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2 months ago

Guest #1362

2 months ago

To solve this problem you must follow the proccedure shown below:

1. You have the following function given in the problem:

f(x)=50000(0.8)^x

2. You can rewrite it as below:

y=50000(0.8)^x

3. Then, you must apply interchange the variables:

x=50000(0.8)^y

4. Now, you have:

x/50000=(0.8)^y

5. When you apply ln you obtain:

ln(x/50000)=ln(0.8)^y

ln(x)-ln(50000)=yln(0.8)

6. Now, clear y:

** y=[ln(x)-ln(50000)]/ln(0.8)**

1. You have the following function given in the problem:

f(x)=50000(0.8)^x

2. You can rewrite it as below:

y=50000(0.8)^x

3. Then, you must apply interchange the variables:

x=50000(0.8)^y

4. Now, you have:

x/50000=(0.8)^y

5. When you apply ln you obtain:

ln(x/50000)=ln(0.8)^y

ln(x)-ln(50000)=yln(0.8)

6. Now, clear y:

Question

"7 less than a number t" written as an algebraic expression is:

Solution 1

**Answer:**** The expression for the given statement is **

**Step-by-step explanation:**

**We are given a statement:**

7 less than a number t

Let the number be considered as 't'

'Less' in the above statement means subtraction operation.

The numerical value written before the 'less' operation is written after in the expression.

**Thus, the expression for the given statement is **

Question

How do you do a probability tree? How do you start it? How do I get all my percentages to add up to 100? Please help guys, this is for a project. I need to know the steps on how to do one or I'll funk the class.

Solution 1

why you just give the question give the question && the answer !!!

Solution 2

**Answer:**

why you just give the question give the question && the answer !!!

Question

The truth table represents statements p, q, and r. p q r q ∧ r A T T T T B T T F F C T F T F D T F F F E F T T T F F T F F G F F T F H F F F F If p is false, which row represents when p ∨ (q ∧ r) is true?

Solution 1

**Solution:**

q ∧ r : q and r

q r q∧r

T T T

T F F

F T F

F F F

p ∨ (q∧r)

p OR (q AND r)

p q∧r p∨(q∧r)

F T∧ T=T T

F F∧T = F F

F T ∧ F=F F

F F ∧ F =F F

**If P is false , The row which represents when p ∨ (q ∧ r) is true is →→F T T T**

**Which is Option E. **

Solution 2

**Answer:**

option e

**Step-by-step explanation:**

Question

An apple pie with a circumference of 28.26 inches is cut into 6 equal-sized pieces. Two pieces of the pie are eaten. What is the area of the pie that is left? Select the correct answer. Use 3.14 for π.

Solution 1

C = πd

d = C / π

d = 28.26 / 3.14

d = 9 in

but r = d/2 = 9/2 = 4.5 in

A = π r^2

= 3.14 x (4.5^2)

= 3.14 x 20.25

= 63.585

divided into 6 equal

so 63.585 / 6 = 10.5975

but ate 2, so there are 4 pieces left

4 x 10.5975 = 42.39

answer

the area of the pie that is left is 42.36 in^2

d = C / π

d = 28.26 / 3.14

d = 9 in

but r = d/2 = 9/2 = 4.5 in

A = π r^2

= 3.14 x (4.5^2)

= 3.14 x 20.25

= 63.585

divided into 6 equal

so 63.585 / 6 = 10.5975

but ate 2, so there are 4 pieces left

4 x 10.5975 = 42.39

answer

the area of the pie that is left is 42.36 in^2

Solution 2

Hey user!!

your answer is here...

we know that circumference of circle = πd

given the circumference of the apple pie = 28.26 in.

therefore πd = 28.26 in.

==> 3.14 × d = 28.26 in.

==> d = 28.26/3.14

==> d = 9 in.

the diameter of the apple pie is 9 in.

therefore radius of the apple pie = 9/2 = 4.5 in.

area of the apple pie = πr²

== 3.14 × 4.5 × 4.5

= 63.585 in²

it's divided into 6 equal parts and two pieces are eaten. so the area of leftover pie = 63.585/6 × 4

= 63.585/3 × 2

= 21.195 × 2

= 42.39 in²

cheers!!

your answer is here...

we know that circumference of circle = πd

given the circumference of the apple pie = 28.26 in.

therefore πd = 28.26 in.

==> 3.14 × d = 28.26 in.

==> d = 28.26/3.14

==> d = 9 in.

the diameter of the apple pie is 9 in.

therefore radius of the apple pie = 9/2 = 4.5 in.

area of the apple pie = πr²

== 3.14 × 4.5 × 4.5

= 63.585 in²

it's divided into 6 equal parts and two pieces are eaten. so the area of leftover pie = 63.585/6 × 4

= 63.585/3 × 2

= 21.195 × 2

= 42.39 in²

cheers!!

Question

Find the volume of the composite solid. Round your answer to the nearest tenth. Item 11
Find the volume of the composite solid. Round your answer to the nearest tenth.

Solution 1

We need a picture of the shape.

Solution 2

**Answer:**

We need a picture of the shape.

**Step-by-step explanation:**

Question

Jonas is conducting an experiment using a 10-sided die. He determines that the theoretical probability of rolling a 3 is mc015-1.jpg. He rolls the die 20 times. Four of those rolls result in a 3. Which adjustment can Jonas make to his experiment so the theoretical and experimental probabilities are likely to be closer?

Solution 1

The link doesn't work, but I imagine he would have figured that there is a 1/10 chance of a 3 being rolled, assuming there are ten different numbers on the die.

Since he rolled the die 20 times, and 4 of those rolls were 3's, the experimental probability of him rolling a 3 are 1/5.

What I think he should do is: try the experiment 3 times, then gather the data of the experiments, and make his prediction.

Since he rolled the die 20 times, and 4 of those rolls were 3's, the experimental probability of him rolling a 3 are 1/5.

What I think he should do is: try the experiment 3 times, then gather the data of the experiments, and make his prediction.

Solution 2

**Answer: the answer is D your welcome**

**Step-by-step explanation: its DDDDDDDDDD**

Question

Choose the system of equations which matches the following graph: x+2y= −10 3x − y = 12 2) x − 2y = −10 3x − y = 12 3) x + 2y = −10 3x + y = 12 4) x − 2y = −10 3x + y = 12

Solution 1

The answer to this equation is the problem **3x - y = 12**

Question

The surface area of a sphere is S(x) = 4πx2, where x is the length of the radius of the sphere. Restrict the domain to create a one-to-one function. Find and describe the inverse function

Solution 1

Given that the surface area of the sphere is S(x)=4πx², the inverse function will be obtain as follows: make x the subject of the function

S(x)/(4π)=x²

get the square root of both sides:

x=√[S(x)/(4π)]

replace x by S⁻¹(x) and S(x) by x

this will give us the inverse as :

S⁻¹(x)=√[x/(4π)]

The above implies that the inverse is the square root of the radius divided by 4π

S(x)/(4π)=x²

get the square root of both sides:

x=√[S(x)/(4π)]

replace x by S⁻¹(x) and S(x) by x

this will give us the inverse as :

S⁻¹(x)=√[x/(4π)]

The above implies that the inverse is the square root of the radius divided by 4π

Solution 2

**Answer:**

The answer is** **** . **

**Step-by-step explanation:**

The input of is the surface area of a sphere; the output is the length of the radius.

Question

Evaluate the expression 2x - (4y - 3) + 5xz, when x = -3, y = 2, and z = -1

Solution 1

2x - (4y - 3) + 5xz, when x = -3, y = 2, and z = -1

plug in

= 2(-3) - [4(2)- 3] + 5(-3)(-1)

= -6 - 5 + 15

= 4

answer

4

plug in

= 2(-3) - [4(2)- 3] + 5(-3)(-1)

= -6 - 5 + 15

= 4

answer

4

Question

When ordering a student desk priced at $69.00, the shipping charges are 6%. What is the total cost of the desk?

Solution 1

Since the desk is $69.00 and the shipping charges are 6%

69*.06= 4.14

Your tax would be $4.14 so,

$4.14+$69.00= A total of $73.14

69*.06= 4.14

Your tax would be $4.14 so,

$4.14+$69.00= A total of $73.14

Solution 2

Shipping charges = 6% x $69 = 0.06 x 69 = $4.14

Total cost = $69 + $4.14 = $73.14

**Answer: $73.14**

Total cost = $69 + $4.14 = $73.14

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