Answers
Applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
What are the Rules of Exponents?Some of the rules of exponents to be applied are as follows:
[tex]x^0 = 1\\\\x^m \times x^n = x^{(m + n)}\\\\x^{-m} = \frac{1}{x^m} \\\\x^m \div x^n = x^{(m - n)}\\\\[/tex]
What are Equivalent Expressions?If two expressions have the same value, both are said to be equivalent expressions.
1. [tex]3^2 \times 3^{-5} = 3^{2 - 5}\\\\[/tex]
[tex]3^-3 = \frac{1}{3^3} = \frac{1}{27}[/tex]
Answer: H
2. 3³/6² = 27/36 = 3/4
Answer: R
3. [tex]\frac{3^2}{3^5} = 3^{2 - 5} = 3^{-3]} = \frac{1}{3^3} = \frac{1}{27}[/tex]
Answer: M
4. 7²/7² = 49/49 = 7° = 1
Answer: J
5. 8^-2 = 1/8² = 1/64
Answer: A
6. (4²)(4³) = 4^(2 + 3) = [tex]4^5[/tex]
Answer: L
7. (3²)³ = 3²*³ = [tex]3^6[/tex]
8. 4° × 4^-1 = 1 × 1/4 = 1/4
Answer: E
9. [tex]\frac{(2^4)^3}{(2^7)(2^5)} = \frac{2^{12}}{2^{12}}[/tex] = 1
Answer: U
10. [tex](3^2)^{-1} = 3^{-2}[/tex]
Answer: I
11. [tex]1^{98}[/tex] = 1
Answer: D
12. [tex]y^{10} \div y^5 = y^{10 - 5} = y^5[/tex]
Answer: F
13. [tex]8^{-2} \times 8^4 = 8^{(-2 + 4)}[/tex] = 8² = 64
Answer: S
14. [tex]2^{-3} \times 3^{-2} =[/tex] 1/2³ × 1/3² = 1/8 × 1/9 = 1/72
Answer: O
15. [tex]\frac{3^2}{3^2} = 3^{2-2} = 3^0 = 1[/tex]
Answer: N
16. [tex](\frac{1}{2} )^{-1} = (2^{-1})^{-1}[/tex] = 2
Answer: T
Thus, applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
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Related Questions
can I have some help? I don't understand this
Answers
Answer:
15
__
28
Step-by-step explanation:
just multiply top by bottom
5*3 15
___ = ____
7*4 28
Answer:
the answer is 15/28
Step-by-step explanation:
if you multiply the numerators 5 and 3, you get 15. then you have to multiply the denominators 7 and 4 to get 28
Solve for x:
4x – 7 = 8x + 33
Answers
Answer:
x = 10
Step-by-step explanation:
Hey there!
To solve this question we will use PEMDAS (order of operations)
4x−7=8x+33
Subtract 8x from both sides.
4x−7−8x=33
Combine 4x and −8x to get −4x.
−4x−7=33
Add 7 to both sides.
−4x=33+7
Add 33 and 7 to get 40.
−4x=40
Divide both sides by −4.
x= 40/-4
Divide 40 by −4 to get −10.
x=−10
Deepak randomly chooses two marbles from the bag, one at a time, and replaces the marble after each choice. what is the probability he will choose one green marble and then one red marble? express the probabilities in fraction form. p(green) = p(red) = p(green and red) =
Answers
Probability of an event measures its chance of occurrence. P(Green in first draw) = 5/14, P(Red in second draw) = 2/14. P(Green in first and red in second draw) = 5/98
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
How to find if two events are independent?Suppose that two events are denoted by A and B.
They are said to be independent event if and only if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
It is because
[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]
and therefore, using chain rule and above facts gives:
[tex]P(A \cap B) = P(A)P(B)[/tex]
The question is missing some informations, which are:
Total marbles in the bag = 14Total red marbles = 5Total green marbles = 2rest of the 7 marbles are of some other colors.The result of first draw and the second draw are independent of each other as Deepak replaces the marble after first draw, therefore, making no changes in the count of balls of each color in the considered bag, which decides the probability needed.
Now, let we take:
A = probability that Deepak picks green ball in first draw
B = probability that Deepak picks red ball in the second draw
Then, we get:
[tex]P(A) =\dfrac{5}{14}\\\\P(B) = \dfrac{2}{14}\\\\P(A \cap B) = P(A)P(B) = \dfrac{5 \times 2}{14^2} = \dfrac{5}{98}[/tex]
(there are 14 ways to select a ball, but 5 favorable ball for event A to occur, and 2 favorable balls for event B to occur,therefore the aforesaid probabilities.)
Thus, for this case, we get:
P(Green in first draw) = 5/14, P(Red in second draw) = 2/14. P(Green in first and red in second draw) = 5/98Learn more about probability here:
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The graphic shows a sample 401k investment. a sample 401 (k) investment has an annual contribution of 5,000 dollars, employer match of 5 percent, employer contribution of 2500 dollars, and total contribution of 7500 dollars. based on the graphic, what advantage does this 401k have over other types of investments? it encourages employees to contribute by offering an employer bonus. it ensures that employees who contribute will retire with more money. it guarantees employees a return on their investment because of a company match. it incentivizes employees to contribute by offering an employer match.
Answers
The advantage 401k have over other types of investments is:it incentivizes employees to contribute by offering an employer match.
What is 401(k) Investment?401(k) investment can be defined as the process in which an employer enables an employee to save ahead of their retirement.
401(k) investment help to motivate or encourage employee to save for retirement by enabling the employer to as well contribute a certain amount toward the employee retirement .
It as well help to lower the tax amount paid on the amount contributed by an employee based on the fact that the contribution are often deducted before tax.
Therefore the advantage 401k have over other types of investments is:it incentivizes employees to contribute by offering an employer match.
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Answer:
D.) It incentivizes employees to contribute by offering an employer match.
Step-by-step explanation:
use a quadratic function to model the area of each function. graph the function. evaluate each function for x = 8
top of square: 2x + 4, side: x +3
(other question)
top: 3x - 9, side: x + 2
HELP
Answers
Answer:
A=220 and 150 un^2
Step-by-step explanation:
The area for a square is LxW
you have one square with dimensions 2x+4 by x+3 and another with dimensions 3x-9 by x+2
for your first set: A=LxW= (2x+4)*(x+3)
evaluate at x=8: A= (2(8)+4)*(8+3) = 220
second set: A=LxW = (3x-9)*(x+2)
evaluate at x=8: A= (3(8)-9)*(8+2) = 150
The diameter of a circle is 32 cm. Find its area to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
radius=1/22 of 32= 16
Area of a circle
22/7×16×16=805cm2
Tyler wonders what proportion of students at his school would dye their hair blue if their parents would let them. He surveyed a random sample of 10 students at his school, and 2 of them said they would. Kiran didn’t think Tyler’s estimate was very accurate, so he surveyed a random sample of 100 students, and 17 of them said they would.
Based on Tyler's sample, estimate what proportion of the students would dye their hair blue.______
Based on Kiran's sample, estimate what proportion of the students would dye their hair blue.______
Whose estimate is more accurate? Type Tyler or Kiran.______
Answers
Using the proportion concept, it is found that:
According to Tyler's sample, the estimate is of 0.2 = 20%.According to Kyran's sample, the estimate is of 0.17 = 17%.Due to the higher sample size, Kyran's estimate is more accurate.What is a proportion?A proportion is a fraction of a total amount, and larger sample sizes lead to more accurate predictions.
In Tyler's sample, 2 out of 10 students would dye their hair blue, hence:
p = 2/10 = 0.2.
In Kiran's sample, 17 out of 100 would, hence:
p = 17/100 = 0.17.
Due to the higher sample size, as 100 > 20, Kyran's estimate is more accurate.
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Elshaun Works as a painter he charges $25 for each hour he works he also has to buy 100 $ worth of paint if the number of hours worked is represented by H which expression the total amount of money he would charge for his painting work
Answers
Answer:
Step-by-step explanation:this is a very hard question
Write 1.38 as a fraction
Answers
Answer:
69/50
Step-by-step explanation:
138/100
69/50
True or false please help
Answers
Explanation:
The number [tex]\pi[/tex] (read out as "pi") is approximately 3.14
So [tex]3 \times \pi = 3\pi \approx 3*3.14 \approx 9.42[/tex]
On the other hand,
[tex]\sqrt{64} = \sqrt{8^2} = 8[/tex]
So we can see that the original claim is false because [tex]3\times \pi \approx 9.42[/tex] is not smaller than [tex]\sqrt{64} = 8[/tex]. It should be the other way around.
A, b, and c are polynomials, where: a = 3x – 4 b = x 7 c = x2 2 what is a2 – (b c) in simplest form? 8x2 – 25x 7 8x2– 25x 11 10x2 – 25x 7 10x2 – 25x 11
Answers
The expression A² – (B + C) in its simplest form is 8x² – 25x + 7
What is the polynomial?A polynomial function is an expression constructed with one or more terms of variables with constant exponents.
Data obtained from the question
A = 3x – 4, B = x + 7, C = x² + 2, A² – (B + C) =?
The simplest form of the polynomial is given by;
(3x – 4)² – (x + 7 + x² + 2)
9x² – 12x – 12x + 16 – (x + x² + 9)
9x² – 24x + 16 – x – x² – 9
9x² – x² – 24x – x + 16 – 9
8x² – 25x + 7
Hence, the simplest form of the polynomial is A² – (B + C) = 8x² – 25x + 7.
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Answer: A: 8x^2 - 25x + 7
Step-by-step explanation: got it right :)
pat needs 14 sticks of pepperoni to make 28 pizzas.How many sticks of pepperoni are needed to make 36 pizzas
Answers
Answer:
18 sticks of pepperoni
Step-by-step explanation:
In order to solve this problem, we have to find out how many pepperoni sticks are needed for just 1 pizza. If it takes 14 sticks to make 28 pizzas, that means it takes only half a stick to make a single pizza.
Now that we have this information, we can multiply 1/2 by 36 to find out how many sticks of pepperoni are needed to make 36 pizzas.
[tex]\frac{1}{2} * 36\\\\\frac{1}{2} * \frac{36}{1} \\ =\\\frac{36}{2} \\ =\\\frac{18}{1}[/tex]
Therefore, it takes 18 sticks of pepperoni to make 36 pizzas. I hope this helps! Have a lovely day!! :)
check your solution 1=g-3
Answers
Answer:
g = 4
Step-by-step explanation:
1 = g - 3
1 + 3 = g
4 = g
to check:
1 = (4) - 3
1 = 1
correct!
Ryan's friends have organized a treasure hunt. He is using the map below to find the clues. The position of the last clue, which
leads to the treasure, is located at point (-2,4).
6
+
2
2
-2
He figures that the treasure is 3 units either to the east or south of the location of the last clue. Which of these could be the
location of the treasure?
OA. point (1, 4) or point (-2, 1)
OB. point (-5, 4) or point (-2, 1)
OC. point (1, 1) or point (-5,7)
OD. point (1, 4) or point (-2,7)
Answers
Using translation concepts, it is found that the location of the treasure could be given by these following points:
A. point (1, 4) or point (-2, 1)
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
We consider that he is at point (-2,4), hence:
A shift east 3 units leads to point (1,4).A shift south 3 units leads to point (-2,1).Hence option A is correct.
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#SPJ1
Ms. Sampson tells her class to write an equivalent fraction for 1/2. Lucy writes 3/8 and Tim writes 4/8. Wich student is correct? Explain how you know
Answers
Answer:
Tom 4/8
Step-by-step explanation:
if you simplify 4/8 it will give u 1/2
Hi! I want to solve exercise 13. The question is to say Wich one is not a monomial. Thank you
Answers
Answer:
A monomial is any expression that only contains one term, and terms can only be divided by a plus and a minus sign
So the answer is B and C are not monomials rather they are binomial expressions
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
Answers
Answer:
35 [$]
Step-by-step explanation:
1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;
2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;
3) using the two above it is possible to make up the system of two equations:
[tex]\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.[/tex]
4) finally, the have together 10+25=35 doll-s.
Jacky and Peter had a total of 70 dolls altogether.
What is an equation?A equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of Jack doll and y represent Peter doll, hence:
x - 15 = y + 15 (1)
Also:
(5/7)(x + y) = x (2)
From both equations:
x = 50, y = 20
x + y = 50 + 20 = 70
Jacky and Peter had a total of 70 dolls altogether.
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College Math- Probability (Help appreciated!!!!) (please no links! :) )
A pair of fair dice is rolled. E is the event that the first dice rolls a 3 and F is the event that the sum of the two dice is 6. Are E and F independent events?
Answers
Answer:no they are not independent
Step-by-step explanation:
1) in order for events to be independent the probability of E happening should equal the probability of E happening given that F has already happend
2) P(E)=1/6 (on 6 sided die there is only 1 face that has 3 hence probability of e occurring is 1/6) or .167
3) P(E | F) read as probability of E happening given F has occurred
(Probability of E * probability of F) / total number of outcomes in F
probability of F= 1/6 as there is only one face(3) which will make the sum of the 2 die 6
(1/6)(1/6)/6=0.004
P(E)= .1167
P(E| F) =.004
hence probability aren't equal as making F happen impacts E'E's chances
ANOTHER way to think about this is if E rolls a 3 then the only way to make the sum of the 2 dice equal 3 is if die 2 rolls 3 as well. Hence the pprobability Of the second outcome tht sum of 2 die=6 depends on the number the first die lands
if a person travels 1/4 miles in 1/6 hour,how fast are they traveling in miles per hour
Answers
Answer:
3/2 or 1.5 miles per hour
Step-by-step explanation:
Speed Formula:
[tex]\displaystyle \large{s=\dfrac{d}{t}}[/tex]
speed = distance/time
Given:
Distance = 1/4 milesTime = 1/6 hourTherefore:
[tex]\displaystyle \large{s=\dfrac{\dfrac{1}{4}}{\dfrac{1}{6}}}\\\displaystyle \large{s=\dfrac{1}{4}\cdot 6}\\\displaystyle \large{s=\dfrac{6}{4}}\\\displaystyle \large{s=\dfrac{3}{2} \ \tt{miles/hour}}[/tex]
Therefore, they are traveling 3/2 or 1.5 miles per hour.
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
80
4
85
6
90
9
95
6
100
8
Answers
I believe the answer is 48.3
Step-by-step explanation:
sorry if I'm wrong
As a new year's resolution, jimmy has agreed to pay off his 4 credit cards and completely eliminate his credit card debt within the next 12 months. listed below are the balances and annual percentage rates for jimmy's credit cards. in order to pay his credit card debt off in the next 12 months, what will jimmy's total minimum credit card payment be?
Answers
The percentage shows that the value of Jimmy's total minimum credit card payment will be $411.25.
How to compute the minimum value?From the complete information, the balances and annual percentage rates for Jimmy's credit cards are given.
Therefore, the minimum amount for the credit card will be $411.25. This will be necessary to pay his credit card debt off in the next 12 months.
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ens
00
A painter charges $15.47 per hour, plus an additional amount for the supplies. If he made $158.31 on a job where he worke
5 hours, how much did the supplies cost?
$90.96
Answers
(15.47 x 5) + x = 158.31
77.35 + x = 158.31
x = 158.31 - 77.35
x = 80.96
Ellen is decorating a ballroom ceiling with garland. If the rectangular ceiling is 48 feet by 64 feet, how much garland will Ellen need to reach from one corner of the ceiling to the opposite corner
Answers
Need help 10 points
Answers
Because when the circle isn’t bolded in, then it is less than or greater than depending on which way the line is going.
Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships
and grants each year, and he will earn $1,900 each year through a work study program.
Jamal's family will contribute $21,000 each year. How much will Jamal need to
contribute?
Jamal's family will contribute $21,000 each year. How much will Jamal need to
contribute?
Type your answer.
3.
1 noint
Answers
if i have 37 test and i do 12 test a week how many weeks its gonna take
Answers
Answer:
4 weeks
Step-by-step explanation:
Answer:
well if i am correct 25 weeks (correct me if i am wrong please lol.)
Step-by-step explanation:
There are twenty-three apples and seventeen oranges in a fruit basket. How many
more apples are there than oranges?
Answers
Answer:
6 apples
Step-by-step explanation:
23 apples - 17 oranges
23 - 17
= 6
6 apples more than oranges
please vote brainliest and follow me
Can SOMEONE HELP???
65 BRAINLIEST!
Answers
Answer: m<CBE = 129°
Step-by-step explanation:
we know that,
m<CBE = (14x + 17)°
m<FEH = (19x -23)°
since L║m,
m<CBE = m<FEH
(14x + 17)° = (19x -23)°
through the above equation we formed, we find the value of x :
14x + 17 = 19x -23
19x - 14x = 17 + 23
5x = 40
x = 40/5
x = 8
now we put the value of x in the m<CBE :
m<CBE = (14x + 17)°
m<CBE = ( 14(8) + 17 )°
m<CBE = ( 112 + 17)°
m<CBE = 129° Answer...
hope that helps...
HELP HURRY PLEaSE THIS IS IMPORTANT!
Answers
Answer:
LMJ and KJM
Step-by-step explanation:
alternative interior
this means, they're on opposite sides of the line-break, and are inside the parallel lines.
hope this helps.
An object falls from a window. the distance the object has traveled, d, varies jointly with the acceleration due to gravity and the square of the time elapsed. the object has fallen 5.929 meters in 1.1 seconds, and the acceleration due to gravity is 9.8 meters per second squared. assuming the object continues to fall and the acceleration due to gravity remains the same, what is the total distance the object travels in 2 seconds? 10.8 m 19.6 m 21.6 m 39.2 m
Answers
The total distance the considered fallilng object travels in 2 seconds is given by: Option C: 19.6 m
What are equations of motion?There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.
They are listed below as:
[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]
where the symbols have following meanings:
u = initial velocity of the considered objectv = final velocity of the objecta = acceleration of the objects = distance traveled by the object in 't' time.Here, assuming negligible air resistance, and ideal situations, the free fall of the considered object can be modeled by these equations of motion.
Here, according to sign convention, we have:
[tex]a = -g = -9.8 \: \rm m/s^2[/tex]
Due to free fall, we have: [tex]u = 0[/tex]
Thus, the net displacement (taking the window as origin) is given by equation:
[tex]s = \dfrac{-gt^2}{2}[/tex]
The distance that object traveles in 2 seconds is the absolute displacement it gets in 2 second of freefall.
This is obtained as:
[tex]D_2 =|s|_2 = \left| \dfrac{-9.8 (2)^2}{2} \right| = 19.6 \: \rm m[/tex]
Thus, the total distance the considered fallilng object travels in 2 seconds is given by: Option C: 19.6 m
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