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
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.
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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
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
#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%
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
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.
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:
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°
-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
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
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.
can someone answer the problem, please?
158
× 4
Answers
Answer:
the answer is 632
Step-by-step explanation:
just do some normal multiplication. :)
You need 368cm of tape for a project, how many decimeters is this?
Answers
..............36.8 dm
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
Simplify the expression.
49^3/2
Answers
Answer:
i think its 58824.5
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 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.
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
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:
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.
Plz help this is worth 30 points
Answers
Answer:
Choice A
Step-by-step explanation:
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.
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
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:
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.
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:
Which fraction names the shaded part of the set?
Answers
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.
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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
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