Answer:
-3
Step-by-step explanation:
For a 2 by 2 matrices such as B = [a b c d], the determinant is expressed as;
ad - bc
Given the matrices
[A] = [5 -4 3 -3]
Determinant of A = 5 (-3) - -4(3) (if you compare with the original matrices)
Determinant of A = -15 + 12
Determinant of A =-3
Hence the Determinant of A is -3
9x+10y =1 9x-6y=-15 solve using elimination
Answer:
I. x = -1
II. y = 1
Step-by-step explanation:
Given the following algebraic expressions;
9x + 10y = 1 .......equation 1
9x - 6y = -15 ......equation 2
To solve using the elimination method, we would subtract eqn 1 from eqn 2.
(9x - 9x) + (-6y - 10y) = (-15 - 1)
0x - 16y = -16
-16y = -16
16y = 16
y = 16/16
y = 1
Next, we would find the value of x;
From eqn 1;
9x + 10y = 1
Substituting the value of y, we have;
9x + 10(1) = 1
9x + 10 = 1
9x = 1 - 10
9x = -9
x = -9/9
x = -1
12. What is 5% of 210?
Answer:
10.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
10.5
Is the following relation a function?
Answer:
No this is not a function since 2 of the domain values have the same range.
Step-by-step explanation:
Well in simpler terms, if one or more range values (right side) have more then 1 arrow pointing to them, its automatically not a function. If each one has one arrow pointing towards them, its a function.
NK Karate Club offers two different fees for their karate classes. Club members are charged a one-time membership fee of $32 and pay $4 per class. Non-members pay $8 per class. Let y represent the number of karate classes attended.
a. Write an expression to represent the cost for a non-member to attend y classes.
b. Write an expression to represent the cost for a member to attend y classes.
c. Set the two expressions equal to each other and solve the equation to determine how many classes result in the same cost for a member and non-member.
Answer:
a) x = 8y
b) x = 32 + 4y
c) 8y = 32 + 4y
Step-by-step explanation:
-4y -4y
8y = 32 + 4y
÷4 ÷4
4y = 32
y = 32
The expression represents the cost for a non-member to attend y classes is x=8y.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, Club members are charged a one-time membership fee of $32 and pay $4 per class. Non-members pay $8 per class.
Let y represent the number of karate classes attended.
a) The cost for a non-member to attend y classes is
Non-members pay $8 per class.
So, the expression is 8y
b) The cost for a member to attend y classes is
Club members are charged a one-time membership fee of $32 and pay $4 per class.
Now, the expression is 32+4y
c) Set the two expressions equal to each other, that is
8y =32 + 4y
8y-4y=32
4y=32
y=8
Therefore, the expression represents the cost for a non-member to attend y classes is x=8y.
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The graph below shows the number of tickets that a movie theater sold over a four week period.
If the theater continues selling tickets at the same rate, how many tickets do you predict they will sell during the 6th week?
A. 520 tickets
B. 590 tickets
C. 660 tickets
D. 730 tickets
Answer:
Actually, the correct answer is B: 590.
Step-by-step explanation:
I got right on the test. That's your proof there!
Which table of values goes with this equation?
y = x/5
I NEED HELP PLEASE RIGHT NOW
Answer:
Average is 2 hours
Please help, hard question
Answer:
6, 24, 96, 384
Step-by-step explanation:
start with 6 and multiply each successive term by 4
John will rent a car for the weekend. He can choose one of two plans. The first plan has an Initial fee of $51 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $46 and costs an additional $0.14 per mile driven. For what amount of driving do the two plans cost the same? miles What is the cost when the two plans cost the same?
Answer:
The first plan has an initial fee.
The first plan has an initial fee of $51 and costs an idditional $0.11 per mile driven.
Step-by-step explanation:
A circle has a radius of 4 cm and an arc of length 6 cm. What is the measure of the angle at the center?
In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284?
6. Find the measure of angle x, y and z.
7. Find the measure of x.
Answer:
6. y = 76
x,z = 180 - 76 = 104
7.
2x = 74
x = 74 ÷ 2 = 37
( EXTRA POINTS PLEASE HELP ) in a triangle the value of (h) is 3/4 the side length which is 4.8 measure meters was that area of the triangle
Step-by-step explanation:
[tex]h = \frac{3}{4} 4.8 \ = \\ = 3 \times 1.2 = 3.6[/tex]
[tex]area = \frac{3.6 \times 4.8}{2} = \\ = 3.6 \times 2.4 = \\ = 8.64[/tex]
ms.vellejo has these cans of soup in her cabinet 1 can of tomato soup 4 cans of chicken soup 3 cans of cheese soup 2 cans of beef soup ms.velljo will randomly choose one can of soup what is the probililty that she will choose a can of beef or chicken soup
Answer:
There is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
Step-by-step explanation:
Since Ms. Vellejo has 1 can of tomato soup, 4 cans of chicken soup, 3 cans of cheese soup and 2 cans of beef soup in her cabinet, and she will randomly choose one can of soup, to determine what is the probililty that she will choose a can of beef or chicken soup, the following calculation must be performed:
1 + 4 + 3 + 2 = 10
Beef soup = 2 cans = 2/10 = 0.2 = 20%
Chicken soup = 4 cans = 4/10 = 0.4 = 40%
20 + 40 = 60
Thus, there is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
A scale drawing of a house uses a scale of 0.5 inches = 2 feet what is the length in inches of a line on the scale drawing that represents an actual length of 5 feet.
Answer:
We can use ratios for solve this problem
Cross multiply to get:
Lastly, divide both sides by 2 to isolate x
The line will be 1.25 inches
Hope this helps!
P.s. can I get Brainliest?
What is the expression resulting from the following diagram?
3x)
Drop Down 1]
-2x-5
[Drop Down 2]
-4/11
[Drop Down 3]
[Drop Down 1)
Select a Value
Drop Down 2]
Select a Value
Drop Down 3]
Select a Value
Answer:
1. -12x^8
2. 8x^6
3. 16x^11
Step-by-step explanation:
The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.
Multiplication table:The given table represents the Multiplication table.
To fill the table we need to multiply the corresponding elements of that cell of the table.
For drop-down 1,
[tex](-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}[/tex]
[tex](-4x^{11})\times (3x^{-3})=-12x^{8}[/tex]
For drop-down 2,
[tex](-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}[/tex]
[tex](-4x^{11})\times (-2x^{-5})=8x^{6}[/tex]
For drop-down 3,
[tex](-4x^{11})\times (-4)=(-4\times (-4))x^{11}[/tex]
[tex](-4x^{11})\times (-4)=16x^{11}[/tex]
Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.
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LifeCharge Batteries claims that their batteries last an average of 210 hours when used in a hand held gaming system, with a standard deviation of about 9 hours. An independent quality control company took a sample of 34 batteries, and used the same hand held gaming system that LifeCharge used to record the time the batteries lasted.
1. Assuming the claim is true, what is the probability that the value of the sample mean is greater than 251.7 hours.
2. The sample mean was found to be 251.7, what does this say about the claim?
A. The sample mean is quite far off from the mean claimed, casting doubt on the current mean.
B. The sample mean is sufficiently close to the mean claimed, supporting the current mean.
C. The sample mean found does not truly support nor cast doubt on the current mean.
Answer:
The answer is "0.0023 and Choice a"
Step-by-step explanation:
In point a:
The central limit theorem:
[tex]\mu_{X}= 250\\\\\sigma_{X}=\frac{\sigma}{\sqrt{n}}=\frac{6}{\sqrt{100}} =0.6\\\\P(\bar{X}>251.7)\\\\=P(z>\frac{251.70-250}{0.6})\\\\=P(z>2.83)\\\\=1-0.9977\\\\=0.0023[/tex]
In point b:
The chance is lower than 0.05. This means that it is very rare to see the average sample above 251.8 if the argument is valid, that is why the means of the sample is far away from the common claimed and casts doubt on the actual mean.
15% of customers that come to your
taco truck order two tacos. If 300 guests
come to your store, how many of them
will you expect to order two tacos?
Answer:
Number of customers (double taco)= 45
Step-by-step explanation:
Giving the following information:
Double taco order rate= 15% = 0.15
Total number of customers= 300
To calculate the number of customers that order two tacos, we need to use the following formula:
Number of customers (double taco)= Double taco order rate*total number of taco
Number of customers (double taco)= 0.15*300
Number of customers (double taco)= 45
It's Friday afternoon and six fraternity brothers at UNC havejust attended their last class of the semester. To unwind beforethe final exam Monday morning, they decide to spend the weekend atthe beach. After a weekend of immature, irresponsible behavior,they oversleep Monday morning and miss the final exam. Later thatday they go to their professor (who received her Ph.D. from NCState) and explain that they went to the beach and were on the wayback for the final exam but their car (a BMW of course) had a flattire. The professor says that they can come back the next morningand she will give them a make-up final exam consisting of oneshort-answer question! The students are ecstatic and high-five eachother all the way back to the frat house. The next morning theprofessor puts each student in a different room and hands themtheir one-question test. The question: Whichtire?
Aside: Clickhere for interesting related site.
What is the probability that all 6 students will say that thesame tire was flat? (Use 5 decimal places.)Hint: the answer is NOT(1/4)^6.
which of the following is a quadrantal angle
Question:
Which of the following is a quadrantal angle?
a) π/2 b) π/3 c) 2π/3 D) 4π/5
Answer:
[tex](a)\ \frac{\pi}{2}[/tex]
Step-by-step explanation:
Required
Which of a to d is a quadrantal angle
An angle is said to be quadrantal if and only if the angle has its terminal side on the x or y axis.
Such angles (in degrees) are: 90, 180, 270, etc.
So, we have:
[tex](a)\ \frac{\pi}{2}[/tex]
[Convert to degrees]
[tex]\frac{\pi}{2} = \frac{180}{2}[/tex]
[tex]\frac{\pi}{2} = 90[/tex]
Hence:
[tex](a)\ \frac{\pi}{2}[/tex] is a quadrantal angle
The other options are not.
A baker has determined that four every
4 pounds of flour, she can make 6
loaves of bread.
Raina received a $90 gift card for a coffee store. She used it in buying some coffee that's cost $7.38 per pound. After buying the coffee, she had $53.10 left on her card. How many pounds of coffee did she buy?
Answer:
5 lbs
Step-by-step explanation:
90 - 53.10 = 36.90
She spent $36.90 on coffee. Since it cost $7.38 per pound, we can divide the total cost by 7.38 to figure out how many pounds she bought:
36.90 / 7.38 = 5
Raina bought 5 pounds of coffee.
The population of largemouth bass in a pond is decreasing at the rate of 10% per year. If the population of largemouth bass is 5,000 this year, what will the population be in 16 years?
Answer:
Population after 16 year = 927 people (Approx.)
Step-by-step explanation:
Given:
Decrease rate = 10% per year
Current population = 5,000
Find:
Population after 16 year
Computation:
A = P[1-r]ⁿ
A = 5,000[1-0.1]¹⁶
A = 5,000[0.9]¹⁶
A = 5,000[0.1853]
A = 926.51
Population after 16 year = 927 people (Approx.)
In the late 2000's sales of SUVs decreased due to higher gas prices and improved alternative vehicles. A car dealer is interested whether it takes more days to sell SUV's vs. small cars. He gathers data from a sample of the most recent couple of months of sales and calculates that the he sold 18 SUV's with an average number of days to sale of 95 and a standard deviation of 32 days. For small cars, he sold 38 of them in an average of 48 days with a standard deviation of 24 days. The dealer wants to estimate how much longer it takes to sell an SUV vs. a small car by constructing a 95% confidence interval. 1. The facts of this problem are:
Answer:
1. The facts are;
[tex]\overline x _1[/tex] = 95 days
s₁ = 32 days
n₁ = 18 SUV's
[tex]\overline x _2[/tex] = 48 days
n₂ = 38 small cars
s₂ = 24 days
The confidence level = 95%
The confidence interval is (29.55, 64.45)
Step-by-step explanation:
The facts of the problem are;
The number of SUV's he sold, n₁ = 18 SUV's
The average number it took to sell the 18 SUV's, [tex]\overline x _1[/tex] = 95 days
The standard deviation of the time it took to sell the 18 SUV's, s₁ = 32 days
The number of small cars he sold, n₂ = 38 small cars
The average number it took to sell the 38 small cars, [tex]\overline x _2[/tex] = 48 days
The standard deviation of the time it took to sell the 38 small cars, s₂ = 24 days
The 95% confidence interval is given as follows;
Using a graphing calculator, we get, the critical-t, [tex]t_c[/tex] = 2.055529
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm t_{c} \cdot\sqrt{\dfrac{s _{1}^{2}}{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}[/tex]
[tex]\left (95-48 \right ) \pm 2.055529 \times \sqrt{\dfrac{32^{2}}{18}+\dfrac{24^{2}}{38}}[/tex]
We get C.I. = 29.55259 < μ₁ - μ₂ < 64.44741
∴ C.I. ≈ 29.55 < μ₁ - μ₂ < 64.45
The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of the building is 250,000 square feet. What is the exterior surface area of the model?
Answer:
50,000 square inches
Step-by-step explanation:
1:5 ratio so 250,000/5=50,000
what is 2/3 - 5/12 equal to
Answer:
8/12-5/12=3/12 or 1/4 :)
Answer:
1/4 = 0.25
Step-by-step explanation:
2/3 - 5/12
Least common multiple of 3 and 12 is 12. Convert 2/3 and 5/12 to fractions with denominator 12.
8/12 - 5/12
Since 8/12 and 5/12 have the same denominator, subtract them by subtracting their numerators.
8-5/12
Subtract 5 from 8 to get 3.
3/12
Reduce the fraction 3/12 to lowest terms by extracting and canceling out 3.
1/4
Brenda is trying to save money. She learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it. Brenda had $2,345 in her savings account at the end of the year. How much interest did Brenda get from her bank.
A) $117.25
B) $1,172.59
C) $1.72
D) $17.25
Answer:
117.25
Step-by-step explanation:
Find the equation for the line shown on the right.
What is the equation for the line shown on the right?
(Simplify your answer. Type your answer in standard form, using integer
coefficients with A20.)
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
The line graph
First, consider the following points on the graph.
[tex](x_1,y_1) = (8,0)[/tex]
[tex](x_2,y_2) = (8,8)[/tex]
First, calculate the slope.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8-0}{8-8}[/tex]
[tex]m = \frac{8}{0}[/tex]
[tex]m =[/tex] undefined
Since, the slope is undefined; we simply consider only the value of x.
The line equation is:
[tex]x = 8[/tex]
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
Vertical/ x = 25.
Step-by-step explanation:
Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.
Vertical angles are also congruent (equal), meaning that both angles equal 75°.
4x - 25 = 75.
To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.
25 + 75 = 100
Lastly, divide 100 from 4.
4x = 100
100 / 4 = 25
x = 25
A population of 384 prairie dogs live in an area of 16 km2. What is the the population density?
Question 13 options:
368 prairie dogs/km2
400 prairie dogs/km2
4 prairie dogs/km2
24 prairie dogs/km2
6184 prairie dogs/km2
Answer:
[tex]24[/tex] prairie dogs per square kilometer
Step-by-step explanation:
To find the population density, simply divide the population by the area they live in. In this case, the population is [tex]384[/tex] prairie dogs and they live in an area of [tex]16[/tex] km². Therefore, the population density is [tex]\frac{384}{16} = \bold2\bold4[/tex] prairie dogs per square kilometer. Hope this helps!