Evaluate each series.
50 points and brainless!
Answer:
Sum of n terms of a GP:
Sₙ = a₁(rⁿ - 1)/(r - 1)#1
a₁ = 5r = 2n = 9S₉ = 5(2⁹ - 1)/(2 - 1) = 5(511) = 2555Correct choice is C
-----------------------------
#2
a₁ = 12r = 1/2n = 5S₅ = 12(1 - (1/2)⁵)/(1 - 1/2) = 12(31/32)/(1/2) = 23.25Correct choice is A
Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried an 8.5 percent interest rate?
Answer:
the answer 57.8
85 x 8 x 8.5% = 57.8
Step-by-step explanation:
brainliest pls
Simplify the expression by combining like terms.
Write the terms from the highest to the lowest
power of the variable.
-9x^2 + 19x - 9x + 6 - 17x^2 + 25 + 10x^2 + 3x
Answer:
The answer: is 118
I hope this help you enjoy :D
Step-by-step explanation:
A motorcycle can go 40 miles using one gallon of gas. About how many gallons of gas will be used to go 325 kilometers?
Answer:
5.025 gallons
Step-by-step explanation:
Step 1: Convert 325 kilometers to miles
[tex]325 = 201[/tex]
Step 2: Set up a fraction
[tex]\frac{40}{1}=\frac{201}{x}[/tex]
Step 3: Cross multiply
[tex]40 \times x = 40\\\\201 \times 1 = 201[/tex]
Step 4: Divide the values left
[tex]201 \div 40\\\\= \frac{201}{40}\\\\= 5.025[/tex]
Therefore, about 5.025 gallons of gas will be used to go 325 kilometers.
Given g(x) = -2 – 5, find g(1).
Answer:
-7
Step-by-step explanation:
There's no "x" in the equation, so there's nothing to plug in. I don't know if you just forgot to type it, but for all numbers, it's gonna equal -7. Even if there was an x, it would still equal -7.
HELP ASAP WILL GIVE MOST BRANILIST
A manufacturing manager reports to the CEO that 5% of products that come off the assembly line are defective. A study is performed to investigate this claim. In a random sample of 250 products that come off the assembly line, 14 are found to be defective. The CEO wants to know if the data provide convincing evidence that the true proportion of defective products differs from 0.05. Are the conditions for inference met?
Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the Large Counts Condition is not met.
No, the randomness condition is not met.
Answer:Yes, the conditions for inference are met
Step-by-step explanation:
I took the test edge 2020
Answer:Yes, the conditions for inference are met.
Step-by-step explanation:
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.8 and 5.7, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance
Answer:
We can conclude that the result is significant and production differ in cost variance.
Step-by-step explanation:
Given :
n1 = 16
n2 = 16
s1² = 5.7
s2² = 2.8
α = 0.10
H0 : σ1² = σ2²
H1 : σ1² ≠ σ2²
The test statistic :
Ftest = s1² / s2² =
Ftest = 5.7 / 2.8
Ftest = 2.036
Using the Pvalue from Fratio calculator :
df numerator = 16 - 1 = 15
df denominator = 16 - 1 = 15
Pvalue(2.036, 15, 15) = 0.0898
Pvalue = 0.0898
Since the Pvalue is < α ; We can conclude that the result is significant and production differ in cost variance.
WHATS THE ANSWER? MULTIPLE CHOICE 50 PTS
Answer:
D
Step-by-step explanation:
Seventeen less than p infers that the number is p minus 17. This number is then divided by 8, which requires us to put parenthesis in order to properly divide the number after doing p - 17
Please give brainliest thank you
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
The quotient when 17 less than p is divided by 8.
Well, let's first take 17 less than p. That'll be :-
[tex] \sf \: p - 17[/tex]
Note :- 'p' comes first as the question has the words - less than p.
Now, we have the remaining -> 'is divided by 8'.
The equation will become :-
[tex] \sf \:( p - 17) \div 8[/tex]
Note :- We have put the bracket because they have asked the quotient. To form a quotient you need 2 numbers - a divisor & a dividend. Hence, 2 numbers -> (p - 17) & 8.
So, Option D [tex]\boxed{\underline{\bf \: (p-17)÷8}}[/tex] is the correct answer.
________
Hope it helps.
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
A dot plot titled Number of Hours Spent on Homework goes from 1 to 6. There is 1 dot above 1, 5 dots above 2, 6 dots above 3, 4 dots above 4, 1 dot above 5, and 1 dot above 6. What is a dot plot and how do you read it? Check all that apply. A dot plot is a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. 3 students spent 4 hours on homework. 5 students spent 2 hours on homework. Dot plots show the distribution of the data. Students spent 1 to 6 hours on homework.
plzzzzzz help for a brainly
Which number line shows the solution of -3x + 6 > 12
Answer:
x < -2
Step-by-step explanation:
subtract 6 from each side
-3x > 6
divide both sides by -3
x < -2
(with inequalities you must flip the sign if you divide by a negative number)
Marlon's Cat will be having four kittens. Marlon Performs a simulation by tossing a coin to model whether these kittens will be male or female. Let heads (H)= female kittens and Let tails (T) = male kitten
Answer:
20
Step-by-step explanation:
Answer:
2/10 = 20%
Step-by-step explanation:
Can someone please help me I will mark u brilliant for both
Answer:
1. 1/2
2. 4
Step-by-step explanation:
2. 14x = 56
56 / 14
x = 4
What is the measure of angle L
Answer:
90-15 and you have your answer
Answer:
75
Step-by-step explanation: it is a right angle so you do 90-15 which is 75 degrees.
What is the explicit formula for this sequence?
-9, -3, 3, 9, 15, ...
Answer:
What is the explicit formula for this sequence? -9, -3, 3, 9, 15, ... - did not match any news results.
Suggestions:
Make sure that all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords
write the equation for a parabola with a focus at (-3,-5) and a directrix at x=-7
x=
Answer:
hope this helps
Step-by-step explanation:
equation for a parabola is:
What is parabola?The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.
Given: focus= (3,-5), directrix at x =-7.
To find equation of parabola we will use distance formula,
√(x+7)²=√(x+3)² + (y+5)²
(x+7)²=(x+3)² + (y+5)²
x²+14x+49= x²+9+6x + (y+5)²
8x + 40 = (y+5)²
x= (y+5)²/8 -5
Hence, the equation of parabola is x= (y+5)²/8 -5
Learn more about equation of parabola here:
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Please help!! Timed assignment
Arrange the figures in increasing order of their volumes. Use Pi =22/7
Answer:
see the list below
Step-by-step explanation:
did all the formulas for each and I believe the order is from (smallest to biggest)
1. The half sphere or hemisphere (3rd in the picture)
2.The pyramid
3.slanted cone
4.cone
5.slanted cylinder
6.and finally the cylinder
the spinner below is spun twice. What is the probability of the arrow landing on a 3 and then an odd number?
Please help
Answer:
4/3
Step-by-step explanation:
PLEASE HELP!!! WILL MARK BRAINLIEST!!!
What is the explicit rule for the sequence?
- 114, -109, -104, -99,
An= -5n - 109
An= -5n - 119
An= 5n - 119
An= 5n - 109
Answer:
5n - 119
Step-by-step explanation:
First, we notice that the sequence is going up by 5, so we could rule out 2 answers: -5n - 109, and -5n -119 (They go by -5). Then all we have to find is the constant, -119 or -109. Well we could rule out -109 because -114 is included in the sequence, and if we start by -109 and start counting up, we will never get to -114. So, the solution is 5n - 119
We have been given that - 114, -109, -104, -99. the explicit rule for the sequence is 5n - 119.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
[tex]T_n = a + (n-1)d[/tex]
(for all positive integer values of n)
And thus, the common difference is
[tex]T_{n+1} - T_n[/tex]
for all positive integer values of n
We have been given that
- 114, -109, -104, -99,
a = -114
[tex]T_n = a + (n-1)d[/tex]
T = -114 + (n - 1)5
T = 5n - 119
Learn more about arithmetic sequence here:
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PLS HURRY. WILL MARK BRAINLEST!!!! JWKSNWN PLEASE I NEED IT!!
Answer:
B
Step-by-step explanation:
Mark me brainliest PLZ
(x-4)2 + 3x at the value x = 7
Answer:
30
Step-by-step explanation:
x = 7
( x - 4 )^2 + 3x
= ( 7 - 4 )^2 + 3 ( 7 )
= 3^2 + 21
= 9 + 21
= 30
Answer:
The answer is 27
Step-by-step explanation:
(X-4)2 + 3x
x is equal to 7
first substitute the values.
(7-4)2 + 3 x 7
solve-
(3)2 + 21
=27
What is the spread of the data in the dot plot?
Number of Apples in Each Bag
10
11
12
13
14
15
from 0 to 5
Ofrom 10 to 15
ОООО
O from 12 to 15
O from 0 to 6
Answer:
from 10 to 15
Step-by-step explanation:
because when your finding the spread you take the highest and lowest number.
PLEASE HELP
Select the correct answer from each drop-down menu.
8 cm
4 cm
9 cm
3 cm
3 cm
6 cm
The given composite shape has an area of
cm² and a perimeter of
cm.
Answers:
Area = 78 cm^2
Perimeter = 42 cm
============================================================
Explanation:
Refer to the diagram below.
I've added points and labels, along with the dashed lines to break up the figure into three rectangles. The points in blue are the corner points of the original figure. The red points help set up the dashed lines.
Along the very top, we have BC = 8 cm, which breaks down into BK = 6 and KC = 2. Opposite of side KC is GJ = 2. For any rectangle, the opposite sides are always the same length.
Side AB = 9 cm. The three vertical sides of CD, EF, and GH all must add to get 9 cm in total, since the right side is the same height as the left side. We are given that EF = 3 and GH = 3, which must mean CD = 3 as well.
Through similar logic, the sides BC = 8 and DE = 4 add to 8+4 = 12 cm total. This total distance across the top must match the total distance along the bottom; i.e. the bottom horizontal sides of AH and GF must add to 12 as well. We are given AH = 6, so GF = 6 also.
Recall earlier we found GJ = 2. If GF = 6, then that leads to JF = 4.
In other words, GJ+JF = 2+4 = 6 = GF.
All of this is visually shown in the diagram shown below.
Once you have the diagram set up as shown, it's fairly straight forward from here. Compute the area of each of the three smaller rectangles and then add up those smaller areas to get the overall area.
I'll work from left to right to find the areas:
Rectangle ABKH has area of 9*6 = 54 cm^2Rectangle GKCJ has area 6*2 = 12 cm^2Rectangle JDEF has area 3*4 = 12 cm^2The total area of the composite figure is therefore: 54+12+12 = 78 cm^2
---------------------------
The perimeter is the sum of all the external sides. We'll ignore the dashed lines as they are not exterior segments.
perimeter = sum of exterior sides
perimeter = AB+BC+CD+DE+EF+FG+GH+HA
perimeter = 9+8+3+4+3+6+3+6
perimeter = 42 cm
Notes:
To keep things organized, I'm working clockwise when going from AB to BC to CD etcThere are a total of 8 exterior sides being added up to get the perimeter.increased in price by 1/4. After the increase it was priced at £85 what was the original price of the tshirt?
The table below represent a linear relationship between x and Y. Which statement correctly compares the rate of change of the values in the table with the rate of change of the equation Y=2X+107?
Answer:
c. the rate of change in the table is greater than the rate of change of y=2x+10
Step-by-step explanation:
rate of change in table is 3x and the given one is 2x
Answer:
c. the rate of change in the table is greater than the rate of change of y=2x+10
Step-by-step explanation:
rate of change in table is 3x and the given one is 2x
Round the number 246.13687 to the nearest thousandth
Answer:
246.137
Step-by-step explanation:
246.13687 ≈ 246.137 (rounded to the nearest thousandth)
83 less than triple m
Answer:
3m-83
Step-by-step explanation:
Okay, so first, you'd like to triple m. This would mean that it would be m+m+m, which is also 3m. Next you have to subtract 83. This would make it 3m-83.
Hope this helped!! :D
If you have any questions, let me know!
Graph the function defined by the parametric equations x = 2t3 – 3t and y = -2t2 – 1 over the parameter
-2 < t < 2.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does this nicely.
For what values of X are the statements below true
A. 1x>x+1
B. |1-x| > 3
C.|x-15| < 0
Answer:
See solutions below
Step-by-step explanation:
For what values of X are the statements below true
A. 1x>x+1
x >x+1
x-x>1
0x > 1
x > 1/0
X >∞
B) |1-x|>3
The fucntion can both be positive and negative
For the negative function
-(1-x) > 3
-1+x > 3
x > 3+1
x > 4
For the positive function
1-x > 3
-x > 3 - 1
-x > 2
x < -2
Hence the required solutions are x > 4 and x < -2
c) For the equation
|x-15| < 0
-(x - 15) < 0
-x + 15 < 0
-x < -15
x > 15
Also x-15 < 0
x < 0+15
x < 15
Hence the required solution is x > 15 and x < 15