Answer:
40
Step-by-step explanation:
40/4 = 2+40/5 = 10
please help I have to have this done soon
Answer:
5x^3y^3
I think this is the ansuer
Solve dy/dx = xy, y(0) = 2. Find the interval, on which the solution is defined.
Answer:
The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.
Step-by-step explanation:
o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.
Starting with the given differential equation:
dy/dx = xy
We can rearrange the equation to isolate the variables:
dy/y = x dx
Now, let's integrate both sides with respect to their respective variables:
∫(dy/y) = ∫x dx
Integrating the left side gives us:
ln|y| = (1/2)x^2 + C1
Where C1 is the constant of integration.
Now, we can exponentiate both sides to eliminate the natural logarithm:
|y| = e^((1/2)x^2 + C1)
Since y can take positive or negative values, we can remove the absolute value sign:
y = ± e^((1/2)x^2 + C1)
Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:
2 = ± e^(C1)
Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:
2 = e^(C1)
Taking the natural logarithm of both sides:
ln(2) = C1
Now, we can rewrite the general solution with the determined constant:
y = ± e^((1/2)x^2 + ln(2))
Pls, help!!!!! me!!!!!!!!!!!1
Answer:
B.
Step-by-step explanation:
- 9 2/7 - (-10 3/7)
= -9 2/7 + 10 3/7
= -65/7 + 73/7
= 8/7
= 1 1/7.
Find the value of a and b in the picture below.
a + 5
3b
111°
15
a =
and b =
degrees
Answer:
Where is the picture?????
Determined three ways have a total cost of six dollars each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.
The cost of the apples is 2.9 dollars.
The cost of the bananas is 5.7 dollars.
How to find the number of fruits bought?The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.
Therefore,
let
x = number of apples
y = 2x
where
y = number of bananasTherefore, using equations,
1.5(x) + y(0.30) = 6
Hence,
where
y = 2x
1.5(x) + 2x(0.30) = 6
1.5x + 0.6x = 6
2.1x = 6
divide both sides by 2.1
x = 6 / 2.1
x = 2.9 dollars
y = 2(2.9) = 5.7 dollars
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charlie's teacher claims that he does not study and just guesses on exams. on an exam with 201 true-falsequestions, charlie answered 53.7% of the questions correctly. calculations using these results show that if hewere really just guessing, there would be roughly 1 chance in 7 that he would do this well. is there statisticallysignificant evidence against the teacher's claim that charlie is just guessing? why or why not?4
There is No statisti-cally signi-ficant evidence against the teacher's-claim that Charlie is just guessing because the probability is very low.
The total number of True-false questions are = n = 201.
The probability of getting a correct answer by guessing is = p = 0.5,
Charlie answered 53.7% = 0.537 of the questions correctly,
So, P(p' ≥ 0.537)
⇒ P(z ≥ (0.537 - 0.5)/√(0.5×0.5)/201,
⇒ P(z ≥ 1.05) = 1 - P(z < 1.05)
⇒ 0.1469
Since, the probability is very low,
Therefore, there is not any significant evidence against the teachers claim.
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what is the slope of the line below?
give an exact number. plz help !
What is the value of the expression 3x[(7+8)x2+6]
Answer:
\(108\)
Step-by-step explanation:
\(3 \times ((7 + 8) \times 2 + 6) \\ 3 \times (15 \times 2 + 6 \\ 3 \times (30 + 6) \\ 3 \times (36) \\ = 108\)
hope this helps
brainliest appreciated
good luck! have a nice day!
The graph represents the purchasing power of your
income if the inflation rate is eight percent.
What is your current monthly income, if your
purchasing power is $2,300?
Your current monthly income, before the effect of inflation, is approximately $2,129.63.
To determine your current monthly income, we need to account for the effect of inflation on the purchasing power of your income. Given that the inflation rate is eight percent, we can calculate the original income before the inflation adjustment.
Let's denote your current monthly income as "X."
The purchasing power after accounting for eight percent inflation is $2,300. This means that your original income, before the inflation adjustment, would have had a higher value. We need to find this original income.
Inflation reduces the purchasing power of your income, so we need to increase the current purchasing power by the inflation rate to find the original income. In this case, we'll increase $2,300 by eight percent:
Original Income = $2,300 / (1 + 0.08)
Original Income = $2,300 / 1.08
Original Income ≈ $2,129.63
Therefore, your current monthly income, before the effect of inflation, is approximately $2,129.63.
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–6x ≥ 72 solve (please help me because I'm not sure if my answer is correct or not)
My answer: x ≤ -12
Yes you are correct. You divide both sides by -6 to isolate x. Dividing both sides by a negative number will flip the inequality sign.
If you need to graph this, then you'll have a closed circle at -12 on the number line. Then you'll have shading to the left of this closed circle. The closed circle indicates "include this endpoint as part of the shaded solution set".
Answer: \(x\geq 12\)
Step-by-step explanation: You messed up the sign
Edit: No I messed up, you were right
How do you arrange the angles of a triangle from smallest to largest?
If you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.
What are angles?Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry. Two rays can form angles in the plane where they are positioned.
Angles are also produced when two planes intersect.
These are what are known as dihedral angles.
Consequently, if you have three side lengths, you should discover the lowest angle by finding the angle that is opposite the smallest side, the medium-sized angle by finding the angle that is opposite the medium-sized side, and the greatest angle by finding the angle that is opposite the largest side.
Therefore, if you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.
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A factory makes 8000 tubs of ice cream, each tub contains 500 millilitres. How many litres of ice cream does the factory make?
Answer:
4,000 L (4 thousand)
Step-by-step explanation:
1 tub = 500 mL
2 tub = 1000 mL = 1 L
8000 tubs = 4,000,000 mL = 4,000 L
Hope this helps! Pls give brainliest!
HELP ASAP PLEASE ASAP PLEASE
Answer:
Step-by-step explanation:
x intercept the coordinate : (-4,0)
y intercept coordinate(0,3)
y=mx+b
y=b=3 when x=0
m=3-0/0+4
m=3/4
y= 3/4 x +3
-3/4 x+y=3
first choice -3/4 x second choice - 1 (y) third choice 3
what is
(9-k)10= -10
Answer:
8k + 9
———————
10k + 9
Step-by-step explanation:
uhh i tried
3 less than the product of a number g and 49?
Answer:
The equation for this is:
n(g) + 49 - 3
Step-by-step explanation:
The term "Product" means "multiplication." And "number" can be reduced to the term "n," like "g" is. The word "and" means "addition." And, "3 less" means - 3:
n(g) + 49 - 3
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
49g -3
Step-by-step explanation:
3 less than the product of a number g and 49
Writing an algebraic expression
less than means it comes after
the product of a number g and 49
49g
3 less than
49g -3
A rectangular parking lot is surrounded on its perimeter by a fence that is 1200 feet long. if the length of a rectangular parking lot is 5 times it’s width which equation can be used to find the width of the parking lot
Answer:
fah)',55%9+*_)64•%π\¥)--_f
Answer:
2w+2(w+5)=1200
Step-by-step explanation:
a park area with four a activity locations is drawn on the coordinate plane below
SOLUTION
From the diagram in the picture, the point (2, -3) is the point for Lake.
Hence the answer is Lake
Plz, Help me with this question!!!!
Answer:
option 1. 2/3x-2
Hope this helps! :)
Answer:
2/3x-2
Step-by-step explanation:
a block of ice in the shape of a right circular cone with a radius of 30cm and a height of 10 cm starts melting in a uniform way, preserving its shape and proportions. The height decreasing at a rate of 2 cm/hr. How fast is the volume decreasing when the height is 1 cm
The rate of change of volume dV/dt when the height is 1 cm is approximately equal to -2,820 π/3 cm³/h.
Let V be the volume of the block of ice, h be the height of the block of ice, and r be the radius of the block of ice. It is given that r = 30 cm, h = 10 cm, and dh/dt = -2 cm/h. We need to find the rate of change of volume dV/dt when the height is 1 cm.
To find the rate of change of volume dV/dt, we can use the chain rule of differentiation.
dV/dt = dV/dh × dh/dt
We know that the volume of a right circular cone is given by:
V = 1/3 πr²h
When the radius is constant, we get:
dV/dh = 1/3 πr²dh/dh = 1/3 πr²
Also, we know that dh/dt = -2 cm/h.
Substituting the values of r, h, and dh/dt in the formula for dV/dt, we get:
dV/dt = (1/3 × π × (30)²) × (-2)= -2,820 π/3
The rate of change of volume is approximately equal to -2,820 π/3 cm³/h. The negative sign shows that it is decreasing.
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Which list shows the numbers in the table in order from least to greatest?
a
0.7, 65%, 5/8, 2/3
b
0.7, 5/8, 65%, 2/3
c
5/8, 65%, 2/3, 0.7
d
5/8, 2/3, 65%, 0.7
Answer:
The answer is C
Step-by-step explanation:
5/8 = 0.625 , 65% = 0.65, 2/3 = 0.66 so
o.625 < 0.65 < 0.66 < 0.7
The sum of two consecutive odd integers is -56. What are the integers
Answer:
-27 and -29
Step-by-step explanation:
Calculate: 9.34 - 11.7 + (-6.571)= ?
Solution
\(\begin{gathered} 9.34-11.7+(-6.571) \\ 9.34-11.7-6.571 \\ -8.931 \end{gathered}\)Therefore, the asnwer is
\(-8.931\)Rosie is flying a kite. She holds the kite string 1m from the ground. The kite string is 10m long and the kite flies at an angle of 40 degrees. Calculate the height of the kite above the ground.
The height of the kite above the ground is approximately 6.427m.
To compute the level of the kite over the ground, we can utilize geometry. The point of 40 degrees is between the kite string and the ground, so we can utilize the sine capability.
sin(40) = level of kite/length of kite string
level of kite = sin(40) x length of kite string
level of kite = sin(40) x 10m
level of kite ≈ 6.427m
So the level of the kite over the ground is around 6.427m. Since Rosie is holding the string at 1m over the ground, the absolute level of the kite starting from the earliest stage be 6.427m + 1m = 7.427m.
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b. Is there a pattern in the table? Explain.
Answer:
no photo
Step-by-step explanation:
we need a photo to decide if answer is correct or not
A random sample of 25 of the record high temperatures in the United States had a mean of 114.6 degrees Fahrenheit and the standard deviation to be \( s=9.13 \). Find the standard error of \( x \) for
The standard error of the mean is 1.826.
The given information is,
Mean = 114.6,
Standard deviation = s = 9.13
Sample size = n = 25
We have to calculate the standard error of the mean, which is defined as the ratio of the standard deviation of the population (σ) to the square root of the sample size (n).
That is,
\[\large{SE}=\frac{\sigma}{\sqrt{n}}\]
The formula for the standard error is given as,
SE = (s / sqrt(n))
Here,
s = 9.13
n = 25
Now, substituting the given values in the formula, we get,
SE = (9.13 / sqrt(25))SE = (9.13 / 5)SE = 1.826
Hence, the standard error of the mean is 1.826.
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ratio analysis can be made more meaningful in all the following ways except by?
Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.
Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.
In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.
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The full question:
ratio analysis can be made more meaningful in all the following ways except by?
John goes to a restaurant and has a bill of 32.57. He uses a 10% off coupon on the cost of the meal. The tax is 8%. He leaves a tip of 18% on the amount before the coupon or tax is applied. how much does he spend?
The total amount spent by John is $37.78.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that John goes to a restaurant and has a bill of 32.57. He uses a 10% off coupon on the cost of the meal. The tax is 8%. He leaves a tip of 18% on the amount before the coupon or tax is applied.
Amount left as a tip -
{t} = 18% of 32.57
{t} = 18/100 x 32.57
{t} = 5.87
Amount included in tax -
8% of 32.57
8/100 x 32.57
2.61
Billed amount after coupan is applied -
10% of 32.57
10/100 x 32.57
$3.26
Amount spend -
(32.56 - 3.26) + 2.61 + 5.87
$37.78
Therefore, the total amount spent by John is $37.78.
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Chapter 10: Quadratic Relations and Conic Sections Answers
To solve problems related to quadratic relations and conic sections, use the following formulae, respectively:
1. ax^2 + bx + c = 0
2. (x - h)^2 + (y - k)^2 = r^2
How to resolve quadratic relations and conic sectionsA quadratic relation is a type of equation in which the highest power of the variable is two. The general form of a quadratic equation is:
ax^2 + bx + c = 0
where a, b, and c are constants and x is the variable.
This is closely related to conic sections which are geometric shapes that can be obtained by intersecting a plane with a double-napped cone. If we assume the equation of a circle with center (h, k) and radius r is, a good equation that can be used to resolve this will be:
(x - h)^2 + (y - k)^2 = r^2.
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I need help with math 8th grade
Answer:
I've never done that before I'm confused too man
Answer:
I believe it would be 2=-8-10
Step-by-step explanation:
-8-10=2
What is the least common multiple of 5 and 20? Please I need this!!!!!
Answer: 20
Step-by-step explanation:
where do 5 and 20 meet at the first time, 5, 10, 15, 20, so 20 would be the lcm
Answer: 20
Step-by-step explanation:
The least common multiple (LCM) for 5 and 20 will be 20. This is because if you times 5 by 4, you will get 20. Your other number is already 20 so you don't have to touch that number.