A parking garage has 5 levels below ground. Each level is the same height. Consider ground level to be 0. The depth of the the fifth level of the parking garage is −118.5 ft. What is the depth of the first level of the parking garage?

The probability of winning at least one award is 1 - 0.2373 = 0.7627 or 76.27%.

If the probability of winning an MTV music award after being nominated is 25%, the probability of not winning is 75%. Thus, the probability of not winning any of the five awards is (0.75)^5 = 0.2373.

As for how many awards Ariana Grande should expect to win, we can use the expected value formula: E(x) = n * p, where n is the number of trials (in this case, 5) and p is the probability of success (0.25). Therefore, E(x) = 5 * 0.25 = 1.25. So, Ariana Grande can expect to win about 1 award.

Finally, to calculate the standard deviation associated with this probability, we can use the formula: σ = sqrt(n * p * (1-p)). Plugging in the values, we get σ = sqrt(5 * 0.25 * 0.75) = 0.866. Therefore, the standard deviation associated with this probability is approximately 0.866.

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Answer:

Step-by-step explanation:

it is 75 and a half

Rocio needs 5 cups of butter for her holiday baking.

First, we need to convert all of the measurements to cups. 11/4 cups is equal to 2 1/2 cups, so Rocio needs 2 cups + 1 cup + 2 1/2 cups = 5 cups of butter.

If you want to write the answer as a mixed number, it would be 5 1/2 cups.

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Answer:

The  answer would be -16

Step-by-step explanation:

Add

5

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

oooo[[oooo seven. my boy o girl

Answer:

-3

Step-by-step explanation:

porque si debes 5 y pagas 2 quedas debiendo 3 sé que no es la mejor explicación pero bueno...

Answer:

-9

Step-by-step explanation:

Substitute 3 for z and 9 for w in the equation.

\( - 2z - 3w + 7 + 8\)

\( - 2(3) - 3(9) + 15\)

\( - 6 - 18 + 15\)

\( - 24 + 15\)

\( - 9\)

Step-by-step explanation:

Question 1. The Independent variable is price per weight unit.and Dependent variable is the total cost of order.

Question 2. The Independent variable is cost of a ticket, and Dependent variable is number of friends.

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

yes

Step-by-step explanation:

....

The actual distance or length between City C and City D is 350 miles.

We can set up a proportion to solve the problem:

Length on map / Actual distance = Scale factor

Let x be the actual distance between City C and City D.

Form a proportional equation

2.2 feet / 250 miles = 3.08 feet / x

To solve for x, we can cross-multiply and simplify:

2.2 × x = 250 × 3.08

x = (250 × 3.08) / 2.2

x = 350

Therefore, the actual distance between City C and City D is 350 miles.

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Answer: 3 1/4 + 7

Step-by-step explanation:

1/2 = 2/4 + 3/4 = 5/4/ 1 1/4 + 2 = 3 1/4 + 7

Answer:

The answer is the Second Option

Step-by-step explanation:

Answer:

the second one sqrt(10) + sqrt(15) -sqrt(14) - sqrt(21)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Make 15% a fraction (3/20)

there u go

The given series converges, and the value of the integral is finite.

The Integral Test is a method used to determine the convergence or divergence of an infinite series by comparing it to the convergence or divergence of an improper integral. If the integral associated with the series is finite, then the series converges. If the integral is infinite or undefined, then the series diverges.

In this case, we have the series ∑(1+n)/(4n) from n = 1 to infinity. To apply the Integral Test, we consider the integral of the function 1+x/4x with respect to x from 1 to infinity.

Evaluating the integral ∫(1+x)/(4x) dx from 1 to infinity, we find that the integral is finite, indicating that the series converges.

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Answer:

11:23

Step-by-step explanation:

Can I have the crown thingy please!!!

Answer: 11:37

Step-by-step explanation:

2:25 - 2:00 =12:25

12:25-00:48= 11:37

Answer:

16 and 2

Step-by-step explanation:

16+2=18

16-2=14

The function A(t) that describes the value of an account with an initial amount of $5,000 growing at a rate of 3% compounded annually after t years is given by A(t) = 5000\((1 + 0.03)^t\).

The function A(t) represents the amount of money in the account after t years. In this case, the initial amount is $5,000, and the interest rate is 3%, which is expressed as 0.03. The term \((1 + 0.03)^t\) represents the growth factor, where 1 + 0.03 is the factor by which the amount increases each year, and t is the number of years.

To calculate the value of the account after a certain number of years, we substitute the value of t into the function A(t). For example, to find the value after 5 years, we substitute t = 5:

A(5) = 5000(1 + 0.03)⁵.

By evaluating the expression, we can determine the value of the account after 5 years.

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The result of the function f(x)=x+6 when x= -2,0 and 5 is

f(-2)= 4

f(0)= 6

f(5) = 11

The function  is f(x) = x+6

The function is an expression that shows the relationship between one variable and another variable.  One variable will be independent variable and another variable will be dependent variable.

The given function f(x) = x+6 when x =-2, 0 and 5. Here we have to substitute the values of x in the given function

f(x)  = x+6

f(-2) = -2+6

= 4

f(0) = 0+6

= 6

f(5) = 5+6

= 11

Hence, the result of the function f(x)=x+6 when x= -2,0 and 5 is

f(-2)= 4

f(0)= 6

f(5) = 11

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Louise has 132 points after hitting the blue target first, then the red target.

Adam also has 132 points after hitting the red target first, then the blue target.

Louise hits the blue target first, then the red target:

Starting score: 100 points

Hitting the blue target increases the score by 10%

100 + (10/100) × 100

= 100 + 10

= 110 points

Hitting the red target increases the score by 20%:

110 + (20/100) × 110 = 110 + 22 = 132 points

b) Adam hits the red target first, then the blue target:

Starting score: 100 points

Hitting the red target increases the score by 20%: 100 + (20/100) × 100 = 100 + 20 = 120 points

Hitting the blue target increases the score by 10%: 120 + (10/100) × 120 = 120 + 12 = 132 points

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Answer:132 each

Step-by-step explanation:

The general solution of the given system is x(t) = c₁e^(7t) + c₂te^(9t) + c₃e^t, where c₁, c₂, and c₃ are arbitrary constants.

To find the general solution of the given system, we need to solve the differential equation x' = A*x, where A is the given matrix [0 0 0; 7 0 0; 9 1 0]. The characteristic equation is det(A - λI) = 0, where I is the identity matrix. Solving this equation, we find that the eigenvalues are λ₁ = 0, λ₂ = 7, and λ₃ = 9.

For each eigenvalue, we find the corresponding eigenvector and construct the solution using the form x(t) = c₁e^(λ₁t)v₁ + c₂te^(λ₂t)v₂ + c₃e^(λ₃t)v₃, where v₁, v₂, and v₃ are the eigenvectors associated with the eigenvalues.

The constants c₁, c₂, and c₃ can be determined based on initial conditions or additional constraints.

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The perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

What is meant by the perimeter of a figure?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Given,

the scale factor = 4/5

The perimeter of the smaller rectangle = 45 cm

We are asked to find the perimeter of the larger rectangle(x).

Here both the rectangle are similar figures.

So the scale factor is the ratio of their corresponding sides.

But since the perimeter of a rectangle is the sum of the length of its sides.

The scale factor is also the ratio of the perimeter of the smaller rectangle to the larger rectangle.

Perimeter of small rectangle/Perimeter of large rectangle = 4/5

45/x = 4/5

x = 45 * 5 / 4 = 56.25cm

Therefore the perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

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the option c) has the greatest density of approximately 4.545 g/cm³.

To determine the liquid with the greatest density, we can calculate the density for each option using the formula:

Density = Mass / Volume

a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³

b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³

c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³

d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³

e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³

Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.

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Complete question is below

Which of the following liquids has the greatest density?

a) 1.3 cm³ with a mass of 2.3 g

b) 3.5 cm³ with a mass of 10 g

c) 0.022 cm³ with a mass of 0.10 g

d) 5.4 cm³ with a mass of 0.64 g

e) 0.21 cm³ with a mass of 0.12 g

De Morgan's laws state that ~(p∧q) is equivalent to ~p∨~q and ~(p∨q) is equivalent to ~p∧~q. Using this, we can rewrite the second statement ~(p∧q)→r as ~p∨~q→r.

Now, we can compare the two statements:

(~p∨~q)→r  and  ~p∨~q→r

To determine if they are equivalent, we need to see if they have the same truth value for every possible combination of truth values for p, q, and r.

Let's create a truth table to help us:

| p | q | r | ~p | ~q | ~p∨~q | (~p∨~q)→r | ~p∨~q | (~p∨~q)→r |
|---|---|---|----|----|--------|-------------|--------|-------------|
| T | T | T | F  | F  |   T    |      T      |   T    |      T      |
| T | T | F | F  | F  |   T    |      F      |   T    |      F      |
| T | F | T | F  | T  |   T    |      T      |   T    |      T      |
| T | F | F | F  | T  |   T    |      F      |   T    |      F      |
| F | T | T | T  | F  |   T    |      T      |   T    |      T      |
| F | T | F | T  | F  |   T    |      F      |   T    |      F      |
| F | F | T | T  | T  |   T    |      T      |   T    |      T      |
| F | F | F | T  | T  |   T    |      T      |   T    |      T      |

As we can see, both statements have the same truth value for every possible combination of truth values for p, q, and r. Therefore, the two statements are equivalent.

We used De Morgan's laws to rewrite ~(p∧q)→r as ~p∨~q→r, then we compared the two statements using a truth table to see if they have the same truth value for every possible combination of truth values for p, q, and r.

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Step-by-step explanation:

If they are RIGHT triangles   then the Pythagorean theorem would apply

c^2 = a^2 +  b^2      where   c is the long side ( hypotenuse)

4)  does  10^2   =  6^2 + 8^2 ?

               100 = 36 + 64          Yes....it is a right triangle

5) does 8^2 = ( sqrt26)^2 + sqrt(28^2) ?

              64 =  26 + 28           NO....it is NOT a right triangle

6)  you should try this one yourself .....

The value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

The net asset value is the difference of total asset value of the company to the total liabilities value of that company.

Nezzie invests in 300 shares of stock in the fund shown below. Name of fund nav offer price lkit mid-cap $16.58 $16.99.

Nezzie plans to sell all of her 300 shares of stock when she can profit $5,000.

To find the net asset for this case, divide the profit with the number of shares and the higher price in that.

\(\rm Net Asset=\dfrac{5000}{300}+16.99\\\rm Net Asset=33.66\\\)

Thus, the value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

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The statement '15 more than the sum of 5 and a number' is equivalent to the mathematical expression (5+n)+15.

Therefore the answer is (5+n)+15.

The statement "15 more than the sum of 5 and a number" is asking for an expression that represents the value that is 15 greater than the result of adding 5 and a number together. The mathematical way to express this is:

15 + (5 + n)

Where n is the number that we are adding to 5.

15 is being added to the sum of 5 and n. The parentheses around the 5 and n indicate that those two values are being added together before the 15 is added to them.

In other forms of representation

15+(5-n) or (5+n)+15 or (5-n) +15 or 15+5n does not convey the meaning you want it to convey as these forms does not represent "15 more than the sum of 5 and a number"

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