Answer: Inequality
Step-by-step explanation:
From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An
inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.
For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.
The function g has an inverse. The function g − 1 determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g − 1 .
Answer:
[tex]\mathbf{g^{-1} (t) = log _2 \ 20 \ t}[/tex]
Step-by-step explanation:
Here is the full question
A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times. We'll assume we can make "perfect folds," where each fold makes the folded paper exactly twice as thick as before - and we can make as many folds as we want.
Write a function g that determines the thickness of the folded paper (in mm) in terms of the number folds made, n. (Notice that g(0) 0.05,)
[tex]g(n )= (05)2^n[/tex]
The function g has an inverse. The function g⁻¹ determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g⁻¹).
SOLUTION:
If we represent g(n) with t;
Then
[tex]\mathbf{t = (0.05)2^n} \\ \\ \mathbf{\dfrac{t}{0.05} = 2^n} \\ \\ \mathbf{\dfrac {100 \ t }{ 5} = 2^n} \\ \\ \mathbf{20 t = 2^n}[/tex]
Taking logarithm of both sides; we have :
[tex]\mathbf{log (20 t) = n log 2} \ \ \ \mathbf{(since \ , log \ a^b = b \ log \ a) } \\ \\ \mathbf{n = \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = log _2 \ 20 \ t}[/tex]
solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square
Answer:
1/3(4√2/2- 5)
-1/3(4√2/2 + 5)
Step-by-step explanation:
2(3x+5)² -16=0
2(3x+5)²=16
(3x+5)² = 4²/2
3x+5= 4/√2 ⇒ 3x= 4/√2- 5 ⇒ x= 1/3(4√2/2- 5)
3x+5= -4√2 ⇒ x= -1/3(4√2/2 + 5)
PLEASE HELP!!Write an algebraic expression to represent the following verbal expression.
eight more than the product of a number and 100
Select one:
O a. 100x + 8
O b. 100x - 8
O c. 100 + 8x
O d. 8 - 100x
Answer:
work is pictured and shown
An expression to represent the given verbal expression is,
⇒ 100x + 8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The verbal expression is,
''Eight more than the product of a number and 100.''
Let an number = x
So, We can formulate;
⇒ Eight more than the product of a number and 100.
⇒ 8 + x × 100
⇒ 8 + 100x
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
I really need to get this rain I will give you Brainlyest or whatever that thing is called if you get this right
Answer: A. SSS
Step-by-step explanation:
The two triangles are congruent through SSS which means Side-Side-Side. This is because each side of the triangle correlates between the two of them. They both have a 8, 6, and 3 side.
Answer:
SSS
Step-by-step explanation:
The given triangles have 3 equal sides: 3, 6 and 8
So the answer is SSS (side-side-side)
Brian & Paul share a lottery win of £7800 in the ratio 1 : 4. Brian then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3. How much more does his wife get over their son?
Answer:
The wife gets £468 over the son
Step-by-step explanation:
Firstly, we shall calculate the total amount Brian made from from what he and Paul won.
The ratio is 1:4, meaning for every 2 part Brain takes, Paul takes 4
Paul’s share is thus 1/5 * 7800 = 7800/5 = £1560
Now we have another ratio for sharing the amount Brain has at home.
The total ratio here is 1+6+3 = 10
The share of the wife will be 6/10 * 1560 = 6 * 156 = 936
The son share is half of this which is 936/2 = 468
The difference between their shares is £936-£468 = £468
Can someone please help
Answer:
Step-by-step explanation:
8x^2 - 2x^2 - 3x + 8x + 1/3 - 3/5
6x^2 + 5x + 5/15 - 9/15
6x^2 + 5x - 4/15
the solution is the third one C
A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from
Answer:
a)40.5m
b)139.5m
Step-by-step explanation:
Considering downward as 'positive' y-direction
[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]
First is to resolve initial velocity into x and y component:
[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]
a) in order to find horizontal position of the ball:
[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]
[tex]x_f= 8.1\times5=40.5m[/tex]
b) To find the height that the ball was thrown from(vertical position):
[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]
What is the range of the function 2x + y = 7
if the domain is {-4, -2,0, 5, 7)?
Answer| range: {15, 11, 7, -3, -7}
Step-by-step explanation:
Plug in the domain to find the range:
x = 4
2(-4) + y = 7
-8 + y = 7
y = 15
x = -2
2(-2) + y = 7
-4 + y = 7
y = 11
x = 0
2(0) + y = 7
0 + y = 7
y = 7
x = 5
2(5) + y = 7
10 + y = 7
y = -3
x = 7
2(7) + y = 7
14 + y = 7
y = -7
Find the y-intercept of the following equation. Simplify your answer.
y = –3x − 1
y-intercept =
Answer:
[tex]y = - 1[/tex]
Step-by-step explanation:
on the y- intercept the value of x is zero
You are graphing square ABCD in the coordinate plane. The following three of the vertices of the square: A(4,-7), B(8,-7), and C(8,-3.
What is the slope of the line that passes through the points (6,-10) and
(3, -13)? Write your answer in simplest form.
Answer:
1
Step-by-step explanation:
The slope intercept form for this problem is y = x - 16
Please help! select the correct answer
Answer:
the answer is show me your kitty cat
Step-by-step explanation:
In how many ways can you
select a group of 6 friends to
invite over from a group of
22 friends?
Answer:74613
Step-by-step explanation:
n!/r!(n-r)!
22!/6!(22-6)!
=74613
Wanda jumped rope 25 times every minute. What is the algebraic equation to express the function of the total number of times Wanda jumped rope? A. m = 25j B. m + j=25 C. 25 = j - m D. j = 25m
Answer:
I think it's A) bro,
Step-by-step explanation:
on the test write now soooo...
A red light
flashes on
every
8 secs and a
green light flashes on
flashes on every 10 secs. If the two
lights are switched on
at the same time.
After how long will both lights flash on
together?
Answer:
Both lights would flash together after every 30 seconds.
Step-by-step explanation:
6 = 2 * 3 and 10 = 2 * 5.
LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.
Therefore, both lights wold flash together after every 30 seconds.
Answer:
every 30 seconds.
Step-by-step explanation:
I'm a banana
I'm a banana
I'm a banana
Look at me move, yeah yeah
I'm a banana
I'm a banana
I'm a banana
Look at me move, ah
Banana power
Banana power
Banana power
Power
Banana power
Banana power
Banana power
Look at me move
Uh oh banana time
Uh oh banana time
Uh oh banana time
Stop
Stop
Stop
Carts, farts, marts, darts
Hearts, starts, carts, marts
Carts, marts, darts, farts
Darts, starts, hearts, ah
Chicken, chicken, chicken
I am
Chicken, chicken
Chicken
Stop
Look at me
Look at me move
I'm a banana
I'm a banana
I'm a banana
yes
What is 4+4 will mark as brainliest
Answer:
8
Step-by-step explanation:
if you have 4 books and I add you another 4 books you will have 8 books altogether.
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
8, 17, 26, ...
Find the 32nd term.
Answer: 287
Step-by-step explanation:
8, 17, 26
So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.
That means we need 29 more terms to get to the 32nd term.
29 * 9 = 261
261 + 26 = 287
287 is 29 terms past 26, which is the 3rd term.
Simplify the following exponential expression.
14405c4
- 166c-14
In December, Sara's Sodas produced 4.0 million liters of the beverage. Manufacturing overhead was $1,435,000 and the cost per liter was $0.47. Labor costs were 25 percent of materials cost. Required: a. Calculate the materials cost for December.
Answer:
The material cost for December = $356,000
Step-by-step explanation:
The manufacturing overhead is the sum of the indirect costs that come from the manufacturing process except labor and materials
Hence, whereby the cost per liter = $0.47, we have;
Total volume produced = 4.0 million liters
Manufacturing overhead = $1,435,000
Total cost = Cost per liter × Total volume produced
∴ Total cost = 4 × 10⁶ × $0.47 = $1,880,000
Hence the cost of labor + materials = Total cost - Manufacturing overhead
the cost of labor + materials = $1,880,000 - $1,435,000 = $445,000
Labor cost = 25% material cost = 0.25 × material cost
∴ 0.25 × material cost + material cost = $445,000
1.25 × material cost = $445,000
material cost = $445,000/1.25 = $356,000
Which gives labor cost = 0.25 × $356,000 = $89,000
The material cost for December = $356,000.
Please help! Correct answer only!
A raffle has 1,000 tickets. One ticket will win a $830 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " ⇒ $ 0.830
Step-by-step explanation:
Consider the probability of entering 1 ticket out of the 1000 entered;
[tex]Total Tickets Entered - 1000 Tickets,\\Prize Won - 830 Dollars,\\Number of Tickets One Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 1000,\\Proportionality - 1 / 1000 = x / 830, If x = " Expected Payoff ",\\\\1 / 1000 = x / 830 - Cross Multiplication ,\\1000 * x = 830,\\x = 830 / 1000 = 0.830\\\\Conclusion ; x = 0.83[/tex]
Solution ; " Expected Payoff " ⇒ $ 0.830 ( might or might not include 0 at end )
Factor completely 3x2 − x − 4.
Answer:
(3x-4)(x + 1)
Step-by-step explanation:
first, split the middle term,
3x^2-x-4
= 3x^2 + 3x - 4x - 4
= 3x( x+ 1) - 4( x + 1)
= (3x-4)(x + 1)
plz mark as brainliest
Answer:
(3x − 4)(x + 1)
Step-by-step explanation
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
D
Step-by-step explanation:
A is not true because from the graph, they make less money at $13 compared to $10 even though 13 > 10. B isn't true either because when the app price is more than $7 the profit decreases, not increases. D is true because the y-coordinate of the vertex (which is the maximum in this case) is about 40 million, and if we know the maximum already we know that C is false because 40 ≠ 7.
Manish and Jhanavi each receive an equal bonus. Manish has 1/2 fraction of allowance as saving accounts , 1/4 of the fraction he spend at the mall. Jhanavi has 1/3 fraction of allowance as saving accounts , 3/5 of the fraction she spend at the mall. If the allowance of each is Rs. 2520,find the amount left with Manish and Jhanavi?
Answer:
Step-by-step explanation:
Manish:
[tex]Savings=\frac{1}{2}*2520\\\\= Rs.1260\\\\Amount spend at mall=\frac{1}{4}*2520\\\\=Rs.630[/tex]
Amount left with Manish = 2520 - (1260 + 630) = 2520 - 1890 = Rs. 630
Jhanavi:
Savings = (1/3) *2520 = Rs. 840
Amount spend at mall = (3/5) * 2520
= 3 * 504
= Rs. 1512
Amount left with Jhanavi = 2520 - (840 +1512) = 2520 - 2352
= Rs. 168
Which graph represents a function??
Answer:
To be a function a graph must pass the vertical line test and the only one that does this is the bottom right one.
Answer:
Bottom Right
Step-by-step explanation:
A function has only one y value for every x value. The upper left graph has many y values for the x value of 1, the bottom left graph has two y values for each x value and so does the upper right graph. the Bottom right graph is the only option with one y value for every x value.
What is the sum of the first five terms of a geometric series with a = 10 andr
= 1/5?
Answer:
12.496
Step-by-step explanation:
Here, to calculate the sum of the first five terms of the series, we use the formula for the sum of terms in a geometric series.
Mathematically, that would be;
Sn = a(1-r^n)/1-r
where Sn = ?
a = 10
r = 1/5 = 0.2
n = 5
Substituting these values into the equation above, we have;
Sn = 10(1-(0.2)^5)/1-0.2
Sn = 10(0.99968)/0.8
Sn = 12.496
write 3.25 x 10^4 as a ordinary number
Answer:
32500
Step-by-step explanation:
[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]
Answer:
32500
Step-by-step explanation:
3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500
Is ½% greater than or less that one hundredth?
Answer:
1/2 Is Greater
Step-by-step explanation:
If you have HALF of 100 you have have 50. If you have 1/100 of 100 you have 1. Therefore, 50>1, so 1/2 is greater.
Please help! Correct answer only please! I need to finish this assignment by today.
On her recent free-throw attempts, Norma made 24 shots and missed 58 shots. What is the experimental probability that Norma will miss her next free-throw attempt?
Simplify your answer and write it as a fraction or whole number.
P(miss) =
Answer:
58 / (24 + 58) = 29/41
Step-by-step explanation:
Nishchal was listening to a song. Shown above are the views of his player showing 'Time elapsed' and 'Time remaining' for the song in minutes and seconds. What is the total duration of the song?
Answer: T = time remaining + time elapsed.
Step-by-step explanation:
Time elapsed means the time that he has been listening to the song (the minutes passed since he hits the play button)
Time remaining is the time left to finish the song.
Then the total duration of the song will be:
T = time remaining + time elapsed.
"Time Elapsed" simply refers to the time which has been spent listening to the music track. The "time remaining" on the other hand is the time left on for the song to come to an end. Song duration is the addition of both.
How to calculate the total duration of the songPlease note that the information from the question required to give a well-rounded answer is incomplete. Hence the general answer.
To calculate the time duration of the song (which is the total length of the song in terms of time) the Time Elapsed must be added to the Time Remaining.
That is:
Total Duration = Time Elapsed + Time Remaining.
See the link below for more about Song Duration:
https://brainly.com/question/14701526
What is the solution to the equation - 4 = 6?
A. x = 5
B. x = 1
C. x = 20
D. x = 10
Tysvm if you answer!