Answers
Answer:
Im not sure about A but other then that B and D have greater values then one
Step-by-step explanation:
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}[/tex]
[tex]\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes[/tex]
Related Questions
According to Newton's Law of Cooling, the temperature T(t) of a hot object, at time t after being placed in an environment with a constant temperature C, is given by T(t)=C+(To-C)e^-kt, where To is the temperature of the object at time t = 0 and k is a constant that depends on the object. If a hot cup of coffee, initially at 190°F, cools to 125°F in 5 minutes when placed in a room with a constant temperature 75°F, how long will it take for the coffee to reach 100°F?
Answers
Answer:
Given the temperature of an object at time t as
-kt f(t) = T. + Ce +
where TO is the environment temperature, C is the difference in temperature of environment and object.
Given a boliling water at 100 degree celsius is placed in a freezer at 0 degree celsius, so we have
To = 0
C = 100 – 0= 100
After 26 minutes the temperature of water is 50 degree celsius.
f(26) = 0 + 100e -26k = 50
100e 26K = 50
-26 e = 0.5
-26%: In e = ln 0.5
-26% = ln 0.5
In 0.5 k= 26
So the temperature of water after 78 minutes will be,
f(78) = 100e -78 In 0.5 26 = = 12.5 =
The temperature of water after 78 minutes will be approximately 12.5 0 C
Step-by-step explanation:
37+78(3)= ???
What is Answer for it ?
Answers
Answer:
271 is the answer of your question
PLZZ HELP!! I just dont understand it correctly
Answers
Answer:
Aidan can expect to save about $17.63 each week.
Step-by-step explanation:
We have an equation: y = 17.63x + 27.52. This equation is in slope-intercept form. In slope-intercept form, the value before the x (in this case, 17.63) is the slope, and the value added to the slope (in this case, 27.52) is the y-intercept.
Right now, though, we only need to focus on the slope. The slope represents a change in y over a change in x. Our y-values represent total amount saved, and our x-values represent number of weeks. Y over x... so, total amount saved over a certain number of weeks.
The first answer seems to match this the best. Remember that the slope represents how much is saved per week, and our slope is 17.63. So, the first answer (Aidan can expect to save about $17.63 each week) is correct. If you have any more questions or that was confusing at all, let me know! :)
If Matilda answers 12 out of 15 problems correctly so far, how many will we answer correctly out of the next 25 if she continues at this rate?
Answers
Answer:
20 questions
Step-by-step explanation:
12/15 can be reduced to 4/5
you can create a ratio like the following:
4/5 = x/25
cross-multiply to get:
5x = 100
x = 20
Is 34/18 greater or less than or equal to 1 5/6
Answers
Answer:
34/18 is greater than 1 5/6.
Step-by-step explanation:
hope this helps. . .<3
good luck! uωu
Answer:
greater than
Step-by-step explanation:
1=6/6 and 6+5=11, so 1 5/6= 11/6
Next, you want to find a common denominator, in this case 18
11/6=x/18
x=33
11/6=33/18
34/18 > 33/18
Evaluate 4c - 3
When c = -2
Answers
Answer:
-11
Step-by-step explanation:
Answer: -5
Step-by-step explanation:
4*-2=-8
-8 -3=-5
Write the numbers in order from least to greatest -4, 5/2, 3, 0, -8/3
Answers
Answer:
-4,-8/3,0,3,5/2
Step-by-step explanation:
im sorry if this is wrong but this is what i think it is .
2 - 2x 4x + 12
------- = ---------
4 3
Answers
[tex]\tt\frac { 2 - 2 x } { 4 } = \frac { 4 x + 12 } { 3 }[/tex]
[tex]\tt3\left(2-2x\right)=4\left(4x+12\right) [/tex]
[tex]\tt6-6x=16x+48 [/tex]
[tex]\tt6-6x-16x=48 [/tex]
[tex]\tt6-22x=48 [/tex]
[tex]\tt-22x=42 [/tex]
[tex]\tt\:x=\frac{42}{-22} [/tex]
[tex]\boxed{\tt\:x = -\frac{21}{11} = -1\frac{10}{11} \approx -1.90}[/tex]
Method used :-
◇ ✖ Cross multiplication ❌
________
Hope it helps ⚜
Step-by-step explanation:
Given equation is [{(2-2x)/4} = {(4x+12)/3]
On applying cross multiplication then
Since, (a/b) = (c/d)
⇛ab = bc
Where, a = (2-2x), b = (4), c = (4x+12) and d = (3).
Now,
⇛3(2-2x) = 4(4x+12)
Multiply the number outside the bracket with numbers and variables in the bracket.
⇛6 - 6x = 16x + 48
Shift the variable value on LHS and constant on RHS.
⇛-6x - 16x = 48-6
Subtract the values on LHS and RHS.
⇛-22x = 42
Shift the value (-22) from LHS to RHS.
⇛x = 42/-22
Write the obtained answer in lowest form by cancelling method.
⇛x = (42÷2)/(-22÷2)
Therefore, x = 21/-11 = -(21/11)
Answer: Hence the value of x for the given problem is -21/11.
VERIFICATION:
If x = -21/11 then the equation is
[{(2-2x)/4} = {(4x+12)/3]
Substitute the value x = -21/11 in expression, then
⇛[{2-2(-21/11)}/4 = {4(-21/11)+12}/3]
Multiply (-2) from (-21) to get 42 on LHS.
⇛[{2(42/11)}/4 = {4(-21/11)+12}/3]
Again multiply 4 from (-21) to get 81 on RHS.
⇛[{2(42/11)}/4 = {(-81/11) + 12}/3]
Take the LCM of the denominator 1 and 11 is 11 on LHS
⇛[{(2*11 + 42*1)/11}/4 = {(-81*1 + 12*11)/11}/3]
Multiply the numerator on both LHS and RHS.
⇛[{(22+42)/11}/4 = {(-81 + 132)/11}/3]
Add the numerator numbers on both LHS and RHS
⇛[{(64/11)}/4 = [{(48/11)}/3]
Now, conver the division fraction in multiply fraction on both LHS and RHS.
⇛[{(64/11) * 4} = {(48/11) * 3}]
Now, write the numbers in Lower form by cancelling method, on both LHS and RHS.
⇛(16/11) = (16/11)
LHS = RHS
Please let me know if you have any other questions.
The Cardinality of this set {7,8,9) includes
a. n(P) = 3
b. n(P) = 6
c. n(P) = 24
d. n(P) = 2
Answers
Answer:
The Cardinality of this set {7,8,9} is n(P) = 8.
Step-by-step explanation:
Because:
n(P) = {{}, {7}, {8}, {9}, {7, 8}, {8, 9}, {7, 9}, {7, 8, 9}}
Hence by the formula 2^k.
where, k = number of elements in the set.
The cardinality is 8.
here is the other question
Answers
Answer:
1. -3 × A1 + A2 --> B2
2. [tex]-\frac{1}{7}[/tex] × B2 --> C2
Step-by-step explanation:
1. -3 × A1 + A2 --> B2
(4x × -3) + 12x = -12x + 5x = -7x
(2y × -3) + 6y = -6y + 6y = 0y
(-10 × -3) + -9 = 30 - 9 = 21
2. [tex]-\frac{1}{7}[/tex] × B2 --> C2
-7x × [tex]-\frac{1}{7}[/tex] = 1x
21 × [tex]-\frac{1}{7}[/tex] = -3
Same process as last time
Find the amplitude of the function
y= -4 sin 1/3x
A. 6pi
B. 4pi/3
C. 4
D. Pi/4
Answers
Answer:
B......................
Oliver and Eva are reading the same book. At the beginning of the month, Oliver was on page 43 and Eva was on page 21. Oliver will read 3 pages per day and Eva will read 5 pages per day. Let O represent the page of the book that Oliver is on at the end of tt days into the month, and let E represent the page of the book that Eva is on at the end of tt days into the month. Write an equation for each situation, in terms of t, and determine after how many days, t, Oliver and Eva will be on the same page of the book.
O=
E=
Answer: ____ days per page
days
pages
pages per day
when you answer the question plz put it how i seated put with the answer next to them with the answer just put one of them
Answers
The number of days that it will take Oliver and Eva to be on the same page of the book is 11 days.
Oliver's equation = 43 + 3tEva's equation = 21 + 5tBased on the information given, the equation to solve the question will be:
43 + 3t = 21 + 5t
Collect like terms
5t - 3t = 43 - 21
2t = 22
t = 22/2
t = 11
Therefore, it'll take them 11 days.
Read related link on:
https://brainly.com/question/25700149
4. If the paint costs $30 per gallon and you need to spend $60 on supplies, and you can
save $45 per month, in how many months will you have enough money for the project?
Answers
Step-by-step explanation:
if I understand this right, then you need paint and additional supplies.
but I don't see any information indicating how many gallons of paint I will need.
so, I can go only with the 1 gallon specified.
so,
1×30 + 60 = $90
we can save $45 per month.
then we need
90 / 45 = 2
months to have enough money.
please update the numbers to how many gallons you really need, and then take that result and divide it by the 45 savings per month.
500 children ages 5-11 were asked the following question:
"Do you read books for fun every day?"
Results are shown in the two-way table below.
Boy Girl Total
Yes 48 75
No 182 195
Total 500
a. In this sample, what proportion of children are boys? (Round your answer to the nearest hundredth)
b. What proportion of boys read books for fun every day? (Round your answer to the nearest hundredth)
c. What proportion of girls read books for fun every day? (Round your answer to the nearest hundredth)
d. Based on the findings, does the likelihood of reading books for fun depend on the gender of a child? Explain.
e. If a child is selected at random, find the probability that the child reads book for fun. (Round your answer to the nearest hundredth)
f. If a child is selected at random, find the probability that the child is a girl AND reads book for fun. (Round your answer to the nearest hundredth)
g. If a child is selected at random, find the probability that the child is a girl OR reads book for fun. (Round your answer to the nearest hundredth)
h. If a child is selected at random, find the probability that the child reads book for fun GIVEN that the child is a girl. (Round your answer to the nearest hundredth)
Answers
500 children ages 5-11 were asked the following question:
"Do you read books for fun every day?"
Results are shown in the two-way table below.
Boy Girl Total
Yes 48 75 123
No 182 195 377
Total 230 270 500
What are proportions?A proportion is the number of desired outcomes divided by the number of total outcomes.
a. Proportion of children that are boys.There are 500 children and 230 are boys.
230/500 = 0.46
b. Proportion of boys who read books for fun every day.There are 230 boys and 48 read books for fun every day.
48/230 = 0.21
c. Proportion of girls who read books for fun every day.There are 270 girls and 75 read books for fun every day.
75/270 = 0.28
d. Does the likelihood of reading books for fun depend on the gender of a child?Based on the results from b and c, it would seem more likely for a girl to read books for fun than for a boy.
e. For a child selected at random, what is the probability that the child reads books for fun?There are 500 children and 123 read books for fun.
P = 123/500 = 0.25
f. For a child selected at random, what is the probability that the child is a girl and reads books for fun?There are 500 children and 75 are girls who read books for fun.
P = 75/500 = 0.15
g. For a child selected at random, what is the probability that the child is a girl or reads books for fun?There are 500 children. The favorable cases are the girls (270) plus the children who read books for fun (123) minus the girls who read books for fun (75).
P = (270 + 123 - 75)/500 = 0.64
h. For a child selected at random, what is the probability that the child reads books for fun given that the child is a girl.There are 270 girls and 75 of them read books for fun.
P = 75/270 = 0.28
a. The proportion of children who are boys is 0.46.b. The proportion of boys who read books for fun every day is 0.21.c. The proportion of girls who read books for fun every day is 0.28.d. It would seem more likely for a girl to read books for fun than for a boy.e. For a child selected at random, the probability that the child reads books for fun is 0.25.f. For a child selected at random, the probability that the child is a girl and reads books for fun is 0.15.g. For a child selected at random, the probability that the child is a girl or reads books for fun is 0.64.h. For a child selected at random, the probability that the child reads books for fun given that the child is a girl is 0.28.Learn more about proportions here: https://brainly.com/question/25259185
PLEASE HELP ME!! I really need the help with this question!!
Answers
A simple way to test if a relation may be taken as a function is by applying the Vertical Line Test. If a Vertical Line crosses the graph only once, then it is a function. In this question, only the first one can be considered to be a function.
Because in other words, only the first graph shows one value for x corresponding to another for y value. Not the case for the second and the third graph displaying two values for x for each y value.
Heyyyyyyyyyyyyyyyyyyyyyyyyyy!
Answers
Simple Arcs and Sectors question attached. First person to answer correctly gets 50 points. Good Luck!!
Answers
Step-by-step explanation:
a=12/56°
b=14/65°
c=238°
What does the Safe Place sign indicate?
Safe Place logo
This is a place where pets can be brought in a crisis
This is a place where adults can go in a crisis
This is a place where kids can go in a crisis
This is a place where members can go in a crisis
Answers
Answer:
This a place where kids can go
Step-by-step explanation:
in crisis
Answer:
This is a place kids can play
Step-by-step explanation:
In crisis
Combining like terms. Solve for b.
15b + 10b = 50
Answers
Answer:
b=2
Step-by-step explanation:
15b+10b=50
25b=50
b=2
Answer:
B is 2 because 10x2=20 and 15x2=30
add those 2 up and get 50
Step-by-step explanation:
Give brainly pls(the crown)
answer.plsssssssssssssssssssssssssssssssssss
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
4(m + 7) = 4 ( divide both sides by 4 )
m + 7 = 1 ( subtract 7 from both sides )
m = - 6
(2)
let the number be n , then
[tex]\frac{3}{5}[/tex] n - 2 = 40 ( multiply through by 5 to clear the fraction )
3n - 10 = 200 ( add 10 to both sides )
3n = 210 ( divide both sides by 3 )
n = 70
The required number is 70
(3)
The 4 sides of a square are congruent , then
length of side = 36 cm ÷ 4 = 9 cm
2 (3m + 1)²
Expand and simplify
Answers
2(9m^2 +6m+1)
Final answer
18m^2+12m+2
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\large\boxed{\mathsf{2(3m + 1)^2}}\\\large\boxed{\mathsf{\rightarrow 2\times (3m + 1)\times 3(3m + 1)}}\\\large\boxed{\text{\bf SIMPLIFY IT}}\ \large\boxed{\ \uparrow}\\\large\boxed{\mathsf{\rightarrow 18m^2+ 12m + 2}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{18m^2 + 12m + 2}}}}\huge\checkmark[/tex]
[tex]\huge\text{\bf Good luck on your assignment \& }\\\huge\text{\bf enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please can some one help me please
Answers
Answer:
a)3
b)33
Step-by-step explanation:
a)10% is the same as 10/100 so 30/100=0.3 x 10= 3
b) 3+30 = 33
17. The price of napkins and the number of napkins is listed in the table below.
Number of
Price of
Napkins (1) Napkins (p), in
cents
200
140
300
210
400
280
500
350
600
420
Letp represent the price of the napkins and the number of napkins. Which equation shows the
relationship between the price of napkins and number of napkins?
A.pn=7C.pn=0,7
B.np = + 70 D.pn = +100
Answers
Answer:
The question is very nice.
,Iike it.
HELP ME
WHATS THE PERIMETER
Answers
Answer:
12
Step-by-step explanation:
divid half of line
Answer:
Perimeter = 60
Step-by-step explanation:
In order to find the perimeter of the given triangle, we must first determine the value of the missing side. We can use the Pythagorean Theorem to find the missing side of the given right triangle.
According to the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse (the side that is opposite of the right angle, 90°), and a and b represent the legs of the triangle. Use the formula to solve for the missing side. Rearrang the formula to isolate the variable, a:
a² + b² = c²
Subtract b² from both sides:
a² + b² - b² = c² - b²
a² = c² - b²
Next, substitute the given values into the formula:
c (hypotenuse) = 26
b (leg) = 24
a² = c² - b²
a² = (26)² - (24)²
a² = 676 - 576
a² = 100
[tex]\sqrt{(a)^{2}} = \sqrt{100}[/tex]
a = 10
The value of the missing side is 10.
Now, we can solve for the perimeter of the triangle:
P = a + b + c
P = 10 + 24 + 26
P = 60
Therefore, the perimeter of the given right triangle is 60.
Help plz I don’t understand how to do this math below
Answers
What is 7.83 x10^6 in decimal form
Answers
Answer:
7830000.00
Step-By-Step Explanation:
78 - 783 - 7830 - 78300 - 783000 - 7830000
Answer: 7830000
Step-by-step explanation:
7.83*10^6=
------------->
7.83*10^6=7.83
since the exponent equals 6, lets move the decimal sign 6 places to the right.
7.83*10^6=7.8.3.0.0.0.0.
Result is 7 8 3 0 0 0 0
7.83*10^6=7830000
Last week the cost of a pair of socks was $3.25. This week they are on sale for $1.95. What is the percent change from last week to this week?
Tell whether this is an increase or a decrease then give the percent the value changed.
Answers
Answer:
The socks are 40% off, and it is decreased to 60%.
Step-by-step explanation:
:))
9/10 minus blank equals 1/5
Answers
Answer:
7/10
9/10 - ____ = 2/10
9 - 7 = 2
So, 9/10 - 7/10 = 2/10 or 1/5
Step-by-step explanation:
I need help on this ASAP… Line A passes through the points (-4,5) and (0,2). Line B…
Answers
Answer:
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Step-by-step explanation:
To answer this question, we only need to find the slope of each equation. The formula for slope is attached in a picture.
LINE A
Substituting the first line into the formula, we will get...
(2 - 5)/(0 -(-4))
-3/4
LINE B
Substituting the second line's points into the formula we will get...
(2 - 6)/(3 - 6)
-4/-3
4/3
LINE C
Substituting the third line's points into the formula we will get...
(3 -(-1)/(0 -(-3))
4/3
So, parallel lines have the same slope, right? Since line b and line c have the same slope, they are parallel.
And, perpendicular lines have negative reciprocal slopes, right? (reciprocal means x/y -> y/x) Since -3/4 and 4/3 are negative reciprocals of each other, they are perpendicular.
Therefore...
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
2) How long will it take for $1300 to grow to $ 45,600 at an interest rate of 8.9% if the interest is compounded
continuously? Round the number of years to the nearest hundredth.
Answers
Answer:
39.97 years
Step-by-step explanation:
The compound interest formula is ...
A = Pe^(rt)
Solving for t gives ...
ln(A/P)/r = t
t = ln(45600/1300)/0.089 ≈ 39.97 . . . years
It will take 39.97 years for $1300 to grow to $45,600 when earning 8.9% interest compounded continuously.