Answer:
-44f - 12
Step-by-step explanation:
Here's the method :
-10f - 6 (-9f + 2 )
-10f + 54f - 12
-44f - 12
Answer:
[tex]44f - 12[/tex]
Step-by-step explanation:
[tex] - 10f - 6( - 9f + 2)[/tex]
[tex] - 6( - 9 + 2)[/tex]
[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]
[tex]6 \times 9f - 6 \times 2[/tex]
[tex]54f - 6 \times 2[/tex]
[tex]54f - 12[/tex]
[tex] - 10f + 54f[/tex]
[tex]( - 10 + 54)f[/tex]
[tex] = 44f - 12[/tex]
Find the 14th term of the geometric sequence 2, 4, 8, ...2,4,8,...
Answer:
14th term is 16,384
Step-by-step explanation:
I. When [tex]a_{n} = a_{1}(r^{n-1} )[/tex]
If n = 14, a = 2 and r = 2
[tex]a_{14} = 2(2^{14-1} )[/tex]
= 2([tex]2^{13}[/tex])
[tex]a_{14}[/tex] = 16,384
8x-2y+5z=-5
5x+2y-3z=7
Answer:
167
812
Step-by-step explanation:
I think it's correct and helping you get a great day:)
If f(x) = x (ln x), find f'(x).
A. e^(x + 1)
B. 1 + ln x
C. 1 + e^x
D. (ln x)^2 + x
Answer:
[tex]f'(x)=1+\ln x[/tex]
Step-by-step explanation:
[tex]f'(x)[/tex] is notation for the first derivative of [tex]f(x)[/tex].
Recall the product rule:
[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]
Therefore, we have:
[tex]\displaystyle \frac{d}{dx}(x\ln x)=\frac{d}{dx}(x)\cdot \ln(x)+\frac{d}{dx}(\ln x)\cdot x[/tex]
Note that:
[tex]\displaystyle \frac{d}{dx}(x)=1,\\\\\frac{d}{dx}(\ln x)=\frac{1}{x}[/tex]
Simplify:
[tex]\displaystyle \frac{d}{dx}(x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x, \\\\\frac{d}{dx}(x\ln x)= \ln x+1=\boxed{1+\ln x}[/tex]
The derivative is:
[tex] \bold{f(x) \: = \: x \: \times \: (In(x))}[/tex]
[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x \: \times \: In(x))}[/tex]
[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x) \: \times \: In(x) \: + \: x \: \times \: \frac{d}{dx} (In(x))}[/tex]
[tex] \bold{f'(x) \: = \: 1In(x) \: + \: x \: \times \frac{1}{x} }[/tex]
[tex] \bold{f'(x) \: = \: In(x) \: + \: x \: \times \: \frac{1}{x} }[/tex]
[tex] \boxed{ \bold{f'(x) \: = \: In(x) \: + \: 1}}[/tex]
MissSpanishName two integers with different signs that have a sum of -28
Answer:
-35 and 7
Step-by-step explanation:
7 - 35 = -28
35 has a (-) sign, and 7 has a (+) sign
Addition can be defined as the process of adding two numbers. The two integers with different signs that have a sum of -28 are -29 and 1.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
An integer is a number that can be written without using a fractional component.
Given that the two integers with different signs have a sum of -28. Therefore, we can write,
-29 + 1 = -28-30 + 2 = -28-31 + 3 = -28-32 + 4 = -28-33 + 5 = -28-34 + 6 = -28-35 + 7 = -28Hence, the two integers with different signs that have a sum of -28 are -29 and 1.
Learn more about Addition here:
https://brainly.com/question/13167637
#SPJ2
write the statement factor theorem
Answer:
According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0. ... Also, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0. This proves the converse of the theorem.
Which of the following is an example of dramatic irony in this scene?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Bottom tries to take over the play, but can’t get his cue right as Pyramus.
(Choice B)
B
Puck plays a trick on Bottom but ends up scaring the other actors.
(Choice C)
C
The other actors think Bottom is smarter than he actually is.
(Choice D)
D
Bottom doesn’t realize that Puck has given him an as’s head.
How does this dramatic irony impact the reader?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
It helps increase the reader’s sympathy for the other actors.
(Choice B)
B
It shows that Puck is a fan of theatrical performances.
(Choice C)
C
It explains the moral of the story, which is that bragging is wrong.
(Choice D)
D
It adds humor to Bottom’s next lines, after the others run away.
what is the shaded region known as
The shaded region of a circle formed by one line as shown in the image is called a segment.
Answer: segment
I neeed helppp please due today
Step-by-step explanation:
y=x+6.......(1)
y=-3X-6....(2)
from eq (1), we get,
x=y-6....(3)
sub eq (3) in eq (2), we get
y= -3(y-6)-6
y= -3y+18-6
y+3y-12=0
4y=12
y=3
sub value of y in eq (3)
x=3-6
x=-3
Answer: (3, 3)
Step-by-step explanation:
There are three general ways of solving a system of equations:
EliminationSubstitutionGraphingWhen solving systems of equations with graphing, look for points that overlap with each other or cross, and that will be the solution for the system. There might be one, two, or more than two solutions.
Please refer to the attachment below for the graph of the two equations.
Red line: y = x + 6Blue line: y = -3x - 6Hope this helps!! :)
Please let me know if you have any questions
help asap please, forgot how to do math :)
Answer:
x = 8
Step-by-step explanation:
A common pythagorean triplet is 7, 8, 9
Answer:
11.4
Step-by-step explanation:
Pythagorean theorem
[tex]7^{2}[/tex] + [tex]9^{2}[/tex] = [tex]x^{2}[/tex]
49 + 81 = [tex]x^{2}[/tex]
130 = [tex]x^{2}[/tex]
11.4 = x
if angle c=60° , b=5 ,a=4 then find the value of the c ?
Answer:
c=sqrt21
Step-by-step explanation:
angle c is the angle between a and b, so use the cos law
c^2=a^2+b^2-2*a*b*cosC
c^2= 16+25-2*4*5*1/2
c^2=21
c=sqrt21
help asap show work and no links pls
Answer:
f(1) = 2 f(3) = 8 f(t) = 2^t
Step-by-step explanation:
you just plug in the number in the parenthesis next to f to x in the equation 2^x
Which data set does the line plot represent? *
(IMAGE BELOW)
A) 0, 2, 2, 3, 3, 4, 6, 9, 9, 9, 10, 10
B) 0, 2, 3, 3, 3, 3, 4, 9, 9, 10, 10 , 10
C) 0, 2, 3, 3, 3, 4, 6, 9, 9, 10, 10, 10
D) 0, 2, 3, 3, 4, 4, 5, 6, 9, 9, 10, 10
please help me with this quickly
Explanation:
We follow PEMDAS in reverse to undo every operation that is applied to variable x
Doing so will lead to the following
t = 0.4x + c
t - c = 0.4x
0.4x = t - c
x = (t - c)/(0.4)
The last equation is the same as writing [tex]x = \frac{t-c}{0.4}[/tex] which is what choice B shows.
4 workers can dig 4 holes in 4 hours, how long will it take to dig 6 holes with 2 workers
Answer:
12 hours
Step-by-step explanation:
each worker digs a hole and takes 4 hours doing so
2 workers dig 3 holes each, 3*4=12, 12 hours
Answer:
12 hours
Step-by-step explanation:
4 workers can dig 4 holes in hours=4
1 worker ,, ,, 4 ,, ,, ,, =4×4=16
1 ,, ,, ,, 1 hole ,, ,, =16÷4=4
2 ,, ,, ,, 1 ,, ,, ,, =4÷2=2
2 ,, ,, ,, 6 holes ,, ,, =2×6=12
list the following integers in descending order: -14, 0, -8, 3, -5, -3, 7
How did you determine the greatest value; and, how did you determine the least value?
Answer:
7, 3, 0, -3, -5, -8, -14
Step-by-step explanation:
I know 7 is the greatest value you add the most because to get to 7 from 0.
I know -14 is the least value because I subtracted the most to get to -14 from 0.
Lisa uses 2 pieces of copper wire, each 9 feet long, for
each robot she builds. If she started with a 500-yard roll
of copper wire, which of the following represents the
number of yards of wire left on the roll after Lisa built r
robots? (3 feet = 1 yard)
Answer:
500 - 6r = t
Step-by-step explanation:
500 represents the amount of copper wire Lisa started with.
-6r represents how much copper wire (in yards) is used on the robot (9*2 / 3 = 6).
t represents the total wire left after Lisa builds r robots.
Jk=7x+9
Jl 114, and
Kl =9x+9
Answer:
KL=63
Step-by-step explanation:
Answer:
Step-by-step explanation:
Kl=63
a.a + b.b = 612
And
a+b = 30
so a.b?
Pls help.
Answer:
ab = 144
Step-by-step explanation:
Assuming you mean a² + b² = 612, then
(a + b)² = a² + 2ab + b² , that is
30² = a² + 2ab + b² , so
a² + 2ab + b² = 900
a² + b² + 2ab = 900 ← substitute a² + b² = 612
612 + 2ab = 900 ( subtract 612 from both sides )
2ab = 288 ( divide both sides by 2 )
ab = 144
Identify next three numbers in this sequence: 3, 12, 6, 24, 18, …
options :
27, 13.5, 22.5
72, 36, 144
72, 66, 264
27, 21, 30
Given that
a
= 3 cm and
b
= 21 cm, work out
θ
rounded to 1 DP.
Answer:
I am sorry I not no
this question
Step-by-step explanation:
sorry dear friend
A movie with an aspect ratio of 2.35:1 is shown as a letterboxed image on an older 25-inch 4:3 television. Find the height of the image, the height of each black bar at the top and bottom of the screen, and the percent of the screen’s area that is occupied by the image. Use a variety of representations to justify your response. Based on your analysis of television aspect ratios, why do you think the consumer market has moved having wide screen TV in the home?
The aspect ratio represents the ratio of the width to the height of a television.
The height of the image on the 25-inch television is 15 inches The height of each black bar is 8.51 inches The percentage of the screen area occupied is 56.73%Consumers moved to screens with wide screen to get clearer images.The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the older 25-inch [tex]4:3[/tex] TV is x.
The ratio is represented as:
[tex]Width : Height = 4:3[/tex]
Using Pythagoras theorem, we have:
[tex]Width^2 + Height^2 = 25^2[/tex]
[tex](4x)^2 + (3x)^2 = 25^2[/tex]
[tex]16x^2 + 9x^2 = 625[/tex]
[tex]25x^2 = 625[/tex]
Divide both sides by 25
[tex]x^2 = 25[/tex]
Take positive square roots
[tex]x = 5[/tex]
So, the height of the image is:
[tex]Height = 3x[/tex]
[tex]Height = 3 \times 5 = 15[/tex]
While the width is
[tex]Width = 4x = 4 \times 5 = 20[/tex]
Hence, the height of the image is 15 inches
The height of each black bar is calculated as follows:
[tex]Width : Height = 2.35 : 1[/tex]
Where
[tex]Width = 20[/tex]
So, we have:
[tex]20 : Height = 2.35 : 1[/tex]
Express as fraction
[tex]\frac{Height}{20} = \frac{1}{2.35}[/tex]
Make Height the subject
[tex]Height = \frac{20}{2.35}[/tex]
[tex]Height = 8.51[/tex]
The height of each black bar at the top and at the bottom is 8.51 inches
The percentage of the screen’s area that is occupied by the image is calculated using
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex]
Where
[tex]A_1 \to[/tex] Area of black bars
[tex]A_2 \to[/tex] Area of the 25-inch 4:3 television
So, we have:
[tex]A_1 =8.51 \times 20 = 170.2[/tex]
[tex]A_2 =15 \times 20 = 300[/tex]
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex] becomes
[tex]\% Screen = \frac{170.2}{300} \times 100\%[/tex]
[tex]\% Screen = \frac{170.2}{3} \%[/tex]
[tex]\% Screen = 56.73 \%[/tex]
Hence, the percentage of the screen area occupied is 56.73%
Consumers moved to TV with a wide screen because a TV with wide screen shows bigger pictures than smaller dimension TV screens,
When the pictures are bigger, the consumers will have a clearer view of what they're watching.
Read more about aspect ratios at:
brainly.com/question/17231027
1. y is inversely proportional to x. Given that x = 5 when y = 3.
a) show y=15/x
b) find y when x=45.
Answer:
a)
Step-by-step explanation:
Y=k/x........(1)
Put y and x in (1) to get:
3=k/5
K=15
Now put k=15 in (1):
Y=15/x
b)
Y=k/x as x=45
Y=15/45
Y=1/3
What is the square root of 1 to the second power
Answer:
1
Step-by-step explanation:
The second power and square root cancel each other (second power means squared by the way)
Write 8/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
0.72 repeat
Step-by-step explanation:
__
8 ÷ 11 =0.72
Jack paid 13.75 euros to buy 3 slices of pizza and 4 hot dogs. Sarah paid 9.75 euros to buy 2 slices of pizza and 3 hot dogs. What was the price of a slice of pizza?
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.
Simplify this expression:
4(1 – 3x) + 7x – 8
Step-by-step explanation:
4(1-3x)+7x-8
4-12x+7x-8
-12x+7x+4-8
-5x-4
simplify the expression
{x1/15}to the power of 5
simplify the expression below
(x 1/15) 5
Using the law of indices we multiply the power outside the parenthesis with the power inside the parenthesis.
Therefore,
1/15 x 5 = 5/15 = 1/3
After multiplying the power, we reduce the fraction to it lowest term. By doing so we get the fraction power of 1/3.
our final expression will be like
(xA 1/15) A 5 multiply the power
(xA 5/15) reduce the fraction power to it lowest term
(1/x3)
26-4x=9x
Solve the equation
Answer:
x = 2
Step-by-step explanation:
26-4x=9x
Add 4x to each side
26-4x+4x=9x+4x
26 = 13x
Divide each side by 13
26/13 = 13x/13
2 = x
Answer:
-26/5
Step-by-step explanation:
[tex]26 - 4x = 9x \\ 4x = 9x - 26 \\ - 5x = - 26 \\ \frac{ - 5x}{5} = \frac{26}{5} [/tex]
The factorization of x² + x + xy + y + zx + z is
Answer:
[tex] {x}^{2} + x + xy + y + zx + z \\ = x(x + 1 + y + y + z) + z \\ = x(x + 2y + z + 1) + z[/tex]
wrie down the equation of the line that is parallel to 4x - 2y = 7 and passes through (9, -3)
Answer:
4x-2y =42 is the required equation
Step-by-step explanation:
given equation is,
4x-2y -7=0---------eqn1
parallel equation of given equation is
4x -2y+k =0-------eqn 2
now passing it through (9,-3), we get,
4×9 + 2×3 +k = 0
or,36+6+k =0
or,42+k =0
or, k= -42
putting the value of k in eqn2
4x-2y - 42=0
4x-2y = 42