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2 years ago

Tell me how you got the answer

Mathematics

1 answer:

Anvisha [2.4K]2 years ago

8 0

Answer:

x = 18; y = 20

Step-by-step explanation:

Triangles KLM and KNO are similar, so the ratios of the lengths of corresponding sides are equal.

KL/KN = LM/NO

10/30 = 6/x

Cross multiply.

10x = 6 * 30

10x = 180

x = 18

KL + LN = KN

10 + y = 30

y = 20

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the graph shows the first five terms in a geometric sequence what is the iterative rule for the sequence

algol [13]

The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

<u>Given:</u>

a₁ = 8

a₂ = 4

a₃ = 2

a₄ = 1

<u>Solution:</u>

<em>Firstly , we find the ratio by following formula:</em>

$r = a_2 \div a_1 = 4 \div 8 = 0.5$

$\texttt{ }$

<em>The iterative rule for the sequence:</em>

$a_n = a_1 \cdot~ r^{n-1}$

$a_n = 8 \cdot~ (0.5)^{n-1}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

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2 years ago

Find the area of each figure. Use 3.14 for phone

SVEN [57.7K]

Area of triangle: 3m

Area of rectangle: 24m

Area of semi-circle: 6.28m

6 0

2 years ago

Read 2 more answers

A sample of 20 account balances of a credit company showed an average balance of $1,170 and a standard deviation of $125. You wa

Lady_Fox [76]

Answer:

The P-value for this test is P=0.2415.

Step-by-step explanation:

We have to perform an hypothesis testing on the mean of alla account balances.

The claim is that the mean of all account balances is significantly greater than $1,150.

Then, the null and alternative hypothesis are:

$H_0: \mu=1150\\\\H_a: \mu>1150$

The sample size is n=20, with a sample mean is 110 and standard deviation is 125.

We can calculate the t-statistic as:

$t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{1170-1150}{125/\sqrt{20}}=\dfrac{20}{27.95}=0.7156$

The degrees of freedom fot this test are:

$df=n-1=20-1=19$

For this one-tailed test and 19 degrees of freedom, the P-value is:

$P-value=P(t>0.7156)=0.2415$

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3 years ago

If T (n) =6-1 what is the 1st term.

Mariulka [41]

T(n)=6-1=5
that means all terms are 5 because n does not appear on the right hand side.

However, if T(n)=6n-1, then
first term = T(1)=6(1)-1=5,
but second term T(2)=6(2)-1=11...

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2 years ago

A. Rotation of 180º and then a reflection across the x-axis.

Trava [24]

Hope this helps!

Please vote brainliest

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2 years ago