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Bas_tet [7]
3 years ago
13

Janae bought a new house. The house is quite large, 2500 square feet, and has a nice sized backyard. She bought the house on a f

oreclosure, so she got a great deal: $129,900! Janae has a dog, Lyle, who is 18 years old. Lyle loves to play in the yard, but Janae's new house does not have a fenced in yard. Before Janae puts up a fence, she wants to know how big her yard is. Her yard measured as follows: Length: (x-7) Width: (x+2) How would you rephrase this scenario, keeping only information that is of importance?
Mathematics
1 answer:
Bond [772]3 years ago
4 0

Solution :

Rephrasing is defined as to rewriting or expressing the idea or the content in an alternative way.

So rephrasing the question, we get :

Janae bought a new big size house of 2500 square feet with a large size backyard at $ 129,900. Janae wants fence her backyard so that her dog, Lyle can play on the backyard. Before fencing she wants to know the perimeter of the fencing or the size of the yard so that she could fence it. The measures of her yard is :

length : (x-7)

width : (x+2)

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B) Simplify (4ab^2)^3​
Rudiy27

Answer:

64a^{3} b^{6}

Step-by-step explanation:

(4ab^2)^3

=> 4^{3} a^{3} b^{6}

=> (4 \times  4 \times 4) a^{3} b^{6}

=> 64a^{3} b^{6}

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20-%205" id="TexFormula1" title="f(x) = x {}^{2} - 5
faust18 [17]

Answer:

The vertex is (0, -5) and the axis of symmetry is x = 0.

Step-by-step explanation:

In order to find the axis of symmetry, we look for the x value of the vertex. We can find this using the equation -b/2a, in which a is equal to the coefficient of the x^2 term and b is the coefficient of the x term.

x = -b/2a

x = 0/2(1)

x = 0/2

x = 0

So the axis of symmetry is 0 as is the x value of the vertex. Now we can find the y value by plugging in the x value into the equation.

f(x) = x^2 - 5

f(x) = 0^2 - 5

f(x) = 0 -5

f(x) = -5

This gives us a vertex of (0,-5)

7 0
3 years ago
What is the common denominator of 1/a + 1/b in the complex fraction 1/a - 1/b over 1/a+1/b?
9966 [12]

Answer:

For this case we have the following fraction:

To find the common denominator, what we must do is rewrite the fraction.

For this, we subtract fractions in the numerator and the sum of fractions in the denominator.

We have then:

We observe that the common denominator is given by the product:

Answer:

the common denominator is:

D)ab

Step-by-step explanation:

4 0
2 years ago
What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20
shutvik [7]

<u>Given</u>:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

<u>Surface area of the triangular prism:</u>

The surface area of the triangular prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

SA=(42)(20)+(42+29+29)(16)

SA=840+(100)(16)

SA=840+1600

SA=2440

Thus, the surface area of the triangular prism is 2440 m²

8 0
3 years ago
Probability question, which I am stuck on!
son4ous [18]

Answer:

land on 3: 36 times

land on 4: 63 times

Step-by-step explanation:

A biased dice is the opposite of a fair dice.

A fair dice has the same probability of landing any of the six numbers: 1/6

The biased dice has different probabilities for its results.

To solve this question, first we need to find the probability of landing a 3.

The sum of all probabilities need to be 1, so:

0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1

p(3) = 1 - 0.88 = 0.12

If we roll the dice 300 times, the expected number of times the dice will land:

on 3: 300 * p(3) = 300 * 0.12 = 36 times

on 4: 300 * p(4) = 300 * 0.21 = 63 times

7 0
3 years ago
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