Answer:
The nth term of the geometric sequence is is 32805
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]
Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio
We are given the fourth term of this sequence
[tex]a_4 = -135[/tex]
The common ratio is
[tex]r = -3[/tex]
Once we find the 1st term then we can find any other term.
[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]
So the ninth term of this geometric sequence is
[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]
Therefore, the nth term of the geometric sequence is is 32805
Helllp please someone
Answer: -920
Step-by-step explanation:
-447 - 473 = -920
In this case, smaller means more negative
Answer:
-920
Explanation:
To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:
-447 - 473
- (447 + 473)
-920
Therefore, the new dot was on -920.
Solve the inequality, then identify the graph of the
solution
-3x-3<_6
Answer:
First Part is C
The second part is 0,2,4
Step-by-step explanation:
Edge said so
The graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The expression is [tex]-3x-3\leq 6[/tex].
The graph below shows the inequality of the expression.
The solution of the expression is
[tex]-3x-3\leq 6[/tex]
⇒ [tex]-3x\leq 6+3[/tex]
⇒ [tex]-3x\leq 9[/tex]
Divide both sides by -3. Then the inequality will also get changed.
⇒ [tex]\frac{-3}{-3}x\geq \frac{9}{-3}[/tex]
⇒ [tex]x\geq -3[/tex]
Hence we can conclude that the graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.
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Solve for x and y adding
2x + 4y = 16
-5x-4y = 16
Show work
Answer:
x = -32/3
y =28/3
Step-by-step explanation:
2x + 4y = 16
-5x-4y = 16
Add the equations
2x + 4y = 16
-5x-4y = 16
--------------------
-3x = 32
Divide each side by -3
x = -32/3
Now solve for y
2x+4y = 16
2(-32/3) +4y = 16
-64/3 +4y = 16
Multiply each side by 3 to get rid of the fractions
-64 +3*4y = 16*3
-64 + 12y = 48
Add 64 to each side
12y = 112
Divide by 12
12y/12 = 112/12
y =28/3
Kiran says we should add the constraint 1 is greater than or less than 0
1. What is the reasoning behind this constraint?
-
2. What other "natural constraint" like this should be added?
Bryan and his son, and Elton and his son all went fishing. Bryan caught as many fish as his son and Elton caught three times as many fish as his son. All together, they caught 25 fish. How many fish did Bryan catch?
Answer:
The answer is explained below
Step-by-step explanation:
This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.
Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes
Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes
All together, they caught 25 fish
Therefore it can be represented by the equation:
x + x + y + 3y = 25
2x + 4y = 25
2x = 25 - 4y
x = (25 - 4y)/2
The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son
What is the surface area of the figure?
4 cm
3 cm
5 cm
1.5 cm
8 cm
o
A. 12 cm2
B. 24 cm
O
C. 28 cm2
O
D. 42 cm2
Answer:
It should be 24 cm^2
Step-by-step explanation:
there are 3 shape. 2 rectangles and a triangle
to find the area for the rectangle is length x width
to find the area of a triangle its 1/2 x base x height
the small rectangle
4*1.5=6
the bigger rectangle
3*4=12
the triangle
1/2*4*3
1/2*12=6
Add them all up and you get 24
(URGENT)Which summation formula represents the series below?
13 + 9 + 5 + 1
Σ-4n+1)
Σ-47-15)
Σ(n-4)
Σ(n-4)
Answer:
Σ-47-15)
Step-by-step explanation:
Option D is correct, the summation formula that represents the series is Σ(n-4) for n=1 to 4.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
A series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
The series can be written as:
13 + 9 + 5 + 1 = (4×3 + 1) + (4×2 + 1) + (4×1 + 1) + (4×0 + 1)
= (4×(3-1) + 1) + (4×(2-1) + 1) + (4×(1-1) + 1) + (4×(0-1) + 1)
= Σ(n-4) from n=1 to 4
Therefore, the summation formula that represents the series is Σ(n-4).
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Evaluate \sqrt{-75s}
−75s
square root of, minus, 75, s, end square root where s = -3s=−3s, equals, minus, 3.
Answer:
Step-by-step explanation:
the answer is 15!
The square root of the number -√75 will be -3√5.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The square root of the number will be calculated as below:-
-√75 = - √( 3 x 3 x 5 )
= -3√5
Therefore, the square root of the number -√75 will be -3√5.
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Vector donated 1/5 of yesterday's sales plus an additional $125. He gave Azul $2,225 total. How much money did the store make in sales yesterday?
Miguel’s savings account balance changed by -$48 over a year because a banking fee was withdrawn every month. He wants to find the monthly change to his account.
Answer:
-48 ÷ 12
Step-by-step explanation:
account balance changed over a year = -$48
In a year, there are 12 months. Above statement can also be written as
account balance changed in 12 months = -$48
we have to find monthly change, so we divide LHS and RHS by 12
account balance changed in 12 /12 months = -$48/12
Thus, account balance changed in 1 months = -$48/12
which is represented option 4 i.e -48 ÷ 12
$320 is invested in an account earning 8.1% interest (APR), compounded quarterly. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent
Answer:
Step-by-step explanation:
Given that:
The investment amount in account = $ 320
The rate of interest is = 8.1% compounded quarterly
Compunded quarterly means 8.1% / 4 = 0.02025
The time period = t years
The objective is to write a function showing the value of the account after t years.
From compound interest , compounded monthly.
[tex]Amount = Principal * ( 1 + \dfrac{rate}{12*100})^{12*time}[/tex]
[tex]= $320 *(1 + \dfrac{0.02025}{12*100})^{12t}[/tex]
[tex]= 320*(1+ 1.6875*10^{-5})^{12t}[/tex]
[tex]= 320 * ( 1.000016875)^{12t}[/tex]
Thus; the function after t years [tex]= $320 * ( 1.000016875)^{12t}[/tex]
The percentage of growth per year is :
= (1 + 0.02025)^4 - 1
= 1.083493758 - 1
= 0.083493758
= 8.4 % (APY) yearly
Question 3 of 15
2 Points
Solve the equation for x.
14x = 28
X =
Answer here
Answer:
x = 2
Step-by-step explanation:
[tex]14x = 28\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{28}{14}\\Simplify\\x=2[/tex]
if cos 67 degrees is close to 2/5 which is closest to the length of no
PO=100cm
P=23 degrees
Answer:
40 cm
Step-by-step explanation:
In the right triangle PNO:
∠N = 90°PO = 100cm (the hypotenuse of the triangle)∠P = 23°∠O = 90° - 23° = 67°side NO is adjacent to ∠OBy definition:
cos(β) = adjacent/hypotenuse
Replacing with data and solving for NO:
cos(∠O) = NO/PO
2/5 = NO/100
NO = (2/5)*100
NO = 40
HI!!! I just finished the unit 7 lesson 11 unit test!! Here are the answers: :)
1. A: 2
2. C: 225
3. C: pi/4
4. A: -465
5. C: 0
6. B: 210
7. B: 2pi
8. A: 52
9. C: 40
10. C: 3rd graph
11. A: y=sin pi/265
12. B: 1/4pi
13. D: y=3cos2
14. A: sqrt3/3
15. C: 0
16. C: 3rd graph
17. A: 187
18. C: sqrt2/2
19. B: 1+sin theta
20. D: 45
21. D: 0.64
22. A:80
23. C: pi/2, 5pi/4, 3pi/2, 7pi/4
24. C: csc theta =13/12, sec theta= 13/5
hope this helps someone :)))
Can someone please answer this?
Answer: it is a parallelogram
Step-by-step explanation:
the coordinates form a parallelogram as you can see on the grid.
the shapes edges are joined together to form a parallelogram
there you go
Consider the table showing the given, predicted, and residual values for a data set.
A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 1.6, 2.2, 4.5, 6.1. The third column is labeled predicted value with entries negative 1.2, 1.5, 4.7, 6.7. The fourth column is labeled residual value with entries negative 0.4, 0.7, negative 0.2, negative 0.6.
Which point would be on the residual plot of the data?
Answer:
(4, -0.6)
Step-by-step explanation:
The table is:
x Given Predicted Residual value
1 -1.6 -1.2 0.4
2 2.2 1.5 0.7
3 4.5 4.7 -0.2
4 6.1 6.7 -0.6
The points on the residual plot must be the pairs (x, residual value). This is:
(1, 0.4)
(2, 0.7)
(3, -0.2)
(4, -0.6)
Thus, the correct choice is the last one: (4, -0.6)
The point that would be on the residual plot of the data is (4, -0.6). See the explanation below.
What is a residual plot?A residual plot is a graph in which the residuals are displayed on the vertical axis and the explanatory variables is displayed on the horizontal axis.
From the analysis of the table attached, we have the following points on the residual plot:
(1, 0.4)
(2, 0.7)
(3, -0.2)
(4, -0.6)
Point on the residual plot must include the point on x and a residual value, hence, the correct answer is (4, -0.6).
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Find the value of x in the triangle shown below.
Answer:
58
Step-by-step explanation:
since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)
then just use 180 minus the two angles and you will get x
What is the leading coefficient and constant of this problem?
(8
2/7*3/8>3/8 because 2/7>1
Which symbol correctly compared these two fractions
Answer:
B
Step-by-step explanation:
> = greater than
= this means equal to
< = less than
[tex]\frac{8}{13} =\frac{8}{13}[/tex]
completely factor -6x^3+11x^2+10x
Answer:
-x (2 x - 5) (3 x + 2)
Step-by-step explanation:
Factor the following:
-6 x^3 + 11 x^2 + 10 x
Factor -x out of -6 x^3 + 11 x^2 + 10 x:
-x (6 x^2 - 11 x - 10)
Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):
-x 2 x (3 x + 2) - 5 (3 x + 2)
Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):
Answer: -x (2 x - 5) (3 x + 2)
A line of best fit is drawn for the set of points shown on the graph.
A 2-column table with 10 rows. The first column is labeled x with entries 5, 6, 8, 8, 10, 11, 14, 15, 16, 18. The second column is labeled y with entries 8.9, 11.4, 13.6, 14, 15.3, 12.25, 22.1, 21.8, 20.8, 24.5. A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 24. A line increases from 0 to 17.
Which point is an approximate extrapolation for x = 30 from the line of best fit?
(23, 30)
(30, 38)
(44, 30)
(30, 72)
yo hice el examen y la tuve mal pero me dijo cual era la correcta y es (30,38)
I do the exam and I heve it wrong but the exam put what was the correct answer and it is (30,38)
option B
Equation of Linear Regression line is
y=1.14 x + 3.805
so, (30,38) is an approximate extrapolation for x = 30 from the line of best fit.
What is line of regression?A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.
here, we have,
A line of best fit is drawn for the set of points shown on the graph.
from the given information,
we get,
for, x=30
y=1.14 × 30 +3.805
y=34.20 +3.805
y=38.005
y=38 (approx)
Equation of Linear Regression line is
y=1.14 x + 3.805
so, (30,38) is an approximate extrapolation for x = 30 from the line of best fit.
So, Ordered pair is , (30,38)
Option B
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does anyone know this one?
Answer:
20x
Step-by-step explanation:
Step-by-step explanation:
The ? is 4 * 5x which is 20x.
Sara rolls two dice, one black and one yellow. What is the probability that she will roll a 3 on the black die and 5 on the yellow die?
Answer:
1/6 x 1/6 = 1/36
Step-by-step explanation:
We have to multiply as the odds get smaller as in every experimental probability being from experimental one dice and then trying to achieve that number alongside and same timing another number on an inclusive 2nd dice.
An electrician charges $15 per hour and spends $30 a day on gasoline. At the
end of the day, he is left with $105. Represent his earnings for one day using
a mathematical statement if he works for "x" hours in a day.
2. Determine if the two quadrilaterals are similar,
if they are, state the scale factor.
Answer:
Yes, they are similar. The scale factor is 5/3
Step-by-step explanation:
The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK
The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR
If the two quadrilaterals are similar, the following proportion must be satisfied:
JM = k*QP
ML = k*PS
KJ = k*RQ
LK = k*SR
where k is the scale factor. Solving for k and replacing with lengths:
k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3
From the figure, we can also see that:
∠M ≅ ∠P
∠L ≅ ∠S
∠R ≅ ∠K
∠Q ≅ ∠J
Therefore, the two quadrilaterals are similar.
If two-thirds of a number is five-thirds more than the number, what is the number?
Yep another question... what my teacher never teach me this
Answer:
its b.
Step-by-step explanation:
In the diagram, measure angle 3 = 120° and measure angle 12 = 80°. Which
angle measures are correct? Check all that apply
measure angle 1 = 60°
measure angle 13 = 80
measure angle 6 = 80°
measure angle 5 = 60°
measure angle 10 = 120
measure angle 14 = 100
Answer:
1, 13, 5 are correct
Step-by-step explanation:
Answer: A,B,D,F are correct
Step-by-step explanation:
Given a = -3 and b= 4 and c=-5, evaluate
atb
C
-1/5
O 1/5
0 -7/5
Answer:
I got - 5 as an answer.
I don't think I made a mistake.
Please if you find any error, contact me in the comment section.
Step-by-step explanation:
[tex]a = -3 , b= 4 ,c= - 5\\(a+b)c\\(-3+4)-5\\(1)*(-5)\\Answer = -5[/tex]
You start at (7, 0). You move up 9 units. Where do you end?
Answer:
(7, 9)
Step-by-step explanation:
Answer:
Your answer should be 7, 9
PLEASE ANSWER ASAPPP
The scouts sold small and large boxes of cookies as a fund raiser. One scout sold 7 small boxes and 12 large boxes for $54.00. Another scout sold 5 small boxes and 10 large boxes for $60.00. The scout leader wrote a system of equations to represent the their sales.
7 x + 12 y = 54. 5 x + 10 y = 60.
Which constants can each equation be multiplied by so that one variable is eliminated when the equations are added? Check all that apply.
1. The first equation can be multiplied by 5 and the second equation by –6 to eliminate the y.
2. The first equation can be multiplied by –5 and the second equation by 6 to eliminate the y.
3. The first equation can be multiplied by –5 and the second equation by 7 to eliminate the x.
4. The first equation can be multiplied by 5 and the second equation by –7 to eliminate the x.
5. The first equation can be multiplied by –5 and the second equation by 10 to eliminate the x.
Answer:
1, 2, 3, 4
Step-by-step explanation:
1) works 60y+(-60y)=0
2) works(-60y)+60y=0
3)works (-35x)+35x=0
4) works 35x+(-35x)=0
5) doesn't work (-35x)+100x doesn't equal 0
Answer:
1,2,3,4
Step-by-step explanation: