Answer:
9 meters
Step-by-step explanation:
2²ˣ = 6ˣ⁻³
How would I convert this to logarithmic form, then solve in log M / log N format?
6 = 2 • 3, so
6ˣ⁻³ = 2ˣ⁻³ • 3ˣ⁻³
Then in
2²ˣ = 6ˣ⁻³
we would have
2²ˣ = 2ˣ⁻³ • 3ˣ⁻³
2²ˣ / 2ˣ⁻³ = 3ˣ⁻³
2²ˣ⁻ˣ⁺³ = 3ˣ⁻³
2ˣ⁺³ = 3ˣ⁻³
Now take the logarithm of both sides. The base you choose doesn't matter.
log(2ˣ⁺³) = log(3ˣ⁻³)
Recall that log(aⁿ) = n log(a), so that the equation reduces to
(x + 3) log(2) = (x - 3) log(3)
Solve for x :
log(2) x + 3 log(2) = log(3) x - 3 log(3)
(log(2) - log(3)) x = - 3 log(2) - 3 log(3)
Recall that log(a) - log(b) = log(a/b), and log(a) + log(b) = log(ab), so that
log(2) - log(3) = log(2/3)
- 3 log(2) - 3 log(3) = - 3 (log(2) + log(3)) = - 3 log(6)
So, we get
log(2/3) x = - 3 log(6)
x = -3 log(6) / log(2/3)
As I mentioned, the base of the logarithm doesn't matter, x will always have the same value of about 13.257.
eight more than three times a number is 32
Answer:
3 times 8 = 24 + 8 = 32
Step-by-step explanation:
Answer:
The number is 8
Step-by-step explanation:
3x + 8 = 32
3x = 24
x = 8
________
A number can be denoted as x. 3 times a number is 3 of that number, and 8 more than a number is that number plus 8. This relationship can be given by:
x + x + x + 8 = 32
(x + x + x) + 8 = 32
3x + 8 = 32
3x + 8 - 8 = 32 - 8
3x = 24
3x/3 = 24/3
x = 8
What is the area of this figure?
Please help!!
Answer:
16,200 im not sure if its right just multiply everything then add to multiplication x3
Select the sequences that are geometric.
18, 36, 54, 72,...
4.1, 8.2, 16.4, 32.8,...
answer:
Both sequences are geometric
Step-by-step explanation:
because both have common differences of 2 times
Answer:
4.1, 8.2, 16.4, 32.8,... is a geometric sequence.
Step-by-step explanation:
Given the first sequence
18, 36, 54, 72,...
we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).
Computing the ratios of all the adjacent terms:
[tex]\frac{36}{18}=2,\:\quad \frac{54}{36}=1.5,\:\quad \frac{72}{54}=1.33333\dots[/tex]
As the ratio is not constant.
Hence, 18, 36, 54, 72,... is NOT the geometric sequence.
Given the second sequence
4.1, 8.2, 16.4, 32.8,...
we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).
Computing the ratios of all the adjacent terms:
[tex]\frac{8.2}{4.1}=2,\:\quad \frac{16.4}{8.2}=2,\:\quad \frac{32.8}{16.4}=2[/tex]
As the ratio of all the adjacent terms is the same (constant ratio).
Hence, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.
Therefore, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.
The NBA regulations require the basketball court to be 132 feet long how many meters is the length of the court
Answer:
40.2336 meters
Step-by-step explanation:
Answer:
40.2336 meters
Step-by-step explanation:
Find the 74 thterm of -19, -14, -9, -4, ..
-0.9 -0.4. Make sense at all???
The base of the triangle is 16 feet and the height of the triangle is 6 feet. What is the length of the congruent sides of the isosceles triangle?
Answer:
6 times 16 equals 96 divided by 2 (or half) equals 48
Step-by-step explanation:
Ricky draws 24 cartoon Characters
every 3 minutes. Leo draws 28 cartoon
Characters every 4 minutes. Who draws
at a faster rate?
Answer:
Ricky
Step-by-step explanation:
24 divided by 3 equals 8 drawings per minute
28 divided by 4 equals 7 drawings per minute
Answer:
Ricky
Step-by-step explanation:
One way to solve this is finding out how many characters they draw per minute. In order to find this, you must divide the amount of cartoon characters by the time. For example, 24 divided by 3 is 8 and 28 divided by 4 is 7. Ricky draws 8 per min and Leo draws 7 per min. Therefore, Ricky draws at a faster rate. Hope this helps! :)
---------Help, please :(----------
Answer:
No
Step-by-step explanation:
The function is not one to one because there are multiple x-values for each y-value.
Graph the line.
y=-2x-3
please please hurry! 15 points
Answer:
you want to put your first pint at negative 3 on the Y axis. and then you want to go down 2 and right 1 to crest your slope.
someone knows what number multiplied twice by the same can give me results 1109 helpppp! Plis
Answer: Hey! no need to fret ok so your trying to find what multiplied by itself would get 1109. Make an algebra equation and solve for x:
x • x = 1109
x ≈ 33.302
Step-by-step explanation:Hoped I helped! Have a great day and put this on brainliest please. Thank you!
What’s the answer I just need a quick answer and my teacher thinks I’m wrong
Answer:
58.5
Step-by-step explanation:
9 x 13 = 117
117 divided by 2 = 58.5
√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3
Answer:
√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3
Step-by-step explanation:
√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3
For x3 + 2x2 + 7x4 - 3, which of the following statements is true?
O
A. The degree of the polynomial is 3.
O
B. Written in standard form, the polynomial is 7x4 + x3 + 2x2 – 3.
C. The polynomial is a binomial.
O D. The leading coefficient is 1.
The correct statement is written in standard form, the polynomial is 7x^4 + x^3 + 2x^2 – 3
What is a polynomial?
A polynomial function is a mathematical expression that is consists of different types of variables such as non-zero coefficients, positive exponents, and constants.
Types of polynomials1. Linear polynomial function: it is made up of a single variable raised to the power of 1. An example is y + 2
2. Quadratic polynomial function - it has a single variable and it is raised to the power of 2. An example is x² + 10x + 25
3. Cubic polynomial function: it has a single variable raised to the power of 3. An example is 5y³ + y²
4. Binominal function: this is a function that contains only two terms. An example is t³ - 400
To learn more about polynomials, please check: https://brainly.com/question/17822016
lol wanna help me im gunna cry
Answer:
no thanks
Step-by-step explanation:
i don't wanna help u nerd
Answer:
potato
yes potato
The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.
Answer:
an = an – 1 + 14; a1 = 9
Step-by-step explanation:
Answer:
Step-by-step explanation:
pizza represent p
$14=1p
$9=9*1/4=9/4
Pick an dinner for every single day?
Answer:
The last one please.
Sonia bought $25 concert tickets online, and paid a total of $269. To purchase the tickets there was a service fee of $17. How many tickets did she buy? Make sure to write an equation!
Answer: This question is confusing because I can't come up with a whole answer because I don't see a way to get to it no matter how many different ways I try to solve it ;-; The closest I got was $267 with 10 tickets and the fee
Step-by-step explanation:
WILL GIVE BRAINLYEST!!!!!!! PLEASE HELP!!!!
Find the slope of the line drawn on the graph. If your answer is a fraction, leave in simplified fraction form.
Answer: The slope would be 2/5.
Step-by-step explanation: To find the slope, it's rise divided by run. The 2 points on this graph are (-2,-1) and (3,1). So basically, change in y value, divided by the change in x value.
Find the 17th term of the arithmetic sequence -12, -8, -4, 0, ...
Answer:
130
Step-by-step explanation:
happy to help :0 have a good day sir
Answer:
52
Step-by-step explanation:
the sequence is increasing by 4
hence, the nth term in n = 4(n) -16
hence, 17th term = 4(17) -16 = 52
what is the slope- intercept form of 3x-y=8
Answer:
[tex]y=3x-8[/tex]
Step-by-step explanation:
slope intercept form is [tex]y=mx+b[/tex] so just get the equation to look like this[tex]3x-y=8\\3x-(3x)-y=8-(3x)\\-y=-3x+8\\y=3x-8[/tex]I don't understand this, plz help
Help with Geometry ,please
Answer:look at the angle bro and you got the angle just look at it good enough
Step-by-step explanation:
After Carlos purchased some stock, the price rose $6 per share: the price then dropped $8 per share. What integer represents the total change in the value per share.
Answer:
-2
Step-by-step explanation:
6+(-8)=-2
Find the slope of the line passing through the points (-5,3) and (-5,-7)
Answer:
The slope is Undefined.
Step-by-step explanation:
what is the difference b/w matrix and vector
Answer:
Matrix is array of number while vector is a list of numbers
Answer:
a vector is a form of a matrix having one row or one column or just say a "vector" is a list of values, a "matrix" is a table (or list of lists.................
Step-by-step explanation:
How do I graph this?
Answer:
So, in order to solve this, you need to know slope. Slope is equal to rise (up/down) over run (left/right). The number at the end, which in this case is 2, is the y-intercept. So, first, graph a point on the y-axis, which is 2. Next, you can place any other point on the line, as long as it follows your slope, which is 3/5. If you need a better explanation, just graph (0, 2) on the y-axis and also graph the point (3, 5).
Have a good one,
Philip
BRAINLIEST IS ALWAYS APPRECIATED! <3
Si nos situamos a 120 metros de distancia de un cohete, la vista hacia al extremo superior del mismo recorre un total de 130 metros. ¿Cuál es la altura total del cohete?
Answer:
creo que son 250
Step-by-step explanation:
4k - (2k - 7)
Helppppp
Answer:
2k+7
Step-by-step explanation:
4k - 1 ( 2k - 7 )
4k-2k +7
What is the solution of 9x – 8 = 34x – 12?
Answer:
Step-by-step explanation:
Let
V
be the number of vertices of a polyhedron,
F
the number of faces of that polyhedron, and
E
be the number of edges. The quantity
χ
=
V
−
E
+
F
is called the Euler characteristic (of a polyhedron). In the case of convex polyhedra,
χ
=
2
.
Consider, for example, a tetrahedron (which is the simplest solid). It has 4 faces,
1
2
(
4
)
(
3
)
=
6
edges, and
1
3
(
4
)
(
3
)
=
4
vertices. Thus we have
V
−
E
+
F
=
4
−
6
+
4
=
2
.
Euler's formula holds for all Platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron). Since a cube and an octahedron are dual polyhedra (each is formed by connecting the centers of the faces of the other), their
V
and
F
values are equal to the
F
an
V
values of the other. (The same is true for the dodecahedron and icosahedron).