A tent rental company charges a mandatory $175 setup fee and a $110 hourly rental fee. Which of the following equations can be used to find c, the cost of renting a tent from this company for 8 hours? A. c = 175 + 110(8) B. c = 175 - 110(8) C. c = 175(8) + 110 D. c = (175 + 110)8

Answers

Answer 1

Answer:

A. c (in $) = 110(8) +175

Step-by-step explanation:

$175 is the starting price so in terms of an equation or an equation of a line it is the "b" or y-intercept.

c is the "y" or the depedent variable to solve for.

$110 is the increasing interval that is multiplied by the known variable, "x".

8 is the second variable, "x" but is known.

Answer 2

Answer:

A.

Step-by-step explanation:


Related Questions

PLEASE ANSWER AT LEAST ONE AND IF YOU CAN, ANSWER MORE THAN ONE. THANK YOU!!!!


1. Read the following word problem, then choose which linear equation models the problem.

The sum of the ages of an older sibling and a younger sibling is 16. Four years from now, the of the younger sibling will be the same as the age of the older sibling was two years ago. Find the present age of each sibling.

A. 4x = 14 - x + 16
B. x + 14 - x = 16 + 2
C. x - 4 = 14 + x
D. x + 4 = 14 - x


2. Read the following word problem, then choose which linear equation models the problem.

A rectangular trampoline has an area of 338 square feet. The length of the trampoline is twice it’s width. Find the dimensions of the trampoline.

A. 2w = 338
B. 2w • w = 338
C. 2w + 2w = 338
D. 2(w + w) = 338


3. Read the following word problem, then choose which linear equation models the problem.

The length of a rectangle is six feet more than twice the width. The rectangles perimeter is 84 feet. Find the width and length of the rectangle.

A. 2w + 6 + w = 84
B. 2(2w + 6) + 2w = 84
C. (2w + 6) • (w) = 84
D. 2(2w + 6) • (2w) = 84


4. Read the following word problem, then choose which linear equation models the problem.

In Sunnyvale Park, there are 55 species of birds that migrate. This accounts for one third of all the species of birds sighted in the park. Find the number of species of birds that have been sighted in Sunnyvale Park.

A. 1/3 + x = 55
B. 1/3x = 55
C. 1/3 - x = 55
D. 55 + 1/3 = x

Answers

Answer:

Step-by-step explanation:

Answer:

1. B

2.B

3. B

4. B

Step-by-step explanation:

Students were asked to choose their favorite subject. If 2/10 the students
chose history and 2/10 chose biology, what fraction chose either history or
biology?

Answers

Answer:

[tex]\frac{4}{10}[/tex], simplified to [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{2}{10}[/tex] + [tex]\frac{2}{10}[/tex] = [tex]\frac{4}{10}[/tex] ÷ [tex]2[/tex] = [tex]\frac{2}{5}[/tex]

What is the length of AC?

3 ft
4 ft
9 ft
18 ft

Answers

Ok so we know that the length of BN and NC are the same, so BC should be 6, and BM and MA are the same so BA should be 8. Using ratios, we can use either 3/6=9/x or 4/8=9/x. Using either equations the answer u would get is 18.

The length of AC is 18

Help with this question(will gove brainlist and thanks)(determine area)

Answers

Answer:

The area of a triangle is base * height / 2. In this case that is:

3 * (2x - 4) / 2 = 3 * 2(x - 2) / 2 = 3 * (x - 2) = 3x - 6 in²

Answer:

3x-6 inches^2

Step-by-step explanation:

[tex]A =\frac{ (a \times b)}{2} \\A =\frac{(3(2x-4))}{2} \\A = \frac{(6x -12)}{2} \\\\Area = (3x-6)^2 inches[/tex]

Write a math express for each verbal expression.

1.) The sum of 12 and x

2.) The product of 25 and p

3.) 24 increased by twice a number z

4.) The quotient of a number x and 4

5.) 6 less than a number x

6.) One-half of n squared

Answers

Answer:  

1.) The sum of 12 and x   12 + x   or   x + 12

2.) The product of 25 and p     25 × p    or  25p

3.) 24 increased by twice a number z    24 + 2z     or  2z + 24

4.) The quotient of a number x and 4   x ÷ 4 .  or   x/4

5.) 6 less than a number x     x - 6

6.) One-half of n squared       n² ÷ 2     or    n²/2    

Step-by-step explanation:  In most cases, the first expression uses symbols that are commonly used in arithmetic or elementary math.  As you advance into Algebra, the ÷ and × are rarely used in favor of  /  or fraction form like   [tex]\frac{x}{4}[/tex] and  [tex]\frac{x^{2} }{2}[/tex]  for division.  Parentheses replace × for multiplication, for example  (25)(p)=25p   to avoid confusion with x, commonly used as an unknown or variable.

Arman, Babken, and Cecilia decided to compete in a 100m run. When Arman crossed the finish line, Babken was 10m behind him. When Babken crossed the finish line, Cecilia was 10m behind him. How far was Cecilia behind Arman when he crossed the finish line? P.S. The answer is not 20.

Answers

Answer:

The answer is 19

Step-by-step explanation:

I am not good at explainig at all and im not sure how to explain but I had this question

Cecilia is 19 m behind the Arman.


Arman, Babken, and Cecilia decided to compete in a 100m run.
When Arman crossed the finish line, Babken was 10m behind him.
When Babken crossed the finish line, Cecilia was 10m behind him.


What are percentage?

percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.

Here,
When Babken is 10m behind the Arman, distance covered by babken is 90 m. Cecilia is 10 m behind when Babken cross the finish line implies Cecilia cover 90% of Babken covered distance.
So Cecilia covers 90% of Babken covered distance when Arman crossed finish line.


As arman crossed finish line Cecilia is at  = 90% of run covered by babken, 
= 90 * 90/100
= 81
Now, Cecilia behind Arman when he crossed the finish line = 100-81
=19

Thus, Cecilia is 19 m behind the Arman.

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FIND THE LENGTH OF AB !! Helpppp !!!

Answers

AB is 13 because it has to be 1 more than 12 to make up for BC being 3.

Which letter comes next? F H K N Z ? Choose from: L M T Y

Answers

Answer:

t

Step-by-step explanation:

The letter that comes next in the given sequence is K.

The given sequence is F H K N Z.

We need to find which letter comes next in the given sequence.

What is the pattern followed in the given sequence?

The pattern followed by the given sequence is they are letters of sounding board consonants.

Therefore, the letter that comes next in the given sequence is K.

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ABC is an equilateral triangle. Find the angle of rotation that maps A to C. (A.) 360 (B.) 240 (C.) 0

Answers

Answer:

B. 240

Step-by-step explanation:

We are given an equilateral triangle. By definition, each angle of this triangle is equal to 60 degrees and the sides are all congruent.

We would like to rotate the triangle clockwise so that A maps exactly onto C. Since the internal angles are 60 degrees, when we turn the triangle one time to the right so that B is now at the top, we have rotated the entire figure 60 degrees.

Already, A is actually on C; however, none of the answer choices matches 60 degrees, so we realise that we want a multiple of 60 that will still ensure our triangle maps A to C. We notice that if we rotate the triangle three more times after that first rotation (so that's another 60 degrees, 60 degrees, and 60 degrees), we will obtain a position that is exactly what we want: A is on C!

Thus, the number of angles is 60 + 60 + 60 + 60 = 240.

The answer is B.

~ an aesthetics lover

Answer:

240

Step-by-step explanation:

Since this is an equilateral triangle, we can divide the circle into 3 pieces and the figure will look the same

360/3 = 120

Every rotation of 120, and the figure is identical

120, 240 ,360 will give an identical figure

Since we need to move point A to C we can move it 240 counterclockwise and point A will be at point C

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

L: y= -4x + 17

Step-by-step explanation:

For a line L to pass through two points, we use the slope formula to calculate the slope, m, where

m = (y2-y1) / (x2-x1)

= (9-1) / (2-4)

= 8 / -2

= -4

Next we use the point slope form to find the line equation:

L: (y-y1) = m (x-x1)

substitute (x1,y1) = (4,1)

L: y-1 = -4 (x-4)

Simplify:

L: y = -4x + 16 + 1

L: y= -4x + 17

Check: substitute (4,1)

y = -4(4)+17 = 1  checks

substitute (2,9)

y = -4(2)+17 = 9 checks

so

L: y= -4x + 17

Answer:

y is equal to 5 and x is equal to 11

There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are loaned out. There are now twice as many non-fiction books as fiction books. How many books were in the library?

Answers

Answer:170

Step-by-step explanation:

122+24+24=170

170 is the correct answer

An equilateral triangle has the same perimeter as a square whose side is 12.What is the length of each side of the triangle?​

Answers

Answer:

Perimeter for rectangle/square is (length + width) x 2

12 + 12 = 24

24 x 2 = 48

So the perimeter is 48

divide 48 by 3 so it is split between 3 sides

48/3=16

so each side has a length of 16

Perimeter for triangle is adding up all the sides together

16 + 16 + 16 = 48 so the perimeter is the same as the square

16 is the answer

Hope this helps

Step-by-step explanation:

Answer:

The side length of the triangle is 16

Step-by-step explanation:

The perimeter of the triangle is

P = 3t  since the sides are all equal

The perimeter of the square is

P = 4s  since the sides are all equal

We are given the perimeter of the square is 12

P = 4*12

P = 48

We are told the perimeters are equal

48 = 3t

Divide by 3

48/3 = 3t/3

16 =t

The side length of the triangle is 16

Determine the measure of ∠C. answers: 1) 56° 2) 49.5° 3) 77.5° 4) 63.5°

Answers

Answer:

2) 49.5°

Step-by-step explanation:

From the above diagram, we are asked to calculate the measure of ∠C.

The formula to be used for this calculation is given as:

∠C = 1/2 (Far Arc - Near Arc)

∠BAD = 127° = Far Arc

∠EAF = 28° = Near Arc

The measure of ∠C = 1/2 (BAD - EAF)

= 1/2 ( 127° - 28°)

= 1/2 × 99°

measure of ∠C = 49.5°

Answer:

49.5

Step-by-step explanation:I took the test

Find the value of y. ANSWERS:A) 31.116 B) 25.196 C) 15.250 D) 51.410

Answers

Answer:

C) 15.250

Step-by-step explanation:

[tex]Hypotenuse = 28\\Adjacent = y\\\alpha = 57\\Using -SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 57 = \frac{y}{28} \\0.5446 = \frac{y}{28} \\y = 0.5446 \times 28\\y = 15.2488\\y = 15.25[/tex]

if a watch is losing 1.5 minutes for every 12 hours that go by, how many minutes will it lose in one week?​

Answers

Hey there! :)

Answer:

21 minutes.

Step-by-step explanation:

Begin by calculating the number of 12 hour periods in a week.

Each day contains two 12 hour periods. (24 hours/12 = 2)

There are 7 days in a week, therefore:

2 × 7 = 14 times the watch will lose minutes.

Multiply to find the total number of minutes lost:

14 × 1.5 = 21 minutes.

Answer:

21 minutes

Step-by-step explanation:

There are 24 hours in one day, and 7 days per week.  Thus there are

(24)(7), or 168, hours in one week, or 14 - 12-hour periods.

Thus, we multiply 14 - 12-hr periods to answer this question:

1.5 minutes / 14 - 12-hour periods)= 21 minutes will be lost in one week.

If a = 4 and b = 7, what is the value of the following expression? 20 ÷ a + 7 • b A. 28 B. 84 C. 54 D. 33

Answers

Answer:

54

Step-by-step explanation:

20 ÷ a + 7 • b

Let a = 4 and b = 7

20 ÷ 4 + 7 • 7

Multiply and divide first

5 + 49

Then add

54

Answer:

54

Step-by-step explanation:

20 ÷ a + 7 × b

Plug in the values.

20/4 + 7 × 7

Evaluate

5 + 49

54

Find the fifth term of the geometric sequence with first term 2 and second term 1/4.

Answers

Answer:

0.1875

Step-by-step explanation:

The geometric sequence is going down by 3/4 so just continue it on down

Hope this helps, though put some thought into it

I think it is 1/2048

2* (1/8)^4= 1/2048

What are all of the real roots of the following polynomial? f(x) = x4 - x3 - 13x2 + x + 12

Answers

We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.

Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.

x - 1 = 0 gives us x = 1.

x + 1 = 0 --> x = -1.

x - 4 = 0 --> x = 4.

x + 3 = 0 --> x = -3.

our roots are x = 1, -1, 4, and -3.

Determine the measure of ∠DBC. answers: 1) 130° 2) 115° 3) 230° 4) 65°

Answers

Answer:

65 degrees

Step-by-step explanation:

65 degrees

it is 65 because of the vector relationship: 30 + 100 = 130. 130/2=65 degrees

Answer:

115

Step-by-step explanation:

The total circle is 360 degrees.  The sum of the arcs of the circle is 360

Arc DC = 360 - Arc CB - Arc BC

DC = 360 -30-100

DC =230

Inscribed Angle =1/2 Intercepted Arc

<DBC = 1/2 CD

<DBC = 1/2 (230)

           = 115

True or false. Intersecting chords form a pair of congruent, vertical angles.

Answers

Answer:

True

Step-by-step explanation:

A chord of a circle is a straight line segment whose endpoints both lie on the circle.

Vertical Angles are the angles opposite each other when two lines cross.

Any intersecting segments (chords or not) form a pair of congruent, vertical angles.

* ANSWER PLS TY!! * Find the surface area of this cone.

Answers

Answer:

[tex]200 \: \pi[/tex]

Step-by-step explanation:

Given,

R = 8 m

H = 15 m

Slant height :

[tex] = \sqrt{ {r}^{2} + {h}^{2} } [/tex]

[tex] = \sqrt{ {(8)}^{2} + {(15)}^{2} } [/tex]

[tex] = \sqrt{64 + 225} [/tex]

[tex] = \sqrt{289} [/tex]

[tex] = \sqrt{ {(17)}^{2} } [/tex]

[tex] = 17 \: m[/tex]

Now, Finding the surface area of the cone:

[tex]\pi \: r(r + s)[/tex]

Plugging the values:

[tex] = \pi \: \times 8(8 + 17)[/tex]

[tex] = 8\pi \: \times 25[/tex]

[tex] = 200 \: \pi[/tex]

Hope this helps...

Good luck on your assignment...

A box contains five blue for red and three yellow marbles to marbles are randomly drawn and not please what is the probability of drawing a blue then a red marble

Answers

The answer to this is 5/12

What is the equation of the circle graphed on the coordinate plane? answers: 1) (x – 2)2 + (y + 1)2 = 4 2) (x + 1)2 + (y – 2)2 = 16 3) (x – 2)2 + (y + 1)2 = 16 4) (x + 2)2 + (y – 1)2 = 16

Answers

Answer:

3) (x – 2)^2 + (y + 1)^2 = 16

Step-by-step explanation:

Equation of circle:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center, and r is the radius.

From the graph, we see the center is at (2, -1), so h = 2, and h = -1.

The radius is 4, so r = 4.

The equation is

(x - 2)^2 + (h - (-1))^2 = 4^2

(x - 2)^2 + (h + 1)^2 = 16

How many different 4-digit numbers can be formed using only digits 1, 2, 3, and 4, given that they contain each of these digits only once?

Answers

24 4 digit numbers can be formed using 1234

Answer:

24.

Step-by-step explanation:

To solve this question, you might need to do a little math. So, there are four digits, correct? And they cannot be repeated? Well, you can solve this problem by creating the numbers. Here are the ones I came up with:

1234

1324

1432

1342

1243

1423

See? There are 6. You can do the same with these:

2341

2413

2314

2143

2134

2134

These are only half of the expressions. Hopefully this helps you come up with the rest. Best of luck.

Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units

Answers

Answer:

Option (2)

Step-by-step explanation:

This question is incomplete; find the picture attached which makes this question complete.

Vertices of the given triangle are A(-2, -4), B(2, -1) and C(3, -4).

Length of AB = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

AB = [tex]\sqrt{(2+2)^2+(-1+4)^2}[/tex]

     = [tex]\sqrt{16+9}[/tex]

     = 5 units

Since AB = AC

AC = 5 units

Similarly, BC = [tex]\sqrt{(3-2)^2+(-4+1)^2}[/tex]

BC = [tex]\sqrt{10}[/tex] units

Therefore, perimeter of the given triangle = AB + AC + BC

                                                                      = 5 + 5 + √10

                                                                      = (10 + √10) units

Option (2) will be the answer.

Answer:

b

Step-by-step explanation:

Describe the cross-section of the rectangular prism
rectangle
trapezoid
triangle
hexagon

Answers

Answer:

The cross-section of the rectangular prism is a:

rectangle

Step-by-step explanation:

When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.

Find the sum of the three expressions and choose the correct answer. -8a 3 b + 3a2 b 2 - 5 2 + 5a 2 b 2 3a 3 b + 7 - 9a 2 b 2

Answers

Answer:

-9ab3a3b-52

Step-by-step explanation:

-8a3b+3a2b2-52+5a2b3a3b+7-9a2b2

-8a3b-6a-52+5a2b3a3b

-14a3b-52+5a2b3a3b

-9ab3a3b-52

PLEASE HELP For what value of the variable will the value of 2x+1 be 20 greater than 8x+5?

Answers

It will be a negative.

for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11

-2(2) + 1 = -3

but that's only 8 apart, so it'd be higher.

-4(2) + 1 = -7

-4(8) + 5 = -27

BOOM

Tadaaaa,

You probably thought positive, but sometimes it's negative, you know what I mean?

When Helen jogs, every 20 minutes she checks the total distance she traversed. One day, the first time she checked, Helen had jogged a distance of 2.5 miles, the second time she checked, she had jogged a total distance of 4.8 miles, and the third and final time that she checked, Helen found out that she jogged a total distance of 6.8 miles. What is the difference between her average speeds, in miles per hour, during the first 20 minutes of jogging and the last 20 minutes of jogging?

Answers

Answer

1.5 miles / hour

Step-by-step explanation

She jogged 2.5 miles in the first 20 minutes

Speed = distance/time

2.5 miles / 20 minutes = 0.125 miles / minute

Convert to hours

0.125 • 60 (60 minutes in an hour) = 7.5 miles / hour

She jogged 2 miles (6.8 - 4.8) in the last 20 minutes

2 miles / 20 minutes = 0.1 miles / minute

Convert to hours

0.1 • 60 = 6 miles / hour

7.5 miles / hour - 6 miles / hour

= 1.5

write the inequality shown by the shaded region in the graph with the boundary line y=x-2

Answers

Answer:

y ≥ x - 2

Step-by-step explanation:

I'm pretty sure this will be the answer, a thanks a rating of a 5 star would be helpful :)

The inequality shown by the shaded region in the graph with the boundary line y = x-2 is y ≥  x - 2

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is an inequality, with the boundary line y = x-2

A solid line, and the shaded part is above the line.

y ≥  x - 2

Hence, The inequality shown by the shaded region in the graph with the boundary line y = x-2 is y ≥  x - 2

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What is the greatest number of 22 inch pieces she can cut from the 3 pieces of ribbon Describe elements shown in the provided work and how they are characteristic ofthe time period in which it was created in.Identify how the artwork represents the periodDiscuss the cultural context of the represented periodAddress at least two specific elements from the artwork to support your statements ALL THE CORRECT ANSWERS TO THE HISTORY LESSON- lesson title: THE COLD WAR 1947-1970 Q2- Which of the following joined the NATO alliance? Select all that apply. The United States France The Soviet Union Italy ANS: The United States, France, Italy.Q3- What was the essence of the Truman Doctrine? A- a policy of uniting several countries together to defeat communism B- a U.S. led program aimed at helping countries recover from the war C- a policy committing the U.S. to restricting the spread of communism D- a commitment by President Truman to stop military buildup of Germany ANS: C- a policy committing the U.S. to restricting the spread of communism. Q4- Poland, Hungary, Yugoslavia, and Albania were among the Soviet ANS: Satellite Nations Q5- Why did the United States cut off trade and diplomatic relations with Cuba? A- The revolutionary government had seized U.S. businesses and property in Cuba. B- Cuba had threatened to invade the United States. C- The United States was told to do so by the Soviets. D- A Cuban spy plane had been shot down over the United States. ANS: A- the revolutionary government had seized U.S. businesses and property in Cuba. Q6- What was the Prague Spring? A- a series of revolutions that spread across Europe. B- a series of reforms begun by Alexander Dubcek in Czechoslovakia. C- The name given to the nuclear arms race between the superpowers. D- The unusually warm spring of 1968 in Prague, Czechoslovakia. ANS: B- a series of reforms begun by Alexander Dubcek in Czechoslovakia Q7- ______was divided into four zones after World War II, each occupied by a different Allied nation. ANS: Berlin Q8- What was the most infamous symbol of the Cold War? A- the guillotine B- the U-2 spy plane C- the Berlin Wall D- Sputnik ANS: C- The Berlin Wall Q9- In what way did the United States help the Hungarian refugees after the Soviets invaded in 1956? A- by starting a nuclear war with the Soviets B- by offering them safe passage to Albania C- by airlifting supplies to Berlin D- by allowing many to immigrate to the United States ANS: D- by allowing many to immigrate to the United States Q10- The first United Nations peacekeeping force was sent to _____. A- Cuba B- Hungary C- Czechoslovakia D- Egypt ANS: D- Egypt Q11- The failed invasion of Cuba in April 1961 was organized by _____. A- Hungarian refugees B- the Central Intelligence Agency (CIA) C- the Soviet secret police D- Gamal Abdel Nasser ANS: B- the Central Intelligence Agency (CIA) Hope this helps you don't worry you will get 100% trust me Laurel inc and Hardy corp both have 10 percent coupon bonds outstanding, with semiannual interest payments, and both are currently priced at the par value of $1,000. The Laurel, Inc., bond has five years to maturity, whereas the Hardy Corp. bond has 16 years to maturity. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? If the interest rates fall by 2 percent? A ball has a mass of 0.25 kg and is moving to the right at 1.0 m/s. It hits a ball of mass 0.15 kg that is initially at rest. After the collision, the 0.15 kg ball moves off to the right with a velocity of 0.75 m/s. What is the final velocity of the 0.25 kg ball? 0.42 m/s to the right 0.42 m/s to the left 0.55 m/s to the right 0.55 m/s to the left Can someone please help...This is a quantitative (maths) question. Im going to show the solved examples, Cena someone explain the examples to me?Please ignore the question above and explain examples. Is the graph increasing, decreasing, or constant?A. DecreasingB. ConstantC. Increasing Although a few protozoans are multicellular, the simplest are unicellular organisms, such as amoebas, bacteria, sarcodina, ciliates, flagellates, and sporozoans, which can be amorphous in shape and smaller than .001 inch. Cytoplasm fills the cell membrane that en Line closes it and functions as a barrier between cells. The membrane serves as the outer tissue, (5) and any compound that may destroy the cell has to penetrate it to reach the cytoplasm, Some types of organisms are termed colonial because they represent loosely assembled groups of structurally similar and unfunctional cells. Colonial organisms maintain a symbiotic relationship within their particular environments. Unlike colonial organisms, almost all species of animals and plants are multicellular and (10) include various types of specialized or somatic cells, each with us own nucleus, genetic code, and RNA. The overall size of a multicellular body is contingent on the total number of cells that comprise it, not the size of individual cells. TI1e simples! multicellular animals are hy dras, sponges, and jellyfish, which have well-defined tissues, a cellular nucleus, and an ele ment of cell functions. Sponges have a few specialized cells but largely resemble colonial or- (15) ganisms that can readily form a new individual group. If the cells of a sponge are separated, they rejoin and continue as a newly formed colonial organism. 22. How many cells do me simplest organisms contain? (A)One (B) One hundred (C) Many (D)An unknown number 26. In line 6, the word "loosely" is closest in meaning 10 (A) lively (B) naturally (C) freely (D)feebly 23. In line 4, the phrase "outer tissue" is closest in meaning to (A) outside force (B) outlying area (C) shell (D)cell 27. In line 8, the word "symbiotic" is closest in meaning to (A) mutually dependent (B) mutually exclusive (C) mutually hostile (D) mutually resistant 24. In line 5, the word "it" refers to (A) the cell (B) anycompound (C) the membrane (D) the cytoplasm 25. It can be inferred for the passage that a cell serves as (A) a partition of organism functions (B) thesmallest colonial group (C) the smallest genetic unit 28. The author of the passage implies that large animals and plants have (A) larger cell sizes than amoebas and protozoans (B) larger quantities of protoplasm than smaller life-forms (C) stronger cellular membranes than flagellates (D) a greater number of cells than smaller life-forms (D)aflagellate reproductive 29. In line 10, the word "each" refers 10 (A) animals (B) species (C) cells (D)plants 30. According 10 the passage, sponges and jellyfish are (A) the simplest one-cell organisms (B) the simplest multicellular animals (C) tissues and cellular nuclei (D)cellular and colonial organisms 31. The author mentions all of the following EXCEPT: (A) procreative mechanisms (B) colonial organisms (C) cell contents (D)specialized cells 32. This passage would most likely he found in a textbook on which of the following subjects> (A) Genetics (B) Anatomy (C) Biology (D) Biochemist!' How much energy does a 185 nm wave of light have? (The speed of light in avacuum is 3.00 x 108 m/s, and Planck's constant is 6.626 x 10-34 Jos.)A. 1.07 x 10-18 JB. 8.38 x 1034jC. 9.31 x 1017 JD. 3.68 x 10-32 JO