Given:
The expression is:
[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]
To find:
The single logarithm expression for the given expression.
Solution:
We have,
[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]
Using properties of the logarithm, we get
[tex]=\log_5(5x^3)^2+\log_5(x^2+6)^{\frac{1}{3}}[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]=\log_5(25x^6)+\log_5\sqrt[3]{x^2+6}[/tex]
[tex]=\log_5(25x^6)\sqrt[3]{x^2+6}[/tex] [tex][\because \log a+\log b=\log (ab)][/tex]
Therefore, the correct option is B.
Rewrite the expression in the form a^n (a^2/3)^-1
Answer:
a(2+3) i thinkk :((
Step-by-step explanation:
Write an expression for “Triple the sum of 33 and b”. *
Answer:
99+3b
Step-by-step explanation:
The original equation would be 3(33+b), but simplifying it would get 99+3b.
Plz need help it’s due today
Jack needs 84 inches of rope to tie some packages and 4 feet of rope for
another project. Does Jack have enough rope? Explain.
Answer:
is 132 enough? We need more info.
Step-by-step explanation:
His projects would need 84+(12*4) inches of rope. This means he needs 132 inches of rope. Do you know how much rope he has?
Hope this helps?
An 18-foot ladder is leaning against the side of a building such that its base makes an angle of 65º with the ground. How far from the side of the building, b, should the base of the ladder be placed? Round to the nearest tenth of a foot.
Hello!
This problem is about relating trigonometric values to an unknown side.
We are given an angle side, and we can determine that another angle made would be a 90 degree angle.
Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.
[tex]65+90+x+180[/tex]
[tex]x=180-90-65[/tex]
[tex]x=25[/tex]
After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.
[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]
[tex]b=16sin(25)[/tex]
Make sure to be in degrees when putting this in a calculator.
[tex]b=6.8[/tex]
Hope this helps!
Group like terms.. I was confused and need help asap!
HELP ASAP PLEASE its due today !!
Answer:
it is 3 in
Step-by-step explanation:
because 11 times 3 is 33 time 3 is 99
if my class starts at 11:45 am and ends at 1:15 pm but I leave early at 12:30 pm how much time have I spent in class?
Answer:
45 minutes
Step-by-step explanation:
you can disregard the 1:15 pm time
Answer:
45 minutes.
Step-by-step explanation:
You can ignore the 1:15 pm, as it's not relevant to the question of how much time you have spent in class.
11:45am to 12:30pm
Adding 15 minutes turns 11:45 am to 12:00 pm
Add another 30 minutes, it becomes 12:30 pm.
Calculate the sum of the minutes:
15+30 = 45 minutes.
A construction company spends w weeks extending an existing road. The existing road is 5 miles long. Each week the company completes 0.2 miles of the extension. Which equation models the total length (L) of the road?
A. L = 0.2w + 5
B. L = 0.2w - 5
C. w = 0.2L + 5
D. w = 0.2L - 5
Answer:
A. L=0.2w+5
Hope this helps!!! :)
Please answer and show work thank you:)
Answer:
Just use the first one and you divide.
Step-by-step explanation:
help BRAINLES tysmm
Answer:
64 units^2
Step-by-step explanation:
A = 1/2*b*h
A = 1/2 * 16 * 8
A = 64
Answer:
64 units
Step-by-step explanation:
i need more help pls and thx to who ever help
9 - 3/5 as a improper fraction
Answer:
42/5
Step-by-step explanation:
Answer: heres the right aswer 48/5.
This becomes the numerator of the improper fraction; the denominator of the new fraction is the same as the original denominator. For example, we can convert 9 3/5 into a mixed number: 9×5 = 45, and 45 + 3 = 48. Thus, 9 3/5 = 48/5.
someone please helppp
Answer:
7
Step-by-step explanation:
We know that alternate angles ( Z angles) are equal
So, the angle that is adjacent to (13x + 2) = (12x+3)
First, calculate the measure of the angle adjacent to (13x+2)
We know that the angles on a straight line add up to 180 degrees.
Therefore, the angle adjacent to (13x+2) = 180-(13x+2)
Simplify this to: 178-13x
So, now we have an equation
178 - 13x = 12x + 3
Rearrange to find the value of x
25x = 175
x = 7
Hope this helps.
A rectangle has a width of (4g) and a length of (28 - 3). The perimeter of the rectangle is 54 units. What is the
value of g?
Answer:
Step-by-step explanation:
sorry do not .know
To find the value of g, we need to use the formula for the perimeter of a rectangle, which is:
P = 2(l + w)
where P is the perimeter, l is the length, and w is the width.
We are given that the width is 4g and the length is 28 - 3 = 25, so we can substitute these values into the formula:
54 = 2(25 + 4g)
Next, we can simplify the equation by first distributing the 2:
54 = 50 + 8g
Then, we can isolate g on one side of the equation by subtracting 50 from both sides:
4 = 8g
Finally, we can solve for g by dividing both sides by 8:
g = 4/8
Simplifying this expression gives us:
g = 1/2
Therefore, the value of g is 1/2.
Hope this helps <3
Please give me Brainliest :)
If f(x)=x2, which equation represents function g?
A. g(x)=1/3f(x)
B. g(x)=3f(x)
C. g(x)=f(1/3x)
D. g(x)=f(3x)
1.2675 * 10^37 =
help pls its like 3am and for some reason my brain doesn't work :)
Answer:
the answer of the given equation is 1.2675E+37
Step-by-step explanation:
The computation is shown below:
Given that
= 1.2675 × 10^37
The above equation we need to solve
So,
= 1.2675 × 1E+37
= 1.2675E+37
So the answer after solving the equation is 1.2675E+37
The same would be considered and relevant
Hence, the answer of the given equation is 1.2675E+37
A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax?
Answer:
$160.14
Step-by-step explanation:
15% of 174.45 = 26.16
174.45 - 26.16 = 148.28
8% of 148.28 = 11.86
148.28 + 11.86 = 160.14
Draw and label an example of
two parallel lines that are perpendicular to a
third line.
Answer: Pretty sure it would look like this
Step-by-step explanation:
Can you guys help me........plz
Answer:
1
Step-by-step explanation:
Because of probability
substitiution method i really need help
Answer:
x = 7
y = 0
Step-by-step explanation:
Equation: 2x - 9y = 14
We are given that x = -6y + 7
So we substitute (-6y + 7) for "x" in the equation 2x - 9y = 14
* substitute *
2 ( -6y + 7 ) - 9y = 14
now we solve for y using basic algebra
step 1 distribute the 2
2 * -6y = -12y
2 * 7 = 14
now we have -12y + 14 - 9y = 14
step 2 combine like terms
-12y - 9y = -21y
now we have -21y + 14 = 14
step 3 subtract 14 from each side
14 - 14 cancels out
14 -14 = 0
now we have -21y = 0
step 4 divide each side by -21
-21y / -21 = y
0 / -21 = 0
we're left with y = 0
now to find x
To find x we substitute 0 for "y" in x = -6y + 7
* substitute *
x = -6 ( 0 ) + 7
-6 * 0 = 0
we're left with x = 7
Put the following in order from least to greatest. -34.5,-34.75,-34 1/4,-34
Answer:
A.) -34, -34 1/4, -34.5, -34.75
Step-by-step explanation:
No need to have -34 TWICE on a list from least to greatest or greatest to least. This is a typo for sure.
Choice c is the answer.
pls help with this immediately!!!! i’ll be giving brainiest to those who provide the correct answer. if u leave a link, have fun getting reported.
Answer:
I belive it is Parellelogram
I know the answer already but can someone explain it please
2187= 3^x
Answer is x=7
Answer:
3^x = 2187 is equivalent to log 3 (2187) = x. (the three is the small number that goes lower next to the g). Then, use a calculator to do log(2187) / log(3)
Step-by-step explanation:
SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST
7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)
where t is the number of hours since the patient took the medicine.
b. In the equation, what does the 500 tell us about the situation?
c. In the equation, what does the tell us about the situation?
d. Graph the equation for values of t between 0 and 4.
Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
3/4 squared is 9/16.
500 * 9/16
Multiply 500 by 9 to get 4500.
4500/16
Simplify 4500/16 to 1125/4 (4 is canceled out.)
1125/4
Divide 1125 by 4 to get 281.25
281.25
281.25 grams of aspirin will be in the patient body after two hours.
Are the triangles shown below similar to one another?
Answer:
yes
Step-by-step explanation:
...............................
1,345,456,234,234,345,234,-1234,567,890=? My subsititue is being mean so we can not use calculatars and I do not like to cheat anyway but in this case (yes)
Answer:
1,345,456,232,999, 777,344
Step-by-step explanation:
1,345,456,23 4, 2 3 4, 3 4 5, 2 3 4,
-1 2 3 4, 5 6 7, 8 9 0
1,345,456,23 2, 9 9 9, 7 7 7, 3 4 4
So we write the ones under the ones, tens under the tens starting from the right hand side.
The first numbers can be easily subtracted as 4 is greater than zero. Then comes 3 which is less than 9 so we borrow 1 digit from the left to right to make it 13 and subtract 9 from it and get a 4. Then we are left with 1 as we have already borrowed 1 digit. As 1 is less than 8 we again borrow 1 digit from the left to make it 11 and subtract 8 and get 3. So the next number is 4 as we have already borrowed 1 and it is less than 7 . Again we will borrow 1 digit from the left to make it 14 and subtract 7 to get a 7.
So the process continues until we get the answer.
Need help with this math problem.
I forget all my vocabulary so hopefully someone else can correct me if the words I use aren't correct. But the following is definitely a function. "Although two x values correspond to a singular y value, the function passes a vertical line test. Meaning that it is ok to have values of x that equal the same y values, however two values of y assigned to the same x value would make the function undefined."
Hope this helps! The only vocabulary in this that you would really need is "corresponding," and (if you learned about it, you may not have yet) "vertical line test"
help?!
???????????LK
Answer:
Equation: 65+1.50m=78.50
Solution to the equation= 9 minutes
Step-by-step explanation:
The parents have to give 65 dollars for their children to be under care till 6 o'clock. AFter 6 o'clock, they had to pay 1.50 dollars for one minute. This parent gives a total of 78.50 dollar for that day. So, the equation is :
65+1.50m=78.50
(btw, m stands for minutes)
So to solve the equation:
1.50m=13.50
m= 9
Can someone help me with this?
Answer:
a) 5.2m b) 23.6m
Step-by-step explanation:
a) tan 33° = x/8
=> x = tan 33 × 8
=> x ≈ 5.2 m
b) tan 25° = 11/x
=> x = 11/tan 25°
=> 23.6 m