A child walks due east on the deck of a ship at 3 miles perhour.
The ship is moving north at a speed of 16 miles per hour.
Find the speed and direction of the child relative to thesurface of the water.
Speed = mph
The angle of the direction from the north = (radians)

Answer:

Ms. Rangtonsmith will get $30 after raise

Step-by-step explanation:

Current salary = $25

raise = 1/5 of current salary

substituting current salary with $25

raise in dollar value = 1/5 of $25 = 1/5 *$25 = $5

Thus, raise is $5

total salary after raise will be sum of current salary and raise

total salary after raise = $25 + $5 = $30

Thus, Ms. Rangtonsmith will get $30 after raise

Answer: I2*N + 11I

Step-by-step explanation:

Let's break the sentence so it is easier to understand:

First, "the absolute value of a number N" is:

INI.

"twice a number increaced by 11"

is:

2*N + 11

Then; "the absolute value of twice a number increased by 11" is:

I2*N + 11I

10×10=100

there is 100 pencils in total

Answer:

Step-by-step explanation:

Let us denote probability of   spoilage as follows

Transformer spoilage = P( T ) ; line spoilage P ( L )

Both P ( T ∩ L ) .

Given

P( T )  = .05

P ( L ) = .08

P ( T ∩ L ) = .03

a )

For independent events

P ( T ∩ L ) =  P( T ) x  P ( L )

But  .03  ≠  .05 x .08

So they are not independent of each other .

b )

i )

Probability of line spoilage given that there is transformer spoilage

P L/ T ) = P ( T ∩ L ) / P( T )

= .03 / .05

= 3 / 5 .

ii )

Probability of transformer spoilage but not line spoilage.

P( T ) - P ( T ∩ L )

.05 - .03

= .02

iii )Probability of transformer spoilage given that there is no line spoilage

[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )

=  .02 / 1 - .08

= .02  / .92

= 1 / 49.

i v )

Neither transformer spoilage nor there is no line spoilage

= 1 - P ( T ∪ L )

1 - [  P( T ) +  P ( L ) - P ( T ∩ L ]

= 1 - ( .05 + .08 - .03 )

=  0 .9

Answer:

the answer is -4

Step-by-step explanation:

Answer:

c=29

Step-by-step explanation:

19 - 29 = -10

Answer:

  centimeter

Step-by-step explanation:

Miles is a measure of distance, so the commensurable measure will also be a distance measure.

  acres - area measure

  kilograms - mass measure

  hours - time measure

  centimeter - distance measure

Using the commensurable units concept, it is found that centimetres is commensurable with miles.

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A similar problem is given at https://brainly.com/question/17387584

• Answer:

p = 4

x = - 25

• Step-by-step explanation:

25p = 100

p = 100÷25

p = 4

35 = - 2x - 15

2x = - 35 - 15

2x = - 50

x = - 25

Answer:

1) P= 4    2) x = -25

Step-by-step explanation:

25p = 100

divide both sides by 25

p = 4

35 = -2x - 15

add 15 to both sides

50 = -2x

divide both sides by -2

x = -25

Hope this helps!

Answer:

C. (-1)(15+15+15+15)

D. (-15)+(-15)+(-15)+(-15)

Step-by-step explanation:

The original expression: 4(-15)=-60

Let's try choice A: 15+15+15+15=60(not a negative number, so does not work)

Let's try choice B: 4+4+4+4=16(nowhere near -60)no

Let's try choice C: (-1)(15+15+15+15)=(-1)(60)=-60--yes

Let's try choice D: (-15)+(-15)+(-15)+(-15)=-60--yes

Only choices C and D work.

Answer:

c and d

Step-by-step explanation:

just did it

Answer:

it is the quadratic equations to sole your questions

Answer:

Irrational

Step-by-step explanation:

It would be a irrational number because it’s a crazy decimal/pi and you can’t determine what number comes next.

Answer:

8 less than the product of 4 times 7 is....

8-4×7.

Answer:

i think b cuz it shows 8 less means minus than product of 4 × 7 so it shows the answer b

Answer:

[tex]48\sqrt{x}a^{8}[/tex]

Step-by-step explanation:

[tex]\sqrt{x}48a^{8}[/tex]

rewrite using communitive property of multiplication:

[tex]48\sqrt{x}a^{8}[/tex]

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\sqrt[48]{xa^8} \; \, \dfra\;\ \;\; \dfrac{}{} $ } }\\[/tex]

Step-by-step explanation:

[tex]\sqrt{x48a^8}[/tex]

There are no variables we will just rewrite this as:

[tex]\sqrt[48]{xa^8}[/tex]

Hope this helps!

Answer:

(x-1)²/64 + (y-2)²/144 = 1

Step-by-step explanation:

The standard equation of an ellipse is expressed as (x-h)²/a² + (y-k)²/b² = 1

Where the coordinate (h,k) is the centre of the ellipse.

a is the the difference of the x coordinates of the centre and the vertex.

b is the minor axis.

Given the centre to be (1,2), on comparing with the coordinate (h,k),

h = 1 and k = 2

The difference of the x coordinates of the centre and the vertex = -7-1 = -8

The minor axis as given in the equation is b = 12

Substituting the given parameters into the equation of an ellipse above we will have;

(x-1)²/(-8)² + (y-2)²/12² = 1

(x-1)²/64 + (y-2)²/144 = 1

The final equation gives the required standard form of the equation of the ellipse.

Answer:

3/20

Step-by-step explanation:

use slope form

-1 - -2 over -8 - -12

Answer:

$475

Step-by-step explanation:

Make an algebraic expression

Answer:

For the code we have 3 selections.

The first selection is a digit that must be odd, so the options are {1, 3, 5, 7 ,9}

So we have 5 options.

The second selection is a letter from the set of all the letters (27) minus the set of the vowels (5)

So here we have 27 - 5 = 22 options

The third selection is also a letter from the previous set, but because each letter can be used only one time, and in the previous selection we already selected one of the letters, in this selection we have a letter less than in the previous selection.

Here we have 22 - 1 = 21 options.

The total number of combinations (of possible codes) is equal to the product of the number of options for each selection:

C = 5*22*21 = 2310.

There are 2310 different possible codes

Answer:

xc + -4x

Step-by-step explanation:

The distributive property allows the multiplication of a sum by multiplying each addend separately and then sum those products.

With this in mind, let's apply the distributive property to the expression:

x (c - 4)

= x * c + x * (-4)

= xc +  -4x

Cheers.

Answer:

The answer is

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Yes, 95/-5, -95/5, -95/5 are the same.

They are all equal to -19

Answer:

Yes, 95/-5, -95/5, -95/5 are the same.

They are all equal to -19

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

3(2x - 2) = 21 + 3x

Divide each side by 3

3/3(2x - 2) = 21/3 + 3x/3

2x-2 = 7+x

Subtract x from each side

2x-2-x = 7+x-x

x-2 = 7

Add 2 to each side

x-2+2 = 7+2

x = 9

Answer:

6

Step-by-step explanation: think of it this way. When you adding a positive to a negative, you simply taking the negative away from the positive. So in this case, you are subtracting 2 from 8 to get six. Or, its the difference between the positve and the negative!! Hope this helps!

Answer:

6

Step-by-step explanation:

I hope this helps!

Answer:

-2x³ - 2y² + z⁴

Step-by-step explanation:

Step 1: Write out expression

x³ - 2y² - 3x³ + z⁴

Step 2: Combine like terms (x³)

-2x³ - 2y² + z⁴

Answer:

(0, -5) and (4, 3)

Step-by-step explanation:

I assume you're looking for the coordinates of the intersections, if any.

Solve by substitution:

x² + (2x − 5)² = 25

x² + 4x² − 20x + 25 = 25

5x² − 20x = 0

5x (x − 4) = 0

x = 0 or 4

So the coordinates are (0, -5) and (4, 3).

Answer:

b- 6

c- 72 square root 2

Step-by-step explanation:

Answer:

100 ft sq.

Step-by-step explanation:

A square means all sides are equal.

Area = bxh

10 ft x 10 ft = 100 ft sq.

Answer:

The area is 100 ft^2

Step-by-step explanation:

A square has 4 equal sides so if one side is ten then all of the sides are 10

Answer:

infinite solutions, true for all y

Step-by-step explanation:

6y+8=6(y+4)−16

Distribute

6y+8 = 6y+ 24 - 16

Combine like terms

6y+8 = 6y+8

Subtract 6y from each side

8=8

Since this is always true, the equation is true for all real y

Answer:

True of all values of 'y'.

Step-by-step explanation:

[tex]6y+8=6(y+4)-16\\\\6y+8=6y+24-16\\\\6y+8=6y+8\\\\6y+8-8=6y+8-8\\\\6y=6y\\\\6y-6y=6y-6y\\\\\boxed{0=0}[/tex]

Hope this helps.

Answer:

The scale factor is 1/48

Step-by-step explanation:

First, we need to convert 60 feet to inches.

60 feet = 720 inches

Then, we divide 720 by 15

720/15= 48.

The scale factor is 1/48.

The scale factor of dilation is given by the proportion and A = 48

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

We can use the ratio of the lengths of the corresponding sides to find the scale factor or dilation factor used by the architect.

Let A be the factor of dilation used by the architect. Then we can set up the following proportion:

60 feet / A = 15 inches / 1

We can solve for x by cross-multiplying:

60 feet x 1 = A x 15 inches

A = (60 feet) / (15 inches)

We need to convert feet to inches to get the units to match:

A = (60 feet) / (15 inches) x (12 inches / 1 foot)

Simplifying, we get:

A = 720 / 15

A = 48

Hence , the architect used a scale factor of 48 when creating the scale drawing of the house

To learn more about proportion click :

https://brainly.com/question/7096655

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Answer:

Net gain = 12 years(point)

Step-by-step explanation:

The Lions football team gained 20 yards after having lost 8 yearson the previous play.

Years(point) gained= 20

Years(point) loss= 8

The net gain for the two plays

Net gain = gain - loss

Net gain = 20-8

Net gain = 12 years(point)