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3 years ago

What is the degree of x^4-3x^2+7x^5

Mathematics

1 answer:

Julli [10]3 years ago

4 0

The degree of the polynomial is 4, as the highest exponent of this expression is 4.

Thanking You.

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Classify the following triangle based on its angle measures.

gavmur [86]

Answer:

D.) Right

Explanation:

A.) An obtuse triangle is where one of the internal angles is obtuse (greater than 90 degrees).

B.) An acute triangle is a triangle with three acute angles (less than 90°).

C.) A right triangle is where one of its interior angles is a right angle (90 degrees).

D.) An equiangular triangle is a triangle where all three interior angles are equal in measure.

4 0

2 years ago

A triangle has integer length sides. If two sides of the triangle are 16 and 21, how many possible lengths are there for the thi

r-ruslan [8.4K]

There are 31 possible lengths for the third side.

Unknown Side + 16 > 21

Unknown Side > 5

16 + 21 > Unknown Side

37 > Unknown Side

Unknown Side < 37

So, the possible integer lengths range from

6 - 36

= 36 - 6 + 1

= 31 possible lengths

The length of the third side of a triangle has to continually be among (but not equal to) the sum and the distinction among the alternative facets. As an instance, take the example of two, 6, and seven. and consequently, the 0.33 facet length has to be extra than four and less than eight.

The regulation of Cosines to calculate the unknown aspect, then use the Law of Sines to find the smaller of the opposite angles and then use the 3 angles add to 180° to find the final attitude.

Learn more about triangles here brainly.com/question/2437195

#SPJ4

8 0

2 years ago

Could someone help me please

astraxan [27]

A: tracy's family has greater valiablity because put the number in order

6 0

3 years ago

X²-7=0 extracting square roots

Irina-Kira [14]

Answer:

x = ± $\sqrt{7}$

Step-by-step explanation:

Given

x² - 7 = 0 ( add 7 to both sides )

x² = 7 ( take the square root of both sides )

x = ± $\sqrt{7}$

4 0

2 years ago

A researcher conducted an experiment to investigate the effectiveness of a medicated lotion in treating a skin irritation. A gro

Helga [31]

Answer:

It can be concluded that the medicated lotion has an effect on treating skin irritations.

Step-by-step explanation:

In this case we need to determine whether the medicated lotion was effective in treating the skin irritation or not.

The hypothesis can be defined as follows:

H₀: There is no difference between the two proportions, i.e. p₁ - p₂ = 0.

Hₐ: There is a significant difference between the two proportions, i.e. p₁ - p₂ ≠ 0.

The information provided is:

n₁ = 40

n₂ = 40

X₁ = 36

X₂ = 16

Compute the sample proportions and total proportions as follows:

$\hat p_{1}=\frac{36}{40}=0.90\\\\\hat p_{2}=\frac{16}{40}=0.40\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{36+16}{40+40}=0.65$

Compute the test statistic value as follows:

$z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}=\frac{0.90-0.40}{\sqrt{0.65(1-0.65)[\frac{1}{40}+\frac{1}{40}]}}=4.69$

The test statistic value is 4.69.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=2\times P(Z$

The p-value of the test is very small.

The null hypothesis will be rejected at any significance level.

Thus, there is a significant difference between the two proportions.

So, it can be concluded that the medicated lotion has an effect on treating skin irritations.

6 0

3 years ago