Answer:
The sum of the arithmetic series
[tex]S_{n} = \frac{n}{2} (2 a + (n-1) d)[/tex]
Step-by-step explanation:
Explanation
Let a , a+d , a+2 d , ..........a+(n-1)d +....... is an arithmetic sequence
The sum of the sequence is called arithmetic series
The [tex]n^{th}[/tex] term of the sequence
[tex]t_{n} = a + (n-1) d[/tex]
The sum of the arithmetic series
[tex]S_{n} = \frac{n}{2} (2 a + (n-1) d)[/tex]
Here 'a' is the first term of the sequence
and 'd' be the difference between two values
sum of first term
put n=1 ⇒ [tex]S_{1} = a[/tex]
Put n =2 ⇒ [tex]S_{2} = \frac{2}{2} (2 a + (2-1)d)[/tex]
[tex]S_{2} = 2 a + d[/tex]
......and so on
The sum of the arithmetic series
[tex]S_{n} = \frac{n}{2} (2 a + (n-1) d)[/tex]
Simplify the expression below.
(12s4−6s2+4s)+(6s4−4s+27)−(4s4+s2+12)
Answer:
=14s4−7s2+15
Step-by-step explanation:
Steps:
1: Distribute the Negative Sign
=12s4−6s2+4s+6s4−4s+27+−1(4s4+s2+12)
=12s4+−6s2+4s+6s4+−4s+27+−1(4s4)+−1s2+(−1)(12)
=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12
2: Combine Like Terms
=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12
=(12s4+6s4+−4s4)+(−6s2+−s2)+(4s+−4s)+(27+−12)
=14s4+−7s2+15
Answer: =14s4−7s2+15
Hope this helps.
Which of the following is the complete factorization of the polynomial below?
X-5x2+2x+8
Please help, having trouble with geometry word problems. Tysm if you do :)
Hi!
So let's start with some variables.
w is width
L is length.
The length is 4 less than 5 times the width. Let's put that into an equation.
L = 5w - 4
The perimeter is 76.
The perimeter is L + L + w + w or
perimeter = 2L + 2w.
Which means that 1/2 of the perimeter = L + w.
We know the perimeter is 76, so half of 76 is 38.
38 = L + W.
Let's put length in terms of width and plug in the previous equation.
38 = 5w - 4 + w
Add the same variables
38 = 6w - 4
simplify
42 = 6w
w = 7
And plug that into the length equation that we had above to get
L = 35 - 4
L = 31
The correct answer is C: 7, 31
Answer:
1. C. 7, 31 cm
2. A. 43°, 137°
Step-by-step explanation:
1.
A. 14+14+66+66=160 (incorrect)
B. 7+7+27+27= 68 (incorrect)
C. 7+7+31+31= 76 (correct)
D. 7+7+39+39= 92 (incorrect)
For this question, they give you a red herring. Since it's a multiple choice question, you can just add their length and width and see if they add up to 76. Only C. 7, 31 cm dimensions add up to have a perimeter of 76.
2.
Supplementary angles add up to 180°
The formula is x° × 5 = y° × 2 - 59
A. 43° × 5 = 137° × 2 - 59 (correct)
B. 41° × 5 ≠ 139° × 2 - 59 (incorrect)
C. 39° × 5 ≠ 141° × 2 - 59 (incorrect)
D. 37° × 5 ≠ 143° × 2 - 59 (incorrect)
For this question, you can't add up the angle measurements because they all equal 180°. Since it's a multiple choice question, you can just try them and see which one fits. Only A. 43°, 137° has angles that fit our formula.
Teo has a combination of quarters, loonies, and toonies in his pocket.
He knows he has 9 coins in total and that he has at least one of each
type of coin.
a) What is the probability that Teo has more than $8?
b) How many different combinations of coins could Teo use to pay for an item
that costs between $10 and $12, if he uses fewer toonies than loonies?
Answer:
ooga booga ooga booga ooga booga ooga booga
Step-by-step explanation:
Answer:
343
Step-by-step explanation:
There are quarters(25¢), loonies ($1), and toonies ($2)
And total number of coins is 9
If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7
If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7
If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7
So possible number number of combination for an item that cost between $10 and $12 is
= 1^3 * 1^3 * 7^3
= 343
solve 5kx+6=7kx for x
Answer:
7kx-5kx=6
2kx=6
x=3/k
Step-by-step explanation:
ur welcome my guy
Answer:
The answer is 3/k .
Step-by-step explanation:
First you have to move all the related terms to one side :
[tex]5kx + 6 = 7kx[/tex]
[tex]6 = 7kx - 5kx[/tex]
[tex]2kx = 6[/tex]
Next, you have to solve it :
[tex]x = 6 \div 2k[/tex]
[tex]x = 3 \div k[/tex]
[tex]x = \frac{3}{k} [/tex]
SCHOOLS DONE WOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
Answer:
Maybe for you....
Step-by-step explanation:
;'(
wow good for you i still need to do my last studysync lol
:(
At the Laika Boss Kennel Club, there are 15 dogs that are hairy or small, 2 dogs that are hairy and small, and 9 dogs that are small. How many dogs are hairy?
Answer:
There are 8 number of hairy dogs.
Step-by-step explanation:
It is given that:
Number of small dogs (Let it be [tex]n(A)[/tex]) = 9
To find:
Number of hairy dogs (Let it be [tex]n(B)[/tex]) = ?
Also given the following things:
Number of hairy or small dogs ([tex]n(A \cup B)[/tex]) = 15
Number of hairy and small dogs(both) ([tex]n(A \cap B)[/tex]) = 2
We can use the following formula:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
To find [tex]n(A \cup B)[/tex], We have to subtract [tex]n(A \cap B)[/tex] once because [tex]n(A) \ and \ n(B)[/tex] both contain the common part and it gets added twice. So, it is subtracted once.
Putting the values in above formula:
[tex]\Rightarrow 15 = 9 + n(B) - 2\\\Rightarrow n(B) = 15 - 7\\\Rightarrow n(B) = 8[/tex]
Hence, the number of hairy dogs are 8.
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 9 yards and b = 40 yards, what is the perimeter?
Answer: 90 yards
Step-by-step explanation: Let me know if you need an explanation.
Answer: i did the math and i got 90 yards, trust me i know the answer and because i'm always right
Which graph represents a proportional relationship? On a coordinate plane, a line crosses the y-axis at (0, 2). On a coordinate plane, a line crosses the y-axis at (0, 2). On a coordinate plane, a curved line curves at (0, 0). On a coordinate plane, a line crosses the y-axis at (0, 0).
Answer: On a coordinate plane, a line crosses the y-axis at (0,0)
Step-by-step explanation:
A proportional relationship has the form:
y = k*x
where k is the constant of proportionality.
only from looking at this we can conclude:
This is a linear equation.
The slope is k.
The y-intercept is equal to zero.
For example, if we have x = 0 then:
y = k*0 = 0
then this line passes through the point (0,0)
then the correct option is:
"On a coordinate plane, a line crosses the y-axis at (0,0)"
Answer:
D
Step-by-step explanation:
a bicycle trail in the shape of a circle has a diameter of 3 miles. Michelle biked around the trail 4 times. about how far did Michelle bike? A. 19 miles B. 28 miles C. 38 miles D. 113 miles
Answer:
C 38 miles
Step-by-step explanation:
to figure out how long is 1 round of the circle we will find circumfrence of circle. C = 2 * π * R. So the r = 1/2 of the diameter which is going to be 1.5 miles. so we multiply 2 by π by 1.5 which gives us an answer of 9.4 something Then times it by four to get ur final answer which is going to be 38 miles after rounding.
Please help I really need it it’s too soon I will give brainless a thank you and five stars
Answer:
6
Step-by-step explanation:
3/4=6/8
1/8x=6/8
x=6
PLEASE HELP WILL MARK BRAINLIEST Abdul is making a map of his neighborhood. He knows the following information: His home, the middle school, and high school are all on the same street. His home, the elementary school, and his friend's house are on the same street. The angle between the elementary school, middle school, and his home is congruent to the angle between his friend's house, the high school, and his home. What theorem can Abdul use to determine the two triangles are similar?
Answer:
Triangle Proportionality Theorem
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally
w^2(x+8)+z(x+8)=( )(x+8) find the missing factor PLEASE!
Answer:
w^2(x+8)+z(x+8)= (w^2+z)(x+8)
Step-by-step explanation:
This question uses concepts from grouping. Since the second term (x+8) is a common term on the left side of the equation, we can pull it out. This would leave (w^2+z) left.
Solve the system of equations please:
y=(x^2)+3x-6
y=x+2
Answer:
(- 4, - 2 ) and (2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3x - 6 → (1)
y = x + 2 → (2)
Substitute y = x² + 3x - 6 into (2)
x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )
x² + 2x - 8 = 0 ← in standard form
(x + 4)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
Substitute these values into (2) for corresponding values of y
x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )
Multiply Mentally: 4.527 • 10(2)
Answer:
452.7
Step-by-step explanation:
Answer:
452.7
Step-by-step explanation:
hope this helps
<3
please help !
1) The product of two rational is always a .....................................
2) The reciprocal of a positive rational number is ............................................
if u say the answer then i will rate u excellent
Answer:
1. rational number
2. a positive rational number
Step-by-step explanation:
A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.
The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.
｡☆✼★ ━━━━━━━━━━━━━━ ☾
1) A rational number.
If you think about it, multiplying two fractions would produce another fraction. An irrational number can't be expressed as a fraction. Thus, multiplying two nationals would produce a rational number.
2) A positive rational number
Let's look at an example
3/4
The reciprocal would be 4/3.
If it is already a positive rational number, turning it upside down wouldn't affect the status of it.
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
What this question?????????
Answer:
A. [tex]\frac{3}{4} = \frac{21}{28}[/tex]
Step-by-step explanation:
[tex]\frac{21}{28}[/tex] ÷ [tex]\frac{7}{7} = \frac{3}{4}[/tex]
21 ÷ 7 = 3
28 ÷ 7 = 4
Joe hosted a praty 582 people came he charged 15 dollars for balcony seats and 10 dollars for ground seats how many people bout the ground seats and the balcony seats if he raised 6480
Answer:
Ground seats = 450 people
Balcony seats= 132 people
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
The money raised (6480) must be equal to the product of the charge per balcony seats (15) and the number of balcony seats sold (b) ;plus the product of the charge per ground seats (10) and the number of ground seats sold (g)
15 b +10 g =6480
The total number of people (582) must be equal to the sum of balcony seats sold (b) and ground seats sold (g).
b+g = 582
Multiplying the second equation by 10, and subtracting it to the first equation:
15 b +10 g =6480
-
10b+10g = 5820
__________
5b =660
Solving for b
b = 660/5 = 132
Substituting b=132 in the second equation:
132+g = 582
g= 582-132
g= 450
Triangle QRS was dilated using the dilation rule DP,4.
What is PR'?
6 units
9 units
12 units
15 units
Answer:
PR' = 12unitsStep-by-step explanation:
When a figure is dilated, it means there is a transformation carried out on the figure. The dilation may cause the figure to increase or reduce in size depending on the dilation factor.
If the dilation factor of an object is greater than 1, the resulting image will be a magnified image otherwise, it will be a diminished image.
Given the dilation factor in question DP to be 4, this means that the new image formed will be 4times bigger than the original.
According to the diagram, side PR = 3, if this is dilated by factor of 4, the side PR' will be equal to 4*PR
PR' = 4 * PR
PR' = 4*3
PR' = 12units
Please answer this math question !! Thank u !! Will give brainliest !!
Answer:
Sharon has 18 cards and Brendan has 13
Step-by-step explanation:
you do 31-5=26
26/2=13 these are both of their cards
u then need to add the 5 to 13 to make it 18 to sharon and 13 to brendan
can i have brainliest
A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.8 in. The slant height of the pyramid is 93.5 in. What is the height of the pyramid?
Answer:
The height of the pyramid is 92.67 inches
Step-by-step explanation:
Here, we are interested in calculating the perpendicular height of the pyramid given the slant height of the pyramid.
Now, let’s say that the side of the square is a, half of this length is r and the slant height is represented by s.
Mathematically, from Pythagoras’ theorem, we know that the square of the hypotenuse equals the sum of the square of the two other sides.
With the hypotenuse being the slant height s,
s^2 = r^2 + h^2
but r is just half of the length of the side of the square base = a/2 = 24.8/2 = 12.4 inches
93.5^2 = 12.4^2 + h^2
h^2 = 93.5^2 - 12.4^2
h^2 = 8742.25 - 153.76
h^2 = 8,588.49
h = √(8,588.49)
h = 92.67 inches
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
x = - 9, x = 10
Step-by-step explanation:
Given
x² - x - 90 = 0
Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)
The factors are - 10 and + 9, since
- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus
(x - 10)(x + 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 9 = 0 ⇒ x = - 9
lesser x = - 9
greater x = 10
Find the measure of each angle indicated.
Answer:
53
Step-by-step explanation:
Left triangle: Missing angle 40. 80+60=140, 180-140=40.
40+49=89
180-89=91
91+36=127
180-127=53
Answer:
? = 53°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
The measure of the third angle of the triangle on the left is
third angle = 180° - (60 + 80)° = 180° - 140° = 40°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
40° + 49° = 89° is an external angle of the triangle on the right, thus
? + 36 = 89 ( subtract 36 from both sides )
? = 53°
I need help with this question
Answer:
you can solve like this i think it is correct but i am not sure
Chris rents a car for a total of £375 The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car?
Answer:
4 days in total
Step-by-step explanation:
Answer:4 days
Total=375
150+(75×4)=150+75+75+75=375
4 days
Step-by-step explanation:
I need help. Find the surface area.
Answer:
253.5π
Step-by-step explanation:
Surface area of cylinder: 2πrh+2πr^2
Height: 13, Radius: 6.5
A = 2π6.5(13)+2π6.5^2
A = 169π + 84.5π
A = 253.5π
When a grizzly bear hibernates it's heart rate drops to 10 bpm which is 20% of its normal value what is a grizzly bear is normal heart rate when not hibernating
Answer:
The normal heart rate of the bear is 50 bpm
Step-by-step explanation:
20% of the normal rate (let's assign the letter 'x' to this) is 10 bpm.
So we can write the equation:
[tex]0.2\,*\,x =10\\x=\frac{10}{0.2} \\x=50[/tex]
Write the word sentence as an inequality. A number b is at least -3.
Answer:
b>=3
Step-by-step explanation:
Can someone help me with this please
Answer: Bladder
Step-by-step explanation:
The walls of the bladder contain very few blood vessels and are lined with guanine crystals, which make them impermeable to gases. By adjusting the gas pressurising organ using the gas gland or oval window the fish can obtain neutral buoyancy and ascend and descend to a large range of depths.
Find the measurement of the angle in the given picture
