Answer:
-0.1
Step-by-step explanation:
just did it
The common difference in the given sequence is 0.1, gotten by subtracting second term from the first term
Common DifferenceA common difference is a value that describes the step or the diference between two items in a sequence, it is also a value that follows a pattern.
Common difference can either by whole numbers or decimal.
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I need help on this mathematical equation B is the Midpoint of AC.
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
B is the midpoint of AC so AB = BC.
AB + BC = AC
AB + AB = AC
2(AB) = AC
[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]
Expand:
[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x-6+6=10x+10+6[/tex]
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]18x-10x=10x+16-10x[/tex]
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{16}{8}[/tex]
[tex]x=2[/tex]
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
First, we know that the entire segment adds up to 5(2x+2). In other words:
[tex]AB+BC=5(2x+2)[/tex]
Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:
[tex]AB=BC[/tex]
Since we know that, let's substitute BC for AB in the first equation:
[tex]AB+BC=5(2x+2)\\[/tex]
This is equivalent to:
[tex]AB+AB=5(2x+2)[/tex]
Combine like terms:
[tex]2AB=5(2x+2)[/tex]
And since we know that AB is 3(3x-1), substitute:
[tex]2(3(3x-1))=5(2x+2)[/tex]
Now, solve for x.
Distribute the left side:
[tex]6(3x-1)=5(2x+2)[/tex]
Distribute both sides:
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]x=2[/tex]
So, the value of x is 2.
And we're done!
Notes:
You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:
[tex]AB=BC=3(3(2)-1)=15[/tex]
And the entire length AC is:
[tex]AC=2(15)=30[/tex]
Which two binomials in part A didn't have an equivalent factored form? What made these expressions different from the
three that you could factor?
The two that didn’t have equivalent factored forms were x^2+16 and 16x^2+9
Answer:
The binomials 16x2 + 9 and x2 + 16 didn’t have an equivalent factored form. Both are sums of perfect squares instead of differences.
Step-by-step explanation:
Official answer
compare 5.7145 repeating and the square root of 29
Answer:0.3293
Step-by-step explanation:
-x-2y-4z=-6
X-5y-2z=-2
2x-3y+2z=2
Answer:
[tex]\sqrt{2} or (1/2)[/tex]
Step-by-step explanation:
If m<2=98, m<3=23, and m<8=70 find the measure of each missing angle
Answer/Step-by-step explanation:
Given:
m<2 = 98,
m<3 = 23,
m<8 = 70
m<1 + m<2 = 180° (linear pair)
m<1 + 98 = 180 (substitution)
m<1 = 180 - 98 (subtracting 98 from each side of the equation)
m<1 = 82°
m<2 + m<3 + m<7 = 180° (sum of angles in a triangle)
121 + m<7 = 180 (substitution)
m<7 = 180 - 121 (subtracting 121 from each side)
m<7 = 59°
m<4 = m<7 (alternate angles are congruent)
Therefore,
m<4 = 59°
m<5 + m<4 + m<3 = 180° (angles on a straight line)
m<5 + 59 + 23 = 180 (substitution)
m<5 + 82 = 180
m<5 = 180 - 82 (subtracting 82 from each side)
m<5 = 98°
m<6 + m<7 + m<8 = 180° (angles on a straight line)
m<6 + 59 + 70 = 180 (subtitution)
m<6 + 129 = 180
m<6 = 180 - 129 (subtracting 129 from each side)
m<6 = 51°
m<9 + m<8 + m<4 = 180° (sum of triangle)
m<9 + 70 + 59 = 180 (substitution)
m<9 + 129 = 180
m<9 = 180 - 129
m<9 = 51°
m<10 + m<9 = 180° (linear pair)
m<10 + 51 = 180° (substitution)
m<10 = 180 - 51
m<10 = 129°
Jordan borrowed some money from his friend in order to help buy a new video game
system and agreed to pay the friend back a constant amount each week. Jordan
originally borrowed $120 from his friend and after 2 weeks, he still owed his friend
$90. Write an equation for L, in terms of t, representing the amount Jordan owes
his friend after t weeks.
Answer:
l=-15t+120
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total amount borrowed = $120
Amount left to pay after 2 weeks = $90
This means,
In 2 weeks the amount paid.
= 120 = 90
= $30
The amount paid per week is constant.
2 week = $30
Divide both sides by 2.
1 week = $15
Now,
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
Thus,
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
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a bin contains 26 markers four students each choose the same number of markers if they choose as many markers as possible how many markers are left in the bin
Please Help Me Which letter represents Chinese dynasties? Which letter represents the birthplace of Hinduism? Which letter represents the beginning of the Hebrew culture?
Step-by-step explanation:
chinese dynasties=C
Hinduism birthplace=B
Hebrew culture=A
help please!
find the value of x so that the figures have the same perimeter
Answer: 7
Step-by-step explanation: For the first figure, 7 + 3 = 10, so the perimeter would be 10 + 10 + 7 + 7, which equals Perimeter = 34. For the other figure, 7 - 4 = 3, so 3 + 14 + 14 + 3 = 34, also. Hope this helps!
Find all roots.
11) x^3 + 6x² + 5x = 0
Answer:
x=0
x=-1
x=-5
Step-by-step explanation:
To find the roots, we set the equation equal to zero and factor.
x(x²+6x+5)=0 [factor]
x(x+1)(x+5)=0 [set each factor equal to 0]
x=0
x+1=0 [subtract both sides by 1]
x=-1
x+5=0 [subtract both sides by 5]
x=-5
Now, we have found three roots, x=0, x=-1, x=-5.
∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21) ∘ and m\angle B=(2x-15)^{\circ}∠B=(2x−15) ∘ , then find the measure of \angle A∠A.
Answer:
A = 21 degrees
Step-by-step explanation:
Here in this question, we are told to calculate the value of angle A.
When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.
Hence;
A + B = 90
This means that;
(x-21) + (2x -15) = 90
x + 2x -21-15 = 90
3x -36 = 90
3x = 90+ 36
3x = 126
x = 126/3
x = 42
But we are told to calculate the measure of A
A = x -21
A = 42-21
A = 21 degrees
Answer:
21
Step-by-step explanation:
Solve the literal equation cy−7=5d+3y for y.
y=
Answer: y = 5d + 7 / c - 3
Step-by-step explanation:
Step 1: Add -3y to both sides
cy - 7 + -3y = 5d + 3y + -3y
= cy - 3y - 7 = 5d
Step 2: Now, add 7 on both sides
cy - 3y - 7 +7 = 5d +7
= cy - 3y = 5d +7
Step 3: Factor out y
y(c - 3) = 5d + 7
Step 4: Divide both sides by c-3
y(c - 3) / c - 3 = 5d+7 / c-3
Your answer for this should be
y = 5d + 7 / c - 3
Hope this helped!
Round the following numbers to 2 decimal places 3526.48502 12.6433 0.2099
Step-by-step explanation:
3526.49 12.64 0.21
I hope this helps
Answer:
3526.49
12.64
.21
Step-by-step explanation:
1. On the left of the decimal place, take the third number and if it is = to or higher than 5, round the second number up by 1.
3526.485 becomes 3526.49
2. If it is lower than 5, then just leave the second number alone.
12.6433 becomes 12.64
3. If it is a decimal place number, just take the third number and if it is higher than 5, increase the second number.
.2099 becomes .21
What is the simplified form of each expression? Use
the Distributive Property.
a. (j + 2)7
b. -8(x-3)
c.-(4-0)
d. -(11 + 2b)
a. 7j + 14
b. -8x + 24
c. -4 + 0
d. -11 - 2b
A vendor at a baseball game sells boxes of popcorn and bags of pretzels.
• A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.
• Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00.
Each bag of pretzels costs $
Answer:
Each bag of pretzels costs $1.75
Step-by-step explanation:
Let the cost of 1 box of popcorn be $x
Let the cost of 1 bag of pretzel be $y
_______________________________________
A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.
cost of 2 box of popcorn =2*$x = $2x
sum of cost 2 boxes of popcorn and 1 bag of pretzels in terms of x and y
2x + y = 6.75 equation A
__________________________________
Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00
cost of 2 box of pretzel =2*$y = $2y
sum of cost of 1 box of popcorn and 2 bags of pretzels in terms of x and y
x + 2y = 6 equation B
x = 6 - 2y
substituting this value of x in equation A
2(6 - 2y) + y = 6.75
=> 12 - 4y + y = 6.75
=> -3y = 6.75 - 12 = -5.25
=> y = -5.25/-3 = 1.75
Thus, Each bag of pretzels costs $1.75
.666 repeating as a fraction
please use equation
Answer:
2/3
Step-by-step explanation:
6/9 divide three on the numerator and denominator
It will give you 2/3
to check if its right
divide 2 with 3 and you will 0.666 repeating.
4 to the second power is the same as 4 squared. True or false ?
Answer:
False.
Step-by-step explanation:
Adriana earned a gross income of $46,250 last year. She made $569.10 in IRA contributions, donated $841 to her favorite charity and paid $1,399.03 in home mortgage interest. If Adriana claims a standard deduction of $5,700 and her exemption is $3,650, what is her taxable income?
a.) $34,090.87
b.) $36,330.90
c.) $39,790.87
d.) $34,931.87
Answer:
B
Step-by-step explanation:
Ronald is trying to reconstruct his spending pattern from May. He knows that he had $315 in his account on May 1, but after that, his receipts and balance statements are all scrambled. Here are Ronald’s records: Date Transaction Type Amount ($) 5/25 Purchase 66 5/18 Purchase 90 5/30 Purchase 188 5/24 Deposit 151 5/22 Purchase 152 5/8 Deposit 104 5/3 Purchase 175 5/6 Purchase 82 Assuming that this is a complete, if scrambled, record of Ronald’s May spending and that any overdraft fees incurred do not affect the running total, how many times did Ronald overdraw his account in May? a. Ronald never overdrew his account. b. Ronald only overdrew his account once. c. Ronald overdrew his account twice. d. Ronald overdrew his account more than twice. Please select the best answer from the choices provided A B C D
Answer: C. Ronaldo overviewed his account twice.
Step-by-step explanation:
Just took a test on edge.
the length of a rectangle is 3 inches m ore that its width. if the perimeter is 42 inches, what are the dimensions of the rectangle
Answer:
width is 9 length is 12 :)
Step-by-step explanation:
I'm doing this stuff rn
25 POINTS SIMPLE Identify the segment bisector of IJ. THen find IJ.
Answer:
did you ever get this answer PLEASE HELP
Step-by-step explanation:
how long is 46.287 minutes
Answer:
0.77145 hours it is also 2777.22 seconds
Step-by-step explanation:
Evaluate the indicated function for f(x) = x2 - 7 and g (x) = x+3
Answer:
-1 but your question doesn't make sense
Step-by-step explanation:
What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form. A.y= 3/5x+4/5 B.y= 3/5x-4/5 C.y=-3/5x-4/5
Slope-intercept form: y = mx + b
m = the slope
b = y-intercept.
In this problem,
m = 3/5
b = ?
So far y = 3/5x + b
Let's plug the point (-3, -1) into our slope equation.
-1 = 3/5(-3) + b
Simplify the right side.
-1 = -9/5 + b
Add 9/5 to both sides.
4/5 = b
The equation is: y = 3/5x + 4/5
Answer choice A is correct.
I need help on this question
Answer:
x=32
Step-by-step explanation:
Answer:
x= 32
Step-by-step explanation:
Remember all triangles sum up to 180 degrees.
Equation= 98+50+x=180
Step 1- Add to simplify
148+x= 180
Step 2- Subtract 148 to both sides.
148+x= 180
-148 148
x= 32
12-09-2020 11:47:00 AM 9/12/2020 10:46:26 AM
Name: Punja adhikari
Roll No 20778437
virs 5mins 3 secs
28 760
The ages of mother and her daughter are in the ratio of 5:3. If the age
of mother is 50 years, find the age of her daughter.
30 years
20 years
15 years
25 years
Answer:
the age of her daughter is 30
Step-by-step explanation:
be careful when putting your full name, ok?
Answer:
The daughter is 30 yrs old
Step-by-step explanation
just like the other guy said don't put your real name be carful they're scammers out there.
whats the final answer?
Step-by-step explanation:
Tanø=opp/adj
Tan30=x/7. (× b.s 7)
x=7Tan30
x= 4.04
-(x+3) = 2x-6 what is x
Answer:
x=1
Step-by-step explanation:
So, first you make sure to multiply the parenthesis by the negative so then it would be,
-x-3=2x-6
Then you add the -3 from the right to the other side
so, -x=2x-3
Then you want all the X variables to one side so you subtract the 2x to both sides.
so, -3x=-3
divide both by -3
x=1
expand using pascal triangle (3x+2)^4
Answer:
The answer is
81x⁴ + 216x³ + 216x² + 94x + 16Step-by-step explanation:
(3x + 2)⁴
Using the Pascal's triangle
For an exponent of 4 we have
( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³
Using a = 3x and b = 2 we have
( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴
Expand and simplify
That's
➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16
➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16
We have the final answer as
81x⁴ + 216x³ + 216x² + 94x + 16Hope this helps you
What ratios are equivalent to 7:3|. 12:9, 14:6, 11:7, 4:2,| PLZ HELP
Answer:
14:6 is the same as 7:3
Step-by-step explanation:
both variables seven and three are multiplied by the same number (2) just like with division if you do the same thing to both sides it's still equal
Answer:
14:6
Step-by-step explanation:
When 2 is divided by the two numbers, 14 and 6, it will be 7:3.