Is 17 heart beats in 15 seconds and 68 heart beats in 60 seconds equivalent. Why

Answers

Answer 1

Answer:

The required, 17 heartbeats in 15 seconds and 68 heartbeats in 60 seconds are equivalent.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
17 heartbeats in 15 seconds
Ratio = 17 / 15

Now,
68 heartbeats in 60 seconds
Ratio = 68 / 60
= 17 × 4 / 15 × 4
= 17 / 15

Thus, the required, 17 heartbeats in 15 seconds and 68 heartbeats in 60 seconds are equivalent.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

Answer 2

Answer: Yes because if you divide 17 by 15 you get about 1.133 and if you divide 68 by 60 you also get about 1.133

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Use long division.
(30x³+4x²-150)÷(3x-5)

Answers

$30x^3+4x^2-150=10x^2(3x-5)+18x(3x-5)+30(3x-5)=\n \n=(3x-5)(10x^2+18x+30)\n\n \n (30x^3+4x^2-150):(3x-5)= ((3x-5)(10x^2+18x+30))/(3x-5) =10x^2+18x+30$

A number divide by 3 algebraic expression

Answers

An algebraic expression is with numbers.
Set the number as x.
So the expression would be:
x/3

Hope this helps :)

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park. Write and solve an equation to find how far Joey walked to get to Armando's home.

Answers

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

$(9)/(10) = x + (3)/(5)$

$x = (9)/(10) - (3)/(5) = (9)/(10) -(6)/(10) = (3)/(10)$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=(9)/(100) \textrm{ or } c^2=(9)/(4)$

$c=(3)/(10) \textrm{ or } c=(3)/(2)$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

(5x + 6x3 + 2x) - (3x - 2x3 - 7x2) is equivalent to:8x3 + 12x2 - X
B
4x3 -- 5x2 - x
C
-4x3 + x2 + 6x
2x3 + 4x2 -- 5x

Answers

Answer:

A- 8x^3 + 12x^2 - x

Step-by-step explanation:

The symbol ^ with a 2 is squared and ^ with 3 means cubed.

1. Add a 1 before the parenthesis on both sides. Now, the equation should look like 1(5x^2 + 6x^3 + 2x) -1(3x - 2x^3 - 7x^2).

2. Now we should distribute. 1 × 5x^2 + 1 × 6x^3 + 1 × 2x -1 × 3x + -1 × -2x^3 + -1 × -7x^2.

3. Now the equation should be simplified.

1 × 5x^2 = 5x^2

1 × 6x^3 = 6x^3

1 × 2x = 2x

-1 × 3x = -3x

-1 × -2x^3 + -1 = 2x^3 -1. In this equation, there is a +- sign together, which is the same as a - sign.

-1× -7x^2 = 7x^2

4. The new equation is 5x^2 + 6x^3 + 2x - 3x + 2x^3 - 1 + 7x^2

5. Now you can combine the like terms. 5x^2 and 7x^2 can be added, so 5x^2 + 7x^2 is equal to 12x^2. Also, 6x^3 and 2x^3 can be added, so 6x^3 + 2x^3 is equal to 8x^3. Lastly, 2x and -3x can be combined, so 2x - 3x is equal to -1x or -x.

6. So, the simplified equation is 12x^2 + 8x^3 -x. You can also write it as 8x^3 + 12x^2 - x. So, A is the answer.

Order the Numbers from least to greateat. square root 11, -0.4 continuing, 3.41, - 9 over 20.

Answers

List: $√(11)$ (approx 3.32), -0.4 (repeating), 3.41, $(-9)/(20)$ (-0.45)

Ordered from Least to Greatest:
$(-9)/(20)$ (-0.45)
-0.4 (repeating)
$√(11)$ (approx 3.32)
3.41

PLEASE ASAP.. what is the volume.? Show your work

Answers

Step-by-step explanation:

The length, breadth and height of the solid is not equal, so it's a cuboid

Volume of a cuboid is calculated by productoflength,breadthandheighti.e. V = lbh $.$

Puttingthevaluesintheformula,

=> Volume = 1m * 2m * 2m

=> Volume = 4m3 (Option 3)

Volumeofthecuboidis4m³(ans)

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