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2 years ago

Help this is due today!!!!

Mathematics

1 answer:

KIM [24]2 years ago

7 0

$\frac{4}{32} \times 100 = 12.5\%$

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What is the second term in the binomial expansion of (2r-3s)12?

Reptile [31]

$(a+b)^n=\displaystyle\sum_{k=0}^n\binom nka^{n-k}b^k$

where $\dbinom nk=\dfrac{n!}{k!(n-k)!}$ . The second term of the expansion occurs when $k=1$ .

So the second term of the expansion of $(2r-3s)^{12}$ is

$\dbinom{12}1(2r)^{12-1}(-3s)^1=12(2r)^{11}(-3s)=-73728r^{11}s$

5 0

3 years ago

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the ratio of manjo juice to guava juice in paradise punch is 5 to 3. Leilani has 32 fl oz of manjo juice. how much guava juice d

rodikova [14]

Originally the ratio is 5:3, but we can make this ration 5x:3x because its equal. By doing so, we know that 5x+3x=32.

Now just solve the equation:

5x+3x=32

8x=32

x=4.

Now insert x into ratio.

Since she needs 3x of guava juice, she needs 3*4 fl oz of guava juice. She need 12 fl oz of guava juice.

Answer:

12 FL OZ of guava juice.

8 0

3 years ago

5 times the complement of an angle is 15 more than two times the supplement of the angle. Find the angle,

USPshnik [31]

Answer:

The angle measures 25°; the complement measures 65°; the supplement measures 155°.

Step-by-step explanation:

The sum of the measures of two complementary angles is 90.

If the angles measure x and y, then x + y = 90.

Given angle x, then y = 90 - x.

The sum of the measures of two supplementary angles is 180.

If the angles measure x and y, then x + y = 180.

Given angle x, then y = 180 - x.

Let the angle be x.

Its complement is 90 - x.

Its supplement is 180 - x.

5(90 - x) = 2(180 - x) + 15

450 - 5x = 360 - 2x + 15

-3x = -75

Angle: x = 25

Complement: 90 - x = 90 - 25 = 65

Supplement: 180 - x = 180 - 25 = 155

Answer: The angle measures 25°.;, the complement measures 65°; the supplement measures 155°.

8 0

3 years ago

Please help me quick please i don't understand

Shtirlitz [24]

Square root of 15 is an irrational number.

7 0

2 years ago

Helppp(◕દ◕)

Aleksandr-060686 [28]

Answer:

13 cm

Step-by-step explanation:

Use Pythagora's theorem to solve for the hypotenuse of the triangle:

$a^2+b^2=c^2$

Where a and b are the two shorter legs, and c is the hypotenuse.

Replace the values in and solve for c:

$5^2+12^2=c^2\\25+144=c^2\\169=c^2\\13=c$

7 0

2 years ago

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