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2 years ago

A rectangular park has 2 paths of width 2m running across it. What is the total area covered by the 2 paths ?

Mathematics

1 answer:

astra-53 [7]2 years ago

3 0

Answer:

10m.

Step-by-step explanation:

Add up all the areas of the running path and then you can reach to the answer. I got 10m and most probably it should be that only.

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1) At AJ Welding Company they employ 253 people, 108 employees receive 2 weeks of paid 1) _______ vacation each year. Find the r

Fantom [35]

Answer:

108 : 145

Step-by-step explanation:

253 - 108 = 145

Ratio of those who receive 2 weeks of paid vacation is 108

Ratio of those paid vacation is not 2 weeks is 145

108 : 145

5 0

3 years ago

Can anyone help me with this math problem?

vichka [17]

Answer:

-2

6 = -2 -(-8) because -2 + 8 = 6.

Any time you see -(- you add.

8 0

2 years ago

How do I solve for x here? Use the properties of logarithms to find a value for x. Assume a,b, and M are constants.

Leona [35]

Yes, you're right! The first step is rewriting the equation as

$\ln(a) + \ln(b^x) = M$

Subtract $\ln(a)$ from both sides:

$\ln(b^x) = M-\ln(a)$

Use the property $\ln(a^b) = b\ln(a)$ to rewrite the equation as

$x\ln(b) = M-\ln(a)$

Divide both sides by $\ln(b)$

$x = \dfrac{M-\ln(a)}{\ln(b)}$

Alternative strategy:

Consider both sides as exponents of e:

$e^{\ln(ab^x)} = e^M$

Use $e^{\ln(x)} = x$ to write

$ab^x = e^M$

Divide both sides by a:

$b^x = \dfrac{e^M}{a}$

Consider the logarithm base b of both sides:

$x = \log_b\left(\dfrac{e^M}{a}\right)$

The two numbers are the same: you can check it using the rule for changing the base of logarithms

7 0

3 years ago

Compute the greatest root of x^4-x^3-19x^2+4x+60=0. Express your answer in simplified radical form.

erik [133]

Answer:

your answer can be either

Step-by-step explanation:

x = 5

x = 3

x= 0.0000 - 2.0000 i

x= 0.0000 + 2.0000 i

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((((x4)-(8•(x3)))+19x2)-32x)+60 = 0

Step 2 :

Equation at the end of step 2 :

((((x4) - 23x3) + 19x2) - 32x) + 60 = 0

Step 3 :

Polynomial Roots Calculator :

3.1 Find roots (zeroes) of : F(x) = x4-8x3+19x2-32x+60

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is 60.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2 ,3 ,4 ,5 ,6 ,10 ,12 ,15 ,20 , etc

4 0

3 years ago

Read 2 more answers

What is the volume of a box that is 5 feet long, 6 feet wide and 10 feet tall

WITCHER [35]

Answer:

The volume is 300 square feet.

Step-by-step explanation: