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4 years ago

What is the 14th term of the geometric sequence 1,000, 100, 10, 1, ...?

Mathematics

1 answer:

Yuki888 [10]4 years ago

4 0

Answer: Th answer is 1e-10

Step-by-step explanation:

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0.7 repeating as a fraction

docker41 [41]

7/10 46/100 5/10 4/10

8 0

3 years ago

The area of a room is 56 square feet. The width of the room is 7 feet. Of Alicia is going to put an animal wall border on all fo

motikmotik

Length of room = area / width

Length of room = 56/7 = 8 feet.

She will need 7 + 7 + 8 + 8 = 30 feet of border.

3 0

3 years ago

The manufacturer of a CD player has found that the revenue R (in dollars) is R(p)= -4p2+1200p, when the unit price is p dollars.

qaws [65]

Answer: 9000$

Step-by-step explanation:

Let 's use the formula to find the vertex of the parabola:

ax²+bx+c=0

$\displaystyle x_v=-\frac{b}{2a} \\\\ Where :\\\\ y_v- maximum \ \ income \\\\ y_v=a(x_v)^2+bx_v+c \\\\ Then \ in \ \ our \ \ case : \\\\ -4p^2+1200p =0 \\\\ x_v=-\frac{1200}{-4\cdot 2} =150 \\\\ y_v=-4\cdot (150)^2+150\cdot 1200 \\\\ y_v=150\cdot 1200-150\cdot 600 \\\\ y_v=600\cdot 150=\bf 9000 \$

4 0

3 years ago

kathryn bought an aquarium to replace her fishbowl.The directions for the aquarium say that it should be filled with 9 cubic fee

lesya [120]

The water should fill the aquarium to 1.5 feet

Solution:

Given that the directions for the aquarium say that it should be filled with 9 cubic feet of water.

This means volume of aquarium is 9 cubic feet

Given that aquarium is 2 feet wide and 3 feet long

To find: Height of aquarium

Since a aquarium is in shape of cuboid, we can use the volume of cuboid formula

<em><u>The volume of cuboid is given as:</u></em>

volume of cuboid = $l \times w \times h$

Where "l" is the length

w is the width

"h" is the height

Substituting the values, we get,

$9 = 3 \times 2 \times h\\\\9 = 6 \times h\\\\h = \frac{9}{6} = 1.5$

Thus the height of aquarium is 1.5 feet

7 0

3 years ago

Could anyone help with this question?

Nikitich [7]

Answer:

I just answered this question, In case you missed it, here it goes again:

Values for the coefficient in the product k:

$a=b=c=d=3*10^8$ , so the first four boxes should be filled with the number "3"

Drop down arrow: "does"

Step-by-step explanation:

We perform all the products of wavelength time frequency indicated for the column of the quantity "k":

$a$ = $1 * 10^{-10} * 3\, * 10^{18} = 3 * 10^{-10+18} = 3 * 10^{8}$ =

$b=1 * 10^{-1}*3*10^9=3* 10^{-1+9}=3*10^8$

$c=600*10^{-6}*5*10^{11}=3000*10^{-6+11}=3000*10^5=3*10^3*10^5=\\=3*10^{3+5}=3*10^8$

$d=4*10^{-7}*7.5*10^{14}=30.0*10^{-7+14}=30*10^7=3*10*10^7=\\=3*10^{1+7}=3*10^8$

Therefore, all products of these different wavelengths and their associated frequencies render the exact same answer : $3*10^8$ , which means that as one of these quantities increase, the other one will decrease in the same proportion to give the same numerical answer.

This means that the two quantities are associated via inverse proportionality. As seen in the equation below, if the quantities "x" and "y" are related by inverse proportionality (shown as one equals a constant "A" divided by the other variable), their product x*y will give that constant value "A" (which in our case is $3*10^8$ .

$x=\frac{A}{y} \\x*y=A$

8 0

3 years ago