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3 years ago

3+1 + - + ... ? What is the sum of the first 7 terms of this geometric series: 3+1+ 3

Mathematics

1 answer:

mote1985 [20]3 years ago

8 0

Answer:

Step-by-step explanation:

3+1+3+1+3+1+3= 15 this is what it would look like if you write it out. To save time do 3 times 4 to get 12 and then just add three ones to 12 to get 15.

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Solve |3k-2|=2|k+12|

Stella [2.4K]

Answer:

$k = 26$ or $k = -\dfrac{22}{5}$

Step-by-step explanation:

|3k - 2| = 2|k + 12|

$\dfrac{|3k - 2|}{|k + 12|} = 2$

$|\dfrac{3k - 2}{k + 12}| = 2$

$3k - 2 = 2(k + 12)$ or $3k - 2 = -2(k + 12)$

$3k - 2 = 2k + 24$ or $3k - 2 = -2k - 24$

$k = 26$ or $5k = -22$

$k = 26$ or $k = -\dfrac{22}{5}$

7 0

3 years ago

Give the amplitude, vertical and horizontal shift, and period of the function.

Ivanshal [37]

Vertical shift up then down

4 0

3 years ago

Read 2 more answers

PQR is a right angled triangle calculate the size of angle marked x

romanna [79]

Answer:

$\displaystyle x \approx 37.4^\circ$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]: $\displaystyle cosx^\circ = \frac{5.8}{7.3}$
[Fraction] Divide: $\displaystyle cosx^\circ = 0.794521$
[Equality Property] Trig inverse: $\displaystyle x^\circ = cos^{-1}(0.794521)$
Evaluate trig inverse: $\displaystyle x = 37.39^\circ$
Round: $\displaystyle x \approx 37.4^\circ$

8 0

2 years ago

(Area is a rounded rectangle) 4.6 cm long and 5 cm wide How do I find area?

andrezito [222]

Answer:

multiply 4.6 and 5

Step-by-step explanation:

4.6 × 5 = 23

4 0

3 years ago

Find the area of the shaded region.

Citrus2011 [14]

Answer:

pi × 18cm^2

Or approximately,

56.52cm^2 (using 3.14 for pi)

56.5487cm^2 (using pi button on calculator)

Step-by-step explanation:

Area of a circle is pi times [radius squared].

All circles are 360°.

Problem can be solved by finding area of whole circle, and then using ratios.

Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2

80° / 360° = Area[shaded] / (pi × 81cm^2)

pi × 18cm^2 = Area[shaded]

((If you read my answer before the edit, I am sorry. I made a calculator error.))

3 0

3 years ago