Here's the question.
Answer:
The value of T₂₀ - T₁₅ is -20.
Step-by-step explanation:
Given :
>> If for an A.P, d = -4To Find :
>> T₂₀ - T₁₅Using Formula :
General term of an A.P.
[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]
>> Tₙ = nᵗʰ term>> a = first term>> n = no. of terms>> d = common differenceSolution :
Firstly finding the A.P of T₂₀ by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]
[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]
Hence, the value of T₂₀ is a + 19d.
[tex] \rule{190}1[/tex]
Secondly, finding the A.P of T₁₅ by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]
[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]
Hence, the value of T₁₅ is a + 14d
[tex] \rule{190}1[/tex]
Now, finding the difference between T₂₀ - T₁₅ :
[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]
[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]
[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]
[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]
Hence, the value of T₂₀ - T₁₅ is -20.
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
Sketch the graph of f(x) = 1/2x + 5
The graph is in the image.
7+4(r+3)=9r-6
show work pls AND HELP ASAP
[tex] \: \: \: \: \: \: [/tex]
[tex] = \: \: \: \: r = 5[/tex]
Step-by-step explanation:
[tex]7 + 4(r + 3) = 9r - 6[/tex]
distribute 4 through the parentheses[tex]7 + 4r + 12 = 9r - 6[/tex]
add numbers[tex]19 + 4r = 9r - 6[/tex]
move the variable to the left hand side and change its sign[tex]19 + 9r = - 6[/tex]
move the constant to the right hand side and change its sign[tex]4r - 9 = - 6 - 19[/tex]
collect like terms[tex] - 5r = - 6 - 19[/tex]
calculate the difference[tex] - 5r = - 25[/tex]
divide both sides of the equation by -5[tex] = \: \: \: \: r = 5[/tex]
hope it helpsFind the median and mode of the following data:
a) 5, 9, 3, 4, 9, 2, 1, 3, 6.
b) 60, 67, 62, 61, 63, 65, 64, 68, 60.
–A – 22 = –2A – 30
pls
Answer:
A= -8
Step-by-step explanation:
-A - 22=-2A-30
+2A +22
A = -8
Negative ten is equal to ten times the difference between a number and nine.
all stages of work without the links
Answer: start out with -10=10 x n-9
next divided 10. -10 divided by 10 = -1
-1 = n-9
now add 9 to both sides
8 = n
there is your solution!!!
Step-by-step explanation:
socks cost $2 per pair. the cost of n pairs $2n. john says that the cost of 6 pairs is $26 and the cost of 7 pairs is $27. is this correct? what did john do wrong?
Answer:
John is incorrect. He did not multiply.
Step-by-step explanation:
If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.
1 pair is $2.
2 pair are $4.
3 pair are $6.
4 pair are $8.
5 pair are $10.
6 pair are $12.
7 pair are $14.
13 pair are $26.
There is no way to spend $27 on these socks.
25 pair are $50.
Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.
6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.
David has $90 to spend on sneakers. The sales tax in his state is 6%.
Vincent has $95 to spend on sneakers. The sales tax in his state is 9%.
Both boys are interested in a pair of sneakers that costs $86. Who will be able to buy the sneakers?
Answer:
Vincent will be able to buy the sneakers, while David will not be able too.
Step-by-step explanation:
I believe this is true because for David,
6% of 86$ is 5.16$
so 86 + sales tax (which is 5.16) = 91.16$
David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.
While for Vincent,
9% of 86$ is 7.74$
so 86 + sales tax (which in this case is 7.74) = 93.74
Vincent has 95$ to spend so he can afford the shoes.
I am not exactly sure if all calculations are correct, but I hope this helps! :)
Answer:
Vincent
I took the test on edg
piecewise functions. please help it’s for a test. please write the tables! i will give out brainliest!!
Answer:
Second Table:
1 | 0
3 | -2
Sorry I can’t do the rest I have to go study for my midterm! Hope this helps a bit
Step-by-step explanation:
Can someone please help?
Answer:
(B) 26°
Step-by-step explanation:
The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.
∠ACB = 90° -64°
∠ACB = 26°
which is the better deal $2.98 for 2 liters of soda or $7.40 for 5 liters? find the unit price of the better deal on the coloring sheet.
Answer:
7.40 for 5 liters
Step-by-step explanation:
2.98/2= 1.49
7.40/5= 1.48
Hope this Helps :)
Can u mark me the brainliest
2. The wholesale price of the skirt is $12 and the retail price is $24.
How much is the markup?
nah
So ein
What percent of the wholesale price is the markup?
With the sale price being $12 and the retail price being 24, it is a 12 dollar markup or 50% considerably.
What is the sum of the following
(k – 4) and (k + 3)
Please fast needed
Answer:
2k-1
Step-by-step explanation:
(k-4)+(k+3)
k+k=2k
-4+3=-1
Answer:
2k-1
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
In a class there are 48 students.the number of girls is 3 times their boys . how many boys and girls are there in the class??please help!
Answer:
12 boys, 36 girls
Step-by-step explanation:
We can use systems of equations to solve this using substitution.
Let b = # of boys in the class
Let g = # of girls in the class
b + g = 48
g=3b
b+(3b)=48
4b=48
b=12
12*3=36
Check:
36+12=48
3 MS Wingate's coffee table is 7 feet wide the length of the coffe table is 8 times the width what is the perimeter of the coffe table?
PLS HELP!!! WILL MARK BRAINLIEST!!
Answer:
D
Step-by-step explanation:
There are 16 pieces of candy. Jack
has 5 empty bogs and puts 3 pieces
of candy nto each bag How many
pleces of candy are left?
2
Which is the equation of a line that has a slope of 3 and passes through point
(-3,-1)?
2
1o -+1
O y=-3x+1
O y=-x+3
O y=-x-1
=
O y=-x-3
Answer:
Step-by-step explanation:
We'll start with the slope intercept form of a straight line equation:
y = mx + b, where x is the slope and b the y-intercept. The slope we are given is 3, so:
y = 3x + b
We need a value of b that will force the line to go through (-3,-1). Do this by entering that point in the equation and solving for b:
y = -3x + b
-1 = 3(-3) + b
b = 8
y = 3x + 8
Express 0.16 bar as a rational number
Each of three friends Lynn Jada and Andre has the goal of raising $40 how much money did each person raise according to the following Jada raise 50% of her goal
Answer:
is it 60$
Step-by-step explanation:
because if its 100% than it would be 40+40+40
due to 50% = 120 ÷50%
= 60
A line passes through the points (0, 2) and (2, 10). What is its equation in slope-intercept form?
Answer:
y = 4x + 2Step-by-step explanation:
The slope-intercept form:
y = mx + b, where m is the slope, b is the y-interceptFind the slope using given points:
m = (10 - 2)/(2 - 0) = 8 / 2 = 4The y-intercept is given with point (0, 2):
b = 2The line is:
y = 4x + 2[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]
Put in slope intercept form
[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]
[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]
[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]
Equation of the line
[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]
Can someone pleaseee answer this
Answer:
Answer is in the attached file.
Answer:
x = 80
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
2x -48 = x +32
x = 80 . . . . . . . . . . add 48 -x to both sides
Your family goes to a restaurant for dinner. There are
12 people in your family. Some order the chicken dinner for
$14.99 and some order the steak dinner for $25. if the total
bill was $219.92, how many people ordered each type of
dinner?
Answer:
8 chicken and 4 steak .
Step-by-step explanation:
8 x 14.99 = 119.29
4 x 25 = 100
help me with this question plzzzzzzz
Answer:
The base is 9.4 milliliters
Step-by-step explanation:
First, you would notice that they give you the perimeter of it. Meaning 51.4 was a sum of adding the height and base length twice. So you would take 51.4 and subtract 16*2 from it. Which would be 19.4. Next, since 19.4 would be both bases added, and they are both the same, you would do 19.4/2=9.4
The base is 9.4 milliliters.
Answer:
9.7
Step-by-step explanation:
P=2B+2H=51.4
B+H=25.7
H=16
B=25.7-16
B=9.7
A furniture store donated a percentage of every sale to hospitals. The total sales were $7,125 so the store donated $570. What percent of 7,125 was donated to hospitals
Answer:
8%
Step-by-step explanation:
570 / 7125 = x / 100
Cross multiply
570 * 100 = 7125x
57000 = 7125x
Divide each side by 7125
8 = x
______________ Angles have each of the pairs of opposite angles made by two intersecting lines *
1 point
Supplemnatary
vertical
adjacent
linear pair
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is B. Vertical
Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .
Answer:
vertical
✌️❤️✌️
......
please please i beg help for brainlist !!!!!!!!
Answer:
[tex]a_n=\frac{1}{2}a_{n-1}[/tex]
Step-by-step explanation:
Here, you can see every consecutive term is divided by 2. I think that's pretty obvious looking at it, but you can work it out like this if you'd like to. Divide each consecutive term by the one before it:
[tex]6\div12=\frac{1}{2}\\\\3\div6=\frac{1}{2}\\\\\frac{3}{2}\div3=\frac{1}{2}[/tex]
Each term is multiplied by 1/2 over the last, or divided by 2. In this case actually, we do want it in the form of "multiplied by 1/2", as the recursive equation is:
[tex]a_n=xa_{n-1}[/tex]
where x is the factor. Here, we're multiplying by x, so we want "multiplied by 1/2" as described above. x is 1/2, so you can write the equation:
[tex]a_n=\frac{1}{2}a_{n-1}[/tex]
You can simply interpret this as "each term is 1/2 of the term before it"
Use the vertical line test to determine whether the graph is the graph of a function.
AY
Is this the graph of a function?
No
Yes
Answer:
No is the answer:)
Step-by-step explanation:
Draw a straight line down the middle and if it touches the purple line twice its not a function
use the slope formula to show work
Answer:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]
1
What is the radius of a circle whose equation is x2 y2â’10x 6y 18=0? 2 units 4 units 8 units 16 units.
The radius of the circle is 4 units.
Given to us:
[tex]x^2 + y^2 - 10x + 6y + 18 = 0[/tex]
The generalized format for radius of a circle is given by:
[tex]\\(x - h)^2 + (x - k)^2 = a^2\\where,\\h, k= coordinate\ of\ the\ center\ of\ the\ circle\\a= radius\ of\ the\ circle[/tex]
therefore after rearrangement of the equation we get,
[tex]x^2 + y^2 - 10x + 6y + 18 = 0,\\x^2 - 10x + y^2 + 6y =- 18,\\[/tex]
adding 25 and 9 on both the sides to bring it in the generalized format for radius of a circle,we get
[tex]x^2 - 10x+25 + y^2+ 6y+9 =-18+25+9,\\[/tex]
[tex](x - 5)^2 + (y + 3)^2 = 16\\(x - 5)^2 + (y + 3)^2 = 4^2\\[/tex]
Hence, the coordinate for this circle are x=5 and y=-3. And the radius of the circle is 4 units.
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