurement uncertainty by ensuring the accuracy of test equipment. Calibration quantifies and controls measurement errors or uncertainties to an acceptable level.

So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.

Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?

a. 5,730 years old

b. 34,380 years old

c. 40,110 years old

d. 45,840 years old

misha is the 50th best as well as the 50th worst student in her grade. how many students are in misha's grade?

Answers

There are 99 students in Misha's grade.

What do we mean by Venn diagrams?A Venn diagram is a popular diagram style that shows the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach elementary set theory and to illustrate simple set relationships. To represent sets, a Venn diagram employs simple closed curves drawn on a plane. These curves are frequently circles or ellipses.

So,

We'll make a Venn diagram (consider the diagram given below).Misha is common in both groups.According to the diagram, 49 + 49 + 1 = 99.

Therefore, there are 99 students in Misha's grade.

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Please help due soon.

Answers

Answer:

Step-by-step explanation:

Answer:D

Step-by-step explanation:

33. In this code puzzle each letter has a different numerical value. The totals for each word are reached by adding together individual values. What is the total value of the word ENTREE?
tea = 30
neat = 50
tan = 40
ten = 35
tear = 55

Answers

Answer:

tear 35 is ans

pla mark me brainliest ans

Answer:

Hello,

Answer 80

Step-by-step explanation:

[tex]\left\{\begin{array}{cccc}t+e+a&=&30&(1)\\n+t+e+a&=&50&(2)\\t+a+n&=&40&(3)\\t+e+n&=&35&(4)\\t+e+a+r&=&55&(5)\end{array} \right.\\\\\\\left\{\begin{array}{cccc}n&=&20&(2)-(1)=(6)\\t+a&=&20&(7)\\t+e&=&15&(8)\\r&=&25&(5)-(1)=(9)\\t+e+a&=&30&(1)\end{array} \right.\\\\\\\left\{\begin{array}{cccc}n&=&20&(6)\\t&=&5&(7)+(8)-(1)=(10)\\a&=&15&(7)\ and \ (10)\\e&=&10&(8)\ and \ (10)\\r&=&25&(9)\\\end{array} \right.\\[/tex]

[tex]\\\\\boxed{ENTREE=3*e+n+t+r=3*10+20+5+25=80}\\[/tex]

Describe maysa's error. explain how you would use a model or place-value concepts to help maysa build understanding. give the correct answer in your explanation.

Answers

2/3 would use a model or place-value concepts.

What is probability?

The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.

The possible rolls are 1,2,3,4,5,6  total of 6

2 or less than 5 rolls are 1,2,3,4  total of 4

P (2 or less than 5) = total number of choices of 2 or less than 5 / total

                               =4/6

                                   =2/3

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gerry withdraws all the principal and interest after the first year and deposits it into another one year account at the same rate. what will his interest be for the second year? d. what will his balance be after two years ?

Answers

a. Interest of the first year = $26.93

b. Balance after the first year = $1256.93

c. Interest for the second year = $27.52

d. Balance after the second year = $1284.45

Although a part of your question is missing, you might refer to this full question: Gerry deposited $1230 in an account that pays 2.19% simple interest for one year.

a. How much interest will he earn in one year?

b. What will be his balance after one year?

c. Gerry withdraws all of the principal and interest after the first year and deposits into another one-year account at the same rate. What will be his interest for the second year?

d. What will his balance be after two years?

Principal = $1230

Rate = 2.19%

Formula to be used:

Simple interest = (P*R*T)/100

where P = principal

R = rate

T = time in years

Calculating interest for the first year:

S.I = (1230*2.19*1)/100

S.I = 26.93

So, he will earn $26.93 as interest in the first year

And balance after the first year will be $1256.93

Solving for the second year:

P = 1256.93

S.I = (1256.93*2.19*1)/100

= 27.52

So, interest for the second year will be $27.52

And balance after the second year will be $1284.45

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The line y=x+1 intersects the graph of y=x^2-3x-11 at the points A and B

Find the coordinates of A and B

Answers

Answer:

(6, 7) and (-2, -1)

Step-by-step explanation:

if y=x+1 intersects with y=x^2-3x-11

then we need to find x and y such that both of those equations are true.

If y = x + 1 is true and y=x^2-3x-11, then

y - y = x^2-3x-11 - x - 1 is also true

0 = x^2 - 4x - 12

use your preferred method to solve the quadratic equation

0 = (x - 6)(x + 2)

x = 6 or x = -2

now for each x we take y from either equation, but y = x + 1 is simpler.

for x = 6 the coordinates are (6, 7) and for x = -2 the coordinates are (-2, -1)

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2. how far is the point from the axis of rotation of the second hand?

Answers

The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

[tex]a_{c} = \frac{v^{2} }{r}[/tex]

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

[tex]v = wr = \frac{2\pi r}{T}[/tex]

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

[tex]a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm[/tex]

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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The number of rabbits on a farm at the end of month n is Pn The number of rabbits at the end of the next month is given by Pn+1 = 1.2P - 50 At the end of March there are 200 rabbits on the farm. (a) Work out how many rabbits there will be on the farm at the end of June. (b) Considering your results in part (a), suggest what will happen to the number of rabbits on the farm after a long time.​

Answers

We need to know how to solve the equations by substituting values for this problem. (a)The number of rabbits on the farm at the end of June is 164 and (b) after a long time the number of rabbits on the farm will become zero.

In the given question we know that the number of rabbits on a farm at the end of month n is [tex]P_{n}[/tex] and that the number of rabbits at the end of the next month is [tex]P_{n+1} =1.2P_{n} -50[/tex]. We know that the number of rabbits at the end of March is 200, so we can have [tex]P_{1}[/tex]=200, we need to find the number of rabbits at the end of June, which will be [tex]P_{4}[/tex], we can form an equation from here

[tex]P_{4} =1.2P_{3} -50[/tex]

Since we don't know what [tex]P_{3}[/tex] is we can replace it by [tex]P_{2}[/tex] and then replace that by [tex]P_{1}[/tex].

[tex]P_{4} =1.2P_{3} -50\\P_{4} =1.2(1.2P_{2} -50)-50\\P_{4} =1.2(1.2(1.2P_{1} -50)-50)-50 = 1.2(1.44P_{1} -60-50)-50=1.728P_{1} -72-60-50=1.728P_{1} -182[/tex]

We know that [tex]P_{1} =200[/tex]

So, [tex]P_{4}[/tex]=1.728x200-182=345.6-182≈164

Therefore the number of rabbits at the end of June is 164 and after a long time the number of rabbits on the farm might become zero since the number of rabbits is decreasing with every month.

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If a closet organizer has a total width of 69 1/8 inches and the closet is 69 3/4 inches wide, will the organizer fit?

Answers

Yes the organizer will fit. See the explanation of the word problem below.

How do you know that the organizer will fit?

Because 3/4  = 6/8,

69 6/8 is larger than 69 1/8 by 5/8".

That is 6 eighths minus 1 eighth is 5 eighths).

Hence, we may disregard the 69 inches because there is no difference in total inches.

The only distinction is in fractions of an inch.

Hence the organizer will be able to fit inside the closet.

What is a word problem?

A word problem in mathematics is a math question expressed in one or more sentences that demands students to apply their arithmetic skills to a'real-life' setting.

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Lupita has five times as much money as David. Lupita also has $20 more than David. How much money does each person have?

Answers

20x5 is 100 for each

Choose the graph that depicts one-to-one function

Answers

Answer:

Using the horizontal line test, the one to one functions are those which do not intersect with the line more than one time

In the given graphs, the fourth graph represents the one - one fucntion.

Use the concept of graph of fucntion defined as:

Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.

The graph of a one-to-one function is a representation that shows each input value (x) uniquely paired with a corresponding output value (y), with no repetition or overlap in the mapping.
It passes both the vertical line test and horizontal line test, ensuring each input has a distinct output and vice versa.

In the fourth graph:

Apply the vertical line test and we get,

Each input has a distinct output.

Hence,

The fourth graph represents the one-one fucntion.

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The tallest building in the world is the Burj Khalifa tower in Dubai in the United Arab Emirates2. The elevator within the tower descends at a rate of 33 feet per second.3

Suppose you get on the elevator at the observation deck. After
10 seconds, you look at the display and see that you are now
1,490 feet above ground. Use the point-slope formula to find the linear equation for this situation. Let H(t) represent the height of the elevator above the ground t seconds after the elevator begins to descend.

Answers

The linear equation to calculate the height is H(t)=33t.

Given that the elevator descends at the speed of 33 feet/second.

If a person gets on the elevator at the observer deck and after 10 seconds he finds himself at 1490 feet above the ground then height descended  in 10 seconds= 33×10

                                         = 330 feet

The height of the observer deck from the ground = 1490+330

                                                                             = 1820 feet

The required equation to calculate the height of above the ground H(t)=33t.

We can calculate  the height of the elevator at any instant using the above expression.

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Find the equation of the line show

Answers

Answer:

the equation is y=1/2+0.5

three quarters of the 84 crayons are broken. How many crayons are broken?

Answers

21 crayons are broken

Answer:

63 crayons are broken

Step-by-step explanation:

84 ÷ 4 = 21

21 x 3 = 63

can be checked by 84 - 63 = 21

Jason is driving his car at 55mi/h he needs to keep his car within 5 mi/h of his current speed. write and solve an absolute-value equation to find jason's max and min speeds.

Answers

The absolute-value equation to find Jason's max and min speeds is |x| = |55 ± 5| mi/h and the maximum speed is 60 mi/h and the minimum speed is 50 mi/h.

Absolute Value equation:

An absolute value equation in the form | ax + b | has the following properties:

If c < 0 , | a x + b | = c has no solution .

If c = 0 , | a x + b | = c has one solution .

If c > 0 , | a x + b | = c has two solutions .

Given,

Jason is driving his car at 55mi/h he needs to keep his car within 5 mi/h of his current speed.

Here we need to write solve an absolute-value equation to find Jason's max and min speeds.

We know that, the current speed = 55 mi/h

And he want to keep the speeds within 5 mi/h of his current speed.

Let x be the unit that measure the maximum and minimum speed.

So,

The maximum speed.

|x| = 55 + 5 = 60 mi/h

and the minimum speed,

|x| = 55 - 5 = 50 mi/h

So, the absolute value of the equation is,

|x| = |55 ± 5| mi/h

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Rewrite literal equations.
Solve for m:
e=mc squared.

Answers

Answer:

m = e/c

Step-by-step explanation:

Q/R = g/F solve for F

Answers

Answer:

the answer is

Step-by-step explanation:

Q/R= G/F

= QF=GR

divide both sides by Q

Q and Q are off so

therefore F= GR/Q

If your car gets 34 miles per gallon, how much does it cost to drive 330 miles when gasoline costs $3.40 per gallon?

Answers

Answer:

$33.

Step-by-step explanation:

330 miles x (1 gal/34 miles) x ($3.40/gal)= $33.

I hope this helps, have a blessed day! :)

Answer:  $33

Step-by-step explanation:

1 gallon=$3.40

Hence,

Make a proportion:

 34 milles -  $3.40

330 milles - x gallones

Thus,

[tex]\displaystyle\\x=\frac{330*3.40}{34} \\\\x=\frac{33*34}{34}\\\\x=33\ dollars[/tex]

3y + 6 = 4 - 7y

solve for y and show steps!​

Answers

answer: y = 1/5

Explanation:
3y + 6 = 4 - 7y
+7y + 7y
10y + 6 = 4
-6 -6

10y = -2
—— ——
10 10

Y= 2 1
— or —
10 5

Answer:

3y+7y=4-6

10y= -2

y= -2÷10

y =1/2

Ans

Two students are running on a circular path. It takes the first student 20 minutes to complete one lap, and it takes the second student 35 minutes to complete one lap. If they both start at the same time and run in the same direction, when will they meet each other at the starting point?

5 minutes
55 minutes
140 minutes
175 minutes

Answers

The time they would both meet at the starting point is 140 minutes (third option).

When would they meet at the starting point?

The time they would both meet at the starting point will be a common multiple of the time it takes each of them to complete a lap.

A multiple of a number is the product of an integer and that number. A common multiple is a multiple that is common to two or more numbers.

Multiple of 20 = 20, 40, 60, 80, 100, 120, 140

Multiple of 35 = 35, 70, 105, 140, 175

Lowest common multiple of 20 and 35 = 140

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Please Help!!
Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve.
6x^(2)-x-2=0

Answers

the discriminant is:

D = (-1)^2 - 4*(-2)*6 = 49

We have a positive discriminant, which means that we have two real solutions.

How to find the discriminant?

For the general quadratic equation, the discriminant is:

a*x^2 + b*x + c = 0

The discriminant is:

D = b^2 - 4ac

In this case, the quadratic equation is:

6*x^2 - x - 2 = 0

Then we have:

a = 6, b = -1, c = -2

Replacing that in the discriminant equation:

D = (-1)^2 - 4*(-2)*6 = 49

We have a positive discriminant, which means that we have two real solutions.

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TASK 2-Percentages (34 Marks)
Topic: Finding Percentages
1. Suppose you have a grandmother who gives you one cent on your first birthday. The
next year she gives you 3 cents, the following year 9 cents. Each year she triples the
amount she gave the year before until you are 13.
How much money would you have on your 12 birthday? you would have
$154
72
(a) Complete the table below (BMarks)
Birthday
1
2
3
4
5
6
7
8
9
10
11
12
13
Total
Money
1c
3c
9c
27c
81c
$2.43
34 86
39 72
$19 34
338 68
377 36
$154 72
Percentage
3309-44
$309 44
(b) What percentage is the amount of money on your 12th birthday to the total money
given by your grandmother. Your percentage need to be corrected to two decimal
places. You need to show all the steps for your percentage calculation.

Answers

Answer:

1; 1

2:3

3:9

4:27

5:81

6:243

7:729

8:2,187

9:6,561

10:19,683

11:59,049

12:177,147

(3x-5)/4 is less than or equal to -1

How to solve for x?

Answers

Step-by-step explanation:

[tex] \frac{3x - 5}{4} \leq1[/tex]

[tex]3x - 5 \leq1 .4[/tex]

[tex]3x - 5 \leq4[/tex]

[tex]3x \leq4 + 5[/tex]

[tex]3x \leq9[/tex]

[tex]x \leq \frac{9}{3} [/tex]

[tex]x \leq3[/tex]

x = {3,2,1,0,...}

Other Questions
through: (1, 5), parallel to` y = 8x +4 A rectangle garden has a length of 5 less than 2 times the width. the perimeter if 50 meters. what are the side lengths? What is TRUE about Newtons first law of motion? A. It explains how the SAID principle works.B. It cannot be applied to personal fitness routines.C. It has been widely disproven over centuries of testing.D. It says that moving objects will keep moving if possible. if 3^n is a factor of 100!, what is the largest possible value of n Founding Brothers: The Revolutionary Generation Chapter Six: The FriendshipWhat were Adam's two criticisms of Jefferson during their political careers? 50 POINTS FOR THIS QUESTION! Did the revolutionary war have a truly revolutionary effect on Britains former colonies ? Which of the following best describes life for young women working in factories in the us in the early 18002 (problem is given by the image) Describe how fast food restaurants are an example of social globalization When the demand for bonds ________ or the supply of bonds ________, interest rates rise. Does the note on the staff correspond with the highlighted note on the keyboard? Paula could not reach an agreement with the irs at her appeals conference and has just received a 90-day letter. If she wants to litigate the issue but does not have sufficient cash to pay the proposed deficiency, what is her best court choice?. Which part of the constitution is mainly responsible for enumerating the powers of the national government? Exercise 2 Circle the infinitives and infinitive phrases in each sentence below. Then change each infinitive to a gerund and write the gerund form on the line at the left.Since we were playing our arch rivals, to lose the game would have been humiliating. Which of the following elements would you expect to be most reactive, basedon the number of valence electrons it has?O A. Potassium (K)OB. Titanium (Ti)O C. Iron (Fe)O D. Calcium (Ca) Bladder wrack grows more quickly than saw wrack.Suggest an explanation why. If you were an explorer searching for wealth during the age of exploration, what else might you have brought back to europe from your travels besides gold? Exercise 1 Use the spelling rules in this lesson to spell the words indicated. near + -by Taylor is analyzing the effects of wage rates on the supply of laptop computers. By using the ceteris paribus assumption, Taylor is __________. Researchers have recently used the athletic coping skills inventory (acsi) to investigate the relationship between coping skills and performance. results have indicated that:____.