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sergij07 [2.7K]

2 years ago

8

At a store Ron bought two shirts of same price and a neck-tie for $90. At the same store, on the same day, Bruce paid $12 for th

e same shirt after applying credit he received earlier for a retuned neck-tie of same value as that of Ron. How much did Ron pay for each shirt?

1 answer:

allochka39001 [22]2 years ago

7 0

Answer:

I'm pretty sure he paid $30 for each shirt.

Step-by-step explanation:

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Given the definitions of f(x) and g(x) below, find the value of f(g(-1)).

butalik [34]

Answer:

-18

Step-by-step explanation:

$f(x) = 4x+14\\g(x) = 3x^{2} + 5x -6\\f(g(x)) = 4(3x^{2} + 5x -6)+14 \\f(g(-1)) = 4(3(-1 ^{2}) + 5(-1) -6) +14 \\\\= 4(3 - 5 - 6) + 14\\= 4 (-8) + 14\\= - 32 + 14 \\= -18$

6 0

3 years ago

2. The alkalinity of a fluid (pH) can be modeled in terms of its hydrogen ion concentration (H+, measured in moles/liter) of the

nataly862011 [7]

Given the equation:

$pH=-log\mleft(H^+\mright)$

You know that a lab technician finds that a sample of fluid has this pH:

$pH=4.5$

Then, in order to find the hydrogen ion concentration of the fluid, you need to follow these steps:

1. Substitute the pH given in the exercise into the equation:

$4.5=-log(H^+)$

Multiply both sides by -1:

$-4.5=\log (H^+)$

2. Solve for:

$H^+$

Remember that, by definition:

$\log _b\mleft(c\mright)=a\Rightarrow b^a=c$

In this case, you can identify that:

$\begin{gathered} a=-4.5 \\ b=10 \\ c=H^+ \end{gathered}$

Hence, substituting values and simplifying, you get:

$\begin{gathered} b^a=c \\ 10^{-4.5}=H^+ \\ H^+=0.00003162278\text{ }\frac{moles}{liter} \end{gathered}$

Therefore, the answer is:

$H^+=0.00003162278\text{ }\frac{moles}{liter}$

4 0

2 years ago

Are the expressions (4x)^2 and 4x^2 equal in value? How would you explain your answer?

Nastasia [14]

Understand pemdas
parenthasees
exponenets
multiiplication or dividsion
additon or subtraction

(4x)^2=4x times 4x
4x^2=4 times x times x=4(x^2)

(4x)^2=16x^2
4x^2=4(x^2)
values are not equal
(just for fun: 4x^2=(2x)^2)

4 0

4 years ago

RATING BRAINLIST!!! 30 POINTS!!!! TWO QUESTIONS!

Likurg_2 [28]

A
h(x)=6x^2+1

B

f(t)=-16t^2+48t
Before it hit the ground eqn would be
-16t^2+48t=0
16t^2=48t
t=3
3 seconds in the air before it hit the ground

7 0

4 years ago

Emily and four friends went out for pie and ice cream. The total cost of the ice cream was $5. If each person paid $8, what was

Irina-Kira [14]

The pie it’s self is 6.75, the ice cream is 1.25 and that makes 8 dollars per person which totals up to 32

8 0

3 years ago