Suppose that in a memory experiment the rate of memorizing is given by
M'(t) = - 0.009t^2 + 0.6t where M'(t) is the memory rate, in words per minute. How many words are memorized in the first 20 min (from t = 0 to t = 20)? In the first 20 minutes ____ words are memorized.
Answers
In the first 20 minutes, 96 words are memorized
To find the total number of words memorized in the first 20 minutes, you need to integrate the memory rate function M'(t) from t = 0 to t = 20.
M(t) = ∫(-0.009t^2 + 0.6t) dt
Integrating, we get:
M(t) = -0.003t^3 + 0.3t^2 + C
To find the total number of words memorized in the first 20 minutes, evaluate M(t) at t = 20 and subtract M(t) at t = 0:
M(20) - M(0) = (-0.003 * 20^3 + 0.3 * 20^2) - (0)
M(20) = -0.003 * 8000 + 0.3 * 400
M(20) = -24 + 120
M(20) = 96
In the first 20 minutes, 96 words are memorized.
To learn more about integration visit:
brainly.com/question/18125359
#SPJ11
Related Questions
Perpetual preferred stock from Franklin Inc. sells for $97.50 per share, and it pays an$8.50 annual dividend. If the company were to sell a new preferred issue, it would incur a flotation cost of 4.00% of the price paid by investors. What is the company's cost of preferred stock for use in calculating the WACC?
A) 8.72%
B) 9.08%
C) 9.44%
D) 9.82%
E) 10.22%
Answers
The company's cost of preferred stock is 9.08%, which means the correct answer is B) 9.08%. The cost of a service may be determined by the amount of time and expertise required to provide it. In general, cost is an important factor in determining the feasibility and profitability of a project or business venture.
Cost refers to the amount of money that is required to purchase or produce something. For example, the cost of a product may be determined by the amount of materials and labor that went into producing it, as well as any other expenses associated with bringing it to market.
To calculate the company's cost of preferred stock, we need to use the following formula:
Cost of preferred stock = annual dividend / price per share - flotation cost
In this case, the annual dividend is $8.50, the price per share is $97.50, and the flotation cost is 4.00% of the price paid by investors. Plugging these values into the formula, we get:
Cost of preferred stock = $8.50 / $97.50 - 4.00% = $8.50 / $97.50 * (1 - 0.04) = $8.50 / $93.80 = 0.0908
Therefore, the company's cost of preferred stock is 9.08%, which means the correct answer is B) 9.08%.
Learn more about the cost, here https://brainly.com/question/15135554
#SPJ4
In the rainforest of Puerto Rico, I needed to measure the height of a really tall tree. I used a device to measure the angle of elevation from my line of sight to the top of a tree to be 31°. Find the height of the tree if my height is 6 feet and I was 275 feet from the tree
Answers
Answer:
Step-by-step explanation:
See image
Write 45 as a product of three primes
Answers
Answer:
1, 3, 5
Step-by-step explanation:
:)
Answer:
3 x 3 x 5
Step-by-step explanation:
Prime numbers are numbers that cannot factor any lower then itself and one (which includes, but is not limited too: 1, 3, 5, 7, 11, 13, 17, etc.
5 x 1 = 5
3 x 1 = 3
Factor:
45 = 15 x 3
15 = 5 x 3
3 x 3 x 5 is your answer.
What is the equation in slope-intercept form for the line that passes through the points
-4,3 and 2,-6 (slope intercept form)
Answers
Answer:
check the file to see the answer i added a screen shot of the answer
Step-by-step explanation:
Write a polynomial function f of least degree that has a
leading coefficient of 1 and the given zeros. Write the
function in standard form.
Given zeros: -6,0,3-square root of 5
Answers
The least polynomial that contains the roots - 6, 0, 3 - √5 is equal to y = x⁴ - 5 · x³ - 2 · x² + 4 · x.
How to derive a polynomial function
In this problem we must determine a polynomial function that contains the following roots: - 6, 0, 3 - √5. By quadratic formula we understand the quadratic polynomial may contain two roots of this kind: x₁ = α + β and x₂ = α - β. Therefore, the complete set of roots of the least polynomial is:
x₁ = - 6, x₂ = 0, x₃ = 3 - √5, x₄ = 3 + √5
And the factor form of the least polynomial is:
y = (x + 6) · x · (x - 3 + √5) · (x - 3 - √5)
y = (x² + x) · [(x - 3)² - 5]
y = (x² + x) · (x² - 6 · x + 4)
y = x⁴ + x³ - 6 · x³ - 6 · x² + 4 · x² + 4 · x
y = x⁴ - 5 · x³ - 2 · x² + 4 · x
To learn more on polynomials: https://brainly.com/question/20121808
#SPJ1
PLEASE HELP ASAP ILL MAKE BRAINLIEST HURRY
The graph below shows the amount of money earned based on the number of hours spent tutoring.
Select all the true statements based on the graph.
A
Point C represents the total amount earned after tutoring for 4 hours.
B
The total amount earned is $6 after tutoring for 90 hours.
C
The total amount earned is $15 per hour.
D
The point (5,75) represents that $75 was earned after tutoring for 5 hours.
Answers
Answer: C and D
Step-by-step explanation:
Answer:
A and B are both credible on the graph.
Starting from the wedge-and-dash structure below, rotate the back carbon to provide the Newman projection in the most stable conformation.
Answers
The most stable conformation of the wedge-and-dash structure can be achieved by rotating the back carbon to provide the Newman projection.
How can the wedge-and-dash structure be transformed into the most stable Newman projection by rotating the back carbon?In order to determine the most stable conformation, we need to consider the concept of steric hindrance.
In a Newman projection, the most stable conformation is achieved when the bulky substituents are positioned as far apart as possible, minimizing steric interactions.
To achieve this, we need to rotate the back carbon in such a way that the largest substituents are in the anti position, meaning they are 180 degrees apart from each other.
By rotating the back carbon in the wedge-and-dash structure, we can position the largest substituents in the anti position, thus achieving the most stable conformation in the Newman projection.
This conformation minimizes steric hindrance and provides the optimal arrangement of substituents.
Learn more about Newman projection
brainly.com/question/24608677
#SPJ11
HELP ME I AM BEING TIMED!!!
Answers
Answer:
E
Step-by-step explanation:
If you substitute values you will see its the same
Answer:
The answer is E
Step-by-step explanation:
The cheerleading squad sold 480 spirit ribbons, collecting a total of $360.00. What was the cost of each ribbon?
Answers
Answer:
1.33
Step-by-step explanation:
480 divided by 360 gets you 1.33
Answer:
Each ribbon costs $0.75.
Step-by-step explanation:
All you need to do solve the problem is divide 360/480 = 0.75.
To check your answer, multiply 0.75 by the number of ribbons sold:
0.75 x 480 = 360
I hope this helped! If it did, please consider rating my answer and pressing thanks. Have a fantastic day!
jill write's 2 to the 3 power times 4 to the 3 power =8 to the 6 power and the teacher marked it wrong. Explain Jill's error
Answers
Answer:
Jill did 2*4 = 8. and then she added 3+3 for the exponets. This led her to get 8 ^6. What she should have done instead of figure it out separately. This would have led her to get 8*64, which is, 8^3.
Step-by-step explanation:
Determine if this graph is an example of a function.
Answers
Answer: Relation
Step-by-step explanation:
The graph fails the vertical line test.
Determine the truth value of each conditional statement. If true, explain your reasoning. If false, give a counterexample.If two angles are congruent, then they are vertical angles.
Answers
The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles
How to determine the truth value of the conditional statement?The conditional statement is given as:
If two angles are congruent, then they are vertical angles.
The above statement is false because not all congruent angles are vertical angles
A counterexample of this statement is a corresponding angle
i.e. corresponding angles are congruent angles, but they are not vertical angles
Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle
Read more about counterexample at
https://brainly.com/question/16660863
#SPJ1
What is the probability of spinning a white on the spinner
Answers
Answer:
where is the spinner?
Step-by-step explanation:
Drag each label to the correct location on the chart.
Sort the activities based on whether they decrease or maintain biodiversity.
planting more trees
excessive mining to
obtain minerals
releasing sewage
water into lakes
prohibiting fishing
during breeding
season
Decreases Biodiversity
Maintains Biodiversity
Answers
Answer:
Maintains Biodiversity: A and D
Increase Biodiversity: B and C
Step-by-step explanation:
"Aug 23, 2019 — Biodiversity is a term used to describe the enormous variety of life on Earth. It can be used more specifically to refer to all of the species in one region or ecosystem. Biodiversity refers to every living thing, including plants, bacteria, animals, and humans."
~National Geographic Society
i make this note because it explains this point in a way that is understandable, with this, we can see why planting more trees -making more room and suitable habitat for animals- could maintain (or possibly increase) biodiversity where as dumping sewage water -killing a lot of marine life due to chemicals in the sewage or trash such as plastic items- would decrease it
hope this helps you out :)
Find the area of the circle.
8 m
Answers
Answer:
\(\pi \: r ^{2} \)
this your formula
and your answer is 201.142cm square
(52 + 8)------------30solve then write two different word phrases for the expression
Answers
Given the expression :
\(\frac{52+8}{30}\)To solve the given expression:
First add the numbers 52 and 8 then divide by 30
so, the result will be as following :
\(\frac{52+8}{30}=\frac{60}{30}=\frac{6}{3}=2\)So, the answer is : 2
=========================================================
Also, we need two different word phrases for the expression
The first :
52 increased by 8 then divided by 30
The second :
The Quotient of the sum numbers (52 , 8 ) and 30
the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
Answers
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
Learn more about the ratio here:
brainly.com/question/1504221
#SPJ4
PLSSS solve question 5
Answers
Answer:
i dont know m3 but m1 is 62 and m2 is 45
Step-by-step explanation:
Male and female high school students reported how many hours they worked each week in
summer jobs. The data is represented in the following box plots.
0
Males
Females
4.
10
20
30
40
50
Identify any values of data that might affect the statistical measures of spread and center. (1
point)
Answers
The value of data that might affect the statistical measures of spread and center is B. There is a high data value that causes the data set to be asymmetrical for the males.
How can spread and center be affected ?Outliers stretch out the data further, resulting in a wider range and a higher standard deviation. On the other hand, eliminating outliers reduces data spread, resulting in a lower range and standard deviation.
When an outlier is present, it might change the way the graph looks since it raises the mean. From the chart, there is a high data value in the males which will therefore make the data to be asymmetrical for the males as the larger spread for the males means the data set tilts towards them.
Find out more on spread and center at https://brainly.com/question/28660799
#SPJ1
Choose the best method to solve the system of linear equations. Then choose a reason to justify your answer choice. x−3y=6 x−3y=−3
Answers
Answer:
No solution.
Step-by-step explanation:
The given equations are :
x−3y=6 ...(1)
x−3y=−3 ...(2)
We need to solve the above equations.
The above two lines are parallel. Forparallel lines,
\(\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\ne \dfrac{c_1}{c_2}\)
Here,
\(\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\)
It means, the above equations have no solution.
The coordinates of the point T are (10,-3) and the coordinates of point U are (10,-9). What is the distance, in units between the point T and point U
Answers
Answer:
oi caçula dj oferece fx ex dxexexexed3d3d3x4xt ni brx ex sy
Problem 2 (8 points) The demand for product S is 150 units at the
start of week 6. Each product S needs 2 T units and 3 U units. Each
T unit needs 2 V units, 1 W unit, and 4 X units. Each U unit needs
Answers
Problem 2Given the demand for product S at the start of week 6 as 150 units, and each product S needs 2 T units and 3 U units. Also, each T unit needs 2 V units, 1 W unit, and 4 X units.
Each U unit needs 3 V units, 2 W units, and 1 X unit.To determine the total number of units of V, W, and X required to produce the demand for product S, we need to use the bill of materials (BOM). A bill of materials (BOM) is a list of the raw materials, sub-assemblies, intermediate assemblies, sub-components, parts, and the quantities of each needed to manufacture an end product.To calculate the BOM, let's start with the demand for product S:150 units of S require Now, let's calculate the requirements of the units of T.
W1 × 150 = <<1*150=150>>150 units of X Therefore, the total number of units of V, W, and X required to produce the demand for product S is:V: 600 + 450 = <<600+450=1050>>1050W: 300 + 300 = <<300+300=600>>600X: 1200 + 150 = <<1200+150=1350>>1350 Hence, the number of units of V, W, and X required to produce the demand for product S are 1050, 600, and 1350 units, respectively.
To know more about units visit :
https://brainly.com/question/23843246
#SPJ11
Can anyone solve this for me?
\(x^{2}\)+9x-6
x = \(\frac{-1^{2} }{3}\)
Answers
Answer: 9x - 485/81
------------------------------
Angle
x
= 076° and angle
y
= 111°.
Find the bearing of point A from point O.
Answers
The bearing of point A from point O is 256°.
What are bearings?In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.
Given that, angle x= 076° and angle y = 111°.
Now, the bearing of point A from point O is
180°+ 076°
= 256°
Therefore, the bearing of point A from point O is 256°.
Learn more about the bearings here:
https://brainly.com/question/27962362.
#SPJ1
1. Find the product of 4 X 2 X 3 two different ways.
Answers
Answer:
6 x 4
8 x 3
The product: 24
Hope This Helps! •v•
Step-by-step explanation:
Answer:
6 x 4
8 x 3
The product: 24 K12 is how i know thx bye! :D
What is the solution of the system of equations?
y=2x-3
5x +y = 11
Answers
Answer:
(2,1)
x=2 y=1
Step-by-step explanation:
Step by step answer
x=2 y=1
x + 7<8
PLLLLSSS its due in 30 mins
Answers
Answer:
\(x<1\)
Step-by-step explanation:
subtract \(7\) from both sides
plz mark me brainliest. :)
Answer:
x+7<8 = x= -15
Step-by-step explanation:
you welcome :)
Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
Answers
Answer:
8) 50°, 50°, 130°, 130°10) 120°Step-by-step explanation:
Ex 8Adjacent interior angles of a parallelogram are supplementary
Let the small angle is x, the other angle is:
2x + 30°The sum of two angles is 180°
x + 2x + 30° = 180°3x = 150°x = 50°The angles are 50°, 50°, 130°, 130°
Ex 10Sum of interior angles of a pentagon is:
S = 180°(5 - 2) = 540°Two of the angles are supplementary, so they sum to 180°
The sum of the remaining 3 angles is:
3x = 540° - 180°3x = 360°x = 120°Each of the congruent angles is 120°
given a multi-value attribute with a variable number of values, for which we need to process independently the values, it is recommended to consider a new dependent entiy to represent the values
Answers
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.
To know more about Efficiency visit:
https://brainly.com/question/13222283
#SPJ11
(x - 3)(2x + 1)(Ax + 1) = 8x? + Bx? + Cx - 3
Work out the value of A, the value of B and the value of C.
Answers
Answer:
Please refer the below attachments.
Hope it helps
Please mark me as the brainliest
Thank you
