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

Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) f

aksik [14]

the second duckling is wandering by 2.6 units distance than the first duckling .

<u>Step-by-step explanation:</u>

Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:

Let a = (12,5) and b =(13,-8)

The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :

⇒ $D = |b|-|a|$

⇒ $D = \sqrt{13^2+(-8)^2} -\sqrt{12^2+5^2}$

⇒ $D = \sqrt{233} -\sqrt{169}$

⇒ $D =15.26 -13$

⇒ $D =2.6$

Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .

4 0

3 years ago

(07.06 LC)

Papessa [141]

It would be the first option

8 0

3 years ago

Read 2 more answers

IF CORRECT ILL MARK U BRAINLIEST❤️

natulia [17]

Answer:

Step-by-step explanation:

y/x = 12/4 = 3

5 0

2 years ago

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The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot

Stells [14]

Answer:

$z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00$

Now we can calculate the p value. Since is a bilateral test the p value would be:

$p_v= P(Z>2) =0.0228$

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

$\hat p=0.75$ estimated proportion of residents favored annexation

$p_o=0.72$ is the value that we want to test

represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:

Null hypothesis: $p\leq 0.72$

Alternative hypothesis: $p > 0.72$

The statistic for this case is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the data given we got:

$z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00$

Now we can calculate the p value. Since is a bilateral test the p value would be:

$p_v= P(Z>2) =0.0228$

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

3 0

2 years ago

The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle is the perimeter of the re

n200080 [17]

Part A:

Let the width of the rectangle be = x inches

As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches

Perimeter is given as = 54 inches

Perimeter = $2(l+b)$