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4 years ago

In Florida four seagulls ate 10 pounds of garbage what is the proportional relationship

Mathematics

1 answer:

adelina 88 [10]4 years ago

6 0

4 seagulls ate 10 pounds of garbage total.

divide 10 by 4

10÷4=2.5

2.5=2 1/2

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8 more than twice a number is greater then -14

zepelin [54]

Answer:

x>-11

Step-by-step explanation:

2x+8>-14

2x>-14-8

2x>-22

x>-22/2

x>-11

4 0

3 years ago

If sin(A+B)=1/2 & sin(A-B)=1/3 find sin(2A)

timofeeve [1]

Answer:

sin(2A) = (2√2 + √3) / 6

Step-by-step explanation:

2A = (A+B) + (A−B)

sin(2A) = sin((A+B) + (A−B))

Angle sum formula:

sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)

sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)

Pythagorean identity:

sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]

sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)

sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)

sin(2A) = 1/3 √2 + 1/6 √3

sin(2A) = (2√2 + √3) / 6

6 0

3 years ago

What is the following quotient?

mamaluj [8]

Answer:

A. $2(3^{\frac{1}{3}})-\sqrt[3]{18}$

Step-by-step explanation:

We are given that

$\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})$

We have to find the quotient.

$\frac{6}{\sqrt[3]{9}}-3(\frac{\sqrt[3]{6}}{\sqrt[3]{9}})$

$\frac{2\times 3}{\sqrt[3]{3^2}}-3(\frac{\sqrt[3]{3\times 2}}{\sqrt[3]{3^2}})$

$2\times\frac{3}{3^{\frac{2}{3}}}-3(\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3^{\frac{2}{3}}})$

Using the property

$(ab)^n=a^n\cdot b^n$

$2\times 3^{1-\frac{2}{3}}-3(2^{\frac{1}{3}}\times 3^{\frac{1}{3}-\frac{2}{3}})$

Using the property

$\frac{a^x}{a^y}=a^{x-y}$

$2(3^{\frac{1}{3}})-3(2^{\frac{1}{3}}\times 3^{-\frac{1}{3}})$

$2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{1-\frac{1}{3}}$

$2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{\frac{2}{3}}$

$2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{3^2}$

$2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{9}$

$2(3^{\frac{1}{3}})-\sqrt[3]{2\times 9}$

$2(3^{\frac{1}{3}})-\sqrt[3]{18}$

Hence, the quotient of $\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})$ is given by

$2(3^{\frac{1}{3}})-\sqrt[3]{18}$

Option A is correct.

4 0

3 years ago

Read 2 more answers

Solve these inequalities:<br> 7x-1<26-2x<br> please help me with this one guys ;-;

tiny-mole [99]

Answer: inequality form x < 3 interval form: ( -∞, 3)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0

3 years ago

What is the slope of this line?

V125BC [204]

The slope is -3.

rise = 3
run = -1

3
------- = -3
-1

4 0

4 years ago