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Alecsey [184]
1 year ago
15

Simplify -3d^-8(-4d^-14)

Mathematics
2 answers:
Brut [27]1 year ago
7 0

Answer:

\large\boxed{12d^{-22}=\dfrac{12}{d^{22}}}

Step-by-step explanation:

(-3d^{-8})(-4d^{-14})=\bigg((-3)(-4)\bigg)\bigg((d^{-8})(d^{-14})\bigg)\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=12d^{-8+(-14)}=12d^{-22}

\text{You can use}\ a^{-n}=\dfrac{1}{a^n}\\\\12d^{-22}=12\cdot\dfrac{1}{d^{22}}=\dfrac{12}{d^{22}}

Lunna [17]1 year ago
7 0

Answer:

12 / d^22.

Step-by-step explanation:

-3d^-8(-4d^-14)

= (-3*-4) d^(-8+-14)

= 12d^-22

= 12 /d^22.

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A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
kondor19780726 [428]

Answer: The number of different combinations of 2 vegetables are possible = 15 .

Step-by-step explanation:

In Mathematics , the number of combinations of selecting r values out of n values = ^nC_r=\dfrac{n!}{r!(n-r)!}

Given : Number of available vegetables = 6

Then, the number of different combinations of 2 vegetables are possible will be :

^6C_2=\dfrac{6!}{2!(6-2)!}=\dfrac{6\times5\times4!}{2\times4!}=15

Hence , the number of different combinations of 2 vegetables are possible = 15 .

5 0
2 years ago
Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds
svetlana [45]

Answer:

Yes, but it is not linear. It is exponential :  f(x) = 5\cdot 2^{x-1}

Step-by-step explanation:

On the first day we have 5 bacteria.

On the second day we will have 5*2 = 10 bacteria.

On the third day we will have 10*2 = 5*2*2 = 5*2^2 = 20 bacteria.

On the fourth day we will have 20*2 = 5*2*2*2 = 5*2^3 = 40 bacteria.

We can see that

                                                f(x) = 5\cdot 2^{x-1},

where x is a number of days and f(x) gives us the number of bacteria.

4 0
2 years ago
A map shows the town where Niko lives. The actual distance from Niko's house to his school is 3 miles, and measures one-half inc
katrin2010 [14]

Answer:

<u>The distance of the library in the map is 0.67 inches (Rounding to two decimal places)</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Scale factor for the map of the town = 0.5 inches: 3 miles

Distance from Niko's house to his school = 3 miles

Distance from Niko's school to the library = 4 miles

2. Let's find the distance of the library in the map

Distance of the library in the map = Distance of the library * Scale factor

Distance of the library in the map = 4 miles * 0.5 inches:3 miles

Distance of the library in the map = (2 miles * inches)/3 miles

Distance of the library in the map = 2 inches/3 (Miles are cancelled in the numerator and in the denominator)

<u>Distance of the library in the map = 0.67 inches (Rounding to two decimal places)</u>

3 0
2 years ago
Read 2 more answers
What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b
Leviafan [203]
.04b is 2% of 2b because .04 multiplied by 100 is 4 then you divide by 2 which gets you 2.
.04/2=x/100
cross multiply and divide
it is 98% smaller than 2b.

.2b is 10% of 2b because .2 multiplied by 100 is 20 then you divide by 2 and get 10.
.2/2=x/100
it is 90% smaller than 2b.

.56b is 28% of 2b because .56 multiplied by 100 is 56 then divide by 2 and you get 28.
.56/2=x/100
it is 72% smaller than 2b.

1.8b is 90% of 2b because 1.8 multiplied by 100 is 180 then divide it by 2. you get 90.
1.8/2=x/100
it is 10% smaller than 2b.

2.5b is 125% of 2b because 2.5 multiplied by 100 Is 250 and 250 divided by 2 is 125.
2.5/2=x/100
it is 25% larger than 2b

3b is 150% of 2b because 3 multiplied by 100 is 300 and 300 divided by 2 is 150.
3/2=x/100
it is 50% larger than 2b

7 0
2 years ago
Read 2 more answers
mark has a cabinet door in his kitchen with the dimensions shown below. he creates a scale drawing where the width of the cabine
laiz [17]

Answer:

h^{*} = 25\,in

Step-by-step explanation:

Let consider that door has a height of 5 feet and a width of 3 feet. The scale factor is:

n = \frac{15\,in}{3\,ft}

n = 5\,\frac{in}{ft}

The height of the cabinet is:

h^{*} = n \cdot h_{door}

h_{*} = \left(5\,\frac{in}{ft}  \right)\cdot (5\,ft)

h^{*} = 25\,in

6 0
2 years ago
Read 2 more answers
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