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iragen [17]
2 years ago
14

37. Apply Math Models A city planning

Mathematics
1 answer:
Oksana_A [137]2 years ago
7 0

Answer: Yes, because the total height will be 185 ft, which is less than the 310 ft limit.

Step-by-step explanation:

20+(15)(11)=185 < 310

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Write an equation for the cubic polynomial functior
d1i1m1o1n [39]

So, the cubic polynomial function is x^3-10x^2+31x-30=0

No, none of the roots have multiplicity.

Step-by-step explanation:

We need to write an equation for the cubic polynomial function

whose graph has zeroes at 2, 3, and 5.

Zeros mean:

x=2, x=3 and x=5

or

x-2=0, x-3=0 and x-5=0

Multiplying all the factors:

(x-2)(x-3)(x-5)=0\\(x-2)(x(x-5)-3(x-5))=0\\(x-2)(x^2-5x-3x+15)=0\\(x-2)(x^2-8x+15)=0\\x(x^2-8x+15)-2(x^2-8x+15)=0\\x^3-8x^2+15x-2x^2+16x-30=0\\x^3-8x^2-2x^2+15x+16x-30=0\\x^3-10x^2+31x-30=0\\

So, the cubic polynomial function is x^3-10x^2+31x-30=0

No, none of the roots have multiplicity, A root has multiplicity if it appears more than 1 time. Like if (x-1)^2 is a root then 1 has multiplicity 2

Keywords: Polynomial Function

Learn more about Polynomial Function at:

  • brainly.com/question/1414350
  • brainly.com/question/1464739
  • brainly.com/question/2568692

#learnwithBrainly

6 0
3 years ago
A solid object is dropped into a pond with a temperature of 20 degrees Celsius. The function f(t)=Ce(−kt)+20 represents the situ
LenaWriter [7]

Answer:

The initial temperature of the object was 37.6 degrees Celsius

The initial temperature of the object was 37.6 (without units)

Step-by-step explanation:

we have

f(t)=Ce^{(-kt)} +20

where

f(t) represent the temperature of the object in degree Celsius

t is the time in minutes

<em>Find the value of the constant C</em>

we have the ordered pair (4,35)

substitute in the equation and solve for C

35=Ce^{(-0.0399*4)} +20

Ce^{(-0.0399*4)}=15

C=15/e^{(-0.0399*4)}

C=17.6

Find the initial value of the object

we know that

The initial temperature is the value of f(t) when the value of t is equal to zero

so

For t=0

f(0)=(17.6)e^{(-k*0)} +20

f(0)=17.6 +20

f(0)=37.6\ degrees\ Celsius

therefore

The initial temperature of the object was 37.6 degrees Celsius

The initial temperature of the object was 37.6 (without units)

3 0
3 years ago
tina’s preschool has a set of cardboard building blocks, each of which measures 9“ x 9“ x 4“. How many of these blocks will Tina
Leokris [45]
180.
4•9=36, and 36•9 is 324. 4•3 is 12, while 12•12 is 144.
324 - 144 = 180. I hope this helps!
5 0
3 years ago
Shania and Pedro are discussing whether it is always possible to solve a right triangle, given enough information, without using
Makovka662 [10]

Answer: Shania is correct.

Step-by-step explanation:

For a right angled triangle, given two sides and an angle, we can use the sine rule or the various trigonometry identities to solve the triangle;

a/sin A = b/sinB

and

sin (angle) = opposite side/hypotenuse

cos (angle) = adjacent side/hypotenuse

tan (angle) = opposite/ adjacent

assuming a is the opposite side of angle A and b is also opposite of angle B

Otherwise, the only way to solve a triangle given two sides only is by the use of the Pythagoras theorem.

Hence, Shania is correct.

7 0
3 years ago
A square has an area of 1,156 square inches. What is the perimeter of the square?
notsponge [240]

Answer:

136 in

Step-by-step explanation:

Area = 1,156 in² = side x side

Side = √1,156 = 34 in

Perimeter = 4 x side = 4 x 34 = 136 in

5 0
3 years ago
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