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2 years ago

5

the spice recipe calls for 1/2 tsp of crushed red pepper for every 1 1/4 tsp of black pepper. you use 6 tsp of crushed red peppe

r. how many tsp of black pepper do you need?

1 answer:

aksik [14]2 years ago

4 0

15 tsp of black pepper was used. 2 half tsp = one whole tsp. 12 half tsp is equivalent to 6 tsp. Multiply 1 1/4 by 12 and you get 15. <span />

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For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i

daser333 [38]

<h2>Hello</h2>

The answers are:

a) The name of the function is g, and it's an Exponential Function.

b) Independent variable : x , dependent variable : g(x)/y

c) The rule that assigns exactly one output to the very input is called "function".

d) $g(4)=2^{4}+12=16+12=28$

<h2>Why?</h2>

Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise, the name of the function is "g", and it's an Exponential Function.

The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".

The dependent variable is the function itself (g(x)), it's also called "y", and it's called "dependent" variable because its values will always depend on the "independent variable".

A function is the rule that states that there is exactly one output (range value) to the each input (domain value). A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

To evaluate a function we need to assign values to the independent variable(x), therefore:

$g(4)=2^{4}+12=16+12=28$

Have a nice day!

8 0

3 years ago

What is the fraction for the following decimal expansion? 0.16

lozanna [386]

Answer:

<h2><em><u>D. 4/25</u></em></h2>

Step-by-step explanation:

As,

0.16

= 16/100

= <em>4/25.</em> [Taking common factor 4 from both 16 and 100]

6 0

2 years ago

Marisol is being paid $792 to provide nutrition counseling, It took her 8 hours more than she expected, so

olchik [2.2K]

Answer: 44 hours.

Step-by-step explanation:

Marisol is being paid $792.

We know that the job took her 8 hours more than she expected, so if we define T as the time she expected, this job took her:

T + 8 hours.

The amount of money per hour that she expected is calculated as:

$792/T = X

And for those 8 extra hours, she won $4 less per hour, then we have:

$792/(T + 8hs) = X - $4

Then we have a system of equations:

$792/T = X

$792/(T + 8hs) = X - $4

To solve this, we can notice that in the first equation X is isolated, then we could replace that in the second equation to get:

$792/(T + 8hs) = $792/T - $4

Now we can solve this for T.

$792 = ($792/T - $4)*(T + 8hs) = $792 + $792*(8hs/T) - $4*T + $32*hs

0 = $792*(8hs/T) - $4*T + $32*hs

Let´s multiply this both sides by T

0*T = ($792*(8hs/T) - $4*T + $32*hs)*T

0 = $792*8hs - $4*T^2 +$32*T*hs

This is a quadratic equation, where i will write this witout units so it is easier to read and follow:

0 = -4*T^2 + 32*T + 792*8

The solutions cab be found by using the Bhaskara´s formula, these are:

$T = \frac{-32 +- \sqrt[2]{(32^2 - 4*(-4)*(792*8)} }{2*-4} = \frac{-32 +-320}{-8}$

Then the solutions are:

T = (-32 + 320)/-8 = -36 hours (This is a negative time, and it does not really have a meaning in this problem, so we can discard this option)

The other solution is:

T = (-32 - 320)/-8 = 44 hours.

Then we can conclude that she expected the job would take 44 hours in total.

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2 years ago

Which equation shows the point-slope form of the line that passes through (-9, -3) and has a slope of -6?

Snowcat [4.5K]

Answer:

y=-6x-57 is your answer.

Step-by-step explanation:

You will use this equation:

y-y1=m(x-x1). The y1 is -2 and the x1 is -9.

y-(-3)=-6(x-(-9)). You will the distribute the -6 into the x and the -9.

y+3=-6x-54. You will then subtract 3 to both sides.

y=-6x-57 is your answer.

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3 years ago

A cashier checks the price of a kitchen table that is marked $51, because it usually rings up at $86. What percentage is the dis

Tpy6a [65]

90000000000 y r u cheating

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2 years ago