=======================================================
Explanation:
The sequence {3,11,19,...} is arithmetic since we are adding 8 to each term to get the next one
3+8 = 1111+8 = 19etc. This means the common difference is d = 8.
The first term is a = 3
Let's use this formula
S = n*(2*a + d(n - 1) )/2
so we can find the sum of the first n terms. In this case, n = 35
So,
S = n*(2*a + d(n - 1) )/2
S = 35*(2*3 + 8(35 - 1) )/2
S = 35*(6 + 8(34))/2
S = 35*(6 + 272)/2
S = 35*(278)/2
S = 35*139
S = 4865
[tex]4865[/tex] is the the sum of the first [tex]35[/tex] terms of the following series [tex]3, 11, 19...[/tex]
What is arithmetic sequence?
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2
The sequence [tex]{3,11,19,...}[/tex] is arithmetic since we are adding [tex]8[/tex] to each term to get the next one as shown below:
[tex]3+8 = 11\\11+8 = 19[/tex]
This means the common difference is [tex]d = 8.[/tex]
The first term is [tex]a = 3[/tex]
Number of terms [tex]=n=35[/tex]
Sum of the series
[tex]=\frac{n}{2} (2a+(n-1)d)[/tex]
[tex]=\frac{35}{2} (2[/tex]×[tex]3+34[/tex]×[tex]8)[/tex]
[tex]=35[/tex]×[tex]139[/tex]
[tex]=4865[/tex]
Hence, we can conclude that the sum of the first [tex]35[/tex] terms of the following series is [tex]4865[/tex]
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how do you expand (8+x) (9+x)
Answer:
x²+17x+72
Have a great day :)
What is x when 44x=78
Answer:
≈ 1.77
Step-by-step explanation:
So we are looking for x in 44(x) = 78.
All we have to do is isolate the variable, get x by itself.
Divide 44 by both sides :
[tex]\frac{44x}{44} = \frac{78}{44}[/tex]
[tex]x = 1.772727272723[/tex]
Which can be rounded to ≈ 1.77
7.5 - 3.2 + 4³ ÷ 2
I NEED HELP PLIS :(
Answer:
36.3
Step-by-step explanation:
Answer:
36.3
Step-by-step explanation:
Step 1: 7.5-3.2+2⁶÷2
Step 2: 7.5-3.2+2⁵
Step 3: 7.5-3.2+32
Step 4: 7.5-3.2+32
I’m so confused, how do I do this?
Answer:
x = 14
Step-by-step explanation:
These angles are vertical each other, another way of saying they are opposite each other in an X. Since these angles are vertical, they are equal!
60 = 5x - 10 | Given, from here on is basic algebra
70 = 5x | Add 10 to both sides
14 = x | Divide both sides by 5
(T & G) -> (E v D) what does this mean
Answer:
The work done by the electric field in Figure 1 to move a positive charge q from A, the positive plate, higher potential, to B, the negative plate, lower potential, is
W = −ΔPE = −qΔV.
The potential difference between points A and B is
−ΔV = −(VB − VA) = VA − VB = VAB.
Entering this into the expression for work yields W = qVAB.
Work is W = Fd cos θ; here cos θ = 1, since the path is parallel to the field, and so W = Fd. Since F = qE, we see that W = qEd. Substituting this expression for work into the previous equation gives qEd = qVAB.
The charge cancels, and so the voltage between points A and B is seen to be
{
V
AB
=
E
d
E
=
V
AB
d
(uniform E − field only)
Step-by-step explanation:
The relationship between V and E for parallel conducting plates is E=Vd E = V d. From a physicist's point of view, either ΔV or E can be used to describe any charge distribution
How do you solve the equation
Please explain
Answer:
x=27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5/3x-4/3x-1=8
5 /3 x+ −4 /3 x+−1=8
(5 /3 x+ −4 /3 x)+ (−1) =8 (Combine Like Terms)
1/3x-1 =8
1/3x=9
(1/3 x) x 3 = 3 x 9
x=27
Answer: x=27
Step-by-step explanation: if you want to Solve for X, you have to by simplify both sides of the equation, then isolating the variable.
Help please! Thank you!!
Answer:
alternate exterior angle is answer
Answer:
Angle 2 and angle 8 are alternative exterior angles
HELP!! Graph the equation.
y=-2(x-1)^2-4
Its an interactive graph.
Step-by-step explanation:
according to the question the graph must be like this. inverted parabola
Pls help extra points and mark brainlist
Answer:
2 terms
8 and 4c
Step-by-step explanation:
Answer:
2 terms
Step-by-step explanation:
8 & 4c
Which of the following could represent the question: How many 4/9s are in 6/5 as a multiplication equation?
x*4/9=6/5
x*6/5=4/9
6/5*4/9=x
4/9*6/5=x
Answer:
Select the third answer listed which states: 6/5 * 9/4
Step-by-step explanation:
To find how many of a quantity x are in another quantity y, we normally divide in the following fashion:
y divided by x = y ÷ x = y / x
Then we do the same here: 6/5 divided by 4/9 = 6/5 ÷ 4/9 = 6/5 * 9/4
(using the properties of division of fractions as equal to the product of the first one times the reciprocal of the second one)
Answer:
3rd one
Step-by-step explanation:
A letter home to the parents of seniors at Westgate High School says, "a simple random sample of 30 Westgate seniors that took the SAT-M test this year produced a mean of 512 and a standard deviation of 95. A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is Group of answer choices
Answer:
It's 99%
Step-by-step explanation:
It just is.
A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is 99%. The correct option is D.
What is the percentage?The percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Divide the amount by the total value to get the percentage, then multiply the resulting number by 100.
Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Therefore, the correct option is D, 99%.
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The question is incomplete. Your most probably complete question is given below:
90%
92%
95%
99%
over 99.9%
I need help with this so please help chicken mcnugget
Answer:
Imao
Step-by-step explanation:
What is 5 divided by 29
Answer:
0.5555555555555555555555
Step-by-step explanation:
Help plz fast anyonehelp mee plzzzzzzzzzzzzzz
Answer:
It would take them 5 minutes
Step-by-step explanation:
640/4= 160 (this is how many words they can read per minute)
800/160=5 (doing this helps us figure out how long it would take them to read 800 words)
Answer:
I think its 5 I'm not sure tho.....
Step-by-step explanation:
640 Divide By 4 = 160
so 800 Divided By 160 = 5
Jacob's piggy bank has
18 quarters, 20 dimes, 24 nickels,
and 43 pennies. He chooses a coin,
does not replace it, then chooses
another. What is the probability
that he chose a dime then
a nickel?
Answer:
Step-by-step explanation:
Help me with this problem
Answer:
3
Step-by-step explanation:
8 < 3 no
8 = 3 no
8 > 3 yes
so the answer is 3
Combine the like terms to create an equivalent expression:
-3.x - 6+(-1)
A triangle has sides with lengths of 7 yards, 8 yards, and 9 yards. Is it a
right triangle?
Answer:
No, it is not a right triangle.
Step-by-step explanation:
A right triangle will follow the Pythagorean Theorem: a² + b² = c²
c is the hypotenuse, or the longest side. In this case, it is 9.
That means a and b are 7 and 8.
Now let's plug in the values to see if they simplify correctly.
(7)² + (8)² = (9)²
Simplify the exponents.
49 + 64 = 81
Add the left side.
113 = 81
The above expression is not true; therefore, this triangle is not a right triangle.
In (Triangle)QRS,
Please explain
Answer: Triangle QRS is an isosceles triangle because QR = RS.
. Step-by-step explanation: Find the length of each side of the triangle using the formula for calculating the distance between two points.
Step-by-step explanation:
A circus show started at 6:15 p.m and ended at 9:30 p.m. What was the duration of the show?
Mr. Kershner is a school nurse. He uses, on average, 24 self-adhesive bandages during each spring month: March, April, and May. He also knows that in June there are several field days and he will need 4 times the number of bandages for that month.
If the bandages cost 3 cents each, what is his total cost for March through June?
If the bandages cost 3 cents each, Mr. Kershner's total cost for bandages from March through June is $5.04.
What is an arithmetic operation?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
The number of bandages used by Mr. Kershner in March, April, and May is 24 bandages each month, for a total of 24 x 3 = 72 bandages for those three months.
In June, he will need four times as many bandages as in the other months, for a total of 4 x 24 = 96 bandages.
The total number of bandages used from March through June is 72 + 96 = 168 bandages.
The cost of each bandage is 3 cents, so the total cost for 168 bandages is 168 x 3 = 504 cents, or $5.04.
Therefore, Mr. Kershner's total cost for bandages from March through June is $5.04.
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$750 loan 7% a year three years of no payments how much interest are you paying?
Answer:
$157.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
I = 750 × 0.07 × 3 = 157.5
I = $ 157.50
The simple interest accumulated
on a principal of $ 750.00
at a rate of 7% per year
for 3 years is $ 157.50.
(3 + 2) (5-v2)
Expand and simplify
Answer:
25−5v2
oof oof oof oof oof oof oof oof
Answer please????????????????????????
Answer:
(-3,-1) -> (3,1)
Step-by-step explanation:
Reflection over the y-axis:
When we reflect a point (x,y) over the y-axis, it's y-coordinate is kept, while the x-coordinate changes signal. So
(3,-1) -> (-3,-1)
Clockwise rotation of 180º
Both coordinates of the point change signals. So
(-3,-1) -> (3,1)
At a football game, 35% were supporting the visiting team. If 2119 people attending
supported the home team, what was the total number of people attending the game?
Answer:
3260
Step-by-step explanation:
yeah ok
How is the graph solution of 2x>10 different from the graph of the solution of 2x=10 ?
Answer:
the first one means that any number bigger than 5 whereas 2x=10 means that x can either be a positive or a negative value
Step-by-step explanation:
Please help me out tysm
Answer: 1/4 s^2 or [tex]\frac{1}{4} s^{2}[/tex]
Help would be much appreciated
Of people who died in the United States in recent years, 86% were white, 12% were black, and 2% were Asian. (This ignores a small number of deaths among other races.) Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians. The probability that a randomly chosen death is a white person who died of diabetes is about:____
Answer:
The probability that a randomly chosen death is a white person who died of diabetes is of 0.0241 = 2.41%.
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: The person is white
Event B: Died of diabeters.
Of people who died in the United States in recent years, 86% were white
This means that [tex]P(A) = 0.86[/tex]
Diabetes caused 2.8% of deaths among whites
This means that [tex]P(B|A) = 0.028[/tex]
The probability that a randomly chosen death is a white person who died of diabetes is about:
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.028*0.86 = 0.0241[/tex]
The probability that a randomly chosen death is a white person who died of diabetes is of 0.0241 = 2.41%.
A square rug has an area of 121 ft?. Write the side length as a square root. Then decide if the side
length is a rational number.
HELP ASAP