3^(4x-5) = (1/27)^(2x+10) show your work
Answer:
3^4x-5=1/27^2x+10
We move all terms to the left:
3^4x-5-(1/27^2x+10)=0
Domain of the equation: 27^2x+10)!=0
x∈R
We get rid of parentheses
3^4x-1/27^2x-10-5=0
We multiply all the terms by the denominator
3^4x*27^2x-10*27^2x-5*27^2x-1=0
Wy multiply elements
81x^6-270x^2-135x^2-1=0
We do not support expression: x^6
Step-by-step explanation:
Pls help?!?!?! 10 points
Answer:
I solved it for u!
Hope ot helps!!!
Enter your answers in the boxes.
m =
Answer:
m = [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
A( [tex]x_{1}[/tex] , [tex]y_{2}[/tex] )
B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
[tex]m_{AB}[/tex] = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~
(0, 2)
(7, 7)
m = [tex]\frac{7-2}{7-0}[/tex] = [tex]\frac{5}{7}[/tex]
A breakfast on the menu for $7.25 actually costs $7.83, because of the sale tax. Which statements are correct for this situation
Answer:
you didnt add a picture but i assume you want the percentage of tax which would be 8%
Step-by-step explanation:
What is the value of 1 − 2sin2(105°)?
a Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
b Negative one-half
c One-half
d StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answer:
D. d StartFraction StartRoot 3 EndRoot Over 2 EndFractionStep-by-step explanation:
What is the value of 1 − 2sin^2(105°)?
Given the expression
1 − 2sin²(105°)
= 1 - 2(sin105)²
= 1 - 2(0.9659)²
= 1 - 2(0.9330)
= 1 - 1.8660
= 0.8660
0.8660 can also be expressed as √3/2
Hence 1 − 2sin²(105°) is √3/2
Answer: D
Step-by-step explanation:
It IS sqrt3/22
What is the solution to 2x-8<12?
x<2
x<8
x<10
x<40
A line perpendicular to y=2/5x+1
Answer:
y = -⁵/₂x + bStep-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = ²/₅x + 1 ⇒ m₁ = ²/₅
²/₅m₂ = -1 ⇒ m₂ = -⁵/₂
So, any line with slope m = -⁵/₂ will be perpendicular to y = ²/₅x + 1
Monica swims the 200, 400, and 1,000 meter freestyle swimming events. At the last swimming meet she swam the 200m in 1 minute 4 seconds, 400m in 2 minutes 31 seconds, and the 1,000 meter in 7 minutes 11 seconds. What were her average speeds in all these events (meters/second)?
Answer:
a) 200 meters = 3.125 meters/seconds
b) 400 meters = 2.649 meters per second
c ) 1000 meters = 2.320 meters per second
Step-by-step explanation:
The formula for Average speed = Distance/ Time
Monica swims the 200, 400, and 1,000 meter freestyle swimming events.
We are to calculate: average speeds in all these events (meters/second).
At the last swimming meet she swam
For the 200m
Time 1 minute 4 seconds
60 seconds = 1 minutes
Hence, Time = 60 + 4 = 64 seconds.
Average speed = 200m/64 seconds
= 3.125 meters/seconds
For 400m
Time = 2 minutes 31 seconds
1 minute = 60 seconds
2 minutes = 60 × 2 = 120 seconds
Total time = 120 + 31 seconds = 151 seconds
Hence, Speed = 400m/151 seconds
= 2.649 meters per second
For 1,000 meter
Total time = 7 minutes 11 seconds.
1 minute = 60 seconds
7 minutes = 60 × 7 = 420 seconds
Total time = 420 + 11 seconds = 431 seconds
Hence, Speed = 1000m/431 seconds
= 2.3201856148 meters per second
Approximately = 2.320 meters per second
Therefore her speed were
a) 200 meters = 3.125 meters/seconds
b) 400 meters = 2.649 meters per second
c ) 1000 meters = 2.320 meters per second
Answer:
3.125m/s
2.469 m/s
2.320 m/s
Step-by-step explanation:
Average speed = total distance / total time
60 seconds = 1 minute
Converting minute into second = (1 x 60) + 4 = 64 seconds
(2 x 60) + 31 = 151 seconds
(7 x 60) + 11 = 431 seconds
Average speed = 200 meters / 64 seconds = 3.125m/s
Average speed = 400 meters / 151 seconds = 2.469 m/s
Average speed = 1000 meters / 431 seconds = 2.320 m/s
sea level = 0
A submarine is 120 ft below sea level. It climbs 50 ft towards sea level.
Where is the submarine compared to sea level now?
A. −170 ft
B. 70 ft
C. −70 ft
Answer:
c. -70
Step-by-step explanation:
subtract 50 from 120 you get 70, and since we are below sea level it is negative
The scale on a map is 4 cm = 25 miles. Dave measures the distance to the next town at 9 cm. How many miles away is the next town?
Answer:
58.333....
Step-by-step explanation:
8cm=50
1cm so 25/3
8.3333333333
Answer:
56.25 or 56 1/4
Step-by-step explanation:
If 4 cm is equal to 25 miles then we can divide 25 by 4 to see how many miles is in 1 cm.
25 divided by 4 is 6.25 or 6 1/4
Therefor 1 cm is equal to 6.25 miles.
Now we multiply 9 by 6.25 to get 56.25
HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form
Answer:
y=-0.25x +6
Step-by-step explanation:
3=(-0.25)12+c
3=-3+c
6=c
Solve
7x + 10 = 3x + 13
Answer:
x=3/4Step-by-step explanation:
Let's solve your equation step-by-step.
7x+10=3x+13
Step 1: Subtract 3x from both sides.
7x+10−3x=3x+13−3x
4x+10=13
Step 2: Subtract 10 from both sides.
4x+10−10=13−10
4x=3
Step 3: Divide both sides by 4.
4x/4=3/4
x=3/4
hi, can you please solve that ?
Answer:
A.
Step-by-step explanation:
You need to solve for p on both inequalities.
4 ≤ p - 8
12 ≤ p
p - 14 ≤ 2
p ≤ 16
This means that p is greater than or equal to 12 but less than or equal to 16.
12 ≤ p ≤ 16
Therefore, the answer is A.
solve the equation:
3t²-3t+1=0
Answer:
There are no solutions
Step-by-step explanation:
Answer:
?? im not very good at math
Step-by-step explanation:
-2x - (-18x + 126) = -18
Answer:
6.75 or 6and 3/4
Step-by-step explanation:
-2x - (-18x + 126) = -18
-2x + 18x - 126 = -18
16x = -18 + 126
16x = 108
x = 6.75 OR 6 3/4
Pls makr brainliest tysm
AHHH URGENT ANSWER QUICK I GIVE BRAINLIEST
Answer:
20/54
Step-by-step explanation:
Which equation js equivalent to 4(2x-3)-3(x-4)+7x=6?
A scuba diver is positioned at -30 feet. How many feet will she have to rise to change the position to -12 feet?
Answer: 18
Step-by-step explanation:
What is the quadratic formula?
Answer:
Step-by-step explanation:
Answer:
x = [tex]\frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]
Ignore the capital A for this equation when it is ax^2+bx+c=0
Given that f(x)=2x+1
a) find f(2)
b)find f^-1(x)
c)f^-1(7)
Answer:
a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]
Step-by-step explanation:
a) We evaluate the function at [tex]x = 2[/tex]:
[tex]f(2) = 2\cdot (2) + 1[/tex]
[tex]f(2) = 4+1[/tex]
[tex]f(2) = 5[/tex]
b) First, we determine the inverse of the function by algebraic means:
1) [tex]y = 2\cdot x + 1[/tex] Given
2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property
3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property
4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties
5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties
6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality
7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division
8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result
c) Now we evaluate the expression obtained on b) at the given number:
[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]
[tex]f^{-1} (7) = 3[/tex]
I am giving all my final points for this one please answer correctly! and thank you
Answer:
D.
Step-by-step explanation:
You can see that the first value(initial) of y is 20 and the difference of the preceding values is 10 but it is decreasing thus -10
Can someone plz help! Will mark brainliest if its right
Answer: that is the answer to both
Step-by-step explanation:
A magic square is a square array of numbers arranged so that the numbers in all rows, all columns, and the two diagonals have the same sum. Use the properties of a magic square to fill in the missing numbers in the magic square on the right. CO. 16 24 Use the figure with the letters below to give the missing numbers. CO A= B= C= B 16 D= E= E 24
Answer:
I think a is 9 cause 9+ 8 is 17 ??
The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
If we make the sum of each side diagonally then the sum should be 48.
So,
D+ 16 + 17 = 48
D = 15
And
15 + B + 8 = 48
B = 25
And,
25 + 16 + C = 48
C = 7
And,
8 + A + 17 = 48
A = 23
And,
15 + E + 24 = 48
E = 9
Hence "The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively".
For more information about summation
brainly.com/question/10777222
#SPJ2
Type in two factors of 26 other than 1 and 26.
Type the factors in the increasing order
Answer:
1 - 26
2 - 13
3 - n/a
4 - n/a
5 - n/a
6 - n/a
7 n/a
8 n/a
9/10/11/12 - all n/a
13 is the last numberStep-by-step explanation:
Answer:
2 and 13
Step-by-step explanation:
Which table shows a function that is decreasing only over the interval (-1, oo)?
х
-3
-2
-1
0
1
2
f(x)
-1
-3
-5
-2
-1
2
х
-3
-2
-1
0
1
2
f(x)
-3
-5
-7
-6
1
|--1
х
-3
-2
-1
0
1
2
f(x)
-4
-3
-1
2
1
-6
O
f(x)
х
-3
-2
-1
0
1
2.
-1
1
0
4
-8
Answer:
the thrid one
Step-by-step explanation:
The table that shows a function that is decreasing only over the interval (-1, oo) is table 3
For a table to show a decreasing interval, then the table values must reduce as the x value increase
The interval (-1, oo) means that, -1 is exclusive of the x values.
So, we start from x > -1
The first table shows an increasing function for x > -1
The second table shows an increasing and decreasing function for x > -1
The third table shows a decreasing function for x > -1
The last table shows a decreasing function for x > -1 but increases at other values
Hence, the table that shows a function that is decreasing only over the interval (-1, oo) is table 3
Read more about continuous functions at:
https://brainly.com/question/9412728
Solve for x
2(x + 4) = -6
x=
Answer:
Step-by-step explanation:
here you go mate :)
step 1
2(x + 4) = -6 solving for x
step 2
2(x + 4) = -6 simplify by distributing
2x+8=-6
step 3
2x+8=-6 subtract 8
2x=-14
step 4
2x=-14 look for the number that can divide them both like 2
2x/2=-14/2
answer
x=-7
I'm crying I have to get this done in like 30 minutes or else my mom is literally gonna beat my a.ss please
First equation: t=b-4
Second equation: b+t=348
Since t is in terms of b from the first equation, this expression can be substituted into the second equation where t appears. Write an equation that shows this substitution.
Type the equation:
Answer:
equation: b+(b-4)=348
Step-by-step explanation:
B+t=348
b+ 1(b-4)=348
b +b -4=348
this is if u want what b is
2b-4=348
2b-4+4=348+4
2b= 352
2b÷2 = 352÷2
b=176
8 1/3 - 4 3/4 I will reward brainlyest
Answer:
The answer is 3 7/12 Hope this helps :)
Step-by-step explanation:
Sheldon gets paid $4 per hour to babysit his cousin. This
weekend, he babysat on both Saturday and Sunday. He
made a total of $56. Sheldon babysat for 8 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.
Answer:
6
Step-by-step explanation:
4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.
santiago drew a scale drawing of a community college. he used the scale 2 centimeters : 1 meter. The actual length of a building at the college is 76 meters. how long is the building on the drawing ?
Answer:
The building is 152 cm long.
Step-by-step explanation:
-We can solve using proportion!:
[tex]\frac{2 cm}{1 meter} = \frac{x}{76 meters} \\\\\frac{1x}{1} =\frac{152}{1} \\\\\\x = 152[/tex]