So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.
For each of the geometic series given below, we need to determine if |r| < 1.
For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1
For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1
For a₁ = 3, r = 2, |r| = |2| = 2 > 1
For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1
Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
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Solve for x.
3 + 9x = 11x - 7
Answer:
3 + 9x = 11x - 7
simplify
9x + 3 = 11x - 7
subtract 11x from both sides
-11x -11x
-2x + 3 = -7
get rid of constants first by subtracting by 3 from both sides
-3 -3
-2x = -10
divide both sides by -2 since that is the inverse operation of multiplication
/-2 /-2
X = 5
Answer:
x=5
Step-by-step explanation:
Hi, first the thing to do here is simple,
step 1, collecting like terms
3+9x=11x-7
11x-9x=3+7
2x=10
then divide both by 2.
x= 5
10 + (-3 3/8) = i need the answer
Answer:6 . 625 or 6 5/8
Step-by-step explanation
10 + (-3 3/8) (adding a negative is like subtracting a positive)
10 - 3 3/8
6 5/8
A truck is 2000 kg and has a cargo load of 1000 kg. Its speed is 50 km/h. The momentum for the truck and cargo is
Answer:
The momentum for the truck and cargo is 150000 kg·km/h
Step-by-step explanation:
p = mv
p = (2000 kg + 1000 kg)(50 km/h)
p = (3000 kg)(50 km/h)
p = 150000 kg·km/h
A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?
Answer:
a = 8
Step-by-step explanation:
First find the equation of line using
y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1
y-1=7(x-(-6))
y-1=7x+42
y=7x+43
now let x be -5 to find y which is a
y=7(-5)+43
y=-35+43
y=8
so a = 8
The students at the engineering conference ate more than 20 pizzas. The inequality x greater-than 20 represents the situation. Which graph represents the inequality?
A number line going from 15 to 25. An open circle is at 20. Everything to the right of the circle is shaded.
A number line going from 15 to 25. An open circle is at 20. Everything to the left of the circle is shaded.
A number line going from 15 to 25. A closed circle is at 20. Everything to the right of the circle is shaded.
A number line going from 15 to 25. A closed circle is at 20. Everything to the left of the circle is shaded.
Answer: Image A
Step-by-step explanation:
math
Answer:
A
Step-by-step explanation:
The length of each side of a square is 3 inches more than the length of each side of a smaller square. the sum of the areas of the squares is 369 in.² find the length of the sides of the two squares
Answer:
Have you ever had a dream that, that, um, that you had, uh, that you had to, you could, you do, you wit, you wa, you could do so, you do you could, you want, you wanted him to do you so much you could do anything?
Step-by-step explanation:
It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need
Answer:
5 1/4 please give brainliest
Step-by-step explanation:
1 x 3 = 3 3/4 x 3 = 2 1/4
Answer:
5 1/4 please give brainliest
Step-by-step explanation:
1 x 3 = 3 3/4 x 3 = 2 1/4
What is the slope??
(The bottom one says : (1, 1)
The sum of two polynomials is â€"yz2 â€" 3z2 â€" 4y 4. If one of the polynomials is y â€" 4yz2 â€" 3, what is the other polynomial? â€"2yz2 â€" 4y 7 â€"2yz2 â€" 3y 1 â€"5yz2 3z2 â€" 3y 1 3yz2 â€" 3z2 â€" 5y 7.
The sum of polynomials involves adding the polynomials
The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
The sum of the polynomials is given as:
[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]
One of the polynomials is given as:
[tex]P = 4y^2 - 3[/tex]
Represent the other polynomial with Q.
So, we have:
[tex]P +Q =Sum[/tex]
Substitute the expressions for P and Sum
[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]
Make Q the subject
[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]
Evaluate like terms
[tex]Q =y^3 -y^2+ 4y - 1[/tex]
Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
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!!!NEED ANSWERS ASAP!!!! simplify 15 ÷ 3 +2 x 10
Answer:
70
Step-by-step explanation:
because 15 divided by 3 is 5+2=7 and 7 x 10=70
Find: (4x2y3 2xy2 â€"" 2y) â€"" (â€""7x2y3 6xy2 â€"" 2y) Place the correct coefficients in the difference. X2y3 xy2 y.
The required coefficient is 11,-4 and 0.
Given expression is,
[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)[/tex]
we have to find the coefficient of the above expression.
ON solving the above expression,
[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=4x^{2} y^{3} +2xy^2-2y+7x^2y^3-6xy^2+2y[/tex]
[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=11x^2y^3-4xy^2+0y[/tex]
Hence from the above expression, it is clear that the coefficient of [tex]x^2y^3[/tex] is 11,[tex]xy^2[/tex] is -4 and [tex]y[/tex] is 0.
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Find the quotion 19.00/
16
Answer:
1.1875
Step-by-step explanation:
19.00/16 is =1.1875
Last week bakery marvels baked 5 of the power of ten 5 muffins. How many muffins Do bakery marvels make?
Answer:3125 muffins
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y = 1?
O-1
ОО
O 1
O undefined
Answer: D) Undefined
Explanation:
The equation y = 1 is the same as y = 0x+1
Match that to the form y = mx+b to see that the slope is m = 0
Any horizontal line has a slope of 0.
Notice that we cannot apply the negative reciprocal to this because 0 = 0/1 leads to 1/0 which is undefined
The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0. The rise can be any number you want (it doesn't have to be 1) and we get the same result.
The slope of a line that is perpendicular to the line y = 1 is undefined.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The equation y = 1 is the same as y = 0x+1
Match that to the form y = mx+b to see that the slope is m = 0
Any horizontal line has a slope of 0.
y = 1 is an vertical line.
The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0.
= Undefined
Hence, the slope of a line that is perpendicular to the line y = 1 is undefined.
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the fraction 26/5 is between which two numbers
Answer:
[tex]\huge\boxed{5,6}[/tex]
Step-by-step explanation:
The fraction 26/5 can be simplified to 5 and 1/5, which is between the numbers 5 and 6.
Hope it helps :) and let me know if you want me to elaborate.
You barrow 300$ for 5 years at an interest of 4% what is the interest you paid
Answer:
$60
Step-by-step explanation:
There's not enough information. We need to know how often the interest is compounded. I'll assume it's yearly. If not, you can apply the same method to what it actually is.
If it's compounded yearly that means it's going to be compounded 5 times so the equation becomes.
5*(300*4%)
which is:
5*(300*.04)
which becomes:
5*12
Which is:
$60
What is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187. 5, … /.
The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]
Given the following geometric sequence:
768, 480, 300, 187. 5To determine the common ratio for the given geometric sequence:
The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.
Mathematically, the common ratio of a geometric sequence is given by the formula:
[tex]C=\frac{T_{n+1}}{T_n}[/tex]
Substituting the given parameters into the formula, we have;
[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]
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ok how do i show work for this tho lolololoololololollloooooool
Answer:
y=[tex]\frac{1}{5}[/tex]x is linear
Step-by-step explanation:
4x-3y=7y+2x
collect like terms
4x-3y-7y-2x=0
2x-10y=0
simplify
x-5y=0
rewrite it in slope intercept form
y=[tex]\frac{1}{5}[/tex]x which is the equation for a straight line
Calculate the slope of the coordinates (5,10) (10,20)
Answer:
m=2
Step-by-step explanation:
30 POINTS! "A triangle with the side lengths of these numbers CAN exist: 9, 3, and ____?
Answer:
Let the third side be x
We know that
Sum of two sides of a triangle must be greater than the third side
So,
9 + 3 > x
12 > x (1)
Also, difference of two side of triangle must be smaller than the third side
9 - 3 < x
6 < x (2)
From 1 and 2 we concluded
6 < x < 12
The length of third side would lie between 7 to 11
Solve for x.
x2 + 4x - 21 = 0
An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?
Answer:
$14 discount$56 discounted priceStep-by-step explanation:
The amount of the discount is ...
20% of $70 = 0.20·$70 = $14 . . . discount
The discounted amount is ...
$70 -14 = $56 . . . discounted price
HELP PLEASE...........
Answer:
B. slope -5, y-intercept (0, 7)
Step-by-step explanation:
The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)
The slope is ...
change in y / change in x
(-13 -7) / (4 -0) = -20/4 = -5 . . . slope
This matches choice B.
help fast it due at 11pm
Answer:
multiplying 14/15 by 5 then dividing by 7
solve the ratio with solution nonsense=report
1.23:67
2.67:89
I DONT KNOW AHHHHHH
[tex]0.399 + w = 0.4[/tex]
Answer:
[tex] \sf \: w = 0.001[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of w.
The equation is,
→ 0.399 + w = 0.4
Then the value of w will be,
→ 0.399 + w = 0.4
→ w = 0.4 - 0.399
→ [ w = 0.001 ]
Hence, the answer is 0.001.
I NEED BOTH OF THESE
60 POINTS
asap
Answer:
107.5
Step-by-step explanation:
20% of 70 = 14
70 - 14 = 66
10% of 45 = 4.5
45 - 4.5 = 41.5
66 + 41.5 = 107.5
Find the inverse of the function 6-5x
can i please have help with this question branliest for the correct answer
Answer:
y = -4x+2
Step-by-step explanation:
To find a perpendicular line, the slope would be -4.
y=-4x
Since the point it has to go through is (0,2), the y-intersept is already given.
y = -4x+2
Please help me solve this problem
Answer:
15
Step-by-step explanation: