Answer:
-95
Step-by-step explanation:
formula in finding this is -3
Arithmetic Sequnce:
-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.
Carry on learning
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
clearly, we see here, this constant is -3.
and we start with -8.
a1 = -8
a2 = a1 - 3 = -8 - 3 = -11
a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14
so, it becomes clear that
an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3
so,
a30 = -8 - 29×3 = -95
2. Theorem 2-10 states that through a point not on a line, there
is one and only one line parallel to the given line. How does this
justify the construction of the line through C that is parallel to
the line AB?
When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.
When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.
The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.
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Whats the median, mode and range of 6, 8, 10, 10?
Answer:
Median: 9
Mode: 10
Range: 4
Step-by-step explanation:
Median
Line up all the numbers from smallest to biggest and take the one in the middle. In this case it's both 8 and 10. So you would do (8+10)/2. which is 9
Mode
it's the number that occurs the most number of times, which is 10.
Range
Range is 10-6, so it's 4.
A mean is an arithmetic average of a set of observations. The mean, median, and the range of the given data set 6, 8, 10, 10 are 8.5, 9, and 4 respectively.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The mean, median and range of the given data set 6, 8, 10, 10 is,
Mean = (6+8+10+10)/4 = 8.5Median = 9Range = 10-6 = 4Hence, the mean, median, and the range of the given data set 6, 8, 10, and 10 are 8.5, 9, and 4 respectively.
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If i can get 2 bags of Doritos and its 2 for $7.00. How much is for 1 bag of Doritos?
Answer:
$3.50 for 1 bag
Step-by-step explanation:
To Find How much is for 1 bag of Doritos Divided $7.00 by 2
Which gives you 3.50
Therefore for 1 bag of Doritos = $3.50
Dylan brought his DVD set of The Sleuth in the Shadows Saga to a secondhand store to sell. He was paid cash for all 4 DVDs in the set. Before he left, Dylan used $16.40 of his earnings to purchase a backpack. He had $3.60 remaining. How much did Dylan receive for each DVD in the set?
Answer: 5$
Step-by-step explanation:
In order to get the total, you would need to add the total spen on the backpack and the amount remaining and then you would divide that by 4 ( for all of the DVDs in the set)
Please help and provide work please
Complete the proof:
Explanation:
Statement . . . . Reason
1. AE ≅ CE, AB CD, E is the midpoint of BD . . . . Given
2. BE ≅ DE . . . . definition of midpoint
3. ΔEAB ≅ ΔECD . . . . SSS congruence postulate
ples help meeeeeeeeeeeeeeeeeeeeeee
Answer:
po 989r9 vcmc cohol,j
Step-by-step explanation:
PLS SOMEONE HELP PLSSS
Answer:
x=17
Step-by-step explanation:
ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.
now we can set up the equation to find x like this:
29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)
x=17
What is the measure of angle x?
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today!
We can solve this problem in two steps, one being comprehension and another being solving. I'll start off with comprehension.
Comprehension
We can start to solve this problem by looking at it.
We can see that there is a right angle, therefore the angles that are in it are Complementary (Add up to 90).
That means that 30+3x=90.
We can now begin solving.
Solving
We can start solving by setting up an equation.
[tex]30+3x=90[/tex]
We can do this because we know due to the law of complementary angles that 30 and 3x MUST equal to 90.
[tex]3x=60\\x=20[/tex]
We can do basic algebra, we can find out that x is equal to 20 degrees. Let's now check our answer.
[tex]30+3(20)=90?\\30+60=90?\\90=90[/tex]
Therefore the answer is x=20 degrees
Cheers!
Sandra baked 9 pies that weigh 81/4 pounds total. How much does each pie weigh?
Answer:
2 1/4 ×9
= 9/4 ×9
= 81/4
= 20 1/4
Step-by-step explanation:
81/4/9
= 81/4 × 1/9 (Reciprocal)
= 9/4 pounds
= 2 1/4 pounds
Answer:
11/12 lb
Step-by-step explanation:
I think you mean 8 1/4 lb.
(8 1/4)/9 = 33/4 × 1/9 = 33/36 = 11/12
Answer: Each pie weight 11/12 lb.
Can some one help me
Answer:
16.95
Step-by-step explanation:
because when you add 14.95 and 2 together you get 16.95
Answer:
Step-by-step explanation:
Area of Big circle = πr² = 3.14 * 6.5*6.5 = 132.67 cm²
Area of small circle = 3.14 * 2.3*2.3 = 16.61 cm²
Area of shaded region = area of big circle - area of small circle
= 132.67 - 16.61 = 116.06 cm²
Graph the system of linear equations.
-1/2y = 4x + 5 and y = 2x +2.
Answer:
The graph is shown below.
Step-by-step explanation:
-1/2y = 4x + 5
This is the same as y = -2x - 2.5
The graph is shown below
Alex washed 10 1/2 windows in 3/4 hour. At this rate, how many windows can he wash in one hour?
Answer:
In an hour, Alex can wash 14 windows.
Step-by-step explanation:
10 1/2 windows per 3/4 hour
per usually means a / sign because you are finding the unit rate
10.5/0.75 (I just converted everything into a fraction to make it easier)
solve:
10.5/0.75 = 14
Another way to solve:
10 1/2 / 3/4
= 21/2 * 4/3
= 21*4/2*3
= 84/6
= 14
Check:
If Alex washes 14 windows per hour, you can check by multiplying 14 by 3/4 of an hour
14*3/4
=42/4
=10.5
10.5 is the same as 10 1/2
quellle expression algébrique représente l'aire totale d'un cude dont chauqe coter messure 1,5x
Answer:
sorry bro I don't understand your language
Leaks can write a 500 word essay in an hour. If she writes an essay in 10 minutes, about how many words do you think the essay contains. PLEASE TELL ME HOW TOU DID IT! WILL MARK BRAINLIEST
Answer:
83.3
Step-by-step explanation:
Alright so
She can write 500 words per hour
An hour is 60 minutes
500 divided by 6 (because 6x10= 60)
so you get est. 83 words per 10 mins.
To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)
Stossel is listening to an audiobook that at normal speed will last 10 hours. Stossel decides listen the audiobook at 2.5 faster. How long will the book be?
Answer:
4 hoursStep-by-step explanation:
Speed and time are inverse functions.
At normal speed the time is 10 hours.
If the speed is 2.5 times faster, then time is 2.5 times less:
10 hours / 2.5 = 4 hoursSpeed is 2.5
Distance is 10
Time
10/2.510/(25/10)100/254hrsA rectangular briefcase is 16 1/2 inches wide, 12 3/4 inches tall, and 5 inches deep. What is the volume of the briefcase?
please help i will mark as brainlyst
Answer: 1051.875 inches^3
Step-by-step explanation:
To find the volume of the briefcase, we'll use the formula: L*W*H where;
L = Length
W = Width
H = Height
So we'll have (16.5×12.75×5) inches^3
Which will give 1051.875 inches^3
Determine the y-intercept of the graph.
Answer:
Your y intercept is 1.
Step-by-step explanation:
slope is y2-y1 over x2-x1, or 2.
slope intercept formula is y=mx+b, and if you plug values into formula you get 3=2(1)+b
and if you solve that, 2x1=2, 3-2=1.
then you get 1 as your y intercept.
Questions. [Factorial]
3 + (2! × 2!) = ......
[tex]\\ \sf\longmapsto 3+2!2![/tex]
[tex]\\ \sf\longmapsto 3+2(2)[/tex]
[tex]\\ \sf\longmapsto 3+4[/tex]
[tex]\\ \sf\longmapsto 7[/tex]
[tex] \: \: \: \: \: [/tex]
[tex]⟹7[/tex]
Step-by-step explanation:
[tex]3 + (2! \times 2!)[/tex]
calculate the factorial[tex]3 + (2 \times 2)[/tex]
multiply the number[tex]3 + 4[/tex]
add the numbers[tex]⟹7[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
Need to find the scale factor plz help!!!
Answer:
if you're doing the scale factor of small to big it would be 1/4, but if you're doing from big to small it would be 4
Which is the best estimate for the length this tube
Answer:
Step-by-step explanation:
Plzzz help meeeeeplzzz
Answer:
1 1 0 0 1 1 (base 2)
Step-by-step explanation:
Do it as a common sum operation, remember that when you have 2 or more you need to carry over.
Determine whether each function is even, odd, or neither.
f(x) = x²_9
g(x) = |x-3
f(x) = 22-1
g(x) = x + x2
in what time is sum of money triples itself at 5%p.a
Answer:
Step-by-step explanation:
40 years
i need it asapp plss
Answer:
#1 is A #2 is C #3 is D #4 is D #5 is D #6 is A
Step-by-step explanation:
I might be wrong for number 5 or the others but hope this works for you.
:)
ABC is a right angle triangle. Calculate the length of BC
Give your answer correct in 1 decimal place
AB= 6.7 cm
AC= 16 cm
Answer:
I don't know sorry I haven't studied this at all I am in 7th grade only so
What are the variables in the equation 2x - 10 + 5y?
Please help- it's due in a week-
Answer:
100x + 150y = 3050
x + y = 23
Step-by-step explanation:
the other answer had the right start and equations, and then did not give the result.
so, here the full picture :
x + y = 23
100x + 150y = 3050
so, the first equation gives us
x = -y + 23
which we can now use in the second equation
100(-y + 23) + 150y = 3050
-100y + 2300 + 150y = 3050
50y = 750
y = 15 (15 adults)
x = -y + 23 = -15 + 23 = 8 (8 minors)
In the figure line m is parallel to line n if m angle 3 = (7x-10) and m angle 6=(5x+10) What are the measures of angle 3 and angle 6
Answer:
Than the other one is a good idea for the angle measured
Measures of angles 3 and 6 is 60°
What are parallel lines?Parallel lines are those straight lines that are always the same distance apart from each other.
Given that, line m is parallel to line n and m ∠ 3 = (7x-10) and m ∠ 6=(5x+10)
Since m ║ n then
m ∠ 3 = m ∠ 6
(7x-10) = (5x+10)
2x = 20
x = 10
m ∠ 3 = 7x-10 = 7*10 - 10 = 60°
m ∠ 6 = (5x+10) = 5*10 + 10 = 60°
Hence, Measures of angles 3 and 6 is 60°
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Which expression is equivalent to the given expression?
Step-by-step explanation:
16x²y⁵16x²y⁵ is the answer
Mark me BRAINLIEST pls!Compare the fractions.
10\14,3\7
Enter the correct inequality in the box.
Answer:
10/14 > 3/7
Step-by-step explanation:
L.C.D of these two fractions is 14:
10/14 = 10/14
3/7 = 6/14
10 is bigger than 6.