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lana [24]
3 years ago
14

A contractor digs a hole for the basement of a new house that is 40 feet long and 10 1/2 feet deep what is the width of the hole

if 6510 ft.³ of dirt are removed
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
8 0
<span>the hole is 15 1/2 feet wide.</span>
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Please see attached below and please explain how to solve.
densk [106]

Answer:

  The 6% simple interest account earns more interest in 2 years.

Step-by-step explanation:

You can compare the multipliers in the interest formulas.

For simple interest, the amount in the account (A) starting with principal P and earning at rate r for t years will be ...

  A = P(1 +rt)

For the values given, r=.06 and t=2, the multiplier is ...

  1 +rt = 1 +.06·2 = 1.12

__

For interest compounded annually, the amount will be ...

  A = P(1 +r)^t

For the given values, the multiplier is ...

  (1+r)^t = (1.04)^2 = 1.0816

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Since 1.12 > 1.0816, the account earning simple interest will earn more interest.

5 0
3 years ago
For each of the following sequences, state rule and write down the next two terms
AysviL [449]

Answer:

9, 13, 22, 38, <u>63</u>, <u>99</u>

Step-by-step explanation:

13 = 9 + 2²

22 = 13 + 3²

38 = 22 + 4²

38 + 5² = 38 + 25 = 63

63 + 6² = 63 + 36 = 99

8 0
3 years ago
Simplify completely -3 (4-9) + 6 - 2 (-8 + 5)
aivan3 [116]
27 is the answer, I can explain how I got that if you need.
8 0
3 years ago
Let f (x) be a polynomial function with a zero of multiplicity of 1 at 2 and a zero of multiplicity of 2 at 1. Let g(x) be the r
Stella [2.4K]

The polynomial functions in their expanded form is given as follows. It is right to state that there are no breaks in the domain of h(x).

<h3>

What is a polynomial function?</h3>

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.

For instance, the polynomial 3x+4 has an exponent of 1.

Part A: F(x) has zero at 2 and multiplicity of 1; and

1 at the multiplicity of 2

f(x) = x-2) (x-1)²

= (x-2) (x² - 2x + 1)

= x³ - 4x² + 5x -2

Part B: h (x) = \left \{ {{x^3 -4x^2 + 5x -2; X < 0} \atop {\sqrt[3]{x-2} ; X\geq 0 }} \right.

The domain of X is X ∈ R

Hence it is correct to state that there are no breaks in the domain of h(x).

Learn more about polynomial functions:
brainly.com/question/2833285
#SPJ1

6 0
2 years ago
Find y give your answer in simplest form​
cricket20 [7]

17 \sqrt{2}

One of the angle of the triangle is 90 degrees which means it is a right angled triangle. Two angles are same i.e 45 degrees which means the angle is an isosceles triangle.

so, x = 17 (isosceles triangle)

then use pythagoreas theorem:

y =  \sqrt{x {}^{2} + 17 {}^{2} }

and x = 17, so simplify and

y =  \sqrt{17 {}^{2}  + 17 {}^{2} }

so

y = 17 \sqrt{2}

8 0
3 years ago
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