Answer:
0.28
Step-by-step explanation:
The sum of the geometric value progression is S = 0.28
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the sequence be A = { 1 - 0.99 + 0.99² - 0.99³... - 0.99⁷⁹ }
So , A = 1 - { 0.99 - 0.99² + 0.99³... + 0.99⁷⁹ }
Let the first term of the GP be a₁ = 0.99
Now , the common ratio of GP , r = 0.99
And , the number of terms in GP = 80
And , Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
On simplifying , we get
S₈₀ = 0.99 ( 1 - 0.99⁸⁰ ) ( 1 - 0.99 )
On further simplification , we get
S₈₀ = 0.7224
So , the sum of the GP is S = 1 - S₈₀ = 0.28
Hence , the sum of GP is 0.28
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Choose the property of addition. ( 5 + 3 ) + 8 = 5 + ( 3 + ? )
A. associate property of addition
B. Commutative property of addition
C. Distributive property
D. Identity property of addition
Answer:
A. associative property of addition
Step-by-step explanation:
Associative because you can add or multiply those regardless of how the numbers are grouped.
I hope this helped and have a good rest of your day!
Answer:
Associative Property of Addition
Step-by-step explanation:
This property states that the sum of 3 or more numbers stays the same, no matter how they are grouped.
Hope this helped. Have an awesome day!
What is the volume of a rectangular prism with the following dimensions?
h = 5 ft, w = 5 ft, l = 10 ft
20 ft 3
500 ft 3
250 ft 3
35 ft 3
Answer:
250
Step-by-step explanation:
V = LWH
5 * 5 * 10 = 250
Easy 5th grade math help me :>
Answer:
52
Step-by-step explanation:
Answer:
it is 52
Step-by-step explanation:
each number been add 4
32+4=36
36+4=40
40+4=44
44+4=48
48+4=52
What is 4 divided by 36
Answer:
1/9
Step-by-step explanation:
4/36
2/18
1/9
Answer:
0.1 going on forever
Step-by-step explanation:
the area of square PQRS is ____ square units.
Answer:
25 square units
Step-by-step explanation:
[tex]area \: of \: square = {5}^{2} = 25 \: {units}^{2} [/tex]
Answer: The first one is 5 and the next one is 25
Step-by-step explanation: Hope this helps and have a great day!
??????????????????????
Answer:
The answer you put is correct.
Step-by-step explanation:
It is B.
Answer:
[tex]882\pi[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius and h is the height of the cylinder. Therefore, the volume of this cylinder is [tex]\pi \cdot 7^2 \cdot 18=882\pi[/tex] cubic feet. Hope this helps!
What is the vertex of the graph of the function f(x) = x2 + 8x - 2 ?
(-4, 18)
(0, -2)
(-8, -2)
(-4, -18)
Answer: (-4,-18)
Step-by-step explanation: If you use desmos you can graph the equation to find the vertex.
The vertex of the graph of function f(x) = x² + 8x - 2 is (-4, -18)
What is the vertex of the graph of a quadratic function?In a quadratic function, the vertex of the graph refers to the highest or lowest possible outcome of the function. In a graph, the vertex is the highest or lowest point on the parabola,
Given that:
f(x) = x² + 8x - 2
where;
a = 1b = 8c = - 2By using the vertex formula to find the x-value;
[tex]\mathbf{x = \dfrac{-b}{2a}}[/tex]
[tex]\mathbf{x = \dfrac{-8}{2(1)}}[/tex]
x = -4
So,
y = (-4)² + 8(-4) - 2
y = 16 -32 -2
y = -18
Therefore, the vertex of the graph of function f(x) = x² + 8x - 2 is (-4, -18)
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Find the radius of Circle M, if the area of a sector is 36.07 cm^2 and the central angle of that sector is 58º. Round your answers to the hundredths place if necessary
Answer:
r = 5.97 cm
Step-by-step explanation:
The area of the sector is given by the following equation:
[tex]A = r*S = 2\pi*r^{2}*\frac{58}{360}[/tex]
Where:
r: is the radius
A: is the area
The radius is:
[tex]r = \sqrt{\frac{A}{2*\pi*58/360}} = \sqrt{\frac{36.07 cm^{2}}{2*\pi*58/360}} = 5.97 cm[/tex]
Therefore, the radius of Circle M is 5.97 cm.
I hope it helps you!
factor the polynomial-x^3-4x^2-5x
Answer:
(-x)(x^2 + 4x + 5)
Step-by-step explanation:
You have to factor out the -x from the rest of the expression.
A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes. The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts. What is the probability of randomly selecting an item with white or red on it?
A) 1/4 B) 3/10 C)1/2 D) 7/10
Answer:
its 7/10
Step-by-step explanation:
The probability of randomly selecting an item with white or red on it is 3/10.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes.
The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts.
The probability of randomly selecting an item with white or red on it is given by;
[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\[/tex]
Total items = 2 + 1 + 3 + 2 + 1 + 1 = 10 itens.
Substitute all the values in the formula
[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\\\\rm Probability=\dfrac{3}{10}\\\\[/tex]
Hence, the probability of randomly selecting an item with white or red on it is 3/10.
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Which of the following expressions could be used to find the sale price of an item that costs d dollars if it is on sale for 30% off?
Answer:
d-30%d
Step-by-step explanation:
What is the area of the kite? 20 36 40 80
Answer:
44
Step-by-step explanation:
20+36+40+80= 176
176/4= 44
Fernando factored 45y^6 as (9y^3)(5y^3).
Salma factored 45y as (3y)(15y^5).
Which of them factored 45y^6 correctly?
Answer:
They both factored it correctly
Step-by-step explanation:
To find the one that was factored correctly, we expand the two of them and compare with [tex]45y^6[/tex].
Fernando
[tex](9y^3)(5y^3)[/tex]
= [tex]9 * 5 * y^3 * y^3[/tex]
= [tex]45y^6[/tex]
Salma
[tex](3y)(15y^5)[/tex]
= [tex]3 * 15 * y * y^5[/tex]
= [tex]45y^6[/tex]
As we can see, they both factored it correctly.
Answer:
both are correct in their factoring
Step-by-step explanation:
On a coordinate plane, a line goes through (negative 4, 0) and (0, 2).
The graph of the equation y = 1
2
x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply.
y = 7x + 2
y = 3x + 5
y = 2 minus StartFraction 7 Over 3 EndFraction x
y – 2 = 4x
3y = –9x – 6
The answer is 1, 3, and 4 (i guessed and got it right)
Answer:
A C D
Step-by-step explanation:
Answer: 1, 3, and 4
Step-by-step explanation:
tickets for a concert have been in increadbibly high demand. and as the date for the concert draws closer the price of tickets increases exponentially. the cost of a pair of concert tickets was $96 yesterday and today it is $108.
what is the multiplier
what is the daily percent rate?
using the cost of a ticket today as your initial value write an exponential equation that models this situation
what will be the cost of a pair of concert tickets in one week from today
what was the cost of a pair of tickets three days ago?
Answer:
multiplier 1.125percent rate 12.5%p(t) = 108·1.125^tp(7) = $246.32p(-3) = $75.85Step-by-step explanation:
a) The daily multiplier is 108/96 = 1.125
b) The daily percentage change is 1.125 -1 = .125 = 12.5%
c) The function can be written as ...
price = (initial value)·(daily multiplier)^t
p = 108·1.125^t
d) for t=7, put the number in and do the arithmetic.
108·1.125^7 ≈ 246.32 . . . dollar cost in a week
e) same deal, for t=-3
108·1.125^-3 ≈ 75.85 . . . .dollar cost 3 days ago
What is the length of AC?
Answer:
2.96
Step-by-step explanation:
The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse. In this case:
[tex]\cos 65=\dfrac{x}{7}[/tex]
[tex]x=7\cdot \cos 65\approx 2.96[/tex]
Hope this helps!
help tahhtthshhhrdegragrsgrgr
Answer:
SA = 18.2 +12.2hSA = 67 yd²Step-by-step explanation:
The surface area of a rectangular prism is the sum of the areas of the six rectangular faces. Of course, opposite faces have the same area, so the formula can be written ...
SA = 2(LW +LH +WH) = 2(LW +H(L +W))
For your given values, this can be simplified to ...
SA = 2(2.6·3.5 +h(2.6 +3.5)) = 2(9.1 +6.1h)
SA = 18.2 +12.2h
__
For h=4, the surface area is ...
SA = 18.2 +12.2·4 = 18.2 +48.8
SA = 67 . . . yd²
T=2π√g/L, where g=18, L=2, π=3.14
Answer:18.84
Step-by-step explanation:
T=2π√(g/L) g=18 L=2 π=3.14
T=2 x 3.14 x √(18/2)
T=6.28 x √(9)
T=6.28 x 3
T=18.84
Lorelei tosses a coin 4 times. What is the probability of tossing four heads? Express as a percent. Round to the nearest tenth if necessary.
Answer:
6.2%
Step-by-step explanation:
For each time the coin is tossed, there are only two possible outcomes. Either it is heads, or it is not. The probability of a toss resulting in heads is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Fair coin:
Equally as likely to be heads or tails, so [tex]p = 0.5[/tex]
Lorelei tosses a coin 4 times.
This means that [tex]n = 4[/tex].
What is the probability of tossing four heads?
This is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.062[/tex]
0.062 = 6.2% probability of tossing four heads
what is the equation to the following sentence?
Seven subtracted from two times a number is 13
Answer:
4x-7>13
add 7
4x>20
divide by 4
x>5
Step-by-step explanation:
profit 75% retail $350. what is cost at wholesale
Answer:
Step-by-step explanation:
350-75%=87.5\\so 350-87.5\\=262.5\\$262.5 dolla profit\\
Is 56 inches less than 5 feet? PLEASE THIS IS AN EMERGENCY! 40 POINTS IF YOU ANSWER! :D
Answer:
5ft. = 60 in. so yes, 5 feet is more than 56 inches
Step-by-step explanation:
1 ft. = 12 in. , so 5ft. = 60 in.
Answer:
Yes! 56 inches is less than 5 feet
Step-by-step explanation:
5 feet is 60 inches, so 56 inches is less than 60 inches
HOPE THIS HELPS !
PLEASE GIVE BRAINIEST
Find the greatest common factor of the
following monomials:
34c3 2c5
Answer:2c^2
Step-by-step explanation:
34c^3 and 2c^5
34c^3=2 x 16 x c x c^2
2c^5=2 x c^2 x c^3
Greatest common factor =2 x c^2
Greatest common factor =2c^2
What’s the correct answer for this?
Answer:
6 units
Step-by-step explanation:
We find the distance by subtracting the "ends"
=-4-2= -6 (ignoring the negative)
We get
=6
1. 10(.15)=1.5
2. 10-1.5=8.5
3. 8.5 (.15)=1.275
4. 8.5-1.275=7.225
Keep going until you get number 5 and below 1
!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE MAN!
Answer:
6.14125(0.15) = 0.9211875 (below 1)
6.14125 - 0.92118 = 5.22007
Step-by-step explanation:
Given data
1. 10(.15)=1.5
2. 10-1.5=8.5
3. 8.5 (.15)=1.275
4. 8.5-1.275=7.225
continuation the sequence
5) 7.225 (0.15) = 1.08375
6) 7.225 - 1.08375 = 6.14125
7) 6.14125(0.15) = 0.9211875 (below -one)
8 ) 6.14125 - 0.9211875 = 5.2200625 (get number 5)
9) 5.2200625(0.15) = 0.783009
10) 5.2200625 - 0.783009 = 4.4370532
Find the arc length of the partial circle. with a radius of 1
Answer:
1/2π
Step-by-step explanation:
For khan, you HAVE to put the pi symbol. just type pi and itll work
Answer:
1/2 pi (Sorry i don't have the pi symbol)
Step-by-step explanation:
Bob wants to go to the movies with his friends. The movie theater charges $ 8 per ticket. Bob's friends reserve $ 48.00 worth of tickets in advance. How many people in total can attend the movie?
Help with steps if u love ur mama
Answer:
6 people can attend the movie with ticket worth of $ 48 if each ticket costs $ 8.
Step-by-step explanation:
1 ticket costs $ 8 then divide $ 48 to find how many tickets worth $8 are there.
[tex]48 \div 8 = 6[/tex]
1a. Find the set of possible and actual zeros according to the rational root theorem using f(x)=3x^3+13x^2+16x+4
1b. Zeros Multiplicity Cross/Turn
|____|_________|_________|
|____|_________|_________|
c. End Behavior:
d. Y-int:
e. Graph.
2. Divide using synthetic Division: x^4-6x^2-2/x-2
3. Diving Using Long Division: 3x^3+5x^2+4x+1/3x+2
4. Using synthetic division and the remainder theorem to find P(c) if P(x)=4x^3+6x^2+4x+3 and c=-1
5. Use synthetic division and the given factor to completely factor each polynomial function and find the zeros: y=x^3+6x^2+3x-10;(x-1)
Factored Form:
Zeros:
Answer:.....
Step-by-step explanation:
......
Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?
46 minus 20 less-than 2 j
2 j minus 20 less-than-or-equal-to 46
46 minus 20 less-than-or-equal-to 2 j
2 j minus 20 greater-than-or-equal-to 46
Answer:
2j -20 ≤ 46
Step-by-step explanation:
"20 less than double the number Jason [hit]" can be represented by 2j-20.
We are told that 46 is no fewer than this value, so it is greater than or equal to this value:
46 ≥ 2j -20
2j -20 ≤ 46 . . . . . swapping sides to match answer choices
Answer:
2j -20 ≤ 46
Step-by-step explanation:
A rhombus has side lengths of 25. What could be the lengths of the diagonals?
A. 22 and 40
B. 26 and 36
C. 26 and 48
D. 30 and 40
Answer:
The correct option is;
D. 30 and 40
Step-by-step explanation:
Here, we have that the rhombus is a quadrilateral with equal and parallel sides hence the length of the diagonals will be
2 × 25×sinθ and 2 × 25× cosθ
Therefore tanθ = (2 × 25×sinθ)/(2 × 25× cosθ) = (sinθ)/(cosθ)
Therefore, the root of the sum squares of both diagonals = 50
Therefore, we analyze each of the options as follows
For A. we have √(22² + 40²) = 45.65 ≠ 50 therefore these are not the length of diagonals of the rhombus in question
For B. we have √(26² + 36²) = 44.41 ≠ 50 therefore these are not the length of diagonals of the rhombus in question
For C. we have √(26² + 48²) = 55.59 ≠ 50 therefore these are not the length of diagonals of the rhombus in question
For D. we have √(30² + 40²) = 50 therefore these are possible lengths of diagonals of the rhombus in question.
