Answers
Answer:
[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30102[/tex]
Thus, option A is true.
Step-by-step explanation:
Given the expression
[tex]log\left(\frac{1}{2}\right)[/tex]
[tex]=\log _{10}\left(2^{-1}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \:x>0[/tex]
[tex]\log _{10}\left(2^{-1}\right)=-1\cdot \log _{10}\left(2\right)[/tex]
so the expression becomes
[tex]=-1\cdot \log _{10}\left(2\right)[/tex]
[tex]\mathrm{Multiply:}\:1\cdot \log _{10}\left(2\right)=\log _{10}\left(2\right)[/tex]
[tex]=-\log _{10}\left(2\right)[/tex]
substituting the value of log 2 = 0.30103
[tex]\:=-0.30102[/tex]
Thus,
[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30103[/tex]
Therefore, option A is true.
Related Questions
i need help with the picture down below. asap if you could.
Answers
Answer:
3x - 5y = -55
Step-by-step explanation:
What is the value of a?
–31
–7
–5
–1
Answers
Answer:
i think its -31
Step-by-step explanation:
if im wrong im sorry
Answer:
D. -1
Step-by-step explanation:
Edge
A metal manufacturing company reduces the length of a 12.5-inch cylindrical rod, after which the rod measures 7.8 inches. How many inches was the rod shortened by?
Answers
Answer:
4.7 inches
Step-by-step explanation:
The original is 12.5, and it was shortened to 7.8. So take the original, subtract the result, and you will get the answer.
12.5-7.8=4.7
Answer:
4.7 inches hope it helped
2 - x = 13 what is the value x
Answers
Answer:
-11 because if you take a positive number and subtract a negative number you get a positive number and the two subtraction simboles (2- - 11 = 13) cancel eachother out and make the equation and addition instead of subtraction
(Does that help?)
Step-by-step explanation:
Which is the equation of a line that has a slope of -5 and passes through point (-3,-1)? O y=-3x+1 O y=-3x+3 O y=-x-1 O y=-x-3 3
Answers
Note: Your answer choices are not clear, thus I have solved the complete question which anyways should be able to clear your concept.
Answer:
The equation of a line that has a slope of -5 and passes through the point (-3,-1) will be:
y = -5x - 16Step-by-step explanation:
Given
slope = m = -5point = (-3, -1)We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
Here:
m is the slopeb is the y-interceptNow, substituting m = -5 and (-3, -1) in the slope-intercept form of the line equation to determine the y-intercept 'b'
[tex]y=mx+b[/tex]
-1 = -5(-3) + b
switch sides
-5(-3) + b = -1
15 + b = -1
b = -1 - 15
b = -16
Now, substituting m = -5 and b = -16 in the slope-intercept form of the line equation to determine the equation of a line
[tex]y=mx+b[/tex]
y = -5x + (-16)
y = -5x - 16
Therefore, the equation of a line that has a slope of -5 and passes through the point (-3,-1) will be:
y = -5x - 16Note: Your answer choices are not clear, thus I have solved the complete question which anyways should be able to clear your concept.
Scientists find a wooden spoon and they want to use Carbon dating to out how old it is. If the amount of carbon left is 85% of its original amount, how old this artifact? (Note here that we are actually finding the age of the wood from which the spoon was made
Answers
Answer:
1,336 year (Approx)
Step-by-step explanation:
Half life of carbon 14 = 5,700 year
Equation used for carbon dating:
t = [5,700/In2]ln[N]
t = [5,700/In2]ln[85%]
t = [5,700/In2]ln[0.85]
t = 1,336 year (Approx)
You and a friend decide to sell cookies to raise
money for a local fundraiser. After d days, you
have raised (5d + 6) dollars and your friend has
raised (6d + 2) dollars. Write an expression that
represents the total amount of money that you
raised together
Answers
Factor this -5x2 + 15x + 140
Answers
Answer: -5( x - 7) (x + 4)
Step-by-step explanation:
Factor the polynomial.
Answer: 5(3X+26)
Explanation: M a t h w a y
Help! Solve for r.
12=r-(34-2)
Answers
Tina’s house is located at point (5,4). What quadrant is Tina’s house in?
A: |
B: ||
C: |||
D: |V
Answers
Answer:
Tina's house located at point (5,4) is in Quadrant |.
Step-by-step explanation:
If both numbers in the parenthesis are positive, it's put in Quadrant |.
(You can also look up a graph quadrant divider and it will show you)
A seamstress bought some some bolts of fabric at $25.30 each. She spent a total of $227.70. Write an equation and solve to find the number of bolts of fabric that she purchased.
Answers
Answer:
227.70 divided by 25.30
Step-by-step explanation:
if she spent 227.70 when 25.30 was how much the fabric costed, you will need to divide to find out how much fabric she got.
Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (negative 0.5, negative 4.5), and goes through (1, 0).
f(x) = x2 + x – 2
f(x) = 2x2 + 2x – 4
f(x) = x2 – x – 2
f(x) = 2x2 –2x – 4
Answers
Answer:
B! just took it!
Step-by-step explanation:
Answer:
B. f(x) = 2x2 + 2x – 4
Step-by-step explanation:
it's lit!!!
what would you do if u got hurt really bad and how would u deal with it???? 5 sentences
Answers
Answer:
I would call for help, calm myself down, and try not to cause a scene. once I get help I won't panic or the situation will get worse. I'll stay positive and let my self heal for however long I need to rest for. Then when i'm better i'll make sure not to make the same mistake again and be more careful.
Step-by-step explanation:
is 9.22222 a irrational number
Answers
Answer:
No
Step-by-step explanation:
9.222222 is not a irrational number.
Hope this helps plz hit the crown :D
Answer:
yes it is
Step-by-step explanation:
show work for brainliest.
find the equation for the parabola with vertex (4,6) and focus (4,9) .
Answers
Answer:
Equation of the parabola: 12y−72=(x−4)212y−72=(x−4)2 or y=x212−2x3+223y=x212−2x3+223.
Vertex form: y=(x−4)212+6y=(x−4)212+6.
No intercept form.
Vertex: (4,6)(4,6).
Focus: (4,9)(4,9).
Eccentricity: 11.
Directrix: y=3y=3.
Latus rectum: y=9y=9.
The length of the latus rectum: 1212.
Axis of symmetry:
Step-by-step explanation:
from parabola calculator-eMathHelp
I hope it helps.
A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.
Answers
Step-by-step explanation:
radius
(2,2)-(1,-3)=(1,5)
radius= 5.09 units
Let xrepresent the number of bags of Takis Scorpion BBQ sold each day. • The number of bags of Valcano Queso Takis sold each day is 6 less than three times the number of Scorpion BBQ bags sold. The total number of bags sold is 250. What is x, the number of bags of Takis Scorpion BBQ?
Answers
Answer:
(3x-6)+x=250
x=64
There are 64 Takis Scorpion BBQ bags.
What is the circumference?
7 ft
Answers
Answer:
C = 7π
Step-by-step explanation:
Diameter: 7 feet
Formula: C = πd (Circumstance = π × Diameter)
C = 7π
Find the 82nd term of the arithmetic sequence -10,6,22
Answers
Answer:
a(82) =1286
Step-by-step explanation:
a(n) = a +(n-1)d
a=-10
d=6+10=22-6=16
°.° a(n) = -10 +(n–1)16
a(82) = -10 +(82–1)16
=-10+(81x16)
=1286
hope this helps
square root of 7-?
.............................
Answers
Answer:
2.64575131106
Step-by-step explanation:
Answer:
Do you mean -7?
If so the answer is 2.64575131i
(The square root of just seven is the same answer but without the i, in other words 2.64575131 )
LINEAR EQUATIONS
2(x-1)=3(x+1)
Answers
Please help!! answer choices and question below
Answers
Answer:
3 because 3 times 4 is 12 and 18 divided by 6 is 3
Step-by-step explanation:
Evaluate 11 1/2 +(−4 2/3)x for x=6.
A. −17 1/2
B. −16 1/2
C. 36 1/6
D. 39 1/2
Answers
Answer:
C
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Factorise
X squared + 13x + 40
Answers
13 = 8 + 5 and
40 = 8 x 5
hope this helps! :)
Carl Cornfield has been wondering whether he should plant white corn this year. He decides to sample 100 customers. 38% say they would purchase white corn. Carl wants to have a 95% confidence interval for this proportion.
The confidence interval is from 33% to 43% (to the nearest percent).
True
False
Answers
Answer:
true
Step-by-step explanation:
This is my question yall
Answers
Answer:
4
Step-by-step explanation:
12/6=2 2+2=4
i need a lot of help on this please!!!
Answers
Answer:
y=-12, 0, 0,0,4
Step-by-step explanation:
They are all in order all you have to do is plug in the x value were the x is so like this
4(-2)-4 do it like that with every number from the x value then they are right
what is 28r-9(2r+6) simplied?
Answers
Answer:
10r-54
Step-by-step explanation:
Answer:10r-54
28r-9(2r+6) bring -9(2r+6) that gives us -18r-54 then we bring back the 28r translating to 28r-18r-54 simply 28-18=10 so 10r-54.
Please help i need this ASAP! C(x)=0.7x^2-210x+27,738
Do not round your answer
Answers
Answer:
27/x
Step-by-step explanation:
Complete the steps to solve for x.
-0.51x + 0.21x = 6.3
-0.51x + 0.21x = 6.3
x= 6.3