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3 years ago

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Find missing number from letter n ! Please

1 answer:

Ira Lisetskai [31]3 years ago

5 0

Answer:

1. n= 20 /13

2. n=10

3. n=35

4. n=9

That's all I could do, I got tired of typing lol

Step-by-step explanation:

1. 4/n=13/5 we cross multiply, (4)*(5)=13*n, 20=13n Flip the equation. 13n=20, divide 13 on both sides, 13n/13=20/13, n= 20 /13

2. 9/6= 15/n, we cross multiply 9*n=(15)*(6), 9n=90, Divide both sides by 9. 9n/9=90/9 n=10

3. 28/4=n/5 Cross-multiply, (28)*(5)=n*(4), 140=4n Flip the equation.4n=140 Divide both sides by 4. 4n/4=140/4 n=35

4. n/6=6/4 we cross multiply,n*(4)=(6)*(6), 4n=36, Divide both sides by 4 4n/4=36/4. n=9

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Four more than a number is 27

son4ous [18]

Answer:

23 is the answer of the question

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3 years ago

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The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth

Art [367]

Answer:

a) $N_0=250\; k=0.15$

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies $t=0$ . And $N(0)=N_0$ . The process is:

$N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250$

b) After 2 days means $t=48$ . So, we just replace and operate:

$N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}$

c) $N(t_1)=4000; \;t_1=?$

$N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\ \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h$

d) $t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)$

$N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h$

6 0

3 years ago

Help, how would I get my answer for this question?

Maslowich

Answer:

$(-4,32)$

Step-by-step explanation:

Given points are $(-1,-8)$

And given transformation is $D_4$ $r_{x-axis}$

We will start from left to right.

First transformation is reflection about x-axis.

When we reflect about x-axis $(x,y)\ became\ (x,-y)$

So, $(-1,-8)=[-1,-(-8)]=(-1,8)$

Now next transformation is dilation with a factor 4.

If we do dilation with a factor $'k'$ to the point $(x,y)$

New co-ordinates after dilation became $(kx,ky)$

So, $(-1,8)\ became\ (-4,32)$

8 0

3 years ago

1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?

valentina_108 [34]

1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:

y-6 = ⅓x - 1
y = ⅓x + 5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

3 = ⅓(6) + 5 -> 3 = 7, which is false.
6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
-3 = ⅓(-3) + 5 -> -3 = 4, which is false.
3 = ⅓(-6) + 5 -> 3 = 3, which is true.

So, the answer is (4) (-6, 3)

2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:

y - 5 = 0.75x - 1.5
y = 0.75x + 3.5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

8 = 0.75(6)+3.5 -> 8 = 8, which is true.
9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
2 = 0.75(6) + 3.5 -> 2 = 8, which is false.

So, the answer is (1) (6, 8).

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2 years ago

The expression once The left side of an equation is shown below. 3(x+1)+9 if the equation has no solution which expression can b

lys-0071 [83]

<h3>Answer:</h3>

C. 4(x-3)-x

<h3>Step-by-step explanation:</h3>

All of the given expressions are equivalent to 3x+12 except selection C. Using that in your equation makes it be ...

... 3(x +1) +9 = 4(x -3) -x

... 3x +12 = 3x -12

... 12 = -12 . . . . . <em>false</em>

There is no value of x that will make this true, hence NO SOLUTION.

_____

<em>Comment on the other choices</em>

3x+12 = 3x+12 has an <em>infinite number of solutions</em>, as <u><em>any</em></u> value of x will make this true.

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3 years ago

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