Large population can be represented in scientific notations
The population in 30 years time is 1.53 * 10^11
The current population is given as:
[tex]\mathbf{Population = 5.1 \times 10^{10}}[/tex]
In 30 years time, the population would be 3 times more.
This means that, the population in 30 years time is: 3 multiplied by the current population.
So, we have:
[tex]\mathbf{New = 3 \times Population}[/tex]
So, we have:
[tex]\mathbf{New = 3 \times 5.1 \times 10^{10}}[/tex]
Multiply
[tex]\mathbf{New = 15.3 \times 10^{10}}[/tex]
Rewrite as:
[tex]\mathbf{New = 1.53 \times 10^{11}}[/tex]
Hence, the population in 30 years time is 1.53 * 10^11
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Which expression is equivalent to 2 x + 4 ?
Answer:
Step-by-step explanation:
GCF of 2x and 4 is 2
2x+ 4 = 2*x + 2*2
= 2*(x + 2)
Can somebody help ??
Step-by-step explanation:
the correct answer is 1/7
How did the temperature change? First, it decreased by 60%, and then it increased by 80%
Answer:
1.08 times (108% of) the starting value.
Step-by-step explanation:
Let's say the original temperature was 100. (if it wasn't, you just have to scale it accordingly: was it 50, you take half of the result, and so on). After the first "step" the temperature dropped by 60%. And 60% of 100 is conveniently 60. At this point, it increased by 80%. Now, 80% of 60 is 48. (every 10 units you take 8, so 8x6). At this point we increase 60 by this value to get 108. We started at a temperature of 100, so the new temperature is 108/100 = 1.08 times the original one - or in percentage, 108%
*
Select all the values that are in the domain.
{(-1, 2), (-2,3),
(-3,4),(-4,5)
Answer:
{-1, -2, -3, -4}
Step-by-step explanation:
The domain is the set of all x-values.
Given A(-3, 4), B(0, 1), and C(4,2), reflect as follows: Ry-axis(ABC). What is B
ASAP I WILL GIVE BRANILYIST ✨✨✨
Answer:
c,d
Step-by-step explanation:
for the first question
-3×5+5×-1/2 = -10 , so the answer is C
for the last question
3(x+2)-9
3x+6-9
3x-3 , so the answer is D
I need help with this
Which proportion can be used to find 65% of 90?
Answer: 65/100 = x/90
Step-by-step explanation: 65/100 = 65%
So, x/90 = 65/100
Thus, the answer is 65/100 = x/90
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Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years. He owes in interest. He needs to pay back in all.
Answer:
Interest: $96
He needs to pay back: $3,096
Step-by-step explanation:
1.6% = 0.016
(3000)(0.016) = $48
48 x 2 = $96
3,000 + 96 = $3096
If Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years. Then he has to pay 3009.6 back.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years.
A=P(1+rt)
A is final amount
P is principal amount
r is rate of interest
t is time period.
P=3000, r=0.16%=0.16/100=0.0016, t=2
A=3000(1+(0.0016)2)
=3000(1+0.0032)
=3000(1.0032)
=3009.6
Hence Canon needs to pay back 3009.6
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What is a formula for the nth term of the given sequence? 2, 4, 8...
Answer:
[tex]2^{n}[/tex]
Step-by-step explanation:
2=[tex]2^{1}[/tex]
4=[tex]2^{2}[/tex]
8=[tex]2^{3}[/tex]
Sequence is based on 2 to the power of n where n is greater than or equal to 1.
The difference of a number divided by 2 and 1 is 5 find the number
Answer:
Number is 10
Step-by-step explanation:
10 divided by 2 is 5 divided by 1 is also 5
What is the mean of a set of data?
The mean set of the data is the average, you find it by adding all the numbers up then dividing it by the amount of numbers added.
what numeral comes next in the series: 116,113,107,98...?
Step by step have a test tommorow don't know any math need help
Answer:
The next term in the sequence would be 86.
Step-by-step explanation:
116, 113, 107, 98...
The first thing I would do is find the difference between all consecutive terms.
[tex]116-113=3\\113-107=6\\107-98=9[/tex]
The difference increases by 3 for every consecutive term, meaning each consecutive term is decreased by 3 more than the last.
Knowing that pattern, the next term in the sequence must have a difference of 12:
[tex]9+3=12\\98-12=86[/tex]
The next term in the sequence would be 86.
A parallelogram is___a rhombus.
1. always
2.sometimes
3.never
A parallelogram is SOMETIMES a rhombus.
(It can also sometimes be a rectangle, and sometimes a square.)
(But rhombuses, rectangles, and squares are ALWAYS parallelograms. Also, squares are always rhombuses and rectangles.)
IM ON MY SISTER ACC AGAIN AND I NEED HELP!!!
Answer:
0.4, 4, 40, 400
600, 60, 6, 0.6
Step-by-step explanation:
Answer:
Divide by 10:
600, 60.0, 6.00, 0.6
Multiply by 10:
0.4, 4, 40, 400
When dividing, move the decimal point to the left, when multiplying move the decimal point to the right.
A local gym charges customers $20 for the first month and then an additional $14 for each month after that. If Josh has paid the gym $160, for how many months has he been a member?
show work !!
Answer:
11
Step-by-step explanation:
20 for first month. leaves 140. 140 ÷14 = 10
10+1 =11
Which equations represent linear functions?
•8x – 3y = 2
•y = |x – 41-7
•y + 8 = 5(x-4)
• y=-7
•y = 6
•y=-4x* - 6
Answer:
1,3,4,5 (2 and four I can't make out what the notations are)
Step-by-step explanation:
Any equation that has a constant slope is a linear equation.
1 has a slope of 8/3
3 has a slope of 5
4 and 5 have a slope of 0
2 looks to be some form of absolute value equation and therefore is in the shape of a V and not a straight line.
6 looks to be an equation with an exponent as part of a term and will have a gradually decreasing slope (decreasing because of the negative 4)
Solve the math problem
Answer:
negative
Step-by-step explanation
the slope is negative and/or its going lower as you go from left to right meaning its negative
please help me that question
Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially as
shown in the graph below. The engineers measure the depth after 1 hour to be 64 feet and after 4 hours to be
28 feet. Develop an exponential equation in y=a(6)" to predict the depth as a function of hours draining.
Round a to the nearest integer and b to the nearest hundredth. Then, graph the horizontal line y = 10 and
find its intersection to determine the time, to the nearest tenth of an hour, when the reservoir will reach a
depth of 10 feet.
The draining of the reservoir follows an exponential function
The reservoir will reach a depth of 10 feet at 7.6 hour
The given parameters are:
[tex]\mathbf{(x,y) = (1,64)(4,28)}[/tex]
An exponential equation is represented as:
[tex]\mathbf{y = ab^x}[/tex]
Substitute [tex]\mathbf{(x,y) = (1,64)(4,28)}[/tex] in [tex]\mathbf{y = ab^x}[/tex]
[tex]\mathbf{64 = ab^1}[/tex]
[tex]\mathbf{64 = ab}[/tex]
[tex]\mathbf{28 = ab^4}[/tex]
Divide [tex]\mathbf{64 = ab}[/tex] and [tex]\mathbf{28 = ab^4}[/tex]
[tex]\mathbf{\frac{ab^4}{ab} = \frac{28}{64}}[/tex]
[tex]\mathbf{b^3 = 0.4375}[/tex]
Take cube roots
[tex]\mathbf{b= 0.76}[/tex]
Substitute [tex]\mathbf{b= 0.76}[/tex] in [tex]\mathbf{64 = ab}[/tex]
[tex]\mathbf{64 = 0.76a}[/tex]
Solve for a
[tex]\mathbf{a = 84}[/tex]
So, the equation is:
[tex]\mathbf{y = 84(0.76)^x}[/tex]
See attachment for the graphs of [tex]\mathbf{y = 84(0.76)^x}[/tex] and y = 10
The point of intersection is: x = 7.6
Hence, the reservoir will reach a depth of 10 feet at 7.6 hour
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brainliest for answers
Answer:
B
Step-by-step explanation:
if this is correct can i get brainliest and i hope this helps (:
Which is the net for this triangular prism?
1
Answer:
The first one
Step-by-step explanation:
I think, because if you fold it, it will form the shape.
Cann someone please help??
option 1 is correct [5root2]
Answer:
It can be simplified to 5√2
Step-by-step explanation:
can i have help with this question please
Objective function: z=9x+7y
Constraints:
x ≥0, y ≥0
x+y ≥1
2x+4y ≤16
4x+2y ≤16
Find the objective function, the maximum value of Z, and where the maximum value occurs.
Answer:
The maximum value of z is 43.2 when x=2.7 and y=2.7 . The minimum value of f is 7 when x=0 and y=1
Step-by-step explanation:
f(x,y): z = 9x + 7y ... (1)
from the graphing we get the vertices of the constraint region formed are:
(0,4) (0,1) (1,0) (4,0) (2.7,2.7) ... plug in (1)
at (0,4): z = 28
at (0,1): z = 7
at (1,0): z = 9
at (4,0): z = 36
at (2.7,2.7): z = 43.2
The maximum value of z is 43.2 when x=2.7 and y=2.7 . The minimum value of z is 7 when x=0 and y=1
2+3×5(-4)÷5
how does it work
Identify an equation in point-slope form for the line parallel to y = 1x-7 that
passes through (-3,-2).
Answer:
y +2 = 1 (x +3)
Step-by-step explanation:
y = 1x - 7
Slope: 1
Point: (-3, -2)
The table shows information about all students doing GCSE's at a school.
Year 10 Year 11 Total
Girls 60 110 170
Boys 140 80 220
Total 200 190 390
What fraction of the boys are in Year 11?
Give your answer in its simplest form
I am Stuck and I need help
So there is a question I am stuck on and I would appreciate it alot of I got elp
Its a triangle squeezed in between 2 parrelel lines and im trying to find angles for
A / B / C
I have added a picture for you guys to see
Thank you and have a great day
Answer:
A=35° B=65° C=80°
Step-by-step explanation:
The sum of all three inner angles needs to be 180.
alternate interior angles are congruent.
NO LINKS i just need this last question Milan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $49.96 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $57.96 and costs an additional $0.13 per mile driven. How many miles would Milan need to drive for the two plans to cost the same?
Answer:
400
Step-by-step explanation:
hope this helps, have a good day
pls hurry!! i need this asap
Answer:
Look at image
Step-by-step explanation:
Look at image
Look at image
