Does 5=5 and n=4 have no solutions, 1 solution or infinite solutions

A pelican is flying 120 feet above sea level. The pelican dives to catch a fish that is 35 feet below sea level. Which number re

sergiy2304 [10]

Answer:

155

Step-by-step explanation:

Remember that below sea level means negative. So 120-(-35)=155

I hope this helps! :)

8 0

3 years ago

Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a

larisa86 [58]

Answer:

Point (1,8)

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

$[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]$

Let us substitute coordinates of point P and Q as:

$x_1=-8$ ,

$y_1=-4$

$x_2=4$

$y_2=12$

$m=3$

$n=1$

$[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]$

$[x=\frac{12-8}{4},y=\frac{36-4}{4}]$

$[x=\frac{4}{4},y=\frac{32}{4}]$

$[x=1,y=8]$

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

7 0

3 years ago

A company is designing a new cylindrical water bottle. The volume of the bottle will be 211 cm^3. The height of the water bottle

Zinaida [17]

Answer:

The correct answer is 2.912 cm.

Step-by-step explanation:

A company is designing a new cylindrical water bottle.

Volume of a cylinder is given by π × $r^{2}$ × h, where h is the height of the cylinder and r is the radius of the cylinder.

The volume of each bottle will be 211 $cm^{3}$ .

The height (h) of the water bottle be 7.9 cm.

Let the radius of the bottle be r cm.

∴ π × $r^{2}$ × h = 211 ; (π = 3.15)

⇒ $r^{2}$ × 24.885 = 211

⇒ r = 2.912

The radius of the water bottle is 2.912 cm.

4 0

3 years ago

What is the explicit formula for this arithmetic sequence?<br>3,9,15,21,27

denis-greek [22]

Answer:

Step-by-step explanation:

Formula is to add 6. As you can see: 3+6=9; 9+6=15; 15+6=21 and 21+6=27.

I hope this was helpful.

8 0

3 years ago

Read 2 more answers

Mr. Noel borrowed money from his cousin at a rate of 10% simple interest. After 1 year, $440

Alborosie

Answer:

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

A = P+I ............ 2

From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

<em>Hence the amount Mr Noel originally borrow is $400</em>

5 0

3 years ago