Which expressions are equivalent to 3(62)? Select each correct answer. 3(60 + 2) 3(6 + 2) 3(6 + 56) 3(60 + 20)

Answer:

69.74 feet per second is the velocity of an object that has fallen 76 feet

Step-by-step explanation:

As per the statement:

The formula v = square root of 64h gives the velocity v in feet per second of an object that has fallen h feet.

⇒[tex]v = \sqrt{64h}[/tex]

where, v is the velocity in feet per second and an object that has fallen h feet.

We have to find the velocity of an object that has fallen 76 feet.

⇒ h = 76 feet.

Substitute in the given formula we have;

[tex]v = \sqrt{64 \cdot 76} = \sqrt{4864} = 69.7423831[/tex] feet per second

Therefore, the velocity of an object that has fallen 76 feet to the nearest hundredth is, 69.74 feet per second

Answer:

c is the answer

Step-by-step explan ation:

Answer:

Both the equation and its inverse are functions.

Step-by-step explanation:

A function is relation in which one input gives one and only one output.

Here, the given function,

[tex]f(x)=5x+1[/tex]

Which is a polynomial,

A polynomial is a function because for each input value it gives only one output value.

⇒ f(x) is a function.

Now, For finding the inverse of f(x),

Replace f(x) by y,

y = 5x + 1

Switch x and y,

x = 5y + 1

Isolate y on the left side,

-5y = 1 - x

[tex]y = \frac{1-x}{-5}=\frac{x-1}{5}[/tex]

Replace y by [tex]f^{-1}(x)[/tex],

[tex]f^{-1}(x)=\frac{x-1}{5}[/tex]

Which is also a polynomial,

Hence, the inverse of f(x) is also a function,

Last option is correct.

Answer:c(x)=2.00 +0.05x

Step-by-step explanation:

Answer:

true....

Step-by-step explanation:

For the given expression, the equation for v in terms of all other variables involved will be v=(r·k)/2+h.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the given expression is 2(v-h)/k=r

We have to solve the expression in the term v as,

2(v-h)/k=r

Open the brackets and multiply 2 in the bracket as

(2v-2h)/k=r

Apply the cross-multiplication operation as

2v-2h=r·k

Rearrange the equation as

2v=r·k+2h

The equation for v in terms of all other variables involved is obtained as,

v=(r·k)/2+h

Thus, for the given expression, the equation for v in terms of all other variables involved will be v=(r·k)/2+h.

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to get an A, she needs >=160 points and she already has 125 points

let 'x' be the number of points on the last part of her project then

125 + x >= 160

x >= 160 - 125

x >= 35

Sarah needs at least 35 points on the last part of her project.

Answer:

P ≥ 35

Step-by-step explanation:

Naming P to the Points needed for the last part of Sarah's project,

we can define an inequation modelling in which cases Sarah will have enough points for an A or better:

It is stated that:

Then the inequation can be written:

[Points-so-far] + [Points-needed] greater or equal than 160

In math symbols:

[tex]125+P\geq 160\\P\geq 160-125\\P\geq 35[/tex]

Final answer:

To calculate the sum of the squares of the roots of a quadratic equation, apply Vieta's formulas to find the sum and product of the roots and use them in the identity (α + β)² - 2αβ to avoid directly solving for the roots.

Explanation:

To find the sum of the squares of the roots of an equation, especially for a quadratic equation of the form ax²+bx+c=0, we use the relationship between the coefficients and the roots provided by Vieta's formulas.

The sum of the roots, denoted as α and β, is given by -b/a, and the product of the roots is c/a. To find the sum of the squares of the roots (α² + β²), you can use the identity (α + β)² = α² + 2αβ + β², or α² + β² = (α + β)² - 2αβ.

By substituting the sum and product of the roots from Vieta's formulas, you can calculate the sum of the squares without actually solving for the roots. This approach is especially useful in equilibrium problems or other situations where you might encounter square roots or higher powers and wish to simplify calculations.

We can assume that Bill's store is in danger of experiencing a diseconomy of scale.

Given Bill's grocery store chain's 2,000 total employees, 900 of whom are managers, it may be more logical to believe that Bill's store is in danger of suffering a diseconomy of scale.

Diseconomies of scale relate to a situation in which a company expands so much that its costs per unit rise.

When a corporation suffers diseconomies of scale, needless expenditures frequently develop as a result of greater management issues and inefficiencies in the flow of work and commodities.

Almost half of Bill's employees are managers of some kind. This will reduce his company's productivity and cause costs to increase as output expands.

Complete question:

Bill owns a grocery store chain with 2,000 total employees. nine hundred of his employees are managers. what can we assume about the total productivity of bill’s chain?

a. bill’s store is in danger of experiencing a diseconomy of scale

b. the grocery store is experiencing a constant return to scale

c. the grocery store is experiencing an economy of scale

d. bill’s store is run very efficiently.

Set B = {(4, 2), (4, -2), (16, 4), . . .} is not a function because it has an 'x' value (4) that corresponds to more than one 'y' value (2,-2), which contradicts the definition of a function.

The given set B = {(4, 2), (4, -2), (16, 4), . . .} is not a function. In mathematical terms, for a set of ordered pairs to be considered a function, each input (or 'x' value) must have exactly one output (or 'y' value). However, in B, the input 4 corresponds to two different outputs: 2 and -2. This violates the definition of a function, proving that B is not a function.

It's useful to remember this as a rule: in functions, a particular x-value can only be paired with a single y-value. In contrast, in non-functions, a single x-value can be linked to multiple y-values, as demonstrated by set B.

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The interval on which f(x) is integrable is:

                             [-2, ∞)

We are given a function f(x) as:

               [tex]f(x)=\sqrt{x+2}[/tex]

We know that a function is integrable over a given interval if it is continuous over a given interval.

Now, we know that the square root function is well defined if the function under the square root sign is positive.

This means here the function is well defined if:

[tex]x+2\geq 0[/tex]

i.e.

[tex]x\geq -2[/tex]

Also, the square root function is continuous over it's domain.

and hence it is integrable over it's domain.

This means that the function is integrable over:

                       [-2,∞)

Answer:

the other answer is wrong number 2 is correct

Step-by-step explanation:

Answer:

The correct answer is: False

The value of the given expression is -0.9

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression -4.2+3.3 = ? we need to find the answer in the decimal form,

To find the same, we have to simply subtract 3.3 from 4.2 and since the greater number is in negative the result will also be in negative,

3.3-4.2 = -0.9

Hence, the value of the given expression is -0.9

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