Resources

Resources

Find the magnitude and direction of a vector sum

Relative to a point

O

, the position vector of a ship is

(12 i+16 j) \mathrm{km}

. If the ship sails with a constant speed of

24 \mathrm{~km} / \mathrm{h}

on a bearing of

060^{\circ}

, find its position vector after

4

hours. Give your answer correct to

3

significant figures.

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution.

\newline

H_{0}: \mu=9

H_{a}: \mu \neq 9

when the sample has

n=80, \bar{x}=11.2

s=0.88

S E=0.10

\newline

Find the value of the standardized

z

-test statistic

\newline

Round your answer to two decimal places.

\newline

z=

R

be the area enclosed by the function

f(x)=x^{\frac{1}{3}}

g(x)=\frac{1}{2}x

. Find the volume of the solid generated when the region

R

is revolved about the line

y=4

. You may use a calculator and round to the nearest thousandth.

One diagonal of a rhombus is decreasing at a rate of

7

centimeters per minute and the other diagonal of the rhombus is increasing at a rate of

10

centimeters per minute.

\newline

At a certain instant, the decreasing diagonal is

4

centimeters and the increasing diagonal is

6

\newline

What is the rate of change of the area of the rhombus at that instant (in square centimeters per minute)?

\newline

1

\newline

-1

\newline

-16

\newline

\mathbf{1 6}

\newline

1

\newline

The area of a rhombus with diagonals

d_{1}

d_{2}

\frac{d_{1} d_{2}}{2}

12

: Attributes of Rational Functions Test_A

\newline

Name: EveVentura period:

\qquad

\newline

1

3

pts. each attribute

\newline

Horizontal asymptote:

\newline

Vertical Asymptote:

\newline

\underline{x}

\newline

y

\newline

\newline

9

. Three forces in a plane act on an object. The forces are

70

115

135

70

pound force is exerted along the positive

x

115

pound force is applied below the

x

120

o angle with the

70

pound force. The angle between the

115

135

-pound forces is

759

, and between the

135

70

-pound forces is

165^{\circ}

. Are the vectors in equilibrium? If not, find the magnitude and the direction of the resultant force.

9

. Three forces in a plane act on an object. The forces are

70

115

135

70

pound force is exerted along the positive

x

115

pound force is applied below the

x

120

o angle with the

70

pound force. The angle between the

115

135

-pound forces is

75

, and between the

135

70

-pound forces is

165 \%

. Are the vectors in equilibrium? If not, find the magnitude and the direction of the resultant force.

12

\newline

7

l_{l}

, which is parallel to the vector

2 \mathbf{i}-\mathbf{j}+2 \mathbf{k}

, passes through the point

A

whose position vector is

4 \mathbf{i}+6 \mathbf{j}-8 \mathbf{k}

l_{2}

, which is parallel to the vector

\mathbf{i}+7 \mathbf{j}-2 \mathbf{k}

, passes through the point

B

whose position vector is

-6 \mathbf{i}+26 \mathbf{j}+12 \mathbf{k}

P

l_{1}

2 \mathbf{i}-\mathbf{j}+2 \mathbf{k}

0

l_{2}

2 \mathbf{i}-\mathbf{j}+2 \mathbf{k}

2

is perpendicular to both

l_{1}

l_{2}

2 \mathbf{i}-\mathbf{j}+2 \mathbf{k}

5

on the line segment

2 \mathbf{i}-\mathbf{j}+2 \mathbf{k}

2

2 \mathbf{i}-\mathbf{j}+2 \mathbf{k}

7

\newline

(a) Find the position vectors of

P

2 \mathbf{i}-\mathbf{j}+2 \mathbf{k}

0

\newline

8

329-2094

\newline

Releach io Build

\newline

\newline

\newline

15-1

\newline

an exact tocation in space. A line is a straight path of points that go on and on in opposite directions. A line segment is a part of a line with two endpoints. A ray is a part of a line that has one endpoint and continues on forever in one direction. Label each figure with the correct term.

\newline

\dot{G}

\newline

2

. Angles can be classified by their measures. A right angle forms a square comer. An acute angle is open less than a right angle. An obtuse angle is open more than a right angle but is open less than a straight angle. A straight angle forms a straight line. Identify each type of angle.

\newline

3

. Use a geometric term to describe and name each figure.

\newline

Be as specific as possible.

\newline

The figure at the right is a

\newline

Name the figure using the points that are labeled.

\newline

4

. The figure at the right is an angle.

\newline

Name the angle with the points from each ray and the shared

\newline

\newline

endpoint of the rays. The shared endpoint is the center letter.

\newline

\newline

5

. Usea geometric term to describe each figure. Be as specific as possible.

Find the circumference and the area of a circle with radius

4\,\text{yd}

\newline

3.14

\pi

, and do not round your answers. Be sure to include the correct units in your answers.

\newline

\newline

Find the circumference and the area of a circle with radius

4 \mathrm{yd}

\newline

3

14

\pi

, and do not round your answers. Be sure to include the correct units in your answers.

\newline

\newline

The distance from the bob of the pendulum to the wall varies in a periodic way that can be modeled by a trigonometric function. The modeling function has period

0.8

seconds, amplitude

6\,\text{cm}

H=15\,\text{cm}

t=0.2

, the bob is at its midline, moving towards the wall. Find the formula of the trigonometric function that models the distance

H

between the bob and the wall after

t

seconds. Define the function using radians.

\newline

H(t)=-\left(\frac{\pi}{2}\right)+1

\newline

What is the distance from the pendulum to the wall after

0.5

seconds? Round your answer, if necessary, to two decimal places.

Directions: Type your answer in the box.

\newline

What is the volume of a square-based pyramid with base side length of

8

inches and a height of

12

inches? Write your answer in the box provided.

\newline

\left\lceil\operatorname{in}^{3}\right.

For the following set of data, find the sample standard deviation, to the nearest hundredth.

\newline

146,147,144,117,105,105,89

\newline

\newline

d Quarter Standards

\newline

(Grade Repair) Assignment

\newline

7

11.00 \mathrm{PM}

\newline

\newline

Ing the Mean and Median

\newline

tulate Measure of Dispersion

\newline

mal Distribution - Find Z Score

\newline

mal Distribution - Empirical Rule

\newline

rmal Distribution - Find Area

\newline

rmal Distribution w/ Population Size

\newline

Calculate Measure of Dispersion

\newline

4 / 5

\newline

\newline

\newline

\newline

For the following set of data, find the sample standard deviation, to the nearest hundredth.

\newline

146,147,144,117,105,105,89

\newline

Copy Values for Calculator

\newline

Open Statistics Calculator

\newline

Answer Atrept not of

20

\newline