All categories

3 years ago

If x<5 and y<6, then x+y__ 11 is it <,>,=?

1 answer:

7 0

To solve for this, let's try the highest number x and y can be.

X < 5, so it can be 4.
Y < 6, so it can be 5.

4 + 5 = 9.
9 < 11, so x + y < 11.

Your missing inequality symbol is:

<

I hope this helps!

You might be interested in

If a sum invested gains 10% each year how long will it be before it has doubled its<br> value?

Anika [276]

Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.

The equation for an increasing <u>exponential function</u> is given by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial amount.
r is the growth rate, as a decimal.

In this problem:

Gains 10% each year, thus $r = 0.1$ .

The doubling time is t for which $A(t) = 2A(0)$ , then:

$A(t) = A(0)(1.1)^t$

$2A(0) = A(0)(1.1)^t$

$(1.1)^t = 2$

$\log{(1.1)^t} = \log{2}$

$t\log{1.1} = \log{2}$

$t = \frac{\log{2}}{\log{1.1}}$

$t = 7.3$

It will be 7.3 years before the value is doubled.

A similar problem is given at brainly.com/question/23008760

4 0

2 years ago

A die is rolled if the number rolled is less than 5 what is the probability that it is the bumber 2?

marin [14]

Answer: 1 out of 4

Step-by-step explanation: because it is below five, there are four possibilities. And rolling a 2 is only one of them

6 0

3 years ago

the graph shows the first five terms in a geometric sequence what is the iterative rule for the sequence

algol [13]

The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

<u>Given:</u>

a₁ = 8

a₂ = 4

a₃ = 2

a₄ = 1

<u>Solution:</u>

<em>Firstly , we find the ratio by following formula:</em>

$r = a_2 \div a_1 = 4 \div 8 = 0.5$

$\texttt{ }$

<em>The iterative rule for the sequence:</em>

$a_n = a_1 \cdot~ r^{n-1}$

$a_n = 8 \cdot~ (0.5)^{n-1}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

6 0

3 years ago

Determine the domain and the range of the graph.

dimulka [17.4K]

Answer:

Domain: (-∞,∞)

Range: -1

Step-by-step explanation:

Domain means the x-coordinates covered:

(-∞,∞)

Range means the y-coordinates covered:

Only -1 because there are no other existing y-coordinates.

5 0

3 years ago

The range of this function

Monica [59]

Answer: C

Step-by-step explanation: The range of a function is all the outputs, or in this case all the values on the right side of the function. Therefore, we just look at what numbers are there and we find the range

7 0

3 years ago