1. Find two consecutive even integers whose product is 168

Sides of a Square

2. The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the squares is 149 in2. Find the lengths of the sides of the two squares.

Uniform Strip

3. Cynthia Besch wants to buy a rug for a room that is 12 ft wide and 15 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 108 ft2 of carpeting. What dimensions should the rug have?

Rectangular piece of metal

4. A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 832 in2, what were the original dimensions of the piece of metal?

Area/Perimeter

5. A rectangle has an area that is numerically twice its perimeter. If the length is twice the width, what are its dimensions?

Tree Pythagorean problem

6. At a point on the ground 60 ft from the base of a tree, the distance to the top of the tree is 4 ft more than 2 times the height of the tree. Find the height of the tree.

Vertical motion

7.An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6in tall, and the initial velocity of the ball is 30 ft per second. The height of s of the ball in feet is given by the equation

S = -2.7t2 + 30t + 6.5

Where t is the number of seconds after the ball was thrown

a. After how many seconds is the ball 12 ft above the moon’s surface?

b.) How many seconds will it take for the ball to return to the surface?

...usually less than 0.25mm in length and covered with minute hair-like projections called cilia. They are characterized by their cilia which are used in locomotion and during feeding. Paramecia feed on bacteria.
Paramecia have 2 nuclei, 1 macronucleus and 1 micronucleus. Some have up to 80 micronuclei! The organism cannot survive without macronucleus and cannot reproduce without micronucleus.
I used the 4x on the Parmecium caudatum to measure 11 cells they varied in...

...Arc Length
The definition of radian measure
s = rθ
The unit circle
An angle of 1 radian
Proof of the theorem
IT IS CONVENTIONAL to let the letter s symbolize the length of an arc, which is called arc length. We say in geometry that an arc "subtends" an angle θ; literally, "stretches under."
Now the circumference of a circle is an arc length. And the ratio of the circumference to the diameter is the basis of radian measure....

...The Lengths of Leadership
This Freshman Seminar displayed the power of leadership in all of its forms. There are many types of leadership skills and characteristics; however, they all are encompassed by a set of core values one must follow to be a leader. We explored what could be called the ten commandments of leadership during class discussion and how they applied to a series of movies including Apollo 13, Courage Under Fire, Norma Rae, and Cry Freedom. In each movie, every...

...fighting across vast lengths of trenches stretching from the English Channel to the northern borders of Switzerland as each army tried to outflank the other. No one in 1914 would have predicted the stalemate that was to follow; it was a common belief back home in Britain that it would all be 'over by Christmas'. The Germans had similar views at the start of the war; they thought they could rapidly capture France before invading Russia, therefore preventing a war on two fronts....

...First Stage
Group "D"
Name: Ahmed Mohammed Ali
Name of exp: The focal length of convex mirror
Date of exp: 16/1/2015
Sub group: Ali Emad - mobeen jafer - mortadha abd al-aaly
Apparatus
Convex mirror and holder, small plane mirror and wooden clamp Convex lens and holder. two mounted pins, metre rule or optical bench.
Method:
Place a mounted pin at a distance from the convex lens greater than the focal length so that a real image of the pin is...

...Lab 4: Skeletal Muscle Function
Exercise 5: The Length-Tension Relationship
Materials and Methods
In this experiment I used a frog anesthetized with ms222. The frog’s skin is cut and removed from both the legs, the Achilles tendon is cut and the tendon and calf muscle are removed from the lower legs. The femur muscle is also cut. Attached to the legs are femur clamps which are connected to the transducer arm, stimulation electrodes are then positioned against the muscle. I...

...04=$600.00
15000*.12=$1,800.00
$1,800.00+$600.00=$2,400.00
John put 2400 in each investment.
4. The length of a football field is 180 feet more than its width. If the perimeter of the field is 1,060 feet, find the length of the field
x= length y= width
x=y+180
2x+2y=1060
x-y=180
2x+2y=1060
2(y+180)+2y=1060
2y+360+2y=1060
4y+360-360=1060-360
y=175
x=y+180
x=175+180
x=355
The length of the field is 355ft, and the width...

...curvature and the focal length of a concave mirror. How are the focal length, the object distance and the image distance related? Which parameter of the mirror does the image distance approach as the object distance increases? How can a rough value of the focal length of a concave mirror be obtained? State reasons. What is the image distance equal to when the object distanto the point from which a collimated beam appears to be diverging after passing...

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