a) -0.30103 b) -1.69897 c) 9.69897 d) 0.69897​

A) -0.30103 B) -1.69897 C) 9.69897 D) 0.69897

Answers

Answer 1

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

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:

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 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.

Complete the steps to solve for x.
-0.51x + 0.21x = 6.3
-0.51x + 0.21x = 6.3
x= 6.3

Answers

Answer -7.66 because I said it was lol JK:) I took the test and I got that answer correctly

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:

Factorise
X squared + 13x + 40

Answers

(x+8)(x+5) as
13 = 8 + 5 and
40 = 8 x 5
hope this helps! :)

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.

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

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:

Help! Solve for r.
12=r-(34-2)

Answers

R= 3/8 or r=0.375 .....

i need help with the picture down below. asap if you could.

Answers

Answer:

3x - 5y = -55

Step-by-step explanation:

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 )

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

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.

This is my question yall

Answers

Answer:

4

Step-by-step explanation:

12/6=2 2+2=4

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

combined like terms 11d+8

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 - 16

Step-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-intercept

Now, 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 - 16

Note: Your answer choices are not clear, thus I have solved the complete question which anyways should be able to clear your concept.

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:

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

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:

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:

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.

I really don’t know I knew I could solve this one but I’m stumped

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:

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)

LINEAR EQUATIONS
2(x-1)=3(x+1)

Answers

X = -5. Hope this helps!

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)

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

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

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

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

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