Answer:
x=2.192785
Step-by-step explanation:
52x−1=12x
log(52x−1)=log(12x)
(2x−1)*(log(5))=x*(log(12))
2x−1=(
log(12)
log(5)
)*(x)
2x−1=1.543959*x
2x−1=1.543959x
2x−1−1.543959x=1.543959x−1.543959x 1.543959x
0.456041x−1=0
0.456041x−1+1=0+1
0.456041x=1
0.456041x
0.456041
=
1
0.456041
0.456041)
x=2.192785
Answer:
x = 2.19
Step-by-step explanation:
Given that,
An equation, [tex]5^{2x-1} =12^{x}[/tex]
To find,
The value of x.
Solution,
We have,
[tex]5^{2x-1} =12^{x}[/tex]
Taking log both sides,
[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]
We know that,
[tex]\text{log}\ a^n=n\ \text{log}a[/tex]
So,
[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]
So,
[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]
So, the value of x is equal to [tex]2.19[/tex].
Reference,
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Which point on the number line has the greatest absolute value? 1.P (-6) 2. Q (-2) 3. R (1) 4. S (5)
Answer:
P(-6)
Step-by-step explanation:
1.P (-6) 2. Q (-2) 3. R (1) 4. S (5)
The absolute value of a number disregards ir removed the negative sign from the number and treats as positive.
The absolute value of the numbers given in the option above :
P(-6) = |6|
Q(-2) = |2|
R(1) = |1|
S(5) = |5|
Hence, the option which has the greatest absolute value when arranged on a number line is |6|
Simplify:
3b - 3 and 3.5b + 4
Step-by-step explanation:
3b-3=3(b-1)
3.5+4=7,5
What should be added with -7/12 so that the sum is 0 ?
Answer:
7/12
Step-by-step explanation:
You need to get -7 to be a positive number so that its zero
-7+7=0
Then just add the denominator!!!
0/12=0
I hope this helps!!!!
8. Find 51% of 140. Round to the nearest tenth if necessary.
0 274.5
0 7,140.0
0 71.4
0 1.4
Answer:
0 1.4 is the answer
Step-by-step explanation:
well if you round thats why
Answer:
71.4
Step-by-step explanation:
Looked it up
Mariana is painting her new bedroom purple. She has decided to mix her own purple paint. To create the shade of purple she likes best, she must maintain a ratio of 5 ounces red to 6 ounces blue. If she has 21 ounces of blue paint, how much red paint will she need?
Answer:
Red paint needed = x = 17.5 ounces
Step-by-step explanation:
Ratio of red to blue paint = 5 ounces : 6 ounces
If she has 21 ounces of blue paint, how much red paint will she need?
Ratio of red to blue paint = x ounces : 21 ounces
Equate the ratios
5 : 6 = x : 21
5/6 = x/21
Cross multiply
5*21 = 6*x
105 = 6x
x = 105/6
x = 17.5 ounces
Red paint needed = x = 17.5 ounces
2) Add the following:
4a2 + b2 – 3ab, 3a2 – 7b2 + 8ab and a2 – b2 + 2ab
Answer:
8a2-8b2+7ab
Step-by-step explanation:
Putting together all of the a2 gets you to 8a2
Putting together all of the b2 gets you to -8b2
Putting together all of the ab gets you to 7ab
how to divide 134 800 by 240 using long method?
Answer:
sumando
Step-by-step explanation:
sumando 240 134800 veces
if Ralf can bike in 45 kilometers in 3 hours,what will be his average rate of biking
A.9 kilometers/h
B.12 km/h
C.15 km/h
D.20 km/h
Answer:
C.15 km/h
Step-by-step explanation:
speed= distance/time
If the ratio of milk cartons to juice boxes is 13:x and there are 39 milk cartons
and 18 juice boxes, what is the value of x?
Answer:
6
Step-by-step explanation:
Just write the amount of milk cartons and juice cartons as a fraction and simplify it
39/18 the biggest common divisor for this is 3 so we divide the fraction by 3
13/6 x = 6
please help me with this
Answer:
Y=MX+C is the equations of a straight line where C is the constant (y intercept)
Looking at a and b and the two graphs c and d
The function c represents the lowest value of the y intercept which is at -3
What are 3 of the 6 essential principles in Jefferson's Inaugural Address ?
brainliest if u get it right
Step-by-step explanation:
above guy is right. i donot about this.sorry and thanks.
Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?
Answer:
Step-by-step explanation:
Yes, she does
Answer:
Yes, she does
Step-by-step explanation:
PLS NEED DONE ASAP 10 MINUTES TILL DUE
Please find the value of x
One direction or Jonas brothers (only one right answer)
Answer:
one direction
Step-by-step explanation:
of course one direction
magbigay ng apat elektronikong
Answer:
Digital electronics.
Analogue electronics.
Microelectronics.
Circuit design.
Step-by-step explanation:
how do you calculate the midpoint of question e)? I am very desperate. please help
Answer:
(-1,-1)
Step-by-step explanation:
Midpoint equation: [tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})[/tex]
= [tex](\frac{-5/2+1/2}{2},\frac{-1/2-3/2}{2} )[/tex]
= [tex](\frac{-2}{2},\frac{-2}{2})[/tex]
=(-1,-1)
Use the formula and plug it in :)
Is y=-7 horizontal or vertical
Answer:
Horizontal
Step-by-step explanation:
Answer:
Y=7 is a horizontal line :)
Step-by-step explanation:
(The equation can be written as y=0x+7 ). Thus, y will always be 7 , creating a horizontal line.
g(-4) and g(4)=
Using the graph
Answer:
g(-4) = 1 g(5) = -3
Step-by-step explanation:
Step 1: Recognize this is in function notation
In funcion notation what is in the brackets are the x coordinates of the point
Step 2: Solve
We see the first one is g(-4) so we head to the left side of the x-axis and look for a point on the line that has the x value of -4. We see that at x = -4 y is equal to 1 so g(-4) is equal to 1
Next we take a look at g(5) so we look at the right side of the x-axis and see that the line crosses x=5 at y=-3 so the value of g(5) is -3
Using the figure below, identify the sum of the angles. Then identify the measurement of the missing angles.
Answer:
x = 135
Step-by-step explanation:
The angles at the bottom are right angles (90°)
The sum of interior angles in this rectangle is equal to 720°
Find the sum of interior angles
4x + 180 = 720 subtract 180 from both sides
4x = 540 divide both sides by 4
x = 135 this is also giving us the measure of missing angles.
can you please help me with this? 50pts if it's correct.
Harry and his family travel 204 miles in 3.4 hours. If they continue at this constant speed, how long will it take them to travel 420 miles?
Answe
7
Step-by-step explanation:
204 dived by 3.5
i did 204 dived by 60 then
420 dived by 60
The time taken by the family to reach is T = 7 hours
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed be represented as S
Now , the value of S is
S = D / T
speed = distance / time = 204 miles / 3.4 hours = 60 miles per hour
where , the distance D = 420 miles
And , T = 420 / 60
T = 7 hours
Hence , the time taken for 420 miles is 7 hours
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What is the solution to the system of equations below?
y = two-fifths x minus 3 and x = –10
Answer:
y = 1
Step-by-step explanation:
Substitute -10 for x so the equation would be y=2/5-10-3
that would then be y=4-3
which would equal 1
Just want answers/brainliest if right!
Answer:
the first one is D, the second is B, hope this helps
Step-by-step explanation:
Which equation has no solution?
6(5x+4)=3(10x+7)
6 times open paren 5 x plus 4 close paren is equal to 3 times open paren 10 x plus 7 close paren
18x+17=2(9x+8)+1
18 x plus 17 is equal to 2 times open paren 9 x plus 8 close paren plus 1
4(3x−7)=8(2x+3)
Answer:
The answer of the question is 6(5x+4)=3(10x+7)
License plates for motorcycles are different in each state. In New York they have five letters and in Maine they have four letters. How many more possibilities are there for license plates in New York? I feel like I'm overthinking this, someone help pls
Answer:
Not very many due to the fact that new york is more then just a busy place.
Step-by-step explanation:
Hope this helps Sorry if not
asap pls pls plslsspslsss
Answer:
The answer is the first one: y=3x+1
Step-by-step explanation:
For this question, you have to substitute different values of x and y in the table into the equation shown below the table.
y = 3x + 1
Sub x=4 and y=13
13 = 3(4) + 1
13 = 12 + 1
13 = 13
Sub x=2 and y=7
7 = 3(2) + 1
7 = 6 + 1
7 = 7
Sub x=0 and y=1
1 = 3(0) + 1
1 = 0 + 1
1 = 1
Sub x=-2 and y=-5
-5 = 3(-2) + 1
-5 = -6 + 1
-5 = -5
Hope it helps :)
Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)
Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here, we have,
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
Know more about Polynomials here:
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A landscaping company charges customers a
one-time fee and an hourly rate of $10. For 1
hour of service, the company charges $35.
3. Which equation represents the total
charge t for h hours of landscaping?
Ot=10h
=10h+25
0
=250 + 10
Answer:
t = 10h +25
Step-by-step explanation:
let x be the one-time fee
hourly rate is $10
From given condition,
35 = x + 10*1
x = 35 - 10
x = 25
Therefore equation will be
t = 10h +25
Bir kutudaki kalemlerin sayısı, mavi renkli kalemlerin sayısından 48 fazladır. kutudaki kalemlerin sayısı, mavi kalem sayısının 9 katı olduğuna göre, kutuda kaç tane mavi kalem vardır
Answer:
6
Step-by-step explanation:
Mavi kalemlerin sayısına x diyoruz
Kutudaki kalemlerin sayısı mavi kalemlerin sayısından 48 fazlaymış yani x+48 kutudaki kalemlerdir.
Kutudaki kalemlerin sayısı mavi kalem sayısının 9 katı ise x+48=9x olur
Şimdi denklemi çözmemiz lazım sol taraftaki x sağ tarafa - x olarak geçer sağ tarafda 8x kalır yeni denklemimiz 48=8x olur
Her iki tarafı da bilinmeyenin yanındaki sayıya böleriz bunun sonucu da 6=x çıkar
Mavi kalemlere de x demiştik yani 6 adet mavi kalem vardır.