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3 years ago

5+5 and 4 with a side of 3

Mathematics

2 answers:

Mumz [18]3 years ago

6 0

Answer:

10 and 3/4??

High Hopes

Barry-

Lisa [10]3 years ago

5 0

5+5 = 10
But what do you mean 4 with a side of 3? Do you mean exponent 3?

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A cat chases a mouse. The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route

Darya [45]

The cat will take 0.8 seconds to catch up with the mouse

Step-by-step explanation:

Given:

The distance between the cat and the mouse = 4 feet

cat's speed = 17 feet per second.

mouse's speed = 12 feet per second

To Find:

how long will it take the cat to catch up with the mouse = ?

Solution:

We know that

distance = speed x time

Rewriting the equation for time we get

time = $\frac{distance }{speed}$

now we know that distance is 4 feet

and the speed is 17 -12 = 5 feet per second

Thus the time is

= $\frac{4}{5}$

= 0.8 seconds

4 0

3 years ago

1. A chord is 22 cm long. It is 60 cm from the center of the circle.

mezya [45]

Answer:

Radius, r = 61 cm

Step-by-step explanation:

According to the attached figure, we have,

Length of chord, AB = 22 cm

Such that, AP = PB = 11 cm

OP = 60 cm

It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,

$r^2=60^2+11^2\\\\r=61\ cm$

So, the radius of the circle is 61 cm.

3 0

3 years ago

Royce is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled

Alisiya [41]

The input value is the number of times you fold it. The input value is also known as the x-value.
The output value is its thickness. The output value is the y-value.

When you don't fold it all, the thickness will remain the same, which is 2. The ordered pair would be (0, 2).

When you fold it once, the thickness will double from 2 to 4. The ordered pair would be (1,4).

When you fold it a second time, the thickness will double from 4 to 8. The ordered pair would be (2,8).

Fold it one more time, and the thickness will be 16. The ordered pair is (3,16)

Fold it the fourth time, and the thickness doubles. 16 x 2 = 32 The ordered pair is (4, 32)

Fold it the fifth time, and the thickness goes from 32 to 64. The ordered pair is (5,64)

The ordered pairs would be:
(0,2)
(1,4)
(2,8)
(3,16)
(4,32)
(5,64)
(6,128)
(7,256)
and so on :P

The question asks for 6 ordered pairs, so I bolded the first six.

Now, the equation for this would be $y = 2^{(x+1)}$

If we graph that, and we do the vertical line test, then we know this is a function.

It is a function because each x-value has a different y-value. There are no y-values that have the same x-values.

I have attached the graph of that line.

6 0

4 years ago

154 mi/h = ▪️ in./s I think I did this wrong I got 81,312

Vinil7 [7]

I thin the answer is 8,9785

7 0

4 years ago

What polynomial expressions equal 8x^3+64?

Natali5045456 [20]

Answer:

$\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}$

Step-by-step explanation:

Use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] to figure this out:

$\displaystyle 8x^3 + 64 \\ 8[x^3 + 8] \\ \\ x + 2 = \sqrt[3]{x^3 + 8}$

Then, since the divisor\factor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

−2| 1 0 0 8

↓ −2 4 −8

___________

1 −2 4 0 → ${x}^{2} - 2x + 4$

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x³ + 8]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², the −2x follows right behind it, then 4, giving you the other factor of $x^2 - 2x + 4$ , attaching this to the first two factors you started out your work on:

$\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}$

I am joyous to assist you anytime.

6 0

3 years ago