Answers
Answer:
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Related Questions
Solve using law of exponents
Answers
In order to join an online movie club there is a $15 sign-up fee and then $3 per movie. Write an equation
in slope intercept form to represent the cost of being a member of the club based on how many movies you
Watch. What does the slope represent? What does the y-intercept represent? If someone has spent $57,
How many movies have they watched??
Answers
Explanation:
The equation would be:
y = 3x + 15
Where: the y-intercept represents the sign up fee and the slope represent the cost for each movie watched.
57 = 3x + 15
57 - 15 = 3x
42 = 3x
42/3 = x
14 = x
If someone spent 57$ they have watched 14 movies.
Line g passes through points (2, 3) and (5, 2). Line h is perpendicular to line g. What is the slope of line h?
Answers
The slope of the line h is 3
Let m1 be the slope of line g and m2 be the slope of line h.
Line g passes through points (2, 3) and (5, 2).
Using the formula of slope,
m1 = (2 - 3)/(5 - 2)
m1 = -1 / 3
Line h is perpendicular to line g.
We know that the product of slopes of the perpendicular lines is -1.
m1 * m2 = -1
(-1/3) * m2 = -1
m2 = 3
Therefore, the slope of the line h is 3
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The length of the base of an isosceles triangle is x. The length of a leg is 3x-7. The perimeter of the triangle is 70. Find x.
Answers
The length of a leg is 2x-5. (other leg the same length)
Question states*** perimeter of the triangle is 20
x + (2x-5) + (2x-5) = 20
5x - 10 = 20
5x = 30
x = 6, the length of th ebase. The length of each leg is 7
Answer:
HELLO CARA IT'S ME CONNIE, I MISS U SO MUCH!! <33
1/2x - 7 = 1/3(x-12) what is x?
Answers
Answer:
x = 18
Step-by-step explanation:
took test!!
Answer:
x=18
Step-by-step explanation:
.................
Graph the line that passes through the points (3, -6) and (-6, -3) and determine
the equation of the line.
Answers
Answer:
y=-1/3x-5
Step-by-step explanation:
Find th percent in the fastest way. 6 1/4% of $3872
Answers
keeping in mind that 6¼ is just 6 + ¼ or 6 + 0.25 or just 6.25
\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6.25\% of 3872}}{\left( \cfrac{6.25}{100} \right)3872}\implies 242\)
After 4 years, $20,000 deposited in a savings account with simple interest had earned $800 in interest. What was the interest rate?
Answers
The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.
We can use the formula for simple interest to solve the problem:
Simple interest = (Principal * Rate * Time) / 100
where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.
We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:
$800 = (20,000 * Rate * 4) / 100
Multiplying both sides by 100 and dividing by 20,000 * 4, we get:
Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%
Therefore, the interest rate for the savings account is 5%.
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2x^3=128
work out the value of x
Answers
Step-by-step explanation:
2x^3=128
or,x^3=128/2
or,x^3=64
or,x=3√64
or,x=4
Mental processes or behavior patterns that cause emotional distress or substantial impairment in functioning are considered _____ A. conditions of worth. B. psychological disorders. C. trait theories. D. cognitive distortions.
Answers
Answer: b) psychological disorders
Step-by-step explanation:
Steven wants to buy a $590 bicycle. Steven has no money saved, but will be able to deposit $50 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $60 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
Answers
Answer:
13 weeks
Step-by-step explanation:
Add 590 and 60 together and then divide by 50 and you'll get 13
Can you help me explain
Answers
Answer:
x = 10
Step-by-step explanation:
We need to isolate X.
3x - 7 = x + 13
subtract 13
3x - 7 - 13 = x
combine like terms
3x - 20 = x
subtract 3x
- 20 = x - 3x
Combine like terms
- 20 = - 2x
Divide by -2
10 = x
PLEASE HELP ME!!!!!!! I’ll give 40 points
Answers
Answer:
350
Step-by-step explanation:
7 x 10 to the 7th power is 70000000 and 2x 10 to the 5th power is 200000, if you divide them yo get 350.
suppose the scores for a sample of 10 students on priciple of
microeconomics exam as follows: 95,65,70,70,85,90,100,40,75,80.
what is the mean absolute deviation of the test scores for this
sample of Suppose the scores for a sample of 10 students on a Principles of Microeconomics exam are as follows: \( 95,65,70,70,85,90,100,40,75,80 \). What is the mean absolute deviation of the test scores for t
Answers
To calculate the mean absolute deviation (MAD) of the test scores for this sample, follow these steps:
Find the mean (average) of the test scores:
Mean = (95 + 65 + 70 + 70 + 85 + 90 + 100 + 40 + 75 + 80) / 10
= 750 / 10
= 75
Find the absolute deviation for each test score by subtracting the mean from each score and taking the absolute value:
Absolute Deviation = |Score - Mean|
Absolute Deviation for each score:
|95 - 75| = 20
|65 - 75| = 10
|70 - 75| = 5
|70 - 75| = 5
|85 - 75| = 10
|90 - 75| = 15
|100 - 75| = 25
|40 - 75| = 35
|75 - 75| = 0
|80 - 75| = 5
Calculate the sum of the absolute deviations:
Sum of Absolute Deviations = 20 + 10 + 5 + 5 + 10 + 15 + 25 + 35 + 0 + 5
= 130
Find the MAD by dividing the sum of the absolute deviations by the number of scores (10 in this case):
MAD = Sum of Absolute Deviations / Number of Scores
= 130 / 10
= 13
Therefore, the mean absolute deviation (MAD) of the test scores for this sample is 13.
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a taxi charges a $3.00 fee per ride plus $1.25 per mile ridden. Jason's fare for a taxi ride was $20.50. Write an equation and solve it to determine the number of miles (m) that Jason rode in the taxi.
Answers
Answer:
14 miles
Step-by-step explanation:
\(3 + 1.25x = 20.50\\1.25x = 17.5\\x = 14\)
Apples are prepared in a process with two resources. The first resource has a capacity of 2.1 apples per hour. The capacity of the second resource is 4.4 apples per hour. The first resource has 1 worker and the second resource has 4 workers. Demand for this process is 1.6 apples per hour. Wages are $8 per hour.
What is the cost of direct labor (in $)?per unit
Answers
The cost of direct labor per unit is $5.628 per apple.
To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.
Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".
The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:
L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)
The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:
L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)
Now, let's calculate the total labor hours required per unit:
Total labor hours per unit = L₁ (first resource) + L₂ (second resource)
= 0.4762 hours/apple + 0.2273 hours/apple
= 0.7035 hours/apple (rounded to 4 decimal places)
Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:
Cost of direct labor per unit = Total labor hours per unit * Wage rate
= 0.7035 hours/apple * $8/hour
= $5.628 per apple (rounded to 3 decimal places)
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how to set up 54.88x7.3
Answers
Answer:
400.624
Step-by-step explanation:
54.88
x 7.3
_____
16464
+ 38416
________
400.624
have a nice day.
a frozen yogurt factory makes 100 quarts of frozen yogurt in 5 hours. how many quarts could be made in 36 hours
Answers
The required quarts of frozen yogurt made in 36 hours as per the given information is equal to 720 quarts.
Quarts of frozen yogurt made by factory is equal to 100 quarts
Time required to make 100 quarts of frozen yogurt is equal to 5 hours
Let 'x' quarts of frozen yogurt made in 36 hours
5 hours = 100 quarts of frozen yogurt
⇒ 1hour = ( 100 / 5 ) quarts of frozen yogurt
⇒ 36 hours = ( 100 / 5 ) × ( 36 ) quarts of frozen yogurt
⇒ 36 hours = ( 20 ) × ( 36 ) quarts of frozen yogurt
⇒ 36 hours = ( 720 ) quarts of frozen yogurt
Therefore, the quarts of frozen yogurt made in 36 hours is equal to 720 quarts.
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solve for x:
3cx-b=adx+5f
Answers
\(3cx - b = adx + 5f \\ 3cx - adx = 5f + b \\ x(3c- ad) = 5f + b \\ \\ x = \frac{5f + b }{3c- ad} \)
I hope I helped you^_^
How do I write 1 over 2x + 6 in factored form?
Answers
The expression 1 over 2x + 6 in factored form is written as 1/2(x+3)
What are algebraic expressions?
Algebraic expressions are described as mathematical operations that consist of variables, coefficients, terms, constants and factors.
They are also made up arithmetic operators, which includes;
DivisionFloor divisionAdditionParenthesesBracketMuitiplicationSubtraction, etcFrom the information given, we have to determine the factored form of the expression;
1 over 2x + 6
This is represented as;
1/2x + 6
Let's factorize the denominator
1/2(x + 3)
Hence, the expression is 1/2(x+3)
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-35-490 ÷7+12 PLEASE I NEED HELP URGENT
Answers
Hope this helps!
Brainliest?
Answer:
-93
Step-by-step explanation:
-35-490 ÷7+12
= -35-(490 ÷7)+12
= (-35-70)+12
= -105 + 12
= -93
The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.
From the given scenario, we can conclude that events A and B are
Answers
Answer:
dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
According to the Question,
Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.Thus, The events A, B and A∩B are:
A - Jane will go to a ballgame on Monday;
B - Kate will go to a ballgame on Monday;
A∩B - Kate and Jane both go to the ballgame on Monday.
P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Answer:
From the given scenario, we can conclude that events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
Correct answer for plato users
[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]
Answers
The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.
Let's calculate the matrix product C = AB step by step:
Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.
In this case, both matrices satisfy this condition, so the product C = AB is defined.
Calculating AB:
AB = [23 + 912 26 + 94 21 + 95]
[103 + 612 106 + 64 101 + 65]
Simplifying the calculations:
AB = [6 + 108 12 + 36 2 + 45]
[30 + 72 60 + 24 10 + 30]
AB = [114 48 47]
[102 84 40]
Therefore, the product C = AB is:
C = [114 48 47]
[102 84 40]
In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:
C = [114 48 47]
[102 84 40]
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a coin is flipped, then a 6-sided die is rolled. what is the probability of getting heads and an even number?
Answers
The probability of getting a head when a coin is flipped and the probability of getting an even number when a dice s rolled is 1/2.
What is probability?The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 1/2 is what we write.So, the probability formula:
P(E) = Favourable events/Total events
Probability of getting heads:
P(E) = Favourable events/Total events
P(E) = 1/2
Probability of getting an even number:
P(E) = Favourable events/Total events
P(E) = 3/6
P(E) = 1/2
Therefore, the probability of getting a head when a coin is flipped and the probability of getting an even number when a dice s rolled is 1/2.
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GIVING BRAINLEIST
b – 12 = –8
WHAT IS THIS THE CHOICES ARE
A -20
B 4
C 20
D -4
Answers
Answer:
B 4 is the correct answer
Step-by-step explanation:
b - 12 = - 8
b = 12 - 8
b = 4
there are 8 apples and 11 oranges in a bag. what is the ratio of the apples to oranges?
Answers
Answer:
8:11
Step-by-step explanation:
For every 8 apples, there are 11 oranges.
Answer:
8 : 11 = 8 : 11
Step-by-step explanation:
Divide both terms by the GCF, 1:
8 ÷ 1 = 8
11 ÷ 1 = 11
The ratio 8 : 11 cannot be reduced further by dividing both terms by the GCF = 1 :
This ratio is already in lowest terms.
Therefore:
8 : 11 = 8 : 11
The figure is formed from rectangles.
A.) 80 ft2
B.) 36 ft2
C.) 104 ft2
D.) 68 ft2
Answers
Answer:
D.) 68 ft²
Step-by-step explanation:
8×(10-2) + 2×2
8×8 + 4
64 + 4
68 ft²
Which way would the arrow for the inequality signs go if I put them on a number line?
>,
Answers
Answer: to the right
Step-by-step explanation:
Determine if λ is an eigenvalue of the matrix A. 1. A= ⎣
⎡
13
−12
7
7
−6
7
−3
−3
−27
32
−13
−9
−3
−2
−3
−7
⎦
⎤
,λ=0 A= ⎣
⎡
1
−6
−3
3
0
9
5
−5
0
−29
−17
13
0
−19
−11
7
⎦
⎤
,λ=−1 A= ⎣
⎡
6
8
−5
−5
−1
−3
1
1
2
−2
−2
−4
4
8
−3
−1
⎦
⎤
,λ=−4
Answers
In conclusion, λ = 0, λ = -1, and λ = -4 are all eigenvalues of their respective matrices.
To determine if λ is an eigenvalue of the matrix A, we need to check if there exists a non-zero vector x such that Ax = λx.
Let's calculate for each given matrix and value of λ:
A = [[13, -12, 7], [7, -6, 7], [-3, -27, 32], [-13, -9, -3]] λ = 0
To check if λ = 0 is an eigenvalue, we solve the equation (A - λI)x = 0, where I is the identity matrix.
A - λI = [[13, -12, 7], [7, -6, 7], [-3, -27, 32], [-13, -9, -3]]
Substituting λ = 0, we have:
A - 0I = [[13, -12, 7], [7, -6, 7], [-3, -27, 32], [-13, -9, -3]]
We can row-reduce this augmented matrix to its reduced row-echelon form:
[[1, -12/13, 7/13, 0],
[0, 1, -1, 0],
[0, 0, 0, 0],
[0, 0, 0, 0]]
The third row indicates that there are free variables, which means there are infinitely many solutions. Therefore, λ = 0 is an eigenvalue of matrix A.
A = [[1, -6, -3], [3, 0, 9], [5, -5, -29], [-17, 13, 0]] λ = -1
To check if λ = -1 is an eigenvalue, we solve the equation (A - λI)x = 0.
A - λI = [[2, -6, -3], [3, 1, 9], [5, -5, -28], [-17, 14, 1]]
Substituting λ = -1, we have:
A - (-1)I = [[2, -6, -3], [3, 1, 9], [5, -5, -28], [-17, 14, 1]]
Row-reducing the augmented matrix:
[[1, -3, -3/2, 0],
[0, 1, 3, 0],
[0, 0, 0, 0],
[0, 0, 0, 0]]
Again, the third row indicates that there are free variables, which means there are infinitely many solutions. Therefore, λ = -1 is an eigenvalue of matrix A.
A = [[6, 8, -5, -5], [-1, -3, 1, 1], [2, -2, -2, -4], [4, 8, -3, -1]] λ = -4
To check if λ = -4 is an eigenvalue, we solve the equation (A - λI)x = 0.
A - λI = [[10, 8, -5, -5], [-1, 1, 1, 1], [2, -2, 2, -4], [4, 8, -3, 3]]
Substituting λ = -4, we have:
A - (-4)I = [[10, 8, -5, -5], [-1, 1, 1, 1], [2, -2, 2, -4], [4, 8, -3, 3]]
Row-reducing the augmented matrix:
[[1, 2, -1/2, -1/2],
[0, 0, 0, 0],
[0, 0, 0, 0],
[0, 0, 0, 0]]
The second row indicates that there is a free variable, which means there are infinitely many solutions. Therefore, λ = -4 is an eigenvalue of matrix A.
In conclusion, λ = 0, λ = -1, and λ = -4 are all eigenvalues of their respective matrices.
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B) work out (3. 6 * 10 ^ - 5) / (1. 8 * 10 ^ 2) give your answer in standard form.
Answers
The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as = 2 * 10^-7
A canonical, normal, or standard form of a mathematical object is a conventional manner of presenting that item as a mathematical expression in mathematics and computer science. It is frequently the one that gives the simplest representation of an item and allows it to be identified in a unique fashion.
A quantity is said to be stated in standard form if it is written as the product of a power of ten and a number higher than or equal to one but less than ten (or scientific notation).
The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as follows:
=3.6 * 10^-5 / (1.8 * 10^2)
= (3.6 / 1.8) * (10^-5 / 10^2)
= 2 * 10^-7
Therefore, the answer in standard form is 2 * 10^-7.
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