Answers
Answer:
PAGE 1
8.) d
9.) b
PAGE 2
6.) b
7.) d
PAGE 3
4.) c
5.) a
PAGE 4
1.) c
2.) c
3.) a
PAGE 5
10.) b
11.) d
Step-by-step explanation:
PAGE 1
8.) x - 20 + x + 10 = 180 (collect like terms)
2x - 10 = 180 (add 10 on both sides)
2x = 190 (divide by 2 on both sides)
x = 95
9.) 2y + y = 180 (collect like terms)
3y = 180 (divide by 3 on both sides)
y = 60
x = y ----> x = 60
PAGE 2
6.) 16x - 6 = 90 (add 6 on both sides)
16x = 96 (divide by 16 on both sides)
x = 6
7.) 5x + 30 = 7x (subtract 5x on both sides)
30 = 2x (divide by 2 on both sides)
15 = x
PAGE 3
4.) <8 and <16 are corresponding angles
5.) 180 - 130 = 50
PAGE 4
1.) HD and GE are skew lines
2.) AC, EG, and BD are parallel to FH
3.) EF, GH, and BF are perpendicular to FH
PAGE 5
10.) | and || only are the only ones correct
11.) l || m, by the Converse of the Consecutive Interior Angles Theorem.
b/c the two angles equal 180 together and one angle is on line l and the other is on line m. This shows they're parallel.
Hope this helps ya!!
Related Questions
Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10
Answers
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.)
Answers
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
Find two numbers with sum 82 and difference 30.
Answers
Answer: I think it would be 112.
Step-by-step explanation:
One 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
Answers
Answer:
C. Obtuse
Step-by-step explanation:
express the scientific notation:4830000000 with all formula
Answers
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
Calculate simple interest : $125. 4 years, at 10% interest ..(how much is the interest alone?)
Answers
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/26734922brainliest if correct1+1
Answers
Answer:
11
Step-by-step explanation:
:>
Answer:
1+1=2 is the answer
Step-by-step explanation:
mark me as brainlist
0.000603 in scientific notation
Answers
Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?
Answers
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
Dan invests £8200 into his bank account he receives 2% per year compound interest how much will Dan have after 7 years ?
Answers
================================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 8200*(1+0.02/1)^(1*7)
A = 9419.2224747241
A = 9419.22
Note: I assumed the bank is using annual compounding. The instructions didn't mention it, so that's why I went with n = 1. If your teacher or textbook mention otherwise, say monthly compounding, then you'll change n to n = 12. I would ask for clarification.
Evaluate the following expression when n = 6.
|n - 6| - |5 - n|
Answers
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
What is 2/5 ÷ 1/10 = ?
Answers
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)
Answers
=================================================
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
Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x
Answers
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:
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
Answers
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]
Help will give crown
Answers
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
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. Dylan only collects dimes and quarters. Determine how many quarters and how many dimes Dylan has.
Answers
Answer: There are 57 quarters and 33 dimes.
Step-by-step explanation:
let x = Number of quarters
y= Number of dimes
As per given , we have
x+y = 90 (i)
0.25x+0.10y= 17.55 (ii)
Multiply 10 on both sides of (ii)
2.5x+y= 175.5 (iii)
Eliminate (i) from (iii) , we get
1.5x = 85.5
⇒ x= 57
Put value of x in (i) , we get
57+y=90
⇒ y= 90-57
⇒ y= 33
Hence, there are 57 quarters and 33 dimes.
which model represents 1/3
Answers
Answer:2nd one because 2/6=1/3
Step-by-step explanation:
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.
Answers
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
The average person laughs 15 times per day.
Answers
Write a word description of the set.
{−6, −5, −4, −3, −2, −1}
Answers
Hope this helps!
Can someone explain to me how to get the answer:
-3 |2d| = 12
Answers
-3×2d=12
-6d=12
d=12÷(-6)
then d= -2Hope this helps.
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).
Answers
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
which is not solution to the folloeing linear equality
A. (-2, 1)
B. (0, 0)
C. (2, -1)
D. (-9, -9)
Answers
Answer:
B
Step-by-step explanation:
Solve for x.
(x + 13) ft
24 ft
Answers
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
what is the sum of
Answers
Answer:
C
Step-by-step explanation:
What is the discriminate?
Answers
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
Answers
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 graph shows the heigh if a tree ever time. What can you reduce the rate of change to be from 2years to 4years
Answers
Answer:
the question sounds confusing but I believe you would reduce the time or the x value so that the years are reduced.
What is the domain of f(x)=
10x1-(4)
?
Answers
Answer:
Domain:(−∞,∞),{x|x∈R}
Step-by-step explanation: