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3 years ago

Construct a square with sides each 6.5cm long

Mathematics

2 answers:

Alenkasestr [34]3 years ago

7 0

here's the square

the area is: 42.25 cm^2

the perimeter is: 26 cm

good luck

bulgar [2K]3 years ago

7 0

Yes he correct that’s answer (;

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The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is

antoniya [11.8K]

Answer:

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

$N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40$

$N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40$

$N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1$

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

$8019 = 1408t^2 - 385.6t - 105.52$

$1408t^2 - 385.6t - 8124.52 = 0$

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0

3 years ago

What is the simplified form of expression -4xy/3x

DiKsa [7]

Answer:

(-4/3)y

Step-by-step explanation:

The x cancels out, leaving:

-4y/3 or (-4/3)y

7 0

3 years ago

Which expression is equal to 5^4 x 5^8 ? A: 5^12 B: 5^4 C: 5^2 D: 5^−4

galben [10]

Something to remember is how to multiply terms with same bases, but different exponents:

$a^b \cdot a^c = a^{(b+c)}$

Essentially, we add the exponents.

Using the information above, we can find our answer:

$5^4 \cdot 5^8 = 5^{(4+8)} = \boxed{5^{12}}$

Our answer is $\boxed{5^{12}}$ , or A.

6 0

2 years ago

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PLEASE HELP 13 POINTS

aalyn [17]

Circumference of circle = π × Diameter

= π × 18 cm

= 56.54867 or 56.54 to 1 dp

3 0

3 years ago

Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?

d1i1m1o1n [39]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

4 0

2 years ago

Read 2 more answers