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marishachu [46]
3 years ago
8

A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to

flour and milk to oil. Which correctly compares the ratios? StartFraction 3 Over 7 EndFraction greater-than StartFraction 2 Over 1 EndFraction StartFraction 2 Over 7 EndFraction less-than StartFraction 3 Over 1 EndFraction StartFraction 7 Over 1 EndFraction less-than two-thirds
Mathematics
2 answers:
Rashid [163]3 years ago
7 0

Answer:

milk to oil - correctly shows ratio 3:1

makkiz [27]3 years ago
5 0

Answer:

B 2/7 <3/1

Step-by-step explanation:

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Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,
torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

y=6x^2+14x

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

\frac{dy}{dx}=12x+14

We know that length of curve

s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx

We have a=-2 and b=1

Using the formula

Length of curve=s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

dt=12dx

dx=\frac{1}{12}dt

Length of curve=s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt

We know that

\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C

By using the formula

Length of curve=s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})

Length of curve=s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})

Length of curve=s=32.66

5 0
3 years ago
PLEASE HELPP MEEEEE
pav-90 [236]
The smallest region that can be photographed is
5*7 = 35 square km
so we want to know how long it takes to zoom out to an area of
35 * 5 = 175 square km.

Notice that the length and width increase at the same rate, 2 km/sec, and they start out with a difference of two, so when the width has increased from 5 to x, the length will have increased from 7 to x+2. At the desired coverage area, then,
x(x+2) = 175
x^2 + 2x = 175
x^2 + 2x + 1 = 176 [completing the square]
(x+1)^2 = 176
x+1 = ±4√11
x = -1 ±4√11

Since a negative value for x is meaningless here, x must be
-1 + 4√11 = about 12.27 km
and the time it took to increast to that value was
(12.27 - 5) km / (2 km/sec) = about 3.63 seconds
6 0
3 years ago
PLEASE HELP <br> WILL GIVE BRAINLIEST AND 5.0 RATING
jasenka [17]

Answer:

<h2>(-4,-2)</h2>

Step-by-step explanation:

(-4,-5)

move up 3 units

change in y-axis

-5+3=-2

(-4,-2)

4 0
2 years ago
Is y=6/x-2 linear or nonlinear
zhannawk [14.2K]

Answer:

Non linear. It is a curve not a line.

8 0
2 years ago
Read 2 more answers
What fractions are greater than 11/20<br><br> a- 3/4<br> b - 3/10<br> c - 4/5<br> d - 1/2
SOVA2 [1]

Answer:

3/4  and  4/5

I hope this helps :)

4 0
3 years ago
Read 2 more answers
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