Answer:
V=1.7 hours H=2 hours
Step-by-step explanation:
Algebra Piecewise functions!!!
Can someone help with number 1? I got some of it but I don’t know what to do next!
Answer:
f(7) = 16
Step-by-step explanation:
f(7)
Let x = 7
We use the first part of the function since 7 > 4
3(7) -5
21 -5
16
f(7) = 16
One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
where t is
measured in years since 1990, and P is measured in years since 1990, and Pis measured in billions of people. Which of the following statements are true? Check all that apply.
Answer: C and D
Step-by-step explanation:
Using the logistic equation, it is found that options C and D are correct.
The logistic equation for population growth is given by:
[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]
[tex]A = \frac{K - P(0)}{P(0)}[/tex]
In which:
K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal. The population grows exponentially for a while, but as it gets closer to the carrying capacity, the growth slows down.For this problem, the equation is:
[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]
Which means that:
The carrying capacity is of 64 billion people, as [tex]K = 64[/tex].The growth rate is of 8% per year, but it is not steady.The initial population, in millions of people, is of [tex]P(0) = \frac{64}{1 + 11} = 5.3[/tex].Hence, options C and D are correct.
To learn more about the logistic equation, you can check https://brainly.com/question/25697660
6
с
2
3.
43
In the figure, which angle has the same measure as 22?
A. 21
B. 23
C. 24
D. 25
applying the distributive property to the expression, 24x+18y will produce which equivalent expression.
1. 6(4+3y)
2. 6(4x+3y)
3. 3xy(8+6)
4. 3(8x+6y)
Answer:
6(4x + 2y)
Step-by-step explanation:
24x = 2 * 2 * 2 * 3 * x
18y = 2 * 3* 3 * y
Common factors = 2 * 3 = 6
24x + 18y = (6*4x) + (6*2y) {6 is common in both terms}
= 6*(4x + 2y)
Maya is learning to drive, so this weekend she practiced driving 1/2 of a mile with her mother and another 3/4 of a mile with her father. How far did Maya drive in all?
Step-by-step explanation:
1/2 + 3/4
= 2/4 + 3/4
= 5/4
= 1 and 1/4 miles
SOMEONE HELL FAST ILL GIVE U BRAINLIST!!!
B. Jennifer needs new trim around the base boards.
How much trim does she need?
What assumptions do you make?
1+2+6+1+4+45+7474747448489
Answer:
7474747448548
Step-by-step explanation:
I hope this helps
Write an equation of the graph (shown below) in slope intercept form.
Answer:
Step-by-step explanation:
Okay! so first, let's specify the components of a slope intercept form equation.
We got y=mx+b as a general formula, where m is slope and b is the y intercept.
The graph gives us two points on the line at (0, 5) and (-6, 7)
To find slope, we can use this slope equation. I suggest you memorize it-it helps a lot with future problems!
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
Plugging in the points into the equation, we get 2/-6, or -1/3
we really don't need to do much work anymore, since the choices are given. There is only one choice left with -1/3 as slope m, which is D.
The y intercept can be found at wherever the line intersects the y axis. In this line, it crosses 5, which means b=5.
y=mx+b
y=-1/3x+5
I don’t understand how to solve this
Answer:
42.1
Step-by-step explanation:
The height of the main triangle is,
h = 47√3/2 (since it's an 30-60-90 triangle)
so to find x,
tan(44) = h/x
x = h/tan(44)
x = 42.1 (rounded to the nearest tenth)
Answered by GAUTHMATH
Shyam is 28 years old than his daughter, now product of their age is 204. find out the age of daughter.
Let daughter be x years old. Then, Shyam is (x + 28) years old.
So,
x(x + 28) = 204
=> x² + 28x = 204
=> x² + 28x - 204 = 0
=> x² - 6x + 34x - 204 = 0
=> x(x-6) + 34(x-6)
=> (x - 6) (x + 34) = 0
=> x - 6 = 0 or x + 34 = 0
=> x = 6 or x = -34
Since any age cannot be negative, daughter's age is 6 years old.
[tex]\frac{3}{2x}[/tex]-[tex]\frac{11}{5}[/tex]=[tex]\frac{7}{8}[/tex].[tex]\frac{64}{49}[/tex]
Answer:
x=35/78
Step-by-step explanation:
3/2x-11/5=(7/8)*(64/49)
3/2x-11/5=8/7
3/2x=8/7+11/5
3/2x=117/35
x=(35*3)/(2*117)
x=35/78
a(b^2+c^2+bc) + b(c^2+a^2+ca) + c(a^2+b^2+ab)
Answer:
(a-b)(b-c)(a-c)
Step-by-step explanation:
a^2(b - c) + b^2(c-a) + c^2(a - b)
= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b
=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b
= ab(a - b) - c(a^2 - b^2) +c^2(a - b)
=ab(a - b) -c(a - b)(a + b) +c^2(a - b)
=(a - b)(ab - c(a + b) +c^2)
=(a - b)(ab - cb -ca + c^2)
= (a - b)(b(a-c) -c(a-c))
=(a-b)(b-c)(a-c)
A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?
Answer:
34
Step-by-step explanation:
This is because you will have to simply divide 782 by 23.
782 / 23 =
34 :D
What is 3x^2-5x-13=0
Answer:
D. 58
Step-by-step explanation:
Given, 3x+8x+4x=6x+63
⇒15x=6x+63
⇒9x=63
⇒x=7
Then 5x+23=5(7)+23
=35+23
=58
Inverse proportion
it takes 3 hrs for two people to clean six identical rooms.
how long would it take 5 people to clean 20 of the same rooms at the same k rate
i know answer need explan.
Answer:
Hello,
4 hours
Step-by-step explanation:
Let say w the work clean one room.
h the number of hours worked
p the number of people who works
k is a constant
6w=k*h*p
3 h, 2 p==> 6w
6w=k*3*2 ==> k=w
5 p, 20 w ==>
20w=k*h*p
20w=w*h*5
20=h*5
h=20/5
h=4
It will take 4 hours.
Classify the following polynomials according to the number of terms. Combine any like terms first.
x^2 + 3x + 2x
x^2 + 5x = Binomial
x^3 + x + 3x^2 - x
x^3 + 3x^2 = Binomial
4x^3 + x + x^2 - 2x
4x^3 + x^2 - x = Trinomial
3x^4 + x - 3x^4 - x
0 = No Polynomial/Zero Polynomial
Hope this helps!
The first given polynomial is binomial.
The second given polynomial is binomial.
The third given polynomial is binomial.
The fourth given polynomial is monomial.
What is polynomial?Polynomials are algebraic expressions that consist of variables and coefficients.
What is monomial?A monomial is an algebraic expression that has only one term.
What is binomial?Binomial is an algebraic expression that contains two different terms connected by addition or subtraction.
What is trinomial give?A trinomial is an algebraic expression that has three non-zero terms.
According to the given question.
We have some polynomials.
If we take the polynomial:
[tex]x^{2} +3x+2x[/tex]
The above polynomial can be written as
[tex]x^{2} + 5x[/tex]
Since, the above polynomial has only two terms therefore it is a binomial.
[tex]x^{3} +x+3x^{2} -x = x^{3} +3x^{2}[/tex]
The above polynomial has only two terms. Hence, the given polynomial is binomial.
[tex]4x^{2} + x + x^{2} -2x\\=5x^{2} -x[/tex]
The given polynomial has only two terms therefore it is binomial.
[tex]3x^{4} + x - 3x^{4} -x\\= 0[/tex]
The given polynomial has only one term therefore it is monomial.
Find out more information about classification of polynomials here:
https://brainly.com/question/12677239
#SPJ3
What is the length of line segment SA
Answer:
slalalallalalalalalalalalallapapapqpqpq
Help please fast geometry surface area!
Answer:
SA=2πrh+2πr2=2·π·12·3+2·π·122≈282.7cm2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Data should be analyzed using each of the following except:
A. measures of central tendency
B. shape
C. population size
D. spread
A student must find the slope of a line that passes through the points (2.2) and (-1, 3). Which of the statements
below best applies to the sample mathematical work?
Given the points above, I plug these values into the formula y2 -x1/ x2-x1 which yields the expression -1-2/3-2 , which gives a slope of -3.
А. the formula for the slope of the ne is incorrect
B. the student failed to plug in the proper values into the slope formula
C the numeric calculation to find the slope is incorrect
D. the mathematical work shown is correct
Answer:
A
Step-by-step explanation:
the formula of the slope is (y2 - y1)/(x2 - x1)
slope = (3-2)/(-1-2) = 1/(-3) = -1/3
Melissa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of 59 and costs an additional 0.15 per mile driven. The second plan has an initial fee of 50 and costs an additional 0.20 per mile driven. For what amount of driving do the two plans cost the same? What is the cost when the two plans cost the same?
Answer:
Step-by-step explanation:
Let
x = cost per mile
y = Total cost
Plan 1:
y = 59 + 0.15x
Plan 2:
y = 50 + 0.20x
Equate the total cost of the two plans
59 + 0.15x = 50 + 0.20x
59 - 50 = 0.20x - 0.15x
9 = 0.05x
x = 9/0.05
= 180
x = 180 miles
y = 50 + 0.20x
= 50 + 0.20(180)
= 50 + 36
= 86
y = 86
The perimeter of a rectangle is given by the formula P=2w+2l,where w is the width and l is the length.Rearrange the formula for the length ( ).
Answer:
l = (p - 2w)/2
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! Determine the Value of K in the diagram ( secant lines to circles).
Answer:
k = 10Step-by-step explanation:
According to intersecting secants theorem we have the following equation:
3x*(3x + 5x) = 2x*(2x + kx)Solve it for k:
3x*8x = 4x² + 2kx²24x² = (4 + 2k)x²24 = 4 + 2k20 = 2kk = 10Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/4C. 2/3 D. 1 E. -1 F.3/2
Hi
5x²-x-4 = 0
Δ= (-1)² - 4*5*(-4)
Δ = 1 -4*-20
Δ = 1 +80
Δ = 81
√Δ= 9
as Δ ≥ 0 , so 2 solutions exist in R
S1 is : ( 1+9) /2*5 = 10/10 = 1
s2 = (1 -9)/2*5 = -8/10 = -4*2 /2*5 = -4/5
Corrects answers are A and D
Answer:
A. -4/5 And D. 1
Step-by-step explanation:
i just got it right
Evelyn earned a score of 86 on Exam A that had a mean of 71 and a standard deviation of 20. She is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Evelyn score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.
Answer:
580
Step-by-step explanation:
Assuming that the answer should be in terms of z scores, we can calculate the z score as
z = (observed value - mean)/(standard deviation)
For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is
z = (86-71)/20 = 0.75
Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have
0.75 = (observed score - 550)/40
multiply both sides by 40 to remove a denominator
0.75 * 40 = observed score - 550
add 550 to both sides to isolate the observed score
0.75 * 40 + 550 = observed score = 580
Two sides of a right triangle measure 5 inches and 6 nches, and the third side measures 61 inches.
The length of the third side is about
inches _ . The perimeter of the triangle is about
inches. __
Answer:
The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches
Step-by-step explanation:
**URGENT PLEASE HELP**
Find g(x), where g(x) is the translation 2 units right and 13 units down of f(x) = -2x + 5.
Answer:
g(x)=x+9
Step-by-step explanation:
When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x
therefore, g(x)=x+9
Answer:
g(x)=x-8
Step-by-step explanation:
-2+2 = 0, so g(x) = x
5-13 = -8
please solve it
find the value of x
Answer:
The measure of angle x is 25 degrees.
Step-by-step explanation:
Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."
convert 123000000 milligram into gram
Answer:
123,000 grams
Step-by-step explanation:
1000 mg is equivalent to 1 gram.
Answer:
123000g
Step-by-step explanation:
1000mg=1g
123000000mg= xgrams
cross multiplying,
you'll have
[tex] \frac{123000000}{1000} = 123000[/tex]
