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3 years ago

Real world situation for 834+14s>978-10s

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

834+14s=848>978-10s=968

a real life situation for that could be like how many apples 848apples/968total

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A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation

bearhunter [10]

Answer:

It will take 26.34 minutes for the population to reach 5 times its initial value

Step-by-step explanation:

Exponential Growing

The population of bacteria grows at a rate expressed by the equation:

$f(t)=256e^{0.06111t}$

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

$f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256$

Now we find the time when the population is 5*256=1,280. The equation to solve is:

$1,280=256e^{0.06111t}$

Dividing by 256:

$e^{0.06111t}=1,280/256=5$

Taking natural logarithms:

$ln\left(e^{0.06111t}\right)=ln5$

Applying the logarithm properties:

$0.06111t=ln5$

Solving for t:

$t=ln5/0.06111=26.34$

It will take 26.34 minutes for the population to reach 5 times its initial value

6 0

4 years ago

Select the correct product. (x2 + 6x + 9)(3x - 1) 3x3 + 17x2 + 21x - 9 3x3 - 17x2 - 21x - 9 3x3+ 19x2 + 27x + 9 3x3+ 19x2 + 9x -

charle [14.2K]

3x^3 + 17x^2 + 21x - 9

this is the correct answer for this problem.

5 0

4 years ago

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Which shows the image of quadrilateral ABCD after the transformation R0, 90°?

avanturin [10]

Answer:

A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)

Step-by-step explanation:

The coordinates of rectangle ABCD are A(-1,0), B(0,-1), C(-2,-3), (-3,-2).

The mapping for a rotation through 90° clockwise about the origin is

$(x,y)\to ( - y,x)$

Therefore:

$A(-1,0)\to A'(0,-1)$

$B(0,-1)\to B'(1,0)$

$C(-2,-3)\to C'(3,-2)$

$D(-3,-2)\to D'(2,-3)$

Therefore the image rectangle has coordinates:

A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)

The first choice is correct.

4 0

3 years ago

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In the following figure lines j and k are parallel and are cut by transversal t Thanks

Sedbober [7]

angle 1 and angle 7 are alternate exterior angles.

angle 1 and angle 5 are corresponding angles.

angle 3 and angle 8 are same side interior angles.

angle 2 and angle 8 are alternate interior angles.

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3 years ago

What is the perimeter of a rectangle that is 3 and 1/2 yards by 5 & a half yards

docker41 [41]

A = lw
A = (3 1/4)*(2 1/2) A = (13/4)*(5/2) A = 65/8 A = 8 1/8 ft3

5 0

4 years ago

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