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Alecsey [184]
4 years ago
7

(3 2/3 +1 1/4 )·(1− 47/59 )

Mathematics
1 answer:
Naddik [55]4 years ago
5 0

Answer:

I got 1 sorry if it's wrong

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Which of the following represents an explicit formula for the sequence:<br> 8.2, 10, 11.8, 13.6
NNADVOKAT [17]

Answer:

Tn = 6.4 + 1.8n

Step-by-step explanation:

Given

Sequence: 8.2, 10, 11.8, 13.6

Required

The formula of the sequence.

First, the type of the sequence needs to be determined (arithmetic or geometric)

It is an arithmetic sequence because each successive sequence is separated by a common difference..

The common difference is represented by d and it's calculated as follows.

d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8

Each of the above gives

d = 1.8

Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.

Tn = T1 + (n - 1)d

Where T1 is the first term of the progression; T1 = 8.2

By substituting 8.2 for T1 and 1.8 for d.

This gives

Tn = 8.2 + (n - 1) * 1.8

Open bracket

Tn = 8.2 + 1.8 * n - 1 * 1.8

Tn = 8.2 + 1.8n - 1.8

Collect like terms

Tn = 8.2 - 1.8 + 1.8n

Tn = 6.4 + 1.8n

Hence, the formula of the sequence is Tn = 6.4 + 1.8n

3 0
3 years ago
Which statement is true regarding the graphed functions f2 and g4
andreev551 [17]
I don’t know i just need to answer questions
5 0
3 years ago
Given: AB is congruent to CD and BC is congruent to AD Prove: AB ll CD and BC ll AD
kifflom [539]
<h2>Given</h2>

  • A quadrilateral ABCD with opposite pairs of sides being congruent.

<h2>To prove</h2>

  • Opposite sides are parallel.

<h2>Solution</h2>

We'll prove first the triangles formed by diagonal are congruent then we'll prove the angles on either side of diagonal are congruent.

<u>The steps are:</u>

  • Step  ⇒   Statement  ⇒   Reason

=============================================================

  • 1   ⇒  AB ≅ CD and BC ≅ AD     ⇒     Given
  • 2  ⇒  AC = CA                              ⇒    Common side
  • 3  ⇒  ΔABC ≅ ΔCDA                   ⇒    Side-side-side congruence
  • 4  ⇒  ∠BAC ≅ ∠DCA                   ⇒    Corresponding angles of congruent triangles
  • 5  ⇒  ∠BAC and ∠DCA are alternate interior angles  ⇒  Definition of alternate interior angles
  • 6  ⇒  AB║CD                               ⇒   The converse of alternate interior angles theorem
  • 7  ⇒  ∠BCA ≅ ∠DAC                   ⇒   Corresponding angles of congruent triangles
  • 8  ⇒  ∠BCA & ∠DAC are alternate interior angles  ⇒  Definition of alternate interior angles
  • 9  ⇒ BC║AD                                ⇒   The converse of alternate interior angles theorem
4 0
2 years ago
The quotient of x and 7 is equal to 13. Define variable and then write an expression to model the situation
wolverine [178]
X = the dividend

x ÷ 7 = 13
x = 13x7
x = 91
6 0
4 years ago
A map is drawn using a scale of 2 cm : 75 miles. Two cities are 325 miles
NeX [460]

Answer:

The answer is 8.67

Step-by-step explanation:

Divide the distance by 75 since it's the actual distance of the scale factor

325/75=4.33

Multiply the answer by the scale factor

4.33×2=8.67

4 0
3 years ago
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