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2 years ago

Please help me with this question!

Mathematics

1 answer:

mezya [45]2 years ago

3 0

Answer:

$height = \frac{12 - 8}{2} = 2 \\ area = \frac{(12 + 8) \times 2}{2} = 20$

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Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply

Charra [1.4K]

Answer:

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

(x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

x(x⁴ +4) = 1(1⁴ +4) = 5

3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0

2 years ago

NEED HELP ASAP!!! <br> TEN POINTS!

Bogdan [553]

The answer it’s letter D

7 0

3 years ago

Which one of the following English phrases translates to this algebraic expression? 3n - 15

zhenek [66]

Answer:

Step-by-step explanation:

It is stating that it is 15 less(-15) than the Product of 3 and some number(3n)

5 0

3 years ago

Imitates the function, behavior or process of the thing it represents

Sav [38]

It represents simulations

4 0

3 years ago

Use the discriminant to determine the number of solutions and types of solutions for the quadratic equation, below. Then answer

Setler79 [48]

Answer:

A. Discriminant = 116

B. Number of solutions for the quadratic equation = 2

C. Type of solutions (circle one):Imaginary

D. Type of solutions (circle one):irrational

Step-by-step explanation:

The given quadratic equation is

${x}^{2} + 8x = 13$

We rewrite in standard form to get;

${x}^{2} + 8x - 13 = 0$

The discriminant is

$D = {b}^{2} - 4ac$

where a=1, b=8, c=-13

We substitute to get:

$D = {8}^{2} - 4 \times 1 \times - 13$

$D = 64 + 52$

$D = 116$

Since the discriminant is great than zero, we have two distinct real roots

6 0

3 years ago