y is inversely proportional to the square of x.
When x=3, y=8
Work out an equation connecting y and x.
Step-by-step explanation:
x²y = k, where k is a real constant.
When x = 3, y = 8.
Therefore k = (3²)(8) = 72.
The equation is x²y = 72 or y = 72/x².
What is the total? Add those together.
Answer:
whats the whole question
Step-by-step explanation:
Jerry sold hot dogs at the county fair. If he sold 8 hot dogs for 40 dollars, how much money would he make if he sold 24 hot dogs?
Answer:
120
Step-by-step explanation:
5 x 24 is 120. i used a calculator
Answer: If he sold 24 hot dogs he made $120.
Step-by-step explanation:
$40/8=$5 per hot dog
$5*24=$120
How many solutions does the system of equations below have?
x − 4y = 6
2x − 8y = 12
Answer: Infinitely many solutions.
Step-by-step explanation:
When looking at the system, it is immediately clear that the second equation is simply the first equation with all terms multiplied by 2. Therefore, there are infinite solutions because these are actually the same exact line when graphed and will always equal each other no matter what the values for x and y are.
2.4 - 5.5 -4n + 8?
Simplify your answer use integers or decimal for any numbers in the expression
Answer:
4.9 - 4n
Step-by-step explanation:
Given the expression;
2.4 - 5.5 -4n + 8?
Collect like terms;
2.4 - 5.5 -4n + 8?
2.4 - 5.5 + 8-4n
-3.1 + 8 - 4n
4.9 - 4n
Hence the simplified form of the equation is 4.9 - 4n
write the place value of each decimals 1.0 59
Answer:
1.059×1000 is the value of the following
Answer:
1=ones
0=tenths
5=hundredths
9= thousandths
Hope this helps
Step-by-step explanation:
What is this? Please answer with an explanation
Answer:
5
Step-by-step explanation:
1. in order to calculate all the required values, it needed to solve:
[tex]\sqrt{x-5} \geq 0; \ <=> \ x\geq 5.[/tex]
2. x≥5 means, that x∈[5;+∞), where beginnig is '5'.
Solve the following
1. 1/3 × 2/5 =
2. 5/6 × 5/9 =
3. 1/5 × 3/7 =
4. 5/7 × 3/8 =
5. 3/10 × 2/4 =
6. 2/5 × 2/10 =
7. 1/8 × 2/3 =
8. 1/5 × 1/2 =
9. 1/2 × 2×7 =
10. 4/5 × 3/8 =
a square field is 30m long find its perimeter
Answer:
90m
Step-by-step explanation:
long sides are 30 each and the top sides are 15 each
Find the mean of this set of values
15 8
12 14 10 13
The mean value is:
Hey there!
Basically the mean is the average of your given set that you have!
Here is your formula:
mean = SUM of each over your terms DIVIDED BY NUMBER of terms
“15, 8, 12, 14, 10,13”
SUM = addition
15 + 8 + 12 + 14 + 10 + 13
15 + 8 = 23
23 + 12 + 14 + 10 + 13
23 + 12 = 35
35 + 14 + 10 + 13
35 + 14 = 49
49 + 10 + 13
49 + 10 = 59
59 + 13 = 72
72 / NUMBER OF TERMS
Number of terms: 6
72 / 6 = 12
Thus your answer your answer: 12 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Helppp please will give brailiest
Sheila walked 7.7 km to the library.
Using the table above, about how many miles did she walk?
Answer:
Sheila walked 6 Miles.
Step-by-step explanation:
6 Miles
For homework, Ari had to find 5% of $900. Did he do the work correctly? A tape diagram. There are 5 parts out of a whole of 100. There are question mark parts out of a whole of 900. StartFraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 EndFraction = StartFraction 18,000 Over 900 EndFraction Are Ari’s calculations correct? No. Ari multiplied the denominators incorrectly. No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction No. Ari should have divided, not multiplied. Yes. Ari’s work is correct.
Answer:
B
Step-by-step explanation:
i took the test lol
Answer: For homework, Ari had to find 5% of $900. Did he do the work correctly?
A tape diagram. There are 5 parts out of a whole of 100. There are question mark parts out of a whole of 900.
Start Fraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 End Fraction = StartFraction 18,000 Over 900 EndFraction
Are Ari’s calculations correct?
x No. Ari multiplied the denominators incorrectly.
✔ No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction
x No. Ari should have divided, not multiplied.
x Yes. Ari’s work is correct.
7. A rectangular lot is entirely enclosed by a fence.
If the lot measures 225 feet long and 165 feet
wide, what is the length, in yards, of the fence?
a. 360
b. 390
c. 260
d. 1,560
e. 2,340
Answer:
it is 390
Step-by-step explanation:
Which of the following values represents (f^-1)'(-1/8) where f(x) = (3x - 1)^3?
A. -1/2
B. 4/9
C. 9/4
D. 1/6
E. -1/6
Answer:
Answer:A.
x f(x)
-2 4
-1 1
0 0
1 1
2 4
B.
x f(x)
1 6
2 7
3 8
4 9
5 10
C.
x f(x)
-2 -3
-1 -1
0 1
1 3
2 5
D.
x f(x)
1 3
2 6
3 9
4 12
5 15
Step-by-step explanation:
The required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.
What is implicit differentiation?The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
Here,
Let f(x) = y
Given function,
y = [3x -1]²
The inverse of the above function is given as,
f⁻¹(x) = [∛x + 1]/3
Differentiate the above inverse function,
[f⁻¹(x)]' = 1/[9x²/³]
Substitute x = 1/8
[f⁻¹(1/8)]' = 1/[9(1/8)²/³]
[f⁻¹(1/8)]' = 4 / 9
Thus, the required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.
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A school fair is selling tickets. On the first day they sell 1 adult ticket and 4 child tickets to make $63. On the second day they make $105 by selling 3 adult tickets and 5 child tickets. How much do adult tickets cost? How much are child tickets?
(Pls show work)
Answer:
1 adult ticket costs $9.45
1 child ticket cost $3.15
Step-by-step explanation:
63/5 = 12.6
12.6/4 = 3.15
12.6 - 3.15 = 9.45
I think this is correct if not search up
PLEASE HELP ME WITH THIS QUESTON 19 THE TABLE IS NEXT TO IT
Answer:
11.8 miles on 0.1 gallons of fuel
1180 miles on 10 gallons of fuel
Step-by-step explanation:
Answer:
row 1: 0.1 gallons = 11.8 miles
row 3: 10 gallons = 1180 miles
Step-by-step explanation:
if 1 gallon = 118 miles, you can use the 118 and multiply o.1 or 10.
apply the distributive property to create an equivalent expression
(6e - 3f - 4) . 2 =
Answer:
12e - 6f - 4
Step-by-step explanation:
What is the surface area of the cube below?
4 m
4 m
4 m
12 square meters
64 square meters
80 square meters
96 square meters
Answer: A=6a2
Step-by-step explanation:
did it help?^﹏^
A bus travels 18 km in 30 minutes. What is the average speed of the bus?
Answer:
36km hr
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. x=22/2, y = 8
B. X= 2, y = 416
C. x=21/2, y= 2/6
D. x= 23, y = 613
Answer:
[tex]\displaystyle y=2\sqrt{6}[/tex]
[tex]\displaystyle x=2\sqrt{2}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.
Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:
[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]
Solving for y:
[tex]y=4\sqrt{2}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]
Simplifying:
[tex]\displaystyle y=2\sqrt{6}[/tex]
Now we use the sine ratio:
[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]
Solving for x:
[tex]x=4\sqrt{2}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}:[/tex]
[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]
Simplifying:
[tex]\displaystyle x=2\sqrt{2}[/tex]
The choices are not clear, but it seems like the correct answer is C.
[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]
[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]
explain how to find 45% of a number
A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.
If one was to find what 45% of a certain number was, they would have to A-multiply the number by 0.45.
To find the percentage of a number, the following equation applies:
= 45% x Number
45% when written as a decimal is:
= 45 ÷ 100
= 0.45
The equation can therefore be written as:
= 0.45 x Number
In conclusion, 45% of a number can be found by multiplying it by 0.45.
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Solve the system of linear equations by elimination. Check your solution.
Answer:
x = 3
y = -1
Step-by-step explanation:
(x-y) + (x+y) = 4 + 2
2x = 6
x = 3
sub x=3 into x+y=2
3+y=2
y=2-3
y=-1
Check by subbing x=3 and y=-1 into x-y=4
(3)-(-1) = 3+1 = 4
Help me please asappp
an excise tax is a tax on what?
Answer:
excise taxes are taxes on specific goods like gasoline
Step-by-step explanation:
parallel to the line y=2/5x+4 passes through (7,6); write in point-slop form
Answer:
85555555555555555
Step-by-step explanation:
according to college survey, 22% of all students work full time. find the mean for the random variable X, the number of students who work full time in smaples of size 16
Answer:
[tex]Mean = 3.52[/tex]
Step-by-step explanation:
Given
[tex]Sample\ Size = 16[/tex]
[tex]Proportion = 22\%[/tex]
Required
Determine the mean of the proportion
The mean or expected value of a sample is calculated by multiplying the sample size by the proportion as follows;
[tex]Mean = n *p[/tex]
Where
[tex]n = 16[/tex] -- Sample Size
[tex]p = 22\%[/tex] -- Proportion
So:
[tex]Mean = n *p[/tex] becomes
[tex]Mean = 16 * 22\%[/tex]
Convert 22% to decimal
[tex]Mean = 16 * 0.22[/tex]
[tex]Mean = 3.52[/tex]
Hence, the mean is 3.52
Write the number five million four thousand three hundred in standard form.
Answer:
5,004,300
Step-by-step explanation:
Flaws in concrete beams follow a Poisson process. Beams fabricated by process A have flaw rates of 10/meter while beams fabricated by process B have flaw rates of 5/meter. From a yard containing equal numbers of process A and process B beams one beam is selected at random and a 1-meter length of the beam is inspected. If 8 flaws are found what is the probability the inspected beam was fabricated using process A?
Answer:
P(A | Y = 8) = 0.633
Step-by-step explanation:
It is really a simple and interesting question, as it involves the Poisson distribution and probability.
First of all, let's try to understand the problem statement clearly. It says that there are two process by which beams are made, namely A and B.
It further states that, beam made by process A has = 10 flaws per meter.
Beam made by process B has = 5 flaws per meter.
Finally, it says that from a yard containing equal numbers of process A and process B beans, one beam is randomly selected and 1 - meter of it is inspected. And they have found 8 flaws in it.
We now, have to find out the probability that the inspected beam is from process A.
For this,
Let's suppose, Y is no. of flaws
So,
P (Y=8|A) = [tex]\frac{e^{-10}. 10^{8} }{8!}[/tex]
where , e = Euler's Constant = 2.71828
P (Y=8|A) = 0.11
Similarly for process B
P (Y=8|B) = [tex]\frac{e^{-5}. 5^{8} }{8!}[/tex]
P (Y=8|B) = 0.06
As, we know from the problem statement that there are equal numbers of process A and process B beams.
So, the probability of A = Probability of B = 0.5
P(A) = 0.5
P(B) = 0.5
We need to find, P(A|Y=8) and for this we need to find the P(Y=8) first.
Using the law of total probability:
P(Y=8) = P(Y = 8 |A) P(A) + P(Y = 8|B) P(B)
Plug in the values:
P(Y=8) = (0.11 x 0.5) + (0.06 x 0.5)
P(Y=8) = 0.088
Now, by applying Bayes Theorem, we can find the required probability:
P(A | Y = 8) = P(Y = 8 | A) P(A) / P(Y = 8)
8 flaws are found, the probability the inspected beam was fabricated using process A is :
P(A | Y = 8) = 0.11 x 0.5 / 0.088
P(A | Y = 8) = 0.633
Furthermore,
8 flaws are found, the probability the inspected beam was fabricated using process B is :
P(B | Y = 8) = 1-P(A | Y = 8)
P(B | Y = 8) = 1 - 0.633
P(B | Y = 8) = 0.367
- Which expression shows 50 + 30 written as a product of two factors?
10(5+2)
5(10+3)
5(10 + 7)
10(5+3)
Answer:
10(5+3)
Step-by-step explanation:
The required expression would be 10(5+3) which is written as a product of two factors and the correct answer would be option (D).
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
We have been given that expression as:
⇒ 50 + 30
We need to write 50 and 30 as the product of its prime factors,
50 = 5 × 5 × 2 and 30 = 2 × 3 × 5
So 50 + 30
⇒ 5 × 5 × 2 + 2 × 3 × 5
Common factor out, and we get
⇒ 5 × 2 (5 + 3)
⇒ 10(5 + 3)
Therefore, the correct answer would be an option (D).
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