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2 years ago

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A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10

squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer ?

1 answer:

Andreyy892 years ago

7 0

Answer: Its B i just took the test

Step-by-step explanation:

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Is <img src="https://tex.z-dn.net/?f=2%5E%7B-3%7D" id="TexFormula1" title="2^{-3}" alt="2^{-3}" align="absmiddle" class="latex-f

TEA [102]

Answer:

Rational

Step-by-step explanation:

$2^{-3}$ simplifies to $\frac{1}{8}$ .

Therefore, it is rational.

$2^{-3}\\\\\text {Apply negative exponent rule: } a^{-n} = \frac{1}{a^n} \\2^{-3}= \frac{1}{2^3}\\ \rightarrow 2^3 = 2*2*2=8\\\boxed{2^{-3}=\frac{1}{8}}$

<em>Brainliest Appreciated. </em>

5 0

2 years ago

PLEASE HELP DUE TODAY!!

telo118 [61]

9514 1404 393

Answer:

2.8¢, true

Step-by-step explanation:

The value of copper in a penny is reportedly about ...

(0.95 × 3.11 g)×(1 oz)/(28.35 g)×($0.27/oz) ≈ $0.028

Today, the value of the copper in a pre-1982 penny is about 2.8¢, more than double the value of the penny as legal tender.

The claim is true.

7 0

2 years ago

The width of a rectangle is 3 less than its length find the width of the rectangle if its perimeter is 26ft

Marta_Voda [28]

The width of rectangle is 5 feet.

Let us assume the length of rectangle to be x. So, the width of rectangle will be (x - 3).

Now, as per the known fact, perimeter, length and width of rectangle are related by the formula -

Perimeter = 2 × (length + width)

Keep the values in formula to find the value of width

26 = 2 × (x + x - 3)

Performing addition of variables inside the bracket

26 = 2 × (2x - 3)

Shifting 2 to other side of equation to find the value of x

2x - 3 = $\frac{26}{2}$

Performing division to find the value of x

2x - 3 = 13

Shifting 3 to other side of equation to find the value of x

2x = 13 + 3

Performing addition to find the value of x

2x = 16

Shifting 2 as denominator to other side of equation to find the value of x

x = $\frac{16}{2}$

Performing division to find the value of x

x = 8

So, length of rectangle is 8 feet

Width of rectangle = x - 3

Width of rectangle = 8 - 3

Width of rectangle = 5 feet

Hence, the width of rectangle is 5 feet.

Learn more about calculation involving rectangle -

brainly.com/question/24571594

#SPJ4

7 0

1 year ago

Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

2 years ago

Each bag juwad picked holds 15 apples. How many apples did he pick in two weeks? write an expression to represent this problem.

MAVERICK [17]

The questions does not make sense

6 0

2 years ago

Read 2 more answers