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Volgvan
3 years ago
14

11. In how many ways can a 5-question multiple choice quiz be

Mathematics
2 answers:
kvv77 [185]3 years ago
7 0
5 questions times 4 choices = 20 possibilities. However you should never leave anything blank because even a guess can possibly be the right answer
hichkok12 [17]3 years ago
4 0

Answer: yes if you want to look lazy

So noo you can't

Step-by-step explanation:

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A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:
Kryger [21]

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

y=-0.0625x^2+1.25x+5.75

Differentiating with respect to x we get

\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25

Equating with zero

0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10

Double derivative of the equation

\dfrac{d^2y}{dx^2}=-0.125

So, the function is maximum at x=10

y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12

The function is maximum at (10,12)

So, the truck's center should be below the point (10,12) for maximum width to pass through.

Now truck is 11 feet tall so y=11

11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14

The maximum width of the truck can be 14-6=8\ \text{ft} if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

5 0
2 years ago
Rectangle A has a side length of 6 cm and 3.5 cm. The side length of rectangle B are proportional to the side lengths of a recta
mr Goodwill [35]

Answer:

A) 3cm and 1.75cm

Step-by-step explanation:

To determine whether or not these are proportional, take the two side lengths that are given and create a ratio. 6cm:3.5cm. I suggest writing this in fraction form to better see the equivalency. If you divide both 6cm and 3.5 cm by 2, you create an equivalent ratio of 3 cm:1.75cm. This is answer A. There is another correct answer too! If you take 6cm:3.5cm and multiple both by 1.5, it will create an equivalent ratio of 9cm:5.25 cm (answer choice E), just in a different order.

7 0
2 years ago
Need help plzzzzz need it
Deffense [45]

Answer:

  • 1/4

Step-by-step explanation:

<u>From the graph we can get the intercepts:</u>

  • The y-intercept (0, - 1)
  • The x-intercept (4, 0)

<u>The rate of change (slope) is:</u>

  • m = (0 - (-1)) / 4 = 1/4
8 0
1 year ago
Cassidy has saved $8,000 this year in an account that earns 9% interest annually. Based on the rule of 72, it will take about ye
den301095 [7]

Answer:

The number of years in which saving gets double is 8 years .

Step-by-step explanation:

Given as :

The principal amount saved into the account = p = $8,000

The rate of interest applied = r = 9%

The Amount gets double in n years = $A  

Or, $A = 2 × p = $8,000 × 2 = $16,000

Let the number of years in which saving gets double = n years

Now,<u> From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, 2 × p = p × (1+\dfrac{\textrm r}{100})^{\textrm n}

Or, $16,000 = $8,000 × (1+\dfrac{\textrm 9}{100})^{\textrm n}

Or, \dfrac{16,000}{8,000} = (1.09)^{n}

Or, 2 = (1.09)^{n}

Now, Taking Log both side

Log_{10}2 = Log_{10} (1.09)^{n}

Or, 0.3010 = n × Log_{10}1.09

Or, 0.3010 = n × 0.0374

∴ n = \dfrac{0.3010}{0.0374}

I.e n = 8.04 ≈ 8

So, The number of years = n = 8

Hence, The number of years in which saving gets double is 8 years . Answer

8 0
2 years ago
Factor. Check by multiplying<br> 2a - 14 = ?
SIZIF [17.4K]

Answer: 2a - 14 = 2(a - 7)

Step-by-step explanation:

Because 2•a = 2a and 2•-7= -4 therefore, the answer is 2(a - 7).

4 0
3 years ago
Read 2 more answers
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