Step-by-step explanation:
−1,
2
−1
]∪[0,
2
1
]∪{1}
For f to be defined 2{x}
2
−3{x}+1≥0
({x}−1)(2{x}−1)≥0
⇒{x}∈(−∞,
2
1
)∪[1,∞)
But we know, {x}∈[0,1)
Thus {x}∈[0,
2
1
)→(1)
Also given that x∈[−1,1]
Hence required domain is [−1,−
2
1
]∪[0,
2
1
],∪{1}
Note {−x}=1−{x}
Evaluate each expression.
Answer:
125/343
Step-by-step explanation:
This question asks for us to evaluate: (5/7)³
When a number has an exponent, the number gets multiplied by itself according to the amount of the exponent.(5/7)³
- 5/7 x 5/7 x 5/7
= 25/49 x 5/7
= 125/343
Which points are located on this graph?
On a certain trip, a traveler is driving at a constant rate of 85 km/hour. At that rate, the number of minutes needed to complete the last 43 kilometers of the trip is between
a. 20 and 25
b. 25 and 30
c. 30 and 35
d. 35 and 40
e. 40 and 45
Answer:
30 and 35
Step-by-step explanation:
Distance covered of 85km=1hour=60minutes
Distance covered of 1km=60minutes/85km
Distance covered of 43km=60mins/85km × 43mins
= 30.35mins
Note:If you need to ask question about it I'll reply gladly
HELP ASAP I NEED IT RN
A bag has 3 red marbles, 2 blue, 4 greens and 1 yellow. What is the probability of pulling a red, putting it back
in the jar and then pull a blue?
Show Your Work
6
4
+
8
4
=start fraction, 4, divided by, 6, end fraction, plus, start fraction, 4, divided by, 8, end fraction, equals
Step-by-step explanation:
Not sure if I'm right or not but I think your question is
6/4 + 8/4
so I'll solve now
6/4 + 8/4 .........look for the common denominator (4)
6+8/ 4
14/ 4
In decimals = 3.5
In fractions =7/2
what is the odd number?
Step-by-step explanation:
A whole number that is not able to be divided by two into two equal whole numbers. Example: 1, 3, 5, and 7 are odd numbers
Rational number between 3.623623 and 0.484848
Answer:
1
Step-by-step explanation:
A rational number between 3.623623 and 0.484848 is 1.
Answer:
Remember: rational numbers are numbers that can be written as fractions and decimals that either terminate or repeat. Here are some rational numbers:
0.5, 3/4, 1, 1.5...3, 3.5
Step-by-step explanation:
BRAINLIEST, PLEASE!
What is the value of U. 51degrees, 79degrees and u.
Hi ;-)
[tex]u+51^o=79^o\\\\u=79^o-51^o\\\\\huge\boxed{u=28^o}[/tex]
The required equation is,
→ 51° + U = 79°
Now we should,
find the required value of U.
→ 51° + U = 79°
→ U = 79° - 51°
→ [U = 28°]
Let's check whether the required value of U is correct or incorrect,
→ 51° + U = 79°
→ 51° + 28° = 79°
→ 79° = 79°
→ LHS = RHS
Hence, 28° is the required value of U.
There are 504 calories in eight ounces of a certain ice cream. How many calories are there in one pound
Answer:
1008 calories
Step-by-step explanation:
one pound = 16 ounces
16 ÷ 8 = 2
504 × 2 =
1008
A flowerbed is to be 3m longer than its width.the flowerbed will have an area of 70m²
-t = 9 (t - 10)
what is t?
Answer: t = 9
Step-by-step explanation:
Given
-t = 9 (t - 10)
Expand parentheses and apply the distributive property
-t = 9 · t - 9 · 10
-t = 9t - 90
Subtract 9t on both sides
-t - 9t = 9t - 90 - 9t
-10t = -90
Divide -10 on both sides
-10t / -10 = -90 / -10
[tex]\boxed{t=9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
We can calculate the volume V of a rectangular prism using V = lwh, where l is the length, w is the width, and h is the height of the
prism. Suppose that a prism has a volume of 200 cm and l = 2w.
a. Select all of the equations that rewrite the volume formula by making substitutions for V and l.
200 = 2w²h
200 = 4wh
V = 22
2w xwxh = 200
Answer:
Step-by-step explanation:
200=2w²h
The equations are -
200 = 2[tex]w^{2}[/tex]h
2w x w x h = 200
We have a prism and the formula to calculate its volume is given.
We have to select all of the equations that rewrite the volume formula by making substitutions for V = 200 cubic centimeter and L = 2w.
What is Prism ?A Prism is a three-dimensional shape, which consists of two identical polygons, which do not lie in the same axis.
According to the question, we have -
Volume of Prism = 200 cubic centimeter
L = 2w
The formula to calculate the volume of prism equals to -
V = Lwh
Substituting values, we get -
200 = 2[tex]w^{2}[/tex]h
or
2w x w x h = 200
Hence, the equations are -
200 = 2[tex]w^{2}[/tex]h
2w x w x h = 200
To solve more questions on prism, visit the link below-
https://brainly.com/question/17619973
#SPJ2
Prove cot(− θ) =− cot(θ)
Step-by-step explanation:
steps are in the picture.
Note:If you need to ask question about it ,i can make you understand.thanks
Show work please
[tex]4 \sqrt{9} [/tex]
Answer:
12
Step-by-step explanation:
[tex]4 \sqrt{9} [/tex]
[tex] \sqrt{9} = \sqrt{ {3}^{2} } = 3[/tex]
[tex]4 \times 3[/tex]
[tex] = 12[/tex]
I have no clue on how to do this someone help me out
Answer:
B
Step-by-step explanation:
Substitute x = 5 into the expression
[tex]\frac{4(5+5)(5+1)}{(5+3)(5-3)}[/tex]
= [tex]\frac{4(10)(6)}{8(2)}[/tex]
= [tex]\frac{240}{16}[/tex]
= 15 → B
Answer:
15
Step-by-step explanation:
Numerator ; 4(X+5)(X+1)
substitute : X=5
The first expression becomes : 4(5+5)(5+1)
= 4(10)(6)
=4×10×6
=240
Denominator : (X+3)(x-3)
substitute: X=5
=(5+3)(5-3)
=(8)(2)
=16
Now, Dividing the numerator by the denominator we have 240÷16=15
Evaluate this expression. − 4/5 − (− 2/5 ) + 4/7
A) − 22/35
B) − 3/5
C) 6/35
D) 2
Answer:
c) 6/35
Step-by-step explanation:
− 4/5 − (− 2/5 ) + 4/7
= − 4/5 + 2/5 + 4/7
= 6/35
Answer:
The choose C. 6/35
Step-by-step explanation:
[tex] - \frac{4}{5} + \frac{2}{5} + \frac{4}{7} \\ \frac{ - 28 + 14 + 20}{35} = \frac{6}{35} [/tex]
Can someone help plz?
Use the diagram to the right.
If AD = 13 and AC = 5y - 64, find the value of y. Then find
AC and DC.
Help please! Need answer!! Not test!!!
There are two ways to list the angles:
1) Simply name them based on the points:
∠W , ∠X , ∠Y , ∠Z
2) The way that I believe that you are supposed to list them in this case. List them as such:
∠WYZ , ∠YZX , ∠ZXW , ∠XWY
~
The circumference of a circular track is 154 m find the diameter of the track.
Answer:
diameter of the track=49.02m
Answer:
49.04m
Step-by-step explanation:
stpes are in picture below
a number is less than or equal to -8
Answer:
-8, -9, -10, -100, -999, -999.99 etc
Step-by-step explanation:
Anynumber below or same as -8
Simplify the following expression .
Answer: 3m + 28
———————
4
Tom makes a bet with his friend Bob. Bob wagers $100, but Tom decides to make him a deal. If Bob wins, Tom will pay him $100. If Tom wins, Bob will instead pay $1 for the first day, then every day for 10 days he must match the total amount paid so far.
For the first day, Bob will pay $1. The second day, he will pay an additional dollar, since he has only paid $1 thus far. The third day he will pay $2, the fourth $4, and so on.
If Bob has a 75% chance to win, which of the following is the closest to the amount of money Tom will make on average with this bet?
Possible Answers:
A. -$25
B. $50
C. $0
D. $25
E. $100
Answer:
B
Step-by-step explanation:
A train leaves Chicago for Los Angeles going a constant rate of 40 MPH. Two hours later, another train leaves Chicago for Los Angeles on the same track as the first going a constant rate of 60 MPH.
1. When will the 2nd train catch up to the first train?
2. How many miles will the trains have traveled when they meet?
Answer:
1 . 4 hrs , 2 . total 400 miles because the first train had travelled 160 miles and 2nd one had travelled 240 miles
Step-by-step explanation:
in 1. use relative motion concept I. e. you sir on 1st train and put velo. of same mag. and in oppo. direction on the train on which you have sit and do the same with the velocity only with 2nd train means you stop the train on which you are sitting and put the velocity of the train on which you are sitting on 2nd train but in oppo. direction , so now the relative velocity comes out to be 20 mph and then apply formula time = Srel / Vrel and here we can find S rel by multiplying the velo. of 1st train by given time I. e. 2 hrs and in 2. multiply the time calculated by us by the velocity of both trains and by which you get the dist. travelled by both trains and then add them to get final answer.
factor & solve please helppp my brain is mush i don’t remember anything
Graph the line y=43x+1.
Answer:
Read explanation Please (I spent alot of time on it and its important to understand where the answer came from not just the answer!)
Step-by-step explanation:
This problem is in the form of y=mx+b where m is the ratio y grows accordinly to x and b is the value of y when x is 0 (mx0 is 0, 0+b is b).
In you problem we can identify that 1 is the y intercept or when x is 0. All we have to do is find another point since 2 points make alike. Let's say x was 1. 43 * 1 +1 = 44 so when x is 1 y is 44.
Our two points are, (0,1)(1,44)
I left a picture of the graphed btw!,
Hoped this helped, Eddie
which of the following is a singleton set?
Step-by-step explanation:
2 option is the answer.
hope it helps
Answer:
ii. is the answer .
Step-by-step explanation:
option ii. is the answer .
PLEASE HELP WILL MARK BRAINIEST
Answer:
They're congruent by Side-Angle-Side (SAS)
Step-by-step explanation:
Midpoint Q makes sides LQ and QN equal, as well as MP and QP, so there's a side, depending on which one you choose.
We're told that angle L = angle N, so there's the equal angle.
Finally, we're told that LM = NP, so there's the other side.
6. Teri estimates that it will cost $200,000 to send his daughter to a private college in 16
years. He currently has $125,000 to deposit in an account. What simple interest rate
would
he need so that $125,000 grows info $200,000 in 16 years? Round to the nearest
percent.
How do I solve this?
The simple interest rate need by Teri will be 4%.
Step-by-step explanation:
Given:
Teri has $125,000 to deposit in his accounts so that he gets $200,000 in 16 years along with the simple interest.
To find:
The simple interest rate needed to grow $125,000 into $200,000 in 16 years.
Solution:
The principle amount Teri has = P = $125,000
The total amount Teri wants to have in 16 years = A = $200,000
The simple interest that will Teri earn = S.I
[tex]S.I= A - P =\$200,000-$125,000=\$ 75,000[/tex]
The rate of interest per year = R
The time for which money is deposited = T = 16 years
The simple interest is calculated by the formula:
[tex]S.I=\frac{P\times R\times T}{100}\\\$75,000=\frac{\$125,000\times R\times 16}{100}\\R=\frac{$75,000\times 100}{$125,000\times 16}=3.75\% \approx 4\%[/tex]
The simple interest rate need by Teri will be 4%.
Learn more about Simple interest here:
https://brainly.com/question/19222840
#learnwithbrainly
Simple interest rate (R) is 3.75%
Given:
Amount deposit as saving (P) = $125,000
Number of year (n) = 16 year
Amount needed (A) = $200,000
Find:
Simple interest rate (R)
Computation:
Amount of interest (I) = A - P
Amount of interest (I) = 200,000 - 125,000
Amount of interest (I) = 75,000
So,
I = (P)(R)(T)
75,000 = (125,000)(R)(16)
75,000 = 2,000,000(R)
R = 75,000 / 2,000,000
R = 0.0375
Simple interest rate (R) = 3.75%
Learn more:
https://brainly.com/question/22004878?referrer=searchResults
Find the GCF of 8 and 12. WIll give brainliest for the best and most clear answer. :)
Answer:
GCF = 4
Step-by-step explanation:
The factors of 8 are: 1, 2, 4, 8
The factors of 12 are: 1, 2, 3, 4, 6, 12
The greatest common factor is 4.
I hope this helps :).
Answer:
4
Step-by-step explanation:
8 = 2 * 2 * 2
12 = 2 * 2 * 3
Since 2 times 2 is common in both the numbers,
Greatest Common Factor = 2 * 2 = 4
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Question in photo. Please explain it too
=============================================================
Explanation:
Let's say that all of the 11 songs are 2 minutes each, which is just a bit under the "2 minute 1 second" mark of the shortest song. I'm going for the lowest time value possible and rounding to the nearest minute.
This would mean the entire album is 2*11 = 22 minutes long. This is the lower bound or the shortest the album can be.
If we go to the other end of the spectrum, and say each song is 6 minutes (I rounded "5 minutes 37 seconds" up to the nearest minute), then the album is now 6*11 = 66 minutes long. This is the upper bound or the longest the album can be.
While we don't know how long the album is exactly, due to the fact we don't know the individual song lengths (other than the shortest and longest songs), we do know 100% that the album length is somewhere between 22 minutes and 66 minutes.
In other words, 22 < x < 66 where x is the album length in minutes.
Of the four answer choices, 44 is the only one that fits, i.e. 22 < 44 < 66.
So I would say 44 minutes is a reasonable estimate. Or better yet, we can rule out 4 minutes, 88 minutes and 10 minutes as they don't fit in the interval 22 < x < 66.