6.48 x 10 5
-------------------------
(2.4 x 10 4) (1.8 x 10 -2)

Answer:

Step-by-step explanation:

Answer:

======================

A) Actual velocity is found as the sum of two vectors representing the two velocities.

Since the directions are at 90° (N and E), we will use Pythagorean to find the actual velocity.

b) Let the direction the ship sails in is x. Use trigonometry to find the angle from the North:

The value of a is 2.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment FG, where the length of line segment FG refers to the distance between its endpoints, F and G.

Given that M is the midpoint of FG

FG = 14a + 1 and  FM = 14.5

FG = FM + MG

Since M is the midpoint of FG, So FM = MG

FG = FM + FM

FG = 2FM

Substitute the values of FG = 14a + 1 and  FM = 14.5,

14a + 1 = 2(14.5)

14a + 1 = 29

14a = 28

a = 28/14

a = 2

Therefore, the value of a is 2.

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Your question was incomplete. Please refer the content below:

Suppose M is the midpoint of FG. Find the missing measure.

FG = 14a + 1. FM = 14.5

Answer A=?

Answer:

47

Step-by-step explanation:

22+25=47

Hope this helps.

Answer:

Step-by-step explanation:

If the box has 22 white and 25 black, you would add 22 and 25 to find the total amount

22+25= 47

There are 47 balls in the box

Hope this helps! ^^

Answer:

¬p ∨ ¬q

Step-by-step explanation:

Since p → q is equivalent to ¬p ∨ q, just invert q

Using DeMorgans theorem, you could also write it as ¬(p ∧ q)

The perimeter of the right angled triangle is 24 units.

The perimeter is defined as the sum of all sides of a polygon. To calculate the perimeter of a triangle we add the length of all the 3 sides of the triangle.

The given side lengths are 6 and 8 units.

We know from Pythagorean theorem that for a right angled triangle the sum of the squares of the legs is equal to the square of the hypotenuse of the triangle.

Hypotenuse is the longest side in a right angled triangle.

Therefore the hypotenuse in this triangle is given by:

Hypotenuse² = 6² + 8²

or, hypotenuse = √(36 + 48) units

or, hypotenuse =√100

or, hypotenuse= 10 units

Now perimeter = (6 + 8 + 10) units = 24 units.

Hence the perimeter of the given right angled triangle is 24 units.

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Answer: y = 1.2

Step-by-step explanation:

1.5(3y+2) - y = 2(8y-6)

4.5y + 3 - y = 16y - 12

3.5y + 3 = 16y - 12

-3. -3

3.5y = 16y - 15

-16y. -16y

-12.5y = -15

—— —— <—fraction symbol to divide

-12.5. = -12.5

y. =. 1.2

Answer:

5y=6

Step-by-step explanation:

4.5y+3-y=2(8y-6

16y-12

3.5y+3-16y=-12

12-3

-12.5y=-12-3=15

-125y=--150

Answer:

[tex](x + 21)(3x + 9) \\ x(3x + 9) + 21(3x + 9) \\ 3 {x}^{2} + 9x + 63x + 189 \\ 3 {x}^{2} + 72x + 189[/tex]

Account Y would earn Monica about $62.70 more interest than account X.

Given Monica deposits $3000.

Bank offers two different savings accounts.

Account X pays 2.1% simple annual interest and Account Y pays 2.4% compounded annually, both for 5 years.

For account X, we have:

Principal (P) = $3000

time (t) = 5 years

rate of interest (r) = 2.1%

we need to calculate simple interest:

Simple interest = P×t×r/100

= 3000c5×2.1/100

= $315

simple interest for 5 years is $315

For account Y, we have:

Principal (P) = $3000

time (t) = 5 years

rate of interest (r) = 2.4%

we need to calculate Compound interest:

compound interest = P×(1₊rate)^time ₋ P

= 3000(1₊2.4/100)⁵ ₋ 3000

= 3000(1.024)⁵ ₋ 3000

= 3000(1.12589907) ₋ 3000

= 3377.69 ₋ 3000

= $377.69

The compound interest for 5 years is $377.7

compound interest of account Y ₋ simple interest of account X

= 377.7 ₋ 315

= $62.70

hence the right option is that account Y would earn Monica about $62.70 more interest than account X.

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Your question is incomplete.Please find the missing content below.

Monica wants to open a savings account with a deposit of $3000. Monica will not make any additional deposits or withdrawals after she opens the account. Her bank offers two different savings accounts. Account X pays 2.1% simple annual interest. Account Y pays 2.4% interest compounded annually. Which statement about these accounts at the end of 5 years is true?

Account X would earn Monica about $62.70 more interest than Account Y.

Account Y would earn Monica about $62.70 more interest than Account X.

Account X would earn Monica about $45.00 more interest than Account Y.

Account Y would earn Monica about $45.00 more interest than Account X.

Answer:

Volume = 9424.78 cubic centimeters

Capacity = 9.425 liters

Step-by-step explanation:

Volume of a cylinder given r = radius and h = height is
V = πr²h

Given r = 10 and h = 30

V = π (10)² . (30) ≈ 9424.78  cubic centimeters

1 liter = 1000 cubic centimeters this works  out to
9424.78/1000 = 9.42478 ≈ 9.425 liters

For less than 6 hours, Hank's Movers charge less.

Acme movers charge $210 plus $20 per hour, so if they work for x hours they charge:

A(x) = $210 + $20*x

Hank's movers only charge $55 per hour, so here the linear equation is:

H(x) = $55*x

They charge the same amount when:

A(x) = H(x)

$210 + $20*x = $55*x

Now we can solve that to get:

$210 + $20*x = $55*x

$210 = $55*x - $20*x = $35*x

$210/$35 = x = 6

So, for 6 hours, both companies charge the same amount.

For less than 6 hours, Hank's Movers charge less.

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Answer:

Area = 105 square feet

Hope this helps :)

Step-by-step explanation:

Formula for Area of a Rectangle: l × w = Area

1. To find the area, multiply 21 and 5.

21 × 5 = 105

Area = 105 square feet

Answer:

B. -5 ≤ x ≤ 7.

Step-by-step explanation:

Al; x values greater or equal to -5 and less than or equal to 7.

The filled circles mean these x values are included in the domain.

Answer:

y = 3x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation of the parallel line

to find c substitute (1, 12 ) into the partial equation

12 = 3 + c ⇒ c = 12 - 3 = 9

y = 3x + 9 ← equation of parallel line

Answer:

336/34

Step-by-step explanation:

Answer:

6 cups

Step-by-step explanation:

cuz im smart :)

Answer:

D

Step-by-step explanation:

8 liters of 30 percent vinegar solution was mixed.

Percent or percentage is defined as the value for every 100. the simple way to calculate percentage is by dividing the data with the whole data and multiplying it by 100.

4 liters of 15 percent vinegar solution contains:

(15/100)×4 liters of vinegar=0.6 liters

x liters of 30 percent vinegar solution contains:

(30/100)× x liters of vinegar=0.03x liters

Therefore the total vinegar in the 25 percent solution is (0.6+0.3x) liters.

Total volume of the solution is (x+4) liters

(x+4) liters of 25 percent solution contains:

(25/100)×(x+4) liters =(0.25x+1) liters

Now we can equate both values to calculate the value of x from a linear equation:

(0.6+0.3x)=(0.25x+1)

or, 0.05x=1-0.6

or, x= 8 liters

Hence 8 liters or 30 percent solution was mixed.

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Answer:

Y = 7/{3^(x+1)}

The number 7 is constant in the relation

The denominator is increasingly exponentially with the number 3 as i

Answer:

13 to the left and 13 up

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

This equation is written in slope intercept form, so This will make it easier.

We can find the slope of the line by plotting the equation, or using the equation itself.

y = mx + b is the slope-intercept form, where m is the slope

this means that the slope is -9

Hope this helps! ^^

Answer: a. -5

b. 4

c. -2

Step-by-step explanation:

a. x=-3 ==> x<0

f(-3)=

3(-3)+4=

-9+4=-5

b. x=3 ==> x>=0

f(3)=

2(3)-2=

6-2=4

c. x=0 ==> x>=0

f(0)=

2(0)-2=

0-2=-2

The given function for peanuts is continuous function.

A continuous function, as the name implies, refers to one for whom the graph is continuous without a breaks or jumps.

For the given expression in the question;

The relation between the cost 'c' and wight 'p' in pounds for the peanuts is given as;

c = 1.5p

As, you can see that the expression is a polynomial having two variables with the highest degree 1.

And, as we know that the every polynomial is a continuous function.

The given function forms a straight line on as for every different real value of p there s single value of c, which varies linearly.

Therefore, the function c = 1.5p is a continuous function forming a straight line.

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Answer:

The factor which is used to convert feet per minute into miles per minute is:

1 ft per minute=0.000189 miles per minute.

( since, 1 ft.= 0.000189 miles )

Step-by-step explanation:

Conversion factor--

A conversion factor is a factor which is used to convert one unit to another by multiplication or division by a specified number.

We know that:

1 miles= 5280 ft.

This means that:

1 ft.=1/5280 miles

i.e. 1 ft.= 0.000189 miles.

Hence, 1 ft per minute=0.000189 miles per minute.