The square root of 215 is between which two whole numbers?

Answers

Answer 1
Answer:

Answer:

14 and 15

Step-by-step explanation:

14.6628782986, this is the square root.

Answer 2
Answer:

Final answer:

The square root of 215 lies between the whole numbers 14 and 15 since 215 falls between the squares of these two numbers (196 and 225).

Explanation:

To find out which two whole numbers the square root of 215 lies between, we need to find the squares of consecutive whole numbers until we identify the two between which 215 falls. The square of 14 is 196 and the square of 15 is 225. Therefore, since 215 is between 196 and 225, the square root of 215 lies between 14 and 15.

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PLEASE HELP!!!!!!!! A cardboard box is 32 centimeters long, 15 centimeters wide, and 6 centimeters tall. The box does not have a top. How much cardboard was used to make the box?

Answers

Answer:

  • 1044 cm²

Step-by-step explanation:

Since the box doesn't have the top, the total surface area includes 4 sides and the bottom.

  • S = 32(15) + 2(32 + 15)(6) = 1044 cm²

Cardboard used is 1044 cm²

Which of these is the algebraic expression for the verbal expression "ten times the difference of a number and twelve?"10(x − 12)
x − 12 ⋅ 10
12(x − 10)
10 ⋅ x − 12

Answers

Hello,

Answer A

10*(x-12)
first x-12 (parenthesis) : difference of some number and 12
second 10* the result before==> the product of 10 by the diffrence of x and 12.


Answer:

Step-by-step explanation:

10(x − 12)

x − 12 ⋅ 10

12(x − 10)

10 ⋅ x − 12

How much would $100 invested at 8% interest compounded continuously be worth after 15 years?

Answers

The correct formula to use for continuous compounding is:
A=Pe^(rt)
where the exponential number e is the base of natural logarithms.
A=100* e^{(0.08*15)=332.01
So the amount after 15 years is $332.01

Answer:

$332.01 is correct via a p e x

Step-by-step explanation:

Let f(x)=2x-3 and g(x)= -x^2-1 find ( g o f) (x)

Answers

f(x)=2x-3\ \ \ and\ \ \ g(x)= -x^2-1\n\n( g \circ f) (x)=g\bigg(f(x)\bigg)=g\bigg(2x-3\bigg)=-(2x-3)^2-1=\n\n=-(4x^2-12x+9)-1=-4x^2+12x-9-1=-4x^2+12x-10
g \circ f=-(2x-3)^2-1=-(4x^2-12x+9)-1=\n =-4x^2+12x-9-1=-4x^2+12x-10\n

2.) What value for c will make the expression a perfect square trinomial?x2 – 7x + c

-49/4
-7/2
7/2
49/4

Answers

Answer : (49)/(4)

Given expression is x^2 - 7x + c

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is (-7)/(2)

Square of (-7)/(2) is ((-7)/(2))^2 = (49)/(4)

So the expression becomes x^2 - 7x + [tex] (49)/(4) that gives perfect square trinomial

Hence , the value of 'c' is (49)/(4)


The value for c will make the expression a perfect square trinomial is 49/4

How to determine the value of c?

The equation is given as:

x^2 - 7x + c

Take the coefficient of x

k = -7

Divide it by 2

k/2 = -7/2

Square both sides

(k/2)^2 = (-7/2)^2

The above represents the value of c.

So, we have:

c = (-7/2)^2

Evaluate

c = 49/4

Hence, the value for c will make the expression a perfect square trinomial is 49/4

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(38x+61y)-(3x-11y) simplify this expression

Answers

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▹ Answer

35x + 72y

▹ Step-by-Step Explanation

(38x + 61y) - (3x - 11y)

38x + 61y - (3x - 11y)

38x + 61 y - 3x + 11y

35x + 61y + 11y

35x + 72y

Hope this helps!

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