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grigory [225]
3 years ago
13

Suppose all the counting numbers are arranged in columns as shown at the right. Under what letter will the number 1000 appear?

Mathematics
1 answer:
pentagon [3]3 years ago
4 0
Letter D because you need to multiply all the letters of the alfabet (36) and multiply 36 by 1000 and then divide the answer by 100 and you get the letter D
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Write the following quotient in the form a+bi.<br> -7i/2-7i
Helga [31]

Answer:

\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}

Step-by-step explanation:

\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i

8 0
3 years ago
Read 2 more answers
Michael is using a drawing program to complete a construction. Which construction is he completing? A circle is drawn with two p
Varvara68 [4.7K]
The drawing shows a circle, with the two lines forming a cross assumed to be perpendicular to each other, so this is most likely to be a square, as the four points at which the perpendicular lines intersect with the circle can be connected to form a square.
We would need 3 points for an equilateral triangle, 5 for a pentagon, and 6 for a hexagon, which do not fit the current steps.

3 0
3 years ago
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What is the slope and y-intercept of y+3= -1/3
bazaltina [42]

Assuming this is written correctly, with no x in the equation, we just solve for y:

y = -3 - 1/3 = -10/3 = 0 x - 10/3

That's slope-intercept form.

Answer: Slope 0, y-intercept -10/3


5 0
3 years ago
Al's Produce Stand sells 8 ears of corn for $2.25. Barbara's Produce Stand sells 12 ears of corn for $3.50. Write two equations,
Gennadij [26K]

Answer:

6n = 1.50

and

13n = 3.12

Step-by-step explanation:

Here in this question, we are interested in writing equations that relate the number of ears of corn sold and the cost.For Al’s produce stand, let the price per corn sold be n

Thus;

6 * n = 1.50

6n = $1.50 •••••••(i)

For the second;

let the price per corn sold be n;

13 * n = $3.12

-> 13n = 3.12 •••••••••(ii)

3 0
2 years ago
Can someone please help
leonid [27]

Answers:

  • Lateral Area = No lateral area (choice D)
  • Surface Area = 25.97 square inches (choice E)
  • Volume = 12.44 cubic inches (choice A)

============================================

Explanation:

Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.

-----------------------

The radius is 1 & 7/16

Let's convert this to decimal form

1 & 7/16 = 1 + (7/16)

1 & 7/16 = 1 + 0.4375

1 & 7/16 = 1.4375

The radius is r = 1.4375 inches.

-----------------------

SA = Surface area the sphere

SA = 4*pi*r^2

SA = 4*pi*(1.4375)^2

SA = 25.9672267773281

SA = 25.97 square inches (choice E)

-----------------------

V = Volume of the sphere

V = (4/3)*pi*r^3

V = (4/3)*pi*(1.4375)^3

V = 12.4426294974698

V = 12.44 cubic inches (choice A)

8 0
3 years ago
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