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3 years ago

The prime factors of a composite number must be less than a square root of the composite number. True or False?

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

7 0

Answer: It depends on what you're asking. If it can be equal, then yes. If it must be less, then no.

Step-by-step explanation:

Every composite number has a square root equal or less than its square root.

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Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)

Contact [7]

cosU:-

$\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25$

As U lies in Q3

cosU=-24/25

sinV

$\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4$

As V lies in Q3

sinV=-3/5

sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=44/125
cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125

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2 years ago

An artist spends a total of $150 on the supplies needed to create the paintings, p, and drawings, d, he plans to sell. Choose th

Llana [10]

Answer:

The answer is both (A) and (B)

3 0

3 years ago

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kherson [118]

The second answer is D) it will increase 8 times

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3 years ago

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How many of each type of box is it carrying?

CaHeK987 [17]

Answer:

Number of large boxes: 55

Number of small boxes:65

Step-by-step explanation:

Let be "l" the number of large boxes and "s" the number of small boxes.

Set up a system of equations:

$\left \{ {{l+s=120} \atop {60l+30s=5250}} \right.$

Use the methof of elimination. Mulitply the first equation by -60 and add both equations. Then solve for "s":

$\left \{ {{-60l-60s=-7200} \atop {60l+30s=5250}} \right.\\.........................\\-30s=-1950\\s=65$

Substitute s=65 into any of the original equations and solve for "l":

$l+65=120\\l=55$

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3 years ago

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Angelina_Jolie [31]

Answer:

B) Median

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D) The mean test score will increase by 2.

Step-by-step explanation:

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3 years ago