The solution to the exponential expression is given as follows:
x = 34.29.
How to solve the exponential expression?
The exponential expression for this problem is defined as follows:
[tex]10^{\frac{x}{6}} \times 10^{\frac{x}{8}} = 10^{10}[/tex]
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.
The sum of the exponents is given as follows:
x/6 + x/8 = 4x/24 + 3x/24 = 7x/24.
Hence the equivalent expression is given as follows:
[tex]10^{\frac{7x}{24}} = 10^{10}[/tex]
The function 10^x is an injective function, hence the value of x is obtained as follows:
7x/24 = 10
7x = 240
x = 240/7
x = 34.29.
More can be learned about exponential expressions at https://brainly.com/question/25537936
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Help!!!!! Giving out 15 points and a Brainliest to the person who answers correctly
Answer:
m∠TUW = 90, m∠VUR = 130, m∠VUW = 50
Step-by-step explanation:
Supplementary angles add up to 180!
loooooook below answer number 1234 am giving brainliest
Answer: for number 1 - answer is 84.7
number 2 - answer is 24
number 3- answer is 47.5
number 4 - answer is 6.5
Step-by-step explanation:
1: 84.7
2: 24
3: 47.5
4: 6.5
The Park family was traveling to Disney World on vacation. They drove 487.5 miles in 7.5 hours. At this rate, how many miles did the Park family drive per
hour?
They drove 65 miles per hour
Find the cincumference?
A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 412cm. The prism is filled with cubes that have edge lengths of 12 cm. How many cubes are needed to fill the rectangular prism? Enter your answer in the box. To fill the rectangular prism, how many cubes are needed to fill the rectangular prism?
Answer:
618
Step-by-step explanation:
1st step: 6 x 3 x 412
2nd step: 7416 / 12
Final Answer: 618
Hope this helped!
Answer:
It's 648!
Step-by-step explanation:
Your welcome! I took the test! The other persons wrong sry! Have a great week! Happy almost easter! Spring is here! Have a great spring break!
What is the answer !?
Help please
can you please help me??
15 minutes
1 hour divided by 4 is 15
hope that helped
4.
The table shows values for a linear function
X=-2,-1,2,3
f(x)=-3,-1,5,7
Which choice is equivalent to the expression below? √27 - √12 + √48
A. 29√3
B. 9√3
c. 21√3
D. 5√3
Answer:
D
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying each radical
[tex]\sqrt{27}[/tex]
= [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
[tex]\sqrt{12}[/tex]
= [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]
[tex]\sqrt{48}[/tex]
= [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
Then
3[tex]\sqrt{3}[/tex] - 2[tex]\sqrt{3}[/tex] + 4[tex]\sqrt{3}[/tex]
= 5[tex]\sqrt{3}[/tex] → D
According to the graph, what is the solution (ordered pair) of this system of equations?
Answers:
(2, -3) and (3, -3)
==================================================
Work Shown:
Since f(x) = -3, we'll replace f(x) with -3 and solve for x
f(x) = x^2 - 5x + 3
-3 = x^2 - 5x + 3 .... f(x) replaced with -3
0 = x^2 - 5x + 3 + 3 ... adding 3 to both sides
0 = x^2 - 5x + 6
x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0 .... factor; you can also apply the quadratic formula
x-3=0 or x-2=0
x = 3 or x = 2
So that explains where that '2' comes from when they listed (2, ?)
-------------
To find what replaces the question mark, we will plug x = 2 into the function
f(x) = x^2 - 5x + 3
f(2) = 2^2 - 5(2) + 3
f(2) = 4 - 10 + 3
f(2) = -3
We could have skipped this portion and said that the solution is (2,-3) but plugging x = 2 into the function to get the output y = -3 helps confirm that x = 2 is one of the x solutions.
-------------
Let's do the same for x = 3
f(x) = x^2 - 5x + 3
f(3) = 3^2 - 5(3) + 3
f(3) = 9 - 15 + 3
f(3) = -3
We end up with the same output, so x = 3 is confirmed as well.
The graph below visually helps reinforce these confirmations. Each solution is an intersection between the two curves.
Answer:
cool
Step-by-step explanation:
I'm not sure I'm just getting points
As
MZLON = 113
mZMON = 2x +33°
M
mZLOM = 3x+ 20°
Find mZMON:
Pro
Answer:
Step-by-step explanation:
113= (2x+33)+(3x+20)
113=5x+53
60=5x
X=12
NOT DONE YET
substitute x value into MON equation to find angle measure
you get 57 degrees
Below are four cube roots. The cube root of a number is the factor we multiply by itself three times to get that number. For each cube root below, state between which two numbers does the cube root lie.
∛5
∛23
∛81
∛99
Your answer:
There are 7 ted marbles. 7 blue marbles, and 7 green marbles.If a person randomly selects 1 marble from the bag, what is the probability that the person selects a blue marble.
Answer:
there are an equal amount of all three colors of marbles in the bag, so the probability of selecting a blue marble is just 1/3.
Let me know if this helps!
If an object has a mass of 450 kg and is moving at 15 m/s, What is that object's momentum?
[tex]p=mv=450\mathrm{kg}\cdot15\mathrm{\frac{m}{s}}=6750\mathrm{\frac{kgm}{s}}[/tex].
Hope this helps.
PLEASE HELP
Write an equation to represent the following description. Use pencil and paper. Describe a real-world situation the equation could represent.
Eight more than four times a number is 28.
Choose the correct answer below.
A. 4x - 8 = 28
B. 8x + 4 = 28
C. 4x + 8 = 28
D. 8x - 4 = 28
E. 4(x+8) = 28
Answer:
Step-by-step explanation:
Eight more means add 8
Four times an unknown number is 4x
‘Is’ 28 means equal to 28
4x+8=28
Members of a baseball team raised $1141.75 to go to a tournament. They rented a bus
for $880.50 and budgeted $23.75 per player for meals. Determine the number of
players the team can bring to the tournament.
Answer:11 players
Step-by-step explanation:
Find the common ratio r for the geometric sequence and use r to find the next three terms. Enter your answer to four decimal places if necessary. 100, -40, 16, -6.4, The Common Ratio The next three terms are
Answer: The next three terms =2.56, - 1.024 and 0.4096
Step-by-step explanation:
Common Ratio of a Geometric sequence, R is calculated as
=a2/a1 = -40/100=-0.4
or a3/a2=16/ -40 = -0.4
such that the next three terms are
5th term = -6.4 x -0.4=2.56
6th term= 2.56 x -0.4 =-1.024
7TH term= -1.024 x -0.4=0.4096
can you help me please
Answer:
151.4496 cm^2 is the area
Edward deposited $8500 into a savings account 4 years ago. The simple interest rate is 5%. How much money did he earn in interest?
Step-by-step explanation:
bun the end of the yeah job. intend him dnd neer
t he held orlick knife David kamp jacory danforth Jackie renfrow quill lss Michael Kaepernick post Darvish Davydenko Comstock decision Nintendo Kuznetsov victory
dawn had 1/5 gallon of juice to divide evenly between 2 friends.How much juice should each friend receive?
Answer:
7.5 if 1/5 is 15. if not, its 0.6
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
you have to break the fraction into 1/3 so the 2 friends can evenly get that
if its wrong look at someone else
Does anyone know what the answer is?
If your phone cord is wrapped up in a rectangle that is 2x1 feet, how far can it reach?
Answer:
6 feet
Step-by-step explanation:
You are basically finding the perimeter of this rectangle.
2+2+1+1 = 6
[tex](m{}^{2})(m {}^{?}) = m {}^{5} [/tex]
What is the answer for - ?
Answer:
5/2
Step-by-step explanation:
[tex](m^{2})(m^{?}) = m^{5}\\ m^{2*?} = m^{5}\\m^{2*5/2} = m^{5}\\(m^{2})(m^{5/2}) = m^{5}[/tex]
PLZ HELP ME
Which expression is a factor of 16x^2-81
I will mark brainliest
A: 8x-9
B: 4x-9
C:8x-81
D: 4x-81
Answer:
B- 4x-9
Step-by-step explanation:
that's the answer
Help plz and thank have a nice day
This is for the first page
Answer: answer to question 17 is r=32/7, answer to question 18 is m=-12, answer to question 19 is k=-9, answer to question 20 is p= No solution, answer to question 21 is x= infinite solutions, answer to question 22 is x= -4.
Step-by-step explanation:
This picture is for the second page
A narrow rectangular banner is 3 inches wide. It is 4 times as long as it is wide.
Find the perimeter of the banner.
I need this asap ty:p
Which of the following equations are equations of a direct variation? Choose all that apply.
(a) x=−2y
(b) x+2y=12
(c) 3x−2y=0
(d) 5x^2+y=0
(e) y =0.3x +1.6
(f) y−2=x
Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
y = x/-2 → y = -1/2x This is equivalent to multiplying x by -1/2, so this is an example of direct variation.(b) x + 2y = 12
2y = 12 - x y = 6 - 1/2x This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is NOT an example of direct variation.(c) 3x - 2y = 0
-2y = -3x y = 3/2x This follows the format of y = kx, so it is an example of direct variation.(d) 5x² + y = 0
y = -5x²This is not in the form of y = kx, so it is NOT an example of direct variation.(e) y = 0.3x + 1.6
1.6 is being added to 0.3x, so it is NOT an example of direct variation.(f) y - 2 = x
y = x + 2 2 is being added to x, so it is NOT an example of direct variation.The following equations are examples of direct variation:
x = -2y 3x - 2y = 0Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
y = x/-2 → y = -1/2x
This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
2y = 12 - x
y = 6 - 1/2x
This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is NOT an example of direct variation.
(c) 3x - 2y = 0
-2y = -3x
y = 3/2x
This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
y = -5x²
This is not in the form of y = kx, so it is NOT an example of direct variation.
(e) y = 0.3x + 1.6
1.6 is being added to 0.3x, so it is NOT an example of direct variation.
(f) y - 2 = x
y = x + 2
2 is being added to x, so it is NOT an example of direct variation.
The following equations are examples of direct variation:
x = -2y
3x - 2y = 0
what is 8=3a-4? please answer if you know it because the homework is for tomorrow.
Answer: a = 4
Step-by-step explanation: Hope this helps ^^
Answer:
a=4
Step-by-step explanation:
8=3a-4
+4 +4
12=3a
12/3
a=4
A bottle of shampoo costs $4 at a store. It is on sale for 25% off, and the sales tax in 5.5%. What is the sales price of the shampoo?
please ACTUALLY HELP>DONT JUST SPAM >IM BEGGING U>I WORKED HARD FOR THESE POINTS>
Answer:
1.22 dollars after sales tax
Answer:
4
Step-by-step explanation:
that is the answer
The Lunar New Year is always celebrated in February true or false
Answer:
true
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
It is usually in January OR February.
So it's not always celebrated in February