Answer:
im about to solvee
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.
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.
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
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:
The gravity coaster travels 340 meters in 10 seconds. The hurricane coater travels 190 meters in 5 seconds. Both coaters travels at a constant. Mario wants to ride the faster roller coaster. How fast does the gravity coaster travel? Find the unit rate.
Answer:
Mario would like to ride Hurricane coaster.
Gravity coaster travels at a unit rate of 34 m/s.
Step-by-step explanation:
Distance traveled by Gravity coaster = 340 meters
Time taken by Gravity coaster = 10 seconds
Distance traveled by Hurricane coaster = 190 meters
Time taken by Hurricane coaster = 5 seconds
Unit rate is nothing but the distance traveled by each coaster in unit time.
To find the unit rate, we can use the following formula:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Unit rate or speed of Gravity coaster = [tex]\frac{340\ m}{10\ s} = 34\ m/s[/tex]
Unit rate or speed of Hurricane coaster = [tex]\frac{190\ m}{5\ s} = 38\ m/s[/tex]
So, the faster coaster is the Hurricane coaster.
Mario would like to ride Hurricane coaster.
Gravity coaster travels at 34 m/s.
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:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Answer:
5.3 hours
Step-by-step explanation:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Time it takes 1 person to preprate one bag = 2/3 min
Time it takes each friend of Ashley: 75% more than 2/3 min
75% × 2/3 minutes
=75/100 × 2/3 minutes
= 0.75 × 2/3
= 0.5 min
= 1/2 minutes
Friends = 2/3 min + 1/2 min = 7/6 min per friend
Time it takes Ashley and the 4 friends working along to prepare one bag:
Ashley's time per bag = 1 bag / (2/3) min
= 3/2 bag/min
Ashley's friends time per bag = 1 bag / (7/6) min
= 6/7 bag/min
Total = 3/2 bag/min + 4 × 6/7 bag/min
= (3/2 +24/7)
= 69/14 bag/min
Time it takes to prepare 1575 bags of samples = number of bags / number of bags per min
= 1,575 bags / (69/14) bags/min
= 319.56 min
Convert to hours:
356.56 min / 60 min per hour
= 5.3 hours
Answer:
3.5 hrs
Step-by-step explanation:
Khan Academy!
Please help!! Need this turned in!! In the picture!!
Answer:
I hope this helps please name me brainliest
Step-by-step explanation:
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
A stack of cards contains 17 red cards and 9 black cards. What are the odds against drawing a red card?
A. 9:17
B. 17:9
C. 9:26
D. 17:26
Answer:
Step-by-step explanation:
A
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
The force of gravity on the surface of jupiter is about 2.5 times as strong as that on earth. ON jupiter, the height of a ball dropped from a 100-meter tower is given by the function h(t) = -25t +100 meters at t seconds. How many seconds will it take for the ball to hit the ground?
Answer:
4 seconds
Step-by-step explanation:
Given
[tex]h(t) = -25t + 100[/tex]
Required
Determine what time it hits the ground
When the ball is on the ground, the height is at 0
i.e.
[tex]h(t) = 0[/tex]
Substitute 0 for h(t) in [tex]h(t) = -25t + 100[/tex]
[tex]0 = -25t + 100[/tex]
Collect Like Terms
[tex]25t = 100[/tex]
Solve for t
[tex]t = 100/25[/tex]
[tex]t = 4[/tex]
Hence, the ball will hit the ground in 4 seconds
---------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.
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:
42 push ups in 5 minutes
Answer: Uh, hurray?
Step-by-step explanation: I can do 100 in a minute
Answer:
um are you saying i have to do this?
Step-by-step explanation:
n o not happening i've never been good at push-ups
Which of these is an example of typing at an average rate of 42 words per minute?
Select one
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
very very sorry for the late response wish i could have seen this earlier
Step-by-step explanation:
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
I don't understand this, plz help
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
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).
How many of you guys think Into The Night by Bath & Body Works is really masculine?
Answer:
I think it smells like a grandma but a strong one but it also smells good a little
Step-by-step explanation:
4k - (2k - 7)
Helppppp
Answer:
2k+7
Step-by-step explanation:
4k - 1 ( 2k - 7 )
4k-2k +7
The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars.
Company A: y=0.75x
Company B: y=10+0.50x
How many bars would the team need to purchase from each company in order for the total cost to be equal?
6
8
30
40
Answer:
30
Step-by-step explanation:
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]x2 is to 441 as x3 is to ___.
Solve for c in x^2 = 441
Taking the square root of both sides x = 21
Now x^3 = 21^3 = 9,261
The answer is 9,261
The solution is x² is to 441 as x³ is to 9261
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
x² = 441
Taking square roots on both sides , we get
x = 21
Therefore , x³ = 21 × 21 × 21
x³ = 9261
Hence , x² is to 441 as x³ is to 9261
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Please help! I'll give brainliest!
Who refused to help the colonists of Roanoke Island?
The Queen
Other colonists
British government
Croatoan Indians
Answer:
British Government
Step-by-step explanation:
Answer:The Croatan
Step-by-step explanation: I am literally on the module two exam and it’s obvious Plus I read about this
1. If energy is the ability to cause change, then
what evidence is there that energy is produced in
the interaction between the wind and the blades of
the wind turbine?
Answer:
We get electricity, that's all the evidence
Step-by-step explanation:
Have a GOOD DAY
We will use the idea that "energy is the ability to cause change" to study the interaction between wind and the blades of a turbine.
This is actually really trivial, if we look at the blades and they are stopped, then we can conclude that there is no wind, thus there is no energy. (By the Newton's laws, we know that there must be a force to change the movement of something).
Now if wind comes, the wind will cause a force on the blades making them rotate.
So a form of energy comes, mechanical energy, and we can see how it produces changes.
Then by the rotation of the blades, there are dynamos that can be used to charge and store energy, this is (roughly) how a wind turbine works.
If you want to learn more, you can read:
https://brainly.com/question/23554962
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