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3 years ago

Carter can bake 11 cookies with each scoop of flour. With 4 scoops of flour, how many cookies can Carter bake?

Mathematics

2 answers:

VMariaS [17]3 years ago

5 0

Answer:

Step-by-step explanation: 11 coookies per cup of flour. 4 cups of flour. 11 x 4 = 41

jok3333 [9.3K]3 years ago

4 0

Answer:

44 cookies

Step-by-step explanation:

1 scoop = 11 cookies

11 cookies * 4 scoops = 44 cookies

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Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4

arsen [322]

we are given

$R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k$

now, we can find x , y and z components

$x=cos(8t),y=sin(8t),z=8ln(cos(t))$

Arc length calculation:

we can use formula

$L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt$

$x'=-8sin(8t),y=8cos(8t),z=-8tan(t)$

now, we can plug these values

$L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt$

now, we can simplify it

$L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8sec(t) dt$

now, we can solve integral

$\int \:8\sec \left(t\right)dt$

$=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|$

now, we can plug bounds

and we get

$=8\ln \left(\sqrt{2}+1\right)-0$

so,

$L=8\ln \left(1+\sqrt{2}\right)$ ..............Answer

5 0

3 years ago

PLz answer before 11:59 pm

Tpy6a [65]

Answer:

SA = 2520 ft^2

Step-by-step explanation:

a = 21ft

b = 29ft

c = 20ft

h = 30ft

SA = 2 $A_{B}$ + (a+b+c)h

$A_{B}$ = s(s﹣a)(s﹣b)(s﹣c)

s = $\frac{a + b + c}{2}$

SA= ah + bh + ch + $\frac{1}{2}$ $\sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c4}$

SA= (21 * 30) + (29 * 30) + (20 * 30) +

$\frac{1}{2}$ $\sqrt{-(21)^4 + 2(21 * 29)^2 + 2(21 * 20)^2 - (29)^4 + 2(29 * 20)^2 - (20)^4}$

SA = 2520 ft^2

6 0

3 years ago

Carter can bake 11 cookies with each scoop of flour. With 4 scoops of flour, how many cookies can Carter bake?​

Carter can bake 11 cookies with each scoop of flour. With 4 scoops of flour, how many cookies can Carter bake?