Answer:
-1,512,390
Step-by-step explanation:
Given
a1 = 15
[tex]a_i = a_{i-1} -7[/tex]
Let us generate the first three terms of the sequence
[tex]a_2 = a_{2-1}-7\\a_2 = a_1 - 7\\a_2 = 15-7\\a_2 = 8[/tex]
For [tex]a_3[/tex]
[tex]a_3 = a_{3-1}-7\\a_3 = a_2 - 7\\a_3 = 8-7\\a_3 = 1[/tex]
Hence the first three terms ae 15, 8, 1...
This sequence forms an arithmetic progression with;
first term a = 15
common difference d = 8 - 15 = - -8 = -7
n is the number of terms = 660 (since we are looking for the sum of the first 660 terms)
Using the formula;
[tex]S_n = \frac{n}{2}[2a + (n-1)d]\\[/tex]
Substitute the given values;
[tex]S_{660} = \frac{660}{2}[2(15) + (660-1)(-7)]\\S_{660} = 330[30 + (659)(-7)]\\S_{660} = 330[30 -4613]\\S_{660} = 330[-4583]\\S_{660} = -1,512,390[/tex]
Hence the sum of the first 660 terms of the sequence is -1,512,390
whats five and twenty-three thousandths wirten as a decimal giving brainest
Answer:
5.023 I believe
Step-by-step explanation:
Find the value of x.
50
Answer:
x = 18 degrees
Step-by-step explanation:
50 - 32 = 18
I need the help
On the problems with it and what is the answer
When the angle of elevation of the sun is 55°, a flagpole casts a shadow that is 16.8
feet long. What is the height of the flagpole to the nearest foot?
Answer: 24ft (rounded)
Step-by-step explanation:
Please help me 10 points i just joined today ;)
Answer:
y=3x-1
Step-by-step explanation:
Pick any x and y point (the x and y needs to be next to each other)
I will choose (-5,-16) and (-2,-7)
Sheila is trying to run a certain number of miles by the end of the month. If Sheila is 20% of the way to achieving her goal and she has already run 4 miles, how many miles is she trying to run by the end of the month?
Answer:
I think its 20 miles after the whole month
Step-by-step explanation:
20%=4
40%=8
60%=12
80%=16
100%=20
Sheila is trying to run 20 miles by the end of the month
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Sheila is trying to run a certain number of miles by the end of the month and she is 20% of the way to achieving her goal which is 4 miles.
Assuming she is trying to run x miles.
So, 20% of x miles is 4 miles.
∴ (20/100)×x = 4.
0.2x = 4.
x = 4/0.2.
x = 20 miles.
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Which value of x makes the equation 0.5(x + 16) = 3 + 0.25(x – 4) true?
Answer:it is confusing
Step-by-step explanation:
Helllpppppp me please
Answer:
The answer is 9 7/10
Step-by-step explanation:
hope this helps
F(x)=7x-3 what is the value of x when f(x)=25
Answer:
x=4
Step-by-step explanation:
7x4=28 and 28-3=25
Zhen designs a character for a video game. He draws three sizes of the character on grid paper. Zhen use the expression 6 +s2 to find the number of grid squares in a character of any size s. Find the number of grid squares in a character of size 7. Show your work.
Answer:
Is there a grid suare you can show that comes on th e
answer if there is just edit your answer so can edit this answer if not then i and try
Step-by-step explanation:
The number of grid squares in a character of size 7 is 55.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question as:
⇒ 6 + s² ....(i)
We can use the expression 6 + s² to find the number of grid squares in a character of size s.
As per the given question, we are looking for the number of grid squares in a character of size 7.
Substitute the value of s = 7 in the expression gives us :
⇒ 6 + 7²
⇒ 6 + 49
⇒ 55
Therefore, the number of grid squares in a character of size 7 is 55.
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What is the y and x-intercept of the equation below?
2x+6y=12
Answer:
2 on the y axis and 6 on the x axis
Step-by-step explanation:
Answer:
x intercept : (6,0)
y intercept : (0,2)
Step-by-step explanation:
Which relation represents a function?
A: {(5, -9), (3, -11), (0, -13), (5, -15)}
B: {(-4, -13), (-1, -7), (2, -1), (2,5), (6, 7)}
C:{(-8.1, 2), (-7.6, 2), (-7.1, 2), (-6.6, 2)}
D: {(-1, ), (-1, 1), (1, 2), (1, 4), (3, 8)}
Kevin gave 5/12 of his candy bar to Emily and 1/2 of his candy bar to David. How much of the candy bar does Kevin have left for himself? Your answer should be in the form of a simplified fraction. *
Answer:
[tex]Fraction\ Left = \frac{1}{12}[/tex]
Step-by-step explanation:
Given
[tex]Emily = \frac{5}{12}[/tex]
[tex]David = \frac{1}{2}[/tex]
Required
Determine the fraction left
The whole candy will be represented with 1:
So:
[tex]Emily + David + Fraction\ Left = 1[/tex]
This gives:
[tex]\frac{5}{12} + \frac{1}{2} + Fraction\ Left = 1[/tex]
Collect Like Terms
[tex]Fraction\ Left = 1 -\frac{5}{12} - \frac{1}{2}[/tex]
Take LCM
[tex]Fraction\ Left = \frac{12 - 5 - 6}{12}[/tex]
[tex]Fraction\ Left = \frac{1}{12}[/tex]
Hence, the fraction left is 1/12
On a map, every 0.5 cm represents 25 km. If. London is 454 km away from Paris, about how far apart from each other do the cities appear on the map?
Answer: pretty sure it's c: 908cm
Step-by-step explanation:
454÷25= 18.16 and 18.16÷0.5= 908
Here we need to perform a change of units, from real distances to distances in a map.
We will find that the distance on the map is 9.08cm
Let's see how to get that.
First, the information that we have is:
Each 0.5 cm in the map represent 25 kmLondon is 454 km away from Paris.The first thing we need to find is how many times we have 25km in 454km, we will get:
n = 454km/25km = 18.16
Each one of these 18.16, is represented with 0.5cm in the map, then the distance in the map is:
distance = 18.16*0.5 cm = 9.08cm
The distance on the map is 9.08cm
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if sally made 75$ in 5 hours of babysitting and andrea made 64$ in 4 hours of babysitting who has the higer unit rate and by how much
Answer:
75/5=15
64/4=16
Andrea has a higher babysitting rate by $1
Step-by-step explanation:
Answer:
Andrea
Step-by-step explanation:
Sallys Unit Rate is 15 dollars an hour
Andreas Unit Rate is 16 dollars an hour
So Andrea has a Higher Unit Rate
Using the Distributive Property write an equivalent equation: 6(x+7)
Answer:
6x+42
Step-by-step explanation:
By using Distributive Property we distribute 6 by multiplying both x and 7 by 6
(6*x)+(6*7)
6x+42
Answer:
6x+42
Step-by-step explanation:
if you multiply a number in this case 6 by a pharenthesis you have to multiply that number by each term inside the pharenthesis.
6(x+7) is 6*x +6*7 = 6x+42
A half-circle is joined to an equilateral triangle with side lengths of 12 units. What is the perimeter of the resulting shape? Write your answer as a decimal rounded to the nearest tenth. Do not include the label.
Answer:
P = 42.84 cm
Step-by-step explanation:
A half-circle is joined to an equilateral triangle with side lengths of 12 units.
We need to find the perimeter of the resulting shape.
The perimeter of the half cirle is πr.
The diameter of the circle is 12. It means radius is 6 units.
An equilateral triangle has 3 equal sides. So, perimeter of the triangle is given by :
P = πr + 12 +12
= 3.14(6) + 24
= 42.84 cm
Hence, the perimeter of the resulting shape is 42.84 cm.
Find the equation of the line parallel to y = x - 3 that also intersects the point (3,-2).
y = ( )x + ( )
Answer:
Y= 1x+-5
Step-by-step explanation:
Write the factors of 6 that sum to -5.
Answer:
-2 and -3
Step-by-step explanation:
a negative multiplied by a negative is a positive so -2 multiplied by -3 equals 6. And, -2 + -3 = -5
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-x+5y=-7
-3x +14y=-18
Answer:
no solution
Step-by-step explanation:
The sum of two numbers is 25 one number is 5 less than the other number
2 prime numbers are represented by f and g what is the greatest common factor of f and g please answer this fast its for a timed test
Answer:
1
Step-by-step explanation:
The greatest common factor of f and g is 1.
What is the greatest common factor?The greatest number can divide the numbers into equal parts.
It is called the greatest common factor.
Given:
2 prime numbers are represented by f and g.
That means the numbers are only factored by 1 and the number itself.
Let f = 2 and g = 3
Here, 2 and 3 are the prime numbers.
The GCF of 2 and 3 is 1.
That means the numbers are only factored by 1 and the number itself.
So, the greatest common factor of f and g is 1.
Therefore, 1 is GCF.
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Which pair (x,y) represents hours that Leah could work to meet the given conditions?
Answer:
You should try it it is sooo easy
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 4x-9 = x + 1
A. 2
B. 4
C. -7
D. -5
E. -3
F. -4
Answer:
A.2
Step-by-step explanation:
X is equal to 2
If you plug in 2 for X both sides will equal each-other
2(2) + 4(2)-9 = (2) + 1
4 + 8 - 9 = 3
12-9 = 3
3 = 3
Therefore X is equal to 2
Answer:
-5 and 2
Step-by-step explanation:
I NEED THIS ANSWERED ASAP!! Roses are on sale 6 for $10. How many roses can you buy for $15?
Answer:
9
Step-by-step explanation:
you can buy 6 with ten then 3 with the five because each roe sells for 1.6
so you have a total of 9
Two pairs of jeans cost $75 before tax. If the total tax paid for the two pairs of jeans was $6, what is the percentage of tax? Please show work
Answer this for me please
Answer:
-3
Step-by-step explanation:
You cant count the spaces up (9) and over (-3) between the two points and do up/over so it would be 9/-3 and simplified that is -3/1 or 3
(LCM) of 6 and 21.
What is the lcm of these
Answer:
LCM : 42
Step-by-step explanation:
Pls help me with this question
Answer:
1 2/7 is your answer. :)))
Answer:
9/7
Step-by-step explanation:
HELP ASAP PLEASE WILL MARK BRAINIEST PLEASEEEEE
Answer:
D. 7 up and 5 left
Step-by-step explanation
Pick any letter and see how you can get it to match the same letter but on the other shape. Ex. letter A if you go up 7 and then go 5 to the left it will be at the exact spot as A'. Hope this helps