Answer:
62,144
Step-by-step explanation:
60,000 x (1 + 2%)^2 : growth in 2 years
+ 750: in migrants
- 410: out migrants
- 620: died
Answer:
62,144
Step-by-step explanation:
[tex]60,000 \times (1 + 2\%)^{2} [/tex]
➡️ [tex] = 62,424[/tex]
In-migrants:
➡️ [tex]750 - 410 = 340[/tex]
now:
[tex]62,424 + 340 - 620[/tex]
➡️ [tex] = 62,144[/tex]
So, the present of the municipality is 62,144
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
An unknown metal having a mass of 287.8 g was added to a graduated cylinder that contained
31.47 mL of water. After the addition of the metal, the water level rose to 58.85 mL. Determine
the volume of the metal. Calculate the density of the metal using dimensional analysis.
The metal displaced a volume of
58.85 mL - 31.47 mL = 27.38 mL = 27.38 cm³
of water, which is to say the metal has this volume.
If the metal has a mass of 287.8 g, then its density is its mass per unit volume,
(287.8 g)/(27.38 cm³) ≈ 10.51 g/cm³
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
Is -1 1/6 rational? HURRY
Answer:
yes
Step-by-step explanation:
since it can be expressed as a fraction, it is rational
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.
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:)
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
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]
MissSpanishsimplify 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)
Patrick has a bag of sugar that contains 5 kg. He uses 3 kg of sugar to make a cake. How 65
much sugar does Patrick have left?
Answer:
2 kg
Step-by-step explanation:
5 - 3 = 2
Hey there!
First, read the the problem again and look for any clues. "Have left" is a phrase that would be used for subtraction. So, 5 kg - 3kg = 2 kg.
Patrick has 2 kilograms of sugar left.
Hope this helps!
Have a great day!
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
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
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]
How many million bacteria were in the dish at 9 a.mt
Answer:it depends what was on it but i would say about 500
Step-by-step explanation:
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
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.
7. Which of the following statements is not
true?
a. The square root of 112 is between 10 & 11.
b. The square root of 180 is between 13 & 14.
The square root of 12 is between 4 & 5.
d. The square root of 5 is between 2 & 3.
Answer:
c
Step-by-step explanation:
it is because in (a) the square root of 112. is 10.58 which is in between 10 and 11
(B) the square root of 180 is 13.42 which is between 13&14
(c) the square root of 12 is 3.46 which is not between 4&5
Answer:
C the square root of 12 is between 4&5.
Step-by-step explanation:
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)
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
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.
Simplify: (4x2 - 9x + 11)(x - 6)
A. 4x3 - 33x2 + 65x + 66
B. 4x3 - 33x2 + 65x - 66
C. 4x3 + 15x2 - 43x + 66
D. 4x3 - 15x2 - 43x - 66
Answer:
It's option B. 4x^3 - 33x^2 + 65x - 66
See the attached image for my work:
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.
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]
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
What is the equation of the line graphed below?
5
(2, 1)
O A. y=-2x
B. y -
C. y = 2x
o D. y = 1/2 x
Answer:
C. Y=2x
Step-by-step explanation:
I hope this help you
The expression 2-3i/4+2i
is equivalent to
Answer:
[tex] \frac{2 - 3i}{4 + 2i} = \frac{1 - 8i}{10} [/tex]
Step-by-step explanation:
To simplify an expression like this, we multiply top and ottom of the fraction (denominator and numerator) by the complex conjugate of the bottom (numerator). For a complex expression (a+bi), the complex conjugate is (a−bi). When we do the calculation, it will become clear why this works so well.
Note that (a−bi)/(a−bi) is just the same as 1, so when we do this multiplication the result is the same number we started with.
[tex] \frac{2 - 3i}{4 + 2i} = \frac{2 - 3i}{4 + 2i} \times \frac{4 - 2i}{4 - 2i } \\ = \frac{8 - 12i - 4i + 6 {i}^{2} }{16 + 8i - 8i - 4 {i}^{2} } \\ = \frac{8 - 16i + 6 {i}^{2} }{16 - 4 {i}^{2} } [/tex]
But
[tex] i = \sqrt{ - 1} \: so \: {i}^{2} = - 1 [/tex]
Using this and collecting like terms, we have:
[tex]\frac{8 - 16i + (6 \times - 1) }{16 - 4 ( - 1) } = \frac{2 - 16i}{20} = \frac{1 - 8i}{10} [/tex]
Divide. Write your answer as a fraction in simplest form.
−10 2/7÷(−4 4/11)= HELP PLS
Answer:
[tex] = \frac{33}{14} [/tex]
Step-by-step explanation:
[tex] - 10 \frac{2}{7} + ( - 4 \frac{4}{11} )[/tex]
➡️ [tex] - \frac{72}{7} \div - ( \frac{48}{11} )[/tex]
➡️ [tex] \frac{72}{7} \times \frac{11}{48} [/tex]
➡️ [tex] \frac{3}{7} \times \frac{11}{2} [/tex]
➡️ [tex] \frac{33}{14} [/tex] ✅
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
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
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.