Answers
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]
Related Questions
simplest form of 76% as a fraction.
Answers
Answer:
19/25
Step-by-step explanation:
Percentages are always out of 100.
76/100 = 38/50 = 19/25
Answer:
19/25
Step-by-step explanation:
76% as a fraction is 76/100. The greatest common factor of 76/100 is 2, this simplifies to 38/50, then 19/25.
[tex]\sf -9(8-2h)[/tex]
Answers
Answer:
[tex] - 9(8 - 2h) \\ by \: distributive \: property \\ = - 9 \times 8 - ( - 9) \times ( - 2h) \\ = - 72 - 18h[/tex]
Answer:
[tex]-72+18h[/tex]
Step-by-step explanation:
[tex]-9(8-2h)[/tex]
[tex]\mathrm{Multiply}-9\:\mathrm{to\:the\:values\:in\:the\:parenthesis}[/tex]
[tex]-9(8-2h)[/tex]
[tex]-9\cdot8=-72[/tex]
[tex]-9\cdot-2=18[/tex]
[tex]=-72+18h[/tex]
The perpendicular bisector of a line segment is called
Answers
Answer:
Circumcenter
Step-by-step explanation:
Which statement best explains whether the table represents a linear or nonlinear function? (4 points)
Input Output
(x) (y)
0 1
1 2
2 4
3 16
Answers
Answer:
Step-by-step explanation:
Nonlinear, because the slope is not constant - it keeps changing.
Slope between (1,1) and (1,2) is (1/1) or 1
Slope between (2,4) and (16,3) is:
Rise = (3-4) = -1
Run = (16-2) = 14
Slope = 14/-1 or -14
Definitely not linear. The slope changes dramatically very quickly. A straight line would disapprove.
Which is greater? -4.84 or -8.48
Answers
Answer:
-4.84
Step-by-step explanation:
the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater
Answer:
-4.84
Step-by-step explanation:
Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers
Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning
Answers
Answer:
Step-by-step explanation:
fff
M=7 v=32 p=mv solve for P
I really really need help on this
Answers
Answer:
since m=7 and v=32
p= 7• 32
p= 224
why is 0.384 lighter then 0.3798
Answers
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
Answers
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
Julio is putting a rectangular pool in his backyard. The length of
the pool is 7 feet more than the width. The perimeter of the pool
is 54 feet. What is the length of the pool?
23.5
47
17
10
Answers
Answer: 17
Step-by-step explanation: Luckly, this question is multiple choice meaning that we could try all the solutions going backwords. We will start from 10. Since the length is 7 feet more than the width, we will do 10 - 7 to find the width. That gives you 3 and perimiter means we have to add up all the sides. 3 + 10 + 3 + 10 = 26 and 54 does not equal 54. Now we will do 17. 17 - 7 gives you 10. So, 17 + 10 + 17 + 10 = 54. 54 = 54 so your answer will be 17.
What is the slope of the line that passes through the points {-3,3} and {-3,13}?
Answers
Answer:
undefined
Step-by-step explanation:
Negative 12 - negative 50
Answers
Answer:
38
Step-by-step explanation:
if you're asking what (-12)-(-50) is the answer is 38 simple method to remember is KCF or KFC same thing just worded differently but it means keep change flip! hope that helped have a great day!!
Write and solve a system of THREE inequalities that models the situation below. Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.
Answers
Answer:
x = cupcakes
y = cookies
3x + 1y ≥ 205
x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205
Step-by-step explanation:
plsssssssss answer it
Answers
Answer:
Answer is -7
Step-by-step explanation:
coz if -2 equal only
- answer so answer is
-7
Find the slope of the line going through the points (-5, -10)
and (1,2)
The slope of the line is m =
Answers
Answer:
I know the answer
Step-by-step explanation:
cancerous blah blah blah blah blah blah blah blah blah blah blah blah blah blah sometime x 4.2 560/60 blah blah blah blah blah blah baba baba baba blah blah blah blah 12 1642 blah blah blah blah blah blah blah blah lol oh Lala go to Bells oh Wells
What is the sum of all integers which are not divisible by 5 or 9 between 1 and 100?
Answers
The sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.
To determine what is the sum of all integers which are not divisible by 5 or 9 between 1 and 100, the following calculation must be performed:
1 + 2 + 3 + .... + 100 = 5050 (5050 - 9 - 18 - 27 - 36 - 45 - 54 - 63 - 72 - 81 - 90 - 99 - 5 - 10 - 15 - 20 - 25 - 30 - 35 - 40 - 50 - 55 - 60 - 65 - 70 - 75 - 80 - 85 - 95 - 100) = X 3541 = X
Therefore, the sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.
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A rhombus has a side length of 6 centimeters, and a height of 2
centimeters.
What is the area of the rhombus, in centimeters??
Answers
Answer:
12 cm^2
Step-by-step explanation:
The area of the rhombus is 12 cm².
Given that, a rhombus has a side length of 6 centimetres, and a height of 2 centimetres.
We need to find the area of the rhombus, in centimetres.
What is the area of the rhombus?The formula for the area of the rhombus when base and height are known.
The rhombus is a parallelogram. We know that the area of a parallelogram is given by multiplying base and height sq units. The same is applied to the rhombus as well. Area of a rhombus = Base × Height sq units.
Now, the area of a rhombus= 6×2=12 cm²
Therefore, the area of the rhombus is 12 cm².
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Write the equation of the line graphed below in slope-intercept form.
Answers
Answer:
y=1/2x+3
Step-by-step explanation:
grabbing two points in this case (0,3) and (2,4)
we use the rise over run formula meaning it rises 1 and runs 2 so our slope is 1/2
to get the y intercept just look at where the line touches the y line in this case at 3
using the equation y=mx+b and m is slope and b is y interecpt we plug in the numbers
so we get y=1/2x+3
What coordinates should she assign to the top-right vertex if the rectangle?
Answers
it takes a 1/4 bottle glue to make slime if teacher has 15 bottles of glue how many bottles of slime can the 5th graders make
Answers
Answer:
60students
Step-by-step explanation: 4 x 15=60
This is because each bottle can make 4 slimes and if there are 15 bottles you multiply 4 by 15. Now you will receive 60.
whats the exact length of BC?
Answers
-..........The answer is b-
--------------------------------------------------------
(15)²= (9)²+(BC)²
225=81+(BC)²
BC=√144
BC=12
Answer:
B:12
Step-by-step explanation:
The length of BC is 12 because we can use the Pythagorean theorem to solve this. First, we know what the hypotenuse is 15 and the one of the side lengths which is 9. he equation to solve this is h^2-a^2 when h is 15 and a=9. So, we we plug in the info, we get 15^2-9^2 which is 15*15-9*9 which is 225-81 and that is 144. We are not done yet because we need to find the square root of 144 since we squared 15 and 9 in the first place. The √144 is 12 because 12*12 is 144. Now, we have to check! The equation is a^2+b^2=h^2 when a=12, b=9, and h=15! So, it will be 12^2+9^2=15^2 which simplifies to 144+81=225 and that is true!! So thats why it is B. Hope this helps!!!!!!
Plz mark me as brainliest
During British History from 1550-1650. What was going on in Britain during the time just before, during and just after Shakespeare lived? Who were the rulers? What was the political atmosphere? What were the people concerned about? How did the people live?
Answers
Answer:
What was going on in Britain during the time just before Shakespeare lived?
Elizabeth had settled the religious question by establishing the Church of England as the official religion of the country, insisting on church services in English, the English Bible and prayer book in churches etc, but not going as far in extreme Protestantism as, for instance, the Puritans would have liked her to do.
Step-by-step explanation:
please mark me brainliest!!
The period from 1550-1650 in British history was a time of significant political, social, and cultural change.
What is British History?England, which had absorbed Wales under Henry VIII in the 16th century, merged with Scotland in 1707 to form a new sovereign state known as Great Britain.
Here are some key events and factors that were happening during the time just before, during, and just after Shakespeare lived:
Queen Elizabeth I reigned as Queen of England from 1558 until her death in 1603.Religious strife: The 16th century in England saw religious strife, with tensions between Catholics and Protestants leading to violence and persecution.Political unrest: Throughout the 17th century, England experienced a number of political conflicts and upheavals, including the English Civil War between royalists and parliamentarians.Economic changes: Significant changes occurred in the English economy during the 16th and 17th centuries, including the expansion of international trade and the rise of capitalism.Early modern England's daily life was marked by significant social stratification and inequality.Thus, the period from 1550-1650 was a time of significant change and upheaval in England, with political, religious, and economic developments shaping the lives of its people.
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Árbol Factorial de 48
Answers
Answer:
Los factores de 48 son 1, 2, 3, 4, 6, 8, 12, 16, 24 y 48.
Help me!!! due in 2 mins!!!
Simplify??!?!?????!!!! ;). Pleeeeaaaassseee
Answers
Explanation: this is if the numerator has exponent of 12 and denominator has exponent of 6(I can’t really see)
If you need 10 cups of flour for every 6 cups of sugar, how much sugar do you need if you have only one cup of flour?
Answers
Answer:
2/3
Step-by-step explanation:
1/(3/4)=4/3(4/3)2.5
10 cups/=3.333
These steps are from a chemistry lab.
Assignment:
1. Pour 0.4 grams of salt into beaker A.
2. Add 20% of the salt from beaker A to beaker B.
3. Add 3 ounces of water to beaker B.
4. Stir the solution in beaker B.
Step 2 asks the student to pour 20%, or 0.2 of the 0.4 grams of salt from beaker A into beaker B. How many grams of salt will go into the beaker?
_______________ grams
Answers
Answer: The answer to this question is 0.08. I hope this helps!
Step-by-step explanation:
0.2 x 0.4 - 0 x 0 equals 0 - 2x4 equals 8 so that will give you 0.08
Which point is located in Quadrant III ?
(−1/2, 1/4)
(1/2, −1/4)
(−1/2, −1/4)
I will give you brainliest if you are right
Answers
Answer:
here you go :)
Quadrant lll is always both negative so the answer is (-1/2, -1/4)
Step-by-step explanation:
what is the midpoint of a segment in the complex plane with endpoints at 6-2i and -4+6i?
Answers
Answer:
1+2i
Step-by-step explanation:
midpoint: (6 + -4)/2 + (-2 + 6)/2 i
= 1+2i
In which situation would you most likely factor out -1 from a trinomial?
A. When the coefficient of x is negative
B. When the constant term is negative
C. When the coefficient of x^2 is negative
Answers
Answer:
when the coefficient of x^2 is negative
Step-by-step explanation:
Perform the following computation with radicals. Simplify the answer.
\sqrt{3}\cdot 2\sqrt{2}
Answers
Answer:
[tex]\sqrt{3}\cdot 2\sqrt{2}= 2 \sqrt{6}[/tex]
you can't simplify it any more