Retake test Flashcards

(18 cards)

1
Q

Find the degree measure of the angle that corresponds to the following part of a circle

13/15 the angle is ______-

A

A circle is 360 degrees, which means you divide it by the denominator, which is 24, and you multiply 24 by your numerator, which is 13

The answer is: 312

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2
Q

During the worst periods of hyperinflation in a particular country, the price of food increases at a rate of 20% per month. State whether this increase was linear or exponential. If your food bill was 130 in one month during this period, what was it three months later?

Was the growth inflation linear or exponential?

What was the monthly food bill after three months ( round nearest dollar as needed)

A

Equation : A=A0 * (1+r)^n

Given= A0=130,r =20 or 0.20 n=3
A=130(1+0.20)^3
130
1.728
A=224.64
A=225

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3
Q

A leprechaun places a magic penny under a girl’s pillow. The next night, there are two magic pennies under her pillow. Each night, the number of major pennies doubles. How much money will the girl have after 24 nights

A

Equation : z^5
Answer 2 to the power of 24 since its double
which is 167,772.16

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4
Q

Country C’s

A

10.9-11.6= -.7
11.4-11.3=.1
12.1-10.2=1.9
It will increase
Never divide it by 1000 unless asked

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5
Q

What are three basic ways to represent a function?

A

table, graph,equation

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6
Q

WHat does it mean to say that a function is linear

A

The function has a constant rate of change

y=mx+b

The function has a straight line graph

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7
Q

The following situation inloves rate of change that is constant. Write a statement that describes how one variable changes with respect to the other, give the rate of change numerically with units and use the rate of change rule to answerany questions

A

The rate of change of heart with respect to age is -1 beat/min per year

decreases (20) beats/min from 200 to 180

Your maximum heart rate at 65 is 155

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8
Q

Whhat are the scaling laws for area and volume?

A

Area scales with the square of the scale factor.Volumes scales with the cube of the scale factor

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9
Q

Find the circumfrence and are of the following circle ?

A circle with the diameter of 37 feet

Find circumfrence and area

A

D=37/2=18.5=r
2pie(18.5)= 116.24=Circumfrence
2pieR

pie 18.5 with the power of 2 equals 1075.2= Area PieR2

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10
Q

Supposes you magically quintipled in size. that is your height, width , and depth increased by a factor of 5 . By what factor has your waist size increased

your waist size has increased by a factor of

A

5 or whatever number that is stated in the question

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11
Q

How are fractions of a degree of an angle described?

A

Fractions of a degree of an angle are described in terms of minutes of arc and seconds of arc.

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12
Q

Convert the given angle measures into degrees and decimal fractions of a degree

119 20’18
Round to the nearest hundreth as needed

A

20/60 =0.333

18/3600=0.005

Add 0.333 and 0.005 = 0.34,, which makes the degree 119.34

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13
Q

Determine which of the following pair of surfaces is steeper.

A roof with a pitch of 1 in 2 or a roof with a slope of 2/5

A

The roof with a pitch of 1 in 2 is steeper 2/5

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14
Q

Determine the lengths of the unkown sides in the following pairs of similar triangles.
x=
y=

A

Dive x by two and also dive your hypotenuse by two as well

70/2=35 Y
24/2=12 X

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15
Q

WHat is a doubling time ? suppose a population hasa doubling time of 25 years. By what factor will it grow in 75 years .

Choose the correct definetion of doubling time below

A

The time required. For each doubling in exponential growth

What factor will the population grow by in 75 years? 8

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16
Q

Decide whter the following statement makes or does not makes sense explain your reasoning?

Our town is growing at a rate of 7% per year, so it will double in population every 10 years

A

This makes sense because T doubles approximately 10.2 when subsiotutting 7 for r into the exaxt doubling time formula

17
Q

The doubling time of a bank account balance is 11c years. By what factor does it grow in 22 years? in 33 years?

By what factor does it grown in 22 years?

What factor does it grown in 33 years?

18
Q

The half-life of a radioactive substance is 50 years. If you want to start with some amount of this substance, what fraction will remain in 150 years?
What fraction will remain in 200 years

The fraction that will remain in 150 years is the following

The fraction that will remain in 200 years is the following

A

150=1/8
200=1/16