Select the expression that has a quitiont greater than 1. Explain your reasoning.

1 answer:

7 0

The answer is 3 1/8 divided by 2 2/5. What I did was turn all of them into improper fractions then divided (which is basically cross-multiply). By doing so, you would have 14/3 divided by 21/4 which equals 0.8888888 or 8/9 in fraction form, 25/8 divided by 12/5 which equals 1.30208333 or 1 29/96, 13/7 divided by 7/3 which equals 0.79591836 or 39/49, and 23/4 divided by 59/8 which equals 0.77966101 or 46/59

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Help finding derivative

marusya05 [52]

$\bf \displaystyle \cfrac{d}{dx}\left[ \int\limits_{\sqrt{x}}^{\frac{\pi }{2}}~[cos(t^2)]dt \right]\implies \cfrac{d}{dx}\left[ -\int\limits_{\frac{\pi }{2}}^{\sqrt{x}}~[cos(t^2)]dt \right]\\\\\\ \cfrac{d}{dx}\left[ -\int\limits_{\frac{\pi }{2}}^{x^{\frac{1}{2}}}~[cos(t^2)]dt \right]\\\\
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u=x^{\frac{1}{2}}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}}\\\\\\ \textit{and now, let's use the \underline{2nd fundamental theorem of calculus}}\\\\
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$\bf \displaystyle \cfrac{d}{dx}\left[ -\int\limits_{\frac{\pi }{2}}^{u}~[cos(t^2)]dt \right]\impliedby \cfrac{df}{dx}=\cfrac{df}{du}\cdot \cfrac{du}{dx}
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\cfrac{df}{dx}=-cos(u^2)\cdot \cfrac{du}{dx}\implies \cfrac{df}{dx}=-cos(u^2)\cdot \cfrac{1}{2\sqrt{x}}
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\cfrac{df}{dx}=-cos[(\sqrt{x})^2]\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{df}{dx}=-\cfrac{cos(x)}{2\sqrt{x}}$

6 0

3 years ago

What is the area of a triangle that has a base of 15 1/4in. and a height of 18in?show work

Sauron [17]

Answer : 137.25

Step 1 - Convert the base of a triangle to decimal form

15 1/4 = 15.25

Step 2 - Multiply base by height

18 * 15.25 = 274.5

Step 3 - Divide 274.5 by 2

274.5 ÷ 2 = 137.25

3 0

3 years ago

The probability of winning the shell games if you randomly pick is 1 in 3. What would be the approximate probability of winning

erastova [34]

Answer:

1 /81

Step-by-step explanation:

1/3 * 1/3 * 1/3 * 1/3 (One for each game) = 1/81

6 0

4 years ago

If the area of a square is 32 ft2, how long is its diagonal?

Tema [17]

Diagonal = 8

D=diagonal

A=area

A=D^/2

32=D^/2

32/1 = D^/2

cross multiplication

32x2=D^x1

64=D^

8 =D

7 0

3 years ago

Describe the error made in subtracting the two rational expressions shown:

horrorfan [7]

Answer:

You must subtract all terms of the numerator being subtracted out, not just the first term. The negative 2 should have been subtracted out to get a numerator of x + 1 - x + 2. The simplified numerator of the difference should be 3, not –1.

Read more on Brainly.com - brainly.com/question/1609986#readmore

Step-by-step explanation:

8 0

3 years ago