Creating and solving formulas for geometric series:mastery test
Which expression gives the same results as...
Answers
Answer:
D. [tex]y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}[/tex]
Step-by-step explanation:
Let be [tex]y = \Sigma_{i = 0}^{4} \left[5\cdot \left(\frac{1}{3} \right)^{i}\right][/tex]. To find the equivalent expression we must use the following property:
[tex]y = c\cdot \Sigma_{i = 0}^{n} p(x) = \Sigma_{i=0}^{n} [c\cdot p(x)][/tex] (1)
Based on this fact, we find the following equivalence:
[tex]y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}[/tex]
Hence, the correct answer is D.
Related Questions
What is the median Value of the data sat shown on the line plot?
Answers
Answer:
6 is the median of the data set.
Step-by-step explanation:
First, write all the numbers out.
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11
Next, highlight the one that is in the middle.
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11
If you have an even amount of numbers, or two numbers in the middle you have to find the mean between those numbers but because they are both 6 the median is still 6.
Have a wonderful day! :)
True or False: A square is a specific type of parallelogram?
Answers
25. Which of the following is equivalent to: 7 2 x 7-4
Answers
Answer:
It's D or 1/7^2
[tex]\frac{1}{7^{2} }[/tex]
Step-by-step explanation:
They both equal 1/49
Derek conducts a probability experiment for his mathematics class. he uses the ten cards shown below.
Derek randomly picks one of the ten cards from a container, looks at the color, and replaces the card. he repeats this 100 times. how many times would you expect derek to pick up a white card.
Answers
Answer:
24 times he could pick a White car
Step-by-step explanation:
8. In Jack's class, 18 of the students are tall and 10 ere short in Michael
class, 54, students are tall and 30 are short which class has a
higher ratio of tall to short students.
Answers
Answer:
both class have the same ratio
Step-by-step explanation:
You can further prove this by multiplying 18 times 3 and getting 54, and 10 times 3 and getting 30.
Pls helpppppppppppppppppppppppppppp
Answers
Answer:
c
Step-by-step explanation: i did the test
Find GH. Round to the nearest hundredth
Answers
Answer:
B
Step-by-step explanation:
32.08.
ffgyygyyuuidhyeyytttttrdcgrfhhtuhggi
Answer:
bit.^{} ly/3gVQKw3
Step-by-step explanation:
bit.^{} ly/3gVQKw3
Solve.
3n + 14 = -4
n = 6
n = -6
n = 3 1/3
n = -3 1/3
Answers
Answer:
n = -6
Step-by-step explanation:
3n + 14 = -4
3n = -14 -4
n = -18 / 3
n = -6
A collection of nickels, dimes, and quarters consist of 16 coins with a total of $1.90. If the number of dimes is equal to the number of nickels, find the number of each type of coins.
Answers
Answer:
There would be 6 nickels, 6 dimes, and 4 quarters.
Use Euler's formula to find the missing number.
Vertices: 23
Edges: 39
Faces: ?
A. 12
B. 14
C. 16
D. 18
Answers
Answer: D. 18
Step-by-step explanation:
Euler's formula is Faces + Vertices = Edges + 2
Faces = Edges - vertices + 2
Faces = 39-23 + 2 = 18
Euler's formula is given by the formula F + V = E + 2. The number of faces in the given object is 18.
What is Euler's Formula?Euler's formula is given by the formula F + V = E + 2, in which F is the number of faces, V is the number of vertices, and E is the number of edges. For instance, a cube fits this formula since it has 6 faces, 8 vertices, and 12 edges.
The number of vertices and edges in the object is 23 and 39, respectively. Therefore, using Euler's formula the number of faces can be written as,
F + V = E + 2
F + 23 = 39 + 2
F = 39 + 2 - 23
F = 18
Hence, the number of faces in the given object is 18.
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Convert 1.56 grams of potassium to atoms.
Answers
Answer:
2.40 x 10^22
Step-by-step explanation:
2x - y = 5
x + 3y = 7
What is the value of the system determinant?
A.) 5
B.) 6
C.) 7
Answers
9514 1404 393
Answer:
C) 7
Step-by-step explanation:
The determinant is the difference of the cross products of the coefficients.
D = (2)(3) -(1)(-1) = 6 +1 = 7
The system determinant is 7.
Answer:
C.) 7Step-by-step explanation:
#CarryOnLearningSelect the correct answer.
Based on the end behavior of the graph, which polynomial function is graphed here?
1
-2
--3
OA. 1x)=34 - 6x2 - 2x +x+3
OB. RX) =-3x2 -27 +3+3
OC 1x) = 34 - 6x2 - 2x2 + x+3
OD. Ax) = 3x3 - 237 ++3
Answers
Answer:
A
Step-by-step explanation:
nsjjdhdhduduyf if ueuheueuheehdhufgrueueuududuududududuss
Nafeli is taking a multiple-choice exam with 10 questions and 3 choices per question. For eachquestion, there are two equally likely possibilities, independent of other questions. In the firstpossibility, she knows the answer, in which case she answers the question correctly. In the secondpossibility, she guesses the answer with probability of success 1/3.1. Given that Nafeli answered correctly the first question, what is the probability that she knewthe answer to that question
Answers
Answer:
0.75 = 75% probability that she knewthe answer to that question
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Answered correctly.
Event B: Knew the answer.
Probability of answering correctly:
0.5(knows the answer)
1/3 of 1 - 0.5 = 0.5(didn't know but guessed correctly). So
[tex]P(A) = 0.5 + 0.5\frac{1}{3} = 0.6667[/tex]
Probability of answering correctly and knowing the answer:
0.5, which means that [tex]P(A \cap B) = 0.5[/tex].
What is the probability that she knew the answer to that question?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.6667} = 0.75[/tex]
0.75 = 75% probability that she knewthe answer to that question
Mr.James bought 3 boxes of pencils for 34.89. Each box of pencils cost the same which equation can be used to find the cost ,c of each box
Answers
$34.89= 3xc
225 /800
Matemáticas
Answers
Answer:
0.28125
Step-by-step explanation:
That is the answer that I got. I think you are dividing
PLZ HELP ME WITH THIS I DON'T UNDERSTAND IT THANK YOU:)
You can register a pickup truck as a passenger vehicle if the truck is not used for commercial purposes and the weight of the truck with its contents does not exceed 8500 pounds.
a. Your pickup truck weighs 4200 pounds. Select an inequality that represents the number x of pounds your truck can carry and still qualify as a passenger vehicle. Then solve the inequality.
4200+x≤8500
x−4200≤8500
8500≥4200−x
8500≤x+4200
Question 2
The solution is
.
Question 3
b. A cubic yard of sand weighs about 1600 pounds. How many cubic yards of sand can you haul in your truck and still qualify as a passenger vehicle? Write your answer as a decimal. Do not round your answer.
You can haul at most
cubic yards of sand.
Answers
Answer:
a) 4200+x≤8500
_____________
x ≤ 4300
________________
b) 2.6875 or 2 ¹¹⁄₁₆ cubic yards.
__________________
4300 / 1600 = 2 ¹¹⁄₁₆ = 2.6875
QUICK PLZ really need help plz help
Answers
please solve it CORRECTLY step by step asap
Answers
Answer:
[tex]Product = \frac{3}{5}ab[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{7}a[/tex]
[tex]-\frac{21}{15}b[/tex]
Required
The product
The product is:
[tex]Product = -\frac{3}{7}a * -\frac{21}{15}b[/tex]'
Cancel out the negative signs
[tex]Product = \frac{3}{7}a * \frac{21}{15}b[/tex]
Simplify fractions
[tex]Product = \frac{1}{7}a * \frac{21}{5}b[/tex]
[tex]Product = \frac{1}{1}a * \frac{3}{5}b[/tex]
[tex]Product = \frac{3}{5}ab[/tex]
Question 1
1 pts
Natasha measured the lengths of all four sides of the top of her rectangular computer
table and added the measurements together. What does her sum represent?
Answers
Answer:
The sum represents the perimeter
Step-by-step explanation:
Perimeter is he distance around a two dimensional shape
Zayan is putting ribbon around a picture of her dog. The picture is 300 millimeters wide and 150 millimeters tall. How many meters of ribbon will she need?
Answers
Answer:
150mm*300mm is equal to 45000mm and 1m is equal to 1000mm therefore 45000mm/1000 is equal to 45m
Step-by-step explanation:
she need 45 m ribbon to put around dog picture
True or False: This set of points represents a function {(2,9), (0,5), (1,7)}.
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
As long as the set of points have different x values then it is considered to be a function
The given set of points all have different x values therefore it is a function
The Johnsons spent a total of $69.96 for dinner at their favorite restaurant last night. If this cost included a 20% tip, how much did the dinner cost before tip?
Answers
To find this you find what 20% of 69.96 is and subtract that number from 69.96 (in this case that number would be 13.99) So you would find your answer of 55.97
The cost of dinner before giving the tip which is 20% of the cost of dinner will be $58.3.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The Johnsons spent a total of $69.96 for dinner at their favorite restaurant last night. If this cost included a 20% tip.
Let 'x' be the cost of dinner. Then the cost of the tip is given as,
Cost tip = 20% of x
Cost tip = 0.20 x
Then the equation is given as,
x + 0.20 x = $69.96
1.20 x = $69.96
x = $58.3
The cost of dinner before giving the tip which is 20% of the cost of dinner will be $58.3.
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A ____ prism has two congruent, parallel bases and three lateral sides.
a.) triangle
b.) pentagon
c.) rectangle
Answers
Me and Skid believe the awnser is A, Triangle!
A triangular prism has two congruent, parallel bases and three lateral sides.
What is a prism?
A prism is a polyhedron that has two n-sided bases and n number of lateral sides. Those two bases are exactly the same.
A pentagon and a rectangle are two dimensional figures. Hence, there are neither parallel bases nor lateral sides. Whereas a prism is a three dimensional figure consists of two congruent, parallel bases and three lateral sides.
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Help it’s due in 10 mind
Answers
2.) Write a verbal expression that
represents the algebraic expression.
m/12
Answers
Answer:
A number divided by twelve
Step-by-step explanation:
One cup of popcorn kernels makes four cups of popped corn. There are eight cups of kernels in a bag. How many cups of popped corn will one bag of kernels make?
Answers
Answer:
32
Step-by-step explanation:
so because there is 1 cup of kernels which makes 4 cups of pop corn and there are 8 cups of crenels you would multiply 8 and 4.
write 22/4 as a mixed number in its simplest form
[tex] \frac{22}{4} [/tex]
Answers
I think this is right
Answer is 5 1/2
Explanation:
22/4=5.5
Round=
4 2/3
Which of the following is the domain
of the given relation?
{(-6, 3), (-4, 5), (0, 0)
A {0. -4,-6)
B {0. 3. 5)
C {3, 4, 0}
D {-6 -4,5)
Answers
Answer:
[tex]A.[/tex]
[tex]Domain = \{-6,-4,0\}[/tex]
Step-by-step explanation:
Given
[tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]
Required
The domain
A function is represented as:
[tex]\{(x_1,y_1), (x_2,y_2), ....... (x_n,y_n)\}[/tex]
Where the domain is: [tex](x_1,x_2,....,x_n)[/tex]
So, in [tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]
The domain is:
[tex]Domain = \{-6,-4,0\}[/tex]
Which of the following is a graph of y < x + 3?