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liraira [26]
3 years ago
9

The number which is repeated as a factor in an exponential expression exponent 2. the fixed amount multiplied by a term to get t

o the next term in a geometric sequence radical expression 3. the (superscript) number in an exponential expression which tells how many times a factor is repeated index 4. a sequence in which there is a common ratio between the terms geometric sequence 5. the small number preceding a radical symbol that indicates the desired root of the radicand rationalize 6. expressions having the same root index and the same radicand like radicals 7. an expression that contains a radical; √7 and √21y are examples of radical expressions term 8. the expression under a radical symbol common ratio 9. eliminate the radical from the denominator of a fraction radicand 10. a set of numbers that follows a pattern, with a specific first number sequence 11. an individual quantity or number in a sequence base
Mathematics
1 answer:
swat323 years ago
8 0

Can you simplify that?

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Here's the question. ​
OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is <u>-20</u>.

Step-by-step explanation:

<u>Given</u> :

  • >> If for an A.P, d = -4

<u>To</u><u> </u><u>Find</u> :

  • >> T₂₀ - T₁₅

<u>Using Formula</u> :

General term of an A.P.

\star{\small{\underline{\boxed{\sf{\red{ T_n = a  + (n - 1)d}}}}}}

  • >> Tₙ = nᵗʰ term
  • >> a = first term
  • >> n = no. of terms
  • >> d = common difference

<u>Solution</u> :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

{\dashrightarrow{\pmb{\sf{ T_n = a  + (n - 1)d}}}}

{\dashrightarrow{\sf{ T_{20} = a  + (20 - 1) d}}}

{\dashrightarrow{\sf{ T_{20} = a  + (19)d}}}

{\dashrightarrow{\sf{ T_{20} = a  + 19  \times d}}}

{\dashrightarrow{\sf{ T_{20} = a  + 19d}}}

{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a  + 19d}}}}}}

Hence, the value of T₂₀ is a + 19d.

\rule{190}1

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

{\dashrightarrow{\pmb{\sf{ T_n = a  + (n - 1)d}}}}

{\dashrightarrow{\sf{ T_{15}= a  + (15 - 1) d}}}

{\dashrightarrow{\sf{ T_{15}= a  + (14) d}}}

{\dashrightarrow{\sf{ T_{15}= a  + 14 \times d}}}

{\dashrightarrow{\sf{ T_{15}= a  + 14d}}}

{\star{\underline{\boxed{\sf \pink{ T_{15}= a  + 14d}}}}}

Hence, the value of T₁₅ is a + 14d

\rule{190}1

Now, finding the difference between T₂₀ - T₁₅ :

{\dashrightarrow{\pmb{\sf{T_{20} -  T_{15}}}}}

{\dashrightarrow{\sf{(a + 19d) -  (a + 14d)}}}

{\dashrightarrow{\sf{a + 19d -  a  -  14d}}}

{\dashrightarrow{\sf{a - a + 19d -  14d}}}

{\dashrightarrow{\sf{0+ 19d -  14d}}}

{\dashrightarrow{\sf{19d -  14d}}}

{\dashrightarrow{\sf{5 \times  - 4}}}

{\dashrightarrow{\sf{ - 20}}}

{\star \: \underline{\boxed{\sf{\pink{T_{20} -  T_{15} =  - 20}}}}}

Hence, the value of T₂₀ - T₁₅ is -20.

\underline{\rule{220pt}{3.5pt}}

3 0
3 years ago
A town recently dismissed 9 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of ag
raketka [301]

Answer:   0.1340

Step-by-step explanation:

The binomial distribution formula is given by :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The number of employees over 50 years of age =7

The probability of employees over 50 years of age = \dfrac{7}{7+15}=0.318

Number of dismissed employees : n= 9

Now, the required probability will be :

P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340

Thus, the probability that exactly 1 employee was over 50 = 0.1340

3 0
3 years ago
Score Frequency
RUDIKE [14]

Scores on an AP Exam at a local high school are recorded in the table. What was the average score?

Answer: D) 4.266 is correct

Explanation:

We are given the below frequency table:

Score Frequency

1         |         0

2        |         3

3        |         4

4        |        16

5        |       22

Let's denote the score by x and frequency by f.

The average formula is:

Average=\frac{\sum fx}{\sum f}

                    =\frac{(1\times0) + (2\times3)+(3\times4) +(4\times16) + (5\times22)}{0+3+4+16+22}

                    =\frac{0+6+12+64+110}{45}

                    =\frac{192}{45}=4.267

Therefore, the average score was 4.267

Hence the option D) 4.266

7 0
4 years ago
Gavin has 10 identical US coins in his pocket. The total value of the coins in cents is represented by 10 X. What does the varia
saveliy_v [14]
The X represents the value of the coin.
5 0
4 years ago
Use the vertical method to multiply (4a3 – 2a + 3a2 + 1) and (3 - 2a + a²).
Igoryamba

Answer:

.a^3-2a+3a^2+1\right)and\left(3-2a+a 2\ri

Step-by-step explanation:

pls brainliest

6 0
3 years ago
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