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3 years ago

Find s(2t - 4) for s(t) = 3t - 7 A)6t - 19 B) 6t - 18 C) 5t - 11 D) 5t - 19

Mathematics

1 answer:

asambeis [7]3 years ago

3 0

Hello,

Answer A

s(x)=3x-7
s(2t-4)=3*(2t-4)-7=6t-12-7=6t-19

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Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and

Semenov [28]

Answer:

y= 43

x= 37

Step-by-step explanation:

Legs: (43 x 4) + (37 x 2) = 248

Heads: 43 + 37 = 80

4 0

2 years ago

A circular pond is to be surrounded by a gravel path. if we know the pond has a radius of 200 ft and the radius of the whole spa

Kipish [7]

To find the area to be surrounded by a gravel path, we need to calculate two areas. First, the area of the whole space and, second, the area of the pond. We subtract these values to obtain the actual area for the gravel path.

A(whole space) = pi x (250)^2 = 62500π ft^2
A(pond) = pi x 200^2 = 40000π ft^2

Actual Area = 62500π ft^2 - 40000π ft^2 = 70686 ft^2 ----> OPTION A

5 0

3 years ago

Solve 2x2 + 4x = 30 using the Quadratic Formula.

Maslowich

Answer:

$x=-5, 3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define equation

2x² + 4x = 30

Step 2: Rewrite into Standard Form

2x² + 4x - 30 = 0

Step 3: Define variables

a = 2

b = 4

c = -30

Step 4: Solve for x

Substitute: $x=\frac{-4\pm\sqrt{4^2-4(2)(-30)} }{2(2)}$
Evaluate: $x=\frac{-4\pm\sqrt{16-4(2)(-30)} }{2(2)}$
Multiply: $x=\frac{-4\pm\sqrt{16+240} }4}$
Add: $x=\frac{-4\pm\sqrt{256} }4}$
Evaluate: $x=\frac{-4\pm16 }4}$
Factor: $x=\frac{4(-1\pm4)}4}$
Divide: $x=(-1\pm4)$
Add/Subtract: $x=-5, 3$

And we have our final answer!

6 0

2 years ago

True or false? The law of cosines reduces to the pythagorean theorem for right triangles.

barxatty [35]

Law of cosine is :
c^2 = a^2 + b^2 − 2ab cos(theeta)
so in case of right triangle , angle is 90 degree:
putting 90 degrees into formula:
c^2 = a^2 + b^2 − 2ab cos(90)
As we know that:
cos90 = 0
c^2 = a^2 + b^2 − 2ab (0)
c^2 = a^2 + b^2 - 0
c^2 = a^2 + b^2 ( this is pythagorean theorem ).
So the above statement is True.

8 0

3 years ago

Read 2 more answers

5/8 + 3/4 ————— -2/3 - 5/6 Help please

lions [1.4K]

Answer:

-11/12

Step-by-step explanation:

5 0

3 years ago