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tigry1 [53]
4 years ago
8

Could anyone help me?

Mathematics
2 answers:
WARRIOR [948]4 years ago
7 0
The answer should be the second one
fredd [130]4 years ago
7 0

Answer:

<em>Option D.</em>

Step-by-step explanation:

To raise a product to an exponent, you must raise each factor of the product to the exponent. The product being raised to an exponent is 4z^8. This product is being raised to the -3 power. To raise it to the -3 power, you must raise each factor of the product to the -3 power.

(4z^8)^-3 = 4^-3 * (z^8)^-3.

4 must be raised to the -3 power, and z^8 must also be raised to the -3 power.

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Solve the inequality. g + 2 – 2(g – 16) &gt; 0
Fynjy0 [20]
If you are looking for g then the answer is g<34
3 0
3 years ago
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A rectangular parking lot has an area of 315 square yards. The width of the parking lot is 5 yards longer than the length of the
Blababa [14]

Answer:

Dimension of parking lot is approximately 15.425 × 20.425 yards.

Step-by-step explanation:

Given:

Area of the parking lot = 315 \ yd^2

Let the length of the parking lot be 'l'

Also Given:

The width of the parking lot is 5 yards longer than the length of the parking lot.

so we can say that;

width of the parking lot, w=5+l

We need to find the dimension of parking lot.

Solution:

Now we can say that;

Area of rectangle is equal to length times width.

framing in equation form we get;

lw=315

Now substituting the value of w in above equation we get;

l(l+5)=315\\\\l^2+5l=315\\\\l^2+5l-315=0

Now we will find the roots using quadratic equation.

ax^2+bx+c =0

a = 1

b=5

c=-315

Formula for quadratic equation is;

l =\frac{-b\±\sqrt{b^2-4ac}}{2a}

First we will find;

\sqrt{b^2-4ac} = \sqrt{5^2-4\times1\times-315} =\sqrt{25+1260}=\sqrt{1285}  \approx35.85

Now we will substitute the value we get;

l =\frac{-5\±35.85}{2\times1}= \frac{-5\±35.85}{2}

Now we will find 2 roots we get;

l= \frac{-5+35.85}{2}= \frac{30.85}{2}\approx15.425\\\\OR\\\\l =\frac{-5-35.85}{2}= \frac{-40.85}{2} \approx -20.425

Now we get 2 values of length one is positive and other is negative.

But length of parking lot cannot be negative hence we will discard the negative value.

Hence the length of the parking lot = 15.425 yards

Width of the rectangular parking lot = l+5=15.425+5 =20.425

Hence we can say that dimension of parking lot is approximately 15.425 × 20.425 yards.

3 0
3 years ago
A game contains 3 bags of green chips 2 bags of red chips and 5 bags og yellow chips. there ard 25 green chips in a bag and 30 r
nika2105 [10]
1 game has 3 bags of green chips ; 2 bags of red chips ; 5 bags of yellow chips
1 bag: 25 green chips
1 bag: 30 red chips

total number of chips:
green: 3 x 25 = 75 
red: 2 x 30 = 60
yellow: 75 + 60 = 135  answer to part a.

75 + 60 + 135 = 270 total number of chips.

270 / 54 = 5 players. answer to part b.

Each of the 5 players will have 15 green chips, 12 red chips, and 27 yellow chips, for a total of 54 chips.
8 0
3 years ago
What is the perimeter of the triangle? Round to the nearest tenth.
Cerrena [4.2K]

Answer: 19.8 Units

Step-by-step explanation:

The triangle is shown in the attached figure, and have three vertices: AB, AC and BC.

Each vertice represents a point in the cartesian plane and the length of each side of the triangle is the modulus of each vector.

In this sense, the modulus m is calculated as shown:

m=\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}

Hence, for each vector:

AB=\sqrt{(-2-3)^{2} + (3-0)^{2}}=\sqrt{34}

AC=\sqrt{(-2-(4))^{2} + (3-(-3))^{2}}=\sqrt{40}

BC=\sqrt{(-4-3)^{2} + (-3-0)^{2}}=\sqrt{58}

Now, the perimeter of a triangle is the sum of its three sides:

AB+AC+BC=\sqrt{34} + \sqrt{40} + \sqrt{58}

Finally:

AB+AC+BC=19.77 \approx 19.8

6 0
4 years ago
Help please asap :)))))
ArbitrLikvidat [17]

Answer:

This would be identified as a scale factor of 3x

Step-by-step explanation:

We can divide the height of B by A, 3/1 = 3

We can divide the length of B by A, 9/3 = 3

Scale factor of 3

3 0
4 years ago
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