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2 years ago

Martina drove 792 miles in 11 hours.

Mathematics

1 answer:

Fudgin [204]2 years ago

4 0

Answer:

7 hours

Step-by-step explanation:

Her rate (speed) is

v = d/t = (792 miles) / (11 hrs) = 72 mph

To drive a distance D = 504 miles, it will take her a time T given by

T = D/v = (504 miles) / (72 mph) = 7 hours

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Look at the image below

VashaNatasha [74]

Answer:

Step-by-step explanation:

hello!

(l*L *h)/3 =

(4*11* 9)/3 => 132 km³

4 0

2 years ago

Liz earns a salary of $2,100 per month plus a comission of 5 percent of her sales. She wants to earn at least $2,400 this month.

Luda [366]

$x-amount\ of\ sales\\\\2100+0.05x=2400\ \ \ \ |subtract\ 2100\\\\0.05x=2400-2100\\\\0.05x=300\ \ \ \ |\cdot20\\\\\boxed{x=6000}$

7 0

3 years ago

Read 2 more answers

Circumference = 314 cm<br> Diameter =<br> Radius =

fenix001 [56]

Answer:

D=100

R=50

Step-by-step explanation:

Diameter can be found by dividing the circumference by pi (314/3.14=100). Dividing the diameter in halve is used to find the radius (100/2=50).

4 0

3 years ago

Which statement is true?

love history [14]

<h2>Hello!</h2>

The answer is:

The second option,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Discarding each given option in order to find the correct one, we have:

<h2>First option,</h2>

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}$

<h2>Second option,</h2>

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

The statement is true, we can prove it by using the following properties of exponents:

$(a^{b})^{c}=a^{bc}$

$\sqrt[n]{x^{m} }=x^{\frac{m}{n} }$

We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

So, applying the properties, we have:

$(\sqrt[m]{x^{a} } )^{b}=(x^{\frac{a}{m}})^{b}=x^{\frac{ab}{m}}\\\\x^{\frac{ab}{m}}=\sqrt[m]{x^{ab} }$

Hence,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

$a\sqrt[n]{x}+b\sqrt[n]{x}=ab\sqrt[n]{x}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$a\sqrt[n]{x}+b\sqrt[n]{x}=(a+b)\sqrt[n]{x}$

<h2>Fourth option,</h2>

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=m\sqrt{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

Hence, the answer is, the statement that is true is the second statement:

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Have a nice day!

6 0

2 years ago

Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic division.

WITCHER [35]

Write the coeeficientes of the polynomial in order:

| 1   - 5   6   - 30
|
|
|
------------------------

After some trials you probe with 5

   | 1   - 5    6     - 30
   |
   |
5 |        5      0       30
-----------------------------
   1    0      6        0 <---- residue

Given that the residue is 0, 5 is a root.

The quotient is x^2 + 6 = 0, which does not have a real root.

Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.

3 0

2 years ago