Answer:
3 cm on the map represents 31.5 km in reality.
3cm : 31.5 km
1cm : 31.5/3 km
1cm : 10.5km
So the scale on the map is 1cm represents 10.5 km.
Find the solution of the differential equation that satisfies the given initial condition. x ln(x) = y 1 + 8 + y2 y', y(1) = 1.
Answer:
[tex]\mathbf{((lnx)(2x^2)) -x^2 +39 =(2y^2 +(\dfrac{4}{3})(8+y^2)^{3/2})}[/tex]
Step-by-step explanation:
Given that:
[tex]x In(x) = y( 1+ \sqrt{8+ y^2}) \ } \ \dfrac{dy}{dx}[/tex]
[tex]xln(x) *dx= (y+y \sqrt{(8+y^2}) \ dy[/tex]
[tex]\int xln(x) dx = \int(y+y\sqrt{(8+y^2})) \ dy[/tex]
[tex]\int lnx (x)dx =(\dfrac{y^2}{2} +\dfrac{1}{3}(8+y^2^{)3/2})[/tex]
[tex](lnx \dfrac{x^2}{2})-\int((\dfrac{x^2}{2})\times \dfrac{1}{x} =(\dfrac{y^2}{2} +\dfrac{1}{3}(8+y^2)^{3/2})[/tex]
[tex]((lnx)(\dfrac{x^2}{2}))-\int(\dfrac{x}{2}) =(\dfrac{y^2}{2} +(\dfrac{1}{3})(8+y^2)^{3/2})[/tex]
[tex]((lnx)(\dfrac{x^2}{2}))-(\dfrac{x^2}{4}) +C= (\dfrac{y^2}{2 }+(\dfrac{1}{3})(8+y^2)^{3/2})[/tex]
For y(1) = 1
[tex]((ln(1))(\dfrac{1^2}{2}))-(\dfrac{1^2}{4}) +C= (\dfrac{1^2}{2 }+(\dfrac{1}{3})(8+1^2)^{3/2})[/tex]
[tex](0)-(\dfrac{1}{4}) +C =(\dfrac{1}{2} +(\dfrac{1}{3})(3)^3)[/tex]
[tex]C=(\dfrac{19}{2}) +(\dfrac{1}{4})[/tex]
[tex]C=\dfrac{39}{4}[/tex]
[tex]((lnx)(\dfrac{x^2}{2}))-(\dfrac{x^2}{4}) +(\dfrac{39}{4}) = (\dfrac{y^2}{2} +(\dfrac{1}{3})(8+y^2)^{3/2})[/tex]
[tex]\mathbf{((lnx)(2x^2)) -x^2 +39 =(2y^2 +(\dfrac{4}{3})(8+y^2)^{3/2})}[/tex]
help in like 2 mins pls!! 9+-6/-3
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
) Nadia wants to draw a scale diagram of the garden. The garden is rectangular and measures 1350 cm by 1000 cm Nadia says, “If I use a scale of 1 cm to 50 cm, the drawing will fit on a piece of A4 paper”. A4 paper measures 297 mm by 210 mm Is Nadia correct? Explain how you decide
Answer:
Nadia is correctStep-by-step explanation:
Dimensions of the diagram:
Length ⇒ 1350/50 = 27 cmWidth ⇒ 1000/50 = 20 cmNadia is correct as the diagram of 27 cm × 20 cm will fit in A4 paper
I can take medication that is prescribed to my parents because it is family.
True
False
Answer:
False
Step-by-step explanation:
Because it is your family, does not mean you should still take it. Yes genes are transmittable and inheritable, but that doesnt mean medication should be shared unless its a guarantee for the same issue. The answer if False.
Given sec A= and that angle A is in Quadrant I, find the exact value of csc A in
simplest radical form using a rational denominator.
Need help :(
The required value is [tex]\csc A=\dfrac{5}{4}[/tex].
Important information:
[tex]\sec A=\dfrac{5}{3}[/tex]Angle A is in Quadrant I.We need to find the exact value of csc A.
Trigonometric Ratios:Formulae used: If angle A is in Quadrant I.
[tex]\cos A=\dfrac{1}{\sec A}[/tex]
[tex]\sin A=\sqrt{1-\cos^2 A}[/tex]
[tex]\csc A=\dfrac{1}{\sin A}[/tex]
Using these formulae, we get
[tex]\cos A=\dfrac{3}{5}[/tex]
And,
[tex]\sin A=\sqrt{1-\left(\dfrac{3}{5}\right)^2}[/tex]
[tex]\sin A=\sqrt{1-\dfrac{9}{25}}[/tex]
[tex]\sin A=\sqrt{\dfrac{16}{25}}[/tex]
[tex]\sin A=\dfrac{4}{5}[/tex]
Now,
[tex]\csc A=\dfrac{1}{\sin A}[/tex]
[tex]\csc A=\dfrac{1}{\frac{4}{5}}[/tex]
[tex]\csc A=\dfrac{5}{4}[/tex]
Thus, the required value is [tex]\csc A=\dfrac{5}{4}[/tex].
Find out more about 'Trigonometric Ratios' here:
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The required value of cscA is 1.25
Given,
[tex]secA=\frac{5}{3}[/tex]
Trigonometrical ratios:
In the first quadrant, all ratios are positives.
[tex]sin A=\frac{P}{H}[/tex]
And the value of hypotenuse is,
[tex]P=\sqrt{H^2-B^2} \\=\sqrt{5^2-3^2} \\=\sqrt{16}\\ P=4[/tex]
So, the sine A is,
[tex]sinA=\frac{P}{H}\\ =\frac{4}{5}[/tex]
So, the rational denominator is,
[tex]cscA=\frac{H}{P}\\ =\frac{5}{4}\\=1.25[/tex]
Learn More about Trigonometrical ratios:
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Kala, Chau, and Deshaun have a total of $68 in their wallets. Deshaun has 2 times what kala has. Kala has $8 less than Chau. How much do they
have in their wallets?
Amount in Kala's wallet:$
Amount in Chau's wallet:$
Amount in Deshaun's wallet:$
Can someone please help me with this math problem I don’t understand it
Answer:
i need points
Step-by-step explanation:
i need points ,, hope you find your answer
HELP!! i need to turn it in ASAP!!
Answer:
first one
Step-by-step explanation:
How many kilometers are in 2 miles? 1.24 km 3.21 km 0.80 km
Answer:
3.21869 km
Step-by-step explanation:
select the equation that represents the problem. Let × represent the unknown number.
Ms. Weaver bought 216 pencils for her class. The pencils came in packs of 24. How many packs did she buy?
A. 216× = 24
B. 216 - × = 24
C. × + 24 = 216
D. 24× = 216
Answer:
the is option d cause big number is divided by small ones.
Step-by-step explanation:
hope it's right
$100 is borrowed at 9% interest per year. How much is owed after one year if interest is compounded :
a. annually?
b. monthly?
c. continuously?
Answer:
Step-by-step explanation:
a). Formula to be used,
A = P(1 + i)ⁿ
= 100(1 + 0.09)¹
= $109
b). Formula to be used,
A = [tex]P(1+\frac{i}{12})^{12n}[/tex]
= [tex]100(1+\frac{0.09}{12})^{12\times 1}[/tex]
= [tex]100(1+0.0075)^{12}[/tex]
= 100 × 1.0938
= $109.38
(c). Formula to be used,
A = [tex]Pe^{i\times n}[/tex]
= [tex]100e^{1\times 0.09}[/tex]
= [tex]100(e)^{0.09}[/tex]
= $109.42
Callista needs a carpet runner for her hallway. She needs it to be 1 1/2 feet wide and 4 feet long. What is the area of the carpet runner Callista needs?
Answer: 6 square feet
Step-by-step explanation: We simply need to do 1.5 x 4! This shows that the area of the carpet runner is 6 square feet.
Hope this helps :)
A bakery is making apple pies and carrot cakes. Each
apple pie nets $5 profit. For each carrot cake, they
make $10 profit. Each pie take 4 hours to prepare and
1.5 hours to bake. The carrot cakes take 0.5 hours to
prepare and 0.5 hours to bake. The maximum
preparation time is 20 hours. The maximum baking
time is 10 hours. How many pies and cakes should be
made to maximize profits?
Answer:
8 thats how many pies and cakes you can do
Step-by-step explanation:
you have 20 minutes and 10 and the most cakes you can get with left over is 8
The pies and cakes should be made to maximize profits is 8 pies.
What is profit?Profit is defined as the sum of revenue and income after all costs have been deducted by a business. A function with a business-oriented focus is called a profit function. The main goal of a business is to generate income through the sale of goods and services, minus the costs associated with producing those goods and services, in order to turn a profit.
Revenue minus costs equals profit.
Costs comprise both variable costs and fixed costs, whereas revenue is the total amount of positive cash flow that a business generates.
The maximum number of cakes you can get with leftovers in 20 minutes and 10 is 8.
Thus, the pies and cakes should be made to maximize profits is 8 pies.
To learn more about profit, refer to the link below:
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You and your friend play an arcade game. You score 5 points for every 9 points that your friend scores. You score 320 points less than your friend. How many points do you each score?
Answer:
400 ; 720
Step-by-step explanation:
Given that :
My score = 5 point for every 9 points scored by my friend ; hence my score is always 4 points less than my friend's score.
Let number of shot = x
Also my score x is 320 less than my friend's score
Hence after x shots
My score = friend's score - 320
5x = 9x - 320
5x - 9x = - 320
-4x = - 320
x = 80
Hence ;
My score = 5x = 5* 80 = 400
My &friend's score = 9 * 80 = 720
In 1923, a certain country underwent one of the worst periods in history of hyperinflation, which is extraordinarily large inflation in prices. At the peak of the hyperinflation, prices rose 11,000% per month. At this rate, by what percentage would prices have risen in 1 year? In 1 day? (Assume 30 days per month.)
The annual inflation rate is ___ x 10 ^ ___%
(Type whole numbers.)
The daily inflation rate is ___ %.
(Round to the nearest whole number as needed.)
Answer: 3.498 * 10^26 % ; 16.9% per day
Step-by-step explanation:
Inflation rate = 11,000 per month
Hence, price after a month :
Final price = initial price (1 + rate)
Final price = 1 + 11000/100
Final price = (1 + 110) * initial price
Final price = 111 times the initial price
Hence inflation over the 12 month period :
(111)^12 = 3.498 * 10^24
(3.498 * 10^24) * 100% = 3.498 * 10^26 %
The daily inflation rate :
Number of days = 30
30th root of 3.498 * 10^24 = 1.169
(1.169 - 1) = 0.169
0.169 * 100% = 16.9% per day
Movie tickets cost $9.95 for adults and $6.75 for students. The Ryder family buys 2 adult tickets, 3 student tickets, and then popcorn and drinks for $26. What is the total amount that they spend?
Answer:
$66.15
Step-by-step explanation:
(9.95x2)+(6.75x3)+26=66.15
Answer:
The Answer is 66.15 By the person above
can any one help me with this please ?this is worth 82 points
Answer:
1. YZX
2. XYZ
3. ZXY
4. EDF
5. MLN
6. FED
7. DFE
8. MNL
9. LMN
1 was flipped (reflected).
2 was slid (translated).
3 was slid (translated).
4 was rotated 180 degrees clockwise.
5 was flipped and rotated.
6 was flipped and rotated.
7, 8, 9 were translated.
what are the missing angles?
A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 12% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 50 cans?
Answer:
6 cans will be defective
Step-by-step explanation:
do 50x0.12
Which is an equation of a line with undefined slope?
Answer:
Any constant that is set to equal x would have an undefined slope. For example, x=0 is just a horizontal line, so the slope is undefined.
Step-by-step explanation:
The slope would be undefined because in a horizontal line, the length could be anything, but there is no distance between x-values.
Answer:
X=0
Step-by-step explanation:
please help me asap
Answer:
answer is c
Step-by-step explanation:
What is the five number summary for this data set?
2,7, 15, 19, 26, 33, 39, 41, 49, 52
Assume the numbers in each answer choice are listed in this order: min, Q1,
median, Q3, max.
O A 2,19,29.5, 39, 52
B. 2, 19, 36, 39, 52
C. 2,15,29.5, 41,52
OD 2, 15, 36, 41,52
Answer: a p e x 2, 15, 29.5, 41, 52
Step-by-step explanation:
If log a=x and log b=y what is log a√b
help!!!! It’s missing and I forgot to do but I need the answers 1-4 thank you so much your a life saver
Every month Tanesha pays a fixed fee of $10 to use the parking lot at her workplace. She must also pays $2 each day that she parks her car in the lot. If she parks there x days in one month, which of the following represents the amount in dollars that she must pay for using the parking lot that month?
The equation that represents the amount in dollars that she must pay for using the parking lot that month is y = 2x +10, the correct option is B.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The amount Tanesha pays to use the parking lot is $10
The daily amount she pays to use the parking is $2
Let x represents the days in one month.
Let y represents the amount in dollars that she must pay for using the parking lot that month.
The unknown parameters are x and y
The equation that can be formed is
y = 2x +10
It seems that your question is incomplete, the complete question is as follows:
A . y = 2x
B. y = 2x +10
C. y = 10x +2
D. y = 10x
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The Garcia family bought 400 yards of fencing to enclose wildflower garden. They will use all of the fencing . What is the area enclosed by the fence?
Answer:
circumference = pi*diameter
400 = 3.14 * d
d = 400 / 3.14
d = 127.4 yards
Determine if the number is a negative or positive integer. Dived 28 ft below sea level. *
Answer:
Its BELOW sea level
Step-by-step explanation:
Please help me ASAP
How many pavers are needed to cover the patio?
Answer:
270
Step-by-step explanation:
✔️Area of the Patio = bh
b = 12 ft = 144 in.
h = 10 ft = 120 in.
Area of Patio = 144*120 = 17,280 in.²
✔️Area of Brick Paver = bh
b = 8 in
h = 8 in
Area of the Brick Paver = 8*8 = 64 in.²
The number of quaver needed to cover the Patio = area of Patio ÷ area of one brick quaver
= 17,280/64 = 270
hellllppp please help me
Answer:
[tex]F' = (-3,-3)[/tex]
[tex]G' = (-3,3)[/tex]
[tex]H' = (6,-3)[/tex]
Step-by-step explanation:
Given
The attached graph
[tex]Scale\ Factor = 1\frac{1}{2}[/tex]
Required
Determine the coordinates of F'G'H'
First, we need to get the coordinate of F, G and H from the graph
[tex]F = (-2,-2)[/tex]
[tex]G = (-2,2)[/tex]
[tex]H = (4,-2)[/tex]
The dilated coordinate is then calculated as:
[tex](FGH)' = (FGH) * Scale\ Factor[/tex]
This gives:
[tex]F' = (-2,-2) * 1\frac{1}{2}[/tex]
[tex]F' = (-2* 1\frac{1}{2},-2* 1\frac{1}{2})[/tex]
[tex]F' = (-3,-3)[/tex]
[tex]G' = (-2,2) * 1\frac{1}{2}[/tex]
[tex]G' = (-2 * 1\frac{1}{2},2 * 1\frac{1}{2})[/tex]
[tex]G' = (-3,3)[/tex]
[tex]H' = (4,-2) * 1\frac{1}{2}[/tex]
[tex]H' = (4 * 1\frac{1}{2},-2 * 1\frac{1}{2})[/tex]
[tex]H' = (6,-3)[/tex]
As an estimation we are told 5 miles is 8km Convert 4 km to miles
Answer: 2.5
Step-by-step explanation:
For this problem, we see that 4km is 1/2 of 8km.
So, we will have to find 1/2 of 5km.
1/2 of 5km = 2.5km
Your answer is 2.5km
Answer:
2.48548 Miles or simplified 2.5
Step-by-step explanation:
You Divide by 1.609 to find the answer.