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

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.

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:

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

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!!!

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

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

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:

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

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:

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 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:

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.

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)

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

Answers

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

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

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

Answers

X = -5. Hope this helps!

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

This is my question yall

Answers

Answer:

4

Step-by-step explanation:

12/6=2 2+2=4

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

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.

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 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

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.

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)

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:

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

Answers

Answer:

3x - 5y = -55

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:

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

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:

Factorise
X squared + 13x + 40

Answers

(x+8)(x+5) as
13 = 8 + 5 and
40 = 8 x 5
hope this helps! :)
Other Questions
Question 13 (1 point)Andrew Jackson blamed John Quincy Adams and Henry Clay for stealing the 1824 election from him due to the_____ ?big deal or corrupt bargain NEED HELP IMAGE ATTACHED!!! Rewrite the linear equation x+3y=2. Solve the Inequality3x9 The lengths of the three sides of a triangle are x +3,2x, and 5x - 35. What is the value of x if the perimeter of the triangle is 112?A.17 B.18 C.12D.14E.26 How does set(ing) forth in a solemn declaration the natural, unalienable, and sacred rights of man reflect, embody, show, or exemplify Enlightenment values and/or goals? Clearly and correctly explain how this phrase does so. What is the meaning of the phrase rising star? working harder than others more popular than others showing superiority in strength growing quickly in importance Find the product of 11/12 (-2.4) Question 19 (1 point)Which of the following is an example that includes evidence of a chemical reaction? Ms. Ayers wrote a bonus problem on the board. If Jason correctly answers, he will get extra computer time. The problem is to write a statement that correctly relates the numbers 5 and 10. Which should Jason write? How did Vargas misinterpret the Pueblo's reaction to him in his initial trip? How did the Pueblo's respond to his visit? Ughhh please helpppp!!!! Mayelle earns $18,000 a year. After a raise, she earns $19,500. What is the percent of increase in pay? Round to the nearest tenth of a percent.8.3%9.2%7.7%9.5% Another one for you! this is just a little uplifting quote for all yall out there that need it. please share your own uplifting stuff to keep this place a nice vibe! 1)Solve the system of equations using substitution or elimination. Your12x - y = 24-3x + 2y = -6 Can someone help me please Who else got stuck on a question and is NOT ready for test return at 2? its 1:58 AAAAAAA What is the torso in the story lemon brown what does Greg fear ? What brings him pain (look up the story) True or False: Thutmose Ill was a strong leader and general who expanded Egypt's control north to the Euphrates River in Mesopotamia