The sum of the first n terms of a sequence is given by Sn = 3m+1 - 6
3.1.
Determine the sum of the first 12 terms.

Answer:

[tex]x\geq -6[/tex]

Step-by-step explanation:

The domain of a function is all of the values that [tex]x[/tex] can be under that specific function. In this case, we're asking what values of [tex]x[/tex] allow [tex]\sqrt{\frac{1}{3} x+2}[/tex] to exist.

In order for square roots to exist, the quantity under the square root must be greater than or equal to [tex]0[/tex], because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for [tex]x[/tex]:

[tex]\frac{1}{3}x+2\geq 0[/tex]

Solving this inequality, we get:

[tex]\frac{1}{3}x+2\geq 0[/tex]

[tex]\frac{1}{3}x\geq -2[/tex] (Subtract [tex]2[/tex] from both sides of the inequality to isolate [tex]x[/tex])

[tex]x\geq -6[/tex] (Multiply both sides of the inequality by [tex]3[/tex] to get rid of [tex]x[/tex]'s coefficient)

Hope this helps!

Answer:

[tex]g^{6}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

g³ × g³ = [tex]g^{(3+3)}[/tex] = [tex]g^{6}[/tex]

Answer:

-40°

Step-by-step explanation:

-13° + -7° = -20°

-20° + -3° = -23°

-23° + 5° = -28°

-28° + -12° = -40°

Answer:

- 13 - 7 + 5 -12

-30/5= -6

Step-by-step explanation:

sum of all observation/total observation

(-13-7+5-12)/5

-30/5

-6

Answer:

Step-by-step explanation:

4(23ft)($1.12/ft)=$103.04

Answer:

4/45

Step-by-step explanation:

The sum of angles in a triangle is 360 degrees

If the angle measures 32 degrees, the fraction can be represent as 32/360

32/360 has to be converted to its simplest form. To this divide both the numerator and the denominator by 8. This gives 4/45

Answer:

[tex] {x}^{2} + {y}^{2} + 12x - 8y + 4 = 0[/tex]

Answer:

1:x+6  2:y-4   3:36

Step-by-step explanation:

just did it :)

Answer:

FD ≈ 252.8 feet

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(20°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(20°) = [tex]\frac{EF}{FD}[/tex]

0.36397 = [tex]\frac{92}{FD}[/tex]

FD = [tex]\frac{92}{0.36397}[/tex]

FD = 252.77

FD ≈ 252.8 feet

Answer:

4 m = width of the rectangle.

6 m = length of the rectangle

20 m = perimeter of rectangle

3 m = side of the square

Step-by-step explanation:

Let s = length of side of square

s + 1 = width of rectangle

s + 3 = length of rectangle

Area of rectangle = (s + 1)(s + 3)

Area of square = [tex]s^{2}[/tex]

So,  (s + 1)(s + 3) + [tex]s^{2}[/tex] = 33

[tex]s^{2}[/tex] + 4s + 3 + [tex]s^{2}[/tex] = 33

2[tex]s^{2}[/tex] + 4s - 30 = 0

2([tex]s^{2}[/tex] + 2s - 15) = 0

2(s + 5)(s - 3) = 0

s = -5   or   s = 3

Length of a side cannot be negative, so -5 is ignored

3 m = side of the square

4 m = width of the rectangle

6 m = length of the rectangle

2(4) + 2(6) = 8 + 12 = 20 m = perimeter of rectangle

"The number of boys is 45 the number of girls,"

or to say,

"The ratio of the number of boys to the number of girls is 45:1."

This second interpretation reflects the fact that 45 is the unit rate (which is a number) for the ratio 4:5.

9514 1404 393

Answer:

  q = 9

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally.

  q/36 = (16 -q)/28

  7q = 9(16 -q) . . . . . . multiply both sides by 252 (the LCM of 28 and 36)

  16q = 16(9) . . . . . . . . add 9q to both sides

  q = 9 . . . . . . . . . . . . . divide by 16

_____

Additional comment

We are given the sum of the segment lengths on the far left side. The proportion is the same for the sum of sides as it is for individual sides.

  (q/36) = 16/(36+28)

  q/36 = 16/64 = 1/4

  q = 36/4 = 9

Answer: y = 3x+9

Step-by-step explanation:

points are -2,3 and -1,6

6-3/-1-(-2) = 3

y-int is 9 since its given

Answer:

This illustrates a right triangle.

Given:

a(height) = 2457 ft.

∠A = 22°23' ; which is the elevation and reflects the a(height)

Find:

b(base)

Solution:

Using the law of cosine, specifically tan∠ = opposite side÷adjacent side

By analysis, tan∠A = a÷b

Since we are finding b, the formula will be derived into:

b = a÷tan∠A

Find b(base):

b = 2457 ft. ÷ tan22°23' ; substituting the numbers

b ≈ 5,966.05 ft. ; Final Answer

Step-by-step explanation:

I guess 7 years or 28 months (I think 28 months )

Answer:

(-2,-3)

Step-by-step explanation:

A=(8,-5)

M=(3,-4)

The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.

B=(-2,-3)

Answer:

4

Step-by-step explanation:

The slope of the line is given. It is 4. Use the equation y=mx+b to answer the other questions.

Substitute 1 in for y, 4 in for m, and 2 in for x and solve for b. The equation would look like 1=4(2)+b.

Solving that equation will give you b=-7

That means the y-intercept is -7.

The equation would then be y=4x-7

Answer:

6:45

Step-by-step explanation:

5 minutes + 20 minutes +5 minutes= 30 minutes

Answer:

6:45 A.M.

Step-by-step explanation:

6:45 A.M. is exactly 30 minutes after 6:15 A.M., which is how long it takes her to walk to the bus stop, ride the bus, and walk to work.

Stay safe! <3

Answer:

-2.8

Step-by-step explanation:

Given that:

Mean, μ = 78

Standard deviation, σ = 5

Omar's score, x = 64

The Zscore of Omar's score :

Zscore = (x - μ) ÷ σ

Zscore = (64 - 78) / 5

Zscore = - 14 / 5

Zscore = - 2.8

Hence, Omar's exam score is - 2.8

Answer:

-2.8 is correct

Step-by-step explanation:

Answer:

i think it might be C

Step-by-step explanation:

very sorry if it's wrong

Answer:

99.33ft^2

Step-by-step explanation:

The surface area of a square pyramid is expressed as;

TSA = a²+2a√a²/4 + h²

Given that

a = 5ft

h = 7ft

Substitute

TSA = 5²+2(5)√5²/4 + 7²

TSA = 25+10√25/4 + 49

TSA = 25 + 10√(221/4)

TSA = 25 + 10(√55.25)

TSA = 25 + 10(7.433)

TSA = 25 +  74.33

TSA = 99.33ft^2

Hence the surface area of a square pyramid with side length 5 ft and slant height 7 ft is 99.33ft^2

Answer:5x5=25 fts

4(1/2 x 5ft x7 ft) = 70 fts

Add them up and you get

Answer= 95fts

Step-by-step explanation:

Answer:

b=18, a=9√3

Step-by-step explanation:

30-60-90 rule

Answer:

4 in

Step-by-step explanation:

For the smaller figure, we can assume the other missing side is 2 because the area is 4, and area = length*width.

So the area of the larger figure is 4^2, or 16, so then we can assume the x or the two missing sides for the larger figure are 4 beacuse 4*4=16

Answer: 12:15 pm

Step-by-step explanation:

They had a balloon fight for 1 hour

They played in the hose for 30 minutes

The water fight ended at 1:45 pm minus 1 hour 30 minutes if play = 12:15 pm start time

Answer:

5) x = 0.75

6) x = 12

Step-by-step explanation:

5)

Use geometric mean of altitude

[tex]12 = \sqrt{x^2 * 16^2} \\12^2 = x^2 * 16^2\\144 = 256x^2\\x = 0.75[/tex]

6)

Use geometric mean of legs

[tex]60^2 = \sqrt{(36+x)^2+36^2} \\3600 = (36+x)^2 + 36^2\\x=12[/tex]

Answer:

n=42, m=42[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · [tex]\sqrt{3}[/tex], which is the same as 42√3.

Answer:

no image sry cant haelp

Step-by-step explanation:

Answer:

When you are calculating the amount of mechanical energy used to exert force and move something, you are talking about work being done by a force at a distance. You can describe this in terms of foot-pounds. For example, you want to calculate the energy used to tighten a nut when using a wrench, or to lift a weight from the floor. Mechanical force takes place in time, so to describe the power requirement, you use foot-pounds per second.

Step-by-step explanation:

Answer:

x+12y=40

Step-by-step explanation:

the question itself says by adding

Answer:

this is not a function

Step-by-step explanation:

the bottom numbers need to connect

Answer:

ppl are stubborn they put random stuff ty for wasting my points im getting them back

Step-by-step explanation: