Answer:
-1 > -2
Step-by-step explanation:
-9 ÷ (3(3) > -2
-9 ÷ 9= -1
-1 > -2
this is true
Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x
Answer:
Let's solve your inequality step-by-step.
3600+1.02x<2000+1.04x
Step 1: Simplify both sides of the inequality.
1.02x+3600<1.04x+2000
Step 2: Subtract 1.04x from both sides.
1.02x+3600−1.04x<1.04x+2000−1.04x
−0.02x+3600<2000
Step 3: Subtract 3600 from both sides.
−0.02x+3600−3600<2000−3600
−0.02x<−1600
Step 4: Divide both sides by -0.02.
−0.02x
−0.02
<
−1600
−0.02
x>80000
Step-by-step explanation:
express the scientific notation:4830000000 with all formula
Answer:
4.83 * 10^9
Step-by-step explanation:
Here, we want to express the given number in scientific notation
What we have to do here is to place the decimal number at the back of the first non zero number
The first non zero number is 4
So
let us count the number of digits after the first non zero number
That will be 9
So we make this the power of 10
And our answer will be;
4.83 *10^9
What is the domain of f(x)=
10x1-(4)
?
Answer:
Domain:(−∞,∞),{x|x∈R}
Step-by-step explanation:
Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =
Answer:
I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.
The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.
To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.
Given the step function:
g(x) =
-4, x < -1
-1, -1 ≤ x < 2
3, 2 ≤ x < 4
5, x ≥ 4
Let's evaluate the step function for each input:
g(-2):
Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.
g(2):
Since 2 is less than or equal to 4, the condition for the second interval is satisfied. Therefore, g(2) = 3.
g(5):
Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.
Hence, we have:
g(-2) = -4
g(2) = 3
g(5) = 5
Learn more about the functions here:
brainly.com/question/12431044
#SPJ2
Calculate simple interest : $125. 4 years, at 10% interest ..(how much is the interest alone?)
Here we have been clearly given with Principal, time period and rate of interest.
Principal (P) = $125Rate (R) = 10%Time (T) = 4 yearsWe have to calculate the simple Interest.
As we know that simple Interest is calculated by the formula :
[tex]\pink{\boxed{\sf{S.I. \: = \: \dfrac{P \times R \times T}{100}}}} \: \bigstar[/tex]Where,
S.I. is simple Interest R is rate of interest T is timePutting the values :
[tex]: \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 10 \times 4}{100}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times \cancel{10} \times 4}{ \cancel{100}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 1 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{ \cancel{125} \times 4}{ \cancel{10}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 4}{ 2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times \cancel{4}}{ \cancel2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 2}{1}} \\ \\ : \: \implies \: \sf{S.I. \: = \: 25 \times 2} \\ \\ : \: \implies \: \red{\bf{S.I. \: = \: 50}} [/tex]
Visit more :
https://brainly.com/question/26734922One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help
Answer:
C. Obtuse
Step-by-step explanation:
Consider a political discussion group consisting of 8 Democrats, 4 Republicans, and 2 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting no Democrats
Answer:
The probability is 30/182
Step-by-step explanation:
The total number of people to select from is
8 + 4 + 2 = 14
We want to select two who are not democrats
Probability of selecting first one who is not a democrat will be 6/14
Probability of selecting a second who is not a democrat will be 5/13
So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182
The average person laughs 15 times per day.
0.000603 in scientific notation
Evaluate the following expression when n = 6.
|n - 6| - |5 - n|
Answer:
-1
Step-by-step explanation:
1. Substitute n with 6 because n=6
2. Then you simply solve both sides so (6-6)-(5-6) because n=6
3.so then you get the absolute value of 0 subtracted by the absolute values of -1
4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1
5. So the final answer is -1
Sorry if this was confusing, I’m really bad at explaining. :)
Answer:
|n-6|-|5-n|
=|6-6|-|5-6|
=|0|-|-1|
=0-1
=-1
Find two numbers with sum 82 and difference 30.
Answer: I think it would be 112.
Step-by-step explanation:
Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10
Answer:
−4x^3+12
Step-by-step explanation:
2+3x^3-7x^3+10
simplify this
−4x3+12
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) nothing, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)
Answer:
a) The exponential growth function
P(t) = 5,690,000(1.0287)^t
b) 6,742,868.7374 million
c) 12.04 years
d) 2439.0243902
Step-by-step explanation:
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.
The formula for exponential growth is given as:
P(t) = Po( 1 + r) ^t
Where P = Population size after time t
Po = Initial population size
r = Growth rate in percentage
t= time in years
a) Find the exponential growth function.
P(t) = Population size after time t
Po = Initial population size = 5.69 million
r = Growth rate in percentage = 2.87% = 0.0287
t= time in years
The Exponential growth function
P(t) = 5,690,000(1 + 0.0287)^t
P(t) = 5,690,000(1.0287)^t
b) Estimate the population of the city in 2018.
From 2012 to 2018 = 6 years
t = 6 years
Hence,
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^6
P(t) = 5,690,000(1.0287)^6
P(t) = 6,742,868.7374 million
c) When will the population of the city be 8 million?
P(t) = 8,000,000
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1.0287)^t
Divide both sides by 5,690,000
8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000
= 1.4059753954 = 1.0287^t
Take logarithm of both sides
log 1.4059753954 = log 1.0287^t
Log 1.4059753954 =t Log 1.0287
t = Log 1.4059753954/Log 1.0287
t = 12.041740264
t = 12.04 years
d) Find the doubling time.
The formula is given as 70/Growth rate
= 70/0.0287
= 2439.0243902
Will is buying a house for $185,000. He is financing $165,000 and obtained a 30-year, fixed-rate mortgage with a 6.725% interest rate. How much are his monthly payments? (2 points)
=================================================
Work Shown:
L = 165000 = loan amount or amount financed
r = 0.06725 = annual interest rate in decimal form
i = r/12 = 0.06725/12 = 0.005604167
i = 0.005604167 = approximate monthly interest rate in decimal form
n = number of months = 30*12 = 360 months
P = unknown monthly payment
--------------
Apply the monthly payment formula
P = (L*i)/( 1-(1+i)^(-n) )
P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))
P = 1067.44636311118
P = 1067.45
Error Analysis
On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?
The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)
What error might Jake have made?
A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).
The coefficient(s) of the expression is/are 7, 1
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are 8
(Use a comma to separate answers as needed.)
What error might Jake have made?
OD. Jake did not include the coefficient 1.
Click to select your answer's
A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150
Answer:
A
Step-by-step explanation:
y = -3x + 150
I hope this is right.
Solve for x.
(x + 13) ft
24 ft
Answer:
x = 9.
Step-by-step explanation:
If you meant (x + 13) = 24, then we first must subtract 24 by 13.
24 - 13 = 9
Now, check your work by replacing the "x" with 9.
(9+ 13) = 24
24 = 24 <----- This is a true statement.
Therefore, x = 9.
Hope this helps! :D
Write a word description of the set.
{−6, −5, −4, −3, −2, −1}
which is not solution to the folloeing linear equality
A. (-2, 1)
B. (0, 0)
C. (2, -1)
D. (-9, -9)
Answer:
B
Step-by-step explanation:
Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?
Answer:
Huilan is 12 and Thomas is 6
Step-by-step explanation:
Answer:
thomas is 6 years old
Step-by-step explanation:
if he is 6. 6x2=12 +6 =18
What is the discriminate?
You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?
A: 40
B: 3,360
C: 4,096
D: 32,768
Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:
[tex]First = 8\ marbles[/tex]
[tex]Second = 8\ marbles[/tex]
[tex]Third= 8\ marbles[/tex]
[tex]Fourth = 8\ marbles[/tex]
[tex]Fifth = 8\ marbles[/tex]
Total number of ways is then calculated as:
[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]
[tex]Total = 32768[/tex]
You created new playlist, and 100 oi your friends listened to it and shared if they liked the new playlist or nat. Nadhii said the ratio of the number of people who liked the playlist ta the number of people who did nat like the playlist is 75:25. Dylan said that three people who liked the playlist, one person did not. Nadhii and Dylan agree? Prove your answer using the values of the ratios.
Answer:
Yes, Nadhii and Dylan agree
Step-by-step explanation:
You created a new playlist, and 100 of your friends listened to it and shared if they liked the new playlist or not. Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25. Dylan said that for every three people who liked the playlist, one person did not.
Do Nadhii and Dylan agree? Prove your answer using the values of the ratios.
Total number of friends who listened = 100
Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25.
Nadhii
Number of people who liked the playlist : Number of people who did not like the playlist
= 75 : 25
= 75 / 25
= 3/1
= 3 : 1
Dylan said that three people who liked the playlist, one person did not.
Number of people who liked the playlist : Number of people who did not like the playlist
= 3 : 1
Yes, Nadhii and Dylan agree
Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes
Answer:
34
Step-by-step explanation:
Subtract and divide
The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
With company x, it cost 35 cents to connect and then 5 cents for each minute.
And, With company y, it cost 15 cents to connect and the 4 cents for each minute.
Now,
Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.
Hence, The cost for n minutes with company x is,
⇒ 35 + 5n
And, With company y, it cost 15 cents to connect and the 4 cents for each minute.
Hence, The cost for n minutes with company y is,
⇒ 15 + 4n
Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)
= 35 + 5n - 15 - 4n
= (20 + n) cents
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
Can someone explain to me how to get the answer:
-3 |2d| = 12
-3×2d=12
-6d=12
d=12÷(-6)
then d= -2Hope this helps.
plzzz help me with this
Help will give crown
G and H are 5 units apart.
G is at (-3, -4), and H is at (2, -4)
-3 and 2 are 5 units apart, -3+5=2. 2-5=-3
Can somebody plz answer this math problem correctly thanks!
WILL MARK BRAINLIEST :D
Answer:
Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake
Stephen scored a .84 or an 84%
I hope this helps :)
Step-by-step explanation:
plz mark B R A I N L I E S T
Answer:
Stephen: 21
Ellen: 20
Blake: 20
Step-by-step explanation:
If youre looking for more in depth answers:
Stephen received a 21 / 25 (84%)
Ellen received a 20 / 25 (80%)
Black received a 20 / 25 (80%)
which model represents 1/3
Answer:2nd one because 2/6=1/3
Step-by-step explanation:
What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?
Answer: C :>
Step-by-step explanation:
Answer:
the answer is number 3