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jeka94
3 years ago
6

Thomas and Kelsey are using a jump rope to model a typical wave. The wave they produce has a frequency of 4.2 hertz (Hz), an amp

litude of 2.5 meters (m), and a wavelength of 5 m. What is the velocity, in meters per second (m/s), of this wave?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0
The following expression shows the relationship between wavelength, velocity and frequency of a wave:

Wavelength [m] = Velocity [m/s] /frequency [Hz]

Making velocity the subject of the formula;

Velocity = Wavelength*Frequency = 5*4.2 = 21 m/s
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URGENT!!! pls help me
algol13

Complete Question

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10 cm, and the base has a diameter of 12 cm. The cooler has 16,956 cm³ of water in it. How many cups can be filled from the cooler?

Answer:

45 paper cups

Step-by-step explanation:

Step 1

We have to find the volume of the paper cups.

The paper cup is shaped like a cone

Hence, Volume of a cone(paper cup) = 1/3πr²h

π = 3.14

Height = 10 cm

Diameter = 12 cm

Radius = Diameter/2 = 12cm/2 = 6cm

Hence,

Volume = 1/3 × 3.14 × 6² × 10

= 376.8 cm³

Step 2

How many cups can be filled from the cooler?

The cooler contains initially = 16,956 cm³ of water

Hence, the number of cups that can be filled from the cooler is calculated as:

Volume of cooler/Volume of paper cup

= 16,956cm³/376.8 cm³

= 45 paper cups

Therefore, 45 paper cups can be filled from the cooler.

7 0
3 years ago
What is the area of a circle with a radius of 13 millimeters? (Use 3.14 for Pi.)​
pav-90 [236]

Step-by-step explanation:

Given

Radius (r) = 13 mm

Area of the circle

= πr²

= 3.14 * 13 *13

= 530.66 mm²

Hope it will help :)

5 0
3 years ago
Which pair of segments must be parallel?
A. AB and CD
B. AB and GH
C. CD and EF
D. EF and GH
NISA [10]

Answer:

G and H

Step-by-step explanation:

though with that being said i may be wrong (im not scamming like other users with random answers im being for real)

7 0
3 years ago
Read 2 more answers
What is the range of the function on the graph?
Marta_Voda [28]

Answer:

no. 4

Step-by-step explanation:

the numbers start at two and keeps going up.

3 0
3 years ago
Read 2 more answers
Niklas takes a dose of 25 micrograms of a certain supplement each day. The supplement has a half life of 4 hours, meaning that 1
MrRa [10]

Answer:

The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms.

Step-by-step explanation:

Half life is the time required for an element to decay into half of its initial size. The supplement has a half life of 4 hours means that it decay to half of its size every 4 hours. Therefore there are 6 stages of division in a day.

i.e     \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} =  \frac{1}{64}

The amount of the supplement in Niklas' body after the first dose (first day) can be determined by;

                   = \frac{1}{64} × 25

                  = 0.390625 micrograms

He used the supplement daily for 12 days (12th dose), but the amount of the supplement in his body immediately after the 12th dose would be;

                 amount in his body per day × number of period for complete decay

                   = 0.390625 × 11

                  = 4.296875

The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms. This is because immediately after the 12th dose, the supplement has not reach its half life.

3 0
3 years ago
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