Explain which properties you would use to fully expand (the problem in the screenshot)
Answers
Answer:
Firs property used : Quotient Property
[tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]
Second property used : Product Property
[tex]log_b(XY) = log_bX + log_b Y[/tex]
[tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]
Third property used : Power Property
[tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]
[tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]
Fully expanded form:
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]
Related Questions
The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?
Answers
Answer:
The average distance from venus to mars is 2.5x10⁸ kilometers.
Step-by-step explanation:
We know:
d₁: average distance between venus and earth = 2.5x10⁷ km
d₂: average distance between mars and earth = 2.25x10⁸ km
We can find the average distance from venus to mars as follows:
[tex] d_{t} = d_{1} + d_{2} [/tex]
First, we need to equal the base power 10 so we can sum both distances:
[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]
Now, average distance:
[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]
Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.
I hope it helps you!
A farmer has 1235 trees to be planted on a rectangular parcel of land. if there are 24 trees planted in each row and each row must be completed before it is planted, how many trees will be leftover planting?
a. 0
b. 11
c. 55
d. 21
Answers
Answer:
c?
Step-by-step explanation:
It's the closest number to 51.
1245/24
Solve plz
500 - 2.23
Answers
Answer:
497.8
Step-by-step explanation:
500-2.23=497.77=497.8
Answer:
500-2.23500-2.23497.77hope it helps
stay safe healthy and happy.20 points! pls helppppp it's almost recognition day for me!!
I'm sorry but i'm bad at math ;-;
using the given figures, find the values of the unknown variables
(PROVING ISOSCELES TRAPEZOID)
Answers
2. x = 32, y = 52
3. x = 4, y = 5
assuming that all the shapes are regular
Can someone help on this?
Answers
Answer:
D
Step-by-step explanation:
p(x, y) reflection on y axis = p'(-x, y)
Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.
Answers
I need to know what is the factor is the ball height changing after each bounce
Answers
Answer:
After each bounce it reaches a height which is 75% of its maximum height after the previous bounce.
Step-by-step explanation:
Suppose Nicole ran 12 miles in four days. If she ran the same distance d each
day, how many miles did she run in one day?
Answers
Answer:
3 miles
Step-by-step explanation:
Since she ran 12 miles in 4 days, and all of them were equal, divide 12 by 4. Answer is 3 ^^
Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?
Answers
Answer:
A. (x − p) (x + p) = x² - p²
B. (x – 5) (x + 7) = x² + 2x - 35
C. (x + p) (x + p) = x² + 2px + p²
Step-by-step explanation:
To find - Multiply and match each of the following expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
Proof -
A.)
The expression is - (x − p) (x + p)
Now,
(x − p) (x + p) = x(x + p) - p(x + p)
= x(x) + x(p) - p(x) - p(p)
= x² + xp - px - p²
= x² - p²
⇒(x − p) (x + p) = x² - p²
B.)
The expression is - (x – 5) (x + 7)
Now,
(x − 5) (x + 7) = x(x + 7) - 5(x + 7)
= x(x) + x(7) - 5(x) - 5(7)
= x² + 7x - 5x - 35
= x² + 2x - 35
⇒(x − 5) (x + 7) = x² + 2x - 35
C.)
The expression is - (x + p) (x + p)
Now,
(x + p) (x + p) = x(x + p) + p(x + p)
= x(x) + x(p) + p(x) + p(p)
= x² + xp + px + p²
= x² + 2px + p²
⇒(x + p) (x + p) = x² + 2px + p²
will give brainliest to the correct answer (nor links or account will be reported) :)
Answers
Answer:
38, 26
Step-by-step explanation:
(x+78) + (x-12) +x = 180
3x + 66 =180
3x = 114
x = 38
P = 38-12=26
The box plot below represents some data set. What percentage of the data values are between 20 and 55?
Answers
Step-by-step explanation:
the solution is self explanatory
Find the volume of this right rectangular
prism.
3 in
9 in
. 3 in
[ ? ]in3
Answers
Answer 8.1
Step-by-step explanation:
3 x 9 x 0.3 = 8.1
Draw a scale diagram of 15 mm scale factor of 8
pleaseee help
Answers
do u want us to draw it 4 u ? cuz I can
Hi! Does anyone know the answer to this question? I’m bad at geometry and I’m struggling to get the answer. Please help!
Answers
if i understand the question it's 25
Step-by-step explanation:
6/21 equal 10/10+x
info x is GJ
6x=150
x=25
i used the similarity in trangle formula because he sayed that FG is parelel to HJ
Every day, Jackie practices basketball and guitar. Each day,
she practices basketball for 1.5 hours. If after 6 days she
practiced both basketball and guitar for a total of 21
hours, how many hours per day did Jackie practice guitar?
Answers
7=x + 2x - 5 - 58
Show work please
Answers
Answer:
x= 23.33
Step-by-step explanation:
7=x+2x-5-58
combine like terms
7=3x-63
add 63 to both sides
70=3x
divide by 3
x=23.33
pleaseeeee helppppp!!!
Answers
Answer:
The answer should be 18.
A culture started with 1,000 bacteria. After 7 hours, it grew to 1,200 bacteria. Predict how many bacteria will be present after 14 hours. round your answer to the nearest whole number.
Note: When solving for k, round to four decimal places
Answers
Answer:
1400
Step-by-step explanation:
I took the Application
Is this a polygon or trapezoid?
Answers
Answer:
No
Step-by-step explanation:
this is my opinion so No
The diameter of Circle X is 18 cm. The diameter of Circle Y is 29 cm. Which circle has the greater area and by how much? Use 3.14 for . Use pencil and paper. Describe two ways you can compare the areas of two circles. Explain when you might prefer to use each.
Answers
The difference is 405.845
Which pair of angles must be supplementary?
A. <1 and <5
B. <5 and <3
C. <4 and <5
D. <4 and <1
Answers
Answer:
I think C but I could be wrong
Step-by-step explanation:
Using the Pythagorean theorem what is the distance between (5,-3) and (9,1)
Answers
Step-by-step explanation:
Distance between (5,-3) and (9,1)=√(9-5)^2+(1-(-3))^2
=√4^2+4^2
=√16+16
=√32 units
It's not possible to calculate the distance between these points by pythagoras theorem .We can easily calculate it by distance formula I.e.√(x2-x1)^2+(y2-y2)^2
ASAP!! ILL GIVE BRAINLEST
In any given pair of similar three dimensional figures, if the ratio of the sides is a:b, then the ratio of
the surface areas is...
A:B
A^3:B^
A^-1:B^-1
A^2:B^2
Answers
Explanation:
It is 3 dimensional, so the surface area would be 3x bigger, so A^3:B^
Easy math please help!!
James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need? (Your answer should just be a number.)
Answers
Answer:
48
Step-by-step explanation:
Someone help me with this pls
Answers
Answer:
5-² is your correct answer
Answer:
=5^10/5^12
= 5^10-12
=5^-2
I WILL GIVE BRAINLIEST!!!!!!! A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes). 1.235 952 457 1,486 1,486 | 1,759 1,148 548 1,0371,864 | 1,245 866 1,431 a. Estimate the median time it will take all players to finish this game. minutes b. Find the interquartile range for this sample minutes
Answers
Answer:
a) median = 1,148 minutes
b) IQR = 549.5
Step-by-step explanation:
Q1 = (952 + 866) / 2 = 909
Q3 = (1431 + 1486) / 2 = 1458.5
IQR = 1458.5 - 909.0 = 549.5
Find the area of a circle with radius, r = 5.78m.
Give your answer rounded to 2 DP.
Answers
Answer:
104.96
Step-by-step explanation:
Hope this helps :)
Round your answer to the nearest hundredth
Answers
Answer:
2.30
Step-by-step explanation:
sin=opposite/hypotenuse
sin50=BC/3
BC=3sin50
BC=2.298≈2.30
Margaret is going on vacation to Alaska. She has 13 sweaters and needs to choose 6 to take with her on vacation. How many ways can she choose the 6 sweaters to take? Question 7 options: 1,716 1,235,520 78 575
Answers
Answer:
1,716
Step-by-step explanation:
I just took the quiz.
how do you give bainlist