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givi [52]
3 years ago
5

Evaluate BC for A = 5, B = -4, and C = 2. -8 6 -6

Mathematics
1 answer:
kaheart [24]3 years ago
5 0
BC = -8

Plug in B for -4 and C for 2

-4(2)

The answer would be -8
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He ran a total of 8.439 miles. Over the three days he ran less than he needed to for his goal, he has to run 0.061 more miles to gain his goal

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simple! add all of the data numbers and you get a total of 8.439 miles. He has to run 8.5 miles but he does not reach that. he has to run 0.061 miles to gain his goal (8.5-8.439) I hope this helps! (got here as soon as possible)

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El numero de libros vendidos en una tienda aumentó aproximadamente de 6000 a 9000 durante varios meses cual porcientorepresenta
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50%

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A box is being created out of a 15 inch by 10 inch sheet of metal. Equal-sized squares are cutout of the corners, then the sides
ivolga24 [154]

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

                                                         =(15-2x)(10-2x)x cubic inches

                                                         =(150x-50x²+4x³) cubic inches

∴ V= 4x³-50x²+15x

Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

Apply quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=12, b= -100 and c=15

x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}

\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}

\Rightarrow x=0.1528,8.18

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

Now, V''|_{x=0.1528}=24(0.1528)-100

∴At x=0.1528 inch, the volume of the metal box will be maximum.

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

4 0
3 years ago
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