Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm
Answer:
exponential expression:
8ᵇ = 2
log8(2) = 0.333333333 or 1/3
Answer:
log8(2) = 1/3
Step-by-step explanation:
I don't know if they mean this by an exponential expression but:
set x = log8(2), then
8^x = 8^(log8(2))
By logarithmic properties:
8^x = 2.
notice that 8 = 2^3.
By exponential properties:
8^x = (2^3)^x = 2^(3x)
So 2^(3x) = 2 = 2^1.
Comparing exponents gives:
3x = 1 <=> x = 1/3.
So log8(2) = 1/3.
PLEASE HALP ASAP MARKING BRAINLEIST
Answer:
y=4/3x-7
Step-by-step explanation:
The slope intercept formula y=mx+b, m being the slope and b being the y-intercept so all we have to do is find those and plug them in to get the answer.
Solve this radical equation:
Answer:
x = 5
Step-by-step explanation:
Step-by-step explanation:
Given,
[tex] \sqrt{x + 11} - x = - 1[/tex]
To Find:
Value of xSolution:
Square both sides, then solve.
[tex] \rm \implies \: \: \sqrt{(x + 11} ) {}^{2} = ( - 1 + x) {}^{2} [/tex]
[tex] \implies \rm \: x + 11 = - (1 + x) {}^{2} [/tex]
[tex] \rm \implies \: \: x + 11 = 1 - 2x + x {}^{2} [/tex]
[tex] \rm \implies \: 1−2x+x {}^{2}=x+11[/tex]
[tex] \rm \implies1+x {}^{2} −3x=11[/tex]
[tex] \rm \implies1+x {}^{2} −3x−11=0[/tex]
[tex] \rm \implies {x}^{2} - 3x - 10 = 0[/tex]
Factor the LHS
[tex] \implies \rm \: (x - 5)(x + 2) = 0[/tex]
Bring terms equal to 0, that is
[tex] \implies \rm(x - 5) = 0[/tex]
Solve for x[tex] \implies \rm \: x = 5+ 0 = \boxed 5[/tex]
AND set x+2 equal to 0,
[tex] \rm\implies \: x + 2 = 0[/tex]
Solve for x[tex] \rm \implies \: x = - 2[/tex]
So the possible two values are 5 & -2.
But, after plugging the values for verifying each,the most accurate is 5.
So, the value of x is 5.
If 47 divided by a power of 10 to get 0.047 what power of 10 was it divided by
Answer:
0.01
Step-by-step explanation:
cause 47 x 0.01 + 0.047
The power of 10 that you would dived it by would be 1,000.
Because here we have 3 option 10, 100, and 1,000. So what we would do is divide each one to that main number "47"
47 ÷ 10 = 4.747 ÷ 100 = 0.4747 ÷ 1,000 = 0.047Learn more at https://brainly.com/
#SPJ1
Find the slope of the line tangent to the curve f(x) = -10x^2 + 8x when x=9
The tangent line to f(x) at some point x has slope equal to f'(x), so first compute the derivative of f :
f(x) = -10x ² + 8x
f'(x) = -20x + 8
When x = 9, we have
f (9) = -10•9² + 8•9 = -738
f' (9) = -20•9 + 8 = -172
so the slope is -172.
If you also have to find the equation of the tangent line, use the point-slope formula:
y - (-738) = -172 (x - 9)
y = -172x + 810
What is the answer for 2 x 4 x 5 x 99 ÷ 3 x 56?
Brainliest for the correct answer!
Answer:
73920
Step-by-step explanation:
pemdas
2*4=8
8*5=40
40*99=3960
3960/3=1320
1320*56=73920
Answer:
73920
Step-by-step explanation:
The largest prime number that is a factor of 35 is multiplied by the smallest prime number
Answer:
the largest factor of 35 is 35 and the smallest prime number is 2 so 35 times two is 70
Step-by-step explanation:
Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....
Answer:
0/2 0/5 0/10
Step-by-step explanation:
Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.
a bottle of eye drops has 0.45 fluid ounces of liquid how much liquid is in ten Forths bottles of eye drop.
I need help pleaseeee
Answer:
6mn
Step-by-step explanation:
Let the value we are finding be “box.” We can divide both sides by (3m - 4) to isolate box on one side. We get:
box = (18nm^2 - 24mn)/(3m - 4)
Note that we can factor out 3m - 4 in the numerator and cancel it with the denominator. (18nm^2 - 24mn)/(3m-4) = (3m-4)(6mn)/(3m-4) = 6mn.
I hope this helps! :)
Answer:
6mn
firstly divide both the sides with 3m-4
by letting the missing place as" x"
Step-by-step explanation:
take 6mn common from 18m square n - 24mn
you will get 3m- 4 left which get crossed with 3m- n and the value of x will be 6mn
what is 696 39/100 into a decimal
Answer:
696.39
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer: 696 39/100 into a decimal is 696.39
Which of the following is true?
|−4| < 3
|−4| < |3|
|−3| < −4
|−3| < |−4|
Answer:
|−3| < |−4|
Step-by-step explanation:
Answer:
|−3| < |−4|
Step-by-step explanation:
Convert each option:
|−4| < 3 ⇒ 4 < 3 ✖ False
|−4| < |3| ⇒ 4 < 3 ✖ False
|−3| < −4 ⇒ 3 < −4 ✖ False
|−3| < |−4| ⇒ 3 < 4 ✔ True
Hope this helps! :)
8. La semana pasada, John gasto $ 18 en 4 juegos de bolos. Esta semana gastó $ 27 en 6 juegos de bolos. John tiene su propio par de zapatos, por lo que solo paga por los juegos que juega. ¿Es esta relación proporcional? Si es así, ¿cuál es la constante de proporcionalidad?.
Answer:
Step-by-step explanation:
las quenos juegos = 18
What is the numerical expression of 28
Answer:
the answer is 5 i think
Step-by-step explanation:
. Sharon is building bookshelves for her room. She bought a board that is 10 1/2 feet long. If she cuts the board into three equal pieces, how long will each shelf be?
Answer:
3 1/2 feet
Step-by-step explanation:
10 1/2 / 3 = 7/2 = 3 1/2
Solve 1/3k+80=1/2k+120
Answer:
k=-240
Step-by-step explanation:
Answer:
k = -1200
Step-by-step explanation:
Natalie walked 3/5 mile in 1/2 hour.how fast did she walk,miles per hour.
Answer:
1.2 mph
Step-by-step explanation:
3/5 = .6 per half hour, you need to find the mph rate and since you're dealing with a half hour rate, you double it. .6 miles × 2 & 30 mins ×2= 1.2 miles per hour
Using point-slope form, write the equation of the line that passes through the point (-1/2,1/2) and has a slope of -1
Answer:
y - 1/2 = -(x + 1/2)
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1), where (x1, y1) is a point on the line
Plug in the point given and the slope:
y - y1 = m(x - x1)
y - 1/2 = -(x + 1/2)
So, the equation is y - 1/2 = -(x + 1/2)
Answer:
y - 1/2 = -(x + 1/2)
2-2=-1(1+1)
Step-by-step explanation:
slope is given
y-y1=m(x-x1)
what is the answer to 5/6 x 4/3
Answer: 5/6 * 4/3 = 10/9
The Decimal Would Be: 1.111111
Step-by-step explanation:
Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it
Answer: This is a tough question
Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D
Step-by-step explanation:
The graph below shows two functions f(x) and g(x)
such that g(x) = f(x) +k
Enter the value of kin the box below.
k=
Answer:
The value of k is 7
Step-by-step explanation:
The image shows the graph of g(x) and f(x). g(x) is shifted up f(x) by a number k such that:
g(x) = f(x) +k
To know the value of k, we select a value for x and calculate the value of k.
For example, for x=0, f(0)=-6, g(0)=1, and:
g(0) = f(0) +k
1 = -6 +k
k = 7
We can select any other value for x which g and f values can be clearly seen. For example, for x=-5, f(-5)=0, g(-5)=7, thus:
g(-5) = f(-5) +k
7 = 0 +k
k = 7
The value of k is 7
the answer above is correct
7. Marsha has three times as many quarters as she does nickels. She has a total of $3.20. How
many of each coin does she have?
A. 2 quarters and 6 nickels
B. 12 quarters and 4 nickels
C. 8 quarters and 24 nickels
D. 18 quarters and 6 nickels
Question is in Screenshot/Attachment! Hurry pls.
Answer:
[tex] y = 6x + 2 [/tex]
Step-by-step explanation:
To write a linear function to represent the situation in the form of y = mx + b, we need to find,
m = slope of the graph
b = y-intercept or starting value
✔️Finding slope (m) using two points on the line, (0, 2) and (1, 8):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 2}{1 - 0} = \frac{6}{1} = 6 [/tex]
y-intercept (b) = 2 (i.e the value of y when x = 0, which is the starting value oflr the point where the line intercepts the y-axis)
Substitute m = 6, and b = 2 in [tex] y = mx + b [/tex]
[tex] y = 6x + 2 [/tex]
Hurry and anwser plz
Answer:
D
Step-by-step explanation:
103+103=206
360-206=154
154 divided by 2 equals 77 degrees aka D.
Hope this helped! :)
The point (–5, 6) is located in which quadrant?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant 2
Step-by-step explanation:
Step-by-step explanation:
4th quadrant cause x is positive and y is negative
Which shows the use of the associative and commutative properties to make simplifying 3.2 + 20 – 3+ 4.8 + 19 easier?
Answer:
B
Step-by-step explanation:
(3.2+4.8)+[20+19+(-4)]
8. +. 47. -4
=43
8p+3=5p+9
Please solve with work I’ve gotten it wrong 9 times
p= 2
Step-by-step explanation:
1. subtract 3 from 3 and 9
2. subract 5p from 8p and 5p
3. it is now 3p = 6
4 divide both sides by 3
5. 6/3 is 2 so 2 =p
Aaron spent $35 to buy some new baseball
cards. Each pack of cards cost the same whole
dollar amount. How many packs of cards
could he have bought?
Answer:
He can buy 7 packs or 5 packs it depends on how each costs seperately.
Step-by-step explanation:
If each pack costs 5 dollars then he can buy 7.
If each pack costs 7 dollars then he can buy 5.
help please I'm in a timed test
The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x re the larger number and y represent the smaller number. Which equations represent this situation?
y=-X y=āx-5
y = x 3 v=zx-5
y= 3x+ 3 2 Y = 3x+
Answer:
it's A
Step-by-step explanation:
y=-x
y=3/2x-5 hope this helps you
PLEASE HELP find the ratio of 25 cents to $1.25