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3 years ago

-4 , 5/8 , 3 and 2.9 order the following Greatest to least

Mathematics

1 answer:

sladkih [1.3K]3 years ago

7 0

Answer:

-4, 5/8, 2.9 3

Step-by-step explanation:

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How do estimate the difference of mixed numbers

avanturin [10]

Simplify then subtract.

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4 years ago

Read 2 more answers

In each of Problems 5 through 10, verify that each given function is a solution of the differential equation.

WARRIOR [948]

Answer:

For First Solution: $y_1(t)=e^t$

$y_1(t)=e^t$ is the solution of equation y''-y=0.

For 2nd Solution: $y_2(t)=cosht$

$y_2(t)=cosht$ is the solution of equation y''-y=0.

Step-by-step explanation:

For First Solution: $y_1(t)=e^t$

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

$y_1(t)=e^t$

First order derivative:

$y'_1(t)=e^t$

2nd order Derivative:

$y''_1(t)=e^t$

Put Them in equation y''-y=0

e^t-e^t=0

0=0

Hence $y_1(t)=e^t$ is the solution of equation y''-y=0.

For 2nd Solution:

$y_2(t)=cosht$

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

$y_2(t)=cosht$

First order derivative:

$y'_2(t)=sinht$

2nd order Derivative:

$y''_2(t)=cosht$

Put Them in equation y''-y=0

cosht-cosht=0

0=0

Hence $y_2(t)=cosht$ is the solution of equation y''-y=0.

3 0

3 years ago

Prove that tan 10+tan 70'+taniou = tanio tanfo'tam 1oo.

Galina-37 [17]

Question:

Prove that:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Answer:

Proved

Step-by-step explanation:

Given

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Required

Prove

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Subtract tan(10) from both sides

$- tan(10)+tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

$tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

Factorize the right hand size

$tan(70) + tan(100) = -tan(10)(-tan(70). tan(100) + 1)$

Rewrite as:

$tan(70) + tan(100) = -tan(10)(1-tan(70). tan(100))$

Divide both sides by $1-tan(70). tan(100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = \frac{-tan(10)(1-tan(70). tan(100))}{1-tan(70). tan(100))}$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$

In trigonometry:

$tan(A + B) = \frac{tan(A) + tan(B)}{1 - tan(A)tan(B)}$

So:

$\frac{tan(70) + tan(100)}{1 - tan(70)tan(100)}$ can be expressed as: $tan(70 + 100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$ gives

$tan(70 + 100) = -tan(10)$

$tan(170) = -tan(10)$

In trigonometry:

$tan(180 - \theta) = -tan(\theta)$

So:

$tan(180 - 10) = -tan(10)$

Because RHS = LHS

Then:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$ has been proven

6 0

3 years ago

Question in photo. it needs to all equal the same number.

Snowcat [4.5K]

Answer:

1. There are _______ quarter notes in a whole note.

2. There are_______ half notes in a whole note.

3. There are________ quarter notes in a half note.

4. There are________ quarter notes in two half notes.

5. There are ______quarter notes in three half notes.

6. A whole note equals________ half notes

7. A whole note equals________ quarter notes. 8. A half note equals______ quarter notes.

9. Two half notes equal_______quarter notes. 10. Four quarter notes equal_______ whole note.

4 0

3 years ago

To make a homemade all purpose cleaner, you can use the ingredients shown in the table (1 cup vinegar, ½ cup of rubbing alcohol,

vovikov84 [41]

The total solution will include 17.5 cup of vinegar 0.5 cups of rubbing alcohol, and 2 cup of water which is a total of 35 cups of solution. Sofie will need 6 total containers to hold all of the solution.

<h3>Number of container</h3>

1 cup of rubbing alcohol:

1 cup of rubbing alcohol=1÷1/2

1 cup of rubbing alcohol=2

Cup of alcohol needed:

Cup of alcohol needed=1+1/2+16

Cup of alcohol needed=17.5 cups

Total cups:

Total cups=17.5×2

Total cups=35 cups

Number of container:

Number of container=1+35/5

Number of container=1+5

Number of container=6 containers

Therefore the total solution will include 17.5 cup of vinegar 0.5 cups of rubbing alcohol, and 2 cup of water which is a total of 35 cups of solution. Sofie will need 6 total containers to hold all of the solution.

Learn more about Number of container here:brainly.com/question/20533888

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5 0

1 year ago