Answer:
i) 32100 people
ii) 674100
iii) 5%
Step-by-step explanation:
The population in 2009 was : 642,000
The percent increase was by : 5%
This means the population in 2010 will be :
105/100 * 642000 = 674,100
i) Increase in population is ; 674,100 - 642,000 = 32100 people
ii) The population in 2010 was : 674,100
iii) Population of 2009 = 642000
Population of 2010 = 674,100
Increase in population = 674,100 - 642000 = 32100
Percent increase = increase/ original population * 100
Percent of increase = 32100/642000 * 100 = 5%
Exp
Ajug has a maximum capacity of 8 liters. It's filled to 30% of its capacity, and then poured out at a rate of 70 ml/s. Which of the following
expressions models the volume remaining in the jug, in liters, after 2 seconds?
Eva
A) 2.4 -0.07%
B) 8 -0.07
C) 2400 – 70
D) 8000 – 700
Answer:
I think it's C. Sorry if it's incorrect! I worked it out in like 2 min.
Algebraic Equation
2t - 29 = 7
What steps would you follow in order to solve the equation?
w/8 - 4 = 20
add 4 on each side and divide by 8
subtract 4 on each side and multiply by 8
add 4 on each side and multiply by 8
subtract 4 on each side and divide by 8
Answer:
128Step-by-step explanation:
Step one:
given the expression w/8 - 4 = 20
the first operation is to isolate the term that has w by adding 4 to both sides
w/8 - 4+4 = 20+4
w/8 = 16
Required
the value of w
Step two:
the next step is to cross multiply
w=16*8
w=128
If M is in the interior of ∠RTD, m∠RTM = 40°, and m∠RTD = 65°, then m∠MTD = .
Answer:
MTD = 75
Step-by-step explanation:
RTD + RTM + MTD = 180
65 + 40 + MTD = 180
105 + MTD = 180
Subtract 105 from both sides.
MTD = 75
Don't forget to mark me brainliest : )
When two straight lines or rays intersect at a shared endpoint, an angle is generated. The measure of the angle ∠MTD is equal to 15°.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
Given that point M is in the interior of ∠RTD. Also, the measure of ∠RTM=40°, and ∠RTD = 65°.
Now, since the two angles together form ∠RTD, therefore, we can write,
∠RTD = ∠RTM + ∠MTD
65° = 40° + ∠MTD
∠MTD = 65° - 40°
∠MTD = 15°
Hence, the measure of the angle ∠MTD is equal to 15°.
Learn more about Angle here:
https://brainly.com/question/7116550
#SPJ2
Find all real square roots of -100 if there is more than one answer separate them with commas if there are none, click on “None”
Answer:
None
Step-by-step explanation:
Square roots of negatives are imaginary numbers.
√-100=10iBut, i, √-1, is an imaginary number as the square root of negatives because if x•x=-1 (or any other negative), there would be no valid x.could anyone help with this, im terrible at geometry haha
Answer:
m<ACD = 90
m<CDB = 126
m<EDB = 54
m<CDE = 180
Step-by-step explanation:
Well you have the right girl! *In honors geometry you can trust me!
Ok first thing...We already know
B = 54
A = 90
D = 54 (It's the Alternate interior angle of B)
C = 90
m<ACD = 90 (C = 90)
m<CDB = 126 (D = 54 ------> 180-54= 126)
m<EDB = 54 (Alternate Interior angle of B)
m<CDE = 180 (It is a straight line)
Hope this helps ya!!
simplify (x^2+3)^2-(x^2-1)^2
Answer:
Simplify the expression.
8x² + 8
Answer:
8(x^2 +1)
Step-by-step explanation:
(x^2 + 3)^2 - (x^2 - 1)^2
(x^2 + 3 - (x^2-1)) • (x^2 + 3 + (x^2 - 1))
(x^2 + 3 - x^2 + 1) • (x^2 + 3 + (x^2 - 1)
(3 + 1) • (x^2 + 3 + x^2 - 1)
4(2x^2 + 1)
4 • 2(x^2 + 1)
8(x^2 +1)
What is the product of the binomials (4a – 1) and (2b + 3)?
18ab – 3
8a2b2 + 10ab – 3
6ab + 7a – 2b – 3
8ab + 12a – 2b – 3
Answer:
D. 8ab+12a-2b-3
Step-by-step explanation:
You are basically combining like terms
Answer:
D.) is the correct answer 8ab + 12a – 2b – 3
Step-by-step explanation:
Write each number in standard notation.
1) 6 x 103
2) 4.5 x 102
3) 7 x 107
4) 1.05 x 104
5) 3.052 x 103
6) 5 x 100
7) 9.87 x 10
8) 5.43 x 104
9) 4.32 x 103
6x + 3y = 54
How do i find the variable
Answer:
there are two variables x and y which variable do u need to find or do u need it in point slope form
Answer:
Simplifying
6x + 3y = 54
Solving
6x + 3y = 54
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
6x + 3y + -3y = 54 + -3y
Combine like terms: 3y + -3y = 0
6x + 0 = 54 + -3y
6x = 54 + -3y
Divide each side by '6'.
x = 9 + -0.5y
Simplifying
x = 9 + -0.5y
Step-by-step explanation:
Quadratic functions. Did I do it right?
Answer:
1) The graph is opening upwards
2) Axis of symmetry is x=-2
3) Vertex: (-2, 1) minimum y=1
4) y intercept is (0, 9)
5) domain: x|x ∈ R (All real numbers)
6) Range y|y ≥ 1
Please look at number 10. from the slope and write the equation for me
Answer:
y = 8x + 38
Step-by-step explanation:
To find the slope we set up y = mx + b and plug m (our slope) in and then plug in the point into x and y to find b (our y-intercept)
y = mx + b
y = 8x + b
6 = 8(-4) + b
6 = -32 + b
+32 +32
38 = b
So using our slope and our intercept we have our slope intercept
y = mx + b
y = 8x + 38
Hope this helps :)
Answer:
y - y1 = m(x - x1)
y - 6 = 8(x - (-4))
y - 6 = 8(x + 4)
y - 6 = 8x + 32
y = 8x + 32 + 6
y = 8x + 38
Step-by-step explanation:
First you input the given values ( m = 8 and (-4, 6)) into the point-slope equation.
After that, you multiply the 8 by the two terms inside the parentheses, giving you 8x and 32.
Then you add 6 to both sides of the equation to isolate the y.
The slope-intercept equation ends up looking like this: y = 8x + 38
Hope this helps :)
Heyy! What's the answer to this!?!? so far i got 1 out of 2 makrs so im like.. stuck but yehh
YYY, GYY, YGY, YYG, GGY, YGG, GYG, and GGG should be the answer
Answer:
yyy ggg gyy ygg ggy yyg ygy gyg
Step-by-step explanation:
Plz help ASAP thanks
Malcolm's boss is mad at him because he puts 5 meatballs in every sandwich
instead of 2. How many extra meatballs does Malcolm put in each sandwich?
O A. Subtract 2 from 5
O B. Divide 5 by 2
C. Multiply 5 by 2
D. Add 5 to 2
Answer:
a
Step-by-step explanation:
Answer:
he put 3 extra meatballs so i say A
Step-by-step explanation:
cuz if you take 2 from 5 you will have 3
I need the answer to this question please 4(3 - 2x) = 15
The correct answer would be -3/8 or in decimal form -0.375 :)
find the slope of the line through the pair of points (-4,12) , (-4,11)
is it undefined, 1, 0, or -1?
Answer:
Pretty sure its undefined
Step-by-step explanation:
Answer:
Undefined
Step-by-step explanation:
Looking at the change in x's theres no variation which means this is a vertical line, thus therefore this is an undefined line as the rise over the run or the change in y over the change in x will result in a divide by 0 situation making it (-4, all real numbers) aka undefined.
slope = rise/run = change in y/change in x = (y2-y1)/(x2-x1)
Hope this helps :)
Find the value of $c$ that makes $x^2+20x+c$ a perfect square trinomial. $c=$ Write the expression as the square of a binomial. The expression is .
9514 1404 393
Answer:
c = 100(x +10)²Step-by-step explanation:
The square of a binomial is ...
(x +a)² = x² +2ax + a²
Comparing this to your expression, we have ...
2a = 20 . . . . x-coefficient
a² = c . . . . . . constant term
Then ...
a = 20/2 = 10
a² = 10² = 100 = c
The square is then ...
(x +10)²
Answer:
c = 100 makes this a perfect square trinomial
Step-by-step explanation:
[tex]x^2+20x+c\\x^2+20x+100\\=(x+10)^{2}[/tex]
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four year
Answer:
Step-by-step explanation:
Step one:
given data
Maya
P=$1650
r=5%= 0.05
t= 4 years
The simple interest expression is
A=P(1+rt)
A=1650(1+0.08*4)
A=1650(1+0.32)
A=1650(1.32)
A=1650*1.32
A=$2178
James
P=$1600
r=8%= 0.08
t=4years
The compound interest expression is
A=P(1+r)^t
A=1600(1+0.08)^4
A=1600(1.08)^4
A=1600*1.360
A=$2176
After 4 years Mayas' balance is $2178
After 4 years James' balance is $2176
the difference is =2178-2176=$2
Find 7% of £40
PLEASE SHOW WORKINNG OUT
Answer:
£2.80
Step-by-step explanation:
7%= 7/100
(7/100)*40=2.8
Answer:
=£ 2.80 or £2 80p
Step-by-step explanation:
7% of £40
7 x 40 = 280
100 100
= £2.80 or £2 80p
Evaluate the expression for b = 8
2b=?
Answer: 16
2(8)
16
Step-by-step explanation:
b = 8
2(8)
= 16
6mn (2m-3n) equals to?
Answer and Step-by-step explanation:
Distribute the 6mn to the 2m and -3n
The answer is:
[tex](12m^{2} n ) - 18mn^{2}[/tex]
#teamtrees #WAP (Water And Plant)
Answer:
12m^2n - 18mn^2
Step-by-step explanation:
6mn(2m-3n)
Multiply with distributive property, so basically just multiply
12m^2n - 18mn^2
Please help! It’s already late! Help asap!
Answer:
D
explain:
attachment
Answer:
The answer is x = 6.
Step-by-step explanation:
The middle line is 2, and the leg is [tex]\sqrt{13}[/tex]. We can use the pythagorean theorem and use [tex]\sqrt{13}[/tex] as the hypotenuse and have 2 be a leg.
[tex]a^{2} + b^{2} = c^{2} \\\\2^{2} + b^{2} = \sqrt{13}^{2}[/tex]
[tex]4 + b^{2} = 13\\\\b^{2} = 9\\b = 3[/tex]
Since we know one of the bottom parts of x is 3, and the other triangle is the same as the on we solve, we do 3 + 3 which is 6. 6 is equal to x.
#teamtrees #WAP (Water And Plant)
Please help I have no clue
Answer:
c
Step-by-step explanation:
factorise (x²+3x)²-3(x²+3x-4
Answer:x^4+6x^3+6x^2-9x+12
Step-by-step explanation:
Help will give the brain crown or whatever it is!!!
Answer:
A will be 5 and B will be 25
solving the equation
pls help due today
Answer:
x = 9
Step-by-step explanation:
x² = 81
[tex]\sqrt{81} = 9[/tex]
9×9 = 81
x = 9
Answer:
Silly mistake haha I've been there. It would be 9 :)
Step-by-step explanation:
9x9 = 81 so 9^2 =81
If you had 3 then it would be 3x3=9 and 3^2= 9
You're welcome :)
PLEASE I NEED HELP!!!! 20 POINTS!!!
From - 17 to ... are all answers
What is the answer to this question.
Which equation shows the correct use of the Distributive Property?
−4(32x−12)=−15
A. 6x + 4 = –15
B. 2x – 12 = –15
C. –6x – 2 = –15
D. –6x + 2 = –15
Whomever answers first if you can get another person to answer the question then both users have a chance to be marked as brainliest.
#LearnWithBrainly
Answer:
A
because if you divide them
Suppose (ideally) a hammer claw moves a distance of 0.10 meters to remove a nail. If a resistance force of 1500 N is exerted by the claw, and you move the handle of the hammer 0.5 meters, what is the effort force?
Answer:
7500 N
Step-by-step explanation:
Given that,
A hammer claw moves a distance of 0.10 meters to remove a nail.
Resistance force, F = 1500 N
The person move the handle of the hammer 0.5 m
We need to find the effort force. Let it is F'. The mechanical advantage is given by :
[tex]m=\dfrac{effort}{resistance}=\dfrac{d_i}{d_o}[/tex]
Where [tex]d_i\ \text{and}\ d_o[/tex] are input and output distance respectively.
[tex]m=\dfrac{F'}{F}=\dfrac{0.1}{0.5}\\\\\dfrac{1500}{F}=\dfrac{0.1}{0.5}\\\\\dfrac{1500}{F}=0.2\\\\F=7500\ N[/tex]
So, the effort force is 7500 N.
Writ an equation of a parabola that has a vertex (1,3) and passes through the point (2,5)
Answer:
y=2x+1
Step-by-step explanation: