Evaluate the log
[tex]Log_{3}81[/tex]=
Answers
Answer:
Solve \bf{log_3 \:81}log
3
81
Answer :
\bf{log_3 \:81=4}log
3
81=4
Factor the number 81 :
Prime factorization: 81 = 3 × 3 × 3 × 3
= 3⁴
So, \bf{log_3 \:81} = log _3\left(3^4\right)}
Apply Log Rule : \bf{log _a\left(a^x\right)=x}log
a
(a
x
)=x
\bf{log _3\left(3^4\right)} = 4log
3
(3
4
)=4
9514 1404 393
Answer:
log₃(81) = 4
Step-by-step explanation:
There are a few ways you can go at this. Perhaps the simplest is to recognize that 81 is a power of 3.
log₃(81) = log₃(3⁴)
log₃(81) = 4
__
You can also use the "change of base" formula:
log₃(81) = log(81)/log(3) ≈ 1.908485/0.4771213
log₃(81) = 4
__
A suitable calculator works, too.
![Evaluate The Log [tex]Log_{3}81[/tex]=](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/U45vbyBjjRLTHVF2BxaC5ouhRwoM5MDm.png)
Related Questions
What is the surface area of the triangular pyramid shown? Round to the nearest tenth. A triangular pyramid. The base has a base of 6 and a height of 4. A side has a base of 6 and height of 5.2. 2 sides have a base of 5 and height of 6.
57.6
69.6
73.2
87.6
please help me its for a quizz
Answers
Answer:
A 57.6
Step-by-step explanation:
I took the quiz
Answer:a
Step-by-step explanation:
Aaron invested $7,000 in an account paying an interest rate of 3\tfrac{5}{8}3 8 5 % compounded continuously. Mia invested $7,000 in an account paying an interest rate of 3\tfrac{3}{4}3 4 3 % compounded monthly. After 17 years, how much more money would Mia have in her account than Aaron, to the nearest dollar?
Answers
Answer:
$265.27
Step-by-step explanation:
Aaron invested $7,000 in an account paying an interest rate of 3 5/8 compounded continuously. Mia invested $7,000 in an account paying an interest rate of 3 3/4% compounded monthly. After 17 years , how much more money would Mia have in her account than aaron, to the nearest dollar?
Aaron:
A = Pe^rt
r = 3 5/8%
r = 3.625/100
r = 0.03625 rate per year
A = Pe^rt
A = 7,000(2.71828)^(0.03625)(17)
= 7,000(2.71828)^0.61625
= 7,000(1.8519693482716)
A = $12,963.79
Mia:
A = P(1 + r/n)^nt
r = 3 3/4%
r = 3.75/100
r = 0.0375 rate per year
A = P(1 + r/n)^nt
A = 7,000(1 + 0.0375/12)^(12)(17)
A = 7,000(1 + 0.003125)^(204)
A = 7,000(1.003125)^204
A = 7,000(1.8898660935607)
A = $13,229.06
Difference between Mia and Aaron account
Mia - Aaron = $13,229.06 - $12,963.79
= $265.27
Do NOT guess just answer the question correctly
Jason paid $239 to join the country club on January 1, 2020. there is a monthly fee of $50. It costs an additional $5 every time he reserves a tennis court and $5 for a bucket of tennis balls. Last year he played tennis 30 times and only brought 1 bucket of balls each time. how much did he spend in 2020?
Answers
Paid to join: $239
Monthly fee: $50*12months = $600 a year.
Played 30 times: 30*$5= $150.
30 bucket of balls: 30*$5= $150
$239+$600+$150+$150
Answer: He spent $1139.
the areas of three rectangle is 3:7:8 . if the average area of the three rectangle is 18cm2,find the different between the biggest rectangle and the smallest rectangle .
Answers
Answer:
15 sq cm
Step-by-step explanation:
Let 3x = area of 1st rectangle
7x = area of 2nd rectangle
8x = area of 3rd rectangle
(3x + 7x + 8x)/3 = 18
3x + 7x + 8x = 54
18x = 54
x = 3
3x = 3(3) = 9 = area of 1st rectangle (smallest)
8x = 8(3) = 24 = area of 3rd rectangle (biggest)
24 - 9 = 15 sq cm
Please answer correctly! I will mark you as Brainliest!
Answers
Answer:
1024pi/3
Step-by-step explanation:
to find the volume of a sphere you use the equation 4/3*pi*r^3
4/3*pi*8^3
4/3*pi*512
2048/3 pi
This is the volume of the whole sphere but we only need half so we can just divide by 2.
(2048/3 pi)/2
1024/3 pi
plz help and explain
Answers
Answer:
Step-by-step explanation:
4.)
x-4
5.)
Eucardo's collection of butterflies: 12+2x
7. The answer is letter A or letter D
Find the next two terms in the sequence.
40, 10, –20, –50, . . .
A.
60, 80
B.
–80, –110
C.
–70, –100
D.
–70, –90
Answers
Answer:
B.
–80, –110
Step-by-step explanation:
-80 and -110
It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30
-50-30=-80
-80-30 =-110
-80
First Identify the sequence being made here.
10-40 = -30
-20-10 = -30
-50-(-20) = -30
Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.
-50-30 = -80
The next term is -80.
Hope I helped!
215% of what number is 43
Answers
Answer:
20
Step-by-step explanation:
215% of 20 is 43
Answer:
20
Step-by-step explanation:
2.15x = 43
43 divided by 2.15 is 20! :)
Your sister's job requires a lot of traveling. Last week, she drove a different distance each day: 135, 150, 86, 54, and 105 miles. Find the first quartile of the set of distances.
Answers
Answer:
70
Step-by-step explanation:
Your sister's job requires a lot of traveling. Last week, she drove a different distance each day: 135, 150, 86, 54, and 105 miles. Find the first quartile of the set of distances.
We rearrange the terms
54, 86, 105, 135, 150
First Quartile formula =
1/4 (n + 1)th term
Alan made $396 for 18 hours of work. At the same rate, how much would he make for 11 hours of work?
Answers
Answer:
Step-by-step explanation:
I think it is helpful to set this up as a proportion as it is the easiest way in my opinion.
1st step: 396/18 and x/11
This is the way you set up the proportion.
2nd Step: You would have to multiply 396 and 11 then divide the value by 18.
396x11 = 4,356
4,356/18 = 242
x=242 Dollars
Answer: 242 dollars
Therefore, Alan would make 242$ while working at the same rate for 11 hours.
A gray crayon is made with 5mL of black wax for every 6 mL of white wax
Answers
Answer:
the answer is option B and option C
Step-by-step explanation:
Y= -16x^2+181x+59 is the question
Answers
Answer:16x2 + 181x + 59
Step-by-step explanation:It cannot be factored
Answer:
Step-by-step explanation:
11.26 is the correct answer
Zain bought ice cream and sherbet at the grocery store and is placing the containers in the freezer. The container of ice cream was sold in a 10” 14” 12” container, and the sherbet was sold in an 11” 18” 9” container. How much less space does the container of ice cream occupy than the container of sherbet?
Answers
Answer:
102 in^3.
Step-by-step explanation:
Volume of the ice cream container = 10*14*12 = 1680 in^3.
Volume of the sherbet container = 11*18^9 = 1782 in^3.
So the answer is 1782 - 1680
= 102 in^3.
Find the measure of angle A
can you show me how to solve this problem
Answers
Answer:
A = 20 degrees
Step-by-step explanation:
Both legs of the triangles are 2x and equal, so we know that the triangle is isoceles. That means both acute angles are equal as well.
In a triangle there are 180 degrees
180 - 140 = 40
40 remainding degrees/ 2 equal angles
A = 20 degrees
Answer:
angle a = 20
Step-by-step explanation:
So like the person above me said
180-140=40
40 divided by 2 is 20
(I don't know if I can delete answers so I just fixed this one)
What’s the answer to this?!
Answers
Answer:
19.1
Step-by-step explanation:
Pythagorean theorem: a^2+b^2=c^2
4^2+7^2=c^2
16+49=c^2
C^2=65
c=hypotenuse =root 65
Perimeter =7+4+root65=19.1ft
Help plz I need the answer real quick???
Answers
Answer:
Distance between mall and library is 6.32 miles.
Step-by-step explanation:
Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).
Since, distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
By this formula,
Distance between (2, 4) and (8, 4) will be,
Distance = [tex]\sqrt{(8-2)^2+(2-4)^2}[/tex]
= [tex]\sqrt{36+4}[/tex]
= [tex]\sqrt{40}[/tex]
= 6.32 miles
The circumference of a circle is 69.08 millimeters. What is the circle's diameter? Use 3.14 for .
Answers
Answer: 22
Step-by-step explanation: Divide the total by pi or 3.14 and the diameter is 22 and the radius is 11
A parabola can be drawn given a focus of (4, -8) and a directrix of y=-6
. What can be said about the parabola?
Answers
Answer:
y = 1/4 (x-4)² - 7
Step-by-step explanation:
Point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
√(x-4)²+(y- -8)² = √(y- -6)²
(x-4)² + (y+8)² = (y+6)²
(y+8)² - (y+6)² = (x-4)²
(y²+16y+64) - (y²+12y+36) = (x-4)²
y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
4y = (x-4)² - 28
y = 1/4 (x-4)² - 7
standard formula of parabola: y = a(x-h)² + k (h,k): vertex (4,-7)
The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
What is Parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
Now,
Let a point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
Hence, We can formulate;
⇒ √(x-4)²+(y- (-8))² = √(y- (-6))²
⇒ (x-4)² + (y+8)² = (y+6)²
⇒ (y+8)² - (y+6)² = (x-4)²
⇒ (y²+16y+64) - (y²+12y+36) = (x-4)²
⇒ y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
⇒ 4y = (x-4)² - 28
⇒ y = 1/4 (x-4)² - 7
Thus, The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
Learn more about parabola visit:
https://brainly.com/question/29635857
#SPJ2
a weather man is found to be correct 80% of the time ( 80 out of 100 ) if he gives 375 forecasts how many of them will be correct
Answers
A soccer player is going to kick a soccer ball from one corner of a field to the opposite corner. If the field is 68 meters long and 51 meters wide, how far will the soccer player have to kick the ball?
Answers
Answer:
85 m.
Step-by-step explanation:
Use Pythagoras Theorem:
x^2 = 51^2 + 68^2
= 7225
x = √7225
= 85
OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS-
Answers
Sorry about that, here's the answers.
1. expanded form
2. regroup
3. place value
4. A, C, D. The strategy I used was place value and regrouping. I chose these by using place value to help me understand how to regroup and what each option would sum to.
5. D. Ten thousands place
Answer:
1. Expanded form
2. Regroup
3. Place value
4. A, C, D,
C is correct because a one is equal to 1.
1 x 4,200 = 4,200. Therefore 4,200 ones is equal to 4,200. D is correct because a ten is equal to 10. 10 x 420 = 4,200. Therefore, 420 tens is equal to 4,200. A is the same as the rest but with hundreds.
5. A
Step-by-step explanation:
1. Expanded form refers to when a number is separated by place values. Like 555,555 being turned into 500,000 + 50,000 + 5,000 + 500 + 50 + 5.
2. Regrouping is separating number by places values to do an equation like subtraction. For example, 5 tens - two ones.
3. Place values refers to a digit in a number like the 1 in 2,134 is in the hundreds place and the 5 in 5,677 is the thousands place.
4. My answer explains it.
5. A is correct as the 2 in 321,705 is 20,000 while the 2 in 32,571 is 2,000. 20,000 is 10 times larger than 2,000. So the answer is 10.
find the GCF of 30x^3 and 12x^4
Answers
Answer:6x^3
Step-by-step explanation: That’s the biggest factor that can be taken out of both equations
(WILL GIVE BRAINLIEST) What is the y-intercept of the line shown?
4
1
-4
-1
Answers
can you please help? no links please. I have to pass this
Answers
Answer:
Step-by-step explanation:
10 times 10 times 60 = 6000
6000 - (1600 + 2000) = 2,400
Answer:
7200 [tex]in^3[/tex]
Step-by-step explanation:
volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)
[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]
Match the equivalent expressions.
Pls help me
Answers
Answer:
1/9 = 3^-2
1/8 = 2^-3
9 = 3²
8 = 2³
50 POINTS TO ANSWER CORRECTLY AND MARKED BRAINLY
What is the IQR (interquartile range)?
Minimum value = 5
Q1=7.5
Median = 13
Q3=17
Maximum value = 23
Enter your answer in the box.
Answers
Answer:
IQR (interquartile range) = 9.5Step-by-step explanation:
Q¹ = 7.5
Q³ = 17
IQR = Q³ - Q¹
IQR = 17 - 7.5
IQR = 9.5
FR33 P0IN7$ F0R B43$
BR4INLI3$T IF Y0U TR4N$L4T3 T7IS
Answers
Answer:
fr.ee points for base brain.liest if you translate this.
Step-by-step explanation:
ok
Answer:
fr.ee points for base brain.liest if you translate this.
Step-by-step explanation:
Me smurt
(3 × 10^4 ) + (6 × 10^-2)
Answers
Answer:
(3 × 10^4 ) + (6 × 10^-2)
30000+6/100
(3000000+6)/100=3000006/100=30000.06
Does anyone know the answer to this?
Answers
Answer:
10.5.
Step-by-step explanation:
By similar triangles:
IJ / 21 = 8 /(8+8) = 1/2
IJ / 21 = 1/2
IJ = 1/2 * 21
= 10.5.
What is the approximate volume of this sphere?
Don't forget to use the formula: V=43πr3
A 392.5 cm3
B 523.3¯ cm3
C 3,140 cm3
D 4,186.6¯ cm3
Answers
Answer: The correct answer is B. 523.3...cm^3
Step-by-step explanation:
4/3*pi*r^3 is the formula
first, divide the diameter by 2 to get the radius, now, you will begin solving.
4/3*5^3*3.14
5*5*5=125
4/3*125*3.14
125*3.14=392.5
4/3*392.5
523.3...