Step-by-step explanation:
The sequence is AP(arithmetic progression) with a common difference of -3
The given sequence is in arithmetic sequence and the common difference is 3.
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 12, 9, 6, ...
Here, The common difference is find as;
⇒ 9 - 12 = - 3
⇒ 6 - 9 = - 3
Which is same.
So, The sequence is an Arithmetic sequence.
Learn more about the Arithmetic sequence visit:
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456, 930, 1860, 3720, ?
Find angle 4 lowkey lost
Answer: 38°
Step-by-step explanation:
∠1 and m∠62° are congruent as this is an isosceles triangle.
∠1 = 62°
∠2 + ∠1 + m∠62° = 180° because they form a triangle
∠2 + 62 + 62 = 180
∠2 + 124 = 180
Subtract both sides by 124
∠2 = 56°
∠2 and ∠3 are linear pairs so they're supplementary.
∠3 + ∠2 = 180°
∠3 + 56 = 180
Subtract both sides by 54
∠3 = 124°
∠4 + m∠18° + ∠3 = 180° because they form a triangle
∠4 + 18 + 124 = 180
∠4 + 142 = 180
Subtract both sides by 142
∠4 = 38°
Hope this helped!
Find the measure of Angle B if...A & B are supplementary, and A=2x+4 B=3x+16.
a. 112
b. 32
c. 12
d. 52
Use the picture below of the isosceles triangle to solve for x & y.
a. x=47 y=43
b. x=90 y=43
c. x=90 y=86
d. x=86 y=43
Answer:
1) because A and B are supplementary
=> 2x + 4 + 3x + 16 = 180
<=> 5x = 160
<=> x = 32
with x = 32 => angle B = 3.32 + 16 = 96 + 16 = 112
2) see in the picture, because triangle ABC is the isosceles triangle => angle A = 180 - 2.47 = 180 - 94 = 86
we also have:
2y = 86
x = y + 47
=> y = 43
x = 43 + 47 = 90
During the fall a pumpkin patch advertises 4 pumpkins for $11.00. Which equation below represents this situation, where x is the number of pumpkins and y is the total amount due.
A:y=4/11x
B:y=2.75x
C:y=0.36x
D:11y=4x
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBbbbBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
Please help me with this homework
Answer:
2 /3
Step-by-step explanation:
rise = 2
run = 3
slope = rise/run
Answer:
2/3
Step-by-step explanation:
rise over run
Determine the slope of
the line that contains the
points (-3. 4) and (10. 60).
Answer:
The slope is 56/13
Step-by-step explanation:
Wyatt buys a one-quart bottle of juice for $4.80. What is the unit rate of the cost of
the juice per fluid ounce?
Answer:
Unit rate per fluid ounce = $0.15
Step-by-step explanation:
Given that:
Cost of one quart bottle of juice = $4.80
We know that:
One quart = 32 ounces
Unit rate is the rate in which two quantities are compared and one of them is one.
Unit rate = [tex]\frac{4.80}{32}[/tex]
Unit rate = $0.15 per fluid ounce
Hence,
Unit rate per fluid ounce = $0.15
Help plz i suck at math
Answer:
18.75
Step-by-step explanation:
4p - 5 = 70 (add 5 to 70)
4p - 75 (divide 4 and 75)
18.75
Suppose the cooking time for a particular
recipe varies inversely with the
temperature of the oven.
If the recipe takes 60 minutes to cook at a
temperature of 350 degrees, how many
minutes would it take at 200 degrees?
Answer:
The answer is 105
Step-by-step explanation:
(60)(350) = k
21000 = k
(m)(200) = 21000
m = 105
What are the coordinates of the point on the directed line segment from (-2, -5)(−2,−5) to (7, 10)(7,10) that partitions the segment into a ratio of 2 to 1?
Given:
The directed line segment from (-2, -5) to (7, 10).
A point partitions the segment into a ratio of 2 to 1.
To find:
The coordinates of that point.
Solution:
Section formula: If a point divides a line segment in m:n, then the coordinates of that point are
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
The point divides the line segment from (-2, -5) to (7, 10) in 2:1.
Using section formula, we get
[tex]Point=\left(\dfrac{2(7)+1(-2)}{2+1},\dfrac{2(10)+1(-5)}{2+1}\right)[/tex]
[tex]Point=\left(\dfrac{14-2}{3},\dfrac{20-5}{3}\right)[/tex]
[tex]Point=\left(\dfrac{12}{3},\dfrac{15}{3}\right)[/tex]
[tex]Point=\left(4,5\right)[/tex]
Therefore, the coordinates of the partition point are (4,5).
Answer:
4.5
Step-by-step explanation:
What is 11/4 multiplied by 1/9 in fractions
Answer:
11/36
Step-by-step explanation:
Hope this helps :)
please help !!!!!
Evaluate the following image to solve for surface area and volume:
surface area ?
volume?
Answer:
Volume: 1080
Surface Area: 684
A food cooperative is a business that usually offers special prices on locally grown food and produce. Some are clubs and some are retail stores. A club costs a one time club fee of $20 and a cost of $15 per week. A retail store costs no club fee and a cost of $17.50 per week. After how many weeks will the cost of the club and the retail be the same?
Answer:
The indifference point is 8 weeks.
Step-by-step explanation:
First, we establish the total cost formula for each:
x= number of weeks
Club:
Total cost= 20 + 15*x
Retail:
Total cost= 17.5*x
Now, we equal both formulas and isolate x:
20 + 15x = 17.5x
20 = 2.5x
8=x
The indifference point is 8 weeks.
Prove:
Total cost= 20 + 15*8= $140
Total cost= 17.5*8= $140
need help asap plzzz
Answer:
Side a is that side opposite to the hyp and b is the short side and c is the hyp
So a/b is 24/x
we need b
We find b=10
so 24/10 and we simply to 12/5
Suppose there are n rectangular prisms stacked on top of each other in various ways to form one solid. Each has L=w and a height of h. Using cavaliers principle, what is the volume of the solid
Answer:
V = nl^2h or V = nw^2h
Step-by-step explanation:
The computation of the volume of the solid is given below:
Here the volume of the sold would be considered as the volume of 1 prism i.e. rectangular times n
Now as we know that
The volume of a rectangular prism is V is
lwh.
As L = w
Here cross section would become a square
So
V = l^2h
So,
The volume of the resulting solid would be
V = nl^2h or V = nw^2h
Write an equation in point-slope
form for the line that passes
through (1,4) with a slope of 3.
Help me please!
Answer:
Answer. We know that point slope form of a linear equation is y - y₁ = m(x - x₁). Given: m = 4, x₁ = -1, y₁ = -3.
Step-by-step explanation:
Given the list of ordered pairs, identify the y-intercept.
(1, 3), (9,10), (0, -4), (8, 9), (4,0)
An invariant point is a point that remains fixed under a transformation. For the transformations described below, determine whether there will sometimes, always, or never exist at least one invariant point. If so, describe the invariant point(s). If not, explain why invariant points are not possible.
is 3.254 rational or irrational
Simplify the following 3^2 x 3^2
Answer: 81
Step-by-step explanation:
Answer:
3^4
Step-by-step explanation:
You can use the rule:
[tex] {n}^{a} \times {n}^{b} = {n}^{a + b} [/tex]
2+2 = 4 so that's your answer
and 3^ 4 is 81 when you put it in a calculator
f(x) = 2x² + x at (-1, 1)
Answer:
[tex]f(x) = 2 {x}^{2} + x \\ at \: that \: point \: given \: \: x = - 1 \\ f(x) = 2 {( - 1)}^{2} + ( - 1) \\ f(x) = 2 - 1 \\ f(x) = 1[/tex]
Which is the value of x?
X=16
X=29
X=44
X=46
Answer:
x = 16
I hope this helps!
Answer:
x=16
Step-by-step explanation:
The angles of the inside of a triangle always add up to 180
2*16= 32
3*16=48
16+84=100
32+48+100=180
Find the midpoint of the line segment with endpoints (-9,-1,) and (7,0)
Answer:
The midpoint is;
(-1,-0.5)
Step-by-step explanation:
To do this, we shall use the midpoint formula
That would be;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (-9,-1)
(x2,y2) = (7,0)
(x,y)
= (7-9)/2 , (0-1)/2
= -2/2 , -1/2
= (-1, -0.5)
10 Points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=9
Step-by-step explanation:
9 to the power of 6 is 531441
9 to the power of 3 is 729
531441 divided by 729 is 729
a third root of 729 is 9 because 9 times 9 times 9 is 729
so x is 9
please mark me as brainliest!!<3
Answer:
Step-by-step explanation:
I think it's X9?
determine the rate of change (slope) in the graph
Answer: 2/3
Step-by-step explanation: the slopes line is 2 over 3
Answer:
Step-by-step explanation:
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The Science Club went on a two-day field trip. The first day the members paid $40 for transportation plus $14 per ticket to the planetarium. The second day they paid $100 for transportation plus $11 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given by ?
Look at this diagram.
If TV and WY are parallel lines and m<YXZ = 130°, what is m<VUX?
____°
Answer:
130°
Step-by-step explanation:
Angle VUX and Angle YXZ are vertical lines ! Which means that they are both exact
Bam! -w-
Lol Hope This Helps !
Distance between (2,7) and (-1,3)
Answer:
along the x it moved 3 and along the y it went 4
round off 87.19236769 to nearest ten
Answer:
87.2
if the next no is 5 and above you add 1 if it's not you don't add
(10-3) Homework K pearson school
Answer:
is that a question I'm confused