Answer:
[tex]a_{66}[/tex] = 653
Explanation:
General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)
[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)
[tex]a_{66}[/tex] = 653
Which of the following is the equation of a line that passes through the point
(1.2) and is parallel to the x-axis?
A. y = 1
B. y = 2
C. x = 1
D. X = 2
Answer: A line that is parallel to the x-axis is a horizontal line. In this case, the horizontal line passes through a point, (1,2). All points on a horizontal line will have the same y value. Therefore, y=2 for every point on this line and that is the equation of the line.
Step-by-step explanation i Hope this helps
In the figure, Line a is parallel to line b.
A. Which equation can be used to determine the value of x?
a
3x = 180 - 2x + 20
b
3x = 2x + 20
c
90 - 3x = 2x + 20
d
3x + 2x + 20 = 180
Answer:
b
Step-by-step explanation:
Based on the information marked in the diagram, AMNP and AQRS must be
congruent.
N
R
ма
P
A. True
B. False
Answer:
Yes, it is true by AAS theorem.
The triangles ΔMNP and ΔQRS are congruent triangles
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔMNP
Now , let the second triangle be ΔQRS
where the measure of angle ∠MNP = measure of angle ∠QRS = 90°
And , the measure of side NP = measure of side RS
And , the measure of ∠NPM = measure of angle ∠RSQ
So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent by ASA theorem
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There are 412 eighth-grade students at a middle school.
• About of the eighth-grade students ride the bus.
• Of the eighth-grade students that ride the bus, are females.
Approximately how many eighth-grade students that ride the bus ?are
male?
A 110
B. 140
C. 165
D. 275
Answer:
I cant see the numbers...
Step-by-step explanation:
Sorry! I can tell you the answer if you comment on this post.
help please i need help
Answer:
what do you need help on with this and maybe i can help....
Step-by-step explanation:
y
∝
1
√
x
If
y
=
4
when
x
=
49
find,
x
when
y
=
14
Answer:
x=4
Step-by-step explanation:
[tex]y \alpha \frac{1}{\sqrt{x} } \\or~y=\frac{k}{\sqrt{x} } \\when~x=49,y=4\\4=\frac{k}{\sqrt{49} } \\k=4 \times7=28\\y\alpha \frac{28}{\sqrt{x} } \\when ~y=14\\14=\frac{28}{\sqrt{x} } \\\sqrt{x} =\frac{28}{14} =2\\squaring\\x=2^2=4[/tex]
I do this do y'all can get extra point and complete challenges!
What is 4 + 4
8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.
Help please I need help
Answer:
I think it would be A??? idfk man
how do i do all these problems i don't understand surface area?the paper is named volume and surface area of composite figures plz tell me a easy way im in class
Answer:
gud luk 4 class
Step-by-step explanation:
volume = all the sides times together
surface area = all side's area plus together
If f(x) =6(9)^x then f(1/2)=?
Answer: f(1/2) = 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
In order to find f(1/2), we want to substitute 1/2 for x in our equation.
[tex]f(\frac{1}{2}) = 6(9)^{\frac{1}{2} }[/tex]
Then we can solve.
[tex]9^\frac{1}{2}[/tex] = 3, which means our equation is now:
[tex]f(\frac{1}{2}) = 6(3)[/tex]
6 * 3 = 18, so now we have:
[tex]f(\frac{1}{2}) = 18[/tex]
The theater manager needs to set up 54 chairs for a show each row can be holed up to eight chairs the manager puts as many chairs in each row as possible how many rolls will the manager set up
Answer:
7 not 7 full rows though
Step-by-step explanation:
HELP PLEASE AHH I WILL GIVE BRAINLIEST
Answer:
140 Minutes
Step-by-step explanation:
Y = 0.125x ---> Corinne every 1 minute
Y = 3.5 + .1x ----> Aretha
0.125x = 3.5 + .1x
-.1x - .1x
0.025x = 3.5
0.025x/.025 = 3.5/.025
x = 140 minutes
The amount of oil it takes to cover the bottom of a frying pan.
Answer:
about 1 cup maybe less
Step-by-step explanation:
Reed has 3 boards. Each board is 4 yards long. Reed needs to cut 2 -foot-long sections for his project. What is the maximum number of 2 -foot-long sections Reed can cut from the boards?
Answer:
19
Step-by-step explanation:
3 boards that are 12 feet long = 38÷2=19
please help me woth this
Find the difference or type
"impossible”
[1 -2 1] - [4 -5 -6]
Answer:
-3,3,7 for Acellus
that's it
Help given the graph of the function below what happens to f(x) when x is a small positive number?
Answer:
A
Step-by-step explanation:
Tianna's Urbanwear advertises the following sale: Shirts are 1/2 off the original price; pants are 1/3 off the
original price; and shoes are 1/4 off the original price.
A pair of pants usually sells for $33.00. What is the sale price of a pair of pants?
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The table shows information about all students in a Year 7 form class.
Age 11 Age 12 Total
Girls 8 9 17
Boys 8 10 18
Total 16 19 35
A student is selected at random from the register.
Find the probability of selecting a boy.
Give your answer in its simplest form.
Answer:
18/35
Step-by-step explanation:
favorable cases (in this case they are the boys, so 18) divided by possible cases (every student).
IM FAILLING PLZ HELPPPPP MEEEE
Answer: (x+ 13, y+13)
Step-by-step explanation:
(X-1)squared
Expand and simplify
Answer:
Step-by-step explanation:
(a - b)² = a² -2ab + b²
Here, a = x and b = 1
(x -1)² = x² - 2 * x *1 + 1²
= x² - 2x + 1
[tex]\sf \longmapsto \:( x + 1) {}^{2} [/tex]
[tex]\sf \longmapsto(x+1)(x+1)[/tex]
[tex]\sf \longmapsto(x)(x)+(x)(1)+(1)(x)+(1)(1)[/tex]
[tex]\sf \longmapsto \: x {}^{2} +x+x+1[/tex]
[tex]\sf \longmapsto \: x {}^{2} +2x+1[/tex]
[tex] \boxed{ \boxed{ \red {\sf x {}^{2} +2x+1}}}[/tex]
If x = 5, find the value of
a) x2
b) (x + 3)^2.
the 2 is meant to be squared
Answer:
a)since x=5
x²= 5×5
=25
b)(x+3)²
x=5
5+3=8
8²=8×8
=64
Soo :
a) x² = 5² = 5•5 = 25
b) (x + 3)² = (5 + 3)² = 8² = 8•8 = 64
Which of the following is the midsegment of triangle ABC ?
Α. AL
B. LM
C. LB
D. MC
Answer:
LM
Step-by-step explanation:
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data? median mode mean standard deviation.
Answer:
standard deviation on edge
Step-by-step explanation:
The statistic should he use to compare the spread of the two sets of data is the standard deviation.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
The standard deviation is the statistic that should be used to compare the spread of two sets of data.
The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
A larger standard deviation indicates that the data points are more spread out, while a smaller standard deviation indicates that the data points are more tightly clustered around the mean.
By comparing the standard deviations of the two sample sets of snowfall data, the scientist can determine which set has a larger or smaller spread of data.
Thus,
The statistic should he use to compare the spread of the two sets of data is the standard deviation.
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Last year at a certain high school, there were 60 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll increased by 10% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
19.3%
Step-by-step explanation:
There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375
0.19375 = 19.3%
plsss help me with this:((((
Answer: c. x + 3
Step-by-step explanation:
The first equation tells us the total area of the cloth. The second is the area of each piece. Divide the total area by the piece area to determine how many individual pieces can be made.
(x^3 + 27) can be factored into:
(x+3)(x^2 - 3x + 9) [Not easy, but true]
[(x+3)(x^2 - 3x + 9)]/(x^2 - 3x + 9)
(x^2 - 3x + 9) is on both sides, so it cancels, leaving (x + 3)
Create a shape with an area of 0.8 m2 and a perimeter close to 400 cm
The dimension of the shape is approximately 1.45 meters by 0.55 meters
Assume the shape is a rectangle, that has the following dimensions.
Length = x
Width = y
So, the area is:
Area = xy
The perimeter is
Perimeter = 2(x + y)
Substitute known values
[tex]\mathbf{xy = 0.8m^2}[/tex]
[tex]\mathbf{2(x+y) = 400cm}[/tex]
Express cm as m
[tex]\mathbf{2(x+y) = 4m}[/tex]
Divide through by 2
[tex]\mathbf{x+y = 2m}[/tex]
Make x the subject (ignore the units)
[tex]\mathbf{x= 2 - y}[/tex]
Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]
[tex]\mathbf{(2-y)y = 0.8}[/tex]
Open brackets
[tex]\mathbf{2y-y^2 = 0.8}[/tex]
Rewrite as:
[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{y \approx (0.55,1.45)}[/tex]
Recall that:
[tex]\mathbf{x= 2 - y}[/tex]
So, we have:
[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]
[tex]\mathbf{x \approx (1.45,0.55)}[/tex]
Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters
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Express 6/8 as a percentage.
Answer:
75%
Step-by-step explanation:
Here, 6/8 = 6/8×100%
= 75%.
Answer:
75
Step-by-step explanation:
6/8×100%= 75(as we are expressing in percentage so multiplting by 100
Find the constant of proportionality and write an equation for the following proportional relationship.
You drove 330 miles in 6 hours.
Use d to represent the distance you drove and t to represent the time
Answer:
NoShutterStock gives the correct value: 55 miles/hr (mph)
I'll only add that distance, d, is the product of time, t, and speed, s.
(Distance, d) = (Time, t x) (Speed, s)
d = ts
330 miles = (6 hours)*(s)
s = 330 miles/6 hours, or 55 mph
Step-by-step explanation:
The constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.
What is proportionality?Two quantities are said to be in direct proportion (or directly proportional), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.
Given that, find the constant of proportionality and write an equation for the following proportional relationship.
"You drove 330 miles in 6 hours."
Here, the constant of proportionality =
330/6 = 55 miles per hour
The equation for the proportional relationship =
y = 55x
Where, y is total distance and x is hour of travelling.
Hence, the constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.
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OMG
_________
2² × 3² = ....
Answer:
24
Step-by-step explanation:
First Step:
2² × 3² =
Second Step:
4 × 3² =
Third Step:
4 × 6 = 24
2 × 2 = 4
3 × 3 = 9
4 × 9 = 36
hence , your ans is 36