Answer: [tex]184,724.153[/tex]
Step-by-step explanation:
Given
In 1990, there were 1200 cell phone subscriber in small town of stephenville
It is increasing by 75% per year after 1990
In year 1991 it is
[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]
In year 1992 it is
[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]
So, it is increasing as [tex]1200(1.75)^x[/tex]
where [tex]x=[/tex]no of years spent
After 9 years, it is
[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]
800 ÷ 30
SHEEEEEEEEEEEEEEEESH
Answer:
800 ÷ 30 = 26.66666666666667 or 26.
Step-by-step explanation:
Write the first five terms of the geometric sequence, given a1= -16 and r= -1/4
Answer: -16, 4, -1, 1/4,?
Step-by-step explanation: the nth term of a GP is given by Un= ar^n-1
Where n= the term.
So substituting the values for each term will give you the answer above. I don't know if it's tiredness or what but my fifth term gives me the same value as my fourth term.
Are the following triangles similar? Explain.
Answer:
yes
the sides bear a similar proportion to each other
CE = 1.67BC
CD = 1.67AC
Step-by-step explanation:
Two triangles are similar if the corresponding angels are congruent to each other and if the sides of the triangle are in proportion to each other
to determine if the triangles are similar, determine if the sides are in proportion to each other
CE = 10
BC = 6
10 / 6 = 1.67
DC = 15
AC = 9
15/9 = 1.67
The sides of the triangle are in proportion to each other, thus they are similar
YOU CAN ANSWER BOTH IF YOU WOULD LIKE BUT I ONLY NEED THE FIRST ONE PLEASE
If 2g - 4 = 6, then g =
Answer:
Then g = 5.
Step-by-step explanation:
The only number that fits in g is 5.
2*5 - 4 = 6
So 2 x 5 = 10.
Which the equation is now 10 - 4 = 6.
So the answer is 5.
Answer:
g = 5
Step-by-step explanation:
2g - 4 = 6
2g - 4 + 4 = 6 + 4
2g = 10
2g ÷ 2 = 10 ÷ 2
g = 5
Point D is located at (-13, -1). Point Q is located at (0, 12). Determine the slope-intercept equation of line DQ.
Answer:
y=x+12
Step-by-step explanation:
m (slope)=1
y-intercept=12
hope this helped have a great day :)
6x - 4y = 38
x + y = 5
Answer: y= -4/5 and x= 29/5
Step-by-step explanation:
From eqn2 , x= 5-y. Thus substituting in eqn1 will give
6(5-y)-4y=38
30-6y-4y=38
30-10y=38
-10y=38-30
-10y= 8
y=8/-10---> y= -4/5
Substituting y in eqn2 we have
x+(-4/5)=5
x=5+4/5
x=29/5
given the diagram below, explain how you would determine the opposite, adjacent, and hypotenuse side from the given 35° angle. (HELP PLEASE!!)
Answer:
opposite=8.402402490459 ,adjacent is already given=12, hypotenuse=14.64929507
Step-by-step explanation:
to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.
If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.
Hungry Harry is a giant ogre with an appetite that fluctuates throughout the day. H(t) models the weight of sheep (in kg) that Harry would like to swallow t hours after he wakes up. Here, t is entered in radians. H(t)=12sin(2pi/24t) + 15 What is the second time after Harry wakes up that he feels like consuming 17kg of sheep?
The second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours
How to determine the time?The function is given as:
H(t) = 12sin(2π/24t) + 15
When the weight is 17kg.
It means that:
H(t) = 17
So, we have:
H(t) = 12sin(2π/24t) + 15 and H(t) = 17
Next, we solve for t using a graphing calculator
From the graph of h(t), we have:
t = 0.64, 11.36, 24.64...... when h(t) = 17
The second time in the above list is
t = 11.36
Hence, the second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours
Read more about sine function at:
https://brainly.com/question/9565966
#SPJ1
simplify the expression (4x^9 y^3) (-5x^6) (-3y^2)
Answer:
60x^15y^5
Step-by-step explanation:
60x to the power of 15 times y to the power of 5
Hope this helps!
Simplify:
[tex]\sqrt[3]{\frac{x^2}{8y^{-1}} }[/tex]
Thank you!
Answer:
hope this will help you more
good luck...
Answer:
[tex] \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]
Answer C is correct
Step-by-step explanation:
[tex] \sqrt[3]{ \frac{ {x}^{2} }{8 {y}^{ - 1} } } \\ \frac{ {x}^{2 \times \frac{1}{3} } \times {y}^{1 \times \frac{1}{3} } }{ \sqrt[3]{8} } \\ = \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]
Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most
Answer:
The answer is Deserea.
Step-by-step explanation:
Dont worry, this is simple :)
If you have a dozen cookies, that means you have 12 cookies!
And 1/4 of 12 is simply 12 divided by 4, which equeals 3, so Carla ate 3 cookies.
And Deserea ate ½ of the cookies, which is 12 divided by 2, which is 6! So Deserea ate 6 cookies.
6 is greater than 3. So Deserea ate more Cookies!
Hope this helps!
GIVING BRAINLIST! $ CHOSE ANY!
Answer:
36in for the 1st one
Step-by-step explanation:
Answer:
36 in- mild
Hope this helps!!
Find the value of x. (I'll mark brainlest!!!)
Answer:
The answer is B
Step-by-step explanation:
Answer:
you can use law of sines
Plug in the values (lol sorry i dont have time)
x / sin(angle) = y / sin(angle)
Where x and y are separate sides.
Hope this Helps! :3
BC is tanget to the circle centered at A with a radius of 3. What is the length of CD?
Answer:
The length of the radius of circle is 16.25 cm
Step-by-step explanation:
Answer:
The length of the radius of circle is 16.25 cm
Step-by-step explanation:
we know that
If CD is tangent to circle A at point D
then
the segment CD is perpendicular to the radius AD
and
ACD is a right triangle
so
Applying the Pythagorean Theorem
we have
substitute
solve for r
Find the number of degrees in each rotation shown below.
Answer:
5
Step-by-step explanation:
I don't have a clue! I WILL MARE BRAINLIST
Answer:
r= 5
Step-by-step explanation:
because 5^3 = 125 or 5*5*5 = 125
The hypotenuse of a right triangle is 30 inches. With one of the sides being 18 inches. Find the missing side length. Round to the nearest hundredth if necessary
Answer:
24 inches
Step-by-step explanation:
We can find different sides of a right angle triangle using Pythagorean theorem: [tex]c^2 = a^2+b^2[/tex], where [tex]c[/tex] is the hypotenuse and [tex]a[/tex] and [tex]b[/tex] are the other sides.
Therefore, we can re-arrange the equation for one of the other sides.
[tex]c^2-b^2=a^2[/tex].
Since we know these two sides all we have to do is put them into the equation:
[tex](30)^2-(18)^2=a^2[/tex]
[tex]a^2 = 576\\a= 24[/tex]
Therefore, the missing side is 24 inches.
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70°
Step-by-step explanation:
Step 1
Sum of angles on a straight line = 180°
Hence:
180° - 101°
= 79°
Sum of interior angles in a triangle = 180°
Hence
m∠1 = 180° - (79 ° + 31°)
m∠1 = 70°
PLS HELP ME WITH THIS QUESTION!!
Answer:
a
Step-by-step explanation:
4x − 4
10x − 20
×
15x + 15
3x − 3
×
6x − 12
20x + 20.
Answer:
what is the question dudd
The amount that a craftsman will charge for an item depends on the
amount that he spends on materials, m, and is determined by the
equation a = 2.5 + 2.5m, where a is the amount charged for each
item. What is the value of the dependent variable, if the value of the
independent variable is 3?
Answer:
$10
Step-by-step explanation:
m is the independent variable, and a the dependent one.
If m = 3, a = 2.5 + 2.5(3) = 10
The craftsman charges $10 when m = 3.
What is the volume of a sphere with a diameter of 9.3 m, rounded to the nearest
tenth of a cubic meter?
The volume of a sphere with a diameter of 9.3 is 521.
what is Volume of sphere?The amount of space occupied by a three-dimensional figure as measured in cubic units.
Volume of sphere is = 4/3*π*r³
d=9.3, radius= 9.3/2
Volume of sphere = 4/3*22/7*4.65*4.65*4.65*4.65
= 421.16 m³
= 521
Learn more about volume of cylinder here:
brainly.com/question/16134180
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Find the value of x. Round to the
nearest tenth.
X
12
x = [?]
Answer:
63.4
Step-by-step explanation:
Tan = opposite/adjacent
Tan x = tan-1
Tan-1 (6/12)
=63.43494882
63.4
Below. What is m∠1?
m∠1 =
Answer:
m<1 = 70
Step-by-step explanation:
I'll have m<1 = x:
Exterior angles thm:
x + 31 = 101
x = 101 - 31
x = 70
please help me I’ll give brainliest if correct
Answer:
I would say the first one
Step-by-step explanation:
The others don't make any sense, and that is the only one that mentions 2 x and 5 1s.
Answer:
number 4
Step-by-step explanation:
count onn me
Is a trapezoid always a quadrilateral?
yes
no
Answer:
The correct answer is that all trapezoids are quadrilaterals. ... Trapezoids are four-sided polygons, so they are all quadrilaterals.
Step-by-step explanation:
hope it helped ( ◜‿◝ )♡
PLEASE PLEASE PLEASE HELP ME!!!!!!!!!
Choose the algebraic description that maps the image ΔXYZ onto ΔX′Y′Z′. Question options: A)
(x, y) → (x + 6, y – 1)
B)
(x, y) → (x – 5, y – 1)
C)
(x, y) → (x + 5, y – 1)
D)
(x, y) → (x – 6, y – 1)
Answer:
D
Step-by-step explanation:
To get from ΔXYZ (the figure on the right) to ΔX′Y′Z′ (the figure on the left), each point is translated left 6 units and down 1.
Movement left and right is related to the x-axis. So moving 6 units left (in a negative direction) is x - 6.
Movement up and down is related to the y-axis. So going down (in the negative direction) is y - 1.
It takes 8 workers 12 days to build a wall work out how many days it would take 3 workers to complete the same job
Please can someone answer and explain??
Answer: 24 days
Step-by-step explanation
h every worker, 4 workers will still take 12 days. If the work is to shake every other worker's hand, 4 workers will only take 37 x 12 days.
An object moves in simple harmonic motion with amplitude 15m and period 4 minutes. At time t=0 minutes, its displacement from rest is , and initially it moves in a negative direction. Give the equation modeling the displacement d as a function of time t