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LUCKY_DIMON [66]
3 years ago
14

You can use the interactive graph below to find the answer.

Mathematics
1 answer:
qwelly [4]3 years ago
4 0

Answer:

there is only one solution.

Step-by-step explanation:

hope this helps!

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What is the image of the point (- 6, 1) after the reflection over the line y = 2 ?
Pavlova-9 [17]
It will be c. (-6, 3)
6 0
3 years ago
You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3
Charra [1.4K]

Answer:

Dimensions will be

Length = 7.23 cm

Width = 7.23 cm

Height = 9.64 cm

Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

h=\frac{504}{lw}

Sides which involve length and width and height, cost = 3 cents per cm²

Top and bottom of the box costs = 4 cents per cm²

Cost of the sides C_{s}= 3[2(l + w)h] = 6(l + w)h

C_{s}= 3[2(l + w)h]

C_{s}=6(l+w)(\frac{504}{lw} )

Cost of the top and the bottom C_{(t,p)}= 4(2lw) = 8lw

Total cost of the box C = 3024\frac{(l+w)}{lw} + 8lw

                                      = 3024[\frac{1}{l}+\frac{1}{w}] + 8lw

To minimize the cost of the sides

\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0

\frac{3024}{l^{2}}=8w

\frac{378}{l^{2}}=w ---------(1)

\frac{dC}{dw}=3024(-w^{-2})+8l=0

\frac{3024}{w^{2}}=8l

\frac{378}{w^{2}}=l

w^{2}=\frac{378}{l}-------(2)

Now place the value of w from equation (1) to equation (2)

(\frac{378}{l^{2}})^{2}=\frac{378}{l}

\frac{(378)^{2} }{l^{4}}=\frac{378}{l}

l³ = 378

l = ∛378 = 7.23 cm

From equation (2)

w^{2}=\frac{378}{7.23}

w^{2}=52.28

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

h=\frac{504}{(7.23)^{2}}

h = 9.64 cm                        

6 0
3 years ago
The spinner for a board game has eight colors the arrow can land on. What are the degrees of freedom for a goodness-of-fit test
Juliette [100K]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Number of colors that the arrow can land on = 8

We need to find the degrees of freedom for a goodness of fit test of the fairness of this spinner.

As we know that degree of freedom is 1 less than the size of sample.

So, Mathematically, it is expressed as below:

So, Degree of freedom would be

v=n-1\\\\v=8-1\\\\v=7

Hence, Option 'c' is correct.

7 0
3 years ago
What is the domain of the sine function ?
Reptile [31]
There are no restrictions on the domain of the since function.
The domain is all real numbers.
5 0
3 years ago
Read 2 more answers
Pls anyone help for a big change in my grade
gregori [183]

Answer:

x=3

Step-by-step explanation:

A vertical line will have the equation in terms of x. Any point you choose on line <em>l </em>will have an x-coordinate of 3.

6 0
2 years ago
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