The logarithm of a quotient can be written as a difference of logarithms:
[tex]\log_3\left(\dfrac uv\right) = \log_3(u) - \log_3(v)[/tex]
You can also think of this as a combination of the product-to-sum and reciprocal/power properties of logarithms:
[tex]\log_3\left(\dfrac uv\right) = \log_3\left(u \times \dfrac1v\right) = \log_3(u) + \log_3\left(\dfrac1v\right) = \log_3(u) - \log_3(v)[/tex]
To summarize,
[tex]\log_b(mn) = \log_b(m)+\log_b(n)[/tex]
[tex]\log_b\left(\dfrac mn\right) = \log_b(m) - \log_b(n)[/tex]
[tex]\log_b\left(m^n\right) = n \log_b(m)[/tex]
Please solve ASAP, I have MCAS tomorrow morning and I can't get through the practice test. I will mark as the BRAINLIEST whom will answer the first, QUESTIONS IN ATTACHMENT
Answer:
Part A: f(4) = 2
Part B: k = -7
Step-by-step explanation:
f(4) simply means what the y-value of the graph is when x = 4.
The parabola crosses the coordinate (4,2). In other words, when x = 4, the graph equals 2.
Part B asks to solve the equation: f(4) + k = -5
We already know from Part A that f(4) = 2. So simply substitute 2 for f(4):
2 + k = - 5
Substract 2 from both sides:
k = -7
What is the equation in slope intercept form of the line that passes through the points (-26,-11) and (39,34
Answer:
y2=34 y1= -11
x2= 39 x1= -26
y2-y1/x2-x1
34-(-11)/39-(-26)
34+11/39+26
45/65
m=9/13
Express 1500 cm: 37.5 m in the form 1:n
Plsss help meee. Worth 15 points<3
A sentence with antonyms has two words with
somewhat different meanings
opposite meanings
similar meanings
the same meanings
Answer:
a word opposite in meaning to another (ex bad and good)
Given the value of the hypotenuse c for a 45°-45°-90° triangle, write the
equations to represent sides a and b in terms of c.
a= c/√2
b= c/√2
Since side a and b are equivalent to each other and c is the length of side a or b × √2. Dividing c by √2 gives the value of a and b.
a×√2= c
b×√2= c
QUICKLY HELP AND LOOK AT THE PICTURE BELOW!!!
Answer:
the number of inches the grass grows each day
Answer:
A
Step-by-step explanation:
Answer my practice question. Today, the sum of Cameron's age and Christian's age is 102. 6 years ago Christian was 2 times older than Cameron.
Part A: Enter Cameron's age today.
Part B: Enter Christian's age today
Answer:
Cameron's age=48 Christain's age=54
Step-by-step explanation:
The current total age is 102.
You can do 102-6 as this will give you an idea of Christain's age as it is twice the age of Cameron.
102-6=96
96/2=48
Cameron's age=48
102-48=54
54=Christain's age
The volume of a cylinder is expressed by the formula V = 3.14 × r²h, where V stands for volume, r is the radius, and h is the height of the cylinder. Suppose the volume of a cylinder is known to be 141.3 m³ and its height is 5 m. Find the radius.
Answer:
The radius is 3 meters.
Step-by-step explanation:
[tex]\pi {r}^{2} (5) = 141.3[/tex]
[tex] {r}^{2} = \frac{141.3}{5\pi} [/tex]
[tex]r = 3[/tex]
3(-4x + 5y) - 3x(2 + 4y simplify please
Pauline’s Pie’s baked 150 pies before they opened the store on Sunday. Once the store opened, they sold 30% of the pies before noon. How many pies were sold before noon?
Answer:
105
Step-by-step explanation:
First, in problems like these, you have to find 30% of 150. 30% of 150 is 45. Now, since you want to see how many pies have been sold, you do 150-45, which will give you 105.
There are 30 teams in the NBA. What is the probability of randomly choosing the champion
without knowing anything about basketball?
Answer:
1/30
Step-by-step explanation:
P(champion)= 1/30
Can someone help me if not that's alright.
The sum of two number is 64. Their difference is 14. Find each of the numbers.
Answer:
25 + 39 = 64
Step-by-step explanation:
I hope this helps! If it does, please click "Thanks" to help me out!
The table shows the results from a survey of 335 randomly selected households with pets. this survey was conducted by a new pet store
that is opening nearby.
have children
do not have children.
total
1 pet
38
53
91
2 pets
85
41
126
3 or more pets
46
72
118
total
169
166
335
the pet store uses the data to make decisions about inventory. complete the given statement.
a customer is more likely to have 1 pet and no children than they are to have
A customer is more likely to have 1 pet and no children than they are to have 2 pets and no children.
How to find probability?
We are given a table with 3 columns titled "have children", "do not have children" and "total".
Under the row titled "1 pet", the respective probabilities are;
P(having 1 pet and children) = 38/91 = 0.4176
P(having 1 pet and no children) = 53/91 = 0.5824
Under the row titled "2 pets", the respective probabilities are;
P(having 2 pets and children) = 85/126 = 0.6746
P(having 2 pets and no children) = 41/126 = 0.3254
Under the row titled "3 or more pets", the respective probabilities are;
P(having 3 or more pets and children) = 46/118 = 0.3898
P(having 3 or more pets and no children) = 72/118 = 0.6102
The only probability that is lower than P(having 1 pet and no children) in the same way is P(having 2 pets and no children).
Read more about Probability at; https://brainly.com/question/24756209
#SPJ1
Answer:
The answer is "3 pets and children"
Step-by-step explanation:
Got it right on Edmentum
Please help i need this quick ill give brainlyiest
evaluate
A)
3
B)
2
C)
5
D)
0
Answer:
b)2
Step-by-step explanation:
2x2x2x2=16
16/7=8x
What is X in the equation
[tex] \frac{16}{7} = 8x \\ 8x = \frac{16}{7} \\ 8x \div 8 = \frac{16}{7} \div 8 \\ x = \frac{16}{7} \div 8 \\ x = \frac{16}{7} \times \frac{1}{8} \\ x = \frac{2}{7} [/tex]
Answer:
2/7=x
Step-by-step explanation:
16/7= 8x
8x= 16/7
x=16/7 x 1/8
x=2/7
Hope this helps!!
what’s the answer to this problem , figure out the area and perimeter of this triangle
Answer:
Area: 16.65m^2 (^2 means to the power of 2 exponent, or squared)
Perimeter: 26.3 m
Step-by-step explanation:
Triangle Area formula: bh/2
Plug it in: (7.4)(4.5)/2=16.65
Perimeter: Add the sides
12.6+7.4+6.3=26.3
Answer:
Step-by-step explanation:
Remark
Here are the formulas for what you are asking for.
P = s1 + s2 + s3
Area = height * base / 2
Givens
s1 = 12.6
s2 = 6.3
s3 = 7.4
height = 4.5
base = 7.4
The area is just slightly different than it normally is. The reason is the height. It is not directly connected to the base. The construction is called the base extended. See the givens for what that is.
Solution
Perimeter
P = s1 + s2 + s3 Substitute givens into the formula
P = 12.6+6.3 + 7.4
p = 26.3
Area
Area = (B * H)/ 2
Area = 7.4 *4.5 / 2
Area = 16.65
Can someone help me thanks
What’s the area and perimeter?
Answer:
•12
Step-by-step explanation:
fInd Little bit at end by pythogotous and find are of shaded the find areo of non shaded and take away with shaded triangle
tan2x=___
A. tan x/1+tan^2 x
B. tan x/1-tan^2 x
C. 2tan x/1-tan^2 x
D. 2tan x/1+tan^2 x
Step-by-step explanation:
tan2x = sin2x/cos2x
we know that ,
sin2x = 2sinxcosx sin2x = 2sinxcosx cos2x = cos²x - sin²xSince, tan2x = 2sinx*cosx/cos²x- sin²x
Dividing by cos²x in numerator and denominator.
We get ,
tan2x = 2sinx/cosx / 1- sin²x/cos²x Since, we get tan2x= 2tanx/1-tan²x Option (c) is correct option. Hope it will be helpfulCan someone help me I’ve already done it once and can’t redo it after this try I got them all wrong. Pls help
Determine the value of k so that the solutions of the equation x^2-kx+36=0 are the same value
The discriminant is calculated and set equal to zero. Thus, we obtain a double root.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ (-k)^2-4(1)(36)=0\ \Longrightarrow\ k^2=144 } \end{gathered}$}[/tex]
The possible values of the coefficient of the linear term are k₁=12, k₂=-12.
Can you please help me with 12 please?
Answer: y = 1/2x + 12
4.80 for 16 ounces of cereal how much did i spend per ounce?
Answer:
0.3 per ounce
4.80 / 16 = 0.3
0.3 × 16 = 4.80
What is the answer to the question ………
Answer:
Here is the solution...so option A is correct
The length of a Ping Pong table is 3 ft less that four times the width. The area of the
Ping Pong table is 85 square feet. What are the dimensions of the Ping Pong table?
Step-by-step explanation:
I hope you understand.....
Which of the following statements is true?
A.
The components of a vector must be nonzero.
B.
A vector’s magnitude is equal to the sum of the squares of its components.
C.
The magnitude of a vector is never negative.
D.
The direction of a vector is always less than the magnitude.
please help me find the answer to this, the work on it is wrong!!
Answer:
P=2(8+15)
2(23)
=46 units
A=L×W
8×15
=120square units
Which is the graph of the rose curve
Rose curve equations have two forms: r = a cos(nθ) and r = a sin(nθ) where a ≠ 0 and n is a positive integer. Petals have length determined by a. If n is odd, the number of petals is n. However, if n is even, the number of petals is 2n.
hope it helps aaa ^^'
On the sale price of cloth was reduced from rs 940to rs 760 .Find the discount
Answer:
180 RS discount
Step-by-step explanation:
because 940-760 is 180