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xeze [42]
2 years ago
12

The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents

the year. Which is the best prediction for the number of new cases in year 15? A. 194 B. 96 C. 328 D. 614
Mathematics
1 answer:
nirvana33 [79]2 years ago
3 0

Since x represents the year, year 15 will be 15 years.

Plug in "15" as your "x"

y = -2(15)^2 + 36(15) + 6

15^2 = 225 (Exponents come before multiplication)

y = -2(225) + 36(15) + 6

y = -450 + 540 + 6

y = 90 + 6

y = 96

<em>The answer is B</em>

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Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right
Novay_Z [31]

Answer:

AB = √18 , BC=√18 and CA =4

AB²+BC²  = CA² and AB=BC

ΔABC isosceles right  angled triangle.

Step-by-step explanation:

Given vectors are  7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k

A( 0,7,10), B( -1,6,6) C(-4,9,6)

AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k

AB = \sqrt{1+1+16} = \sqrt{18}

BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j

BC=\sqrt{9+9} =\sqrt{18}

CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k

CA = \sqrt{16+4+16} =\sqrt{36} =4

Since AB²+BC²  = CA²

And AB=BC

Therefore it follows that ΔABC is a right angled isosceles triangle



3 0
2 years ago
a regular heptagon has a radius of approximately 27.87cm and the lengthof each side is 24.18cm. what is the approximate area of
Andre45 [30]
The Answer is B: 2,125 cm²


n = 7
a = 24.18 cm
r = 25.1051 cm
R = 27.8646 cm
A = 2124.65 cm²
P = 169.26 cm
x = 128.571 °
y = 51.4286 °


Agenda:
r = inradius (apothem)
R = circumradius 
a = side length
n = number of sides
x = interior angle
y = exterior angle 
A = area
P = perimeter
π = pi = 3.14159...
<span>√ = square root
</span>
Formula: A = (1/4)na2 cot(π/n) = nr2 tan(π/n)
3 0
2 years ago
Read 2 more answers
Rex walks 3 1/7 km in 1 1/4 hours. At the same speed , how long will he go in one hour? Simplify your answer and write it as a p
Llana [10]
She walks 22/7 km in 5/4 hrs, so she walks (22/7)/(5/4) km, or 88/35 (2_18/35) km, in 1 hr.
7 0
2 years ago
Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at
pishuonlain [190]

Answer:

t = 0.53 hr

Step-by-step explanation:

We write expressions for the distances walked by these two people, sum them up and set the sum equal to 4 miles:

(3.5 mph)(t) + (4mph)(t) = 4 mi

Combining these terms:  

(7.5 mph)(t) = 4 mi

                               4 mi

Solving for t:  t = ---------------- = 0.53 hr

                              7.5 mph                              

5 0
1 year ago
A grocery sold 5kg of wheat flour at Rs30 per kg and gained 20%. If he had sold it at Rs27 per kg, what would be his gain or los
maria [59]

Answer:

His gain percent would have been 8%

Step-by-step explanation:

The key to answering this question is to first calculate the price at which the wheat flour was bought.

Mathematically;

% profit = (selling price-cost price)/cost price * 100%

Let the cost price be $x

Thus;

% profit = (30-x)/x * 100

20 = 100(30-x)/x

20x = 3000-100x

100x + 20x = 3000

120x = 3000

x = 3000/120

x = Rs 25

So let’s assume he sold at Rs 27

His profit would have been 27-25 = 2

His gain or loss percentage would’ve been;

2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)

3 0
2 years ago
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