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Sloan [31]
3 years ago
12

Solve the equation by taking square roots. Problem: 8b^2-7=-76

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:

b = +5

Step-by-step explanation:

8b^2=193+7

8b^2=200

b^2= 200/8

b^2=25

b=√25

b=+5

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If you draw a card with a value of 4 or less from a standard deck of cards, I will pay you 165$ if not your pay me $45. (Aces ar
jekas [21]

Answer: The required expected value is $3.46.

Step-by-step explanation:

Since we have given that

Number of value of 4 or less are

2,3,4

So, there are 12 in numbers.

So, probability would be

\dfrac{12}{52}

Since Aces are considered as the highest card in the deck.

So, remaining probability would be

\dfrac{40}{12}

Amount paid or value of 4 or less = $165

Amount not paid for other case = $45

So, the expected value would be

\dfrac{12}{52}\times 165-\dfrac{40}{52}\times 45\\\\=\dfrac{1980}{52}-\dfrac{1800}{52}\\\\=\dfrac{180}{52}\\\\=3.46

Hence, the required expected value is $3.46.

7 0
3 years ago
a famer has 120 feet of fencing with whcih to enclose two adjacent rectangular pens as shown. what dimeensions should be used th
Nat2105 [25]

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Let the area be y .

Area = (base) × (height)

Base = 2x

Height = h

Let the area of the rectangular pens be y .

∴ y = 2xh

Perimeter of all the fencing = 4x+3h

∴ 4x+3h = 120

now we solve for h

3h = 120-4x

h = 40 - 4/3 x

Now we will substitute this value in the above first equation:

y = 2xh

or, y = 2x (40 - 4/3 x)

or, y = 80x - 8/3 x²

Now for the maximum area we have to find the first order differentiation of y

now,

dy /dx = 80 - 16/3 x

At dy/dx = 0 we get the value of x for which y is maximum.

80 - 16/3 x = 0

or, - 16/3 x = -80

or, x = 15 feet

Hence height =  40 - 4/3 x = 40 - 20 = 20feet

Maximum area = 2xh = 2×15×40 = 1200 square feet

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Disclaimer : The missing figure for the question is attached below.

To learn more about area visit:

brainly.com/question/27531272

#SPJ4

6 0
1 year ago
11) x – 3y = 3<br> How do you graph it?
kvv77 [185]

Hey!

------------------------------------------------

x – 3y = 3 is written in standard form. We can write in the slope-intercept form.

x - 3y = 3

x - 3y - x = 3 - x

3y = 3 - x

3y/3 = 3/3 - 3/x

y = 1 - 3/x

y = 1/3x - 1

Now, we know that the y-intercept is -1 and the slope is 1/3

------------------------------------------------

Hence, the answer is \Large\boxed{\mathsf{In~picture}}

------------------------------------------------

Hope This Helped! Good Luck!

8 0
3 years ago
Help please homework due tomorrow and I don't know how to do this
Furkat [3]
Number 1 is 0.2 and 0.4
number 2 is 0.53 and 0.56
number 3 is on the 0.3
number 4 is 1/3
number 5 is a little bit before the 0.7 mark
number 6 is 62/100
4 0
3 years ago
Read 2 more answers
The scatter plot shows the number of stamps Katie collected in different months:. . Plot ordered pairs 1, 30 and 2, 70 and 3, 11
Virty [35]
The sequence:
a 1 = 30,  a 2 = 70,  a 3 = 110,  a 4 = 150,  a 5 = 190,...
a 2 = a 1 + d
70 = 30 + d
d = 70 - 30 = 40
a n = a 1 + ( n - 1 ) * d
For the 25th month:
a 25 =  30 + 24 * 40 = 30 + 960 = 990
Answer: B ) 990.
3 0
3 years ago
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