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dolphi86 [110]
3 years ago
8

10 to the 6th power multiplied by what equals 10 to the 18th power

Mathematics
1 answer:
m_a_m_a [10]3 years ago
8 0
 
You're asking

            (10⁶) times (10^p) = 10¹⁸ .

When you multiply two numbers that have the same base
but different exponents, you just add the exponents.

So                                         6 + p = 18

Subtract 6 from each side:          p = 12 .

                 10⁶  x  10¹²  =  10¹⁸ .

                




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Find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches
aksik [14]
Minor base: b=19 inches
Height: h=12.6 inches
Major base: B=29.2 inches

Area of the trapezoid: A
A=(b+B)h/2
Replacing the values:
A=(19 inches + 29.2 inches) (12.6 inches) / 2
A=(48.2 inches) (12.6 inches) / 2
A= (607.32 inches^2 ) /2
A= 303.66 inches^2

Answer: The area of the trapezoid is 303.66 square inches
3 0
3 years ago
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julio says if you subtract 15 from my number and multiply the difference by -7, the result is -42 what is julio number
natali 33 [55]

Answer:

-10

Step-by-step explanation:

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3 years ago
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I swear this is not a quiz it's a lesson and I just finished the quiz and I got to 70
I am Lyosha [343]

Step-by-step explanation:

Any coordinates in the shaded area are solutions. Any coordinates on the line are not a solution due to it being dashed. Anything in the non-shaded area is also not a solution. You can always check if you are right by plugging in the numbers.

Example: (1, -2)

-2 < 0.5(1) + 2

-2 < 0.5 + 2

-2 < 2.5

True, -2 is less than 2.5.

Another Example: (-2, 1)

1 < 0.5(-2) + 2

1 < -1 + 2

1 < 1

False, 1 is not less than itself.

4 0
3 years ago
The sales tax rate in the state of New York is 8.875. If you buy a pair of shoes for 56.00, how much tax would you pay?
BabaBlast [244]

Answer:

4.97

Step-by-step explanation:

5 0
3 years ago
The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th
inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4   -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

y(y-2)=100

y^2-2y=100

subtracting 100 from both sides

y^2-2y-100=0

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

ax^2+bx+c=0

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

Solving first

y=\frac{2+\sqrt{4+400}{2}

y=\frac{2+\sqrt{404}{2}

y=\frac{2+20.099}{2}

y=\frac{22.099}{2}

y=11.049

Solving second one

y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

y=\frac{2-\sqrt{4+400}{2}

y=\frac{2-\sqrt{404}{2}

y=\frac{2-20.099}{2}

y=\frac{-18.99}{2}

y=-9.045

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

4 0
3 years ago
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