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Alenkinab [10]
3 years ago
12

What is the sum of the series? Write in expanded form making sure to show all steps used to find the sum.

Mathematics
2 answers:
san4es73 [151]3 years ago
6 0

Answer:

-16

Step-by-step explanation:

k = 3

-2(3) + 5 = -1

k = 4

-2(4) + 5 = -3

k = 5

-2(5) + 5 = -5

k = 6

-2(6) + 5 = -7

(-1) + (-3) + (-5) + (-7)

= -16

SOVA2 [1]3 years ago
5 0

Answer: the answer to your question is -16

Step-by-step explanation:

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Find α in degrees. Round to the nearest hundredth
melamori03 [73]

Answer:

<u>α = 29°</u>

Step-by-step explanation:

<u>Given values</u>

  • Opposite side = √15
  • Adjacent side = 7

<u>Missing value</u>

  • α

<u>Solving</u> :

  • tanα = √15/7
  • α = tan⁻¹ (√15/7)
  • α = 28.8107937
  • <u>α = 29°</u> (closest value)
4 0
2 years ago
For f(x) = 4x +1 and g(x) = x2 - 5, find (f - g)(x)
9966 [12]

(f - g)(x) = 4x +1 - ( x^2 - 5)

(f - g)(x) = 4x + 1 - x^2 + 5

(f - g)(x) = -x^2 + 4x + 6

Answer is C.

-x^2 + 4x + 6

7 0
3 years ago
Giving a test to a group of students, the grades and gender are summarized below
sweet [91]

Answer:

Kindly check explanation

Step-by-step explanation:

________A___ B___ C___ Total

Male____ 9___13___ 6____ 28

Female_ 20__ 19___ 2____ 41

Total___ 29__ 32___ 8____ 69

If one student is chosen at random,

Find the probability that the student got a C:

P(getting C) = (number of C's) / total number

P(getting C) = 8 / 69

Find the probability that the student was female AND got a "C":

P(female and C):

(number of female who got C / total number)

= 2 / 69

Find the probability that the student was male OR got an "B":

P(male OR B) :

(Number of males or B) = (28 + 32) - 13 = 47

= 47 / 90

find the probability that the student got a 'C' GIVEN they are female:______.

P(C given they are female) :

This is the proportion of females who got C

Total Number of females = 41

Females who got C = 2

Hence,

P(C given they are female) = 2 / 41

6 0
4 years ago
A rectangle has a perimeter of 25 in. The length is four times the width. What are the dimensions of the rectangle
sladkih [1.3K]

Answer:

L = 10 in

W = 2.5 in

Step-by-step explanation:

Let length be L and width be W

Perimeter = L + L + W + W

Perimeter =2L + 2W

given than length is 4 times the width, or

L = 4W (substitute this back into the perimeter equation above)

Perimeter =2L + 2W

Perimeter =2(4W) + 2W

Perimeter =8W + 2W

Perimeter = 10W

given that the perimeter is 25in

25 = 10W

W = 25 / 10 = 2.5 in  (answer for width)

L = 4W = 4(2.5) = 10 in (answer for length)

5 0
3 years ago
Which graph represents the solution for x2 + x - 12 &gt; 0?
igomit [66]

Answer:it’s c on edge, sorry i’m late but for anyone else who needs help it’s c !!

Step-by-step explanation:

6 0
3 years ago
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