Answer:
Given the reference to the chain rule, I assuming by "calculate", you mean "take the derivative of", in which case we have:
For the first function:
[tex]y = (2u^2 + 3)^{\frac{1}{3}}\\\\\frac{dy}{du} = \frac{1}{3}(2u^2 + 3)^\frac{-2}{3}(4u)\\\\\frac{dy}{du} = \frac{4u}{3}(2u^2 + 3)^\frac{-2}{3}\\\\\frac{dy}{du} = \frac{4u}{3(2u^2 + 3)^\frac{2}{3}}[/tex]
and for the second one:
[tex]u = \sqrt{2x + 1}\\\\u = (2x + 1)^{0.5}\\\\\frac{du}{dx} = 0.5(2x + 1)^{-0.5}(2)\\\\\frac{du}{dx} = \frac{1}{\sqrt{2x + 1}}[/tex]
Will give brainliest
In terms of x, find an expression that represent the area of the shaded region . The outer square has side lengths of x+5 and the inner square has side lengths of x-2 .
*image*
Area: ______ square units
Answer:
the expression to find the shaded region : 14x+21
Step-by-step explanation:
(x+5)² - (x-2)² solve by distribution
7(2x+3)
14x+21
Answer:
14x+21
Step-by-step explanation:
(x+5)² - (x-2)²
7(2x+3)
14x+21
10.6 as a fraction please answer
Answer:
10 6/10
Step-by-step explanation:
since the 6 is in the tenths place we know the denomiter is going to be 10. The 10 infront of the 6 is a whole number
Which postulate, if any, make the triangle congruent.??
Please help
Answer:
SAS postulate
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Priess dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Answer:
She originally bought either 20 or 32 shares
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Let the number of shares she bought be represented by 1600/x
This is calculated as:
1600/x = 1120/x + 10 + 4
Multiply through by (x)(x - 10)
1600(x-10) = 1120(x) + 4(x)(x - 10)
1600x - 16000 = 1120x + 4x² - 40x
Collect like terms
4x² + 1120x - 1600x - 40x +16000 = 0
4x² - 520x + 16000 = 0
Using the Almighty formula method
= -b ± √b²- 4ac/2a
a = 4, b = -520 , c = 16,000
Hence:
= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4
= 520 ± √14400/8
= 520 ± 120/8
520 - 120/8
= 400/8
= 50
520 ± 120/8
= 520 + 120/8
= 640/8
= 80
Since we have:
1600/x
When x = 50
= 1600/50
= 32
When x = 80
= 1600/80
= 20
Therefore, she originally bought either 20 or 32 shares
HELP ME WORTH 100 POINTS AND BRAINLIST IF RIGHT
Answer:
Id say 60 since its gonna have to be lower than 90. A I did no math but that seems to be here the answer
Step-by-step explanation:
the answer to your question is A. 60
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3
I need help with this quick question. PLS
Step-by-step explanation:
please sorry to barge into your question without any reasonable answer all I want to say is that this is a graph and I think that the domain and range this is increasing to calculate like the unit for example you have - 9 and - 3 you should calculate how many units are between -9 and -2 I'm not sure and I just really need marks now point where I can get on with my procedure so sorry for just barging in like that I'm so sorry
9514 1404 393
Answer:
x < -5
Step-by-step explanation:
The function is increasing where its slope is positive. That is where each point is higher than the one to its left. You see that is the case for all points to the left of the vertex, which is at x=-5.
The domain where the function is increasing is x < -5.
_____
Additional comment
At the vertex, the function is horizontal, neither increasing nor decreasing. So, the vertex itself is not included in the domains of increase or decrease.
HELPP!!!!
Solving for the Missing Variable
Ex. 1 Determine the range of possible values of x,
9514 1404 393
Answer:
21 ≤ x < 48.3343
19.4030 < t ≤ 62 1/3
Step-by-step explanation:
This sort of geometry has shown up in a number of different problems. Perhaps the most difficult was one in which the angles were given a specific linear relationship. Here, one of the angles is fixed, making the problem somewhat simpler.
The most straightforward approach is to simply say the unknown angle must lie between 0° and 180°. It turns out that is not the possible range of values. Rather there is a limit on the unknown angle. It will have an extreme value when both triangles are isosceles. The lengths of the equal sides in that case can be determined using the triangle with both angle and base length specified.
__
a) For the triangle to be isosceles (MA = MH = MY), the side lengths must satisfy ...
AM·sin(62°/2) = 7.1/2
AM = 3.55/sin(31°) ≈ 6.89269
At that point, angle HMY will satisfy ...
AM = (6.33/2)/sin((2x -42)°/2)
3.55/sin(31°) = 3.165/sin(x-21°)
(x -21)° = arcsin(3.165/3.55·sin(31°)) ≈ 27.3343°
x = 48.3343
Because angle HMY can be smaller than this value, its minimum is 0:
2x -42 = 0
x -21 = 0
x = 21
That is, x can range between 21 and 48.3343.
__
b) Using similar logic on the other triangles, we find the unknown angle has an extreme value when the triangles are isosceles: CA = CB = CD = CD. As above, this will occur when ...
(3t -7)° = 2·arcsin(17/16·sin(24°)) ≈ 51.2091°
t = 19.4030
In this geometry, because AB > DE, the angle can only get larger than 51.2091°. Its upper limit is 180°, meaning that ...
3t -7 ≤ 180
3t ≤ 187
t ≤ 62 1/3
In this geometry, the value of t can range between 19.4030 and 62 1/3.
_____
Additional comment
As we said at the beginning, your computer may be expecting you to come up with an answer that makes the unknown angle lie between 0 and 180°. For that range of angles, you have ...
0 ≤ 2x-42 ≤ 180 ⇒ 0 ≤ x -21 ≤ 90 ⇒ 21 ≤ x ≤ 111
0 ≤ 3t -7 ≤ 180 ⇒ 0 ≤ t -7/3 ≤ 60 ⇒ 7/3 ≤ t ≤ 187/3
Jason has a container holding 11.5 quarts of liquid. If he want to find enough containers to hold 13 times this amount of liquid, how many quarts of liquid will the containers need to hold?
Answer: 149.5 quarts
Step-by-step explanation:
From the question, we are informed that Jason has a container holding 11.5 quarts of liquid and that he wants to find enough containers to hold 13 times this amount of liquid.
The number of quarts of liquid that the containers need to hold will be:
= 13 × 11.5
= 149.5 quarts
Your answer
will give brainly to second person who answers this
Answer:
What
Step-by-step explanation:
‘Saturn' chocolate bars are packed either in boxes of 5 or boxes of 12. What is the smallest number of full boxes required to pack exactly 2005 ‘Saturn' bars?
Answer:
167
Step-by-step explanation:
Given that :
Saturn chocolate bars are either packed in 5's or 12's
The smallest number of boxes required to pack 2005 bars ;
In other to arrive at smallest number of boxes, then we need to pack primarily in 12's
Number of boxes required for 12 packing :
2005 /12 = 167.08333 boxes (167, remainder 1)
Hence, smallest number of boxes to pack 2005 saturn chocolate bars is 167
WEEEEEEEEEEEEEEEEEEEEEEE
Answer:
a^7/8^2
Step-by-step explanation:
Here, we want to write the expression using only positive exponents
An important rule for indices to use here is that;
a^-b = 1/a^b
thus;
8^-2 = 1/8^2
So we have;
1/8^2 * a^7
= a^7/8^2
System OT
W + b =13
6.5w + 2b = 57.5
Answer: w = 7, x = 6
Step-by-step explanation: Solve by substitution
W + b = 13
rewrite as b = 13 - w and substitute that value for b in the second equation
6.5w + 2b = 57.5 Then solve for w
6.5w + 2(13-w) = 57.5 . Distribute
6.5w + 26 - 2w = 57.5 . Subtract 26 from both sides. Combine like terms and simplify
6.5w - 2w = 57.5 - 26
4.5w = 31.5 Divide both sides by 4.65
w = 7 . Substitute 7 for w in the first equation and solve for b
7 + b = 13 . Subtract 7 from both sides
b = 6
Please Help! I will give brainliest
Answer:
-6.3n + 8.6
Step-by-step explanation:
you add the terms together
Answer: -6.3n + 8.6
Step-by-step explanation:
What is the explicit formula for this sequence?
5, 2, -1, -4, ...
O A. an= -5+ (n - 1)(-3)
B. an = 5+ (n - 1)(3)
C. an= -3+ (n - 115
O D. a, = 5 + (n - 1)(-3)
Answer:
C. an= -3+ (n - 115)
Step-by-step explanation:
hope it help
estimate the value of
[tex] \frac{ \sqrt{2\pi} }{ \sqrt{5} } [/tex]
Graph y = 2x - 7
Im doing this on Khan and I always get it wrong
Answer:
Use points (0,-7) and (1,-5)
please see below if you would like a graph.
Step-by-step explanation:
The equation is y=2x-7
we need two points.
The equation is in y=mx+b form, where m is the slope and b is the y intercept
In that case we already know a point, since -7 is in the place of b. The y intercept as a point is (0,b). Therefore, our first point is (0,-7)
We also know the slope of the line, which is 2. The formula for slope is rise/run That means that the next point would be to go right one, and up 2, (both indicate a positive direction), or to the left one, and down 2(both indicate a negative direction.) Let's use the positive way.
going to the right 1=+1 on x. (1, y)
Going up 2=+2=-7+2=-5
Point is (1,-5)
use points (0,-7), and (1,-5)
please see below for a graph to compare.
hope this helps!
I’ll give the Brainliest to who answers these questions with reasonable explanations.
1. A car stereo is on sale for $250 from its original $273 cost. What is the percent of the discount?
A. 84%
B. 92%
C. 9.2%
D. 8.4%
————————————————————————————————————————————————————————
2. The Universal Sports Company purchases weight racks directly from the manufacturer for $46 each. The weight racks are marked up 210% of the wholesale cost and sold. What is the amount of mark-up of each weight rack?
A. $1012
B. $966
C. $96.60
D. $142.60
————————————————————————————————————————————————————————
3. A television set that has an original price of $325.50 is on sale for 30% off. What is the selling price of the television?
A. $423.15
B. $97.65
C. $325.50
D. $227.85
————————————————————————————————————————————————————————
4. The Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce. The mark-up rate is 75% of the cost to produce. What is the retail price?
A. $280
B. $490
C. $770
D. $210
Thanks for the help!
Answer:
[tex]\mathrm{1.\:D.\:8.4\%}\\\mathrm{2.\:C.\: \$96.60}\\\mathrm{3.\:D.\: \$227.85}\\\mathrm{4.\:B.\:\$490}[/tex]
Step-by-step explanation:
1. The car's initial price was $273. Since the sale price is $250, the car is on a [tex]273-250=\$23[/tex] discount. The percent of discount is the discount price over the initial price:
[tex]\frac{23}{273}\approx \fbox{$8.4\%$}[/tex].
2. Since the weight racks were initially priced $46, then marked up 210%, their mark-up is:
[tex]46\cdot2.1=\fbox{$\$96.60$}[/tex]
*Worth noting that this is the mark-up (as the question is asking), not the total price after the mark-up.
3. The TV's initial price is $325.50. If it's on sale for 30%, it's final price will be [tex]100\%-30\%=70\%[/tex] of the initial price:
[tex]\$325.50\cdot 0.7=\fbox{$\$227.85$}[/tex]
4. The final retail price will be the initial price + the mark-up:
[tex]280+280(0.75)=\fbox{$\$490$}[/tex].
Find the value of the expression
qXS+r
for q = 2, r = 9, and s = 5.
Submit
Answer:
19
Step-by-step explanation:
Substitute the values and use the order of operations to find the correct value.
q · s + r
2 · 5 + 9
10 + 9
19
Plz I need help on this what is the unit cost in this question?
THE UNIT IS DOLLAR ($).
Step-by-step explanation:
BECAUSE IT IS GIVEN IN TOTAL COST
The model includes a new park in the center of the city. If the dimensions of the
park in the model are 9 inches by 17 inches, what are the actual dimensions of the
park
The question is incomplete. Here is the complete question.
As a part of city building refurbishment project, architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.
The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?
Answer: 81 feet by 153 feet
Step-by-step explanation: Unit Scale is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.
In the refurbishment project, the unit scale is given by
1 inch = 9 feet
So, the dimensions of the new park in actual dimensions would be
1 inch = 9 feet
9 inches = x
x = 9.9
x = 81 feet
1 inch = 9 feet
17 inches = y
y = 17.9
y = 153 feet
The actual dimensions of the new park are 81 feet by 153 feet.
can someone help me please? find the value of each variable..
Answer:
x = 4, y = 3
Step-by-step explanation:
Solve the following inequality:
2. 4x + 6 < 38
Answer- x<8
Solutions
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
4*x+6-(38)<0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
4x - 32 = 4 • (x - 8)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by 4
Solve Basic Inequality :
2.2 Add 8 to both sides
x < 8
On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes. On Saturday she uses 1 1/2 times as much pancake mix as Friday. What fraction of teh box of pancake mix does Merinda use on Saturday
Answer:
3/8 of the box
Step-by-step explanation:
On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes.
On Saturday she uses 1 1/2 times as much pancake mix as Friday.
On Friday = 1/4 of the box
On Saturday = 1 1/2 × pancake mix as Friday
[tex]\dfrac{3}{2}\times \dfrac{1}{4}\\\\=\dfrac{3}{8}[/tex]
Hence, 3/8 of the box of pancake mix does Merinda use on Saturday.
What is the slope of,
(-2,1) and (5,4)?
Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]\frac{4-1}{5--2}[/tex] =
[tex]\frac{4-1}{5+2}[/tex] =
[tex]\frac{3}{7}[/tex]
On Wednesday, Larry ran 3 miles at 7 mph. How long did it take him to run the 3 miles?
Write an equivalent expression using the Distributive Property.
Enter the correct answers in the boxes.
35+21=7(_+_)
Answer:
35 + 21 = 7(5 + 3)
Step-by-step explanation:
In this question, we have to write an equivalent expression to the one on the left, while using the distributive property.
Our equation is: 35 + 21 = 7(_ + _), we have to find the missing values.
In the equation, we can see that 7 is divisible to 35 and 21, which means we can simply divide in order to get our missing numbers.
Divide:
35/7 = 5
21/7 = 3
When we plug those values into our equation, it would be:
35 + 21 = 7(5 + 3)
When you use distributive property by distributing the 7 to the number inside the parenthesis, you would get this:
35 + 21 = 35 + 21
When you simplify, you would get the same answer.
56 = 56.
Therefore, your answer would be 35 + 21 = 7(5 + 3)
Answer:35 + 21 = 7(5 + 3) is the answer.
Have a great day!
Step-by-step explanation:
graph the equation with a y intercept of 2 and a slope of 2/3
Answer:y=2/3x+2
Step-by-step explanation:
Answer:
Step-by-step explanation:
go on the y-axis and go up to two and then go to the x-axis and start at zero and go to the left two and up three.
What is the sign of the product (3)(-3)(-2)(4)? (5 points) Select one: a. Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive b. Positive, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is positive c. Negative, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is negative d. Negative, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is negative
Answer: a. Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive
Step-by-step explanation: It is also possible to rearrange the factors.
(3)(4) = 12 a positive number.
(-3)(-2) = 6, a positive number. Again "a negative times a negative is a positive" --Jaime Escalante, Stand and Deliver
Now you have two positive numbers: 12×6 = 72
The product is positive either way.
Use the Exterior Angle Inequality Theorem to list all of the angles that measure less than the measure of Angle 1
Angle 9
Angle 5
Angle 8
Answer:
Angle 5
Angle 8
Step-by-step explanation:
[tex] \angle 5 \:\&\: \angle 8[/tex] measure less than the measure of Angle 1.