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3 years ago

Here are recipes for two mixtures of salt and water that taste different.

Mathematics

2 answers:

Roman55 [17]3 years ago

5 0

Answer: The answer is 2 more teaspoons. 7 more teaspoons. Mixture B would use more salt,3 more teaspoons.

Step-by-step explanation:

Gennadij [26K]3 years ago

4 0

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What can you conclude about the relationship between government and big business before the Progressive Era began?

jenyasd209 [6]

Answer: it’s the second one

Step-by-step explanation:

7 0

3 years ago

If (x, 1/100) lies on the graph of y = 10^x, then x =<br><br> 2<br> -1/2<br> -2

stepladder [879]

TLDR: The answer is -2.

What you have here is a function with a point on the graph. It is understood that “x” represents the input and “y” represents the output, so we’re looking for the right “x” that will give y = 1/100.

To start, we can substitute the y-value into the function like this:

y = 10^x

1/100 = 10^x

From here, we can take two different pathways; one requires conceptual knowledge while the other relies on the knowledge of logarithms.

Conceptual

For the conceptual, we know that 100 = 10^2, so 1/100 is the same as 1/10^2. We also know that the inverse of a fraction is the same as the number to the negative of its power (for example, 1/2 is equal to 2^-1), so we know that 1/10^2 is the same as 10^-2. So far, we have learned that:

1/100 = 10^x

1/10^2 = 10^x

10^-2 = 10^x

So, to satisfy this, “x” must equal -2.

Logarithms

For logarithms, we can use powers and math to actually calculate the value of “x”. We know that:

1/100 = 10^x

To solve this, we need “x” to be by itself on one side of the equation. To do this, we can perform the inverse function of an exponent, which is a logarithm. In this case, the base of 10^x is 10, so we need a “base 10” logarithm to solve this function. Apply this function to both sides and simplify:

1/100 = 10^x

log10(1/100) = log10(10^x)

log10(1/100) = x

The log10 function is the inverse of 10^x, so they cancel out to leave “x”. Plug log10(1/100) into a calculator, and you find that x = -2.

Hope this helps!

8 0

3 years ago

Jim earns $41.25 in 5 hours. Susan earns $30.00 in 4 hours. Pierre's hourly rate is less than Jim's, but more than Susan's. What

IceJOKER [234]

<h2>Answer: Pierre's hourly rate is less than $8.25 but more than $7.50</h2>

<h2>Step-by-step explanation: You have to divide 41.25 by 5, which is 8.25, then you divide 30 by 4 to get 7.5</h2>

3 0

3 years ago

Consider the relation y=x^3+2x^2-9x+18/x+3

Ivahew [28]

Answer:

a) $y=\frac{x^{3}+2x^{2} -9x+18}{x+3}$ .

Substitute all the values in the given relation.

The steps and table is attached below.

b) The relation is not a function.

Since the x =0 and x=3 has the same value. A relation is function when each input has only exact one output. refer the on-to diagram uploaded.

c) The domain is the set of all input values that can be applied into a function y or f(x).

Here all the x values -4,-3,-,-1,0,1,2,3,4 [-4,4] is the domain.

4 0

3 years ago

Find the equation of the line that is perpendicluar to y=-2/3x and contains the point (4,-8)

suter [353]

Answer:

Step-by-step explanation:

The slope of two perpendiculars is

m1*m2 = - 1

m1 = - 2/3

-2/3 * m2 = -1 Multiply both sides by -3/2

-3/2 * -2/3 * m2 = -1*-3/2

m2 = 3/2

So far what you have is

y = 3/2 x + b

x = 4

y = - 8

-8 = 3/2*4 + b

-8 = 6 + b Subtract 6 from both sides

b = - 14

Complete line

y = 3/2 x - 14

The red line is y = -2/3x

The blue line is y = 3/2x - 14

The point (4,-8) is marked for you

5 0

3 years ago