Answer:
4.7^3
C is your right answer
Step-by-step explanation:
4.7 is being multiplied 3 times by itself so therefore you will have an exponent that has a base of 4.7
And you know what the exponent is because the many times its multiplied by itself will be the exponent.
Answer:
A. 217
Step-by-step explanation:
3,472/16 = 217
Answer:
3600
Step-by-step explanation:
Since the question gives you p, you replace p (which is just a placeholder) with 5.
Your equation should look like this:
![(6*2(5))^2 = 3600](https://tex.z-dn.net/?f=%286%2A2%285%29%29%5E2%20%3D%203600)
Answer:
![\text{Riemann sum }=\sum \frac{3}{8}(8-h)Dh](https://tex.z-dn.net/?f=%5Ctext%7BRiemann%20sum%20%7D%3D%5Csum%20%5Cfrac%7B3%7D%7B8%7D%288-h%29Dh)
![\text{Area =}\int_{a}^{b} \frac{3}{8}(8-h)Dh](https://tex.z-dn.net/?f=%5Ctext%7BArea%20%3D%7D%5Cint_%7Ba%7D%5E%7Bb%7D%20%5Cfrac%7B3%7D%7B8%7D%288-h%29Dh)
Step-by-step explanation:
Since we have been given height of triangle as 8 and length of its base as 3. We can use similar triangles to express the base of the smaller triangle in terms of h.
The height of the smaller triangle will be ![(8-h)](https://tex.z-dn.net/?f=%288-h%29)
Let x be the base of the smaller triangle. Therefore, using similar triangles, we can set the ratios of corresponding sides of the two triangles equal to each other as shown below:
![\frac{8-h}{x} =\frac{8}{3} \\x=\frac{3}{8}(8-h)](https://tex.z-dn.net/?f=%5Cfrac%7B8-h%7D%7Bx%7D%20%3D%5Cfrac%7B8%7D%7B3%7D%20%5C%5Cx%3D%5Cfrac%7B3%7D%7B8%7D%288-h%29)
Now, we can express the area of the small rectangular strip of length x and thickness Dh as shown below:
![DA=x*Dh\\DA=\frac{3}{8}(8-h)Dh](https://tex.z-dn.net/?f=DA%3Dx%2ADh%5C%5CDA%3D%5Cfrac%7B3%7D%7B8%7D%288-h%29Dh)
Therefore, the required Riemann sum can be expressed as:
![\text{Riemann sum }=\sum \frac{3}{8}(8-h)Dh](https://tex.z-dn.net/?f=%5Ctext%7BRiemann%20sum%20%7D%3D%5Csum%20%5Cfrac%7B3%7D%7B8%7D%288-h%29Dh)
The required areas can be expressed as:
![\text{Area =}\int_{a}^{b} \frac{3}{8}(8-h)Dh](https://tex.z-dn.net/?f=%5Ctext%7BArea%20%3D%7D%5Cint_%7Ba%7D%5E%7Bb%7D%20%5Cfrac%7B3%7D%7B8%7D%288-h%29Dh)
Rest of your answers are correct. :)