Deborah is flying to a vacation resort 1,416.25 miles away. Determine the plane's average speed if the flight takes 2.75 hours. (1 point) 194 mph 389 mph 480 mph 515 mph

Answer:

1. A TUNNEL WITH LEAKS

2. A BIG ELECTRIC BILL

Step-by-step explanation:

H = 60

A = 20

W = 7

S = 26

E = 62

U = 22

B = 100

G = 8

R = 5

T = 0

K = 24

N = 81

C = 90

I = 32

L = 1

There you have it.....

Final answer:

The initial question lacks the specificity needed for a detailed and accurate response. More information on the subject and grade level is required to provide relevant help.

Explanation:

Unfortunately, your question isn't clear enough for me to provide a concise and accurate answer. To ensure you get the help you need, please restate your question with more details, specifying the subject and grade level you're referring to. Once I have this information, I can offer you a more structured and detailed response that caters to your academic needs. Also remember, it's vital to review your questions for grammatical errors and make sure they're clear before posting, to ensure you receive the best possible responses.

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The complex number 5-3i is plotted on the complex plane at point (5,-3). The modulus of this complex number is approximately 5.8.

Complex numbers are mathematical entities that extend real numbers to include imaginary components, represented as "a + bi," where 'a' and 'b' are real numbers and 'i' is the imaginary unit (equal to the square root of -1). Complex numbers are used in various fields, including engineering and physics, to describe phenomena involving oscillations, electrical circuits, and quantum mechanics. They are vital for solving equations that have no real solutions and play a fundamental role in understanding complex systems and mathematical analysis, making them a valuable tool in science and engineering.

To graph the complex number 5-3i in the complex plane, you need to plot the point (5,-3). On the horizontal axis (real axis) you mark 5 and on the vertical axis (imaginary axis) you mark -3.

The modulus of a complex number a + bi is the square root of (a2 + b2). In this case, the modulus would be sqrt((5)2 + (-3)2) = sqrt(25 + 9) = sqrt(34), which is approximately 5.8 when rounded to the nearest tenth.

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Answer:2 pieces or 1 1/3

Step-by-step explanation:

cause if 2/3 was 1 piece and you divide by 1/2 you have double what you had making you have 2 pieces

Final answer:

Dividing two-thirds by one-half results in one and one-third pieces.

Explanation:

To divide two-thirds of a square by one-half, you can multiply the fractions. This is a division of fractions problem. You have two-thirds (2/3) of a square and you want to divide it by one-half (1/2). In division of fractions, you multiply by the reciprocal of the divisor. So, you would change the division to a multiplication and flip the second fraction (1/2 becomes 2/1). Therefore, (2/3) divided by (1/2) becomes (2/3) * (2/1). When we multiply these fractions, we get (4/3) or one and one-third. So, you have one and one-third pieces.

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Given:

The net value of the bakery (in thousands of dollars) t months after its creation is modeled by

Paul wants to know what his bakery's lowest net value will be.

To find:

The function in a different form (factored or vertex) where the answer appears as a number in the equation.

Solution:

Factor form is used to find the x-intercepts and vertex form is used to find the extreme values (maximum or minimum). So, here we need to find the vertex form.

We have,

Adding and subtract square of half of 6 in the parenthesis, we get

Vertex form:

where, (h,k) is vertex.

On comparing this equation with vertex form, we get the of the function is (3,-32).

Therefore, the vertex form is and the function has minimum value at (3,-32). It means, minimum net value of the bakery is -32 after 3 months.

The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means the minimum net value of the bakery is -32 after 3 months.

Given that,

Paul opened a bakery.

The net value of the bakery (in thousands of dollars) t months after its creation is modelled by the equation v(t) = 2t²- 12t - 14.

Paul wants to determine the bakery's lowest net value.

To rewrite the function in a different form,

Find the vertex of the quadratic equation.

The vertex form of a quadratic equation is given by,

v(t) = a(t-h)² + k,

Where (h, k) represents the coordinates of the vertex.

Proceed, v(t) = 2t² - 12t - 14,

v(t) = 2(t² - 6t) - 14,

v(t) = 2(t² - 6t + 3² - 3²) - 14

v(t) = 2(t - 3)² - 32

Vertex form:

v(t) = a(t-h)² + k,

where, (h,k) is vertex.

On comparing this equation with vertex form, we get the function is (3,-32).

Therefore,

The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means minimum net value of the bakery is -32 after 3 months.

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Answer:

x + √y

Step-by-step explanation:

A number x plus the square root of a number y

There are two variables involved

Variable x

Variable y

Plus means addition

Square root of y can be written as

√y

A number x plus the square root of a number y can be written as

x + √y in algebraic expression

The answer is x + √y