Hey everybody! Can somebody help me solve this problem? I don't need a big explanation just the answer and a brief explanation on how you get it! Look at photo for problem.
Answers
Given the ordered pairs:
(-12, -16), (-3, -4), (0, 0), (9, 12)
Let's say that the first coordinate corresponds to x, and the second one corresponds to y. Then, the constant of variation k relates x and y as:
\(y=k\cdot x\)Using the ordered pairs:
\(\begin{gathered} -16=-12k\Rightarrow k=\frac{4}{3} \\ -4=-3k\Rightarrow k=\frac{4}{3} \\ 0=0\cdot k\text{ (this means that it is correct)} \\ 12=9k\Rightarrow k=\frac{4}{3} \end{gathered}\)We conclude that the constant of variation is:
\(k=\frac{4}{3}\)Related Questions
Given that m / ABC is a straight angle,
find m/ ABD and m/DBC.
A
(7x+14)º
B
D
(3x + 6)º
C
Answers
Answer:
The measurement of ABD is 126°.
The measurement of DBC is 54°
Step-by-step explanation:
A straight line has a measurement of 180.
7x + 14 + 3x + 6 = 180 combine like terms
10x + 20 = 180 Subtract 20 from both sides
10x + 20 - 20 = 180 - 20
10x = 160 Divide both sides by 10
\(\frac{10x}{10}\) = \(\frac{160}{10}\)
x = 16
ABD
7x + 14 Substitute in 16 for x
7(16) + 14
112 + 14
126
DBC
3x + 6 Substitute in 16 for x
3(16) + 6
48 + 6
54
What is the mode for the following set of data?
2, 5, 7, 8, 11, 11, 12
8
10
11
no mode
Answers
Answer:
11 is the answer
Step-by-step explanation:
In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character
Answers
Answer:
A. Emperor is the main character
Step-by-step explanation:
I've read it before
HURRY PLEASE....... Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data?
Answers
Answer:b
Step-by-step explanation:
two beads for every 3
Add. 4.52 + 7.99 (Round your answer to the nearest tenth place
Answers
Answer:
12.50
Step-by-step explanation:
4.52 is roundes to 4.50. Then, 7.99 is rounded to 8. Thus, 4.50 + 8 = 12.50
please answer this question:)
Answers
Answer:
your answer will be A. 38.5°
Step-by-step explanation:
m<ZYW=1/2(77)
=38.5
hope it helps..
Ryan made a graph to show how his age compared to his cat's age:
https://cdn.kastatic.org/ka-perseus-graphie/064c0e31501cc204d854579b7068936262a66449.svg
When Ryan is 20 years old, how old will his cat be?
Answers
Answer:
Khan academyStep-by-step explanation:
Let's use the graph to think about the difference between Ryan's age and his cat's age. That will help us think of an equation we can use to find how old Ryan's cat will be when Ryan is 20 years old.
DIFFERENCE IN AGES AND EQUATION
Ryan's age 6 8 10
\Maroon {↓−5start color #9e034e, minus, 5, end color #9e034e \marooned{\downarrow-5} ↓−5start color #9e034e, minus, 5, end color #9e034e \5} ↓−5start color #9e034e, minus, 5, end color #9e034e
Cat's aged 1 3 5
The cat's age is always 5 years less than Ryan's age, so we can write an equation to find the cat's age (c) in terms of Ryan's age (r): \(c=r−5\)
IS THERE ANOTHERE EQUATION WE COULD USE
How old is the cat when Ryan is 20?Let's find the value of c when \(r=20\)
\(c =r−5=20−5=15\)
AnswerWhen Ryan is 20 years old, his cat will be \(15\) years old
Which of the following could be the polynomial described?
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The polynomial described is (x+4)(x-5)(x²-2) and the correct option is C.
What is polynomial?
In arithmetic, a polynomial is an expression consisting of indeterminates and coefficients, that involves solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
Main body:
according to question:
A polynomial has zeros at x = -4 and x = 5 and a double zero at x = 2.
so factors of polynomial are (x+4) , (x-5), (x²-2).
when there is double zero , the power of that factor is 2.
so the polynomial described is (x+4)(x-5)(x²-2).
hence the correct option is C.
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7x+y=8
Solve the equation for y.
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Chlorpheniramine 100 ml
Lidocaine 2 oz
Banana flavoring ½ tsp
Take 10 ml BID
How many days will this solution last?
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The number of days that this solution will probably last would be = 8 days.
How to calculate the total number of days the solution will last?To calculate the number of days the solution will last the following is taken into consideration.
The parameters given which are not in ml should be converted to ml as follows;
2 Oz of Lidocaine to ml = 2×29.6=59.2ml
½tsp of banana flavouring;
= 1/2×4.92
= 2.5ml
Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml
But 2×10 = 1 day
20ml = 1 day
161.7ml = X
Make X the subject of formula;
X = 161.7/20
= 8.1
= 8 days.
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20 kilograms increased by 25%
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Answer:
25 kilograms
Step-by-step explanation:
Solve the inequality x+2<14
Answers
Answer:
x<12
Step-by-step explanation:
x+2<14
(Subtract 2 from both sides)
x<12
A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answers
Answer:
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, length is 192 cm.
Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according toE = 6,400p − 80p2.a)Because E represents consumer expenditure, only values of E ≥ 0 have meaning. For what p-values is E ≥ 0? (Enter your answer using interval notation.)
Answers
As per the given expenditure, the p value is 80
The term p value refers a number, calculated from a statistical test, that describes how likely you are to have found a particular set of observations if the null hypothesis were true.
Here we have given that suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to
E = 6,400p − 80p2.
where E represents consumer expenditure, only values of E ≥ 0 have meaning.
And we need to find value of P.
Through the given question we have identified the function of the following,
=> E = 6,400p − 80p²
Here we have to take p as common variable then we get,
=> E = p (6400 - 80p)
Now, take 80 as the common value then we get
=> E = 80p(80 - p)
When we equate this one with zero, then ew get
=> 80p(80-p) = 0
=> 80 - p = 0
Therefore, p is 80.
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I need help on this question. I will send you my answer and correct me and explain what I have done wrong.
Answers
From the question we are given the equation
\(7-i-4(I-6)=5(4-i)-2(1-i)\)Assuming the I represents i then we have
\(7-i-4(i-6)=5(4-i)-2(1-i)\)now we are to solve for i by expanding the bracket
This gives
\(7-i-4i+24=20-5i-2+2i\)Next we are to collect like terms
\(\begin{gathered} 7+24-i-4i=20-2-5i+2i \\ 31-5i=18-3i \\ -5i+3i=18-31 \\ -2i=-13 \end{gathered}\)Finally we have
\(\begin{gathered} i=\frac{-13}{-2} \\ i=\frac{13}{2} \end{gathered}\)Therefore, the value for i is
\(i=\frac{13}{2}\)Wanda's homework was to find 73% of $400
A tape diagram. 0 dollars is 0 percent. Question mark dollars is 73 percent. 400 dollars is 100 percent. (7.3) (400) = 2,920. 73 percent of 400 dollars is 2,920 dollars.
What error did Wanda make?
O None. Wanda’s work is correct.
O Wanda converted the percent to a decimal incorrectly. It should be 0.073.
O Wanda converted the percent to a decimal incorrectly. It should be 0.73.
O Wanda has the wrong label. It should be hours, not dollars.
btw im asking these questions for people who doesnt have these questions
Answers
Answer: C because she went back to im just trying to help the team out
Answer:
(C) wanda converted the percent to a decimal incorrectly. it should be 0.73.
I answer (C) and it was correct.
Step-by-step explanation:
Give the other person brainliest ↑↑
hope it helps
In measuring the central tendency of the data from a skewed distribution, the median would be preferred over the mean in most cases because:
a.
The median is the most frequently occurring score in the distribution
b.
The mean is sensitive to extreme scores and this will obscure the true “center” of the distribution
c.
The median is less than the mean and smaller numbers are always appropriate for the “center.”
d.
The mean measures the spread in the data.
Answers
In measuring the central tendency of the data from a skewed distribution, the median would be preferred over the mean in most cases because:
B. The mean is sensitive to extreme scores and this will obscure the true “center” of the distribution
How to interpret Measure of Central Tendency?A skewed distribution is neither symmetric nor normal because the data values trail off more sharply on one side than on the other.
For skewed distributions, there is a large possibility of an outlier as it could be skewed either to the left or right heavily.
In this regards, the mean is most sensitive to outliers and as a result the median should be used when extreme scores or skewed distributions are present.
Finally, the median is less affected than the mean by extreme scores and skewed distributions.
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Please see the attached.
Answers
Answer:
min: 56
lower quartile: 70
median: 74
upper quartile: 80
max: 86
An experiment consists of rolling a standard six-sided die once. Event A is "rolling a 5{}^{\prime\prime} and event B is "rolling an odd number."
Are the events dependent or independent? Why?
Select the option that correctly answers both questions.
A) Events A and B are dependent, because P(A)≠P(B|A).
B) Events A and B are independent, because P(A)=P(B|A)=1/12.
C) Events A and B are dependent, because P(B)≠P(B|A).
Answers
Events A and B are dependent, because P(A)≠P(B|A). The correct option is A.
How to illustrate the events?From the information, the experiment consists of rolling a standard six-sided die once. Event A is "rolling a 5 and event B is "rolling an odd number."
Events A and B are dependent because the outcome of event A (rolling a 5) affects the probability of event B (rolling an odd number). The probability of rolling a 5 is 1/6, while the probability of rolling an odd number given that you have already rolled a 5 is 0. The probability of rolling an odd number is 1/2, and thus P(A) ≠ P(B|A)
In simple terms, Events A and B are dependent because outcome of event A affects the probability of event B happening.
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Steve spent $40 at the grocery store. He bought bottled water, soda, and sandwiches. A bottle of water costs $1.50, a bottle of soda costs $2, and a sandwich costs $3. If he bought 10 bottles of water and 5 bottles of soda, how many sandwiches did he buy?
Answers
Answer:
5 sandwiches.
Step-by-step explanation:
$15 for the water, $10 for the soda. So if you add 15 and 10 that's 20. 40-25 = 15 on sandwiches. If each sandwich is $3, then that's 5 sandwiches.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of sandwiches bought is 3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of a bottle = $1.50
Cost of a soda = $2
Cost of a sandwich = $3
Number of bottles bought = 10
Number of sodas bought = 5
Number of sandwiches bought = S
Total amount spend = $40
Now,
10 x 1.50 + 5 x 2 + 3S = 40
Simplify.
15 + 10 + 3S = 40
25 + 3S = 40
Subtract 25 on both sides.
3S = 40 - 25
3S = 15
Divide both sides by 3.
S = 15/3
S = 3
Thus,
The number of sandwiches bought is 3.
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a straight line passes through points A(-2,6) and B(4,2). M is the midpoint of line AB.Find the coordinates of M
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Answer:
(1,4)
Step-by-step explanation:
Can someone please explain how to do this.
Answers
Answer: 9/30
Step-by-step explanation:
select all the expressions that have a value greater than 19 X 12
Answers
Answer:
123
Step-by-step explanation:
Which of these could not be probability a 3.5 B.35353535C 5.3 D 53% or e 530%
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The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
From the options given, we will have to test each of them to see if they fall within the definition
For option A
3.5 is greater than 1, so it could not be a probability
For option B
35353535 is greater than 1, so it could not be a probability
For option C
5.3 is greater than 1, so it could not be a probability
For Option D
\(53\text{ \% means }\frac{53}{100}\)\(\frac{53}{100}=0.53\)Since 0.53 falls between 0 and 1, it could be a probability
For Option E
\(530\text{ \% means }\frac{530}{100}\)=>
\(\frac{530}{100}=5.3\)5.3 is greater than 1, so it could not be a probability
Therefore, in conclusion
Options A, B, C and E could not be probability
Find f-1(x) and it’s domain.
Answers
For given function f(x) = √x + 9, the inverse function and domain are respectively, f⁻¹(x) = (y - 9)², x ≥ 0 & x ∈ (∞, ∞)
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Given that,
A function,
⇒ f(x) = √x + 9
f⁻¹(x) = ?
the given function is defined for all the values of x,
So domain of the function is real number,
x ∈ (∞, ∞)
Now for f⁻¹(x),
Suppose, f(x) = y
y = √x + 9
y - 9 = √x
squaring both the sides,
(y - 9)² = (√x)²
x = (y - 9)²
And value of x should be greater than zero
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Cliff takes out a $5,000 personal loan with 7
fixed annual interest compounded monthly to pay for his wedding. He repays the loan in 2 year.s
How much total interest does Cliff pay on his loan?
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Cliff pays a total interest of approximately $679.90 on his $5,000 loan.
To calculate the total interest paid on the loan, we need to use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the final amount (loan amount + interest)
P is the principal (loan amount)
r is the annual interest rate (in decimal form)
n is the number of times interest is compounded per year
t is the number of years
Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:
P = $5,000
r = 7% = 0.07
n = 12 (monthly compounding)
t = 2 years
\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)
Calculating this expression:
A ≈ 5000\((1.00583)^{(24)\)
A ≈ 5000(1.13598)
A ≈ 5679.90
The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):
Total Interest = A - P
Total Interest = 5679.90 - 5000
Total Interest ≈ $679.90
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Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.
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Using the Intersecting secants theorem, the length of JK in the given diagram is 17
Intersecting secants theorem: Calculating the length of of JKFrom the question, we are to determine the length of JK in the given diagram.
The diagram shows a circle with intersecting secants.
From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".
Then,
We can write that
JK × KL = NM × ML
From the given diagram,
KL = 14
NM = 14
ML = 17
Substituting the values
JK × 14 = 14 × 17
JK = (14 × 17) / 14
JK = 17
Hence, the length of JK is 17
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The two triangles shown are
OA. both similar and congruent
OB. only similar
OC. neither similar nor congruent
OD. only congruent
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What is the place value of 1 of 574.8931.
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Evaluate 4 + 6(a) when a = 2.
Answers
Answer:
16
Step-by-step explanation:
Since a = 2, we can plug in 2 for a.
4 + 6(2)
4 + 12
16