Answer:
D
Step-by-step explanation:
to find a term in the sequence multiply the previous term by r , then
a₄ = - 8 , so
a₅ = - 8 × 0.5 = - 4
a₆ = - 4 × 0.5 = - 2
The sixth term of the sequence will be negative 2. Then the correct option is D.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The fourth term (a₄) is negative 8 and the common ratio is 0.5.
Then the sixth term will be
For n = 5, we have
a₅ = a₁ · (r)⁵⁻¹
a₅ = a₁ · (r)⁴
a₅ = a₁ · r³ · r
a₅ = a₄ · r
a₅ = -8 · 0.5
a₅ = -4
Then the sixth term of the sequence will be
a₆ = a₁ · (r)⁶⁻¹
a₆ = a₁ · (r)⁵
a₆ = a₁ · r⁴ · r
a₆ = a₅ · r
a₆ = -4 · 0.5
a₆ = -2
The sixth term of the sequence will be negative 2.
Then the correct option is D.
More about the geometric sequence link is given below.
https://brainly.com/question/11266123
#SPJ2
How many factors of 1000 can be divided by 20 without a remainder?
Answer: 6
Step-by-step explanation:
Δ MAL and Δ DLA are right triangles. If Δ MAL ≅ ΔDLA, then side DL is congruent to side MA, and ∠ MAL is congruent to ∠ DLA. Given ∠ M is 30 °, side DL is (2x + 10) cm, side MA is (3x – 2) cm, and side AL is (x + 5) cm, answer the following questions below:
What is the measurement of DL?
What is the measurement of AL?
What is the measurement of ∠ DLA?
What is the measurement of ∠ AEL?
Answer:
DL = 34 cm
AL = 17 cm
∠DLA = 60°
∠ADL = 30°
Step-by-step explanation:
Given:
DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MA
⇒ 2x + 10 = 3x - 2
⇒ 2x + 12 = 3x
⇒ 12 = x
Substituting found value of x into expressions for DL and AL:
DL = 2x + 10
= 2(12) + 10
= 34 cm
AL = x + 5
= 12 + 5
= 17 cm
The only way for ΔMAL to be a right triangle, with MA = 34 cm, AL = 17 cm and ∠M = 30° is if
MA is the hypotenuseAL is the shortest sideGiven:
∠M = ∠D = 30°∠MAL ≅ ∠DLASum of interior angles of a triangle is 180°
⇒ ∠DLA + 30° + 90° = 180°
⇒ ∠DLA + 120° = 180°
⇒ ∠DLA = 60°
As ∠M = ∠D = 30°, then ∠ADL = 30°
Answer:
DL = 34 cmAL = 17 cm∠DLA = 60°∠ADL = 30°Step-by-step explanation:
Given:
DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MAEquating DL and MA :
⇒ 2x + 10 = 3x - 2
⇒ 2x + 12 = 3x
⇒ x = 12
Finding DL and AL :
DL = 2(12) + 10 = 24 + 10 = 34 cmAL = 12 + 5 = 17 cmFinding ∠DLA :
∠M = ∠D = 30° (corresponding parts of congruent triangles)∠DLA + ∠D + 90° = 180°∠DLA + 30° = 90°∠DLA = 60°Finding ∠ADL :
∠ADL = ∠D∠ADL = 30°During which time period was the ANNUAL rate of increase of the speed the GREATEST
Answer:
1-2
Step-by-step explanation: because it went up in speed by 8 and the rest went up not even to 7
Based on the table, we can deduce that the annual rate of increase of the speed was the greatest: A. from year 1 to year 2.
What is speed?Speed can be defined as the distance covered by an object per unit of time. Thus, speed can be measured as meter per seconds.
Mathematically, speed is given by this formula;
[tex]Speed = \frac{distance}{time}[/tex]
Based on the table, we can deduce that the annual rate of increase of the speed was the greatest from year 1 to year 2.
Rate = 46 - 38 = 8.
Read more on speed here: brainly.com/question/10545161
The diagram shows a parallelogram.
The dotted line forms a right angle with side xy.
Use given information to find m Angle p.
Check the picture below.
I will give you more points if you give me the correct answer
Step-by-step explanation:
2000 <= (178 + S) + S
remember, they needed to collect at least 2000 cans.
S = the number of cans Shane collected.
the number of cans Abha collected is 178 more than S (the number of cans Shane collected).
and from there we get
2000 <= 178 + 2S
1822 <= 2S
911 <= S
so, the solution set is
S >= 911
and
Abha >= 1089
HELP ME PLS. brainy reward it is about hangers.
The Problem: 20/3x = 5(x+1/2) + 4/3
20/3 , 1/2 , 4/3 are fractions. Solve for x
Answer:
x=23/10
Step-by-step explanation:
the dash is a fraction
Please Help! Will Give Brainlest!
Answer:
[tex] \frac{ - \sqrt{3} }{2} [/tex]
Step-by-step explanation:
First, we find the coterminal angle of
[tex] \frac{ - 8\pi}{3} [/tex]
to do that, first, convert this into degrees.
[tex] \frac{ - 8\pi}{3} \times \frac{180}{\pi} = - 480[/tex]
Know, continously add 360 until we get our first positve number,
[tex] - 480 + 360 = - 120[/tex]
[tex] - 120 + 360 = 240[/tex]
So our coterminal angle is 240.
We need to know sin (240), the y value of sin (240) will gives us our answer.
That answer is
[tex] \frac{ - \sqrt{3} }{2} [/tex]
So far, 907907907 of the 122312231223 voters have agreed to the new amendment.
Based on this data, what is a reasonable estimate of the probability that the next voter does not agree to the new amendment?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{316}{907}
907
316
start fraction, 316, divided by, 907, end fraction
(Choice B)
B
\dfrac{907}{1223}
1223
907
start fraction, 907, divided by, 1223, end fraction
(Choice C)
C
\dfrac{1223}{2130}
2130
1223
start fraction, 1223, divided by, 2130, end fraction
(Choice D)
D
\dfrac{316}{1223}
1223
316
Answer:
I do not know the answer but I need to answer a question to finish logging into brainly
Answer: 316/1223
Step-by-step explanation: I checked on khan
Find the area of the rectangle or square 19 3 km and 38.4 km.
Answer:
Area of rectangle is 741.12km^2
Area of square is 1474.56km^2
Step-by-step explanation:
Formula for Area of a rectangle= length x breadth
Area = l x b = 19.3 km x 38.4 km (substitute the numbers)
Area = 741 km^2
OR
Area of square = length x length
Area = l x l = 38.4 x 38.4
Area = 1474.56 km^2
can someone help me with this question
The area of the triangle below is 17.39 square inches. What is the length of the base?
Height 3.7
Mathh question helppp
Answer:
60% test score
Step-by-step explanation:
When x is 6, y is 60
The point (6, - 5) is reflected across the y axis what is the new point
Answer:
(-6, -5)
Step-by-step explanation:
Reflection across the y-axis leaves the point on the same horizontal line, but with the sign of its x-coordinate changed.
(x, y) ⇒ (-x, y) . . . . . reflection across the y-axis
(6, -5) ⇒ (-6, -5)
The image point is (-6, -5).
true or false and explain or show your reasoning
10-⁵=-10⁵
(10²)-³=(10²)³
10³/10¹⁴=10-¹¹
Answer:
a. False : because 10^-5= 1/10^5 where as -10^5=-1 × 10^5
therefore 1/10^5 not equal to -1×10^5
b. False : because (10^2)^-3 = 100^-3=1/100^3 where as (10^2)^3 = 100^3=1000000 there fore 1/100^3 not equal to 1000000
c. True : because 10^3/10^14=10^(3-14)=10^-11 therefore both left side and right side of the equation are equal
Solve this system of equations.
3x + 4y = 36
y = -1/2x + 8
What is x?
Answer: Between 1 and 3.
Step-by-step explanation:
You have to Think about y too, y can be anything, but let's say y is 1. Then x should be 3
x = 4, y = 6
In this case, you can solve the equation by substitution.
3x + 4y = 36
We are given that y = -1/2x + 8
Plug in that value assigned to y.
3x + 4(-1/2x + 8) = 36
3x -2x + 32 = 36
x + 32 = 36
x = 4
Now, we can return back to y
y = -1/2x + 8
y = -1/2(4) + 8
y = -2 + 8
y = 6
I need help with this please extra points for the help.
Answer:
1/3
explanation:
there are total 6 colour boxes.among which 2 are redso probability:
2/61/3[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Number of Favorable outcomes (red)= 2
Total outcomes = 6
So, the probability of getting red is :
[tex]\qquad \sf \dashrightarrow \: \dfrac{2}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3} [/tex]
[tex]・ ．━━━━━━━†━━━━━━━━━．・[/tex]
An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?
A.
4 : 9
B.
8 : 27
C.
9 : 4
D.
27 : 8
|1/2- x/3|=5/6. Solve for x. There is (most likely) 2 answers
Answer:
Ans is -1
Step-by-step explanation:
Hope the picture will help you..
A cone has a volume 8pie cubic inches. And 6in height
What is the radius of the cone?
inches
Answer:
r=1.3in
Step-by-step
hope this helps:)
Brianna started watching a movie at 2:45 p.m. If the movie is 2 hours and 32 minutes long, when will it be over?
Answer:
It will be over at 5:17 pm
Step-by-step explanation:
2:45 +32 would be 3:17, we add 2 hours it would be 5:17
Answer:
5:17 pm
Step-by-step explanation:
Since Brianna started watching a movie at 2:45 p.m and the movie is 2 hours and 32 minutes long
Thus,
2:45 + 2 and 32 Minutes
2 + 2 = 4
45 + 32 = 77 minutes
1 Hour = 60 Minutes
Thus, 77 - 60 =17
Hence, 4 + 1 = 5
Thus, the movie will be over at 5:17 Pm
~Lenvy~
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers:
1) [tex]\sf \boxed{1} \ x^2 + \boxed{2} \ x -24[/tex]
2) [tex]\sf \boxed{2} \ x^2+ \boxed{-1} \ x-15[/tex]
3) [tex]\sf \boxed{6} \ x^2+\boxed{19} \ x+10[/tex]
4) [tex]\sf \boxed{2} \ x^2+\boxed{-11} \ x+5[/tex]
solving step wise:
1)
(x+6)(x-4)x² + 6(x) -4(x) -24x² + 2(x) - 242)
(2(x)+5)(x-3)2(x)² - 6(x)+5(x)-152(x)² - x - 153)
(3(x)+2)(2(x)+5)6(x)²+15(x)+4(x)+106(x)² + 19(x)+104)
(2(x)-1)(x-5)2(x)² -10(x)-x+52(x)² -11(x)+5#1
(x+6)(x-4)x(x-4)+6(x-4)x^2-4x+6x-24x^2+2x-24#2
(2x+5)(x-3)2x(x-3)+5(x-3)2x^2-6x+5x-152x^2-x-15#3
(3x+2)(2x+5)3x(2x+5)+2(2x+5)6x^2+15x+4x+106x^2+19x+10#4
(2x-1)(x-5)2x(x-5)-1(x-5)2x^2-10x-x+52x^2-11x+5Write an equation of the line passing through the points ( -5, -25 ),(0,0), and( 3,15)?
Please help me with this question
Answer:
Y=5X because the slope is 5 and the Y-intercept is 0
On a football field, the left and right tackles are lined up on the same yard line. A linebacker is 15 yards away from that yard line. The angles of the lines of sight of the tackles to the linebacker that are made with the yard line are shown in the diagram. Approximately how far apart are the left and right tackles?
Answer:
D. 39.3 yd
Step-by-step explanation:
Left tackle:
tan 35° = 15/x
x = 15/tan 35°
x = 21.42
Right tackle:
tan 40° = 15/x
x = 15/tan 40°
x = 17.88
x + y = 39.3
Answer: D. 39.3 yd
Find the value of x? thank you
Answer:
68
Step-by-step explanation:
A 5 sided shape total angles are equal to 540°
150 + 102 + 84 + x + 2x = 540
3x = 540 - 336
3x = 204
x = 68
F(x)=f(x-1)+2x+1 if f(2) =17 what’s f(1)
Answer:
f(1) = 12
Step-by-step explanation:
We know that f(x)=f(x-1)+2x+1
We are told that f(2) = 17
Use the first equation to calculate f(1). Since f(2) is known and f(x-1) will become f(1) after f(2-1) is simplified to f(1).
17 = f(2-1)+2*2+1
f(2-1) = 17 - 5
f(1) = 12
Type the correct answer in the box. round your answer to the nearest tenth. events m and n are independent events. in this scenario, if p(m) = 0.46 and p(m and n) = 0.138, then p(n) = .
The probability helps us to know the chances of an event occurring. The probability of event n occurring is 0.3.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
We know that for two independent events the probability of the two events occurring simultaneously is written as,
[tex]P(A \cap B) = P(A)\cdot P(B)[/tex]
Now, as we know the probability of event m occurring also we know the probability of both events occurring simultaneously, therefore, the probability of event n occurring can be written as,
[tex]P(A \cap B) = P(A)\cdot P(B)\\\\P(m \cap n) = P(m)\cdot P(n)\\\\0.138 = 0.46 \times P(n)\\\\P(n) = 0.3[/tex]
Hence, the probability of event n occurring is 0.3.
Learn more about Probability:
https://brainly.com/question/795909
PLEASE HURRY
Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0
please help me with this, I will give brainliest.
find the value of x round to the nearest 10th
[tex]\tan x = \dfrac{\text{Opposite}}{\text{Adjacent}}\\\\\implies \tan x = \dfrac{12}{6}\\\\\implies \tan x = 2\\\\\implies x = \tan^{-1} (2)=63.4^\circ[/tex]
Answer:
x ≈ 63.4°
Step-by-step explanation:
using the tangent ratio in the right triangle.
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then
x = [tex]tan^{-1}[/tex] ( 2) ≈ 63.4° ( to the nearest tenth )
A spinner has 4 equal sections. after spinning the spinner 15 times, the results are recorded in a table. which of the given statements is true? a. the theoretical probability of landing on violet is 1/3. b. the experimental probability of landing on red is 1/5. c. the experimental probability of landing on yellow is 1. d. the theoretical probability of landing on orange is 1/5.
Answer:
d
Step-by-step explanation:
Answer: The answer is B.) The experimental probability of landing on red is 1/5.
Step-by-step explanation:
Have a great day
can anyone help on this??
Answer:
For number 7 it was c which is the pink man
Step-by-step explanation:
Answer:
Runner A won the race, Runner C took a break for 4 seconds, it took Bob 10.5 seconds because his green line hits the top at the same line as 10.5 seconds