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VladimirAG [237]

2 years ago

15

A magician's stage has a rectangular trapdoor whose width is (x+1/2) feet and whose length is 2x feet. The area of the trapdoor

is 10 square feet. What is the value of x ?

2 answers:

Reptile [31]2 years ago

4 0

Answer: x = 2 , − 2.5

Sonbull [250]2 years ago

3 0

-2.5I believe hope that helps you with your question

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Elena L [17]

Answer: a = 4, b = 163,422

<u>Step-by-step explanation:</u>

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 <em>(converted 21% into a decimal)</em>

t = 36 yrs <em>(2006 - 1970) </em>

$P = P_{0} e^{kt}$ <em>need to solve for P₀</em>

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 <em>(converted 21% into a decimal)</em>

t = 15 yrs <em>(2021 - 2006) </em>

$P = P_{0} e^{kt}$ <em>need to solve for P₀</em>

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

<u>Step-by-step explanation:</u>

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

<u>Step-by-step explanation:</u>

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 <em>log rules say division is subtraction</em>

0 = ln 1

5 0

2 years ago

In problems 1-3, a and b are legs and c is the hypotenuse. Find the missing side length of the

Readme [11.4K]

Answer:

1. b=39.497

2. c=3.606

3. a=18.974

Step-by-step explanation:

1.

41^2-11^2=b^2

1681-121=b^2

b^=1560

b=39.497

2.

2^2+3^2=c^2

4+9=c^2

c^2=13

c=3.606

3.

21^2-9^9=a^2

441-81=a^2

a^2=360

a=18.974

4 0

2 years ago

Use the key features of the polynomial f(x) = 6x4 + 4x3 − 5x2 − 2x + 1 to describe its end behavior.

Maksim231197 [3]

Answer:

It is answer D

Because the left side continues to negative infinity and the right side continues to positive infinity.

6 0

3 years ago

Combine the like terms to create an equivalent expression.<br> 9y+y

dalvyx [7]

Answer: 10y

Step-by-step explanation: All variables equal one unless assigned a specific answer. So It is basically 9y+1

9y+1=10y

Final Answer: 10y

Hope this helps! :D

8 0

3 years ago

Read 2 more answers

A customer borrowed 2000 and then further 1000 both repayable in 12 months .What would he have saved if he had taken out one loa

creativ13 [48]

Answer:

No savings

Step-by-step explanation:

Let the interest rate be same for all the loans and consider it to be R.

<u>First case</u>

Principal 1 = 2000

Time = 12 moths = $\frac{12}{12}$ = 1 year

Rate = R %

So, interest 1 = Principal * Time * Rate

= 2000 * 1 * R

= 2000R

Now,

Principal 2 = 1000

Time = 12 moths = $\frac{12}{12}$ = 1 year

Rate = R %

So, interest 2 = Principal * Time * Rate

= 1000 * 1 * R

= 1000R

Total interest to be paid = 2000R + 1000R

= 3000R

<u>Second case</u>

Principal = 3000

Time = 12 moths = $\frac{12}{12}$ = 1 year

Rate = R %

Interest = Principal * Time * Rate

= 3000 * 1 * R

= 3000R

We conclude that there would be no savings because the interest to be paid in both the cases are same.

5 0

3 years ago

Read 2 more answers