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Serhud [2]
3 years ago
10

What is the coefficient of the term of degree 4 in this polynomial? x^8+2x^4 - 4x^3 + x^2-1

Mathematics
1 answer:
never [62]3 years ago
5 0

Answer:

2

Step-by-step explanation:

the coefficient is the number that multiply the letter

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105.6 L/h = ___ L/min?
Drupady [299]
(\frac{105.6\ L}{hour})(\frac{1\ hour}{60\ minutes})

The hours cancel out and you divide 105.6 by 60 to get 

1.76 L/min
5 0
3 years ago
What is 2/1 divided by 1 6/7?
Lubov Fominskaja [6]
<span>What is 2/1 divided by 1 6/7?
</span>answer would be 0.9
6 0
3 years ago
Which statements about finding the area of the equilateral triangle are true? Check all that apply.
lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

b=\frac{BC}{2}=\frac{8.7}{2}=4.35

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

OC^2=OD^2+DC^2

5^2=a^2+(4.35)^2

25=a^2+18.9225

a=\pm 2.46526

a\approx\pm 2.5

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

tan(30^{\circ})=\frac{a}{b}

\frac{1}{\sqrt{3}=\frac{a}{4.35}

a\approx\pm 2.5

Therefore option 2 is correct.

The perimeter of an equality triangle is

P=3a=3(8.7)=26.1

Option 3 is incorrect.

A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

3 0
3 years ago
Read 2 more answers
18. A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45, what is the 99% confidenc
Agata [3.3K]

Given:

Sample mean = 65.4

Standard deviation = 1.2

Sample size = 45

Confidence level = 99%

To find:

The confidence interval.

Solution:

The formula for confidence interval is

CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}

where, \overline{x} is sample mean, z* is confidence value, s is standard deviation and n is sample size.

Confidence value or z-value at 99% = 2.58

Putting the given in the above formula, we get

CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}

CI=65.4\pm 0.46

CI=65.4-0.46\text{ and }CI=65.4+0.46

CI=64.94\text{ and }65.86

Therefore, the correct option is D.

5 0
3 years ago
Opal wanted to make some necklaces and sell them at a craft store. She made 37 necklaces and each necklace had somewhere between
alexandr402 [8]
<h3>The total number of beads used in making 37 necklaces is between 2,664 beads and 2,849 beads.</h3>

Step-by-step explanation:

Here, as given: The number of necklace made by Opal  = 37

The least number of bead used in each necklace  = 72

So, if each necklace is made using the least number of beads then,

The total number of beads  used in 37 necklace =  37 x ( beads in 1 necklace)

= 37 x  72  = 2,664 beads

So, the least number of total beads used in 37 necklaces  = 2,664 beads

The highest number of bead used in each necklace  = 77

So, if each necklace is made using the highest number of beads then,

The total number of beads  used in 37 necklace =  37 x ( beads in 1 necklace)

= 37 x  77  = 2,849 beads

So, if highest number of total beads used in 37 necklaces  = 2,849 beads

Hence, the total number of beads used in making 37 necklaces is between 2,664 beads and 2,849 beads.

5 0
3 years ago
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