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3 years ago

6

Every time Liliana bakes a batch of brownies, she uses 34 cup of chocolate. If she has 128 cup(s) of chocolate remaining, how ma

ny batches of brownies can Liliana make? Input your answer as a whole number.

2 answers:

Nostrana [21]3 years ago

7 0

3
I had this on my test

pogonyaev3 years ago

6 0

Answer:

3

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Use differentials to approximate the change in the volume of a cube when the side is decreased from 8 to 7.99 cm. (in cm3)

Firlakuza [10]

Answer:

-1.92 cm³

Step-by-step explanation:

The formula for the volume of a cube in terms of side length is ...

V = s³

Then the first-order approximation of volume for a small change ∆s in side length is ...

V(s +∆s) ≈ V(s) + V'(s)·∆s

and the change in volume is ...

∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s

The derivative V'(s) is ...

V'(s) = 3s²

so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...

∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³

4 0

3 years ago

Two children, Ferdinand and Isabella, are playing with a water hose on a sunny summer day. Isabella is holding the hose in her h

wolverine [178]

Answer:

f = 0.84 or 84%

Step-by-step explanation:

Given:

- Original constant velocity of water v_o = 3.5 m/s

- The original diameter of the hose opening d_o = 1.5 cm

- The total vertical distance y(f) = 1.0 m

- The total range x(f) = 10.0 m

Find:

What fraction of the original area does Isabella has to reduce or pinch so the water can cover the entire range.

Solution:

- We will assume the flow of water as a stream of particles that follow a path of single point.

- Using second kinematic equation in the vertical direction and compute the time it takes the water to reach the ground:

y(t) = y(0) + v_y*t + 0.5*gt^2

Where, y(0) = v_y = 0,

1.0 = 0.5*g*t^2

t = sqrt ( 2*1 / 9.81 )

t = 0.4515 s

- Now we will use the second equation of motion for the x- direction motion:

x(t) = x(0) + v_x*t

Where, x(0) = 0,

10 = 0 + v_x*(0.4515)

v_x = 10 / 0.4515 = 22.1 m/s

- We have calculated the minimum velocity required to reach the range from isabella and ferdinand.

- We will use the continuity equation to compute the area required for the velocity calculated v_x = 22.1 m/s:

A_f*v_x = A_o*v_o

A_f = A_o*v_o / v_x

A_f = pi*0.015^2*3.5 / 4*22.1

A_f = 1.12 * 10^-4 m^2

- The fraction f of the reduction of area is:

f = (A_o - A_f) / A_o

f = (7.068*10^-8 - 1.12*10^-4) / (7.068*10^-8)

f = 0.84 or 84%

4 0

3 years ago

Ху<br> 4 32<br> 5 40<br> 756<br> 972<br> ОА. В<br> ОВ. 4<br> Ос. 32<br> OD. 8

dsp73

Answer:

8

Step-by-step explanation:

mark me as brainliest ppls :)

5 0

3 years ago

Two angles are supplementary. The measure of one angle is 4 times the measure of the other angle. What is the measure of the sma

Alexus [3.1K]

ANSWER

The smaller angle is

$y = 36 \degree$

.EXPLANATION

Let the angles be
$x \: and \: \: y$

where y is the smaller angle.
Since they are supplementary, they will add up to 180°.

This implies that,

$x + y = 180 \degree...(1)$

If one angle is 4 times the other, we can then write the following equation,

$x = 4y...(2)$

We put equation (2) into equation (1) to get,

$4y + y = 180 \degree$

$5y = 180 \degree$

We divide through by 5 to obtain,

$y = 36 \degree$

This implies that,

$x = 4(36)$

$x = 144 \degree$

3 0

3 years ago

Round the decimal to the nearest hundredths 983.625

r-ruslan [8.4K]

983.625
9 = hundreds
8 = tens
3 = ones
6 = tenths
2 = hundredths
5 = thousandths
You want to round to the nearest hundredths
Look at the number on the right, if it's bigger than 5, round up, if it's 4 or lower, round down.
In this case, the number to the right is a 5, so you round the 2 (hundredths) up one so:
<span>983.63</span>

5 0

3 years ago