Answer:
The rate of change relates the change in population to the change in time. The population increased by 2212−1900=312 people over the four-years. To find the rate of change, divide the change in the number of people by the number of years.
2212−19004=3124
3124/4 =78
So the population increased by 78 people per year.
Because we are told that the population increased, we would expect the slope to be positive. This positive slope we calculated is therefore reasonable.
If 2.2x10^6 - 4.3x10^5 what does this equal
Answer:
If the decimal is being moved to the left, the exponent will be positive. 1.77×10 ...
Step-by-step explanation:
Answer:
The answer is 1,770,000
Step-by-step explanation:
[tex]2.2 \times 10 {}^{6 } - 4.3 \times 10 {}^{5} [/tex]
1. Orders of Operation. Exponents come first before multiplication. So do the exponents first.
2.2×1,000,000-4.3×100,000
2. Order of Operation. Mutilpication comes before subtraction.
2,200,000-430,000
3. Subtract
1,770,000
Mrs.Thomas looks at the advertisements from the Sunday paper.
Store 1: 30% off
store 2 : Save 2/5
store3: One-third off
Store 4: 40% off
which stores have the equivalent savings
Answer:
store 2 and 4
Step-by-step explanation:
2/5= 40%
Answer:
Store 2 and 4
Step-by-step explanation:
When looking at store 2 and store 4, we're given a fraction and a decimal.
Looking at the fraction [tex]\frac{2}{5}[/tex]- to convert this to a percent, you just multiply it by 100.
2 divided by 5 is 0.4. 0.4 times 100 is 40%.
40% = 40%, so store 2 and store 4 are the same.
The graph of f (x) = −x3 + 3x2 − 2 is
shown in the figure to the right.
Complete the table below by using
the second derivative of f to identify
the intervals on which f us concave
upward or concave downward and
to identify the inflection points of f.
Answer:
Concave Up: (-∞, 1)
Concave Down: (1, ∞)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Combining Like TermsCalculus
Derivative of a Constant is 0.
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Second Derivative Test:
Possible Points of Inflection (P.P.I) - Tells us the possible x-values where the graph f(x) may change concavity. Occurs when f"(x) = 0 or undefinedPoints of Inflection (P.I) - Actual x-values when the graph f(x) changes concavityNumber Line Test - Helps us determine whether a P.P.I is a P.IStep-by-step explanation:
Step 1: Define
f(x) = -x³ + 3x² - 2
Step 2: Find 2nd Derivative
1st Derivative [Basic Power]: f'(x) = -1 · 3x³⁻² + 2 · 3x²⁻¹Simplify: f'(x) = -3x² + 6x2nd Derivative [Basic Power]: f"(x) = -3 · 2x²⁻¹ + 1 · 6x¹⁻¹Simplify: f"(x) = -6x + 6Step 3: Find P.P.I
Set f"(x) equal to zero: 0 = -6x + 6Isolate x term: -6 = -6xIsolate x: 1 = xRewrite: P.P.I x = 1Step 4: Number Line Test
See Attachment.
We plug in the test points into the 2nd Derivative and see if the P.P.I is a P.I.
x = 0
Substitute: f"(0) = -6(0) + 6Multiply: f"(0) = 0 + 6Add: f"(0) = 6This means that the graph f(x) is concave up before x = 1.
x = 2
Substitute: f"(2) = -6(2) + 6Multiply: f"(2) = -12 + 6Add: f"(2) = -6This means that the graph f(x) is concave down after x = 1.
Step 5: Identify
Since f"(x) changes concavity from positive to negative at x = 1, then we know that the P.P.I x = 1 is actually a P.I x = 1.
Let's find what actual point on f(x) when the concavity changes.
Substitute in P.I into f(x): f(1) = -(1)³ + 3(1)² - 2Evaluate Exponents: f(1) = -(1) + 3(1) - 2Multiply: f(1) = -1 + 3 - 2Combine like terms: f(1) = 0So at (1, 0), f(x) changes concavity from concave up to concave down.
Step 6: Define Intervals
We know that before f(x) reaches x = 1, the graph is concave up. We used the 2nd Derivative Test to confirm this.
Concave Up Interval: (-∞, 1)
We also know that after f(x) passes x = 1, the graph is concave down. We used the 2nd Derivative Test to confirm this as well.
Concave Down Interval: (1, ∞)
Select all angles of symmetry.
Answer:
B,C,F
Step-by-step explanation:
Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0
y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx =
Answer:
dy/dt = y ( 3 - y )
Step-by-step explanation:
Given data:
Determine an autonomous differential equation with the following properties
y = 0 and Y = 3
y' > 0 for 0 < y < 3
y' < 0 for -∞ < y < 0 and 3 < y < ∞
considering an autonomous differential equation
dy/dt = y ( 3 - y )
y = 0 and 3 represents equilibrium solutions
if 0 < y < 3 then y ( 3 - y ) > 0 for 0 < y < 3
hence : dy / dt = y' > 0 for 0 < y < 3
y ( 3 - y ) < 0 for -∞ < y < 0 and 3 < y < ∞
hence : dy / dt = y' < 0 for -∞ < y < 0 and 3 < y < ∞
this shows that the autonomous differential equation satisfies every condition hence the autonomous differential equation is :
dy/dt = y ( 3 - y )
Use the information mZ1 = (3x + 30), m42 = (5x – 10°, and x = 20, and the theorems you have learned to
show that 1 || m.
Answer:
Step-by-step explanation:
First you have to do 2 + 2=
I need help with this please
Answer: In math, especially when learning algebra and geometry, you are more likely to a lot of deductive reasoning. That is the process of using theorems, properties of numbers and other recognized rules and procedures to solve equations, to prove geometrical constructions, congruence of angles, etc. Deductive reasoning is the foundation of most of that kind of math, so it is more important when learning and applying the principles and theorems.
Inductive reasoning involves taking specific observations and known facts and using them to make predictions and generalizations. You are more likely to use inductive reasoning when working with statistics and probability.
So both are important at some point, but it may be more important to learn deductive reasoning at first.
An oil well produces 159 gallons of oil every day. A standard oil barrel holds 42
gallons of oil. About how many barrels of oil will the well produce in one day? Estimate.
Answer:
there are 2 full barrels and one that is almost full so intotal there are 3 barrels.
Step-by-step explanation:
Score: 0 of 1 pt
4 of 40 com-
3.1.11
The line graph to the right shows the number of students per teacher in public elementary and
secondary schools for the years 1998 through 2006,
Approximate the number of students per teacher in 1999,
Answer:
~ 17.4
Step-by-step explanation:
The number of students per teacher in 1999 is approximately 17.4
Which table represents a linear function?
Please help?
Answer:
I think its the fourth one sorry if I am wrong
Step-by-step explanation:
bruh i can't and I need help
Ned took a test with 20 questions. He lost 5 points for each of the 8 questions he got wrong and earned an additional 11 points for answering a bonus question correctly. How many points did Ned receive or lose overall?
Answer:
He lost 29 points
Step-by-step explanation:
He lost 29 points. He lost 5 points for each of the 8 questions so -5 x 8 = -40 points, then add 11 = -29
Answer:
He would end up with 71 points
Step-by-step explanation:
You start with 100 hundred points then you have to multiply 8 times 5 which you get 40 so then you have to subtract 100 -40 to get 60 then you add the extra 11 points andyou get 71 points
Question 2 (1 point)
For problem 2 - 26, what is the slope of line C?
A
B
2-26.
D
+
E
8
10
2
a
m = 2
Ob
m = -2/3
c
m = 0
Answer:
Option e: 2/3 is the correct answer.
Step-by-step explanation:
The slope of a line is given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Two-points on line are needed to calculate slope of a line. In the attached diagram, two points are highlighted which are located on line C.
The two points are:
(x1,y1) = (9,4)
(x2,y2) = (3,0)
Putting the values in the formula
[tex]m = \frac{0-4}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}[/tex]
The slope of line C is: 2/3
Hence,
Option e: 2/3 is the correct answer.
you bough shoes for $60. they were on sale for 40% off their original price. a. write a proportion to solve for the original price of the shoes
Answer:
$100
Step-by-step explanation:
The proportion would be [tex]\frac{60}{x} =\frac{60}{100}[/tex]. This is because you are paying for 60% of the original price and 60% is equal to [tex]\frac{60}{100}[/tex].
Round the answer to the nearest hundredth.
√123.3 = __
Answer:
11.10
Step-by-step explanation:
√123.3 = 11.10405
Round.
11.10405 → 11.10
Best of Luck!
George bought 2.5 pounds of each type of fruit shown on the sign what was the total cost of the fruit he bought
Answer:
it would be $2
Step-by-step explanation:
1. (01.02)
Given that f(x) = 6x + 2 and g(x)
2x + 4/5
solve for g(f(1)). (5 points)
1
3
4
8
Answer:4
Step-by-step explanation:
f(1)=6(1)+2
=8
g(f(1))=2(8)+4/5
=20/5
=4
Select the more effective use of correlative conjunctions to join these sentences.
The manager of the supermarket will help the new employee. The assistant manager may help the employee, too.
A. Neither the manager of the supermarket nor the assistant manager may help the new employee.
B. Both the manager of the supermarket and the assistant manager may help the new employee.
hurry .
Answer:
b the answer
Step-by-step explanation:
Answer:
Answer is B
Step-by-step explanation:
Please help needs to be rounded to the nearest hundredth
Answer: 0
Step-by-step explanation:
11 + 11= 22
22 is rounded to the nearest hundredth, which is not 100, so its 0
y = -4x – 5
y = 3.x – 2
Is (3, 7) a solution of the system?
Answer:
no
Step-by-step explanation:
this is because
-12-5=-17
-28-2= -30
The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.
Rule C gives the monthly cost, in dollars, of using gigabytes of data on Company C’s plan. Rule D gives the monthly cost, in dollars, of using gigabytes of data on Company D’s plan.
A. Which is less, C(4)or D(4)? What does this mean for the two phone plans?
B. Which is less, C(5)or D(5)? Explain how you know.
ANSWER-
C(g) = 10 + 15g
C'(g) = 80
The monthly charges of Company C for using 2 Gigabyte of data usage.
Step-by-step explanation:
The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.
Now, the monthly cost in Company C for using g gigabyte of data will be
C(g) = 10 + 15g ........ (1)
Again, the monthly cost in Company D for using g gigabyte of data will be
C'(g) = 80 ......... (2)
Now, from equation (1), the statement C(2) = 10 + 15 × 2 = 40, means that monthly charges of Company C for using 2 Gigabyte of data usage. (Answer)
help, i will do brainliest!!!
a)
Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b)
Four gallons of water weigh 33.4 lb
Find the constant of variation.
Answer:
a) 62.625 lb
b) 8.35
Step-by-step explanation:
a)
Use a proportion.
4 gal is to 33.4 lb as 7.5 gal is to x lb.
4/33.4 = 7.5/x
4x = 33.4 * 7.5
4x = 250.5
x = 62.625
Answer: 62.625 lb
b)
33.4/4 = 8.35
1) Cost of 7.5 gallons of water = 62.63 lb
2) The constant of variation = 8.35 lb
We have to given that,
1) Cost of 4 gallons = 33.4 lb
2) And, Cost of 4 gallon of water = 33.4 lb
Hence, We can simplify it as,
1) Since, Cost of 4 gallons = 33.4 lb
Hence, Cost of 7.5 gallons = 7.5 × 33.4 / 4 lb
= 62.63 lb
2) Since, Cost of 4 gallon of water = 33.4 lb
Hence, the constant of variation = 33.4 / 4
= 8.35
Learn more about the divide visit:
https://brainly.com/question/28119824
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What is the slope of the line that passes through 9,5 and 4,5
Answer:
0
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (5 - 5) / (4 - 9)
= 0 / -5
= 0
Answer:
(5,0
Step-by-step explanation:
Complete the equation that represents the total value of the nickels and p pennies
Answer:
Answers below
Step-by-step explanation:
Equation
Let's call:
p = number of pennies Janesa has in her pocket
n = number of nickels Janesa has in her pocket
She has 24 coins in total, thus:
[tex]p + n=24\qquad\qquad [1][/tex]
Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:
[tex]0.01p+0.05n=1[/tex]
Multiplying by 100:
[tex]p+5n=100\qquad\qquad [2][/tex]
A. Completing the equation:
[tex]5n+p=100[/tex]
B.
From [1]:
[tex]p=24-n[/tex]
Substituting into [2]:
[tex]24-n+5n=100[/tex]
Simplifying:
[tex]24+4n=100[/tex]
Rearranging:
[tex]4n=100-24=76[/tex]
[tex]n=76 / 4= 19[/tex]
[tex]p=24-19=5[/tex]
B. There are 5 pennies in Janesa's pocket
C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05
The total value of the pennies is $0.05
D. The total value of the nickels is 19*$0.05 = $0.95
E. Jackson should say she has 19 nickels and 5 pennies
janesa has 24 coins in her pocket worth exactly $1.00. she tells her younger brother jackson that he can have the coins if he correctly guesses how many of each coin she has. she gives him the hint that there are only nickels and pennies. complete the equation that represents the total value of the nickels and p pennies 5( blank ) + p = 100 The type of coins that Janessa has = nickels and pennies.
Janessa has a total number of 24 coins
The sum of the nickels and pennies = $1.00
Let us represent the number of nickels as x
The number of pennies as y
Max pays a flat rate of $85 for his cell phone. He is also charged $0.15 for every text that he sends. His cell phone bill can be no more than the amount he has budgeted for it each month. If x represents the number of texts and y represents his budgeted amount, which inequality represents Max's cell phone budget each month? (3 points)
a $0.15x + $85 ≥ y
b $0.15x + $85 ≤ y
c $0.15x - $85 ≥ y
d $0.15x - $85 ≤ y
Chris is saving money for his ski trip. He has $62.50,
but his goal is to save at least $200. What is the least
amount Chris needs to save to reach his goal?
a. type the inequality that represents the situation below.
b. solve the inequality to the right.
James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account. How much money was in the account after 2 1/2 years? Round your answer to the nearest cent.
Answer:
$654.06
Step-by-step explanation:
ジオメトリヘルプミープリーズは、速くて正しい場合に最も頭が良くなります
関係のドメインは？ 1）関係の出力（y）値2）関係の入力（x）値3）入力値をペアにするポイントのセット…
f（x）= 16 – x ^ 2、g（x）= 4 –xとします。 （fg）（x）とその定義域を見つけます。
助けてくださいお願いします
助けてください
Answer: the answer would be 79.06
Step-by-step explanation:
can you plz give me more of an anser
Answer:
peepeepoopoo check
Step-by-step explanation:
Try These questions out and I’ll give you brainliest My friends
Answer:
question 10 is B
Step-by-step explanation:
Is 2/15 and 3/30 proportional
Answer:
No
Step-by-step explanation:
To turn 15 into 30, you multiple 15*2=30.
If you do that to the bottom of the fraction, you should be able to do it to the top however, 2*2=4 not 3 so they are not proportional.