The number of subscriber is increasing by factor 1,12 every month. The number of subscribers m months since the beginning of the year can expressed by the growth model equation S(m) = 150 . e^(0.12m)
The problem can be solved using exponential growth model.
1) The relation between growth rate and doubling time is given by:
doubling time = 70 / growth rate
In this case, doubling time = 6 months.
Hence,
growth rate = 70/6 = 11.67% = 0.1167 ≈ 0.12
Growth factor is defined as:
Growth factor = 1 + growth rate
= 1 + 0.12 = 1,12
2) The growth model of the number of subscribers is given by:
S(m) = So . e^(r.m)
Where:
S(m) = number of subscriber after m months
So= initial number of subscriber
r = growth rate
t = time period
Substitute So = 150 and r = 0.12
S(m) = 150 . e^(0.12m)
Learn more about growth model here:
https://brainly.com/question/16407547
#SPJ4
I need help with this question please
The average rate of change is the ratio of the difference between the y coordinates of two points to the x coordinate of the same point.
It can be found by using two points on the graph and substitute into the formula: (y₀ - y₁) / (x₀ - x₁)
The square brackets [] is used to mean the end points as shown is inclusive
What is average rate of change in quadratic equation?A quadratic equation is a polynomial of degree two
The average rate of change here is not constant and is usually specified by the two points to which it is measured
For instance using points (-3, 0) and (0, -1) we have
= (y₀ - y₁) / (x₀ - x₁)
= (-1 - 0) / (0 - (-3))
= -1/3
Learn more about average rate of change at:
https://brainly.com/question/29989951
#SPJ1
Evaluate the radical.
(Look at photo)
Enter your answer in the box.
Answer:
the answer of
[tex] \sqrt[3]{216} = 6[/tex]
is 6
Step-by-step explanation:
6^3=216
an asphalt parking lot is in the shape of a trapezoid if it costs 1.75 per square yard to seal an asphalt surface find the cost to seal the parking lot
Answer:
The answer would be $1995
Step-by-step explanation:
Trust me
Each boy in a class has 11 pockets and each girl in the class has 13 pockets. How many boys and how many girls are in this class if all 21 students have a total of 251 pockets? Please answer ASAP and please no links.
Answer:10 girls and 11 boys
Step-by-step explanation:
pleaseeee helppp meee!!!
Answer:
x=800
Step-by-step explanation:
first you gonna take 3×x= 3x
then
3×200= 600
(3x+600)=3000
3x=3000-600
3x=2400
3x÷3=2400÷3
x=800
What is the missing reason for line 2 in this proof?
Definition of a rectangle
Explanation:
A rectangle has two sets of parallel sides, and those opposite sides are the same length. This is simply the definition of what it means to be a rectangle. Because ABCD is a rectangle, we have these two pairs of congruent opposite sides:
AB = CDAD = BCHow tall is a building that casts a 78-ft shadow when the angle of elevation of the sun is 30 degrees?
Answer: [tex]45.03\ ft[/tex]
Step-by-step explanation:
Given
The length of the shadow is 78 ft
the angle of elevation is [tex]\theta =30^{\circ}[/tex]
Suppose the height of the building is [tex]h[/tex]
From the figure, we can write
[tex]\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft[/tex]
The height of the building is 45.03 ft
Mattie is twice as old as Pat. Jon is twice as old as Mattie. In 4 years the sum of their ages will be 61. How old is each person?
Answer:
Let's mark Pat's age is x. Then Mattie's age is 2x and Jon's age is 4x.
So (x + 4) + (2x + 4) + (4x + 4) = 61.
7x + 12 = 61 => 7x = 49 => x = 7.
So the answer is
Pat = 7
Mattie = 14
Jon = 28
The ages of Pat, Mattie, and Jon are as follows: 7 years, 14 years & 28 years.
If we take Pat's age as = 'x' years,
so, Mattie's age will be = '2x' years.
and then, Jon would be = 2(2x)
= '4x' years.
Now, the sum of their ages after 4 years =
=> (x+4) + (2x+4) + (4x+4) = 61
=> 7x+12 = 61
=> 7x= 61-12
=> 7x= 49
=> x= 49/7
=> x = 7
Therefore, Pat's age is = 7 years.
Mattie's age is = 14 years (2×7).
Jon's age is = 28 years (4×7).
To learn more about the Sum of ages, refer to:
https://brainly.com/question/11282363
What is a 120 angle called?
An angle that measures 120 degrees is called an obtuse angle.
An obtuse angle is defined as an angle that measures greater than 90 degrees but less than 180 degrees. It is formed by the intersection of two lines that are not collinear, that is, they do not lie on the same line, and the angle is greater than a right angle but less than a straight angle.
An obtuse angle is represented by an arc with a curved arrow on one end, pointing in the direction of the other end.
It's important to keep in mind that the term obtuse angle is just a classification based on the measure of the angle, which is greater than 90 degrees but less than 180 degrees, and it's not a specific angle measure, it could be any angle that is in that range.
To know more on angles
https://brainly.com/question/15815174
#SPJ4
Find the area of the shaded region in the above sided figure. Take = 3.14
Step-by-step explanation:
The Radius of the larger semi circle = [tex]\frac{12}{2}[/tex] = [tex]6[/tex][tex]cm[/tex]
Area of the 2 larger semi Circles = [tex]\frac{\pi r^{2} }{2}[/tex][tex]X2[/tex]
= [tex]\frac{3.14X(6)^{2} }{2} X 2[/tex]
= [tex]\frac{113.04}{2} X2[/tex]
= [tex]113.04[/tex] [tex]cm^{2}[/tex]
Radius of the smaller semi circle = [tex]\frac{5}{2} = 2.5cm[/tex]
Area of the smaller semi circle = [tex]\frac{\pi r^{2} }{2}[/tex][tex]X2[/tex]
= [tex]\frac{3,14X(2.5)^{2} }{2} X 2[/tex]
= [tex]196.25[/tex][tex]cm^{2}[/tex]
Combined Area = [tex]113.04 + 196.25[/tex]
= [tex]309 . 29cm^{2}[/tex]
If x is equal to 48 and y is equal to 12 then what is the value of x-4y?
Answer:
0
Step-by-step explanation:
48 - 4(12)
48 - 48 = 0
Answer:
The value of x - 4y would be 0.
Step-by-step explanation:
Since x is equivalent to 48, and y is equivalent to 12, you need to replace x and y with those values in order to solve the expression. [tex]x-4y[/tex] = [tex]48 - 4 * 12[/tex] = [tex]48 - 48[/tex] = 0, so that is the correct answer.
A circle is inscribed in quadrilateral , tangent to at and to at . Given that , , , and , find the square of the radius of the circle.
The square of the radius of the given circle is [tex]$OP^2 = 703$[/tex]
What is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus. Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties.
We can use the concept of the power of a point, which states that the square of the distance of a point from a line is equal to the product of the distances of the point from the two tangents to the line that are drawn from the point.
Let [tex]$O$[/tex] be the center of the inscribed circle.
The power of point O with respect to AB and CD is [tex]$(OPOQ) = (1937) = 703$[/tex]
Since the Circle is tangent to AB and CD at P and Q respectively, so [tex]$OP = OQ$[/tex]
So, [tex]$OP^2 = 703$[/tex]
Hence, the square of the radius of the circle is [tex]$OP^2 = 703$[/tex]
To know more about quadrilateral visit:
brainly.com/question/29934291
#SPJ4
Complete question is: A circle is inscribed in quadrilateral [tex]$A B C D$[/tex], tangent to [tex]$\overline{A B}$[/tex] at [tex]$P$[/tex] and to [tex]$\overline{C D}$[/tex] at [tex]$Q$[/tex]. Given that [tex]$A P=19, P B=26, C Q=37$[/tex], and [tex]$Q D=23$[/tex], find the square of the radius of the circle.
Some drawbacks to renting can be: (Check all that apply) A. You build equity in a house B. Improvements made benefit the landlord. C. You have to ask permission to change things.
Answer:
A, B, C
Step-by-step explanation:
Is it a perfect square trinomial X² 10x 25?
Yes, it is a perfect square trinomial.
What is perfect squares?Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."
The equation X² + 10X + 25 can be factored into (X + 5)²,
which is a perfect square trinomial. In general, a perfect square trinomial is any polynomial of the form A² + 2AB + B² where A and B are constants or variables.
This is because such a polynomial can be factored into (A + B)².
To know more about perfect squares click-
https://brainly.com/question/27307830
#SPJ4
helppppppppppppp pleaseeeee
Answer:
e = 54
f = 20
d = 106
Step-by-step explanation:
Opposite angles are the same. Also, straight lines always equal 180 degrees.
Hope that this helps!
select all the Expressions that are rational numbers.
Can someone help me find the answer please? I have to finish this very soon.
Answer:
The first answer to the fourth answer is rational numbers.
Step-by-step explanation:
Rational numbers are usually expressed as fractions or decimals, but rational numbers are never whole numbers. Hope this helps!
Jason and Marie both travel 300 miles. Jason drove at an average speed of 10 miles per hour faster than Marie and made the trip in one hour less time. Find the average speeds of both cars.
Answer:
jason: 60mph
marie: 50mph
Step-by-step explanation:
let jason drive at x miles per hour
let marie drive at x-10 miles per hour
let jason drive for y hours
let marie drive for y+1 hours
distance = speed * time
for jason:
300 = x * y
for marie:
300 = (x-10) * (y+1) = x*y + x - 10y -10
300 = x*y
divide both sides by x to solve for y
300/x = y
plug this into the second equation
300 = (x-10) * (300/x+1) = 300 -3000/x +x -10
300 = 300 -3000/x +x -10
subtract 300 from both sides
0 = -3000/x + x - 10
multiply both sides by x to get rid of the denominator
0 = x^2 -10x -3000
factor
0 = x^2 - 60x +50x -3000
0 = x(x-60) + 50(x-60) = (x+50)(x-60)
x = 60 or -50
x cannot be negative so x = 60mph
marie = 60-10 = 50mph
Aaron has $20. He buys 2 Cokes that each cost $1.50. He also buys a sandwich for $5.50 and a bag of chips that costs $2.25. After Aaron pays for his lunch, how much money does he have left?
Answer:
he has 10.75 left over :)
Answer:
Step-by-step explanation:
20-3-5.50-2.25= $9.25
HELP HELP HELP I WILL BRAINLIEST U
Answer:
2x+3y-(-4x+3y)=6-12
2x+3y+4x-3y. =-6
6x. = -6
X=-1
no
Answer:
No
Step-by-step explanation:
So, lets go over what we know:
Our x and y values are (0,2)
This means:
x=0
y=2
Lets plug these in for each equations:
2x+3y=6
=
2(0)+3(2)=6
=
0+6=6
=
6=6
So thie first equation is correct.
But we dont know if the second one will check out yet!
Lets plug our values in once more, only on the second equation instead of the first:
-4x+3y=12
=
-4(0)+3(2)=12
0+6=12
6=12
Uh oh...Thats not right.
So this means that (0,2) is not a solution to both equations.
Answer:
No
Hope this helps! :D
Student perform one trial of a cientific experiment if the reult of that trial do not upport the prediction what hould the tudent do next?
If the student perform one trial of scientific experiment , and the result of that trial do not support the prediction , then the student should repeat the experiment , modify the experiment and can use alternative Method .
If in the Scientific Experiment the result does not support the prediction of the student in one trial , then the student can :
(i) Modify the Experiment :
The students can modify scientific experiment in other way and try again. For Example, they student change variables being tested or methods used to collect data.
(ii) Use Alternative Explanations :
The students can use alternative explanations for results. It may be possible that the prediction was correct, but there were other factors that may influence outcome of experiment.
(iii) Repeat the Experiment :
The student can repeat the experiment by the same procedures to see if he gets same results and if results are consistent, it can concluded that the prediction was incorrect .
The given question is incomplete , the complete question is
Student perform one trial of a scientific experiment if the result of that trial do not support the prediction what should the student do next ?
Learn more about Scientific Experiment here
https://brainly.com/question/28531991
#SPJ4
Line C passes through the points (-3,-6) and (-1,-12). What is the slope of the line perpendicular to the line C
Answer:
The slope of the line perpendicular to the line C is 1/3.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-12-(-6))/(-1-(-3))
m=(-12+6)/(-1+3)
m=-6/2
m=-3
perpendicular lines have negative reciprocal slopes.
Identify whether this angle is acute, obtuse, right, or straight.
an angle that measures about one hundred thirty seven degrees
Acute
Obtuse
Right
Straight
Gcse foundation
Help pls.
Answer:
In right angle triangle ,hypotenuse is equal to sum of two other sides.so,
(h)^2=(p)^2+(b)^2
(8)^2=(3)^2+(x)^2
64=9+x^2
64-9=x^2
55=x^2
[tex]\sqrt{55}[/tex]=x
7.4=x
Step-by-step explanation:
In □PQRS side PQ∥ side RS. If m∠P = 108degree
and m∠R = 53degree
, then find m∠Q and m∠S.
In □PQRS side PQ∥ side RS. If m∠P = 108degree
and m∠R = 53degree
To Find :-m∠Q and m∠S.
Solution :-According to angle sum property
P∠Q=180−∠P
∠Q=180−108
[tex]\boxed{\sf{\angle Q = 72°}}[/tex]
For angle S
∠S=180−∠R
∠S=180−53
[tex]\boxed{\sf {\angle S = 127°}}[/tex]
[tex]\maltese\bold {lucky75} \maltese[/tex]
Answer:
Step-by-step explanation:
In □PQRS side PQ∥ side RS
so m∠P and m∠S are interior angle pair which add to 180degree
given m∠P = 108degree
m∠S = 180 - 108 = 72degree
similarly m∠R and m∠Qare interior angle pair which add to 180degree
given m∠R = 53degree
m∠S = 180 - 53 = 127degree
 If two parallel lines are cut by non-perpendicular transversal, which type of angles are NOT congruent? (geometry)
Answer:
[tex]{\huge{\underbrace{\overbrace{\color{red}{Answer...}}}}} \\ \\ [/tex]
[tex]\small\boxed{\mathfrak{\underline{Interior \: angles \: are \: not \: congruent}}} \\ \\ {\huge{\underbrace{\overbrace{\color{purple}{hope \: it \: helps... | \: | }}}}} \\ \\ [/tex]
If two parallel lines are cut by non-perpendicular transversal, then the interior alternate angles are NOT congruent.
What is the alternate angles?By the Property of the alternate angles states, if two parallel lines are cut by a transversal, then the alternate angles are congruent. Two angles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
The Exterior angle is an measure of rotation between one extended side
Let assume ∠XWY and ∠ZYW represent the interior angles between the parallel lines and the transversal.
From the figure attached, we can see that ∠XWY ≅ ∠ZYW
By this property, Both the Lines are the parallel lines intersected by a transversal.
Therefore, the interior alternate angles ∠XWY and ∠ZYW will be congruent.
Hence, If two parallel lines are cut by non-perpendicular transversal, then the interior alternate angles are NOT congruent.
Learn more about interior and exterior angles here:
https://brainly.com/question/14173422
#SPJ5
L)
express the given in terms os sin x or cos x
sin ( 4pi - x )
how
The value of sin(4π-x) is -sinx
What are trigonometric functions?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Given that, express the given in terms of sinx or cosx sin (4π-x)
sin(4π-x) = sin(2π+2π-x)
We know, that, sin(a+b) = sina·cosb+sinb·cosa
Here, a = 2π and b = 2π-x
Therefore,
sin(2π+2π-x) = sin2πcos(2π-x)+sin(2π-x)cos2π
Now, sin2π = 0 and cos(2π) = 1
Therefore,
sin2πcos(2π-x)+sin(2π-x)cos2π
= sin(2π-x)
As we know that, sin(2π-x) = -sinx
Hence, sin(4π-x) = -sinx
For more references on trigonometric functions, click;
https://brainly.com/question/6904750
#SPJ1
Someone please please help me ASAP
No links or files
I will give Brainly
Answer:
1) 6
2) 9
3) improper.
Step-by-step explanation:
I hope this helps!
Answer:
Q2) 9
explanation:6/1 / 2/3
Applying the fractions formula for division,
6 x 3
1 x 2
18/2 simplyfy 9
Q3)improper fraction
Which fractions are closer to 0 than 1? Check all that apply.
Answer:
b and d are closer to 0 than 1 mark me brainliest
Step-by-step explanation:
Answer:
B. and D the rest are half or closer to 1
hope this helps
have a good day :)
Step-by-step explanation:
A a) Is (x + 4) a factor of (x^ 2 +9x+20)? In other words , does x + 4 divide evenly into x ^ 2 + 9x + 20 ?
Answer:
Yes
Step-by-step explanation:
the factors of (x^ 2 +9x+20) are (x+4)(x+5)
Solve the algebraic fractions: 3 - x+1/2x^2+9x-5 - 2x-1/x+5
Answer:
The answers final
Simplify the expression
-2+6x+1/2x^2
Factor the expression
1/2x(-4+12x+x^2)
Step-by-step explanation:
I hope it will help you :)