Answer:
245,564people
Step-by-step explanation:
The population of Algebra City is approximately 314,159 people, but the rate decreases at 2.7% each year. About how many people will live in Algebra City in 9 years?
We solve for the above question using the formula for Exponential decrease. =
P(t).= Po(1 - r)^t
Where
P(t) = ?
Po = Initial population = 314159
r = 2.7% = 0.027
t = time = 9 years
P(t) = 314159(1 - 0.027)⁹
= 245564.2088
Approximately to the nearest whole number = 245,564people
If you went to a dinner with 4 choices of appetizers, 5 main courses, and 2 desserts... the
number of meal options is an example of......
1.Counting Pr inciple
2.Permutation
3.Combination
Answer:
1. counting principle
Step-by-step explanation:
-----
Please help will Mark brainliest
Answer:
3.v-4=6
v=6+4
v=10
6.y-32=-1
y=-1+32
y=31
9.-1=t+(-19)
-1=t-19
-1+19=t
18=t
12.u+(-5)=-15
u-5=-15
u=-15+5
u=-10
15.47=w-(-8)
47=w+8
47-8=w
39=w
21.18f=-216
f=-216/18
f=-12
24.96=-24a
96/-24=a
-4=a
27.-84=d/3
-84*3=d
-252=d
30.81=1/6*n
81=n/6
81*6=n
486=n
33.5/9*p=-10
5p=-10*9
p=-90/5
p=-18
√48m^4 n^3 p^4
simplify square roots
Answer:
4m^2np^2√3n
Step-by-step explanation:
If [tex]\frac{a+b}{3} =\frac{b+c}{6} =\frac{c+a}{5}[/tex] then prove that: [tex]\frac{a+b+c}{a} =7[/tex]
Answer:
[tex]\dfrac{a+b+c}{a} =7[/tex]
Step-by-step explanation:
Given :-
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}[/tex]And we need to prove that ,
[tex]\dfrac{a+b+c}{a} =7[/tex]So let us assume that ,
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k[/tex]
Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,
[tex]\dfrac{a+b}{3}=k[/tex][tex]\implies a + b = 3k \quad \dots (i) [/tex]
Similarly we can say that ,
[tex]\implies c + b = 6k \quad \dots (ii)[/tex]
[tex]\implies a + c = 5k\quad \dots (iii) [/tex]
Subtracting (i) and (ii) :-
[tex]\implies a - c = -3k \quad \dots (iv) [/tex]Adding (iv) and (iii) :-
[tex]\implies 2c = 4k [/tex]
[tex]\implies \boxed{c = 4k }[/tex]
Put this is (ii) :-
[tex]\implies b +4k = 6k [/tex]
[tex]\implies \boxed{b= 2k }[/tex]
Similarly we will get ,
[tex]\implies \boxed{a = k }[/tex]
Proving the given equation :-
[tex]\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}[/tex]
Hence proved !
The box-and-whisker plot below represents some data set. What percenta data values are less than 66?
Given:
The a box-and-whisker plot if a data set.
To find:
The percentage of data values that are less than 66.
Solution:
From the given box-and-whisker plot, it is clear that the number 66 is the highest value of the data set.
It means all the values of the data set are less than 66 and no value can be more than 66.
All value means 100%.
Therefore, 100% of data values are less than 66.
PLZZZ HELPZZZZZZZZZZZZZZ
Answer:
option 1 , not correct
x + 3 > -7
x > -7 - 3
x > -10
x ={ - 9, - 8, - 7 . . .}
option 2, not correct
x - 3 ≤ -7
x ≤ -7 + 3
x ≤ -4
x = { -4, -5, -6 . . . }
option 3, not correct
x - 3 ≥ -4
x ≥ -4 + 3
x ≥ -1
x ={ -1, 0 , 1 , 2 . . .}
option 4, correct
x - 3 ≥ -7
x ≥ -7 + 3
x ≥ -4
x ={ -4, -3, -2 , -1 , 0 , 1 , 2. . . }
Please help, I don’t know what I’m supposed to do
What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10
Answer:
f = 2
Step-by-step explanation:
equate the log
therefore,
2f + 4 = 14 - 3f
collect like terms
2f + 3f = 14 - 4
5f = 10
divide through by 5
f = 10/5
f = 2
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the
second equation is substituted into the first equation
3x + 2y = -21
x - 3y = 4
3(3y + 4) + 2y = -21
3(-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 2(-3y + 4) = -21
Answer:
answer is
3(3y+4) + 2y = -21 .
Mr.Li bought a memory card for $138.89 including tax.The card had a sticker price of $129.20.What percent sales tax did he pay.
Answer:
7.5%
Step-by-step explanation:
Cost of memory card including tax = $138.89
Cost of memory card only = $129.20.
Cost of tax on memory card = Cost of memory card including tax - Cost of memory card only
= $138.89 - $129.20
= $9.69
Cost of tax on memory card = $9.69
What percent sales tax did he pay.
Percent of tax = Cost of tax on memory card / Cost of memory card only
= $9.69 / $129.20 × 100
= 0.075 × 100
= 7.5%
Percent of tax = 7.5%
PLEASE HELP! FIRST ANSWER GETS POINTS AND MARKED BRAINLIEST. If joe has 13 pieces of art but his teacher tells him to make 13 times more, how many does joe have to make?
Answer: 169 more?
Step-by-step explanation: I multiplied 13x13 and got 169
Explain why 0.25 ×0.4 has only one decimal in the product
Answer: Because a decimal times a decimal is always going to be smaller than the original decimal.
Step-by-step explanation:
If each triangle is the right Triangle yes or no?
Answer:
This is not a right triangle
Step-by-step explanation:
right triangle has a 90° angle and this triangle does not have a 90° angle
An electrician needs 3/8 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 2 1/4 rolls of wire? Write your answer as a fraction or as a whole or mixed number.
Answer: 6 rooms
Step-by-step explanation:
3/8 rolls of wire are needed to wire a room in a house. If there are a total of 2¹/₄ rolls of wires, the number of rooms that could be wired is:
First convert to an improper fraction:
2¹/₄ = 9/4 rolls of wire
Total number of rooms that can be wired are:
= Total amount of wire available / Wires per room
= 9/4 ÷ 3/8
= 9/4 * 8/3
= 72 / 12
= 6 rooms
hey guys, can someone tell me the answer for this question?
[tex] \sqrt[2]{24 + 12} \: \times \sqrt{ {6}^{4} } \times {5}^{2} [/tex]
Answer:
root 24+12 is root 36 which is equal to 6
4 root of 6 is 36 the power of 2 which is equal to 36
5 the power of 2 is 25
then when we multiple 6x36x25
it's 5400
Answer:
Answer = 1080
Step-by-step explanation:
Hey there!
Here's the initial equation:
[tex]\sqrt{24+12} * \sqrt{6^4 * 5^2}[/tex]
What I'll do now is sum what's in the left root.
[tex]\sqrt{36} * \sqrt{6^4 * 5^2}[/tex]
Since [tex]\sqrt{36}[/tex] = 6, we get this equation:
[tex]6 * \sqrt{6^4 * 5^2}[/tex]
Now: You can see that the five is elevated to the second. Since it is a square root, you can just pop it out:
6 * [tex]5\sqrt{6^4}[/tex]
6 * 5 = 30, so here's what you got:
[tex]30\sqrt{6^4}[/tex]
At this point you should see that:
[tex]6^4[/tex] = 6 * 6 * 6 * 6
6 * 6 * 6 * 6 = 36 * 6 * 6
36 * 6 * 6 = 36 * 36
36 * 36 = 36²
Now you have this:
[tex]30\sqrt[2]{36^2}[/tex]
Since it is a square root and a square number, you can do just as with the five: Pop it out! (When you take numbers out of the root they multiply, they do not add. Never forget that ;).
30 * 36 = 1080
Answer = 1080
find the measure of angle H in the photo above
Answer:
H = 31 degrees
Step-by-step explanation:
To find the value of the angle marked H, we will use he circle angle theorem
We have it that;
H = (88-26)/2
H = 62/2
H = 31 degrees
PLEASE HELP!!!! I will give away 100 pts and Brainliest to correct the answer!
Answer:
translation by T (x-5 y+0)
Step-by-step explanation:
----------
Answer:
There is not a lot of change, the only change is that is moved 5 units to the right.
Step-by-step explanation:
Hope this helps! :)
Hope you a 100% on the test
heyy! i’ll give brainliest please help.
Answer:
I believe it's the Gulf Stream
Step-by-step explanation:
"Warmer air associated with the North Atlantic drift brings warmer Gulf Stream waters to the western areas of the British Isles. Keeping it much warmer than it would otherwise be."
Answer:
im going to say the equator
Step-by-step explanation:
heyy! i’ll give brainliest please help
Answer:
North?
Step-by-step explanation:
In ΔHIJ, j = 98 cm, h = 38 cm and ∠I=23°. Find the length of i, to the nearest centimeter.
Answer:65
Step-by-step explanation:
16x - 77 = 115
What is the answer
Answer:
16x-77 add 77 to 115 then divide 115 and 16 and x is your answer
Answer:
The answer is : x=12
Step-by-step explanation:
Move all terms that don't contain the variable x to the right, then solve.
Please give me brainliest if I helped!
Find the area of this circle. Use 3.14 for pi . the circle is 72 in
Answer:
16277.76 in
Step-by-step explanation:
area
[tex]\pi \times {72}^{2} [/tex]
if the value of a in the quadratic function f(x) = ax^2 + bx + c is 1/2, the function will:
Answer:
Open up and have a minimum
Step-by-step explanation:
If the x² coefficient is:
Positive, the graph will open up and have a minimum
Negative, the gaph will open down and have a maximum
Answer:
opens up and has a minimum
Step-by-step explanation:
Provided a is not 0, y=ax^2+bx+c will be a parabola.
The parabola will open up and have a minimum if a is positive.
The parabola will open down and have a maximum if a is negative.
Since 1/2 is positive, then your parabola opens up and has a minimum.
List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.
How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.
Answer:
In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.
Step-by-step explanation:
Stay Safe <3 =3 Can I maybe Get Brainliest?
Which equation is represented by the graph below?
solve for x in the equation (x-3)³
Answer:
x=3
Step-by-step explanation:
firstly this equation isn't possible without it equaling to something. I set it equal to zero and got x=3.
EX:
(x-3)^(3)=0
F(x)=x^2. What is g(x)
Answer:
D
Step-by-step explanation:
I NEED HELP I WILL GIVE BRAINLIEST!
A. 11
B. 13
C. 21
D. 4
Answer:
c
Step-by-step explanation:
Help with this problem pls
As x increasing y decreases.
As x decreases, y increases.
Please mark as the brainliest.
Hope it helps you.
Thank You
How many degrees does the hour hand of a clock turn between 3 p.m and 7:30 p.m ?
A clock has 12 hours on it.
360/12 = 30
Each hour is 30 degrees.
3pm to 7:30pm is 4.5 hours
Multiply total hours by degrees per hour:
4.5 x 30 = 135 degrees
Answer:
135 degree
Step-by-step explanation:
difference of 3pm to 7:30 is 4 hrs 30 min
12hrs=360degree
60min=360degree
4×360/12
=120
360/12×60×30
360×30÷720
15
now
120+15
135degree