Ask question

Ask question

All categories

sertanlavr [38]

3 years ago

6

Have students write the answer to the essential question and draw examples to explain their answer. Essential Question is how ca

n you use models to find factors?

1 answer:

OLga [1]3 years ago

7 0

Objective:

Understand what an essential question is & is not

Write one effectively

Definition: An essential question lies at the heart of a subject & promotes the asking of more questions to uncover more about the subject.

Example:

Modeling factors of Numbers:

A factor is a number multiplied by another number that gives a product.

every whole number greater than 1 has at least two factors, 1 and itself.

Use 20 tiles to make as many different arrays as you can.

factors are 4*5=20

2*10=20

1*20=20

factors of 20: 1,2,4,5,10 and 20.

You might be interested in

How many solutions does it have?<br> 3x+4 = 3x+4

MrRa [10]

Answer:

it has no solution.......

answer will be 3x+4 = 3x+4 i.e, 0=0 ,so

but if 3x+4 = 0 , x= -4/3 . Its a linear equation and has only one solution

3 0

2 years ago

Read 2 more answers

Solve the inequality for z-9< 15. Simplify your answer as much as possible.

Fiesta28 [93]

Answer:

z < 24

Step-by-step explanation:

5 0

3 years ago

Which solid has a greater volume

Triss [41]

Answer:

The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).

Step-by-step explanation:

Cylinder:

-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:

$V = \pi r^2 h$

$V = \pi 2^2 6$

-Solve:

$V = \pi 2^2 6$

$V = \pi \times 2^2 \times 6$

$V = \pi \times 4 \times 6$

$V = \pi \times 24$

$V = 24\pi \approx 75.39$

--------------------------------------------------------------------------------------------------------

Cone:

-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:

$V = \frac{1}{3} \pi r^2h$

$V = \frac{1}{3} \pi 3^28$

-Solve:

$V = \frac{1}{3} \pi 3^28$

$V = \frac{1}{3} \times \pi \times 3^2 \times 8$

$V = \frac{1}{3} \times \pi \times 9 \times 8$

$V = \frac{1}{3} \times \pi \times 72$

$V = \frac{1}{3} \pi \times 72$

$V = 24\pi \approx 75.39$

-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.

Cylinder: $75.39$ $ft^3$

Cone: $75.39$ $ft^3$

5 0

3 years ago

When hired at a new job selling jewelry, you are given two pay options:

Savatey [412]

Answer:

Option a because you will make more orofits

3 0

3 years ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

<u>Exponential Function</u>

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

<u>Part A</u>

<u>Product A</u>

Assuming the function for Product A is <u>exponential</u>:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an <u>increasing function</u>.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, <u>product A is increasing by 3% each year.</u>

<u>Part B</u>

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>

4 0

2 years ago