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aksik [14]
3 years ago
6

A certain bacterial culture is multiplying in a culture dish, doubling in size every 6 minutes. It takes exactly an hour to fill

the whole dish. How long does it take to fill half the dish?
a. 54 minutes
b. 48 minutes
c. 30 minutes
d. 36 minutes
Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0
1 hours to fill the dish
for 1/2 of the dish
think
1/2 times 2=2/2=1 so therefor it takes 1 less doubling so

60 mins
1 less double
(double is 6 mins so )
60-6=54
the answe ris 54 mins or a
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Jenna has at most $80 to spend on clothes. She wants to buy a pair of jeans for$22 and spend the rest on t-shirts. Each t-shirt
weqwewe [10]

Answer:

7 shirts

Step-by-step explanation:

You first have to subtract 22 from 80, since that's how much she already spent, 80-22=58. Now you have to do 58/8, but since 8 doesn't divide evenly into 58, you have to go with the closet multiple of 8 which would be 56. 7x8=56, so Jenna can buy a maximum number of 7 shirts.

5 0
3 years ago
The coordinate plane has the following points A=(2, 1), B=(5, 1), C=(7,2), and 1 point
dusya [7]

Answer:

<em>d = 3</em>

Step-by-step explanation:

Coordinate Plane

The image provided shows the four points given:

A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).

It can be clearly seen the length of CD is just the difference of their x-coordinates:

CD = 7 - 4 = 3

We can also use the formula of the distance.

Given two points C(x,y) and D(w,z), the distance between them is:

d=\sqrt{(z-y)^2+(w-x)^2}

d=\sqrt{(2-2)^2+(7-4)^2}

d=\sqrt{0^2+3^2}

d=\sqrt{9}

d = 3

3 0
3 years ago
Find the taylor polynomial t3(x) for the function f centered at the number
inysia [295]

Answer:

t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{12}(x-1)^3

Step-by-step explanation:

We are given that

f(x)=7tan^{-1}(x)

a=1

T_n(x)=\sum_{r=0}^{n}\frac{f^r(a)(x-a)^r}{r!}

Substitute n=3 and a=1

t_3(x)=f(1)+f'(1)(x-1)+\frac{f''(1)(x-1)^2}{2!}+\frac{f'''(1)(x-1)^3}{3!}

f(x)=7tan^{-1}(x)

f(1)=7tan^{-1}(1)=7\times \frac{\pi}{4}=\frac{7\pi}{4}

Where tan^{-1}(1)=\frac{\pi}{4}

f'(x)=\frac{7}{1+x^2}

Using the formula

\frac{d(tan^{-1}(x))}{dx}=\frac{1}{1+x^2}

f'(1)=\frac{7}{2}

f''(x)=\frac{-14x}{(1+x^2)^2}

f''(1)=-\frac{7}{2}

f''(x)=-14x(x^2+1)^{-2}

f'''(x)=-14((x^2+1)^{-2}-4x^2(x^2+1)^{-3}})

By using the formula

(uv)'=u'v+v'u

f'''(x)=-14(\frac{x^2+1-4x^2}{(1+x^2)^3}

f'''(x)=(-14)\frac{-3x^2+1}{(1+x^2)^3}

f'''(1)=-14(\frac{-3(1)+1}{2^3})=\frac{7}{2}

Substitute the values

t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{2\times 3\times 2\times 1}(x-1)^3

t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{12}(x-1)^3

7 0
3 years ago
Find an equation of a line that has a slope 7 and passes through the point 3,11
choli [55]
You’re given that m=7 (slope is 7), so setup the slope-intercept form with that info: y = 7x + b.

Now you need to find b. Plug in (3,11) for x and y, x=3 and y=11.

11 = 7*3 + b

Notice the only variable left is b, so you’ll find b this way.

11 = 21 + b and then subtract 21 from both sides:

11 - 21 = b

-10 = b

Plug that back into the equation and you have y = 7x -10
5 0
3 years ago
WILL GIVE BRAINLIEST!!
allochka39001 [22]

1. is D) 4/3    To find the slope we will insert the numbers into this formula: y2 - y2 / x2 - x1, so... 1 + 3/ 1 + 2 (the negatives canceled each other out)

now simplify and it becomes 4/3

so ur answer to 1. is D) 4/3

2. Plot this one...it rly helps...then use the slope to find the point ur looking 4, the answer is C) -2

3. The answer is B) -2

Hope that helps u out!! :)



6 0
3 years ago
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