Answer:
1 cm2 = 0.155 in2; 1 in2 = 6.4516 cm2
Step-by-step explanation:
Welcome, Brainlest Please?
find the formula for a function of the form y=ae^(-x)+bx with global minimum at (1,10).
The formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].
We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:
FDT
[tex]-a\cdot e^{-x}+b = 0[/tex] (1)
[tex]b = a\cdot e^{-x}[/tex]
SDT
[tex]y''=a\cdot e^{-x}[/tex] (2)
Where [tex]y'' > 0[/tex].
If we know that [tex](x, y) = (1, 10)[/tex], then we have the following system:
[tex]10 = a\cdot e^{-1}+b[/tex] (3)
[tex]b = a\cdot e^{-1}[/tex] (4)
[tex]y'' = a\cdot e^{-1}[/tex] (5)
By (4) in (3):
[tex]10 = 2\cdot a\cdot e^{-1}[/tex]
[tex]a = \frac{10}{2\cdot e^{-1}}[/tex]
[tex]a = 5\cdot e[/tex]
By (5) we prove that [tex]y'' > 0[/tex], and we get the value of [tex]b[/tex] by (4):
[tex]b = 5[/tex]
Thus, the formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].
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10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4
liters of synthetic oil. In order to make 518 liters of Petrolyn oil, how many liters of natural oil are needed?
Step by step please
you have the ratio of natural:synthetic so;
3:4
3+4=7
357/7=51
3*51:4°51
153:204
therefore, it'd be 204 litres of synthetic oil!!
i hope this helps you!!
Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?
For team A and team B
I WILL MARK YOU A BRAINLIEST
Answer:
25-10 (25 - A and 10 - B)
Step-by-step explanation:
25 - 10 equals the 15 point margin
25 plus 10 equals the 35 point score combined
Hope it helps
Plsss help I will give you the branlyest answer
Answer:
4 1/4 is the answer u want
PLZ HELP
What question should you ask yourself first when factoring polynomials?
A: Can I divide all terms by a GCF?
B: What is the exponent of the first term?
C: What is the degree of the polynomial?
D: Are there four terms?
Answer:
The correct answer is A: Can I divide all terms by a GCF?
explanation:
I took the quiz
Line /1 and line /2 are parallel line
Step-by-step explanation:
1=56⁰
2=56⁰
3=68⁰
4=68⁰
5=56⁰
6=112⁰
7=180-124 Ans=56⁰
8=68+56 Ans=124⁰
9=68⁰
10=112⁰
11=124⁰
12=56⁰
IT TOOK 15MINS mark me BRAINLIEST pls!1. Find the value of y that corresponds to x = 5 :
y = - 4 + 5(x + 6)
Answer:
X=5
y= -4+5(5+6)
y= -4+25+30
y= -4+55
y = 51
40.75 in word form.
Answer:
forty and seventy-five hundredths
Step-by-step explanation:
first number with always stay the same. after decimal each number you go up a thenths place. so in this case ten, hundreths
____________is the exact average deviation of data values from the mean in squared units, and ____________ is the approximate average deviation of data values from the mean in regular units.
Variance is the exact average deviation of data values from the mean in squared units and the Standard deviation of data values from the mean in regular units.
Variance is a statistical measure of the dispersion of numbers in a data collection. Variance estimates how much more each number in the set deviates from the mean, and from each and every other number in the set.
The variance is a measure of the degree of variability. It is determined by averaging the squared deviations out of the mean.
The greater the spread of the data, the greater the variance in proportion to the mean.
The standard deviation is determined as the square root of variance by calculating the departure of each data point from the mean. The standard deviation represents the average level of variation in your dataset. It informs you how far each number deviates from the mean on average.
Learn more about Variance here:
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what you've learned from it. Was it a success or a challenge?
Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24.80 for 10 postcards and 15 envelopes. What was the cost in dollars of each large envelope?
A-$1.42
B- $1.15
C- $0.35
D- $0.63
The cost in dollars of each large envelope is $1.42.
Two equations can be derived from this question:
14p + 5l = 12 equation 1
10p + 15l = 24.80 equation 2
Where:
p = postcards
l = large envelopes
To determine the cost of large envelopes, multiply equation 1 by 10 and equation 2 by 14.
140p + 50l = 120 equation 3
140p + 210 = 347.20 equation 4
Subtract equation 3 from 4
227.20 = 160l
Divide both sides of the equation by 160
l = 227.20 / 160
l = $1.42
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(2, 7); m = -3
(Write an equation in point-slope form of the line that passes through the given point and has the given slope)
Answer:
Step-by-step explanation:
y - 7 = -3(x - 2)
y - 7 = -3x + 6
y = -3x + 13
How do I get a percentage of a number
Answer:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
a/4−5/6=−1/2 big ideas
Answer:
4/3
Step-by-step explanation:
A/4 - 5/6 = -1/2(A6 - 20)/24 = -1/2A6 - 20 = -(1/2) x 24A6 = -12 + 20A6 = 8A = 8/6A = 4/3How much flour and vanilla would you need for 5 batches of cookies
Answer: 25 cups of flour & 10 teaspoons of vanilla
Step-by-step explanation: A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.
5 x 5 is 25 cups of flour
2 x 5 is 10 teaspoons of vanilla
[tex]5/12 + 11d/12 - 3 = 3d + 7 - 4d.[/tex]
PLEASE HELP!!
Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14
Answer:
Step-by-step explanation:
V = πR²h
V = π3²6
V = 54π units³
If π = 3.14, V = 169.56 units³
Sara left a bin outside in her garden to collect rainwater. She notices that one over eight gallon of water fills two over three of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
Answer:
3/16
Step-by-step explanation:
In order to get the amount of water to fill a bin, we just divide the amount of water by the fraction of the bin it fills. This makes the unit of the resulting answer as gallons/bin or gallons per bin.
4 kilometers x miles
Answer:
6 437 376 m2 (2.49 mi)
Step-by-step explanation:
0.62137119 miles = 1 kilometer
Help plz I don’t understand how to do this math below
1. [tex] \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} [/tex]
2. [tex] \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} [/tex]
- BRAINLIEST answerer
1. When multiplying fractions, multiply the numerators and multiply the denominators:
1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15
2. When dividing fractions multiply by the inverse of the second fraction.
2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3
Only answer this if you know the answer.
Find out the gradient of both blue lines
Answer
first line=4.1,10
second=6,10
Step-by-step explanation:
Choose the best answer.
The area of the face of a quarter is about
O A. 63 cm
OB. 63 m2
O C. 63 mm2
O D. 63 dm?
Answer:
One face of a US quarter has an area of approximately 461.21 square millimeters.
Step-by-step explanation:
156) If x= 2in X A) P= 6.28 in B) P= 10.5 in C) P= 12.57 in D) P= 18.34 in
Answer:
P = 6.28
Step-by-step explanation:
To find the perimeter of a circle, you would use the formula 2πr.
The diameter = x and x = 2
The radius of a circle is half the diameter so r = 1.
Now we just substitute to get our answer:
2 · [tex]\pi[/tex] · r = P
2 · 3.14 · 1 = P
6.28 · 1 = P
6.28 = P
P = 6.28
Pls help need asap thx!
Answer: C
Step-by-step explanation: it has to go like this a m
Victor rode his
skateboard 18 miles. If one kilometer
is approximately equal to 0.6 miles,
how many kilometers did Victor skateboard last week?
Answer:
30 kilometers
Step-by-step explanation:
18 divided by 0.6 is 30
What would be the next number in this series? 135 45 180 60 240 80
Answer:
135/45 =3
180=45 multiple by 4
180/60=3
240=60 multiple by 4
It is divide.by 3 and multiply by 4
hence =80 multiply 4= 320
whats the answer can someone answer please
Answer:
5. b and 6. c
Step-by-step explanation:
Answer:
5. b
6. c
Step-by-step explanation:
A bucket holds 5l when full.Find the quantity of water in litres and millilitres when the bucket is 3/4 full.
Answer:
3.75 lt or 3750 mlts
Step-by-step explanation:
A chemist has three different acid solutions. The first acid solution contains 20 % 20% acid, the second contains 30 % 30% and the third contains 60 % 60% . They want to use all three solutions to obtain a mixture of 90 90 liters containing 35 % 35% acid, using 2 2 times as much of the 60 % 60% solution as the 30 % 30% solution. How many liters of each solution should be used
Answer:
Step-by-step explanation:
37,4gam
Jackie works as a server at a local restaurant. She makes $8 per hour. She worked 34 hours last week. She made $250 in tips. What was her gross pay?