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DedPeter [7]
3 years ago
8

Model factors: use tiles to find all the factors of the product, record the arrays on grid paper and write the factors shown.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0
The factors is just 1 and 23. The array should be 23 rows/columns of just 1 dot only. Here's an example:

Factors of 5: 1 and 5

Array: •••••
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Find the slope of two points: (-2,-1) and (4,3)
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Answer: m = 2/3

\frac{-1-3}{-2-4} = \frac{-4}{-6} = \frac{2}{3}

6 0
3 years ago
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castortr0y [4]

Answer:

c. 60 mins

Step-by-step explanation:

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5 0
3 years ago
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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4$ is what percent of 50$ ?
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8 percent. The answer to 4$is what percent of 50$ is 8%



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