The 15th term of the geometric progression is 9,565,94.
What is the 15th term of the geometric progression?A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.
From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that
a1 r a1 r3 = 2 a1 r4
The r's and one a1 cancel leaving a1 = 2.
Now, plugging similarly into a1 + a2 + a3 + a4 = 80,
2 + 2r + 2r2 + 2r3 = 80
r3 + r2 + r + 1 = 40
In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.
So the geometric sequence here is an = 2 3n-1. The 15th term is then:
a15 = 2*3^14
a15 = 9,565,938.
Full question:
A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.
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According to a company's website, the top 15% of the candidates who take the entrance test will be called for an interview. You have just been called for an interview. The reported mean and standard deviation of the test scores are 70 and 7, respectively. If test scores are normally distributed, what is the minimum score required for an interview?
Answer:
The minimum score required for an interview is 77.252
Step-by-step explanation:
We solve this using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.
The z score of 85th percentile = 1.036
Mean = 70
Standard Deviation = 7
Minimum score = raw score = ???
Hence:
1.036 = x - 70/7
Cross Multiply
1.036 × 7 = x - 70
7.252 = x - 70
x = 70 + 7.252
x = 77.252
The minimum score required for an interview is 77.252
Aanya wrote the four equations that are shown below.
A
6 x minus 8 = 4 (x minus 2) + 2 x
B
3 (x minus 1) + 2 x = 3 (x minus 1) + 2
C
7 x + 2 minus x = 6 (x + 2)
D
4 (x + 3) + x = 5 (x + 1) + 7
She examined them, without solving them, to determine which has exactly one solution. Which of Aanya’s equations has exactly one solution?
6 x minus 8 = 4 (x minus 2) + 2 x
3 (x minus 1) + 2 x = 3 (x minus 1) + 2
7 x + 2 minus x = 6 (x + 2)
4 (x + 3) + x = 5 (x + 1) + 7
Answer:
B
Step-by-step explanation:
.' )
Answer:
The answer is B.
Step-by-step explanation:
I just took the test.
of your division problem by the divisor and compare the result with the dividend. If they are equal, your division was correct. SAMPLE PROBLEM 1: Divide 564 by 47, and check your result with multiplication. your quotient.
La respuesta de tu división es exact
Step-by-step explanation:
Tu división es de 564/47 el consciente es: 12 ahora multiplicamos 47*12 = 564
How can you use linear relationships to compare real-world
situations?
Answer:
Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit.
Step-by-step explanation:
Given m||n, find the value of x.
Answer:
27 degrees
Step-by-step explanation:
the 27 degrees
Answer:
27°
Step-by-step explanation:
X and 27° are both alternate interior angles (on opposite sides of the transversal, between the two parallel lines), which makes them congruent! So they are both 27°.
A function f(x) is graphed.
What is the slope of the function?
ma
What is the y-intercept of the function?
b.
Which equatich represents the graph of the function?
Answer:
slope:1/2
y intercept:-1/2
equation of the line: y=1/2x-1/2
Step-by-step explanation:
choose two points from the line( I chose (3,1) and (-1,-1)) and then using y1-y2/x1-x2, do 1 - -1/3 - -1 which is 2/4 simplified to 1/2. the slope is 1/2.
now to find the y intercept, you just have to plug in the numbers from one of the sets of points you chose and your slope using y = mx +b(I will be using the point (-1,-1)). equational look like this: -1=1/2•-1+b
since b is the y intercept, solve for b and you get b= -1/2.
so nowsince you know the slope and the y intercept you just plug it in to the equation
y = mx + b and you get y=1/2x-1/2.
PLEASE HELP, MARKING BRAINLIEST!!!!
These triangles are congruent by _____.
A. SAS
B. ASA
C. AAS
D. SSS
Answer:
ASA Postulate
Step-by-step explanation:
It's Angle-Side-Angle Postulate because you can see two clearly congruent angles, two clearly congruent sides attached to that angle, and the angle connected to that line is congruent to the other triangles corresponding angle because they're vertical angles.
Answer:
B. ASA
Step-by-step explanation:
We know that the angles in which the triangles are connected are equal to one another because the lines continue and do not bend so that is your first angle, then we see a red line on both triangles indicating that the sides are equal. That is your side, and finally there is a red curve in both corners of the triangle indicating the angles are equal. Therefore the triangle is congruent by ASA.
Please help im a bit confused
Answer:
200,000
80,000
9,000,000
10,000,000,000
What is the context of this question?
Step-by-step explanation:
Answer:
So standard form just means 200,000 written as like 200^ something(I think)
Step-by-step explanation:
find the slope of the line passing through the points (-2,-8) and (7,-8)
Answer: 0/9
Step-by-step explanation: Hi there!
First, we have to put the points into the y2-y1/x2-x1 form.
Take the y value from the second point (-8) and the first point y value (-8)
and subtract.
-8 - (-8)
to get 0
Now we have to get our denominator by taking the x value from our second point and subtracting it by our first y point.
7 - (-2)
to get 9
so when we put that together...
we get 0/9
So the answer is 0/9.
Hope this answer helps you!
Which one?
A. B. C. or D?
Answer:
I think that the answer is D
Step-by-step explanation:
When a geometric figure turns about a certain point it is called a_____
Answer:
rotation
Step-by-step explanation:
hope this helps
Answer:
Rotation (✿◠‿◠)
WHat is the correct sequence of steps
option 2:
1-3-4-2-5
1 puts it into terms of sins and cosines,
3 uses the half-angle equation
4 uses the square root rules
2 is just fraction manipulation
5 is a simplification
Answer:
1-3-4-2-5
Step-by-step explanation:
correct on edge 2021 :D
Simplify 9 to the 2nd power/ 9 to the 7th power
Answer:
9^2=81, 9^7=478,296,9
PLEASE HELP ME OUT
John has two coupons to use at a clothing store. One is for $20 off and
the other is for 20% off. John wants to purchase a shirt with one of the
coupons and wants to pay the least amount that he can. Choose the
answer that BEST describes the situation.
A. The shirt will have the lowest price with the $20 off coupon
B. The shirt will have the lowest price with the 20% off coupon.
C. The shirt will cost the same with either coupon.
D. It depends on the cost of the shirt as to which coupon will help John pay the lowest
price
Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.
Step-by-step explanation:
You do not know how much a 20% discount is unless you know the price of the shirt. This can be more or less than $20, so you don’t know.
Hope this helps!
Answer:
D.
Step-by-step explanation:
For example if a shirt was $100 dollars, 100-20 = 80 and 100 x .8 = 80
But if the shirt cost $35, 35-20 = 15 while 35 times .8 = 28
This shows that the cost of the shirt is important in discovering which coupon is better.
What is the value of x?
Answer:
As x is the exterior angle
Step-by-step explanation:
therefore
let name the angle exterior angle be ACE
interior angleABC=76°and angleBAC=55°
sum of 2 interior angle is equal to exterior angle
=76+55=x
=131=x
Write an expression for the perimeter of the triangle shown below: (4 points)
A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.
A 6.9x − 16
B 6.9x + 16
C 0.1x − 16
D 0.1x + 16
Answer:
The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of its sides
Let us solve the problem
∵ The lengths of the sides of a triangle are:
0.5x + 93x-3.4x - 25∵ The perimeter of the triangle = sum of lengths of its sides
∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)
→ Add the like terms
∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)
→ Remember (+)(-) = (-)
∴ The perimeter = (3.5x - 3.4x) + (9 - 25)
∴ The perimeter = 0.1x + -16
∴ The perimeter = 0.1x - 16
The expression of the perimeter of the triangle is 0.1x - 16
Answer:
C.
Step-by-step explanation:
0.1x − 16
PLEASE ANSWER!! Quadrilateral PQRS is shown on the coordinate plane.
Answer:
i have no idea
dont spam "please answer" its not cool
A girl’s club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl’s club?
The percent change is 0.38%.
The percent change is 0.6%.
The percent change is 38%.
The percent change is 60%.
Answer: option D
Step-by-step explanation:
Answer:
D.) The percent change is 60%
Step-by-step explanation:
I know this because 960-600= 360
360÷600= .6
.6= .60
.60= 60%
Hope this helped!!! :)
If an object is dropped from a height of 39 feet, the function h(t)=-16t^2+39 gives the height of the object after t seconds. Graph the function
Answer:B
Step-by-step explanation: I took the test.
The graph of the function h(t)=-16t^2+39 is graph (b)
The equation of the function is given as:
h(t)=-16t^2+39
The above function is a quadratic function that as a y-intercept of 39.
This is shown as follows:
h(0)=-16 * 0^2+39
Evaluate the exponent
h(0)=-16 * 0+39
Evaluate the product
h(0)=0+39
Evaluate the sum
h(0)= 39
Hence, the graph of the function h(t)=-16t^2+39 is graph (b)
Read more about quadratic functions at:
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Identify each part of the algebraic expression as the coefficient, constant, or variable.
1. 4x - 12
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________
2. a + 3b
a is a(n) ___________________
3 is a(n) ___________________
b is a(n) __________________
3. 6y
6 is a(n) ___________________
y is a(n) ___________________
TRANSLATIONS
DIRECTIONS: Highlight and Translate, Then type the final translation.
1. Three less than “x” is equal to 13. ________________________
2. The product of 9 and “m” is 45. ________________________
3. A number divided by 6 is 18. ________________________
4. A number plus 17 is 25. ________________________
5. Seven times a number is 28. ________________________
6. A number divided by 7 is 9. ________________________
7. A number minus 12 is 20. ________________________
8. The quotient of “y” and 3 is 25. ________________________
9. One-fifth of “r” is 15. ________________________
10. Six less than 2 times “y” is 34. ________________________
11. Five more than “n” is equal to 9. ________________________
12. A number increased by 3 is 19. ________________________
13. The difference of “p” and 7 is 30. ________________________
14. Fifteen multiplied by “k” is 75. ___________________________
15. The sum of 3y and 5 is 47. ________________________
Answer:
1. coefficient,variable, constant
2. variable,coefficient,variable
3. coefficient, variable
Translations:
1. x-3=13
2. 9m=45
3. x/6=18
4. x+17=25
5. 7x=28
6. x/7=9
7. x-12=20
8. y/3=25
9. r/5=15
10. 2y-6=34
11. 5+n=9
12. x+3=19
13. p-7=30
14. 15k=75
15. 3y+5=47
On a certain Friday night, the local baseball stadium earned $867.50 in revenue from ticket sales on 310 tickets. Ticket prices are $3.00 for adults and $2.50 for children. How many adults attended the game on Friday?
Answer:
185
Step-by-step explanation:
Found by solving the system of equations:
3x+2.5y = 867.5
x+y = 310
1/3 of the 12 pencils were broken.How many pencils were broken
Answer:
4
Step-by-step explanation:
You can multiply 1/3 by 4 to equal 12 giving you your answer
Answer:
Step-by-step explanation:
4 pencils were broken
1/3 * 12 is 4
Which of the following is equivalent to 5(7 - p)?
5p - 35
-5p + 35
35 + 5p
-35 + 5p
Answer:
-5p+35
Step-by-step explanation:
=(5)(7+−p)
=(5)(7)+(5)(−p)
=35−5p
=−5p+35
What is the range of the function in this table x 1 2 3 4 Y 2 4 3 2
Answer:
(2, 4, 3)
Step-by-step explanation:
Range = Y
14+14 plaxdivu nfnvhwijqco n uhfen uew9 nfh nf hfn feuh
Answer:
28?
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
jzbsi siveid eishjwie isbeidbd dibeiehd jsheosb djdbdiebkd isbdodbd idjeidn zidbodd jsjdodn zjdj
..................................................................................................dotty gangz .............................................................................
------------MAKE SOME NOICEEEEE --------
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help awnser attach the awnser using image
Step-by-step explanation:
Hey there!
The given points are; (-4,-1) and (4,2).
Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{2 + 1}{4 + 4} [/tex]
Simplify it.
[tex]m = \frac{3}{8} [/tex]
Therefore, the slope is 3/8.
Hope it helps...
whats the product of (3-2i) and (7+6i)?
Answer: the product is = 33+4i
Step-by-step explanation:
21+4i-12i^2
21+4i-12(-1) i^2=-1
21+4i+12
your answer would be 33+4i .
which is the best estimate of -14 1/9 × -2 9/10
Answer: 42
Step-by-step explanation:
-14 1/9 would round to -14
-2 9/10 would round to -3
-14 x -3= 42
Write the inequality:
2 times d is less than 10
Answer:
2d<10 or 10>2d
Step-by-step explanation:
Answer:
2d < 10
Step-by-step explanation:
simplify the following
Answer:
D. 64 z^ 2
Step-by-step explanation:
Simplify the expression.