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3 years ago

The total number of pennies on Row 1 is: 1 2 4 8 16 32 64 128 =.

Mathematics

1 answer:

stira [4]3 years ago

8 0

The pennies placed on the squares D, E, F, G, and H will be 8, 16, 32, 64, and 128 pennies.

Given

There are 8 rows and 8 columns, which means 64 squares on a chessboard.

We are placing 1 penny on Row 1 Column A, 2 pennies on Row 1 Column B, 4 pennies on Row 1 Column C, and so on.

<h3>What is the matrix?</h3>

A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

So, we are increasing the number of pennies twice the amount of the previous square.

So, the pennies on next squares will be,

$\rm Column \ D = 2\times 4=8\\\\Column \ E = 2\times 9=16\\\\Column \ F= 2\times 16=32\\\\Column \ G= 2\times 32=64\\\\Column \ H = 2\times 64=128$

Therefore, the pennies placed on the squares D, E, F, G, and H will be 8, 16, 32, 64, and 128 pennies.

For more details about the matrix refer to the link:

brainly.com/question/4492099

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The cost of six hens and one duck at the university poultry farm is GH₵40. While four hens and three ducks cost GH₵36. What is t

Anon25 [30]

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

3 0

4 years ago

Please help!!!! <br><br> If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Black_prince [1.1K]

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

$f(1) = 2$

Now, we find f(2) in function of f(1). So

$f(1+1) = f(1)^2 - 3$

$f(2) = f(1)^2 - 3 = 2^2 - 3 = 1$

Now, with f(2), we can find the value of f(3).

$f(2+1) = f(2)^2 - 3$

$f(3) = f(2)^2 - 3 = 1^2 - 3 = -2$

The value of f(3) is -2.

4 0

3 years ago

F(x) = 9(9 + x)(10) <br>f(5) = ?

natima [27]

<h2>♪Answer : </h2>

»f(x) = 9(9 + x)(10)

subtitute x = 2 for f(x).

»f(5) = 9(9 + 5)(10)

»f(5) = 9(14)(10)

»f(5) = 1,260✅

4 0

3 years ago

Read 2 more answers

A linear function that represents the number of hot dogs purchased at a football game is compared to a different linear function

Vsevolod [243]

Answer:

Key features: the functions can not be parallels, this means that their respective slopes can not be equal or multiple to the other

Step-by-step explanation:

Take for instance 2 linear functions, and

If they intersect in some point in the space, say that is

Then (x1,y1)=(x3,y3), (x2.y2)= (x3,y3)

So, we can compare the two functions and get the following result;

It tells us that if M=m, we get an error, meaning that the functions are in fact parallels and there is no way that they meet in some point.

hope this helps!

5 0

3 years ago

The measure of angle 1 is (3x + 10)° and the measure of angle 4 is (4x – 15)°. What is the measure of angle 7

jasenka [17]

Your answer will be 95 degrees. (3x+10)=(4x-15) ends up with x=25. Plug it in to (3x+10). You should get 85 degrees. Using the definition of supplementary angles, angle 3 will be 95. Angle 7 and angle 3 are corresponding angles.

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3 years ago