All categories

3 years ago

Which interval notation represent the set of all real numbers greater than 2 and less than or equal to 20

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

6 0

The interval notation for numbers greater than 2 but less than or equal to 20 is (2,20]

You might be interested in

Pls can some help me

maxonik [38]

-4.75= z/2

Multiply both sides by 2

-4.75(2)= z/2(2)

Cross out 2 and 2, divide by 1 and becomes z

z=-9.5

Answer: z= -9.5

7 0

3 years ago

Read 2 more answers

What is a reasonable measure for the angle shown?

monitta

10° is your answer for the angle

7 0

3 years ago

Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles

OverLord2011 [107]

Answer:

Final answer is approx 6.644 years.

Step-by-step explanation:

Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

So we can use growth formula:

$A=P\left(1+r\right)^t$

Then we get equation for motorcycles and cars as:

$A=5.75\left(1+0.16\right)^t$

$A=3.5\left(1+0.25\right)^t$

Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:

$3.5\left(1+0.25\right)^t>5.75\left(1+0.16\right)^t$

$3.5\left(1.25\right)^t>5.75\left(1.16\right)^t$

$\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}$

$\left(\frac{1.25}{1.16}\right)^t>1.64285714286$

$t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)$

$t>\frac{\ln\left(1.64285714286\right)}{\ln\left(\frac{1.25}{1.16}\right)}$

$t>6.6436473051$

Hence final answer is approx 6.644 years.

7 0

3 years ago

Find the quotient of 9x³-12x²+4/x-2 by using either long division or the reverse tabular method.

beks73 [17]

Answer:

$9{ x }^{ 2 }+6x+12$

Step-by-step explanation:

8 0

3 years ago

Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5

Andre45 [30]

Answer: 6 - 5

<u>Step-by-step explanation:</u>

|z - 6| - |z - 5| ; z < 5

Since z < 5, then

|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:

-(z - 6) = -z + 6

|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:

-(z - 5) = -z + 5

Now subtract them without the absolute value signs:

-z + 6 - (-z + 5)

Distribute the negative sign:

-z + 6 + z - 5

-z + z = 0 which leaves:

6 - 5

3 0

3 years ago

Read 2 more answers