Radical form of f(x)=3+2 in X

Amaia purchased two blouses for $12.50 each and a skirt for $11.25. The sales tax rate is 8.5%. How much total sales tax will Am

jasenka [17]

$2.02

11.25 + 12.50= 23.75

plus 8.5%

8 0

3 years ago

I really need help with this question! Please help me!!!

Dafna11 [192]

Answer:

42°

Step-by-step explanation:

AD bisects ∠CAB, which means it splits ∠CAB into two equal parts. ∠CAB equals 84°. 84° ÷ 2 = 42°.

7 0

3 years ago

A sport analyst wants to determine the mean salary of a Baseball player for 2015. He believes an estimate of this average salary

djyliett [7]

Answer:

The large sample size 'n' = 199.6569≅ 200

Step-by-step explanation:

Step(i):-

Given Standard deviation of salary for all baseball players for 2015 is about $5,478,384.55

Standard deviation of of salary for all baseball players for 2015

(S.D ) σ = $5,478,384.55

Given estimate of this average salary for all baseball players for 2015

= $497,000

Given Margin of error of error is = $497,000

Level of significance ∝ = 80%

The critical value Z₀.₂₀ = 1.282

Step(ii):-

Margin of error of error is determined by

$M.E = \frac{Z_{0.20} S.D}{\sqrt{n} }$

$497,000 = \frac{1.282 X 5,478,384.55}{\sqrt{n} }$

Cross multiplication , we get

$\sqrt{n} = \frac{1.282 X 5,478,384.55}{497,000 }$

On calculation , we get

√n = 14.13

Squaring on both sides, we get

n = 199.6569

Conclusion:-

The large sample size 'n' = 199.6569≅ 200

7 0

3 years ago

A fence must be built to enclose a rectangular area of 20,000 ft^2. Fencing material costs $4 per foot for the two sides facing

Marysya12 [62]

The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

A fence must be built to enclose a rectangular area of 20,000 ft²
Fencing material costs $4 per foot for the two sides facing north and south and $8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides is y feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle = y feet

∵ The rectangular area is 20,000 ft²

- Area of a rectangle = length × width

∴ x × y = 20,000

- Divide both sides by x to find y in terms of x

∴ $y=\frac{20,000}{x}$

The fence's length is equal to the perimeter of the rectangular area

∵ Perimeter of the rectangle = 2 length + 2 width

∴ Perimeter of the rectangle = 2x + 2y

∵ Fencing material costs $4 per foot for the two sides facing

North and South

∴ x costs $4 per foot

∵ The cost of the other two sides is $8 per foot

∴ y costs $8 per feet

The cost of the fence is the sum of the products of 4 , 2x and 8 , 2y

∵ The cost of the fence (C) = 4(2x) + 8(2y)

∴ C = 8x + 16y

- Substitute y by its value above

∴ $C=8x+16(\frac{20,000}{x})$

∴ $C=8x+\frac{320,000}{x}$

To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ $\frac{320,000}{x}$ can be written as $320,000x^{-1}$

∴ $C=8x+320,000x^{-1}$

∵ $\frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}$

∴ $\frac{dC}{dx}=8-320,000x^{-2}$

- Equate $\frac{dC}{dx}$ by zero

∴ $8-320,000x^{-2}=0$

∵ $-320,000x^{-2}=-\frac{320,000}{x^{2}}$

∴ $8-\frac{320,000}{x^{2}}=0$

- Subtract 8 from both sides

∴ $-\frac{320,000}{x^{2}}=-8$

- Multiply both sides by x²

∴ - 320,000 = - 8x²

- Divide both sides by -8

∴ 40,000 = x²

- Take √ for both sides

∴ 200 = x

Substitute x in the equation of C to find the least cost of fence

∵ $C=8(200)+\frac{320,000}{(200)}$

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

5 0

3 years ago

What is the domain of the function represented by the graph?

dezoksy [38]

Answer: Choice C. $x \ge -3$

============================================

Explanation:

The domain is the set of all allowed x inputs.

Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.

We can say the domain is $-3 \le x < \infty$ which can be simplified to $-3 \le x$ or $x \ge -3$

In short: x can be -3 or larger.

8 0

3 years ago