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professor190 [17]

3 years ago

11

The temperature of dry ice is -78.5° C. Which is colder, dry ice or liquid nitrogen?

1 answer:

svlad2 [7]3 years ago

4 0

Answer:

Liquid nitrogen is 1. Liquid and 2. 90°C and dry ice is, well, ice. So dry ice is obviously colder.

Step-by-step explanation:

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Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it

Zanzabum

Answer:

$\beta=45\degree\:\:or\:\:\beta=135\degree$

Step-by-step explanation:

We want to solve $\tan \beta \sec \beta=\sqrt{2}$ , where $0\le \beta \le360\degree$ .

We rewrite in terms of sine and cosine.

$\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}$

$\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}$

Use the Pythagorean identity: $\cos^2\beta=1-\sin^2\beta$ .

$\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}$

$\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)$

$\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta$

$\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0$

This is a quadratic equation in $\sin \beta$ .

By the quadratic formula, we have:

$\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{2}{2\cdot \sqrt{2} }$ or $\sin \beta=\frac{-4}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{1}{\sqrt{2} }$ or $\sin \beta=-\frac{2}{\sqrt{2} }$

$\sin \beta=\frac{\sqrt{2}}{2}$ or $\sin \beta=-\sqrt{2}$

When $\sin \beta=\frac{\sqrt{2}}{2}$ , $\beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )$

$\implies \beta=45\degree\:\:or\:\:\beta=135\degree$ on the interval $0\le \beta \le360\degree$ .

When $\sin \beta=-\sqrt{2}$ , $\beta$ is not defined because $-1\le \sin \beta \le1$

4 0

3 years ago

I need to know how to solve these

My name is Ann [436]

1. make an equation
4x+7(20) = 5(x+20)
2. multiply the numbers and distribute 5 through the parenthesis
4x+140 = 5x+100
3. move variables to the left side and change its sign and move constant to the right side and change its sign
4x-5x = 100-140
4. collect the like terms and calculate the difference
-x = -40
5. change the signs on both sides of the equation
x = 40
he needs to use 40 pounds of the cheaper coffee.
hope this helped!

4 0

3 years ago

Given p : q = 5 : 2 and q : r = 4 : 3, find the ratio of p : q : r

yaroslaw [1]

Answer:

p : q : r = 10 : 4 : 3

Step-by-step explanation:

Expressing the ratio in fractional form

$\frac{q}{r}$ = $\frac{4}{3}$ ( cross- multiply )

4r = 3q ( divide both sides by 4 )

r = $\frac{3}{4}$ q = $\frac{3}{4}$ × 2 = $\frac{3}{2}$

Then

p : q : r

= 5 : 2 : $\frac{3}{2}$ ( multiply all parts by 2 )

= 10 : 4 : 3

7 0

3 years ago

Read 2 more answers

What is the coefficient of the x^4 term in the expanded form of (2x-7)^6

Artist 52 [7]

Answer:

The coefficient of $x^{4}$ = 11760

Step-by-step explanation:

∵ The rule of expanded the binomial is :

$(a+b)^{n}=C_{0} ^{n} a^{n}b^{0}+C_{1}^{n}a^{n-1}b^{1}+C_{2}^{n}a^{n-2}b^{2}+.............$

∴ The Expanded of $(2x-7)^{6}$ is:

$(2x-7)^{6}=C_{0}^{6}(2x)^{6}(-7)^{0}+C_{1}^{6}(2x)^{5}(-7)^{1}+C_{2}^{6}(2x)^{4}(-7)^{2}+..........$

$(2x-7)^{6}=(1)(64x^{6})(1)+(6)(32x^{5})(-7)+(15)(16x^{4})(-7)^{2}$

We will take the term of $x^{4}$ and find the coefficient of it

∴ The coefficient of $x^{4}$ = $(15)(16)(-7)^{2}=(15)(16)(49)=11760$

6 0

3 years ago

Suppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a

Vanyuwa [196]

The answer is 14 you should do 26=12=14

7 0

3 years ago

Read 2 more answers