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2 years ago

15

Sally consumed 2.5 gallons of water in one day. How many milliliters are equal to 2.5 gallons, if 1 liter = 1,000 milliliters an

d 1 gallon = 3.785 liters?

1 answer:

kozerog [31]2 years ago

6 0

The answer is 9462.5ml.

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Solve sint = cos2t, for –4π ≤ t ≤ –2π

e-lub [12.9K]

Answer:

-(23/6)π

-(19/6)π

-3π

Step-by-step explanation:

cos2t=cos^2t-sin^2t => cos^2t=1-sin^2t =>cos2t=1-2sin^2t

sint=1-2sin^2t, if x=sint, thenn we have 2x^2+x-1=0

Here x=0.5, x=-1, as x=sint => sint = -1 solutions for -4π to -2π is t=-3π,

sint = 0.5 solutions for -4π to -2π is t= -(23/6)*π, and t = -(19/6)*π

3 0

3 years ago

WILL AWARD BRAINLIEST

MAVERICK [17]

Answer:

ΔABC ~ ΔDEC

Step-by-step explanation:

Given : DE║AB

Statements Reasons

1). DE║AB 1). Given

2). ∠CDE ≅ ∠CAB 2). Corresponding angles

[Since DE║AB and AC is the transverse]

3). ∠CED ≅ ∠CBA 3). Corresponding angles

[Since DE║AB and BC is the transverse]

4). ΔABC ~ ΔDEC 4). By AA property of similarity

Hence ΔABC is similar to ΔDEC.

6 0

3 years ago

What’s the simplified expression?

Katyanochek1 [597]

Answer:

$(-3/4)^{10}$

Step-by-step explanation:

using the rule of exponents

• $(a^m)^{n}$ = $a^{mn}$

$((-3/4)^5)^{2}$ = $(-3/4)^{10}$

7 0

3 years ago

When a gas is kept at a constant temperature and pressure on it changes, its volume changes according to the following formula,

astra-53 [7]

Answer: Approximately 1.9 atm

============================================

Work Shown:

$P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\$

If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.

Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.

-----------

As a check,

$P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\$

We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.

A more accurate check could be

$P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\$

which has the two sides much closer to one another. This helps us verify the answer.

5 0

3 years ago

Which is not equal to the absolute value of -8

nikitadnepr [17]

Anything but the number 8

4 0

3 years ago