The value of [tex]\rm log_7343[/tex] is 3 the option fourth is correct.
It is given that the [tex]\rm log_7343[/tex]
It is required to find the value of [tex]\rm log_7343[/tex]
What is the logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have [tex]\rm log_7343[/tex]
We know the logarithm properties that:
[tex]\rm log_ac^n = n\times log_ac[/tex]
[tex]\rm log_ca = 1 \ \ if \ a=c[/tex]
We can write [tex]\rm log_7343[/tex] as
= [tex]\rm log_77^3[/tex] (∵ 343 = [tex]7^3[/tex])
= [tex]\rm 3log_77[/tex] [tex]\rm (log_ac^n = n\times log_ac)[/tex]
= 3 [tex](\rm log_ca = 1 \ \ if \ a=c)[/tex]
Thus, the value of [tex]\rm log_7343[/tex] is 3 the option fourth is correct.
Learn more about the logarithm here:
brainly.com/question/163125
Answer:
D
Step-by-step explanation:
Post Falls High School in Idaho has 1160 students and is growing by 22 students per year. Richmond High School in Indiana has 1900 students and is shrinking by 15 students per year.
The radius of a circle is 13 in. Find its circumference in terms of T(pi)
Answer: 40.82
Step-by-step explanation: You have to multiply pi and 13 to get the answer
Every time Martina orders Chinese food, she gets egg drop soup. So, she decides to learn how to make it herself. Her recipe calls for 8 cups of broth, but she can only find 32-fluid-ounce cartons at the store. How many cartons should she buy?
cartons
Answer:
2 cartons
Step-by-step explanation:
Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.
Next, we need to find what we need to know, how many fluid ounces are in a cup? There are 8 fluid ounces in 1 cup!
Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).
8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces
So! Martina needs 64 fluid ounces of broth to be able to create her recipe!
But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!
64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons
Melina needs to buy 2 cartons of broth to be able to complete her recipe.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Hello people ~
Find the area of a rectangular blackboard whose length and breadth are 120 cm and 100 cm, respectively.
Thanks in advance
Answer:
12000 cm²Step-by-step explanation:
Area of rectangle is:
A = lw, where l - length, w - widthSubstitute the values into equation and find the area:
A = 120*100 = 12000 cm²Area
Length ×Breadth120(100)12000cm²For a research project on rodents, 41 chipmunks were tagged and released. Later, researchers counted 320 chipmunks in the area. Of the chipmunks they counted, 16 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?
820 rodents in total
------------------------------------
create a proportional equation:
[tex]\sf \dfrac{present \ rodents}{present \ marked \ rodents} = \dfrac{later \ rodents}{later \ marked \ rodents}[/tex]
[tex]\hookrightarrow \sf \dfrac{x}{41} = \dfrac{320}{16}[/tex] ( Let the total population be x )
[tex]\hookrightarrow \sf x= \dfrac{320*41}{16}[/tex]
[tex]\hookrightarrow \sf x= 820[/tex]
Let that be x
[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{16}{320}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{1}{20}[/tex]
[tex]\\ \rm\Rrightarrow x=41(20)=820[/tex]
Answer number 10 please. Thank you.
what is equivalent to 24x + 32y
Answer:
8*(3x-4y)
Step-by-step explanation:
Just did the test
How do you calculate the diameter of a circle
Answer:
diameter is twice the radius ( when given)
simplify:
A. -9(-2)
B. -9(+6)
C. -9/-3
D. 9/-1
Answer:
A. 18
B. -3
C. 3
D. -9
Step-by-step explanation:
Simplify:
A. -9(-2) <== when multiplying two negatives, they make a positive
-9(-2) = 18
B. -9(+6)
-9(+6) = -3
C. -9/-3 <== when dividing two negatives, they make a positive
-9/-3 = 3
D. 9/-1 <== when dividing a # with a negative, it makes a negative
9/-1 = -9
Hope this helps!
true or false are these lines are intersecting
Answer: True.
Step-by-step explanation: Lines that don't intersect are parallel lines, and those are not parallel. Parallel lines look like the image below. The point of intersection in your image is where K is.
Hope this helps! :)
The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.
What is the answer to this?
Answer:
59.319
Step-by-step explanation:
V=a3=3.93≈59.319
What is the mean and median
of these data:2,5,9, 11, 19
Answer:
mean = 9.2
median = 9
Step-by-step explanation:
mean = sum of data / number of data
mean = 2 + 5 + 9 + 11 + 19 / 5
= 46 / 5
= 9.2
median = middle number
= 9
Cyrus' tennis match lasted two and a half hours. Everett's tennis match lasted four and a half hours. How much longer did Everett’s match last?
Answer:
2 hours
Step-by-step explanation:
4.5 - 2.5 = 2
Hav ean amazing day!!
Please rate!!
A machine that assembels a car is an example of a
Answer:
Mechanical
Step-by-step explanation:
Those ttype of machines build epic cars
Determine the root of the equation by factoring 3x^2-x-4=0.
I have both of the roots solved, but when I verify it does not come out to a zero. Why is this?
Answer:
The roots you found should be [tex](3x-4)(x+1)=0[/tex], which shows that [tex]x = \frac{4}{3} \\ x=-1[/tex]
Step-by-step explanation:
You likely messed up when trying to one or both of the roots back into the equation.
if y=5x-3, find the value of y when x=-2
Answer:
y = -13
Step-by-step explanation:
y = 5(-2) - 3
y= -10 -3
y = -13
Step-by-step explanation:
or, y = 5x - 3
or, y = 5 (-2) - 3
or, y = -10 - 3
y = -13
There are ten balls in a bag. Three balls are black and seven balls are white. a One ball is chosen at random and then replaced. Then a second ball is chosen at random. Here are two events. D: the first ball is black S: the second ball is black Are D and S independent? Show your working.
Answer:
Given:
Total balls = 10Black balls = 3White balls = 7⇒ P(black ball) = 3/10 = 0.3
⇒ P(white ball) = 7/10 = 0.7
If one ball is chosen at random and replaced, the probabilities do not change between the first and second ball.
Let event D = first ball is black
Let event S = second ball is black
P(D) = 0.3
P(S) = 0.3 (since the first ball is replaced)
⇒ P(D ∩ S) = P(D) × P(S)
= 0.3 × 0.3
= 0.09
For Independent Events we know that: P(A ∩ B) = P(A) × P(B)
Therefore, as P(D ∩ S) = P(D) × P(S) the events are independent.
Please help 3(2x+1)+2(x+4)
Answer: 8x+11
Step-by-step explanation:
Answer the question based on the graph
What is the Y-intercept?
What is the asymptote?
Angle 1 and Angle 2 are complementary angles. The measure of Angle 1 is 66 degrees. The measure of Angle 2 is 2x degrees. Find the value of x.
Answer:
Step-by-step explanation:
Complementary angles add up to 90°
∠1 + ∠2 = 90°
66 + 2x = 90°
2x = 90° - 66°
2x = 24°
x = 24/2
x = 12°
∠2 = 2*12
∠2 = 24°
Raegan mows two lawns, The first lawn is 5 meters long and 4 meters wide. The area of the second lawn is 2 times as big but has the same width as the first, what is the length of the second lawn
By solving a simple linear equation, we conclude that the length of the second lawn is 10 meters.
What is the length of the second lawn?We know that one of the lawns is 5 meters long and 4 meters wide, then its area is:
A = 4m*5m = 20m^2
The other is two times as big, so its area is 40m^2 and has the same width as the first one (4 meters), so if we define the length as L we can write:
40m^2 = 4m*L
Solving for L we get:
(40 m^2)/4m = L = 10m
The length is 10 meters.
If you want to learn more about area, you can read:
https://brainly.com/question/24487155
Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the other zero
-2, square root 5, 10/3
Step-by-step explanation:
The root is
-sqr root of 5.
First, we put these roots in the forn of
[tex](x - a)[/tex]
where a is the root
So we have
[tex](x - ( - 2))(x - \sqrt{5} )(x - \frac{10}{3} )[/tex]
[tex](x + 2)(x - \sqrt{5} )(3x - 10)[/tex]
[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )[/tex]
To get rid of that square root, let have another root that js the conjugate posive root of 5.
[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )(x + \sqrt{5} )[/tex]
[tex](3 {x}^{2} - 4x - 20)(x {}^{2} + 5)[/tex]
Which will gives us a rational coeffeicent of degree 4.
Why we didn't do
[tex](x - \sqrt{5} )[/tex]
?
Because
[tex](x - \sqrt{5} ) {}^{2} = {x}^{2} - 2 \sqrt{5} + 5[/tex]
If we foiled out we will still have a irrational coeffceint.
Fill in the missing numbers in the sequence: 0.1, 0.25, 0.4, __, 0.7 ?
Please answer this order of operations question
-8 - (-2 + 7)2
Answer:
-18
Step-by-step explanation:
= -8 - (-2 +7) x 2
= -8 - 5 x 2
= -8 - 10
= -18
How many factors of 1000 can be divided by 20 without a remainder?
Answer: 6
Step-by-step explanation:
PLEASE HELP ME WITH THIS
simplify 1/2+3/4-2/7×(1/3+2)
Answer:
the answer is 7/12..
thank u
The volume,V, of any cube with a side length,s, can be determined using the formula V= as to the third power. what is the volume, in cubic centimeters, of a cube with a side length of 2.3 cm.
A.5.29
B.6.9
C.8.026
D.12.167
Answer:
D
Step-by-step explanation:
Volume of cube = s^3
volume = 2.3^3 = 12.167 cm^3
evaluate the expression when m=3 and n=8. 40/n-m=
Answer:
2
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
If n = 8 and m = 3, 8 - 3 = 5.
40 ÷ 5 = 8
Hope this helps