Answer:
2^2 = 4
Step-by-step explanation:
2*2 = 4
Population of California in the year 1995 was 32 million. If the population grows at a rate of 2%, what will the population be in 2025?
Answer:
hi 51.2 is the answer
Step-by-step explanation:have a good day.
The population of California in the year 2025 is approximately 57.96 million.
To calculate the population of California in 2025, we need to use the population growth formula:
Population in the future = Population in the present * [tex](1 + Growth rate)^{Number of years}[/tex]
Given:
Population in 1995 = 32 million
Growth rate = 2% = 0.02 (in decimal form)
Number of years = 2025 - 1995 = 30 years
Now, let's calculate the population in 2025:
Population in 2025 = 32 million * (1 + 0.02)³⁰
Population in 2025 ≈ 32 million * (1.02)³⁰
Population in 2025 ≈ 32 million * 1.8114
Population in 2025 ≈ 57.9648 million
Therefore, the population of California in the year 2025 is approximately 57.96 million.
To know more about population:
https://brainly.com/question/15889243
#SPJ2
98% of a number is 49 find the number using proportional reasoning
Answer:
98% of 50 is 49. 100% of 50 is 50, therefore 98 percent of 50 equals 49.
Step-by-step explanation:
Multiplying both sides by 100 and dividing both sides by 98,
we have x = 49 ×
100 /98 X=50
1. The temperature was very cold. Then the temperature doubled. Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature?
Answer:
10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
**PLEASE HELP**
Find the equation, f(x)=a(x-h)^2+k, for a parabola that passes through the point (0,0) and has a (-3,-6) as its vertex. What is the standard form of the equation?
A.) The vertex form of the equation is f(x)= - 2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
B.) The vertex form of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)+-2/3x^2-4x.
C.) The vertex form of the equation is f(x)= - 2/3(x-3)^2-6. The standard form of the equation is f(x)=2/3x^2-4x.
D.) The vertex of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
Answer:
D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).
If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:
[tex]a\cdot (0+3)^{2}-6 = 0[/tex]
And the value of [tex]a[/tex] is:
[tex]9\cdot a - 6 = 0[/tex]
[tex]a = \frac{2}{3}[/tex]
And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].
Lastly, the standard form of the equation is found by algebraic means:
[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]
[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]
The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
In consequence, the right answer is D.
Find the value of x and y. Write your answers in simplest form.
Answer:
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
Step-by-step explanation:
Calculating (x):
Here, we make use of the tan formula
[tex]tan\theta = \frac{Opp}{Adj}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Adj = x[/tex]
This gives:
[tex]tan\ 60= \frac{16}{x}[/tex]
Make x the subject
[tex]x = \frac{16}{tan\ 60}[/tex]
tan(60) in surd form is [tex]\sqrt{3}[/tex]
So:
[tex]x = \frac{16}{\sqrt{3}}[/tex]
Rationalize
[tex]x = \frac{16}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
Calculating (y):
Here, we make use of the tan formula
[tex]sin\theta = \frac{Opp}{Hyp}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Hyp= y[/tex]
This gives:
[tex]sin\ 60= \frac{16}{y}[/tex]
Make y the subject
[tex]y= \frac{16}{sin\ 60}[/tex]
tan(60) in surd form is [tex]\frac{\sqrt{3}}{2}[/tex]
[tex]y= \frac{16}{\frac{\sqrt{3}}{2}}[/tex]
[tex]y = 16/\frac{\sqrt 3}{2}[/tex]
[tex]y = 16*\frac{2}{\sqrt 3}[/tex]
[tex]y = \frac{32}{\sqrt 3}[/tex]
Rationalize
[tex]y = \frac{32}{\sqrt 3}*\frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
Solve -2(x-5) + 3x = 2(x+3) + 17 *
Answer:
x=-13
Step-by-step explanation:
Hope this helped :)
Answer:
x = -13
Step-by-step explanation:
-2x + 10 + 3x = 2x + 6 + 17
x + 10 = 2x + 6 + 17
x + 10 = 2x + 23
10 = 2x + 23 - x
10 = x + 23
10 - 23 = x
-13 = x
x = -13
Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?
Answer:
$4.50/ g - Games
Step-by-step explanation:
$18
------------- = $4.50/g
4 g
$27
------- = $4.50/g
6 g
C(x) = ($4.50/game)x, where x is the # of games played.
Can you help me please
Answer:
f(-4)=3(4)^2-5(4)
16*3-20
48-20
f(-4)=28
The $99.99 digital camera Mia purchased was on sale for 15% off. What
amount did Mia get off the price?
Answer:
84.99
Step-by-step explanation:
How to write 1 billion and 67.9 in expanded formp
Answer:
1,000,000,000+60+7+.9
Explanation:
Start by writing out 1 billion and then add the 67.9!
A glacier in Alaska moves about 29.9 meters a day. How much farther will it move in 1,000 days than in 100 days?|
Answer:
(1000x29.9)-(100x29.9)=29900-2990=26910
26910
Step-by-step explanation:
A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?
Answer:
The gas pump filling the gallons in 1 minute will be: 15
Step-by-step explanation:
Given that a gas pump fills 2^-2 gallon of gasoline per second.As there are 60 seconds in 1 minute.
Thus,
Gas pump filling the gallons in 1 minute will be:
[tex]60\:\times 2^{-2}[/tex]
[tex]=60\times \frac{1}{2^2}[/tex] ∵ [tex]a^{-b}=\frac{1}{a^b}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]
[tex]=\frac{1\times \:60}{2^2}[/tex]
[tex]=\frac{60}{2^2}[/tex]
[tex]=\frac{2^2\times \:3\times \:5}{2^2}[/tex]
[tex]=3\times \:5[/tex]
[tex]=15[/tex] gallons in one minute
Therefore, the gas pump filling the gallons in 1 minute will be: 15
What is measure of arc NP?
adding fractions with unlike denominators
Answer:
-5/6
Step-by-step explanation:
Multiplying numerators and denominators to get the LCD in all fraction denominators
=−7×38×3−1×83×8+3×38×3
Then rewriting the equation with the equivalent fractions
=−2124−824+924
With like denominators we can operate on just the numerators
=−21−8+924
=−2024
Simplifying the answer
=−56
write the equation of the like that is parallel to the line y=3x+6 and passes through the point (4,7)
Answer:Find the slope of the original line and use the point-slope formula
y
−
y
1
=
m
(
x
−
x
1
)
to find the line parallel to
y
=
3
x
+
6
.
y
=
3
x
−
5
Step-by-step explanation:
9x - y power two - 20 ≥ 0 i need every passage
Answer: photo
Step-by-step explanation:
I am not sure but hope it helps
Demarcus and Devon were working on this problem:
A phone costs $300. The price will increase by 15%
next week.
Devon thinks the new price of the phone will be $315.
Demarcus thinks it will be $345. Who is right?
Answer:
Demarcus is right the phone will cost $345
Step-by-step explanation:
15% of 300 = 45
300+45=345
What is 3(2+q)+15 simplified
Answer:
The Answer should be....
3q + 21
answer please I’ll mark you brainlist answer
Answer:
6 lb = 2721.552 g
Step-by-step explanation:
1 lb = 453.592 g
6lb = 453.592 g × 6 = 2721.552 g
Can someone please help me if you know! Thank you
Answer:
D
Step-by-step explanation:
the equation for Josh is 500 + 40x while the equation for Vanessa is only 60x
if josh's account balance is greater than it would be josh > vanessa or vanessa < josh
4x^2+x^3 factorised
How do you do this?...
Answer:
X²(4+x)
Step-by-step explanation:
You pick out the common term
Greetings.
The answer is x²(4+x)
Explanation:
[tex]4x^2+x^3\\[/tex]
By using a common factor, we factor x-term out. We factor the x-term with least degree and that is 2-degree. So we factor x² out.
When factored out, It's similar to dividing. When x² is divided by itself, the result is 1. When x³ is divided by x², the result is x (From the property of exponent.)
Similar to dividing, but we pull x² out.
[tex]4x^2+x^3\\x^2(4+x)[/tex]
Therefore, the answer/factored form is x²(4+x)
A chocolate chip cookie recipe needs 2 cups of chocolate chips and teaspoon of salt. If the recipe is increased to 6 cups of chocolate
chips, how many teaspoons of salt are needed?
Answer:
3 teaspoons
Step-by-step explanation:
Since we need 1 teaspoon for 2 cups, I would only assume we would keep adding a teaspoon for every 2 additional cups of chocolate chips.
2 + 2 + 2 = 6
We would need an additional teaspoon of salt for each of the sets of two.
Q = x^2 - 15x + 56 = 0
Answer:
x = 8
x = 7
Step-by-step explanation:
Solving x2-15x+56 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -15
C = 56
Accordingly, B2 - 4AC =
225 - 224 =
1
Applying the quadratic formula :
15 ± √ 1
x = —————
2
So now we are looking at:
x = ( 15 ± 1) / 2
Two real solutions:
x =(15+√1)/2= 8.000
or:
x =(15-√1)/2= 7.000
Find the first 5 terms of the sequence, and state its rule.
12n-12
Need it asap i will mark brainliest
Answer:
Sequence; 12, 24, 36, 48, 60, 72, 84, 89, 108...
12th value: 144
The sum of all numbers go through the 12th : 936
Step-by-step explanation:
Answer:
It’s rule is to find the first 5 terms of the variable “n”
Step-by-step explanation:
Help please and show ya work
Answer:
D: 14.5
Step-by-step explanation:
4.1 = d - 10.4 add 10.4 to each side
14.5 = d
Answer:
14.5
Step-by-step explanation:
10.4 - 4.1 = 14.5
If EG=71 , find the value of x
Answer:
A
Step-by-step explanation:
A = 71 so then EG = 91
100 points. Function fis a quadratic function passing through the points (-4,0), (0, -12) Function gis modeled by the graph.
Answer:
Open points on 1 and 3 with ray connecting.
Step-by-step explanation:
Because it's right.
From the graph of the function |(f)| and |(g)|, the interval at which both functions are negative are 1 and 3.
What is a quadratic function?A quadratic function can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the graph of a quadratic function is parabolic because it is u-shaped. From the graph of the function |(f)| and |(g)|, we can deduce that the interval at which both functions are negative are 1 and 3 as shown in the image attached below.
Read more on functions here: https://brainly.com/question/4246058
#SPJ2
I also need help with this haha,, I'm bad at algebra 2
Help please! I need an explanation but I dont understand this!!!!!!!
Answer:
its to small
Step-by-step explanation:
Add -4 + (-15).
-11
19
-19
11
Step-by-step explanation:
-4+(-15)
=(-19)
I think it helps you