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Law Incorporation [45]
3 years ago
15

Find the surface area of the right rectangular prisim

Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

46 units^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is

SA = 2(lw +lh+wh)  where l is length, w is width and h is height

SA = 2 (2.5* 4+ 2.5*2 + 4*2)

      = 2 (10+5+8)

       = 2( 23)

       = 46 units^2

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Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1
amm1812

Answer: y = -3(x + \frac{5}{6})² + \frac{37}{12}, (-\frac{5}{6}, \frac{37}{12})

<u>Step-by-step explanation:</u>

First, you need to complete the square:

y   = -3x² - 5x + 1

<u> -1  </u>   <u>                -1  </u>

y - 1 = -3x² - 5x

y - 1 = -3(x² + \frac{5}{3}x

y - 1 + -3(\frac{25}{36}) = -3(x² + \frac{5}{3}x + \frac{25}{36})

           ↑                     ↓            ↑

                                  \frac{5}{3*2} = (\frac{5}{3*2})^{2}

y - 1 - \frac{25}{12} = -3(x + \frac{5}{6})²

y - \frac{12}{12} - \frac{25}{12} = -3(x + \frac{5}{6})²

y  - \frac{37}{12} = -3(x + \frac{5}{6})²

y = -3(x + \frac{5}{6})² + \frac{37}{12}

Now, it is in the form of y = a(x - h)² + k   <em>where (h, k) is the vertex</em>

Vertex = (-\frac{5}{6}, \frac{37}{12})

8 0
3 years ago
1. What is the value of x? Show all of your work.
Colt1911 [192]
You can use the pathagorean theorm.
a^2 + b^2 = c^2
a^2 + 6^2 = \sqrt{117}^2
a^2 + 36 = 117
a^2 = 117 - 36
a^2 = 81
\sqrt{a^2} = \sqrt{81}
a = 9
x = 9
5 0
3 years ago
Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the f
Novay_Z [31]

Answer:

Type II error

Step-by-step explanation:

According to the definition of type II error, the type II error arises when we wrongfully accept the null hypothesis. It means that when we accept our null hypothesis and null hypothesis is not correct then type II error arises. So according to situation we are accepting the null hypothesis that the food is safe but it is actually not safe. Hence the given situation represents type II error.

7 0
3 years ago
What is the factored form of 36x4 – 25?
dalvyx [7]
(6x2 + 5) • (5 - 6x2)
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At the shelter,4% of the dogs are puppies.there are 1,675 dogs at the shelter.how many are puppies
VikaD [51]
The answer is 67 because you cross multiply 4/100 with x/1675 (:
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3 years ago
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