This question is incomplete, the complete question is;
Suppose u and v are functions of x that are differentiable at x=0
and that { u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }
Find the values of the following derivatives at x = 0.
a) [tex]\frac{d}{dx}[/tex]( uv )
b) [tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )
c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )
Answer:
a) [tex]\frac{d}{dx}[/tex]( uv ) = -23
b) [tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = 33
c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32/49 or - 0.6531
Step-by-step explanation:
Given that;
{ u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }
a)
[tex]\frac{d}{dx}[/tex]( uv )
we differentiate
[tex]\frac{d}{dx}[/tex]( uv ) = uv' + vu'
at x = (0), we substitute our values
[tex]\frac{d}{dx}[/tex]( uv ) = ( 7 × -4 ) + ( -1 × -5)
[tex]\frac{d}{dx}[/tex]( uv ) = -28 + 5
[tex]\frac{d}{dx}[/tex]( uv ) = -23
b)
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )
we differentiate
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = ( vu' - uv' ) / v²
at x=0, we substitute our values
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = ( (-1 × -5) - (7 × -4 ) ) / (-1)²
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = (( 5 - ( -28 )) / 1
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = 33 / 1
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = 33
c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )
we differentiate
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( uv' - vu' ) / u²
at x=0, we substitute our values
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( (7 × -4) - (-1 × -4) ) / (7)²
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( -28 - ( 4 ) ) / 49
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( -28 - 4 ) /49
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32 / 49
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32/49 or - 0.6531
13/16 - 1/4.¿ using 5th grade work
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
Answer:
9/16
Step-by-step explanation:
1/4x4=4/16 13/16-4/16=9/16
Please help me will give brainlyest.
Answer:
x=24
Step-by-step explanation:
I think that its just a degree sign tbh
but because pc is a radius and so is pd their opposite angles are equal to each other.
so angle d and angle c are congruent
then because a triangles angles add up to equal 180 we do
180=x+54+x+54+x and solve for x
step 1 combine like terms x+x+x=3x 54+54=108
180=3x+108
step 2 subtract each side by 108
3x=72
step 3 divide each side by 3
x=24
hope this helps (:
Answer:
x = 36
Step-by-step explanation:
BD is a diameter.
<BCD is an inscribed angle whose sides intersect the endpoints of a diameter. Therefore m<BCD = 90.
m<BCD = x + 54 = 90
x + 54 = 90
x = 36
You invested $7000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $536, how much was invested at each rate?
Answer: $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.
Step-by-step explanation:
Let's break this down into simpler terms so you can understand.
You invested $7000 in a 7% and 8% account (always remember: the 'x' variable is always given to the biggest percentage)
Total of interest: 536 (this always goes at the end of the equation, after the equal sign)
Step 1: Let's set up the equation:
Here are how percents are written: (7% = 0.07, 8% = 0.08, other examples: 50% = 0.50)
0.08x + 0.07(7,000-x)=536
You're adding both because you want to see how much each account paid together.
Step 2: Distribute the 0.07 to everything in the parenthesis
0.08x + 0.07(7,000-x)=536
0.08x + 490 - 0.07x =536
Step 3: Combine like terms
0.08x + 490 - 0.07x =536
0.01x + 490 =536
Step 4: Continue combining like terms
0.01x + 490 =536
0.01x = 46
Step 5: Divide both sides by 0.01 to get the 'x' by itself
0.01x = 46
x = 4,600
This answer, x = 4,600, says to us that $4,600 was invested in the 8% account.
To find out how much was invested in the 7% account, just replace the x = 4,600 back into this part of the original equation: 7,000-x
7,000-x
7,000-4,600
2,400
So.. $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.
Solve for x: 1/2x + 3 = 9
Answer:
12
Step-by-step explanation:
Find the 3rd quartile of the date set:
72, 74, 76, 78, 82, 84, 87, 90, 91, 93, 99, 99, 100
Answer:
Answer:
101 102 108 156 1784 1267
The third quartile of the data set is 96.
Hope this helped! :)
As an estimation we are told 5 miles is 8 km.
Convert 45 miles to km.
Answer:
to get from 5 miles to 45 miles you multiply by 9 right so just times 8km by 9 which is 72 to get 45 miles into km.
Step-by-step explanation:
Answer:
72 km
Step-by-step explanation:
5m = 8km
÷5. ÷5
1m = 1.6km
×45. ×45
45m = 72km
La escalera de un carro de bomberos
puede extenderse hasta una longitud
máxima de 30 m cuando se levanta a un
ángulo máximo de 70°; la base de la
escalera se coloca en el camión a 2 m,
sobre el suelo.
¿Qué altura podrá alcanzar la escalera?
Answer:
sorry I cant understand--
Expand and simplify the following:
6x - 3(2x-1)
Answer:
3
Step-by-step explanation:
=6x-3(2x-1)
=6x-6x+3
=3 Answer
5x^2-9x-2=0
Will mark brainliest!
Answer:
x = 2 and x = -1/5
Step-by-step explanation:
Factors into (x-2)(5x+1) = 0 and you have your two values for x.
Or solve by quadratic formula [tex]x = \frac{-(-9) \pm \sqrt{9^{2} - 4(5)(-2)} }{2\cdot5} \\x = \frac{9 \pm 11}{10}.\\[/tex]
Two values, [tex]x = \frac{20}{10} = 2\\x = \frac{-2}{10} = -1/5[/tex]
Anna, Brianna and Caleb share some money in the ratio 5:3:7
Caleb receives £9.60 more than Brianna.
What was the total of the sum of money that was shared?
(3 punten)
Answer:
£36
Step-by-step explanation:
7-3=£9.60/4
4units=£9.60
1 u=£9.60÷4=£2.40
total units->5+3+7=15
15 units=15×£2.40=£36
What fraction of an hour is 4 minutes Simplest From
Answer: 1/15
Step-by-step explanation:
An hour is 60 minutes. Thus, simply do 60/4 to get 15, and that the fraction is 1/15.
Hope it helps <3 :)
Answer:
1/15
Step-by-step explanation:
1 hour = 60 minutes
[tex]\frac{4}{60}=\frac{1}{15}[/tex]
fill in the three answer below for the area of the composite shape
Answer:
A) 3 x 6 = 18 in^2
B) 11 x 8 x 0.5 = 44 in^2
C) 18 + 44 = 62 in^2
the square root of the sum of twice a number and 3 is 6. find the number
Answer in fraction form = 33/2
Answer in decimal form = 16.5
===========================================================
Work Shown:
n = some number
2n = twice that number
2n+3 = "sum of twice a number and 3"
[tex]\sqrt{2n+3}[/tex] = square root of the previous expression
The equation we need to solve is [tex]\sqrt{2n+3} = 6[/tex]
We'll follow PEMDAS in reverse, undoing each operation, to isolate n
[tex]\sqrt{2n+3} = 6\\\\\left(\sqrt{2n+3}\right)^2 = 6^2 \ \ \text{ ... square both sides}\\\\2n+3 = 36\\\\2n+3-3 = 36-3 \ \ \text{ ... subtract 3 from both sides}\\\\2n = 33\\\\\frac{2n}{2}=\frac{33}{2} \ \ \text{ ... divide both sides by 2}\\\\n = \frac{33}{2}\\\\n = 16.5[/tex]
Answer:
[tex]\frac{33}{2}[/tex]
Step-by-step explanation:
In the problem, "The square root of the sum of twice a number and 3 is 6" can be converted to an equation that looks like this:
Let x be the number:
[tex]\sqrt{2x+3 = 6 }[/tex]
In order to solve the problem:
[tex]\sqrt{2x+3}^2=6^2[/tex]
By squaring both sides to remove the exponent:
[tex]{2x + 3 = 36}[/tex]
Simplify:
[tex]{2x+3-3=36-3}[/tex]
Subtract 3 from both sides:
[tex]{2x = 33 }[/tex]
Then Simplifying further:
[tex]\frac{2x}{2} = \frac{33}{2}[/tex]
Divide both sides by 2 to remove 2 from the x.
[tex]{x = \frac{33}{2} }[/tex]
Thus, meaning the answer is [tex]\frac{33}{2}[/tex]
Hope this helps you.
pleaseeeee help ill give brainliest answerrrrr
Answer:
A= 360
Step-by-step explanation:
360
Jackson’s puppy eats 24 ounces of feed every day an object with a weight of 1 ounce has a mass that is approximately equal to 28.3 grams
Which measurement is closest to the number of grams of foods Jackson’s puppy eats every day
Answer:
8
Step-by-step explanation:
bc hdibdjs
A school paid 31.50 for each calculator
If the school bought x calculators, how much did
they pay? Write an expression.
Janet, an experienced shipping clerk, can fill a certain order in 7 hours. Jim, a new clerk, needs 9 hours to do the same job.
Working together, how long will it take them to fill the order?
Answer:
zhdhsgscsisgege8djdhshsyw7273yeh3737eyd
5
An athlete covers three consecutive miles by walking the first mile, running the second mile
and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as
ast as he runs. He takes ten minutes longer than he would do if he cycled the three miles,
How long does he take by walking, running and cycling?
ter your math answer
Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As [tex]Time = \frac{Distance }{Speed}[/tex]
⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running = [tex]\frac{1}{2x}[/tex]
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling = [tex]\frac{3}{2}[/tex] (2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling = [tex]\frac{1}{3x}[/tex]
Now,
Total time traveled = Time traveled by walking + running + cycling
= [tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]
= [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]
If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 = [tex]\frac{11}{6} x[/tex]
⇒[tex]x - \frac{11}{6} x = -10[/tex]
⇒[tex]-\frac{5}{6}x = -10[/tex]
⇒x = [tex]\frac{60}{5}[/tex] = 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min
-30 < x/-4. Solve for x
Answer:
-30 < x/-4
Above equation multiply by minus sign(-) so that sign of inequality is change from < to >
Above equation becomes
30 > x/4
30*4 > x
120 > x
Hence x is less than 120
Dr. Ballard refers to Earth as a ‘living breathing creature’- do you think he meant for us to take this literally?
Answer:
I don't think so.
Step-by-step explanation: I think he just wanted us not to take advantage of earth and treat earth like a living creature
A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50. Assume the distribution of hourly wages follows the normal probability dis- tribution. If we select a crew member at random, what is the probability the crew member earns: a. Between $20.50 and $24.00 per hour
Answer:
0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50.
This means that [tex]\mu = 20.5, \sigma = 3.5[/tex]
a. Between $20.50 and $24.00 per hour
This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 20.5. So
X = 24
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 20.5}{3.5}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 20.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20.5 - 20.5}{3.5}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
0.8413 - 0.5 = 0.3413
0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour
Find the area of the shaded part of the trapezoid.
Step-by-step explanation:
All you have to do is to multiply the length times width times height to get the area. So its 6 x 20 x q1/4 ft = 30q. Hope this helps.
Find the area occupied by a triangular window of length 45 cm and height 50
cm.
Answer:
In a triangular window there is length and breadth???
Write an equation that relates the number of peppers, n, and the
cost, C.
Complete Question:
The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the cost, C.
Answer:
[tex]C = 0.45n[/tex]
Step-by-step explanation:
Given
[tex]5\ peppers = \$2.25[/tex]
Required
Determine the relationship between C and n
[tex]5\ peppers = \$2.25[/tex]
Divide both sides by 5, to get the cost of 1 pepper
[tex]\frac{5\ peppers}{5} = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \$0.45[/tex]
Multiply both sides by n to get the cost of n pepper
[tex]n*1\ pepper = \$0.45*n[/tex]
[tex]n\ pepper = \$0.45n[/tex]
So, we have:
[tex]C = 0.45n[/tex]
23h^3-46h^2-48+24h pls help
Answer:
(h−2)(23h^2 +24)
Step-by-step explanation:
23h
3
−46h
2
−48+24h
Do the grouping 23h
3
−46h
2
−48+24h=(23h
3
−46h
2
)+(−48+24h), and factor out 23h
2
in the first and 24 in the second group.
23h
2
(h−2)+24(h−2)
Factor out common term h−2 by using distributive property. Polynomial 23h
2
+24 is not factored since it does not have any rational roots.
(h−2)(23h
2
+24)
The trip from Manhattan to Montauk Point is 120 miles by train or by car. A train makes the trip in 2 hours, while a car makes the trip in 2.5 hours. How much faster in miles per hour, is the average speed of the train than the average speed of the car?
Answer:
30mph faster
Step-by-step explanation:
first you must find how fast the train can go in 1 hour
that is 60mph, then multiply 60 and 2.5
60x2.5 = 150mph then,
150 - 120 =30mph
very sorry if this is wrong
The average speed of the train is 1.25 times the average speed of the car.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
The excursion from Manhattan to Montauk Point is 120 miles via train or via vehicle. A train makes the outing in 2 hours, while a vehicle makes the excursion in 2.5 hours.
The average speed of the train is given as,
⇒ 120 / 2
⇒ 60 miles per hour
The average speed of the car is given as,
⇒ 120 / 2.5
⇒ 48 miles per hour
The ratio of the average speed of the train to the car will be given as,
⇒ 60/48
⇒ 1.25
The average speed of the train is 1.25 times the average speed of the car.
More about the speed link is given below.
https://brainly.com/question/7359669
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Show mathematically why the ratio 15:10 is not equal to 10:15
Answer:
Hello here is my answer
Step-by-step explanation:
The 2 ratios are 15:10 and 10:15
multiply the numbers of the first ratio with the last number if the second ratio, which means,
15*15=225
10*15=150
we get 225:150
now we multiply the numbers of the second ratio with the last number if the first ratio.which means,
10*10=100
15*10= 150
now compare bot of them
225:150::100:150
we see that 225:150>100:150
hence proven that 15:10 is not equal to 10:15
f x = 8 units, y = 2 units, and h = 14 units, find the area of the parallelogram shown above using decomposition. A. 168 square units B. 140 square units C. 84 square units D. 112 square units
Answer:
112
Step-by-step explanation:
The area of the parallelogram is A = 140 units²
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the area of the parallelogram be represented as A
Now , the value of A is
Let the height of the parallelogram be h = 14 units
And , base of the parallelogram b = x + y = 10 units
So , A = b x h
On simplifying , we get
The area of parallelogram A = 10 x 14 = 140 units²
Therefore , the value of A is 140 units²
Hence , the area of the parallelogram is 140 units²
To learn more about parallelogram click :
https://brainly.com/question/23488153
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what are the powers of 3 through 1000? AND DONT JUST SAY A FEW I NEED ALL OF THEM
Answer:
1, 3, 9, 27, 81, 243, 729
Step-by-step explanation:
The powers of 3 are:
[tex]3^0 = 1[/tex]
[tex]3^1 = 3[/tex]
[tex]3^2 = 9[/tex]
[tex]3^3 = 27[/tex]
[tex]3^4 = 81[/tex]
[tex]3^5 = 243[/tex]
[tex]3^6 = 729[/tex]
[tex]3^7 = 2187[/tex]
And so on...
So through 1000: 1, 3, 9, 27, 81, 243, 729
Akris has a Quilted Calfskin bag on their website for this season in the shape of a trapezoid. Ms. Johnson called the company to get the dimension to use as a project for her math students. Based on the dimensions below, what is the area of trapezoid shaped purse?
Answer:
parralelagram
Step-by-step explanation: