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2 years ago

Find the area of the rectangle.

Mathematics

1 answer:

Andreyy892 years ago

5 0

Answer: 5.6ft²

Step-by-step explanation:

Area of a rectangle = length x width

= $\frac{4}{5} ft$ (7ft)

= $\frac{28}{5}ft^{2}$

= 5.6ft²

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Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 < = x < = 8. The length of the curve is . (Type an exact an

Mashutka [201]

Answer:

$\sqrt\frac{387}{20}$

Step-by-step explanation:

$Arc Length =\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^2 } } \, dx$

$y=\dfrac{3}{5}x^{\frac{5}{3}}- \dfrac{3}{4}x^{\frac{1}{3}}+6$

$\frac{dy}{dx} =x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}}$

$1+(\frac{dy}{dx})^2 }=1+(x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}})^2\\=1+(x^{\frac{4}{3}}-\dfrac{1}{2}+ \dfrac{1}{16}x^{-\frac{4}{3}})$

$=\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}}$

For the Interval $1\leq x\leq 8$

Length of the Curve $=\int\limits^8_1 {\sqrt{\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}} } } \, dx\\$

Using T1-Calculator

$=\sqrt\frac{387}{20}$

3 0

3 years ago

A study of the effects of color on easing anxiety compared anxiety test scores of participants who completed the test printed on

Pavlova-9 [17]

Answer:

H0 : μYellow = μGreen

H1 : μYellow < μGreen

Step-by-step explanation:

Let :

Yellow paper = μYellow

Green paper = μGreen

To test the hypothesis :

The null hypothesis is will state that there is no difference in mean of anxiety scores obtained for test taken of yellow and green papers

H0 : μYellow = μGreen.

The alternative hypothesis is the opposite of the null and it is to the left, where we want to test if the anxiety score is lower when take on a yellow paper

H1 : μYellow < μGreen

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2 years ago

You have 12 1/3 yards and you need 47 yards how many more yards of fabric do you need

Lady bird [3.3K]

Answer:

34 2/3

Step-by-step explanation:

You need 47 yards. You have 12 1/3

47 - 12 1/3. So we'll break it down.

47 - 12 = 35.

Now, 35 + 12 1/3 would make 47 1/3

So now 35 - 1/3=34 2/3

34 2/3 + 12 1/3 = 47

4 0

3 years ago

Use the diagram to answer the question. Line f is on plane R. True or false?

pychu [463]

Answer:

The answer is true because line f is seen on the plane R

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3 years ago

Solve, and then write the sum in standard form. 1 tenth + 2 tenths = 3 tenths Write the sum in standard form:

lbvjy [14]

Answer:

1 tenth=10 right?

1 tenth+2 tenths= 3 tenths or thirty

plus 3 more tenths is 6 tenths or 60

Step-by-step explanation:

Try 60

4 0

2 years ago

Find the area of the rectangle. ​

Find the area of the rectangle.