9514 1404 393
Answer:
r ≈ 19.6% per day
Step-by-step explanation:
The growth of the population can be modeled by ...
P = P0 × (1 +r)^t
where P0 is the initial population, r is the growth rate (per day), and t is the number of days. Using the given numbers, we can find r to be ...
600,000 = 100,000 × (1 +r)^10
6^(1/10) = 1 +r
r = 6^0.1 -1 ≈ 0.196231
The growth rate per day is about 19.6%.
Plss help number is 21952 and 115248
Answer:
Step-by-step explanation:
Bonjour,
2^4 * 7^3 => 16* 343 = 5488
21 952 / 5 488 =4
115 248/5 488 = 21
9514 1404 393
Answer:
2⁴·7³
Step-by-step explanation:
The set of primes that are factors of 21952 is {2, 7}.
The set of primes that are factors of 115248 is {2, 3, 7}.
Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.
The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.
The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.
So, the Highest Common Factor of the two numbers is 2⁴·7³.
least multiple of 2983548
Answer:
it must be 2983548×2............
X/2-7=9 find answer for x
Answer:
x=-14
Step-by-step explanation:
Using rational numbers how do you solve -37 + (-64)
Answer:
-101
Step-by-step explanation:
An addition sign in front of the negative number means to subtract that number.
Another way to write -37 + (-64) is:
-37 - 64
-37 - 64 = -101
The HCF of 8 , 12 and 24 is ______
Answer:
the Highest common factor (HCF)of 8,12,24 is 4
y/5+7=9 solve the problem by using addition or subtraction and multiply and divide
Answer:
y=10
Step-by-step explanation:
y/5+7=9
y/5=9-7
y/5=2
y=2*5
y=10
Use the figure to name a plane containing point Z.
20×2×÷
2920w0#
393020×22¥3¥
3i839393
Answer:
if we join the angle Z the it will formed as acute angle
if you like ans hit like
thank you
HELP PLSSS ANSWER IS D
STEPS PLS
I WILL GIVE BRAINLEST !!!
Answer:
2yz/x
Step-by-step explanation:
Given: z/4=x/y
Let's isolate 4 since 8=4(2) which means after isolating 4 we just need to multiply that resulting equation by 2.
Cross multiply:
zy=4x
Divide both sides by x:
zy/x=4
Multiply both sides by 2:
2zy/x=8
solve for y
-10x + 2y =4
Answer:
y = 5x + 2
Step-by-step explanation:
Add 10x to both sides
2y = 10x + 4
Divide both sides by 2
y = 5x + 2
The height of a triangle is 5 cm more than its base. The area of the triangle is 52 square centimeters. What is the base of the triangle?
Answer:
the base is 8 cm
Step-by-step explanation:
basically, we need to set up a system of equations.
if we know the area of a triangle is 1/2bh, and that h = b + 5, (because we want them to equal one another in the equation), we can then make two different equations and substitute the h for b.
1/2bh = 52 and h = b+5
subsitute in the (b+5) for the h in the first equation to get
(1/2)(b)(b+5) = 52
multiply both sides by two to get rid of the 1/2
b)(b+5) = 104
now multiply the bs together!
b^2 + 5b = 104
If you know how to factor, we can make this
b^2 +5b -104 and then
(b+13)(b-8) = 0
solve for b to get b = -13, 8, and -13 isn't a real distance, so the only option for b is 8 square centimeters.
Plugging this back into the original equations to get the height (and checking that it is actually right,) we get a height of 13.
When you plug in the 13 and 8 into the area equation, you get
(8)(13)(1/2) = 52
52 = 52
so it works!
lmk if anything is confusing- i know I kind of breezed by the factoring part, but if you have a calculator you can keep dividing 104 by random numbers until you get the right difference if you get kind of lost. The formula
[-b+-sqrt(b^2-4ac)]/2a is another way you could always get the right answer, (from the form Ax^2 + Bx + C), but it's pretty time consuming and I'm not sure whether you've actually learned that yet..
hope that helps! :)
this is a for real question i need some help
Answer:
5/12
Step-by-step explanation:
Multiply [tex]\frac{1}{2}[/tex] times [tex]\frac{5}{6}[/tex] by multiplying the numerator times the other numerator and the denominator by the other denominator. Which leaves you with [tex]\frac{5}{12}[/tex].
hope this helps!
Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
rufur colou colon uju
Answer:
2/5
Step-by-step explanation:
Use the formula for slope to solve [ y2-y1/x2-x1 ].
7-5/9-4
2/5
Best of Luck!
A number is multiplied by 9 , and that product is added 3. The sum is equal to the product of 3 and 7 . Find the number.
Answer:
The unknown number is 2.
Step-by-step explanation:
Let x represent the unknown number.
It is multiplied by 9 then added to 3. Hence, it can be represented by the expression:
[tex]9x + 3[/tex]
The sum is equal to the product of 3 and 7, or 21. Therefore:
[tex]9x + 3 = 21[/tex]
Solve for x. Subtract 3 from both sides:
[tex]9x = 18[/tex]
And divide both sides by 2. Hence:
[tex]x = 2[/tex]
In conclusion, the unknown number is 2.
Reason Is Figure B a transformation
or why not?
Answer:
yes it is a dilation
Step-by-step explanation:
a dilation makes the size different but shape the same. as we can see the shape is the same meaning this is a non rigid motion or called a dilation.
Which point in the table does not lie on the same lie on the same line
as the other three points?
1, -1.5
2, 0.5
5, 7.5
6, 8.5
Pls answer fast, I thank u am for seeing this problem!
Answer:
(5,7.5)
Step-by-step explanation:
Hope this helps (:
Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
Answer:
f(x) = (x + 3)(x − 3)(x − 1)
Step-by-step explanation:
The roots are at -3, -1 and 3 therefore the 3rd option is correct.
Answer:
The answer is D
Step-by-step explanation:
Attatched photo for proof
A shirt retails for $22.40. A 10% tax is then applied to the original. What’s the final price after tax?
Answer:
24.64
Method:
You get 10% of the shirt cost, and it on to the 22.40
Helppppp, please!!!!
Answer:
for the mean you have to do formula efx/n other i dont know
Select the best answer for the question.
13. What's the sum of 25 and 24?
A. %10
B.1%20
c.
D. 8/20
Answer:
Sum means addition so you add them together. I don't know why there are a bunch of percentage signs but the answer is 49.
Is 4 or 3 bigger in a integer
Answer:
4 is bigger than 3
Step-by-step explanation:
4 is bigger than 3
But
-3 is bigger than - 4
cho hàm số y= x^{3} +3x^{2} -1 .viết phương trình tiếp tuyến tại điểm có hoành độ bằng -1
hope you do not mind expressing this on in English ♂️
Given f(x)=x^2 and G(x)=x-1
9514 1404 393
Answer:
g(f(7/3)) = 4 4/9
Step-by-step explanation:
g(f(7/3)) = g((7/3)²) = g(49/9) = 49/9 -1 = 40/9
g(f(7/3)) = 4 4/9
The length of the parallel sides of a trapezium are 3cm and 1 cm, and the distance between them is 1 cm. What is its area?
Answer:
A = 2 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the distance between parallel sides and b₁, b₂ , the parallel sides
Here h = 1, b₁ = 3, b₂ = 1 , then
A = [tex]\frac{1}{2}[/tex] × 1 × (3 + 1) = [tex]\frac{1}{2}[/tex] × 4 = 2 cm²
The midpoint of AB is (1, 2). The coordinates of A are (-3,6).Find the coordinates of B.
Midpoint has coordinates [tex](x_m,y_m)[/tex] which equal to,
[tex]x_m=\frac{x_1+x_2}{2}[/tex]
[tex]y_m=\frac{y_1+y_2}{2}[/tex]
We know the coordinates of a midpoint as well as the coordinates of [tex]A(x_1,y_1)[/tex] so we should be able to find coordinates of [tex]B(x_2,y_2)[/tex].
First solve both equations for [tex]x_2[/tex] and [tex]y_2[/tex] respectively,
[tex]x_2=2x_m-x_1[/tex]
[tex]y_2=2y_m-y_1[/tex]
Now insert the data,
[tex]x_2=2\cdot1-(-3)=\boxed{5}[/tex]
[tex]y_2=2\cdot2-6=\boxed{-2}[/tex]
The coordinates of B are therefore [tex](5,-2)[/tex].
Hope this helps :)
The midpoint of AB is (1, 2) the coordinates of A are (-3,6) coordinates of B coordinates of point B are (5, -2).
To find the coordinates of point B given that the midpoint of AB is (1, 2) and the coordinates of A are (-3, 6), use the midpoint formula:
Midpoint formula: M(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)
Given that M is the midpoint (1, 2) and A is (-3, 6), we have:
(1, 2) = ((-3 + x2) / 2, (6 + y2) / 2)
Solve for x2 and y2:
For x-coordinate:
1 = (-3 + x2) / 2
2 = -3 + x2
x2 = 2 + 3
x2 = 5
For y-coordinate:
2 = (6 + y2) / 2
4 = 6 + y2
y2 = 4 - 6
y2 = -2
To know more about coordinates here
https://brainly.com/question/32836021
#SPJ3
express the following ratio as fraction and reduce them to their simplest form 200 meters : 1.4 kilometre
Step-by-step explanation:
200m:1.4km
200m:1400m
1:7
The random variable X has the following probability mass function.
X -1 0 2 6 7
P(x) 0.3 0.1 0.3 0.2 0.1
Required:
a. Find the probability P( -1 < X ≤ 2) = ______
b. Find the cumulative distribution function F(x) and calculate F(3.2) = _____________
c. E(X) = ___________
d. Var(X) = __________
e. Suppose the number of errors in a piece of software has a Poisson distribution with parameter λ=3. The probability that there are 5 errors in a piece of software is ____.
Given the PMF
[tex]P(X=x) = \begin{cases} 0.3 & \text{if } x \in \{-1, 2\} \\ 0.1 & \text{if } x \in \{0, 7\} \\ 0.2 & \text{if } x = 6 \\ 0 & \text{otherwise} \end{cases}[/tex]
(a)
[tex]P(-1 < X \le 2) = P(X = 0) + P(X = 2) = 0.1 + 0.3 = \boxed{0.4}[/tex]
(b) The CDF is defined as [tex]F_X(x) = P(X \le x)[/tex], so that
[tex]F_X(x) = \begin{cases} 0 & \text{if } x < -1 \\ 0.3 & \text{if } -1 \le x < 0 \\ 0.4 & \text{if } 0 \le x < 2 \\ 0.7 & \text{if } 2 \le x < 6 \\ 0.9 & \text{if } 6 \le x < 7 \\ 1 & \text{if } x \ge 7 \end{cases}[/tex]
It follows that
[tex]F(3.2) = \boxed{0.7}[/tex]
(c) Expectation is defined as
[tex]E[X] = \displaystyle \sum_x x\,P(X=x)[/tex]
We have
[tex]E[X] = \displaystyle \sum_{x\in\{-1,0,2,6,7\}} x\,P(X=x) \\\\ E[X] = -P(X=-1) + 2P(X=2)+6P(X=6)+7P(X=7) \\\\ E[X] = -0.3 + 0.6 + 1.2 + 0.7 = \boxed{2.2}[/tex]
(d) First compute the second moment of X, which is defined as
[tex]E[X^2] = \displaystyle \sum_x x^2\,P(X=x)[/tex]
We get
[tex]E[X^2] = (-1)^2P(X=-1) + 2^2P(X=2) + 6^2P(X=6) + 7^2P(X=7) \\\\ E[X^2] = 0.3 + 1.2 + 7.2 + 4.9 = 13.6[/tex]
Variance is defined as
[tex]\mathrm{Var}[X] = E[(X - E[X])^2] = E[X^2] - E[X]^2[/tex]
so it follows that
[tex]\mathrm{Var}[X] = 13.6 - 2.2^2 = \boxed{8.76}[/tex]
(e) Not sure what this part has to do with the rest of the question. At any rate, if Y is a random variable following a Poisson distribution with λ = 3, then Y has a PDF of
[tex]P(Y=y) = \begin{cases}\dfrac{e^{-3}\times3^y}{y!}&\text{if }y\in\{0,1,2,\ldots\}\\\\0&\text{otherwise}\end{cases}[/tex]
Then
[tex]P(Y > 5) = 1 - P(Y \le 5) = 1 - P(Y=0) - P(Y=1) - \cdots - P(Y=5) \\\\ P(Y>5) = \dfrac{5e^3-92}{5e^3} \approx \boxed{0.0839}[/tex]
If a function is defined by the equation y = 1/2x -3/2 , which equation defines the inverse of this function?
Answer:
B
Step-by-step explanation:
Rearrange the equation making x the subject
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )
2y = x - 3 ( add 3 to both sides )
2y + 3 = x
Change y back into terms of x with x being the inverse function, that is
y = 2x + 3 → B
which of the following is a correct tangent ratio for the figure?
A) tan(76degrees)= 24/8
B) tan (76degrees) = 8/24
C) tan (24degrees)= 76/8
D) tan (8degrees) = 24/76
Answer:
tan 76 = 24/8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 76 = 24/8
-3(4x+3)+4(6x+1)43
please solve the problem fully
Answer and Step-by-step explanation:
First, distribute the numbers outside of the parenthesis to the numbers on the inside.
-12x - 9 + 24x + 4 = 43
Combine like terms.
12x - 5 = 43
Add 5 to both sides.
12x = 48
Divide by 12 on both sides of the equation.
x = 3 <- This is the answer.
#teamtrees #PAW (Plant And Water)
Leave any questions you have, put it in the comments below :)
Write this as an algebraic expression:
You have $100 and make $25 a day
Answer:
25d + 100
Step-by-step explanation:
I will call "d" the days passed
25d + 100