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Arte-miy333 [17]
3 years ago
12

3. Your test scores in science are 83 and 87. What

Mathematics
1 answer:
Liula [17]3 years ago
4 0

Answer:

Between 85 and 100

Step-by-step explanation:

Getting this will get the average between the required numbers since the average of 83 and 87 is 85, getting 85 will keep the answer at 85 and getting 100 will get the average at 90.

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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

5 0
3 years ago
Find the area of the triangle below.
Rom4ik [11]

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

in our case we have a baseline with its associated height right there. and so the area is

17 × 6 / 2 = 17 × 3 = 51 ft²

6 0
2 years ago
Find the composite function (please help)
anastassius [24]

Answer:

(f o h)(x) = -10x + 32

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

<u>Step 2: Find Composite Function</u>

  1. Substitute:                         (f o h)(x) = 2(∛(12 - 5x))³ + 8
  2. Evaluate:                            (f o h)(x) = 2(12 - 5x) + 8
  3. Distribute 2:                       (f o h)(x) = 24 - 10x + 8
  4. Combine like terms:         (f o h)(x) = -10x + 32

And we have our final answer!

8 0
3 years ago
Daniela ha comprado una finca . Si cada metro cuadrado ñe ha costado 100$ , ¿ cuánto le ha costado la finca?
12345 [234]
Creo que te falta información posiblemente la imagen de la finca
8 0
3 years ago
Convert pounds to ounces to<br> complete the table.
True [87]

1 : 16

2 : 32

4 : 64

6 : 96

12 : 192

You find these by multiplying the pounds by ounces

So, 2 pounds * 16 ounces = 32 ounces.

4 0
3 years ago
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