Answer: The answer for the question is: 1 5/8
Step-by-step explanation:
Which equation represents the partial sum of the geometric series? mc006-1. Jpg 125 25 5 1 25 5 1 one-fifth 1 one-fifth StartFraction 1 Over 25 EndFraction StartFraction 1 Over 125 EndFraction StartFraction 1 Over 125 EndFraction one-fifth 5 125.
The equation that represents the partial sum of the geometric series is 125, 25, 5, 1
Given the partial sum of a geometric sequence expressed as:
[tex]\sum\left { n=4 \atop {n=1}} \right. 125(\frac{1}{5} )^{n-1}[/tex]
If n = 1, the
a(1) = [tex]125(\frac{1}{5} )^{1-1}\\[/tex]
a(1) = [tex]125(\frac{1}{5} )^{0}\\[/tex]
a(1) = 125
If n = 2
a(2) = [tex]125(\frac{1}{5} )^{2-1}\\[/tex]
a(2) = [tex]125(\frac{1}{5} )^{1}\\[/tex]
a(2) = 25
If n = 3
a(3)= [tex]125(\frac{1}{5} )^{3-1}\\[/tex]
a(3) = [tex]125(\frac{1}{5} )^{2}\\[/tex]
a(3) = 5
If n = 4
a(4)= [tex]125(\frac{1}{5} )^{4-1}\\[/tex]
a(4) = [tex]125(\frac{1}{5} )^{3}\\[/tex]
a(4) = 1
Hence the equation that represents the partial sum of the geometric series is 125, 25, 5, 1
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Answer:
a
Step-by-step explanation:
Given that 2x - 45=7y and 3x=15, what is the value of y+2?
-
Answer:
the value of y+2 is 21+2=24y
Solve the system of linear equations y= 2x -3Y= x + 6
Answer:
x=9, y=15. (9, 15).
Step-by-step explanation:
y=2x-3
y=x+6
----------
2x-3=x+6
2x-x-3=6
x-3=6
x=6+3
x=9
y=9+6=15
Use your knowledge of isosceles and equilateral triangle‘s to find the requested information.
Find m
Answer:
48 degrees
Step-by-step explanation:
6y=8y-16
y=8
8(8)-16= ?
64-16=
Answer:
∠ P = 48°
Step-by-step explanation:
Since NM = PM then the triangle is isosceles with base angles being congruent, then
∠ P = ∠ N , that is
8y - 16 = 6y ( subtract 6y from both sides )
2y - 16 = 0 ( add 16 to both sides )
2y = 16 ( divide both sides by 2 )
y = 8
Then
∠ P = 8y - 16 = 8(8) - 16 = 64 - 16 = 48°
Which property should Remus use to solve the equation below? 7 q = 49 division property of equality addition property of equality subtraction property of equality identity property of equality.
Answer:
Division Property
Step-by-step explanation:
He needs to divide both sides by 7 to find the value of q
The division property of equality should Remus used to solve the given equation and this can be determined by using the given data.
Given :
Equation is [tex]7q = 49[/tex].
The following steps can be used in order to determine the property that Remus use to solve the given equation:
Step 1 - Write the given equation.
[tex]7q = 49[/tex]
Step 2 - The arithmetic operations can be used in order to evaluate the given equation.
Step 3 - Using the division property of equality the value of 'q' can be determined.
[tex]q = \dfrac{49}{7}[/tex]
[tex]q = 7[/tex]
Therefore, the correct option is A).
For more information, refer to the link given below:
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please help me with this
Answer:
MN=9.1 cm
LM= 9.9 cm
Step-by-step explanation:
1. Reduce the ratio to the simplest form:
a)5:10=_____.
b)60:54=____.
Answer:
1:2 by division of 5
10:9 by division of 6
10. Mrs. Taylor wants to lay new carpet in the entrance and hallway of her home as shown below. The carpet she selected sells for $2.50 a square foot. How much will it cost to lay the carpet in the entrance and hallway?
Answer 75-82 pls it would be amazing!!!!!
Answer:
75-82=-7
Step-by-step explanation:
e
Veronica tried to solve an equation step by step.
8 = y - 4.6
8 + 4.6 = y - 4.6 +4.6 Step one
12.6 = y step two
Which step is wrong or are no steps wrong?
evaluate the expression when p = 4. p^2+5 no links pls
Answer:
21
Step-by-step explanation:
when p is 4
p² + 5 = 4² + 5
16 + 5 = 21
1. Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)2. Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)please help with atleast one problem i need help asap
Answer:
Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)
y = x - 1
Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)
y = 4x + 9
Step-by-step explanation:
Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)
y = mx + b
if slope is 1, m= 1
y = x + b
if passing through (0,-1), then y = -1, x = 0
-1 = (0) + b
b = -1
then
y = x - 1
Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)
y = mx + b
if slope is 4, m= 4
y = 4x + b
if passing through (0,-1), then y = 1, x = -2
1 = 4(-2) + b
b = 9
then
y = 4x + 9
what is 174 divided by 74
Answer:
2.35
Step-by-step explanation:
Answer:
2.35
Step-by-step explanation:
I hope this helps you!
1/3(1/6 + 5/12) - 1/36
Answer:
1/6
Step-by-step explanation:
Apply the distributive property.
1/3 x 1/6 = 2/36
1/3 x 5/12 = 5/36
Add the products.
2/36 + 5/36 = 7/36
Subtract the result by the 1/36.
7/36 - 1/36 = 6/36
Simplify the fraction.
6/36 = 1/6
-hope it helps
Mrs. Jerry wants her twenty-five students to each have forty-eight buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are fifteen buttons in each bag. How many bags of buttons does Mrs. Jerry need to buy so she has exactly enough buttons for her twenty-five students? Show all your mathematical thinking.
Answer:
25X48=1200 buttons in all
1200 divided by 15 = 80
She needs to buy 80 bags which totals 1200 buttons
Step-by-step explanation:
Which quantity of fruit contains an amount of vitamin C closest to the combined
amount of vitamin C in 50 g grams of acerola cherries and 150 g grams of
kiwifruit?
A. 2,000 g grams of black currants
B. 800 g grams of guava
C. 1,800 g grams of pineapple
D. 600 g grams of strawberries
Answer:
c would be the closest due to the total amount of vitamin c in the objects.
The quantity of fruit which contains an amount of vitamin C closest to the combined content is: C. 1,800 g grams of pineapple.
How to calculate the amount of vitamin.In this exercise, we would determine the amount of vitamin C that is present in a combination of 50 grams of acerola cherries and 150 grams of kiwifruit.
For acerola cherries:
100 grams of acerola cherries = 1678 mg.
50 grams of acerola cherries = X mg.
Cross-mutiplying, we have:
X = 83,900/100 = 839 mg.
For kiwifruit:
100 grams of kiwifruit = 105 mg.
150 grams of kiwifruit = Y mg.
Cross-mutiplying, we have:
Y = 15,750/100 = 157.5 mg.
Combine vitamins = 157.5 + 839 = 996.5 mg.
Based on intuition, we would choose 1,800 grams of pineapple.
100 grams of pineapple = 56 mg
1,800 grams of pineapple = Z mg.
Cross-mutiplying, we have:
Z = 100,800/100 = 1008 mg.
Thus, 996.5 mg of vitamin C is closest to 1008 mg.
Note: If you do the above computations for other quantities of fruit, you'll get a value far from 996.5 mg.
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If A = 2x – y + 3xy, B = x + 2xy and C = 3y + xy, find the value of A + B + C
[tex]A+B+C\\\\=(2x-y+3xy)+(x+2xy) +(3y+xy)\\\\=3x+2y+6xy[/tex]
The value of the expression A + B + C is equal to 3x - 2y + 4xy.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Are three expressions A = 2x - y + 3xy, B = x + 2xy and C = 3y + xy.
Now, A + B + C is equal to the sum of their values which is,
= (2x - y + 3xy) + (x + 2xy) + (3y + xy).
Now, we'll combine the like terms,
= 2x + x - y + 3y + 3xy + xy.
= 3x - 2y + 4xy.
So, The value of the expression A + B + C is equal to 3x - 2y + 4xy.
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Please help WILL MARK BRAINLIST!!!!
Answer:
22
Step-by-step explanation:
2x+x-2=2x+9
3x-2=2x+9
x-2=9
x=11
MN=2x
MN=2(11)
MN=22
13. A new bank customer with $5,000 wants to open a money market account. The bank is
offering a simple interest rate of 1.3%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
2 POINTS
Answer:
a) 900 dollars
b) 5900 dollars
Step-by-step explanation:
The complete question is
A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?
Identify an example of a pair of skew line from the box below
Answer:
AB, CD
Step-by-step explanation:
Skew lines do not lie in the same plane, and do not intersect. One such pair is AB and CD.
__
Additional comment
Any of the lines, and any of the lines that intersect its diagonally-opposite edge will be skew lines.
For example, the opposite edge to line BC is line EG. Lines that intersect EG are ED, EF, GA, GH. All of those four lines are skew with respect to line BC.
Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether. Also, she must buy no less than 2 hotdogs. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
A possible solution to the inequality is 2 hotdogs and 8 tacos.
Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.
Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.
Hence:
4x + 2y ≤ 30 (1)
x + y ≥ 9 (2)
Also:
x ≥ 2 (3)
A possible solution to the inequality is 2 hotdogs and 8 tacos.
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State the y-coordinate of the yintercept for the function below.
f(x) = 4x^3-12x^2-x+15
Answer:
15
Step-by-step explanation:
let y = f(x)
substitute x = 0
y = 4(0)^3-12(0)^2-(0)+15 = 15
Can i get some help :
Answer:
b = [tex]\frac{7}{12}[/tex]
Step-by-step explanation:
b + [tex]\frac{2}{3}[/tex] = 1 [tex]\frac{1}{4}[/tex] ← change to an improper fraction
b + [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{4}[/tex]
Multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
12b + 8 = 15 ( subtract 8 from both sides )
12b = 7 ( divide both sides by 12 )
b = [tex]\frac{7}{12}[/tex]
Answer:
The value of b is 7/12.
Step-by-step explanation:
Question :
Solve for b.
[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Enter your answer as a fraction in simplest form in the box.
[tex]\implies{\sf{b = \square}}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
Solution :
[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Converting the mixed fractions into improper fraction.
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(4)+ 1}{4}}}}[/tex]
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{4+ 1}{4}}}}[/tex]
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]
Now, transporting LHS to RHS.
[tex]{\implies{\sf{b= \dfrac{5}{4} - \dfrac{2}{3}}}}[/tex]
Taking LCM of denominators and subtracting.
[tex]{\implies{\sf{b= \dfrac{(5 \times 3) - (2 \times 4)}{12}}}}[/tex]
[tex]{\implies{\sf{b= \dfrac{(15) - (8)}{12}}}}[/tex]
[tex]{\implies{\sf{b= \dfrac{15 - 8}{12}}}}[/tex]
[tex]{\implies{\sf{b= \dfrac{7}{12}}}}[/tex]
[tex]{\star{\red{\underline{\boxed{\sf{b= \dfrac{7}{12}}}}}}}[/tex]
Hence, the value of b is 7/12.
[tex]\begin{gathered}\end{gathered}[/tex]
Verification :
[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Substituting the value of (b=7/12)
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Converting mixed fractions into improper fraction
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(4) + 1}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{4 + 1}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]
Taking LCM of denominators in LHS and adding.
[tex]{\implies{\sf{ \dfrac{(7 \times 1) + (2 \times 4)}{12} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{(7) + (8)}{12} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7 + 8}{12} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{15}{12} = \dfrac{5}{4}}}}[/tex]
Cutting the fraction to simplest form.
[tex]{\implies{\sf{ \cancel{\dfrac{15}{12}} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{5}{4}= \dfrac{5}{4}}}}[/tex]
[tex]{\star{\red{\underline{\boxed{\sf{LHS = RHS}}}}}}[/tex]
Hence Verified!
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
6) A square has an area of 50.4 in? What is its side length (rounded to the nearest whole inch)?
Answer:
7inches.
Step-by-step explanation:
the properties of a square is that it has the same length and width (and height. but height isn't needed here).
since the area is 50.4 inch^2, square root this value,
[tex]\sqrt{50.4}[/tex]=7inches.
Marhannah must make a costume for the school play. She needs a piece of fabric that’s is 8/3 yards long and 3/2 yards wide. What is the area of the piece of fabric Marhannah needs?
Answer:
Our material is 54" wide. Here is a helpful chart to help you quickly convert linear yards into inches and feet.
How big is one linear yard of fabric?
Yards Length Width
3 108 Inches (9 Feet) 54 Inches (4.5 Feet)
4 144 Inches (12 Feet) 54 Inches (4.5 Feet)
Step-by-step explanation:
C A R R Y
O N
L E A R N I N G
1)
Which of the following is not a linear equation in one variable?
(a) 32+5 = 0 (b) 3(x+y) = 0 (c) 3x+5 = 0 (d) 3y+5 = 0
Answer:
letter c is the answer
Step-by-step explanation:
hope it helps you
Answer:
The answer is Option C.) 3x+5 = 0
Step-by-step explanation:
Option A, can't be the answer. It doesn't show a linear graph. Therefore it's incorrect.
Option B, can't be the answer. It doesn't show a linear graph either. This one is also incorrect.
Option C, on the other hand, is correct because it's not a linear equation.
Option D, can't be the answer. It shows a graph, but with a squiggly line. Therefore, this one is also incorrect.
Hope this helps!
Have a nice day/night/afternoon.
(Can you mark me brainliest?)
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a)
3
NIX 01/x
b
b)
=
= 8.5
Answer:
a = 8.5
Step-by-step explanation:
Simplify the expression.
4+ 5(3x - 2) - 3x
O A. -187-6
ООО
O B. -18x-14
-
C. 12x - 6
O D. 12x+ 2 2
I need friends answer this and we will be besties
Answer:
12x - 6
Step-by-step explanation:
4 + 15x - 10 -3x
(15x - 3x) + (4-10)
12x - 6
3x+4=7-2x
Solve this equation for x with steps
Q). The sum of four consecutive natural numbers is 166. What are the numbers?
Answer:
see that attachment
I hope it's help you
Let the four consecutive natural numbers are X,X+1,X+2,X+3
Their sum = X+X+1+X+2+X+3 = 4X+6
According to the given problem
Their sum = 166
⇛ 4X+6 = 166
⇛4X = 166-6
⇛4X = 160
⇛X = 160/4
∴ X = 40
X+1 = 40+1 = 41
X+2 = 40+2 = 42
X+3 = 40+3 = 43
The four consecutive natural numbers are 40,41,42,43
also read similar questions: The sum of two prime numbers is 85, what is the product of these two prime numbers? A. 85 B. 91 C. 115 D. 166
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