The instantaneous rate of change is -6 words per day,
the number of words Alex remembers after 5 days, option (D).
What is the instantaneous rate of change ?
An instantaneous rate is the rate at some instant in time. An instantaneous rate is a differential rate: -d[reactant]/dt or d[product]/dt. We determine an instantaneous rate at time t: by calculating the negative of the slope of the curve of concentration of a reactant versus time at time t.
Have given,
Alex learned 80 new vocabulary words
and after t days he learned,
W(t) = [tex]80 (1-0.1t)^{3}[/tex]
differentiate respect of t
W'(t) = [tex]80 \frac{d}{dt} (1-0.1t)^{3}[/tex]
W'(t) = [tex]80 * 3(1-0.1t)^{2} \frac{d}{dt}(1-0.1t)[/tex]
W'(t) = [tex]240(1-0.1*5)^{2} (0.1)[/tex]
W'(t) = 6
That's mean , the instantaneous rate of change is -6 words per day.
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The national mean annual salary for a school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state and to see if they differed from the national average. Click on the datafile logo to reference the data.
A. Formulate hypotheses that can be used to determine whether the population mean annual administrator salaries in Ohio differ from the national mean of $90,000.
B. The sample data for 25 Ohio administrators is contained below. What is the p-value for your hypothesis test in part A?
C. At alpha = 0.05, can your null hypothesis be rejected? What is your conclusion?
D. Repeat the preceding hypothesis test using the critical value approach?
Salary Data
77600
76000
90700
97200
90700
101800
78700
81300
84200
97600
77500
75700
89400
84300
78700
84600
87700
103400
83800
101300
94700
69200
95400
61500
68800
What are m21 and m_2?
Answer:
<1 = 35degrees
<2 = 30degrees
Step-by-step explanation:
Using the theorem that the sum of external angle is equal to sum of interior angle
Considering the smaller triangle
Exterior angle = 115 degrees
Sum of interior = <1 + 80
Equating both
<1 + 80 = 115
<1 = 115 - 80
<1 = 35degrees
For the big rectangle
Exterior angle = 115 degrees
Sum of interior = <2 + 85
Equating both
<2 + 85 = 115
<2 = 115 - 85
<2 = 30degrees
Which is the graph of g(x)?
Answer: A because its always A
Step-by-step explanation:
3.
1- =
How do you subtract 1 - 1/2?
Answer:
You can just type it in the calculator. 1/2=0.5 so 1 - .05= 0.5 . Lmk if there is more to the question!
Step-by-step explanation:
In a park, the ratio of adults to children is 11 to 9. If there are 320 people in the park, how many children are there?
Answer:
144
Step-by-step explanation:
320 ÷ 20 = 16
adults : children
11 : 9
9×16 = 144
Are 20,30, and 16 the sides of a right triangle? Please show workkk
Justin is making a poster for Bike Safety Week. The diameter of circle A is 16 in.
If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)
Step-by-step explanation:
Given Area of Circle B = Area of Circle A
Given r = 1/2d = 1/2(16) = 8 in
and Area of Circle =
[tex]\pi {r}^{2} \\ = (3.14) ({8}^{2} ) \\ = (3.14)(64) \\ = 200.96 {in}^{2} [/tex]
2, 1, 1/2, 1/4 which number should come next
HELP ME OUT PLEASE URGENT
A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT). Find the probability of getting exactly two heads.
The probability of getting two heads is
(Type an integer or a simplified fraction.)
Answer:
1/4
Step-by-step explanation:
Two Heads = HH,
From four options one of them is HH,
So likely the answer is 1/4,
Hope this helps!
I NEED THE ANSWER(ASAP)
The list below shows the allowance earned by eight of the students in Ms. Tomas's class. What is the mean allowance earned in Ms. Tomas's class?
$7, $12, $8.50, $ 10, $7, $8, $10.50, $11
Answer:
9.25
Step-by-step explanation:
For the mean, you have to add all and divide it by the numbers.
7 + 12 + 8.50 + 10 + 7 + 8 + 10.50 + 11 = 74
74 divided by 8 = 9.25
1. Use the formula V = Bh to find the volume of a gift box that is 3.5 inches
high, 7 inches long, and 6 inches wide.
Answer:
147
Step-by-step explanation:
Length x Width = base
Base x Height = Volume
Which of the following expressions had a constant of 6 and a coefficient of 2/3?
Answer:
The answer is d, 2/3y-6
Step-by-step explanation:
A cube has a surface area of 54cm2. What is the volume of the cube?
Answer:
27 cm³
Step-by-step explanation:
A = 6 a²
V = a³
V=6A3/2
36=6·543/2
36≈27cm³
Hope this helps! Pls mark brainliest
What is the cos(65)?
Please help with math and explain if u do i’ll give brainly!!
Answer:
3/2
Step-by-step explanation:
MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.
To get the scale factor you have to compare the sides.
Line AD = 6 in.
Line MP = 4 in.
6/4 = 3/2
Cara is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1/5 of the sundaes are mint ice cream and 1/2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answer:
5
Step-by-step explanation:
HOPE THIS HELPS YOU!
brainliest?
Will it fit in a pot with a height of 20 cm and a bottom radius of 10 cm of 2.5 liters?
Can someone help me pls I need it fast
Answer:
Step-by-step explanation:
Volume of pot = πr²h
= 3.14 * 10 * 10 * 20
= 6280 cubic cm
1000 cubic cm = 1 litre
6280 cubic cm = 6.28 litre
∵ 2.5 litres will fit in the pot as the capacity of pot is 6.28 litre
One of two complementary angles is 71 degrees. Let x = the measure of
the other complementary angle. Write and solve an equation to find the
measure of angle x.
Answer:
19 degrees
Step-by-step explanation:
Sum of 2 angles is complementary,
x + 71 = 90
x = 90 - 71
x = 19 degrees
What’s the answer to this
Answer:
D: 39.71 pi m cubed
Step-by-step explanation:
To find the volume of a cylinder, you must use the equation V=pi times the radius squared times the height.
For this problem, the radius is 1.9 and the height is 11, and this gives you 124.75 which divided by pi, is rounded to 39.71One positive number is 9 more than twice another. If their product is 95, find the numbers.
Answer:
The numbers are 19 and 5
Step-by-step explanation:
Given
Let the numbers be [tex]x\ and\ y.[/tex]
So:
[tex]x = 9 + 2y[/tex] --- First statement
[tex]x*y = 95[/tex] --- second statement
Required
Find x and y
Substitute [tex]x = 9 + 2y[/tex] in [tex]x*y = 95[/tex]
[tex](9 + 2y) * y = 95[/tex]
[tex]9y + 2y^2 = 95[/tex]
Rewrite as:
[tex]2y^2 + 9y - 95 = 0[/tex]
Expand
[tex]2y^2 -10y +19y- 95 = 0[/tex]
Factorize
[tex]2y(y -5) +19(y- 5) = 0[/tex]
[tex](2y +19)(y- 5) = 0[/tex]
Solve for y
[tex]2y + 19 =0[/tex] or [tex]y - 5 = 0[/tex]
[tex]2y = -19[/tex] or [tex]y = 5[/tex]
[tex]y = -\frac{19}{2}[/tex] or [tex]y=5[/tex]
Since the numbers are positive, we take only:
[tex]y=5[/tex]
Substitute [tex]y=5[/tex] in [tex]x = 9 + 2y[/tex]
[tex]x = 9 + 2 * 5[/tex]
[tex]x = 9 + 10[/tex]
[tex]x = 19[/tex]
The numbers are 19 and 5
Mark rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 5
Answer:
1/3
Step-by-step explanation:
p=1/6+1/6
=2/6
=1/3
Can the sides of a triangle have lengths 8, 17, and 18?
Answer:
Step-by-step explanation:
Tak
A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? mmnle 10 percent would be 10% You can find the percent
Answer:
The percentage in mark up is 503.56%.
Step-by-step explanation:
The percentage in markup is the change(retail - cost) divided by the initial cost, and multiplied by 100%.
In this question:
Cost: 1.49
Change: 8.99 - 1.49 = 7.5
Percentage change:
(7.5*100%)/1.49 = 503.56%.
The percentage in mark up is 503.56%.
Please help me (>^ <)
-Solving Equations with variables on both sides
Answer:
1) x = -1
2) x = 11
3) x = -3
4) x = -14
5) x = -7
6) x = 5
7) x = 12
8) x = -4
Step-by-step explanation:
use the photomath app
PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME
please help me with this asap
Answer:
Upper left is 9, upper right is 9, lower left is 21
Step-by-step explanation:
They tell us there are 9 birds that are yes fly and yes fish, so that’s the upper right.
They tell us there are 18 yes fish total. Subtract the 9 from the upper right, and that leaves 9 for the upper left.
They tell us there are 39 birds total.
39 - 18 (all fish eaters) - 4 (no fly, no fish) = 17 that can fly but don’t eat fish.
Make sense? lmk if you have questions
find the missing side.
It says on image below I think
Answer:C
Step-by-step explanation:
Answer: bro i cant see it can you make it lighter
Step-by-step explanation:
What is the slope of the line below?