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]
What is the solution to the system of equations shown?
y=2x+2
y=4x-2
Step-by-step explanation:
[tex]y = 2x + 2 \\ y = 4x - 2 \\ 2x = y - 2 \\ x = 0.5y - 1 \\ y = 4(0.5y - 1) - 2 \\ y = 2y - 4 - 2 \\ - y = - 6 \\ y = 6 \\ x = 0.5 \times 6 - 1 \\ x = 2[/tex]
You are throwing a party at an arcade. You recieve 5 tokens for every dollar spent. Create an equation that describes this situation. T is the total number of tokens and D is the number of dollars.
Answer: 5D = T
Step-by-step explanation:
A dollar spent will give 5 tokens.
The amount of dollars spent therefore will increase the number of tokens you by fivefold.
Formula is therefore:
5D = T
Testing it.
Assume you spent 5 dollars, how many tokens would you have:
5D = T
5 * 5 = 25 tokens
Which representation shows y as a function of x?
Answer:
D vote brainliest
categorize the graph as linear increasing linearly decreasing exponential growth or exponential...
Answer:
Choice C
Step-by-step explanation:
The line is a linear line because it's straight exponential lines are more like an arch.
Next the line is increasing because it's going up not down if it was down it would be decreasing.
C) Linear increasing is the category of the graph.
The line is a linear line because its straight exponential lines are more like an arch. Next, the line is increasing because it's going up not down if it was down it would be decreasing.
What is a linear increase in a graph?If a linear graph is growing then its gradient is superb, for the reason that while x will increase by using 1, y adjustments through an advantageous quantity. If a linear graph is lowering, the gradient is a terrible range.
The key difference between linear and exponential increases is the slope of the curves (this is, the rate of an exchange over the years). A linear boom function has an advantageous constant slope, while an exponential increase feature has a high-quality slope that is continually growing.
Despite the fact that you're probably really familiar with growth, any increase that reasons the output Y to be larger than the enter X is known as a non-linear boom. In standard, the outputs of human interest grow in a non-linear style.
Learn more about Linear increasing here: https://brainly.com/question/4025726
#SPJ2
What is the first step to solve this equation?
2x + 3 = 13
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
2
x
=
16
Divide each term by
2
and simplify.
Tap for fewer steps...
Divide each term in
2
x
=
16
by
2
.
2
x
2
=
16
2
Cancel the common factor of
2
.
Tap for more steps...
x
=
16
2
Divide
16
by
2
.
x
=
8
Answer:
move the constant to the right 2x=13-3 subtract 2x =10 divided both sides by 2 x=5
JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH?
Answer:
26
Step-by-step explanation:
45-7=38,
38/2= 19,
19+7=26
To make a shade of green called “Jasper Green," mix 4 quarts
of green paint with 2/3 cups of black paint.
How much green paint should be mixed with 4 cups of black
paint to make the same shade?
(Please help me before I get in trouble)
Answer: use a Calculator
Step-by-step explanation: really sorry if being mean and rude
Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°
Answer:
A and C
Step-by-step explanation:
A) 160 + 20 = 180
B) 120 + 40 = 160
C) 45 + 135 = 180
D) 30 + 120 = 150
All supplementary angles must add up to 180 degrees.
plz help i dont want to fail plzzzzzz
Answer:
c= 7 p=4
Step-by-step explanation:
3p + 4c = $40
therefore
15p + 20c = 200
5p + 2c = 34
therefore
15p + 6c = 102
14c = 98
98/14=7
c = 7
5p + 2(7) = 34
5p + 14 = 34
- 14 - 14
5p = 2020/5= 4
p = 4
Two students that are on the same longitudinal line are approximately 5400 miles apart. The used an inclinometer, a little geometry, and a tangent line to determine the that and . The two students form a central angle of 85.9º with the center of the earth. Given this information determine how far each student is away from the moon.
Answer:
MB= 239627
MA= 239327
Radius= 3963
Step-by-step explanation:
Please ANSWER THE ANSWER HAS TO BE A INTEGER OR A DECIMAL.
Answer: 4.3
Step-by-step explanation: To find the range you have to subtract the highest number by the lowest number. So you'd subtract 2.6 by -1.7. And since -1.7 is already a negative number, it would get turned into a positive.
Rewrite 18m - ( 2 + 3m ) without parentheses.
Answer:
15m−2
Step-by-step explanation:
Distribute the Negative Sign:
=18m + −1(2 + 3m)
=18m + (−1)(2) + −1(3m)
=18m + −2 + −3m
Combine Like Terms:
=18m + −2 + −3m
=(18m + −3m) + (−2)
=15m + −2
Find the perimeter of the trapezoid. PLEAASSSSSEEEEE HELLLLLLPPPPPP MEEEEEEE!!!!!!!!!!!
Answer:
48
Step-by-step explanation:
1 1/2 - (5/6x + 1/3) = 8/9 Really urgent pls help
Answer:
x = 1/3
Step-by-step explanation:
Rewrite the mixed number 1 1/2 as 1 9/18. The denominator here is 18, which is the smallest number divisible by 2, 6, 3 and 9. Then we have:
1 9/18 -(15/18)x - 6/18 = 16/18
or:
27/18 -(15/18)x = 22/18
Clear this of fractions by multiplying all terms by 18:
27 - 15x = 22, or
5 = 15x, or
x = 5/15, or x = 1/3
The value of the equation x = 1/3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
1 1/2 - [ ( 5/6 )x + 1/3 ] = 8/9 be equation (1)
On simplifying the equation , we get
3/2 - ( 5/6 )x - 1/3 = 8/9
Adding (5/6)x on both sides of the equation , we get
( 5/6 )x + 8/9 = ( 7/6 )
Subtracting 8/9 on both sides of the equation , we get
( 5/6 )x = ( 7/6 ) - ( 8/9 )
( 5/6 )x = ( 63 - 48 ) / 54
Multiply by ( 6/5 ) on both sides of the equation , we get
x = ( 15/54 ) x ( 6/5 )
x = 3/9
x = 1/3
Hence , the value of the equation is x = 1/3
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Calvin bought 6 ties for $19.50 each and three shirts for $23.50 each. how much did he spend?
PLEASE HELP THE ANSWER HAS TO BE A INTEGER OR A DECIMAL.
Answer:
It's the same as the last one. The answer is -2.3
Step-by-step explanation:
Please Help! Freshman in Highschol for Algebra 1
Answer:
Disagree 15 minutes
Step-by-step explanation:
write a similarly statement comparing the two triangles
Answer:
C. ΔBDC+~+ΔEDA
Step-by-step explanation:
Two triangles are said to be similar if their sides and angles are relation in a definite proportion. So that, comparing the triangles (ΔBDC and ΔEDA) in the given diagram;
<B ~ <E
<C ~ <A
D is a common angle to both triangles (right angle).
Also,
BC ~ EA
DC ~ DA
BD ~ ED
Thus, the statement that compares the two triangles is:
ΔBDC+~+ΔEDA (similarity property)
8. GradPoint question
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
A. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
B. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
C. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
D. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
Answer:
I'm sorry but I have no clue. Actually I think it's C.
Step-by-step explanation:
Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search
Complete question :
Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search
What is the probability that she draws a green ball and a tile numbered with 4?
Answer:
1 / 10
Step-by-step explanation:
Given:
Bag content :
Green balls = 4
Yellow balls = 4
Probability = required outcome / Total possible outcomes
P(drawing a green ball) = 4 / 8 = 1/2
Total number of tiles = 5
P(drawing tile numbered 4) = (number of tiles numbered 4 / total number of tiles) = 1 / 5
P(drawing a green ball) * P(drawing tile numbered 4)
= 1 / 2 * 1 /5
= 1 / 10
i’ll give brainliest!
Brad made a graph showing how many students were absent from school every day last week.
2. how many students were absent on day3? explain how you know.
3.on which day were the greatest number of students absent? how many students were absent that day?
ANSWER:
2.) There are 5 students absent on day 3 because the dot is in the line of 5 in day 3.
3.) The 2 day is the greatest number of students absent beacause on that 2 day, 10 students were absent
I obviously know this is the answer
Is this a right triangle??? Show work
Answer:
This is a right angle.
Step-by-step explanation:
As you can see below, the angle specified is 90 degrees. That is a right angle.
PLEASE HELP!!!!!!!
Points A and C are vertices of a cube with a side length of 2 cm, and B is the point of the intersection of the diagonals of one face of the cube, as shown below.
Determine the length of CB.
9514 1404 393
Answer:
CB = √6 cm
Step-by-step explanation:
The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.
Then the length CB is given by the Pythagorean theorem as ...
CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm
CB = √6 cm
State all the integer values of x in the interval -2 ≤ x ≤ 4 that satisfy the following inequality 5x+5 ≥3
Answer:
0, 1, 2, 3, 4
Step-by-step explanation:
solving 5x + 5 ≥ 3 we get x ≥ -2/5
all values above, and including, zero are solutions
Consider I(p) = p(50 - p) , which gives the expected income in dollars from a bungee jump attraction when the ticket price is p dollars. What is I(20)?
Answer:
I(20) is 600 dollars
Step-by-step explanation:
From the given function, I(p) = p(50 - p)
Where I is the income in dollars and p is price dollars.
To determine I(20), that is, to determine the income in dollars when the ticket price is 20 dollars.
From
I(p) = p(50 - p)
When p = 20
Then,
I(20) = 20(50 - 20)
I(20) = 20(30)
I(20) = 20 × 30
I(20) = 600
Hence, I(20) is 600 dollars
That is, the income is 600 dollars when the ticket price is 20 dollars.
Paul leaves £4000 in the bank for two years. It earns compound interest of 5% per year. Calculate the totals amount Paul has in the bank at the end of the two years
Answer:
£4410
Step-by-step explanation:
Step one:
given data
Principal P= £4000
Rate= 5%= 0.05
time t= 2 years
Final amount A= ??
Required
The final amount
Step two:
The expression for the final amount of compound interest is
[tex]A= P(1+r)^t\\\\A=4000(1+0.05)^2\\\\A=4000(1.05)^2\\\\A=4000*1.1025[/tex]
A=£4410
Rodrigo is buying snacks for a party he bought 2 1/5 pounds of mixed nuts
Answer:
She spends about 12.45 on the nuts.
Step-by-step explanation:
2/3(7.50)+1/2(2.40)+1 1/4(5.00)
Answer:
4.75
Step-by-step explanation:
2 1/5= 11/5= 2.2 pounds
10.45 / 2.2 = $4.75
Jorge Claims that the distance between his house and the library is 13 miles. His city is placed on a coordinate plane. Jorge's House is at the coordinates (5, 1), the mall is at coordinates (2, 11) and hte Library is at cordinates (10, 13). What equation verifies his claim?
Answer:
House coordinate = (5, 1)
Library coordinate = (10, 13)
Step-by-step explanation:
Given :
House coordinate = (5, 1)
Library coordinate = (10, 13)
Distance between house snd library :
Distance = sqrt[(x2 - x1)² + (y2 - y1)]
x1 = 5, x2 = 10, y1 = 1, y2 = 13
Distance = sqrt[(10 - 5)² + (13 - 1)²]
Distance = sqrt[(5² + 12²)]
Distance = sqrt(25 +144)
Distance = sqrt(169)
Distance = 13
7w + 3 + 2w + 9 simplified
The answer is 9w + 12
hope this helps!
Answer:
9w + 12
Step-by-step explanation:
First, add the 7w and the 2w
7w + 2w = 9w
Second, add 3 and 9
3 + 9 = 12
Last, add the two together
9w + 12 =
Hope this helps!
Please help 30 points
The number of lattes sold daily by two coffee shops is shown in the table.
Shop A Shop B
55 45
52 42
56 57
48 48
57 11
30 10
45 46
41 43
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both coffee shops because the data distribution is symmetric
Median for both coffee shops because the data distribution is not symmetric
Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric
Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Answer: correct option is mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Step-by-step explanation:
According to the given data the correct statement is Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.
Note that the two values of Shop B (10 and 11) are alot lower than the other values.
Thus the correct option is Mean for shop A and Median for shop B.