All categories

3 years ago

Figure this out for 15 points

Mathematics

1 answer:

garri49 [273]3 years ago

3 0

Step-by-step explanation:

Joe's climbing rate is not constant

3 × 2 = 6

8 × 1.5 = 12

12 × 1.1666666667 = 14

Time when climber reaches 30ft is unknown because climbing rate is not constant

Zas's climbing rate is 2.5

2 × 2.5 = 5

4 × 2.5 = 10

12 × 2.5 = 30

At 12 seconds, Zas reaches 30 feet.

Stephen's climbing rate is 4

2 × 4 = 8

4 × 4 = 16

6 × 4 = 24

30 ÷ 4 = 7.5

7.5 × 4 = 30

At 7.5 seconds, Stephen reaches 30 feet.

You might be interested in

Write equations and solve for x and y don't know what to do pls help

irina1246 [14]

X=9
y= 24
Hope it helps!
#MissionExam001

8 0

3 years ago

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simple

Rama09 [41]

Answer:

17/9

Step-by-step explanation:

The scaled figure in the right is larger, thus the scale factor is greater than 1.

6 0

2 years ago

Read 2 more answers

Which product of prime polynomials is equivalent to 3x4 – 81x?

adelina 88 [10]

Given:

The expression is

$3x^4-81x$

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

$3x^4-81x$

Taking out the common factors, we get

$=3x(x^3-27)$

It can be written as

$=3x(x^3-3^3)$

$=3x(x-3)(x^2+3x+3^2)$ $[\because a^3-b^3=(a-b)(a^2+ab+b^2)]$

$=3x(x-3)(x^2+3x+3^2)$

$=3x(x-3)(x^2+3x+9)$

Therefore, the correct option is B.

5 0

3 years ago

Read 2 more answers

Choose the best unit of measure to find the capacity of a swimming pool.

Nady [450]

Kiloliters.Hope I helped.

4 0

3 years ago

A rectangle has a length of 34 inches less than 5 times it’s width. If the area of the rectangle is 867 square inches, find the

pshichka [43]

Length of the rectangle is 51 inches

Solution:

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

The formula for rectangle is given as:

$\text { area of rectangle }=length \times width$

As given that Area of rectangle = 867 square inches

$\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}$

On solving quadratic equation by using quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

$\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}$

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

5 0

3 years ago