There were 16 bald eagles in an area some years later there were 28 bald eagle‘s in the area what is the percent game

Kapil's robot starts 70cm from its charging base. It faces the base, then turns 60 degrees clockwise, as shown. Finally, the rob

Semmy [17]

The distance of the robot from the charging base is gotten as; 62 cm

<h3>How to use Cosine Rule?</h3>

From the image attached showing the movement of Kapil's robot, we can use cosine rule to find the value of h which is the distance of the robot from the charging base.

The distance of the robot from the charging base is gotten by;

h = x² + b² - 2xb cos 60

h = 50² + 70² - 2*50*70 * 0.5

h = 62 cm

Read more about Cosine Rule at; brainly.com/question/4372174

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4 0

1 year ago

(5,12)and (2,6) rate of change?<br> Initial value?<br> HURRY i NEED this done.

Otrada [13]

Answer:

Part 1) The rate of change is $2$

Part 2) The initial value is $2$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or rate of change

b is the y-intercept or initial value

step 1

Find the slope or rate of change

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(5,12)and (2,6)

substitute the values in the formula

$m=\frac{6-12}{2-5}$

$m=\frac{-6}{-3}$

$m=2$

therefore

The rate of change is $2$

step 2

Find the initial value

we have

$m=2$

$point\ (2,6)$

substitute in the equation $y=mx+b$

$6=2(2)+b$

solve for b

$6=4+b$

$b=2$ ---> initial value

The linear equation is equal to

$y=2x+2$

The y-intercept or initial value is 2

8 0

2 years ago

In ΔPQR, m∠P = (3x+16) ,m∠Q=(4x-15),m∠R(2x+8) What is the value of x?

noname [10]

Answer:

x = 19

Step-by-step explanation:

Assuming all angle measures are in degrees, the sum of them is 180:

(3x +16) +(4x -15) +(2x +8) = 180

9x +9 = 180 . . . . collect terms

x + 1 = 20 . . . . . . divide by 9

x = 19 . . . . . . . . . .subtract 1

The value of x is 19.

3 0

3 years ago

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=

DiKsa [7]

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

5 0

2 years ago

HELP PLEASE!!!!!!!!!!!!!!!!!!

Doss [256]

I can not see the answer or the question

6 0

2 years ago