Mark has taken four tests so far this quarter. His grades were 88%, 95%, 80%, and 92%. What is the mean of his test scores?
Answer:
88.75%
Step-by-step explanation:
add all the terms given = 355
there are 4 terms.in this set.
355 ÷ 4 = 88.75
Giải phương trình vi phân sau
Y"=2y'+y=e^x
You likely mean to write the differential equation,
y'' - 2y' + y = exp(x)
The homogeneous part
y'' - 2y' + y = 0
has characteristic equation
r² - 2r + 1 = (r - 1)² = 0
with a root at r = 1 with multiplicity 2, so the characteristic solution is
y = C₁ exp(x) + C₂ x exp(x)
For the particular solution, we assume an ansatz
y = ax² exp(x)
where a is an unknown constant. Differentiating the ansatz twice:
y' = ax² exp(x) + 2ax exp(x) = (ax² + 2ax) exp(x)
y'' = (ax² + 2ax) exp(x) + (2ax + 2a) exp(x) = (ax² + 4ax + 2a) exp(x)
Substitute y and its derivatives into the DE:
(ax² + 4ax + 2a) exp(x) - 2 (ax² + 2ax) exp(x) + ax² exp(x) = exp(x)
Solve for a :
(ax² + 4ax + 2a) - 2 (ax² + 2ax) + ax² = 1
2a = 1
a = 1/2
Then the particular solution is
y = 1/2 x² exp(x)
The general solution is then
y = C₁ exp(x) + C₂ x exp(x) + 1/2 x² exp(x)
Can someone help me please?
Answer:
put your equation into fractions and then see what or which 1mathces with the image
Step-by-step explanation:
help me please please
Answer:
i think its D or 14/16
Step-by-step explanation:
Answer:
[tex]\frac{14}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] + [tex]\frac{10}{16}[/tex]
Before adding we require the denominators of both fractions to be common
Multiply numerator/ denominator of first fraction by 4
= [tex]\frac{1(4)}{4(4)}[/tex] + [tex]\frac{10}{16}[/tex]
= [tex]\frac{4}{16}[/tex] + [tex]\frac{10}{16}[/tex] ( now add the numerators leaving the common denominator )
= [tex]\frac{4+10}{16}[/tex]
= [tex]\frac{14}{16}[/tex]
The fraction can be simplified by dividing the numerator/ denominator by 2 to
[tex]\frac{7}{8}[/tex]
helpp anyone?? :(
No linkssss porfavorr plaesaaje cjkq
Answer:
127/100 = 1.27
1.4
1 whole and 1/3 = 1.5
Step-by-step explanation:
Hope this helps
May I get Braineist pls
A survey found that in a sample of 75 families, 26 owned dogs. A survey done 15 years ago found that in a sample of 60 families, 26 owned dogs. Find the 95% confidence intervals of the true difference in the proportions.
The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:
75 = 100 26 = X 26 x 100/75 = X 34.66 = X 34.66 x 0.95 = 32.93 34.66 x 1.05 = 36.40 60 = 100 26 = X 26 x 100/60 = X 43.33 = X 43.33 x 0.95 = 41.16 43.33 x 1.05 = 45.50 45.50 - 32.93 = 12.57 41.16 - 36.40 = 4.76
Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
Learn more about maths in https://brainly.com/question/25989509
What is the LCD/LCM of this equation
-12.2 + 2.8W - 8.8 = 1.05w
Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W
Step-by-step explanation:
Answer:
LCD/ LCM = 100
Step-by-step explanation:
- 12.2 + 2.8W - 8.8 = 1.05W
- 12 [tex]\frac{2}{10}[/tex] + 2 [tex]\frac{8}{10}[/tex] W - 8 [tex]\frac{8}{10}[/tex] = 1 [tex]\frac{5}{100}[/tex] W
- [tex]\frac{122}{10}[/tex] + [tex]\frac{28}{10}[/tex] W - [tex]\frac{88}{10}[/tex] = [tex]\frac{105}{100}[/tex] W
the LCM/ LCD is 100
On a number line, where would 2/10 be located? Choose all answers that make
a true statement.
Explain this picture
combine like terms (3x-2y+z)+(5z-8x-5y)+(-15x+8z)
Answer:
−20−7+14
Step-by-step explanation:
What is the vertex of the absolute value function below?
(will give brainliest)!!!
(–3, –2)
(–3, 2)
(2, –3)
(2, 3)
Answer:
(-3,2)
Step-by-step explanation:
Go where the two coordinates match, you'll see that it's (-3,2).
I see that that's Edge2021, I know how that feels. :/
Hope this helped! :)
Answer:
(-3, 2)
Step-by-step explanation:
r less than one-eighth
Answer:
what did you mean
Step-by-step explanation:
is not a question
A statistics teacher was interested in the relationship between the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used
to obtain the regression equation ý= -3.64x + 96.5, where x represents the number of procrastination days and ý is
the predicted grade. What is the predicted grade of a student who procrastinated for 1 week?
O24.59
71.02
O 92.86
O. 96.5
Answer:
71.02
Step-by-step explanation:
x is the number of days
1 week = 7 days
-3.64 (7) + 96.5 = 71.02
Multiply the numerator and the denominator of the given fraction by the following factor to find an equivalent fraction
Fraction: 8/15
Factor: 4x
Answer:
32/60
Step-by-step explanation:
because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)
numerator: 8*4=32
denominator: 15*4=60
final equivalent fraction: 32/60
what does 5/6+1/3 equal
Answer:
5/6 + 1/3 = 7/6
Step-by-step explanation:
Find two numbers whose sum 7500 and whose product is the maximum value.
(Round your answer to the nearest whole number.)
Blank = 1
Blank = 2
The two numbers whose sum is 7500 and whose product is a maximum value are 3750 and 3750.
Let the two numbers be x and y.
Since their sum equals 7500,
x + y = 7500 (1)
Their product f(x,y) = xy (2)
We desire to maximize the product.
From (1), x = 7500 - y
Substituting x into (2), we have
f(x,y) = xy
f(x,y) = (7500 - y)y
f(y) = 7500y - y²
To maximize the product, we find the value of y that maximizes f(y), we differentiate f(y) and equate it to zero.
So, df(y)/dy = d(7500y - y²)/dy
f'(y)/dy = d(7500y)/dy - dy²/dy
f'(y)/dy = 7500 - 2y
Equating it to zero, we have
7500 - 2y = 0
7500 = 2y
y = 7500/2
y = 3750
To determine if this gives a maximum for f(y), we differentiate f'(y) with respect to y.
So, f"(y) = d(7500 - 2y)dy
f"(y) = 0 - 2
f"(y) = -2 < 0.
So, y = 3750 gives a maximum for f(y) = f(x, y)
Since x = 7500 - y
Substituing y = 3750 into the equation, we have
x = 7500 - 3750
x = 3750
So, the two numbers whose sum is 7500 and whose product is a maximum product are 3750 and 3750.
Learn more about product of two numbers here:
https://brainly.com/question/15607519
WILL MARK BRAINLIEST The width of a table is 2 feet less than the length. The area is 20 square feet. Find the dimensions. Show and
explain all work using mathematical concepts in this module.
Answer:
length ≈ 5.583 ft
width ≈ 3.583 ft
Step-by-step explanation:
If we let x represent the length of the table in feet, then the width is (x-2). The area is ...
A = LW
20 = x(x -2)
Writing this in standard form gives ...
x^2 -2x -20 = 0
The coefficients used in the quadratic formula are a=1, b=-2, c=-20. The solutions are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(-20)}}{2(1)}\\\\=\dfrac{2\pm\sqrt{4+80}}{2}=1\pm\sqrt{21}[/tex]
Of these values, the only one that makes sense is ...
length = 1+√21 ≈ 5.583 ft
width = length -2 ≈ 3.583 ft
Let width is x
length be x+2
Area=Length ×Breadthx(x+2)=20x²+2x=20x²+2x-20=0On solving
we get
x is around 3.58 or 3.6ft
Width=3.6ftLength=3.6+2=5.6ftHow many terms does the expression 14 + 9 have? What are they? Explain how you know.
Answer:
23, so 1. i know because i added 14+9 and got 23. im sorry if you meant like a definition term, please comment if thats what you meant. because i'll help you then.
Step-by-step explanation:
Robin is making floral arrangements for a party. Each arrangement has 8 roses and 10 carnations. Each carnation costs $0.75 and each rose costs $1.85. Which expression represents the total cost for one arrangement? A 8 + 10 + (0.75 + 1.85) B (8 + 0.75)(10 + 1.85) C 10(0.75) + 8(1.85) D 8(0.75) + 10(1.85)
what is the unit rate if there are 1,760 in 8 servings
Answer:
Unit rate = 220 calories
Step-by-step explanation:
In order to find the unit rate, you simply have to divide the total number of calories (1760) by the number of servings (8).
1760/8=220.
Therefore, the unit rate is 220 calories.
Look at the graph below. What is the slope of the line?
A. - 1/2
B - 2
C. 1/2
D. 2
Answer:
1/2
Step-by-step explanation:
We know two points on the line
(-1,1) and (3,3)
The slope of a line is given by
m = (y2-y1)/ (x2-x1)
= ( 3-1)/(3- -1)
= (3-1) /(3+1)
= ( 2/4
= 1/2
5. What is the measure of Angle WVX in the given square?
Answer:
try 90°C for an answer, good luck
10 miles per hour is an example of an objects what?
Step-by-step explanation:
Speed is the correct answer
Help me I need the math problem
Answer:
y=4x-3
Step-by-step explanation:
Answer:
DO i care... no ask your dam teacher won der why u aint pass
Step-by-step explanation:
1plss help, it time.............................
Answer:
24 in
Step-by-step explanation:
Compare "like" things:
Big/small = Big/small
30/L = 10/8
Crossmultiply
240 = 10L
Divide by 10
240/10 = 10L/10
24 = L
Please help?!! Hurry please!!
Answer:
C. [tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} [/tex]
Explanation:
[tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} \\ = \frac{ {m}^{2} - 2m + m - 2 }{ {(m)}^{2} - {(1)}^{2} } \\ = \frac{ m(m - 2) + 1(m - 2)}{(m - 1)(m + 1)} \\ = \frac{(m + 1)(m - 2)}{(m - 1)(m +1) } \\ = \frac{(m - 2)}{(m - 1)} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Examine the figure. What is the measure of angle a?
Answer:
59Step-by-step explanation:
90+31=121
180-121=59
Answer:
a=59
basic fact:
angles on a straight line add up to 180
Step-by-step explanation:
we can ignore b for a start
31+90+a=180
121+a=180
121+59=180
a=59
a box contains 4 red balls and 6 purple balls. Ezra takes out a ball, puts it back and then takes out another ball. what is the probability that both balls were red
Answer:
16/100 = 4/25
Step-by-step explanation:
4/10 * 4/10 = 16/100
Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .
Answer:
y= -2x+9
Step-by-step explanation:
First of all, since they need to be parallel, they must have the same slope to never intercept. Next, you can use a graphing calculator to test y-intercepts like desmos. You will find that 9 works, as it goes through (4,1) and never intercepts with the 1st line.
-2(x-6)=6 help me out
Answer:
x = 9
Step-by-step explanation:
i took the quiz
[tex]\mathfrak{-2(x-6)=6} [/tex]
[tex]\mathfrak{-2x+12=6} [/tex]
[tex]\mathfrak{-2x=6-12} [/tex]
[tex]\mathfrak{-2x=-6} [/tex]
[tex]\boxed{\mathfrak{x=3} }[/tex]