Answer:
1.46
Step-by-step explanation:
We can represent this problem as an array of dots, where each dot represents 0.73 units.
⚫️ ⚫️
We can see that the resulting product of 2 × 0.73 is just the sum of two dots. We can represent this in equation form as:
0.73 + 0.73
Finally, we can execute the addition by adding the tenths and hundredths of each number separately, then adding everything together at the end.
tenths + hundredths
(0.70 + 0.70) + (0.03 + 0.03)
1.40 + 0.06
1.46
Consider the differential equation dy/dx=xy^4.
(b) Find ⅆ2yⅆx2 in terms of x and y. Determine the concavity of all solution curves for the given differential equation in Quadrant II. Give a reason for your answer.
(c) Find the particular solution y=f(x) to the given differential equation with initial condition f(4)=−1.
The differential equation [tex]\frac{dy}{dx} = xy^{4}[/tex] is considered and the solutions for the following questions are found.
What is a differential equation?
A differential equation is an equation that links the derivatives of one or more unknown functions. Differential equations contain derivatives, which might be either partial derivatives or ordinary derivatives.
The differential equation describes a relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change.
Given,
[tex]\frac{dy}{dx} = xy^{4}[/tex]
a) Now finding [tex]\frac{d^{2} y}{dx^{2} }[/tex] = [tex]y^{4} + 4xy^{3} \frac{dy}{dx}[/tex] = [tex]y^{4} + 4xy^3 (xy^4) = y^4 + 4x^2y^7[/tex]
In quadrant II, the values of x < 0 and the values of y >0.
So [tex]\frac{d^{2} y}{dx^{2} }[/tex] = [tex]y^4 + 4x^2y^7[/tex] > 0 for all values of x and y in quadrant II.
Therefore the concavity is up for of all solution curves of the given differential equation.
b)
[tex]\frac{dy}{dx} = xy^{4}\\\\\frac{dy}{y^4} =x dx\\\\\int {\frac{dy}{y^4} } \, = \int {x} \, dx \\\\\frac{y^{-4+1} }{-4+1} = \frac{x^{2} }{2} + c\\\\\frac{y^{-3} }{-3} = \frac{x^{2} }{2} +c[/tex]
Now it is given that initial condition is f(4) = -1
So substituting x =4 and y = -1 is the above equation to find c, we get
[tex]\frac{-1^{-3} }{-3} = \frac{4^2}{2} +c \\\\\frac{1}{3} = 8 + c\\\\c = \frac{1}{3} - 8 = \frac{-23}{8}[/tex]
Therefore the solution y = f(x) is to the given differential equation with initial condition f(4)=−1.
[tex]\frac{y^{-3} }{-3} = \frac{x^{2} }{2} -\frac{23}{8}\\ \\ \frac{1}{3y^3} = \frac{46 - 8x^2 }{16} = \frac{23 - 4x^2 }{8}\\\\y = \sqrt[3]{\frac{8}{3(23-4x^2)} }[/tex]
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The figure below is divided into 100 squares of equal size.
What percent of the figure is shaded?
Answer:
45%
Step-by-step explanation:
45 boxes are shaded
so percentage shaded is 45 out of the total which is 100
so 45 / 100 X 100
=45%
a dealer sold printing machine for 47460 including 13% vat. find the original price(excluding vat).
Answer:
42000
Step-by-step explanation:
Original price (before VAT) is 100% of price.
VAT is 13%, of the original price so final price is 113% of original price.
113% = 1.13
original price = 47460/1.13 = 42000
How many one-half cubes with dimensions of One-half times 1 times 1 fit in a unit cube?
1
2
4
6
Answer:
4 i think
Step-by-step explanation:
i think 2 but i dont know for sure ahahahaha
Determine the range of f(x) = x + 51.
A-{yl-00
B-{y 1-5
C-{y|0 ≤y <∞0}
D-{y | 5 ≤y < 00}
Answer:
90670998.89999999999999
Which expression is equivalent
Answer:
10^14
Step-by-step explanation:
The expression (10^2)^7 uses an exponent rule known as power raised to a power.
The rule states that when you multiply a base and its exponent to a power, you multiply the inner exponent and the outer exponent:
[tex](a^m)^n\\a^m^n[/tex]
Thus, we have
[tex](10^2)^7\\10^2^*^7\\10^1^4[/tex]
AABC~ ADEF. What is the scale factor?
Help please
Answer:
3:1 or 3
Step-by-step explanation:
the left triangle is scaling up to the right triangle. 5/15 is 1/3
7/21 is 1/3
4/14 is 1/3
since it is scaling UP, the scale factor is 3:1
If 7/8 is multiplied by 4/5, will the product be greater than wait her of the two factors Explain.
Answer:
[tex] \frac{7}{8} \times \frac{4}{5} = \frac{7 \times 1}{2 \times 5} \\ = \frac{7}{10} [/tex]
Is the first side “SW=XW” or “ST=XU”?
Answer:
SW =XW and ST=XU and UW=TW
Step-by-step explanation:
All are true and correct since the two triangles are congruent
52 > 43 + w
is it a solution?
7 yes or no
4 yes or no
13 yes or no
9 yes or no
answer yes or no for EACH one
Answer:
Step-by-step explanation:
Six toilet rolls cost $1.99. Nine toilet rolls cost $2.69. Is cost directly proportional to number of toilet rolls? Explain your reason!
Answer:
not directly proportional
Step-by-step explanation:
if the cost is directly proportional to number of rolls , then the unit cost for both will be equal.
first
one roll costs $1.99 ÷ 6 = $0.33 ( to 2 decimal places )
second
one roll costs $2.69 ÷ 9 = $0.30 ( to 2 decimal places )
since the unit costs are different there is not a directly proportional relationship.
Answer:
No because to buy nine rolls would be $2.69 but to buy six and then three to make nine then it would be $2.985 which is more expensive.
Step-by-step explanation:
$1.99 divided by 2 = 0.995
$1.99 + 0.995 = $2.985
$2.985 > $2.69
Hope this helps!!! :)Limx→0 e^x -e^5/ x-5
Answer:e5
Step-by-step explanation:
Here you go
4. LA and B form a linear pair. If MZA = (6x - 19) and mZB = (11x-22), find mZB. A. 59" B. 65 C. 115 D. 121
Answer:
<B =121
Step-by-step explanation:
If the angles form a linear pair, they add to 180
6x-19 + 11x-22 = 180
Combine like terms
17x -41 = 180
Add 41 to each side
17x-41+41 = 180+41
17x = 221
Divide by 17
17x/17 =221/17
x =13
<b = 11x-22 = 11*13 -22 = 143-22 =121
Apply In Bhutanese architecture, the faces of
buildings are trapezoids. If the row of decorative
brick shown is 28.5 feet wide, what is the width
of the base of the building?
Answer:
Understand Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that ... 9. △ADW ≅ △CDZ. 9. SAS. 9. Apply In Bhutanese architecture, the faces of buildings are trapezoids. If the row of decorative brick shown is 28.5 feet wide, what is the width of the base of the building? 25 ft. 16 ft. 16 ft.
Step-by-step explanation:
Which of the parabolas has a maximum?
(1) y = 8x² + 6x + 6
(2) y = -2x² + 6x - 6
(3) y = 2x² - 6x + 6
(4) y = 6x² - 6x-6
Answer:
(2) y = -2x² + 6x - 6
Step-by-step explanation:
Notice that the only leading coefficient that is negative is in the 2nd equation. Hence, the shape of the parabola will be upside down, making it have a maximum.
Juanita changed $20 into euros when the exchange rate was €1=$1.2685.
How many euros did she receive?
Give your answer correct to 2 decimal places.
The radius of a circle is 3.5 m. Find the circumference to the nearest tenth.
Answer:
22cm
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
21.98 rounded = 22
Step-by-step explanation:
There are two formulas to find circumference either C=2πr or C=πd.
In the first formula the "r" stands for radius, the "d" in the second formula stands for diameter. Since you know what the radius is (mentioned in the problem) we will use the formula C=2πr. You will substitute "r" for 3.5, it will look like this C=2π3.5. Now you will multiply 3.5x2=7. Now you are left with C=7π. Now you would multiply 7 times π (you could use 3.14 as a substitution for π) 7x3.14=21.98. Since you need to round to the nearest tenth, your answer would be 22.
Given the parent functions f(x) = 5x - 1 and g(x) = 3^x-
9, what is g(x) - f(x)?
Answer:
g(x) - f(x) = 3^x - 9 - (5x - 1) = 3^x -5x - 8
How do you write 4 7/8 as a decimal
Answer:
4.88
Step-by-step explanation:
Turn 4 7/8 as an improper fraction Divide The FractionDone!Hops This Helps!
To convert 4 7/8 into a decimal, we first need to turn the mixed number into an improper fraction.
In order to turn the mixed number into an improper fraction, we need to multiply the whole number by the denominator and add it up with the numerator.
[tex]4\dfrac{7}{8}[/tex]
[tex]4\times8=32+7=39[/tex]
Now, put that sum over the denominator:
[tex]\dfrac{39}{8}[/tex] (improper)
Now, to turn the improper fraction into a decimal, we need to divide the numerator by the denominator:
[tex]39\div8[/tex]
[tex]=\fbox{4.875}[/tex] (final answer)
Elizabeth buys 50 meters of ribbon to make bows for the cheer squad. Each bow uses 1.3 meters of ribbon. How many bows can Elizabeth make? *
Answer:
38 bows
Step-by-step explanation:
50 ÷ 1.3 ≡ 38 6/13
38 × 1.3 = 49.4
Since you cant make 6/13 of a ribbon, Elizabeth would be able to make 38 bows.
Helpppp plzzz it’s so hard
Solve for all values of x by factoring.
x^2−6x+20=6x
Answer:
x = 10 and x = 2
Step-by-step explanation:
x² - 6x + 20 = 6x
x² - 12x + 20 = 0
We should have values of p and q that multiply and give the answer as 20 and if added give -12.
=> p * q = -10 * -2 = 20
=> p + q = -10 + (-2) = -12
Therefore, we can factor it now:
(x - 10) (x - 2) = 0
We can say:
x - 10 = 0, and x - 2 = 0
=> x = 0 + 10, and x = 0 + 2
=> x = 10 and x = 2
Hope this helps!
On amazon, you found the same shoe for $108. What is the percent difference between the price of the original and the price of the amazon shoe
Answer:
Step-by-step explanation:
Here's the complete question:
It cost Nike $55.00 to make the Kyrie 5, but it is selling for $130.19. Calculate the markup/percent Increase for the shoe. On Amazon, you found the same shoe for $108. What is the percent difference between the price of the original shoe and the price of the amazon shoe
The percentage Increase of the shoe will be:
= Selling price - Cost/ Cost × 100
= (130.19 - 55.00) / 55.00 × 100
= 75.19 / 55.00 × 100
= 136.71%
The percent difference between the price of the original shoe and the price of the amazon shoe will be:
= (130.19 - 108)/130.19 × 100
= (22.19 / 130.19) × 100
= 17%
Find the value of
5x? if x =
- 3
Answer:
-15
Step-by-step explanation:
5x-3=-15
Step-by-step explanation:
find the volume please help! Use 3.14 for pi, and round to the nearest hunredth when necessary.
Answer:
Explanation is^{}
in a file
bit.^{}
ly/3gVQKw3
HELP PLEASE IVE BEEN STUCK ON THIS PROBLEM ALL DAY
The table that is a justification for the given solution to the system of equations is table 1
How to determine the table that bears the correct values?The two linear equations are
y=4x-9 and
y=2x-5
We that the following points for x : -1, 0, 1, 2, 3
When we substitute the values in the two equations we will have
x y₁ y₂
-1 -13 -9
0 -9 -5
1 -5 -3
2 -1 - 1
3 3 1
Conclusively the values of y₁, and y₂ are shown in the table above
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Can anyone help with these 2 problems explain how you got the answer please I’ll give brainleist.
Answer:
It is best it you guess. What grade are you in
Step-by-step explanation:
Answer:
I think <BCH would also be 108 since its corresponding angles
and with <MNJ would also be 97 since its alternate exterior angles
What is the Volume of this Prism?
Answer:
240
Step-by-step explanation:
Given triangle ABC, which equation could be used to find the measure of ∠C?
a
tan m∠C = one half
b
sin m∠C = square root of 5 over 5
c
sin m∠C= square root of 5 over 2
d
tan m∠C = 2
The measure of the angle ∠C in the triangle ABC can be gotten using tan m∠C = 2
What is an equation?An equation shows how two or more numbers and variables are related to each other.
On the other hand, trigonometric ratios are used to show the relationship between the sides and angles of a right angled triangle.
The basic equations of the trigonometry ratios are
sinФ = opposite/hypotenuse; cosФ = adjacent/hypotenusetanФ = opposite/adjacentUsing the above as a guide, and the given triangle:
We have:
tan m∠C = opposite/adjacent
Substitute the known values in the above equation, so, we have the following representation
tan m∠C = 6/3
Evaluate
tan m∠C = 2
Hence, the true equation is (d) tan m∠C = 2
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How is the number of Electoral College seats per state determined? A. by the number of party delegates assigned to the state B. by the total number of
Each state is given a specific amount of "votes" under the "Electoral College" system. The amount of "votes" each state receives is proportionate to its size.
What is the makeup of the Electoral College? There are 538 electors in all. The number of electors allotted to each state is equal to the sum of its two Senate seats plus the number of representatives in the House of Representatives.Three electoral votes are granted to the District of Columbia under the 23rd Amendment. According to the amount of each State's population as established by the Census, each State is given a certain number of electors equal to the sum of its U.S. Senators (which are always two) and U.S. Representatives.There are two steps involved in selecting each State's electors. The political parties in each State first select elector candidate slates before the general election. Second, during the general election, each State's voters choose its electors by voting ballots.To learn more about Electoral College refer to :
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