Answer:
S20=230Step-by-step explanation:
2,8,14,20first determine whether it is arithmetic progression or geometric sequence. for APCommon difference (d) = second term - first termD=T2-T1 D=T3-T2
D=8-2 D=14-8
D=6 D=6
Also try for GP COMMON RATIO= T2/T1r=T2/T1 r=T3/T2
r=8/2 r=14/8
r=4 r=7/4
therefore, we can conclude that this is AP since we have the same common differences in the sequence Sn=n/2[2a+(n-1)]. where, a=first term n=number of terms S20=20/2[2*2+(20-1)] S20=10(4+19) S20=10(23) S20=230Answer: 1180
Step-by-step explanation:
since its going 2,8,14,20, we can see it goes up by 6 every time Add 6 every time until u have 20 Numbers in total(including 2,8,14,20) then add them together to get ur total
Simplify the expression:
[tex] ({2x + 5y})^{2} - ({3x + 4y})^{2} [/tex]
Step-by-step explanation:
the answer is in the picture
Answer:
3x+18y
Step-by-step explanation:
2x+5y+2x+5y-3x+4y+3x+4y
2x+2x-3x+3x+5y+5y+4y+4y
4x-x+10y+8y
3x+18y
Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.
Answer:91
Step-by-step explanation:
Plot points on the number line to represent all whole numbers that round to 200 to the nearest hundred and 250 when rounded to the nearest ten.
Answer:
To round a number to the nearest hundred, you make it into the hundred that is closest. Take the number 246, for example, which is between 200 and 300. It is closer to 200. So 246 rounded to the nearest hundred is 200.
if you help me you are a sweet sweet sweet angel
Answer:
the last option
option four or D
Step-by-step explanation:
have a great day :)
Complete the Big X by filling in the blank.
Answer:
Blank 1: 3
Blank 2: 6
Step-by-step explanation:
When doing the X method, the numbers on the sides(3 and 6) have to add up to the number on the bottom (9) and multiply to get the number on the top(18)
Count the units from (2,4) to (-2,-6).How many blocks are between Jenna’s apartment and Zac’s house
Answer:
Distance = 10.77 unit (Approx.
Step-by-step explanation:
Given:
Coordinate of Jenna's house = (2,4)
Coordinate of Zac's house = (-2,-6)
Find:
Distance
Computation:
Distance = √(X1 - X2)² + (Y1 - Y2)²
Distance = √(2 + 2)² + (4 + 6)²
Distance = √(2 + 2)² + (10)²
Distance = √16 + 100
Distance = √116
Distance = 10.77 unit (Approx.
Answer please 10 points
Answer:
3/4 to 9/6
Step-by-step explanation:
What is the missing step in this proof? look at picture
Answer:
The missing step in that proof is E
A train travels 73 1/3 miles in 3/2 hour. What is its speed in miles per hour?
Speed per hour = distance / time
Speed = 73 1/3 / 3/2
Speed = 220/3 / 3/2
Speed = 220/3 x 2/3
Speed = 440 /9
Speed = 48 8/9 miles per hour.
A 2-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is 74 ft. How much farther does a wheel on the outer travel than a wheel on the inner rail of the track in one turn ?
Answer:
As we know the formula for "Circumference of circle": Since we have also mentioned that there is 2 feet wide circular track for a camera dolly. Therefore, A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.
Step-by-step explanation:
i hope it helped
The probability that lucy will do. The drawing is 0.125. What is the probability that she will not win
Answer:
probability is alway 1 or less than 1
therefore the probability is 0.125/1
Find the quadratic root of 3 x² - 4x + 2
Answer:
it has no real roots.
and the 2nd answer is correct.
Step-by-step explanation:
Answer:
this quadratic equation has two roots:
x = (2+i√(2))/3 , (2-i√(2))/3
Steps:
3x²-4x+2=0
x = (4±√((-4)²-4×3×2))/2×3
x = (4±√(16-24))/6
x = (4±√(-8))/6
x = (4±√(-2×4))/6
x = (4±√(-2)×√(4))/6
x = (4±i√(2)×2)/6
x = (2±i√(2))/3
x = (2+i√(2))/3 , (2-i√(2))/3
help meeeeee plzzzzzz asap Find the area of the shaded regions.
Area of a circle is PI x r^2
The radius of the large circle is shown as 8 m
The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m
The radius of the small circle would be 2m
Area of large circle = pi x 8^2 = 64pi = 200.96 square m
Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.
Area of small circle = pi x 2^2 = 4pi = 12.56 square m.
The area of the shaded region = large - middle + small
Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.
the co-terminal angle of -120°
Answer:
-480°, 240° (among others)
Step-by-step explanation:
± 360
Which of the given numbers is not a Pythagorean triplets. *
1 point
8,15,17
9,40,41
4,7,8
Step-by-step explanation:
By Pythagoras' Theorem,
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is always the largest number.
a and b can be interchangeable between the 2nd largest and the 3rd largest numbers.
Given a = 8, b = 15 and c = 17,
[tex] {a}^{2} + b {}^{2} = {8}^{2} + {15}^{2} \\ = 64 + 225 \\ = 289 \\ \\ {c}^{2} = {17}^{2} \\ = 289[/tex]
Since c^2 = a^2 + b^2 , 8 , 15 and 17 are pythagorean triplets.
Now let's move on to 9, 40 and 41.
[tex] {a}^{2} + {b}^{2} = {9}^{2} + {40}^{2} \\ = 81 + 1600 \\ = 1681 \\ \\ {c}^{2} = {41}^{2} \\ = 1681[/tex]
Since c^2 = a^2 + b^2 , 9 , 40 and 41 are pythagorean triplets.
Last let's move on to 4,7 and 8.
[tex] {a}^{2} + {b}^{2} = {4}^{2} + {7}^{2} \\ = 16 + 49 \\ = 65 \\ \\ {c}^{2} = {8}^{2} \\ = 64 [/tex]
Since a^2+b^2 IS NOT EQUAL to c^2, 4,7 and 8 ARE NOT pythagorean triplets.
You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month (assuming you don't charge anything new to the card)? Disclaimer: this is treating credit cards as an amortized loan, which they are not.
Answer:
$65?
Step-by-step explanation:
What is -3v = 15 like I need this answer!!
Answer:
v = -5
Step-by-step explanation:
Answer:
v=-5
Step-by-step explanation:
-3 times -5= 15
I neee help Please!!!
Below is the graph of f(x) = 3 log10^ x. How would you describe the graph of
g(x) = 9 log10^x?
A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
O
D. g(x) stretches f(x) vertically by a factor of 3
Answer:c
Step-by-step explanation:
Answer:D g(x) stretches f(x) vertically by a factor of 3.
Step-by-step explanation: ape3
10 to the second power minus 2 x (8) + 11
4.
What equation has the missing number?
50/5=
?
a. 50 x 5 =
b. 50-5=
c. 5+) = 50
d. 5x = 50
Need answer asap, correct answer will get brainliest.
Answer: Second choice
Step-by-step explanation: Think of it as "folded on" x axis insted of "reflected on" to help visualize.
You are a plumber who needs to replace a broken pipe that is 12.5 feet long. You have 2 pipes, A and B, that are
3.75 meters and 4.25 meters long, respectively. A pipe longer than the broken pipe can be cut to fit.
Which pipe can be used to complete the task, and why?
Answer:
the 4.25 m pipe because it is longer than 12.5 feet. The 3.75 m pipe is too short
Step-by-step explanation:
You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires 15858 quarts of paint, and each chair requires 2323 quarts of paint. How many total quarts of paint should you bring to paint this furniture?
Step-by-step explanation:
Let t be the number of tables
Let c be the number of chairs
Total paint needed = 15858t + 2323c
Given t = 2 and c = 8, substitute t and c into expression to find total paint needed
Total Paint needed = 15858(2) + 2323(8)
= 31716 + 18584
= 50300 quarts of paint
User: Jaylian.)
Learning farm
Daily PSSA prep 4/30 Friday
Question 8 of 15
52:38
>
Question: Last year, 7,000 people registered to go to a comic book convention. This year, the
number of people who registered increased by 5%. How many people registered for
this year's convention?
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Copy: 2020
Answer:
7350
Step-by-step explanation:
I hope this helps.
Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term
is two times the fifth term. Find the common difference and the first term.
Answer:
The first term is -6 and common difference is 3
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
Tn = a + (n-1)d
T3 = a+2d
T4 = a + 3d
If the third term of an arithmetic sequence less than the fourth term by three
T3 = T4 - 3
a+2d = a+3d - 3
2d - 3d = -3
-d = -3
d = 3
Similarly;
T7 = a+6d
T5 = a+4d
If the seventh term is two times the fifth term, the;
T7 = 2T5
a+6d = 2(a+4d)
a+6d = 2a+8d
Since d = 3
a + 6(3) = 2a + 8(3)
a+18 = 2a + 24
a-2a = 24 - 18
-a = 6
a = -6
Hence the first term is -6 and common difference is 3
Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a mathematics course, and 135 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from this group is enrolled in each of the following?
a) an economics and/or a mathematics course.
b) exactly one of these two courses.
c) neither an economics course nor a mathematics course.
Solution :
Let A = Economics, B = Mathematics
n(A) = 311, n(B) = 243, [tex]$n(A \cap B) = 135$[/tex]
a). So, [tex]$n(A \cup B) = n(A) +n(B) - n(A \cap B)$[/tex]
= 311 + 243 - 135
= 419
b). n(A only) = 311 - 135
= 176
n(B only) = 243 - 135
= 108
Exactly one of these two courses
[tex]$=\frac{176+108}{500}$[/tex]
= 0.568
c). Neither economics nor mathematics
[tex]$=\frac{500-419}{500} $[/tex]
[tex]$=\frac{81}{500}$[/tex]
= 0.162
If (8, 12) and (3, 4.5) belong to a proportional relationship, what is the constant of
proportionality?
Answer:
1.5
Step-by-step explanation:
k= y/x
y= 12-4.5 = 7.5
x= 8-3 = 5
k = 7.5/5 = 1.5
1. Solve the following system of equations. (Hint: Use the quadratic formula.)
f(x) = 2x^2-3x-10
g(x) = -3x^2+20
Answer:
[tex]f(x)=\frac{3+\sqrt{89} }{4} or \frac{3-\sqrt{89} }{4}\\g(x) = \frac{2\sqrt{15} }{3} or -\frac{2\sqrt{15} }{3}[/tex]
Step-by-step explanation:
f(x):
a=2 b=-3 c=-10
g(x):
a=-3 b=0 c=20
I need help on this!!
Answer:
C and A
Step-by-step explanation:
Part 1.
The area of a trapezoid is base 1 + base 2 divided by 2 times height.
Base 1 is 38, base 2 is 14, and the height is 16.
38 + 14 = 52, 52 / 2 = 26, and 26 x 16 = 416.
The answer is C, 416.
Part 2.
The area of a kite is diagonal 1 times diagonal 2 divided by 2. The length of diagonal 1 is 12 (on the left) + 12 (on the right) = 24. The length of diagonal 2 is 10 (on the top) + 18 (on the bottom) = 28.
28 x 24 / 2 = 336.
The answer is A, 336
Answer:
336
Step-by-step explanation:
In the figure, there are four triangles
Total Area = sum of four triangles areas
0.5(12*18)*2+0.5(12*10)*2=336