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matrenka [14]
3 years ago
8

The access code for a vault consists of four digits. The first digit

Mathematics
2 answers:
Vikki [24]3 years ago
6 0

Answer:

5 * 10 * 10 * 9 = 4500

Step-by-step explanation:

nekit [7.7K]3 years ago
3 0
Answer:

4500

Explanation:

In photo ->

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Find the coefficient of the x^3 in the expansion of (2x-9)^5
il63 [147K]

Use the binomial theorem:

\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}

The <em>x</em> ³ terms occurs for 5 - <em>k</em> = 3, or <em>k</em> = 2, and its coefficient would be

\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}

8 0
3 years ago
V=1/3 pie r squared h
kvasek [131]
This is volume of a sphere.
7 0
3 years ago
What is 1/16 times 3​
Lena [83]

Answer:

\bold{\frac{3}{16} }

Explanation:

1 / 16 (3)

= (1 / 16) (3 / 1)

= (1)(3) / (16)(1)

= 3 / 16

4 0
3 years ago
Elena has 14 pieces of bannana bread. She gives an equal amount of bannana bread to 4 friends. How many peices of bannana bread
Mashutka [201]

You have to divide the 14 pieces amongst 4 friends: 14/4. This can be simplified into a fraction. Since both the numerator and denominator can be divided by 2, you can simplify the fraction to 7/2 and make it into a mixed number 3 1/2, or decimal form 3.5. Each friend got three and a half pieces of banana bread.

6 0
3 years ago
Read 2 more answers
The equation 3x+4=5x-4 has the solution set {4}. explain why the equation (3x+4)+4=5x-4)+4 also has the solution set {4}
cestrela7 [59]
Notice that the terms in parentheses on both sides of the equation are added to 4.

(3x + 4) + 4 = (5x - 4) + 4


So we can set the equation as.

3x + 4 = 5x - 4


Subtract 3x on both sides of equation.

4 = 2x - 4


Add 4 on both sides of equation.

8 = 2x


Divide both sides of equation by 2.

4 = x


4 is the only value that satisfies the statement.
5 0
3 years ago
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