Answer:
The first six terms of the sequence [tex]f\left(n\right)=\left(-3\right)^n[/tex] are:
[tex]-3, 9, -27, 81, -243, 729[/tex]
Step-by-step explanation:
Given the sequence
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
Here [tex]n[/tex] represents any term number in the sequence
Determining the first term
substitute n = 1 in the sequence to determine the first term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]\:f\left(1\right)=\left(-3\right)^1[/tex]
[tex]f\left(1\right)=-3[/tex]
Thus, the first term is -3.
Determining the 2nd term
substitute n = 2 in the sequence to determine the 2nd term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]\:f\left(2\right)=\left(-3\right)^2[/tex]
[tex]\:f\left(2\right)=9[/tex]
Thus, the 2nd term is 9.
Determining the 3rd term
substitute n = 3 in the sequence to determine the 3rd term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]f\left(3\right)=\left(-3\right)^3[/tex]
[tex]f\left(3\right)=-27[/tex]
Thus, the 3rd term is -27.
Determining the 4th term
substitute n = 4 in the sequence to determine the 4th term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]f\left(4\right)=\left(-3\right)^4[/tex]
[tex]f\left(4\right)=81[/tex]
Thus, the 4th term is 81.
Determining the 5th term
substitute n = 5 in the sequence to determine the 5th term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]f\left(5\right)=\left(-3\right)^5[/tex]
[tex]f\left(5\right)=-243[/tex]
Thus, the 5th term is -243.
Determining the 6th term
substitute n = 6 in the sequence to determine the 6th term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]f\left(6\right)=\left(-3\right)^6[/tex]
[tex]f\left(6\right)=729[/tex]
Thus, the 6th term is 729
Therefore, the first six terms of the sequence [tex]f\left(n\right)=\left(-3\right)^n[/tex] are:
[tex]-3, 9, -27, 81, -243, 729[/tex]
$9.27 for 48 oz of taco meat
Answer:
Need more info to answer your question!
Step-by-step explanation:
Find the sum of the Arithmetic Series on the picture.
Answer:
Step-by-step explanation:
The sum of the sequence is the average of first and last terms times the number of terms.
(3n+4) for 3rd and 7th terms and the number of terms is 7-3+1=5 so
(13+25)5/2
38(5/2)
19(5)
95
A smartphone has a screen that has a width of x and a height that is 1.8 times the width. The outer dimensions of the phone are shown.
Write an expression for the portion of the phone that is not occupied by the screen. Assume that the phone is rectangular.
Answer: 4.8x+3
Step-by-step explanation:
The portion of the phone that is not occupied by the screen is 4.9x + 3 cm².
What is Surface Area?For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including sphere, cube, cuboid, cone, cylinder, etc. Each form has its own volume and surface area. Nevertheless, we can only estimate the area that two-dimensional figures like a square, circle, rectangle, triangle, etc. cover; there is no volume available.
As per the given data:
The width of the screen = x cm
Height of the screen = 1.9 times the width = 1.9x
Dimensions of the phone are given in the diagram.
The area of the screen = height × width
= 1.9x × x = 1.9x² cm²
The area of the phone = (1.9x + 3)(x + 1)
= 1.9x² + 1.9x + 3x + 3
= 1.9x² + 4.9x + 3 cm²
Area of the phone not occupied by screen:
= area of the phone - area of the screen
= 1.9x² + 4.9x + 3 - 1.9x²
= 4.9x + 3 cm²
Hence, the portion of the phone that is not occupied by the screen is 4.9x + 3 cm².
To learn more about surface area, click:
brainly.com/question/29298005
#SPJ2
(The given question is incomplete, the complete question is given below)
1/2(5x−8)=21 solve for x and brainliest
Answer:
x=10
Step-by-step explanation:
see picture for explanation
Please Help ASAP I’m confused
Answer:
D. not necessarily congruent
I got it right
for the expression 2x²+28+93/(x+6)³, which sum represents the correct form of the partial fraction decomposition?
Answer:
Option-3
Step-by-step explanation:
edge
The set of numbers 1, 7, 11 and 36 contains values for n. What value of n makes the equation below true? 4n + 8 = 36
A) 1
B) 7
C) 11
D) 36
Plssss hurryyy
Describe two methods that can be used to find the area of the composite figure.
Answer:
Reason 1: To find the area of a composite figure or other irregular-shaped figure, divide it into simple, nonoverlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.
Reason 2: To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.
find the product of 4.05 and 100
a.40.5
b.0.405
c.4050
d.405
Answer:
Hello! :) have a good day!
It would be D. 405
A sign along the road has these measurements. What is the area of the sign? 35 and 20
Answer: 700
Step-by-step explanation:
35 x 20 = 700
Answer:
350
Step-by-step explanation:
b
Factor the following using identities wherever necessary
1) x² + 8x
2) x2 - 4x
3) x² + x - 2
4) x2 - 9
5) x² + 22x + 121
6) x² - 8x + 16
Answer:
1. x(x+8)
2. x(x−4)
3. (x−1)(x+2)
4.(x+3)(x−3)
5. (x+11)(x+11)
6. (x−4)(x−4)
Step-by-step explanation:
For each expression, use the Distributive Property to write an equivalent expression.
Answer:
a) 4(r+2) = (r+2)4
b) (6-8)•r = r•(6-8)
c) 8r+12 = 12+8r
d) 6x-9y = 9y-6x
e) 6x-4y-2z = 2z-4y-6x
Step-by-step explanation:
It's the same equation but its backwards
Hope this helps
PLEASE HELP IVE BEEN STUCK ON THIS FOR SO LONG! ILL GIVE BRAINLIEST HELP ASAP PLEASE
Answer:
It would be A
Step-by-step explanation:
If you are minusing by 5 in the equation then that means that they graph has gone down by 5 units not up. and since 4x and is positive and -2x is negative the graph would flip over the years axis
BRAINLIEST!!!! PLEASE HELP QUICK!!! find m BDC
(9x + 5)
(12x - 19)
Answer: x=8 angle BDC=77
Step-by-step explanation:
9x-12x=-19-5
-3x=-24
x=8
12x(8)-19
=77
(9x + 5) and (12x - 19) are one angle split equally.
(9x + 5) = (12x - 19)
The value of m∠BDC is 65°
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles are equal to 180 degrees.
We have,
(9x + 5) and (12x - 19) are one angle split equally.
So,
9x + 5 = 12x - 19
We will solve for x.
9x + 5 = 12x - 19
Add 19 on both sides.
9x + 5 + 19 = 12x
Subtract 9x on both sides.
24 = 12x - 9x
24 = 3x
Divide both sides by 3.
24/3 = x
x = 7
Now,
The value of m∠BDC.
= 12x - 19
= 12 x 7 - 19
= 84 - 19
= 65°
Thus,
The value of m∠BDC is 65°
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
A cell phone provider offers a plan that costs $20 per month plus $0.20 per text message sent or received. A comparable plan costs
$30 per month but offers unlimited text messaging. Complete parts a. and b. below.
a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same.
text messages would have to be sent or received
b. If you send or receive an average of 200 text messages each month which plan would you choose and why?
Answer:
Step-by-step explanation:
a)
30=20+0.2m
10=0.2m
50=m
So after sending 20 messages the plans would cost the same.
b)
Obviously from the first part that the unlimited plan is cheaper when sending 200 messages, but the costs numerically would be.
Unlimited plan costs $30 while the other plan costs
20+0.2(200)=$60
please solve!! i need an 100 on this!
Answer:
cos 30=b/h=√3/2.......(1)
sin30=p/b=1/2.......(2)
we need b=?
h=2b/√3. h=2√2
now.....2b/√3=2√2
b=mBC=√6
What is the surface area, measured in square
centimeters, of the shape below? Do not include
units in your answer.
3 cm
6 cm
5 cm
Answer:
SA = 126 square cm
Step-by-step explanation:
SA = 2(l · w) + 2(h · w) + 2(l · h)
SA = 2(5 · 6) + 2(6 · 3) + 2(5 · 3)
SA = 60 + 36 + 30
SA = 126 sq cm
The surface area of the cuboid box is S = 126 cm²
What is the surface area of cuboid?
A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The total surface area of the cuboid is given by the formula
Surface Area = 2 ( LH + LW + HW )
where ,
Length of the cuboid = L
Width of the cuboid = W
Height of the cuboid = H
Given data ,
Let the surface area of cuboid be S
Length of the cuboid = L = 6 cm
Width of the cuboid = W = 5 cm
Height of the cuboid = H = 3 cm
On simplifying , we get
Surface Area = 2 ( LH + LW + HW )
S = 2 ( ( 6 x 5 ) + ( 6 x 3 ) + ( 5 x 3 ) )
S = 2 ( 30 + 18 + 15 )
S = 2 ( 63 )
S = 126 cm²
Hence , the surface area is S = 126 cm²
To learn more about surface area of cuboid click :
https://brainly.com/question/26403859
#SPJ2
find the value of y when x equals 0.
6x - 2y =14
Answer:
y = -7
Step-by-step explanation:
6(0) - 2y = 14
0 - 2y = 14
-2y = 14
(divide by -2) y = -7
Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 700 kW in a 12 m/s wind, how much power does it generate in a 6 m/s wind?
(The formula for P as a power function of v is P = a ⋅ v3.
A. 88 kW
B. 175 kW
C. 125 kW
D. 1050 kW
Answer:
New power = 88 Kw (Approx.)
Step-by-step explanation:
Given:
P = a(v³)
Old power p = 700 Kw
Old wind speed v = 12 m/s
Find:
New power when v = 6m/s
Computation:
P = a(v³)
700 = a(12³)
a = 0.4050 m²
New power = a(v³)
New power = (0.4050)(6³)
New power = 87.48
New power = 88 Kw (Approx.)
2(t+1)=10 t=?
please help
Answer:
13
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the points (2,4) and has the slope of 7
Answer:
y-4=7(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
y-4=7(x-2)
A man wants to determine the height of a light house. He measured
the angle at A and found that tan A = 3/4. What is the height of the
light house if A is 40 m from the base ?
Answer:
Step-by-step explanation:
height/A = tanA
height/40 = 3/4
height = 30 meters
Find the values of x and y. Write your answer in simplest form.
5
Х
150°
The value of x is
The value of y is
Write the equation of the line in slope-intercept form.
The equation of the line in slope-intercept form is
Answer:
y = 40x + 20
Step-by-step explanation:
Answer:
y = 40x + 20
Step-by-step explanation:
Slope Intercept Form :-
> y = mx + c
Here y Intercept is 20 as it passes through (0,20) . And the slope will be ,
> m = 40 .
Therefore Equation :-
> y = 40x + 20
When taking notes from a book, story, or other selection the source should be?
A. simple
B. dependable
C. easy to copy
Answer:
b
Step-by-step explanation:
Answer:
B. dependable
Step-by-step explanation:
well good luck
The maximum distance (in nautical miles) that a radio transmitter signal can be sent is represented by the expression 1.23h√
, where h
is the height (in feet) above the transmitter.
Estimate the maximum distance x
(in nautical miles) between the plane that is receiving the signal and the transmitter. Round your answer to the nearest tenth.
Answer:
182.4
this website deleted my paragraph... TLDR; 182.4 is the answer
which system of equations graphed below has a solution of (2,1)
Answer:
Sorry to say this... but neither of them have a solution of (2,1)
Step-by-step explanation:
The top one has a solution of (-2,-1). The one on the bottom has a solution of (-2,1). So... I'm not sure how this can help... but yeah...
[tex] \sqrt{8} [/tex]
[tex] \sqrt{8} =2 \sqrt{2} [/tex]
Explanation :[tex] \sqrt{8} [/tex]
[tex] = \sqrt{(4 \times 2)} [/tex]
[tex] = \sqrt{4} \times \sqrt{2} [/tex]
[tex] = 2 \sqrt{2} [/tex]
The island has 600 bikes and 900 people. What is the bike to person ratio
Answer:
2:3 (2 bikes for every 3 people)
Step-by-step explanation:
hope this helps
properties of isosceles triangle:)
i’ll give a brainiest
Answer:
2 sides re equal
and 2 base angles are equal
Mark it as the brainliest answer
please thanks