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

#1- 2 is what percent of 16 #2- 15 is what percent of 80 #3- 38 is what percent of 200

Answers

Answer:

#1 .   12.5%

#2.   18.75%

#3.   19%

Step-by-step explanation:

2  / 16  x 100% = 12.5%

15 / 80  x 100% = 18.75

38 /200  x 100%= 19%

can someone answer the problem, please?
158
× 4

Answers

158 x 4 = 632 :) shshdjdhdb

Answer:

the answer is 632

Step-by-step explanation:

just do some normal multiplication. :)  

HOLA IM DORA AND IM GONNA NEED YOUR HELP FIGURING OUT THIS EQUATION?..... MUCHAS GRACIAS. what are the x-intercepts of the graph of y=x^2+5x+6?

A. (-2,0) and (-3,0)

B. (6,0) and (5,0)

C. (2,0) and (3,0)

D. (-6,0) and (-5,0)

Answers

Answer:

D

Step-by-step explanation:

yeah

Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.​

Answers

Answer:

b = 13.8

A = 45°

C = 35°

Step-by-step explanation:

Given:

m<B = 100°

a = 10

c = 8

Required:

b, m<C, and m<A

✔️Find b using Cosine Rule:

b² = a² + c² - 2*ac*Cos(B)

Plug in the values

b² = 10² + 8² - 2*10*8*Cos(100)

b² = 164 - (-27.7837085)

b² = 191.783709

Take the square root of both sides

b = 13.8 (nearest tenth)

✔️Find m<C using Sine rule:

[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]

Multiply both sides by 8

[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]

[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]

[tex] Sin(C) = 0.5709 [/tex]

[tex] C = Sin^{-1}(0.5709) [/tex]

[tex] C = 35 [/tex] (nearest degree)

m<C = 35°

✔️m<A = 180 - (100 + 35) (sum of triangle)

m<A = 180 - 135

m<A = 45°

Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

4.73 if it’s one person & if it’s for 2 people then 2.36 per person

If you were to roll a die one time, what is the probability of it landing on an odd number

Answers

Answer:

It's one half.

Step-by-step explanation:

There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.

Omg what kinds of questions are these do teachers really think we can tell if it’s gonna land on a odd number

a) Estimate the value of 50.75 x 0.18

Answers

Answer:9.135

Step-by-step explanation: I had have this answer

Answer:

9.135

Step-by-step explanation:

Help me please ! take your time and try your best thank you!

Answers

Answer:

C

Step-by-step explanation:

to find how much hours dan played the equation would be:

d = 2s - 4

to find the total:

s + d = 17

hope this helps :)

Answer: ABOVE

Explanation: This is what you did to countless others

WILL GIVE BRAINLIST
options: given, vertical angles, corresponding angles, and transitive​

Answers

Answer:

1. Given

2. Vertical angles

3. Transitive

4. Corresponding Angles

Step-by-step explanation:

1. Number one is given because it is the statement that is given

2. Number two is vertical angles because they are two opposite angles that are formed by the same lines. The statement also says they are congruent, which is true of vertical angles.

3. From the given answers 3 must be transitive because <2=<4 and <2=<6. Although alternate interior angles is also an appropriate answer.

4. Number four must be corresponding because they are on the same side of the intersection of the lines, so they are both in the top right. Also, the statement says they are congruent which is true of corresponding angles.

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days.

Answers

Answer:

L = -0.5x + 34

Step-by-step explanation:

When finding m in the formula y = mx + b. Find a word that means multiplication, in this case 0.5 feet per day.

Simplify the expression.
49^3/2

Answers

Answer:

i think its 58824.5

I’m doing a percent equation problem and the question is blank % of $50 =$35 help me plzzzz

Answers

Answer:

70

Step-by-step explanation:

blank % of $50 =$35

Let us take x in place of blank.

x % of $50 =$35

x/100 * 50 = 35

x/2 = 35

x = 35*2

x = 70

Therefore, 70% of $50 =$35

If ∠1≅∠2, then ___...

a) ∠5≅∠6, angle 5 is congruent to angle 6

b) ∠3≅∠4, angle 3 is congruent to angle 4

c) XK≅YK

d )GK≅HK

e)All of the above are true

Answers

Answer: All of thé above

Step-by-step explanation:

120% of __________ is 78

Answers

120% of 65 is 78.

This means that 120 times what equals 78.

120*65=78

Answer:

65

Step-by-step explanation:

Which expression is equivalent to -44
PLease asap 12 points please dont just take them

Answers

Answer:

|44|

Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)

Step-by-step explanation:

-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative

Answer:

One equation is -22+-22

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

Answers

Answer:

Where,

x: he number of tickets sold

y: the amount of money collected for the tickets

The domain of the function must be:

Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.

The first table complies with the restriction and has correct values for the variables:

x y

0 0

10 50

51 255

400 2000

The answer is the first table that  represents viable solutions for y = 5x.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

The given function is y = 5x

Where x is the number of tickets sold for the school play

And y is the amount of money collected for the tickets.

For this case we have the following equation:

The first table complies with the restriction and has correct values for the variables:

  x     y

  0     0

 10   50

 51   255

400 2000

Let's check all of the tables:

Table 1:

x = 0, y = 0               ⇒        0 = 5 · 0         ⇒          0 = 0  

x = 10, y = 50           ⇒      50 = 5 · 10        ⇒        50 = 50

x = 51, y = 255         ⇒    255 = 5 · 51        ⇒      255 = 255

x = 400, y = 2000    ⇒ 2000 = 5 · 400     ⇒   2000 = 2000

Since all calculations from the first table are correct.

We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

Learn more about function here:

https://brainly.com/question/2253924

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Find the slope: (7,4) (5, 6)

Answers

Answer:

Slope =  - 1

Step-by-step explanation:

(x₁ , y₁) = (7,4)   & (x₂, y₂) = (5, 6)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{6-4}{5-7}\\\\= \frac{2}{-2}\\\\= - 1[/tex]

blank ÷ 3/7= 7/15. ​

Answers

Answer:

1 4/45

Step-by-step explanation:

Which expression uses the associative property to make it easier to evaluate
8(1.3)

A. 8(3

B. 43

C. (8)

D. (8)

Answers

Answer:

The answer to this question is A. 8(3/5*1/4).

Answer:

b

Step-by-step explanation

i think

Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.

Answers

Answer:

a(45) =-209

Step-by-step explanation:

a(n) = a +(n-1)d

d=-6

we have to get a1

By using:

a(10) = a1 +(10-1)-6=1

a(10) = a1 +(9)-6 =1

          a1  =1+54=55

So:a(45) = 55 +(45-1)-6=-209

hope this helps

Please help!!!! Due soon!!
I’ll mark you the brainliest answer! Please

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

X+2

F(x) +3

PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!

Which equation models the trend line?
A- y = –1.3x + 2
B- y = 1.3x + 2
C - y= –1.3x – 2
D- y = 1.3x – 2

Answers

Sorry if it’s wrong but i think it’s B
sorry if i got it wrong

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

Mrs. Brown asked four students how to find the perimeter of a rectangle where l = length and w = width. Their answers are below. Which would NOT find the perimeter of a rectangle?
A. P = l + w + l + w

B. P = 2 x l + 2 x w

C. P = 2(l + w)

D. P = 2(l x w)

Answers

Answer:

i think its B but i'm not 100 percent sure sorry if im not but i think i am

Step-by-step explanation:

Answer:

It's D

Step-by-step explanation:

You l*w is the area.

You need 368cm of tape for a project, how many decimeters is this?

Answers

..............36.8 dm

368 cm of tape is equal to is 36.8 dm

someone please help me. show your work for brainliest.

find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0

Answers

Answer:

Attached file

Step-by-step explanation:

Is the relation shown in the arrow diagram a function? Justify your answer.

Alternative text


Yes. The input 0.8 and 0.4 have only one output.


Yes. Each output has only one input.


No. Each input has only one output.


No. The input 1.2 has 2 outputs.

Answers

Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

Plz help this is worth 30 points

Answers

Answer:

Choice A

Step-by-step explanation:

-28=-5x+7


Solve the two step equation

Answers

Answer:

x = 7

Step-by-step explanation:

-28=-5x+7

Add 28 and 5x to both sides

5x = 35

Divide both sides by 5

x = 7

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

−28=−5x+7

Step 1: Flip the equation.

−5x+7=−28

Step 2: Subtract 7 from both sides.

−5x+7−7=−28−7

−5x=−35

Step 3: Divide both sides by -5

-5x/-5 = -35/-5

x=7

Which fraction names the shaded part of the set?

Answers

It would be 4/12 which is equal to 1/3.

The answer is 1/3

The fraction of the shaded part of the set is 1/3.

Given is a figure in which there are total 12 parts with 4 parts shaded.

We need to find the fraction of the shaded part of the set,

To find the fraction of the shaded part of the set, we need to determine the ratio of the number of shaded parts to the total number of parts.

In this case, the total number of parts is 12, and the number of shaded parts is 4.

Therefore, the fraction of the shaded part can be calculated as follows:

Fraction of shaded part = Number of shaded parts / Total number of parts

Fraction of shaded part = 4 / 12

Simplifying the fraction, we get:

Fraction of shaded part = 1 / 3

So, the fraction of the shaded part of the set is 1/3.

Learn more about fraction click;

https://brainly.com/question/10354322

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Are the two given triangles similar? Show your work to support your answer.
Helpppp please

Answers

Answer:

no

Step-by-step explanation:

1 is obtuse one is acute

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