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kow [346]
3 years ago
8

L Pretest Unit 2

Mathematics
1 answer:
Art [367]3 years ago
6 0

Answer:

Option (c) is correct.

Step-by-step explanation:

The edge length of a cube is 5 cm.

We need to find the volume of the cube.

The formula for the volume of a cube is given by :

V=a^3

Put a = 5 cm in above formula

V=(5)^3\\\\=125\ cm^3

Hence, cubic centimeters is the appropriate unit for measuring the volume of a cube.

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Which of the f -values satisfy the following inequality?
pickupchik [31]
The answer would be 4.
3 0
3 years ago
If you place a cup of 210 degree Fahrenheit coffee on a table in a room that is 68 degrees fareinheit, and ten minutes later, it
Lana71 [14]
Newton's Law of Cooling

Tf=Ts+(Ti-Ts)e^(-kt)   where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid.  So we need to find k first.

200=68+(210-68)e^(-10k)

132=142e^(-10k)

132/142=e^(-10k)

ln(132/142)=-10k

k=-ln(132/142)/10

k≈0.0073  so 

T(t)=68+142e^(-0.0073t)  so how long until it reaches 180°?

180=68+142e^(-0.0073t)

112=142e^(-0.0073t)

112/142=e^(-0.0073t)

ln(112/142)=-0.0073t

t= -ln(112/142)/(0.0073)

t≈32.51 minutes


8 0
3 years ago
What are the coordinates of the point on the directed line segment from (-6, -3) to
melamori03 [73]

Given:

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.

To find:

The coordinates of that point.

Solution:

Section formula: If point divides a line segment in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get

Point=\left(\dfrac{6(5)+5(-6)}{6+5},\dfrac{6(8)+5(-3)}{6+5}\right)

Point=\left(\dfrac{30-30}{11},\dfrac{48-15}{11}\right)

Point=\left(\dfrac{0}{11},\dfrac{33}{11}\right)

Point=\left(0,3\right)

Therefore, the coordinates of the required point are (0,3).

3 0
3 years ago
These are the round-trip distances that city buses traveled on different routes each month. Calculate the distance, in miles, th
prohojiy [21]
I think you have to use the distance formula
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3 years ago
What is a-5/6= -3 2/3 + 5/6
valentinak56 [21]

Answer:

A=-2

Step-by-step explanation:

iekdkdkdkdkdkdkdkdkkdd

3 0
3 years ago
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