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3241004551 [841]

3 years ago

15

Examples: Name the sets of numbers to which each number belongs.

1 answer:

katrin2010 [14]3 years ago

4 0

Answer:
a) Integers, real, rational, whole
b) irrational real
c) rational real

explanation:
A square root with a non repeating decimal is irrational.
All numbers are real numbers.
A terminated fraction or decimal is rational.
Whole numbers are not fractions or decimals.
Integers can go on a number line.

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A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery cha

agasfer [191]

The cost of each friend's meal in terms of a is 35/a.

The cost of each friend's meal when the number of friends is 5 is $7.

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4 years ago

Solve 3 log 2x = 4. Round to the nearest thousandth if necessary.

dybincka [34]

Answer:

x is approximately 10.772

Step-by-step explanation:

$3log(2x) = 4$

To solve for x, we convert this log form to exponential form

If $log x= a , then x= 10^a$

$3log(2x) = 4$

to convert it into exponential form we make log alone

Divide by 3 on both sides

$log(2x)= \frac{4}{3}$

$2x= 10^{\frac{4}{3}}$

Then divide by 2 on both sides

so x= 10.772

8 0

4 years ago

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Tell which equation you would choose to solve for one of the variables. Explain.

stepan [7]

Answer:

option 2

Step-by-step explanation:

its easier because you can transfer the y to the other side and it gets easier.

2x = -10y

x = 2/-10 y

x = -5y

6 0

3 years ago

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The area of a rectangular placemat is 168 square inches. Its length is two inches longer than the width. Find the length and wid

BartSMP [9]

Length = 14, Width = 12

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3 years ago

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A model rocket is launched directly upward at a speed of 50 meters per second from a height of 8 meters. The function f(t)=−4.9t

Gnoma [55]

Answer:

$t=\frac{-50 -\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= 10.36$

$t=\frac{-50 +\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= -0.158$

And since the time can't be negative we have that:

$t= 10.36 seconds$

So the answer for this case would be after 10.36 seconds the rocket will hit the ground

Step-by-step explanation:

For this case we have the function of the height in terms of the time givenby:

$h(t) = -4.9t^2 +50 t+8$

And we want to known when the rockect hit the ground and for this case we need to solve the equation $h=0$

$-4.9t^2 +50 t+8 =0$

And as we can see we have a quadratic equation like this one:

$ax^2 +bx+c$

Where: $a =-4.9 , b =50 c =8$

And the general solutions are given by:

$x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

If we replace the values that we have we got:

$t=\frac{-50 -\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= 10.36$

$t=\frac{-50 +\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= -0.158$

And since the time can't be negative we have that:

$t= 10.36 seconds$

So the answer for this case would be after 10.36 seconds the rocket will hit the ground

6 0

4 years ago