Answer:
A) 0.8
Step-by-step explanation:
0.8 on edge.
The value of r of the geometric series is 4/5.
What is geometric series?
The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
Given the formula for the geometric series expressed as
[tex]_3\\\sum{1.3(0.8)^n^-^1}\\n=1[/tex]
Comparing both equations
rⁿ⁻¹ = (0.8)ⁿ⁻¹
r = 0.8
r = 8/10
r = 4/5
Hence, the common ratio is 4/5.
Learn more about geometric series here:
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If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all
Answer: There are 123 pieces in total.
Step-by-step explanation: If you have forty-one pencils, and each has three pieces of lead, you multiple forty-one by three.
Total lead = 41 * 3
Total lead = 123 pieces
What is the value of x? (5 points)
A right angle is shown divided into two parts. The measure of one part of the right angle is 10 degrees. The measure of the other part is 2x
Write an equation of the line that passes through the given points. (−3, 5), (0, −1)
Answer:
Step-by-step explanation:
(-1 - 5)/(0 + 3)= -6/3 = -2
y - 5 = -2(x + 3)
y - 5 = -2x - 6
y = -2x - 1
Consider 4 flips of an unfair coin where probability of heads is 0.40. Consider all tosses independent of each other. (a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses. (b) Determine the probability of H T H T in 4 tosses. (c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)
Answer:
a) 0.0256 = 2.56% probability of 4 heads.
0.1296 = 12.96% probability of 4 tails.
b) The probability is 0.0576 = 5.76%.
c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses
Step-by-step explanation:
For each throw, we have these following probabilities:
0.4 = 40% probability of heads.
0.6 = 60% probability of tails.
(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.
4 heads:
4 throws, each with 0.4 probability of heads. So
[tex](0.4)^4 = 0.0256[/tex]
0.0256 = 2.56% probability of 4 heads.
4 tails:
4 throws, each with 0.6 probability of tails. So
[tex](0.6)^4 = 0.1296[/tex]
0.1296 = 12.96% probability of 4 tails.
(b) Determine the probability of H T H T in 4 tosses.
H = 0.4, T = 0.6. So
[tex]p = 0.4*0.6*0.4*0.6 = 0.0576[/tex]
The probability is 0.0576 = 5.76%.
(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)
Number of outcomes:
The possible outcomes are:
H - H - T - T
H - T - H - T
H - T - T - H
T - H - H - T
T - H - T - H
T - T - H - H
6 outcomes given 2 heads in 4 tosses.
Each with probability 0.0576, as found in b)
6*0.0576 = 0.3456
0.3456 = 34.56% probability of 2 heads in 4 tosses
a quadrilateral with two sets of parallel sides
Answer:
square or rectangle
Step-by-step explanation:
The mathematical model C = 800x + 100,000 represents the cost in dollars a company has in manufacturing x items during a month. How many items were produced if costs reached $580,000?
O A 579,200 items
OB 600 items
OC. 850 items
Hank cut his pizzainto 10 pieces and ate 6 of the pieces.Rose cut her pizza into 5 pieces and ate the same amount as hankShow this on a drawing
Answer:
well you would have to draw two pizzas or circles
Step-by-step explanation:
what you would to is draw lines to separate one of them into 10 peices and the other one into 5. You can shade in the 6 peices Hank ate and then shade the same amount of pizza on Roses. Hope this helped!
write an expression for the operation described below subtract v from 2
Answer:
2 - v
Easy method: plug in v with some other number and see how it rolls out
Answer:
Hi how are you doing today Jasmine
3r^2 if r = 1/6 can someone help me please.
Answer:
Step-by-step explanation:
Answer:
f = 1/18ir^3
Step-by-step explanation:
Let's solve for f.
3r2ifr=1/6
Step 1: Divide both sides by 3ir^3.
3fir3/3ir3 =1/6/3ir3
f=1/18ir3
Find the polynomial of least degree in standard form with the given roots:
x = 2, 3i
Answer:
x^3 - 2x^2 + 9x - 18.
Step-by-step explanation:
The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.
So we have:
P(x) = (x - 2)(x - 3i)(x + 3i)
= (x - 2)(x^2 - 9i^2)
= (x - 2)(x^2 - 9*-1)
= (x - 2)(x^2 + 9)
= x^3 + 9x - 2x^2 - 18
= x^3 - 2x^2 + 9x - 18.
Chicken costs $3.20 per pound, and beef costs $4.59 per pound. What is the exact cost of 3 pounds of chicken?
Answer:
$9.60
Step-by-step explanation:
3.20x3=9.60
The seventh-grade students at Alaniz Middle School went on a field trip. At lunch
17 students drank lemonade. This represented 20% of the students on the field
trip. How many Students were on the field trip?
Answer:
85 students
Step-by-step explanation:
If 17 = 20%
It means is the fifth part of 100%
Because 20% * 5 = 100%
With that logic if we multiply the amount of students by 5 we will get the total of students.
17*5= 85
Hope it was helpful ;)
Solve the equation
-7=y/7
Answer:
y=-49
Step-by-step explanation:
A savings account increases from $150 to $159. What is the percent increase of the savings account?
Answer:
6%
Step-by-step explanation:
it increased by 9/150 = 0.06 = 6%
What was Dakota’s height?
Answer:Um her height is 5′ 4″
Step-by-step explanation:
what does the denominator of 3/2 mean?
Hello!
The denominator is like the number under the line. So in this case, 2 would be the denominator.
~Sophia
please help. I can't find answer.
Answer:
-1,5
Step-by-step explanation:
1/4x=3/2 last one pleasee i need helpp
Answer:
x = 6
Step-by-step explanation:
Instructions? I'm assuming you were asked to "solve for x."
To eliminate fractions, multiply both sides by 4. This results in x = 6.
The function f is defined by the following rule.
Find f(x) for each x-value in the table.
Answer:
x y
-2 36
-1 6
0 1
1 1/6
2 1/36
Step-by-step explanation:
Given
[tex]f(x) = (\frac{1}{6})^x[/tex]
Required
Complete the table
When x = -2.
Substitute -2 for
[tex]f(-2) = (\frac{1}{6})^{-2[/tex]
[tex]f(-2) = 1/\frac{1}{36}[/tex]
[tex]f(-2) = 36[/tex]
When x = -1
[tex]f(-1) = (\frac{1}{6})^{-1[/tex]
[tex]f(-1) = 1/\frac{1}{6}[/tex]
[tex]f(-1) = 6[/tex]
When x = 0
[tex]f(0) = \frac{1}{6}^0[/tex]
[tex]f(0) = 1[/tex]
When x = 1
[tex]f(1) = \frac{1}{6}^1[/tex]
[tex]f(1) = \frac{1}{6}[/tex]
When x = 2
[tex]f(2) = \frac{1}{6}^2[/tex]
[tex]f(2) = \frac{1}{36}[/tex]
Morgan’s books sold 660 bookmarks last year, in comparison to 528 bookmarks this year. What is the percent of decrease in the number of bookmarks sold annually
Answer:
A 20% decrease I believe
Step-by-step explanation:
So, you subtract 660-528 which is 132. You then divide that by 660 and you get 0.2 or 20%
I just learnt this in math today so I hope it helps you and I hope it's correct :>
If the radius of a circle is 3.5 cm, what is the diameter?
Answer:
7
Step-by-step explanation:
The diameter is twice the radius, and 2(3.5) = 7.
A car rental agency advertised renting. a car for $24.95 per day and $0.27 per mile. If Brad rents this car for 4 days, how many whole miles can he drive on a $200 budget?
Answer:
Around 370 when rounded
Step-by-step explanation:
ok so we know that for one day rental cost 24.95 and 0.27 per mile.
Brad has a budget of 200 and wants to rent a car for 4 days and wants to know how many miles he can drive with his budget.
First off you have to mulitply 24.95(which is how much the rental cost per day) by 4. 24.95 x 4=99.8 so out of his 200 dollars he now has 100 budget for miles.
Next we are going to divide the 100 dollars left out of the budget by the cost per mile which is 0.27. 100/0.27=370 when rounded.
Answer:
Step-by-step explanation:
what is the quotient of x^3+11x^2+26x+16÷x+1
Answer:
x²+x+1
Step-by-step explanation:
I think you mean (x^3 + 11x^2 + 26x + 16)÷(x+1). The parentheses make a difference.
The easiest method is synthetic division.
In 2007, a city has a population of 270.000 people. Each year since, the population has grown by 1.7%.
Lett be the number of years since 2007. Let y be the city's population.
Write an exponential function showing the relationship between y and t.
What slope is perpendicular to m=4/5
Step-by-step explanation:
a perpendicular slope is the negative reciprocal
so the perpendicular slope is -5/4
Answer:
m = -5/4
Step-by-step explanation:
Perpendicular slope is the negative opposite reciprocal of a slope.
In addition to his hourly rate, Mr. Smith is paid $2.20 for each watch he fixes. Write an expression for his income if he fixes r watches per hour?9.5 is hourly rate.
Step-by-step explanation:
y = hourly income
r = number of watches fixed
equation: y = 2.20r + 9.5
I need help with this I roll mark you if right
Answer:
That would be A my good Sir (or ma'am).
Step-by-step explanation:
A triangle has a total of 180 degrees in it , however we already know one side is 45, so we can add that to the solution, we also know that 2 sides are the exact same, so therefore, we will be multiplying our unknown value ( x = 67.5 btw, not so unknown) by 2, and you will always get 180 degrees, thats how you check your answer, also if you sbutract 45 from 180 and divide the product by 2 you will get the value of x ( which is 67.5).
Thats It Helps It Helps!
An artist wants to make a particular teal color paint by mixing a 75% blue hue and 25% yellow hue. He mixes a blue hue that has 85% pure blue pigment and a yellow hue that has 60% of pure yellow pigment. What is the percent of pure pigment that is in the resulting teal color paint?
PLS HELP GIVING BRAILESS TO FIRST PERSON PLS HELP ASAP
Math PLEASE HELP IM SO CONFUSED IM ATTACHING THE SLIDES!!!!
Answer:
x = 19, TS = 22Step-by-step explanation:
Use ratios to solve for x. Corresponding sides have same ratio.Q1
(x + 5)/30 = (36 - 20)/20(x + 5)/30 = 16/20 = 4/55(x + 5) = 4(30)5x + 25 = 1205x = 95x = 19Q2
(5x - 2)/(3x + 1) = 39/26(5x - 2)/(3x + 1) = 3/22(5x - 2) = 3(3x + 1)10x - 4 = 9x + 310x - 9x = 3 + 4x = 7TS = 3x + 1 = 3(7) + 1 = 22