Mathematics High School

Here's the question. ​

Here's The Question.

Answers

Answer 1

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

>> If for an A.P, d = -4

To Find :

>> T₂₀ - T₁₅

Using 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 difference

Solution :

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

Solve for the variable 2y<14 A) y<12 B) y>-7 C) y>7 D) y<7

Answers

Answer:

D) y < 7

Step-by-step explanation:

So we have 2y < 14:

To solve, we will simply divide by 2 on both sides in order to isolate the y value. Now we have y < 7.

Hope this helps you :)

What is the L.C.M of 45 80 and 135

Answers

Answer:

LCM = 2160

Step-by-step explanation:

lcm of 45 80 and 125 is 2160 because LCM = 2160

Answer:

the answer is (that I found) is 2160

HELP ! Will give brainliest

Answers

Answer:

look it up thats what i do

Step-by-step explanation:

1 is increasing because its going up, 2 is constant since it doesn’t move anywhere, 3 is decreasing because its going down , 4 is constant not moving anywhere like 2 and 5 is decreasing going down graph is non- linear

hehehehehehhhehehe help

Answers

Answer:

Y=2

Step-by-step explanation:

If x=3 we can see that every two lines is 1 number up then the last

same for y access. Y=-2

Answer:

-2

Step-by-step explanation:

what is 0.1 is 1/10 of what number???

Answers

0.1 of 1/10 is...10.

Answer: 1

Step-by-step explanation:

0.1 is 1/10 of the number 1

Brainliest please? Im trying to get to Virtuoso

A car travels 15 km in 13 minutes. What is its average speed in km/h?

Answers

Answer:

69.45 km/h

Step-by-step explanation:

Speed = Distance/Time=> Speed = 15 km ÷ 13/60 => Speed = 15 km ÷ 0.216=> Speed = 15 km/0.216=> Speed = 15 x 4.63/0.216 x 4.63=> Speed = 69.45 km/1 h (Approximate)

Conclusion:

Therefore, the speed is 69.45 km/h (Approximate)

Hoped this helped.

Find the missing base.
Write your answer as a whole number.
?^2=36

Answers

Answer:

6

Step-by-step explanation:

6^2 = 36

hope this helps! :D

have a miraculous day!! <3

Convert the following from factored form to standard form.



f\left(x\right)=\left(x+5\right)\left(x-1\right)f(x)=(x+5)(x−1)

Answers

Answer:

the mmic is back still swords rund eep

Step-by-step explanation:

20) A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test

Answers

Answer:

50-50 chance I suppose (1/2 or 5/10) or 40% to 60% percent chance

Step-by-step explanation:

He can guess all of the questions and get all of them right, and it is a possibility that he can also get all of them wrong. So I say, 50-50. I can't lie, I'm having trouble with probability as we speak.

C. Because slope =
rise over run the slope of a "downhill" line must be
run

Answers

I can’t find the question what is it

The table shows the average temperatures of different cities on a particular day. On a number line, which city's temperature will be between the temperatures of Manning and Stanville?

Answers

Answer:

chicken tender

Step-by-step explanation:

rgerr

Answer:

Step-by-step explanation:

1+1 pls omg its impossible

Answers

Answer:

it equals 11 haha !

Step-by-step explanation:

have a great day/night :)

Answer:

2

Step-by-step explanation:

1 + 1 = 2

This is because one digit (1) is being added to another one digit (1), giving the answer of two digits, or 2.

Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.

Answers

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

this we use in the second

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she worked 14 hours on job A and 9 hours on job B.

What is the slope of the line2y+x=-3. Write your answer in simplest form.

Answers

Answer:

x+2y=-3

Step-by-step explanation:

help me please
If an item is 40% off with an additional 20% off on top of the sale price, what is the percent savings?

Answers

Answer: 60%

Step-by-step explanation: if the question is saying the item was already 40% an ADDITIONAL (adding) 20% will make the item 60% off meaning your percentage of savings is 60%

What are some possible solutions for the following?

Answers

Answer:

After solving the problem, the answer is x>1/2. However I do not see the answer choice provided so I do not know the answer to the question

Step-by-step explanation:

A runing track is 400m long. Carrie runs wight laps. How far is this in kilometres.

Answers

Multiply length of track by number of times run:

8 x 400 = 3,200 meters

1 km = 1000 meters

3200 meters / 1000 = 3.2 kilometers

Answer: 3.2 kilometers


8. A 20 point test was given to two classes. Each class had results shown in the box plots below. Which of the
two classes has the greater interquartile range?

Answers

the first class has the greater interquartile range.

jill spent $215.70 on books. math books cost $28.50 and english books cost 21.70. if she bought a total of 9 then how many of each kind did she buy

Answers

Jill bought 3 Math books and 6 English books.

Pleaseeeeee help! I don’t understand and I just wanna go to sleep but this is due in 35 minutes

Answers

Answer:

69

Step-by-step explanation:

it is 69 becuase 4x-7+11x-8 equals 69

We have: 2.(4x - 7)° + 2(11x - 8)° = 360°

So: 8x - 14 + 22x - 16 = 360°

<=> 30x - 30 = 360°

<=> 30(x - 1) = 360°

<=> x - 1 = 12

<=> x = 13°

We know: ∠G = ∠F = (11x - 8)° = ( 11.13-8)° = 135°

The answer: ∠G = 135°

Ok done. Thank to me :>

Find the slope of the line from the points and the graph.
15. (2,4) and (5, 13)
16. (4,5) and (9,-3)

Answers

(2,4) and (5,13) is m=-1/3 and (4,5) and (9,-3) is m=-8/5

Answer:

15. m=3 16. m=-8/5 or -1.6

Step-by-step explanation:

The formula for slope is m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

so for #15

[tex]\frac{13-4}{5-2}[/tex]=[tex]\frac{9}{3}[/tex]=3

and for #16

[tex]\frac{-3-5}{9-4}[/tex]=[tex]\frac{-8}{5}[/tex]=-1.6

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL


A 10 cm cube is built from small cubes, each 1 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
2:1
3:1
11:1
10:1

Answers

Answer:

10:1

Step-by-step explanation:

This ratio is N to n for all answers. (N = Larger than n, n = Smaller than N)

Look at the Larger number. (10)

Look at the Smaller number. (1)

Turn 10 and 1 into a ratio. (10:1)

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table

m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (3, 1 )

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of linear function

In triangle QRS the measure of angle RSQ is 50 degrees , and the measure of angle QRS is 37 degrees. What is the measure of angle SQR in degrees?

Answers

Answer:

[tex] < rsq + < qrs + sqr = 180 \\ 50 + 37 + < sqr = 180 \\ < sqr = 180 - (50 + 37) \\ < sqr = 180 - 87 \\ = 93[/tex]

I hope it helps you

I need help with this question ​

Answers

Answer:

The time may be calculated by making the equations equal each other:

2w +7 = .5w + 10

1.5w = 3

weeks = 2

Step-by-step explanation:

The function f(x)is graphed on the coordinate plane.

What is f(−2)?



Enter your answer in the box.

f(−2) =

Answers

Answer:

f(-2) = -2

Step-by-step explanation:

f(-2)  means find the y value when x = -2

The y value when x = -2 is-2

f(-2) = -2

Craig sells cabinets at a 600% percent markup from the cost of materials. He spent $2000.00 on the materials for cabinets he just built. What will be the price he sells those cabinets for?

Answers

Answer:

3781

Step-by-step explanation:

80 hours × $18=$1440 for labor. 1440+15%(1440×.15)=$216.00 + material cost=$2125

(2125.00+1440.00+216=3781)

Find e and d
3e+d=8
2e+d=8​

Answers

Answer:

Step-by-step explanation:

3e+d=8
2e+d=8
Multiply the second equation by -1
You get
-3e-d=-8
Use eliminating methods
-3e-d=-8
2e+d=8
We get
-e=0
So e=0
Find e by substitute it in one of the equation
2*0+d=8
D
d=8

Which are the intercepts of the equation y+2=4(x+1) ?

Answers

Answer:

y=2×5

Step-by-step explanation:

sorry if im wrong

It believe is Y=4x+2

Solve for u. (u + 6)(u − 6) = 0

Answers

Answer:

u= 6, -6

Step-by-step explanation:

simplify the equation. Isolate the variable.

Hey there!

(u + 6)(u − 6) = 0

DISTRIBUTE “u” WITHIN the PARENTHESES

u(u) + (-6) + 6(u) + 6(-6) = 0

u^2 - 6u + 6u - 36 = 0

COMBINE the LIKE TERMS

u^2 - 36 = 0

ADD 36 to BOTH SIDES

u^2 - 36 + 36 = 0 + 36

CANCEL out: -36 + 36 because it gives you 0

KEEP: 0 + 36 because it helps solve for the u-value

NEW EQUATION: u^2 = 0 + 36

SIMPLIFY IT!

0 + 36 = 36

NEW EQUATION: u^2 = 36

TAKE the SQUARE ROOT

u = ± √36

u = -6 or u = 6

Therefore, your answer is: u = 6 or u = -6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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