If Log 20 = 1.301 what is the value of Logsub100 20?
I need the step by steps! I can’t find anything videos online to teach this to me
Answers
Answer:
[tex]log_{100}20 = 0.6505[/tex]
Step-by-step explanation:
log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)
This basically means:
[tex]10^{1.301} = 20[/tex] (This is the log in exponential form)
Since we don't know what [tex]log_{100}20[/tex] is equal to, we will say [tex]log_{100}20[/tex] = x
So to solve for [tex]log_{100}20[/tex] = x, you do the same thing. (convert to exponential form)
[tex]100^{x} =20[/tex]
Now you will notice that both of these equations are equal to 20.
Since 20 = 20,
we can say [tex]100^{x}[/tex] = [tex]10^{1.301}[/tex]
Another way of saying 100, is [tex]10^{2}[/tex] (make the bases the same)
Now we get [tex]10^{2x} = 10^{1.301}[/tex]
(we get 2x because an exponent to the power of an exponent ([tex]2^{x}[/tex]) is the same as 2 * x)
Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:
2x = 1.301
x = 0.6505
Related Questions
If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4
Answers
Answer:
x is equal to two.
Step-by-step explanation:
We know that 32 is a power of 2. It is in fact two to the power of five. So we can re-express that as:
[tex]2^{3x - 1} = 2^5[/tex]
Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:
[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]
When plotting points on the coordinate plane
below, which point would lie on the x-axis?
(6,0)
(0, 2)
(3.8)
(5,5)
Answers
Answer:
(6,0)
Step-by-step explanation:
Lisa bought bottles of soda for $2.50 each and a large pizza for $17. The total cost was $27. How many bottles of soda did Lisa buy?
A.
4
B.
3
C.
10
D.
6
Answers
Answer:
a
Step-by-step explanation:
27-17= 10$ 2.5 goes into 10 4 times
Rosa is making bracelets to sell at the craft fair.
Yesterday she made 36 in 8 hours. Find k the
(constant of proportionality) and write the rule
(equation) for this relationship.
Answers
9514 1404 393
Answer:
k = 4.5
y = 4.5x . . . y bracelets in x hours
Step-by-step explanation:
The constant of proportionality is the "unit rate", the number of bracelets per hour.
k = bracelets/hours = 36/8 = 4.5
The constant of proportionality is 4.5 (bracelets per hour).
__
The equation of a proportional relationship is ...
y = kx
For this relationship, ...
y = 4.5x . . . . . . y bracelets in x hours
Pls help extra points and mark brainlist easy reading
Answers
Answer: Its they second or last one but the second one sound more clear
Step-by-step explanation:
Find the measure of angle B
(9x+2) (5x-4)
Answers
Answer:
119
Step-by-step explanation:
[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]
Answer:
In the given figure, we know that (angle B+angle C)=180°.
[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]
Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.
Ella is Bono motorcycle and he’s taking out a loan in the amount of $15,000 her choice is for the loan or a 36 month loan at 6.50% annual simple interest and 48 month loan at 7.50 annual simple interest what is the difference in the amount of interest Ella would have to pay for these two loans
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
Considering the 36-month loan,
T = 36 months = 36/12 = 3 years
P = $15000
R = 6.5%
Therefore
I = (15000 × 6.5 × 3)/100
I = 292500/100
I = $2925
Considering the 48-month loan loan,
T = 48 months = 48/12 = 4 years
P = $15000
R = 7.5%
Therefore
I = (15000 × 7.5 × 4)/100
I = 450000/100
I = $4500
The difference in the amount of interest Ella would have to pay for these two loans is
4500 - 2925 = $1575
BRAINLIEST
please help and leave a small explanation:)
Answers
Answer:
Choose option D. Angle 3 and Angle 6
Step-by-step explanation:
Angle 3 = Angle 6 ( being alternate angels)
Hope it will help :)
Answer:
congruent means that they are the same angle so that being said, you can clearly tell that A, B, and C are not the same angles at all. and D is the only correct answer.
Step-by-step explanation:
I really hope this helps!
14) The ratio of green to red gummy bears in a package is 3:7. If there are a total of 80
gummy bears in the package, how many gummy bears are red?
Answers
Answer:
There are 56 red gummy bears
Step-by-step explanation:
The ratio of green to red gummy bears is = 3 : 7
Total gummy bears = 80
We need to find how many gummy bears are red?
We can write it as:
3x : 7x
where x is the common ratio.
We can write:
Quantity of Green gummy bears = 3x
Quantity of Red gummy bears = 7x
Total Gummy bears = 80
So, 3x+7x = 80
10x = 80
x = 8
Now, finding quantity of Red gummy bears by putting x = 8
7x = 7(8) = 56
So, There are 56 red gummy bears
Which expressions are equivalent to the expression 30x^2-5x-10
Answers
Answer:
10 (3 x - 1)
Step-by-step explanation:
Answer:
6 is equivalent as well as option 3
Consider the following pieces of identification a person might have in order to apply for a credit card:
B : Applicant present a birth certificate
D: Applicant presents a drivers license
M applicant presents a marriage license
Write Logical expressions
1. The applicant must present either a birth certificate, a drivers license or a marriage license.
2. The applicant must present any two of the following forms of identification: birth certificate, drivers license, marriage license
3. Applicant must present either a birth certificate or both a drivers license and a marriage license
Answers
Answer:
B v D v M ;
(B ٨ M) V (B ٨ D) V (M ٨ D) ;
B V (D ٨ M)
Step-by-step explanation:
Given :
B : Applicant present a birth certificate
D: Applicant presents a drivers license
M applicant presents a marriage license
1.)
This means that any one of the three must be presented :
Birth certificate OR Driver's license OR Marriage certificate
B v D v M
2.)
This means any two combination of the three certificates :
(birth certificate and marriage certificate) OR (birth certificate and driver's license) OR (marriage certificate and driver's license)
(B ٨ M) V (B ٨ D) V (M ٨ D)
3.)
That is birth certificate alone will suffice or a driver's incense and a marriage certificate
B V (D ٨ M)
What is the slope of a line that is perpendicular to the line shown on the graph?
Answers
Hope this helps!
EASY WORK!!! Please look at the picture and yes it’s easy for other people but not for me .
Answers
Answer:
#8 ---> 1/4 2/5 1/2 3/5
#9 ---> 6 3/8 6 1/2 6 3/4 6 5/6
#10 ---> 1.75 feet is the longest
the other lengths are 1.58 ft. and 1.67 ft.
Step-by-step explanation:
good luck!
it's easy if you turn them into decimals.
to do that, you just divide the numerator (top number) by the denominator (bottom number).
e.i. 1/4= .25 (25%)
1/2= .5 (50%)
3/5= .6 (60%)
Answer:
8. 1/4, 2/5, 1/2, 3/5
9. 6 3/8, 6 1/2, 6 3/4, 6 5/6
10. the length of the longest bar is 1.75 feet
Step-by-step explanation:
(just convert all the fractions to decimal, it will be easier for you to do!)
8.
3/5 = 0.6
1/4 = 0.25
1/2 = 0.5
2/5 = 0.4
9.
6 3/4 = 6.75
6 1/2 = 6.5
6 5/6 = 6.83
6 3/8 = 6.375
10.
1 7/12 = 1.583
1 2/3 = 1.6 or 1.7
Consider the figure below:
20
16
6
Determine the length of TZ.
Do not include spaces, units, or commas in your response.
Enter answer here. Do not include spaces or units.
Answers
Answer:
TZ = 24
Step-by-step explanation:
Similar Triangles
If two triangles are similar, then:
* All the corresponding side lengths are proportional by the same scale factor
* All the internal angles are congruent.
The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.
The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:
[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]
Cross-multiplying denominators:
4(6 + p) = 5p
24 + 4p = 5p
Solving for p:
p = 24
Then, TZ = 24
here’s the other one
Answers
Answer:
it is A
Step-by-step explanation:
integers between -9 and -2
Answers
Answer:
Step-by-step explanation:
the integers are -8,-7,-6,-5,-4,-3,
Find the measure of each angle in the problem: complementary angles with measures 4x and 5x-18 degrees
Answers
Answer:
42 degrees and 48 degrees
Step-by-step explanation:
If they are complementary, that means they add up to 90 degrees, so
4x + 5x - 18 = 90,
Solving,
9x - 18 = 90
add 18 to both sides
9x = 108
divide both sides by 9
x = 12
Now, to find the angle measures of each you have to substitute x = 12 into both angles.
4x --> 4 * 12 = 48 degrees
5x - 18 --> 5 * 12 - 18 --> 60 - 18 --> 42 degrees
What is the distance between -60 and -10 on
a number line?
units
90-80 -70 -60 -50-40-30-20 - 10
0
10
Answers
Answer:
50
Step-by-step explanation:
60-10
Write the ordered pair for each given point:
9) J ___
10) E ___
11) X ___
12) Z ___
13) B ___
14) D ___
15) R ___
16) W ___
I WILL PUT BRAINLIEST!!
Answers
e:-2,1
x:1,2
z:-8,-3
b:-4,-6
d:-5,1
r:-3,-8
w:0,9
e(-2,1)
x(1,2)
z(-8,-3)
b(-4,-6)
d(-5,1)
r(-3,-8)
w(0,9)
Plz help me I am timed plz don’t guess
DeArah made 88, 90, and 92 on her math tests this grading
period. What is the mean of her math test scores?
OA) 89
OB) 90
OC) 91
OD) 92
Answers
Answer:
B. 90
Step-by-step explanation:
Add them all, divide by 3.
88 + 90 + 92 = ?
270 = 270
270/3 = 90
Answer: 90
Step-by-step explanation:
You just add up all the numbers then divide by how many numbers there are.
( 88 + 90 + 92 = 270 ) There are 3 numbers so take 270 / 3 = 90.
Which expression is equivalent to 20+64
a.4+(16+60)
b.4+(5+16)
c.4+(16+60)
d.4(5+16)
Answers
Answer:
D. 4 (5 + 16)
Step-by-step explanation:
20 + 64 = 84
To solve this problem we have to simplify each of the expressions in the answer column:
A. = 80
(16 + 60 = 76) giving us
4 + 76 = 80
B. = 25
(5 + 16 = 21)
4 + 21 = 25
C. = 80
(16 + 60 = 76)
4 + 76 = 80
D. = 84
(5 + 16 = 21)
4 x 21 = 84
So The correct option is D. 4 (5 + 16)
Find the missing angle m
Answers
Answer:
m∠BAC=135°
Step-by-step explanation:
360- 84=276
276-141=135
Hope this helps!
Please mark me brainliest if you can. :)
Estimate with percents
Estimate each percent
50% of 39
Answers
Answer:
Step-by-step explanation:
50 percent of 39=
39/2=19.50
What is x>5 graph algebra
Answers
Answer:
Step-by-step explanation:
If a leaky faucet drips one ounce of water per minute approximately how many gallons per day is that
Answers
Answer:
Step-by-step explanation:
1hr=60mins
24hrs in a day
1hr=60oz
60oz x 24hrs =1440 oz
1440oz = 11.25gal
PLEASE MARK BRAILIEST
Find the value of X.
Answers
All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.
We now have 3x = 60
Divide both sides by 3:
x = 60/3
x = 20
Answer:
As in the given figure, all the sides are equal i.e., 5 units
It is a equilateral triangle.
In equilateral triangle all the angles are 60°.
[tex]3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}[/tex]
20 is the right answer.How to Simplify (7x+2)+(x+8)-2x
Answers
Answer:
Step-by-step explanation:
The answer to this should be 2(3x+5)
The simplified answer of this is 6x+10
I hope I helped you out.
Answer:
P: ()
E: 5^4 (example)
M:x
D: ÷
A:+
S:-
Me ayudan porfavor no entendí
Answers
¿Qué no entiendes para que pueda ayudarte?
Answer:
Como puedo ayudar?
Step-by-step explanation:
HELP!
What is the scale factor !
Answers
Answer:
A scale factor is usually a decimal which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.
Fifteen pieces of paper are numbered 1 to 15 and placed in a container. One piece of paper is selected at random, then replaced. The second piece of paper is selected at random. What is the probability that the first piece of paper is marked with a number less than 5 and the second piece of paper is marked with a 12?
Answers
12/15 and 1/15 is the prob
