Basic Math Questions and Answers
Math
Basic MathThe Justinian Code is considered a milestone because
it preserved many ancient Chinese legal decrees in writing
served as a model for European legal systems
became the first democratic constitution
united Muslim and Roman thought
Math
Basic MathCece Coakley has a Full Publishing Agreement with MOB Music who has paid her a $50,000
advance. Her songs have been streamed 20,000,000 times. The MLC pays MOB Music for those
streams according to the current formula at $.001 per stream.
How much will MOB Music pay to Cece, if anything?
How much is remaining to be recouped, if anything?
Math
Basic MathSelect the negation for each of the following statements.
The sun is shining or it is raining.
The sun is shining and it is not raining.
The sun is not shining or it is raining.
The sun is not shining and it is not raining.
The sun is shining or it is not raining.
The sun is not shining and it is raining.
None of these.
I am taking Humanities and I am taking History.
I am not taking Humanities or I am not taking History.
I am not taking Humanities and I am not taking History.
I am taking Humanities or I am not taking History.
I am not taking Humanities or I am taking History.
I am not taking Humanities and I am taking History.
None of these.
Math
Basic MathDetermine if the following statements are true or false.
Every integer is a real number.
All real numbers are whole numbers.
No irrational numbers are also real numbers.
Every integer is also a rational number.
All whole numbers are integers but not all integers are whole numbers.
Math
Basic MathDetermine whether the value given below is from a discrete or continuous data set.
When a car is randomly selected and weighed, it is found to weigh 1930.1 kg.
Choose the correct answer below.
A. A discrete data set because there are infinitely many possible values and those values can be counted
B. The data set is neither continuous nor discrete.
C. A continuous data set because there are infinitely many possible values and those values cannot be counted
D. A discrete data set because there are a finite number of possible values
Math
Basic MathUnder selected conditions, a sports car gets 14 mpg in city driving and 19 mpg for highway driving. The
model G = 4+1h represents the amount of gasoline used (in gal) for c miles driven in the city and h miles
driven on the highway. Determine the amount of gas required to drive 98 mi in the city and 399 mi on the
highway.
Select one:
Ⓒa. 34 gal
b. 33 gal
Ⓒc. 28 gal
d. 37 gal
Math
Basic MathConvert the equation to intercept form:
f (x) = (x + 1)² - 25
A) f(x) = (x + 2) (x − 6)
B f(x) = (x - 2) (x + 6)
C f(x) = (x-4) (x + 6)
D) f(x) = (x) (x - 24)
Math
Basic MathThrough (-7,-11) and (-1,1)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is
(Type an integer or a simplified fraction.)
B. The slope is undefined.
Math
Basic MathFor f(x) = 5x + 5 and g(x)=x², find the following composite functions and state the domain of each.
(a) fog
(b) gof
(c) fof
(d) gog
(a) (fog)(x) = (Simplify your answer.)
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. The domain of f og is
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a com
B. The domain of f o g is all real numbers.
(b) (gof)(x) = (Simplify your answer.)
Math
Basic MathThirty-one regions in a nation contain casinos. Assume the nation has 50 regions. (a) What fraction of the regions contain casinos? (b) How many regions do not contain casinos? (c) What fraction of the regions do not contain casinos?
a. What fraction of the regions contain casinos?
Math
Basic MathJose is working two summer jobs, making $10 per hour washing cars and $9 per hour
walking dogs. Last week Jose worked a total of 13 hours and earned a total of $122.
Write a system of equations that could be used to determine the number of hours
Jose worked washing cars last week and the number of hours he worked walking dogs
last week. Define the variables that you use to write the system.
Math
Basic MathFind the slope of the line that passes through (-6, -3) and (-5, 3). Write your answer in simplest form.
Math
Basic MathThe average staircase has steps with a width that is 6 cm more than the height and a diagonal that is 12 cm more than the height. What is the height of the average step?
a. Write a sentence explaining what you're asked to find.
b. Briefly write what range of values you would expect for a reasonable solution. Also indicate the units of measure for your solution.
c. Define all unknowns in terms of a single variable. (Let x = ...) Include an appropriate sketch, labeling what each unknown represents. What formula might you use?
d. Using the sketch and your formula, write an equation representing this scenario. Then solve the equation.
e. Write a sentence explaining your solution using the appropriate units of measurement.
Math
Basic MathVerify that the equation is an identity.
tan^4 x-sec^4 x=1-2 sec ²x
To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression
at each step.
Math
Basic MathYou are having a staring contest with your cat. You are looking down at the cat at 37° while standing 7 feet away from it. Your cat's eye line is 1 foot off the ground. How tall are
you?
Round to one decimal place.
Math
Basic MathNathaniel is going to see a movie and is taking his 2 kids. Each movie ticket costs $12 and there are an assortment of snacks available to purchase for $3.50 each. How much total money would Nathaniel have to pay for his family if he were to buy 3 snacks for everybody to share? How much would Nathaniel have to pay if he bought x snacks for everybody to share?
Total cost with 3 snacks:
Total cost with a snacks:
Math
Basic MathJared has $700 in a savings account that earns 6% interest per year. The interest is not compounded. How much interest will he earn in 4 years?
Math
Basic MathA small business employs 98 people. All of the employees work for 8 hours a day, 5 days a week. Eleven of the employees receive a wage of $45 an hour and the rest receive $30 an hour. In total, how much does the business pay its employees each week?
Math
Basic MathThe regular price of a color TV is $530.66. During a sale, Hill TV is selling the TV for $441.38. Determine the percent decrease in the price of the TV. The percent decrease is % %. (Type an integer or decimal rounded to the nearest tenth as needed.)
Math
Basic MathJalen has a scale model of a train. 2 centimeters in
the model represents 3 feet in a real train.
On the scale model, the wheels of Jalen's train are 3.5
centimeters apart. There are some old railroad tracks
in Wyoming that are 4.5 feet apart.
Would the real train be able travel on those tracks?
Yes
No
Math
Basic MathThe distance from Saturn to Jupiter is 6.52 x 108 kilometers. How long
would it take a rocket, traveling at 4.1 x 104 kilometers per hour to travel
from Saturn to Jupiter? Round your answer to the nearest whole number of
hours.
Math
Basic MathApproximate each number using a calculator.
(a) 63.14
(b) 63.141
(a) 63.14
(c) 63.1415
(Round to three decimal places as needed.)
(d) 6
Math
Basic MathDetermine the simple interest. The rate is an annual rate. Assume 360 days in a year.
p=$470, r= 2.75%, t = 1.25 years
The simple interest is $.
Math
Basic MathSuppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones?
Math
Basic MathElisa needs money to repair her home air conditioner, so she pawns her bicycle. The pawnbroker loans Elisa $270. Twelve days later, Elisa gets her bicycle back by paying the pawnbroker $291.60. What annual simple interest rate did the pawnbroker charge Elisa? Assume 360 days in a year. The pawnbroker charged Elisa a simple interest rate of % (Round to the nearest whole number as needed.)
Math
Basic MathThe center of a circle is at (-3, 1) and its radius is 9. What is the equation of the circle?
(x + 3)² + (y - 1)² = 81
(x+3)² + (y − 1)² = 18
(x − 3)² + (y + 1)² = 18
(x − 3)² + (y + 1)² = 81
Math
Basic MathIn a mathematics class, 28 students received an A on the third test, which is 175% of the students who received an A on the second test. How many students received
an A on the second test?
On the second test,
students received an A.
……….
Math
Basic MathDevon takes out a loan of $1,500, at 4% simple interest, for 59 months. What is the maturity value of the loan? (Round to the nearest cent.)
2
O $1,426.63
$1,567.50
$1,831.88
O $2,208.00
Math
Basic MathUse the compound interest formulas A = P1+
= P(₁+1)
Find the accumulated value of an investment of $10,000 for 6 years at an interest rate of 4.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously.
nt
rt
and A=Pe to solve the problem given. Round answers to the nearest cent.
.…...
Math
Basic MathUse De Morgan's Laws to write the negation of the following statement:
"Either the Packers or the Broncos will win the Super Bowl."
O The Packers will not win the Super Bowl, and the Broncos will win the Super Bowl.
O Either the Broncos will win the Super Bowl, or the Packers will not win the Super Bowl.
O Either the Packers will not win the Super Bowl, or the Broncos will not win the Super Bowl.
O Either the Packers will win the Super Bowl, or the Broncos will not win the Super Bowl.
O The Packers will not win the Super Bowl, and the Broncos will not win the Super Bowl.
Math
Basic MathIn the diagram below, the vertices of ADEF are the midpoints of the sides of the equilateral triangle ABC, and the perimeter of AABC is 36 cm.
What is the length, in centimeters, of EF?
1) 6
2) 12
3) 18
4) 4
Math
Basic MathWrite an equation that represents the relationship between the number of T-shirts
ordered, the number of colors on the shirts, and the total cost of the order. If you use
a variable, specify what it represents.
Math
Basic MathA projectile is released from (0,0) with an initial speed of 50 m/s at an elevation
angle of 60 degrees. Assume, for ease of calculation, that the acceleration due to
gravity is 10 m/s².
(a). Find the position and velocity functions of the projectile.
(b). At what times is the projectile at a height three quarters of its maximum
height?
Math
Basic MathError Analysis Your friend says that the surface area of the prism is 198 square units. Use a net to find the correct surface area.
What mistake might your friend have made?
The surface area of the prism is
square units.
16
5
3
(The figure is not to scale.)
Math
Basic MathFind the value of k such that (x + 2) is a factor of
Justify your choice for k by showing all of your work.
Answer in paper
f(x) = x³ + 5x² + 3x + 7k
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Math
Basic MathDetermine the simple interest. (Assume 360 days in a year.)
p= $658, r=0.046% per day, t = 3 months
The simple interest on $658 at 0.046% per day for 3 months is $
Math
Basic MathThe approximate areas of Utah and Puerto Rico are listed below:
Utah: 2.2 x 105 square kilometers
Puerto Rico: 5.33 × 103 square kilometers
What's the difference between the areas of the two states? Express your
answer using scientific notation.
Answer:
×10
square kilometers
Submit Answer
Math
Basic MathPerimeter of a Plot of Land The perimeter of a triangular plot of land is 2400 ft. The longest side is 200 ft less than twice the shortest. The middle side is 200 ft less than the longest side. Find the lengths of the three sides of the triangular plot.
Math
Basic MathA vacuum cleaner dealership sold 460 units in 2011 and 429 units in 2012. Find the percent increase or decrease in the number of units sold.
The number of units sold by about%.
(Round to one decimal place as needed.)
Math
Basic MathSuppose that you invest $5,000 at 6% interest, compound quarterly, for 5 years. use Table 11-1 to calculate the compound interest (in $) on your investment.
Math
Basic MathVerify that the equation is an identity.
csc ß
cot ß
=sec ß
**
To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression
at each step.
csc ß
cot B
Math
Basic MathLM has the endpoints L at -5 and M at 9. To find the point x so that x divides the directed line segment LM in a 2:3
ratio, use the formula x = [(x₂-x₁) + x₁.
(9-(-5)) + (-5)
X=
X=
a
+
Math
Basic MathConsider the following functions.
x+2
3
Step 1 of 2: Find the formula for (fog)(x) and simplify your answer. Then find the domain for (f. g)(x). Round your answer to two decimal places, if necessary.
f(x) = √√x+2 and g(x) =
Answer
(f. g)(x) =
Domain =
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Math
Basic MathSuppose you take out a loan for 160 days in the amount of $14,000 at 7% ordinary interest. After 30 days, you make a partial payment of $1,500. After another 60 days, you make a second partial payment of $4,000. What is the final amount (in $) due on the loan? (Round your answer to the nearest cent.)
Math
Basic MathDetermine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find the value.
f(x) = 4x²-16x +3
The quadratic function has a value
Math
Basic MathUse De Morgan's Laws to write a statement that is equivalent to the following statement:
"It is not true that North Dakota and East Dakota are both states."
Either North Dakota is not a state, or East Dakota is not a state.
North Dakota is not a state, and East Dakota is not a state.
Either North Dakota is a state, or East Dakota is not a state.
Either East Dakota is a state, or North Dakota is not a state.
North Dakota is not a state, and East Dakota is a state.
Math
Basic MathAisha's office had already recycled 6 kilograms this year before starting the new recycling
plan, and the new plan will have the office recycling 1 kilogram of paper each week. How
many weeks will it take Aisha's office to recycle a total of 50 kilograms of paper?
weeks
Math
Basic MathAssume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then answer the question.
Suppose a baseball is thrown at 89 miles per hour. The ball will travel 338 feet when hit by a bat swung at 47 miles per hour and will travel 474 feet when hit by a bat
swung at 81 miles per hour. Let y be the number of feet traveled by the ball when hit by a bat swung at x miles per hour. How much farther will a ball travel for each
mile-per-hour increase in the speed of the bat?
A ball will travel
(Type a whole number)
feet farther for each mile-per-hour increase in the speed of the bat.
Math
Basic MathA man purchased a used car for $4000. He decided to sell the car for 30% above his purchase price. He could not sell the car so he reduced his asking price by 30%. If he sells the car at the reduced price, will he have a profit or a loss or will he
break even?
Select the correct choice below and fill in any answer box to complete your answer.
OA. The man will have a loss of $
B. The man will have a profit of $
OC. The man will break even.