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Naily [24]
3 years ago
5

Evaluate the function

Mathematics
1 answer:
kumpel [21]3 years ago
4 0

Answer:Evaluate the function

k

(

x

)

=

−

x

2

+

6

k

(

x

)

=

-

x

2

+

6

at two different inputs and state the corresponding points.

Step-by-step explanation:

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The difference between the squares of two consecutive numbers is 23. what are the two numbers?
Ksju [112]

(x+1)^2-x^2=23

x^2+2x+1-x^2=23

2x+1=23

2x=22

x=11

11^2 = 121

x+1 =12

12^2=144

144-121 = 23

4 0
3 years ago
How can you find the probability of a simple event if the total number of equally likely outcomes is 20?
dimaraw [331]
You can divide the total number of outcomes.
5 0
3 years ago
a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di
Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}

Thus, the total prototypes will cost around $60.75

7 0
1 year ago
The owner of a skate shop notices that every time a certain employee has a shift, there are higher sales numbers at the end of t
Serjik [45]

Answer:

Correlation.

Step-by-step explanation:

When relationship between two or more variables are to be established such that the measure of the effect of one variable (independent variable) on the other variable (dependent variable) is evaluated , this is called correlation study or analysis. In the scenario above, the relationship between productivity or revenue and employee shift is correlated, that is a relationship was established between the revenue made and the shift days of a particular employee, which yielded a positive association between the two variables. The employee shift is the independent variable and the revenue made is the dependent variable.

6 0
3 years ago
Which answer choice is correct?
lana66690 [7]
I’m pretty sure it is A
5 0
3 years ago
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