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3 years ago

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1 answer:

8 0

A - The lowest point is 9 feet below sea level and the highest point is 108 feet above sea level.
I hope this helps.
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rename each mixed number as an equivalent mixed number with the same denominator. 4 6/9= 7 5/3= 3 7/8= 5 19/14=

denis-greek [22]

4 6/9= 38/9
7 5/3= 26/3
3 7/8= 31/8
5 19/14 =89/14

5 0

3 years ago

What value of n makes the equation true? (2x^9y^n)(4x^2y^10)=8x^11y^20

Komok [63]

Hi there! The answer is n = 10.

$(2 {x}^{9} {y}^{n} )(4 {x}^{2} {y}^{10} ) = 8 {x}^{11} {y}^{20}$

As you see at the powers of x, we need to add the exponents of the power we when multiply them.
${x}^{9} \times {x}^{2} = {x}^{9 + 2} = x {}^{11}$

The powers of y work the same way.
${y}^{n} \times {y}^{10} = {y}^{n + 10} = {y}^{20}$

Hence, n = 10, since
${y}^{10 + 10} = {y}^{20}$

8 0

3 years ago

Can someone help me please!!?? Eleven and seven-hundredths added to four and twenty-five hundredth the sum is

zloy xaker [14]

Answer:

$15.32$

Step-by-step explanation:

Eleven and seven-hundredths $=11+\frac{7}{100}$

(Here, $\frac{1}{100}$ denotes the hundredth)

Four and twenty-five hundredth $=4+\frac{25}{100}$

Therefore,

Sum of Eleven and seven-hundredths added to four and twenty-five hundredth = $11+\frac{7}{100}+4+\frac{25}{100}$

$=15+\frac{32}{100}$

$=15+0.32$

$=15.32$

8 0

2 years ago

Andrew had 40 dollars to spend on paying the paint store was having a sale each color comes in one gallon container that cost $1

MAVERICK [17]

Answer:

yes, he would have enough money

He would need a total of 1.5 gallons to paint the wall .

the cost of 1.5 gallons is $18 dollars.

Andrew has 40. he has enough money

Step-by-step explanation:

total gallon needed to pain four walls = 3/8 x 4 = 1 1/2 gallons

total cost of 1 1/2 gallons = 1 1/2 x $12

to calculate this amount convert 1 1/2 to improper fraction

to convert to improper fraction, take the following steps :

1. Multiply the whole number by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator

3/2 x $12 = $18

3 0

3 years ago

by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .

konstantin123 [22]

Answer:

$\frac{1}{44} \approx0.0227\hspace{3}units$

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

$D_uf(x,y,z)=\nabla f\bullet u$

$\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector$

The gradient of f is:

$\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle$

The unit vector can be found as:

$u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle$

The directional derivative at the point is:

$D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}$

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

$\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units$

6 0

3 years ago