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snow_tiger [21]

3 years ago

10

In a school, the ratio of musicians to athletes is 3:1.

1 answer:

KIM [24]3 years ago

6 0

3 times the number of athletes.
your ratio is 3:1 so the musicians are three and athletes are one so it’s three times the athletes

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What expression is equivalent to? Screenshots attached. Please help!

Galina-37 [17]

Answer:

the correct option is C i.e. $8x^4yz^4\sqrt{2yz}$

Step-by-step explanation:

We need to solve the expression :

$\sqrt{128x^8y^3z^9}$

Factors of 128 are: 2x2x2x2x2x2x2

and we know √ = 1/2

and √a.b = √a.√b

Solving:

$=\sqrt{128x^8y^3z^9}\\\\=\sqrt{128} \sqrt{x^8} \sqrt{y^3} \sqrt{z^9}\\=\sqrt{2x2x2x2x2x2x2}\sqrt{x^8} \sqrt{y^2.y} \sqrt{z^8.z}\\=\sqrt{2^2x2^2x2^2x2}\sqrt{x^8} \sqrt{y^2.y} \sqrt{z^8.z}\\=(2^2)^{1/2} (2^2)^{1/2}(2^2)^{1/2} (2)^{1/2} (x^8)^{1/2} (y^2)^{1/2} (y)^{1/2} (z^8)^{1/2} z^{1/2}\\=2.2.2.(2)^{1/2}x^4y(y)^{1/2}z^4(z)^{1/2}\\=8x^4yz^4\sqrt{2yz}$

So, the correct option is C i.e. $8x^4yz^4\sqrt{2yz}$

7 0

3 years ago

1. Which formula defines the sequence f(1)=2, f(2)= 6, f(3)= 10, f(4)= 14, f(5)= 18?

Natasha_Volkova [10]

Answer:

$f(n) =4 + f(n-1) \\for\ n>2$

Step-by-step explanation:

Given

$f(1)=2\\ f(2)= 6\\ f(3)= 10\\ f(4)= 14\\ f(5)= 18$

Required

Determine the formula

First, we need to solve common difference (d)

$d = f(n) - f(n-1)$

Take n as 2

$d = f(2) - f(2-1)$

$d = 6 - 2$

$d = 4$

Represent each function as a sum of the previous

$f(1) = 2$

$f(2) = 2 + 4 = f(1) + 4$

$f(3) = 6 + 4 = f(2) + 4$

$f(4) = 10 + 4 = f(3) + 4$

$f(5) = 14 + 4 = f(4) + 4$

Represent the function as $f(n)$

$f(n) =f(n-1) + 4$

Reorder

$f(n) =4 + f(n-1) \\for\ n>2$

7 0

4 years ago

The booster club needs to raise at least $6,000 for new football uniforms. So far, they have raised $1,200.

lana66690 [7]

Answer:

• Let x be the number of members

• In inequalities, at least means greater or equal ( ≥ )

${ \underline{ \mathfrak{ \: answer : }}}$

${ \boxed{ \boxed{ \rm{x + 1200 \geqslant 6000}}}}$

• To get the average, substitute for x as 99 and amount collected by each member

3 0

3 years ago

Vika can run a mile in 15 minutes, Sandy can run 3

RSB [31]

Answer:

Hyun

Step-by-step explanation:

Vika: 1= 15 minutes

Sandy: 1= 10 minutes

Hyun: 1= 7 minutes

3 0

3 years ago

A. Determine whether the sequence is an addiction pattern, a multiplication pattern, or neither.

oksian1 [2.3K]

Answer:

A. Neither

B. n²

C. 5² = 25

D. 10² = 100

3 0

4 years ago