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avanturin [10]
3 years ago
10

A student has taken three math tests so far this semester. His scores for the first three tests were 71, 75, and 79. Part A: Sup

pose his test scores continue to improve at the same rate. What will be the grade on the sixth and (final) test?
Mathematics
1 answer:
valina [46]3 years ago
5 0

Answer:

The grade of this sixth and (final) test <u>would be 91</u>.

Step-by-step explanation:

This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:

a₁ = 71

r = 4

a₆ = the sixth term that needs to be found out

n = 6

Formula of an arithemetic series:

aₙ = a₁ + r(n - 1)

a₆ = 71 + 4(6 - 1)

a₆ = 71 + 4(5)

a₆ = 71 + 20

a₆ = 91

Hence, the grade of this sixth and (final) test would be 91.

Hope this helps!

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X^2 + x - 56 = 0<br> Solve for x
NISA [10]

Answer: x = 7 or x = -8

x² + x - 56 = 0

⇔ x² + 8x - 7x - 56 = 0

⇔ x(x + 8) - 7(x + 8) = 0

⇔ (x - 7)(x + 8) = 0

⇔ x - 7 = 0

or x + 8 = 0

⇔ x = 7 or x = -8

Step-by-step explanation:

4 0
3 years ago
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You are measuring the height of a statue. You stand 17 feet from the base of the statue. You measure the angle of elevation from
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Answer:

height ≈ 31 ft

Step-by-step explanation:

The illustration below will form a right angle triangle. He is standing 17 ft away from the base of the statue.  The angle of elevation from the ground to the top of the statue  is 61°. The height of the statue can be computed below.

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opposite side = a

Using SOHCAHTOA principle

tan 61° = opposite/adjacent

tan 61° = a/17

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a = 17 tan 61°

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6 0
4 years ago
Select all true statements about the line and its equation.
gulaghasi [49]

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the first, second and fifth ones

Step-by-step explanation:

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3 years ago
What is the answer to this equation<br> g + 5 = 16<br> g=?
stiv31 [10]

Answer:

G=11

Step-by-step explanation:

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7 0
3 years ago
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2) 45+ 17 = 62<br><br> 3) X + 5/6 = 7/16<br><br> 4) Y + 1/7 = 5/8
Montano1993 [528]

9514 1404 393

Answer:

  2) true

  3) X = -19/48

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Step-by-step explanation:

3) Subtract 5/6 from both sides

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  X = -19/48

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  Y = 27/56

6 0
3 years ago
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