The value of y when (x = 12) is 84 and this can be determined by forming the linear equation with the help of the given data.
Given :
y varies directly as xy = 35 when x = 5The following steps can be used to determine the value of y when x = 12:
Step 1 - Given that y varies directly as x, that means:
[tex]\rm y \; \alpha \; x[/tex]
Step 2 - The above expression becomes:
y = kx ----- (1)
Step 3 - Given that y = 35 when x = 5, that implies:
35 = 5k
k = 7
Step 4 - Put the value of k in equation (1).
y = 7x
Step 5 - Now, the value of y when x = 12 is:
y = 7(12)
y = 84
So, the value of y when (x = 12) is 84.
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Which expression means "y more than seven"?
Answer:
7+y
Step-by-step explanation:
I don't know how to do that
Answer:
[tex] \frac{x}{ - 6} \geqslant - 20[/tex]
[tex]x \geqslant - 20 \times ( - 6)[/tex]
[tex]x \geqslant 120[/tex]
Describe this number line and the numbers and fractions
shown.
-2
-1
0
1
2
Answer:
On the right side are the positive numbers and on the left side are the negative numbers.
Suppose a researcher wants to make sure that the probability of committing a Type I error is less than 5%. How can the researcher control for this?A. Set the value for a Type II error at 0.05.
B. Set the alpha level at 0.05.
C. Place the rejection region in both tails.
D. Both setting the alpha level at 0.05 and placing the rejection region in both tails.
Answer:
B. Set the alpha level at 0.05.
Step-by-step explanation:
Hypothesis testing is a procedure whereby a researcher determines if the null hypothesis is rejected or accepted, depending on the significant level or the alpha level. When a type I error is made, the null hypothesis is rejected even though it is correct. To solve this problem, the significant or alpha level is set to 5% or 0.05.
This is confusing if you can help me with this ASAP if your able to
Answer:
Step-by-step explanation:
5^2-3^2= 16
25-9=16
The cost to manufacture a product is proportional to the quantity produced, with a cost of $35000 dollars per day when 700 items are produced. The cost to store n items is proportional to the square of n, with a daily storage cost of $3430 dollars when 700 items are stored. In addition, there is a fixed daily cost of $7000. The total daily cost, T when producing and storing n items is the sum of production, storage and fixed costs.
Write a formula for T as a function of n.
Solution :
[tex]$T_1$[/tex] = k.n (cost proportional to quantity)
35000 = k . 700
k = [tex]$\frac{35000}{700}$[/tex]
= 50
So [tex]$T_1$[/tex] = 50 n
Now [tex]$T_2=Pn^2$[/tex] (cost proportional to square of n)
[tex]$3430= P(700)^2$[/tex]
3430 = 490000 P
[tex]$P = \frac{3430}{490000}$[/tex]
[tex]$P = \frac{7}{1000}$[/tex]
[tex]$T_2=\frac{7}{1000}n^2$[/tex]
Now, [tex]$T_3= 7000$[/tex] (fixed)
Therefore,
Total, [tex]$T=T_1+T_2+T_3$[/tex]
[tex]$T=50n+\frac{7}{1000}n^2+7000$[/tex]
[tex]$T=0.007n^2+50n+7000$[/tex]
The required formula in terms of T and n is T = 0.000[tex]n^{2}[/tex] + 50 n +7000.
Given that ,
The total daily cost = T
When producing and storing n items is the sum of production, storage and fixed costs.
The manufacturing cost of a product when 700 items produced = $35000 dollars per day.
Daily storage cost of when 700 items are stored = $3430 dollars
We have write the formula in terms of total daily cost T and n stored items.
According to the question,
The cost to manufacture a product is proportional to the quantity produced, with a cost of $35000 dollars per day when 700 items are produced.
Where ,total daily cost T and n stored items.
[tex]T_1 = k . n[/tex]
$35000 = k.700
[tex]k = \frac{35000}{700}[/tex]
k = $50
The cost to store n items is proportional to the square of n, with a daily storage cost of $3430 dollars when 700 items are stored.
[tex]T_2 = pn^{2}[/tex]
$3430 = P [tex](700)^{2}[/tex]
$3430 = P 490000
[tex]P = \frac{3430}{490000} \\\\P = \frac{7}{1000}[/tex]
There is a fixed daily cost of $7000.
[tex]T_3 = 7000[/tex]
Combine all the equation ,
Where T = [tex]T_1 = T_2 = T_3[/tex] and p = k =n
T = 0.000[tex]n^{2}[/tex] + 50 n +7000
Hence, The required formula in terms of T and n is T = 0.000[tex]n^{2}[/tex] + 50 n +7000.
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Two of the zeros of g(x) are specifically listed in the table. What are those two zeros? Then, what is the multiplicity of each zero? Give a reason for your response to both questions
Answer:
a) [tex]x = -1[/tex] and [tex]x = 2[/tex] are roots of the polynomial [tex]g(x) = a\cdot x^{3}+5\cdot x^{2}+4\cdot x + c[/tex].
b) [tex]x = -1[/tex] and [tex]x = 2[/tex] have a multiplicity of 1.
Step-by-step explanation:
a) What are those two zeroes?
The two values of [tex]x[/tex] listed in the table whose outputs are zero are roots of [tex]g(x)[/tex], defined as [tex]g(x) = a\cdot x^{3}+5\cdot x^{2}+4\cdot x + c[/tex]. In other words, those values of [tex]x[/tex] (-1 and 2) satisfies the condition that [tex]g(x) = 0[/tex].
b) What is the multiplicity of each zero?
From the Fundamental Theorem of Algebra, we know that third-order polynomials have three roots and from we understand that those two known zeroes with a multiplicity of 1, since there is a third root within [tex]0 < x < 1[/tex], where [tex]g(0) > 0[/tex] and [tex]g(1) < 0[/tex].
The table represents a linear function.
What is the slope of the function?
x. -2,-1,0,1,2
y.8,2,-4,-10,-16
answers. -6,-4,4,6
Answer:
the answer is a
Step-by-step explanation:
If in angles 5=65 what does 3 equal to
Answer:
I want to say that 3=39
Step-by-step explanation:
Jeremy buys a value pack of cheese crackers that contains 42 1/2 ounces of crackers. He divides this into servings of 1 1/4 ounces each. What is the total number of servings Jeremy can make from the value pack?
A. 34 servings
B. 44 servings
C. 53 servings
D. 85 servings
Answer:34
Step-by-step explanation:
The domain of y = sin x is the set of _______.
Answer: all real numbers!!!!
Step-by-step explanation:
just got correct!
Figure A - Figure B. Find the volume of figure B.
Answer:
use this to help you
Step-by-step explanation:
In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six.
What is 1/3 of 1/9 of a ton?
Make sure your answer is fully reduced
Answer:
0.03703703703
Step-by-step explanation:
1+5÷5×3
please help
Answer:
4
Step-by-step explanation:
I believe but i also got 3.6
Answer:
4 is the answer...
You can also used the calculator...
Step-by-step explanation:
Hope my answer helps you...
The average student college loan rate is 4%. You borrowed $18,000 per year for 4 years for tuition, room, & board. If the interest is computed as simple interest, annually, how much interest will you owe when you graduate. Assume 4 years interest on the freshman year loan, 3 years on the sophomore loan, 2 years on the junior loan, and 1 year on the senior loan.
Answer:
$7200
Step-by-step explanation:
Idk anything about math please I need help
Answer:
21 boys
Step-by-step explanation:
2:3=14:x you cross multiply this to find the amount of boys
2x=42
x=21
There are 21 boys in the class.
Basically, solve what you have there with cross-multiplication.
2x = 14 x 3
2x = 42
Then divide both sides by 2. (edited it bc didn't say what you actually had to do)
2x ÷ 2 = 42 ÷ 2
x = 21.
There are 21 boys in the class.
John lives in a state that requires you to wear a seat belt when driving in a moving vehicle. He forgot to put his seat belt on and got pulled over for breaking a law. What is the term that means breaking a law?
Answer:
illegal?
Step-by-step explanation:
Answer:
violation
Step-by-step explanation:
X + 8 = -15, x = ?
What is X? Please give a explanation on how you got your answer
Answer:
-23
Step-by-step explanation:
I just did 8+15=23 but made it negative. so you can do
-23+8= -15
Answer:
-23
Step-by-step explanation:
Which equation illustrates the additive inverse property?
Answer:
A.
Step-by-step explanation:
A negative of the same value added to positive always gives you 0
negative is inverse of positive
Omar stopped at a rest area A along this side of the highway. His map shown below had a scale of 1 inch to 40 miles. Omar planned to stop at the rest area B next. What is the actual distance in miles between the two areas? 2.5 inckes between stop A and B
Answer:
hnryujyh5treft4q5y67675
Step-by-step explanat
How do I write "the value of y is the square of the quantity two minus the value of x"?
Answer:
(y x 2) -x
Step-by-step explanation:
How far is `50\%` of a `2,000`-kilometer trip?
A number is ten less than four times another number”?
Answer:
14
Step-by-step explanation:
4y-10 + y = 20
5y - 10 = 20
5y = 30
y = 6
and then
x = 14
What are equivalent fraction to 33/48 with the numeration as 11
Answer:
11/16
Step-by-step explanation:
The first thing I would do is see 11 times what will get me 33
The answer is 3
Next I would ask myself 48 divided by 3 is what
The answer is 16
To double check my work I would do 3 x 11 = 33
3 x 16 = 48
What is a fraction form of 1.80
Answer: I think it's 1 4/5
Answer:
180/10
Step-by-step explanation:
1.80=180
1/10th of 180 is 18
18 times 10 is 180
Hey! I just want to make sure if I'm right, if I'm not, whats the answer? I'm stuck on this but I will highly appreciate it if you can help me. if you can't see the question clearly, here it is.
Veron adds some flour to a partially filled bin by pouring it
in at a constant rate until the flour reaches the brim. He
stops pouring flour when the bin is full.
Which graph could represent this scenario?
Answer:
Step-by-step explanation:
Veron adds some flour to a partially filled bin by pouring it
in at a constant rate until the flour reaches the brim. He
stops pouring flour when the bin is full.
Which graph could represent this scenario?
(2/3x+2) - (1/3x - 4)
Answer:
simplified: 6 + x/3
Step-by-step explanation:
(2/3x+2) - (1/3x - 4)
= 6 + x/3 .
Hope this helps !
Linda is playing a game. On each turn that she takes, she can earn 2 points or 3 points. She has taken 16 turns and has earned a total of 34 points. On how many turns has Linda earned 2 points?
Answer:
Linda earned 2 points on 14 turns.
Step-by-step explanation:
Given that Linda has played 16 turns and has obtained 34 points, taking into account that in each turn she can obtain 2 or 3 points, to determine the number of turns in which she obtained 2 points, the following table must be performed:
-If in 16 turns she obtained 2 points, the total points will be 32
-If in 15 turns she obtained 2 points and in 1 turn she obtained 3 points, the total points will be 33
-If in 14 turns she obtained 2 points and in 2 turns she obtained 3 points, the total of points will be 34
Therefore, Linda scored 2 points in 14 of the 16 turns played.
Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are at least 59? Please do not round your answer.
Answer:
1.35%
Step-by-step explanation:
Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 15. Using the empirical rule, what ? Please do not round your answer.
Empirical rule formula states that:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
We don't know the number of Standard deviation yet , hence:
Mean = 104
Standard deviation = 15.
At least 59
Hence:
104 - 15x = 59
104 - 59 = 15x
45 = 15x
x = 45/15
x = 3
Hence, At least 59 is 3 standard deviations away from the mean on one side of the distribution thus,
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
100% - 99.7%
= 0.003
Since it is on one side of the distribution:
= 1.5% - 0.3%
= 0.015 - 0.0015
= 0.00135
Converting to percentage
= 1.35%
The percentage of IQ scores that are at least 59 is 1.35%
Could I get help on this question in fraction form
Answer:
[tex]\frac{72-\sqrt{323} }{90}[/tex]
Step-by-step explanation:
Answer:
72- the square root of 323/90
hopw this helps plz mark brainliest!
Step-by-step explanation: