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sveticcg [70]
2 years ago
9

How do I simplify this expression 3x+4+2x+7

Mathematics
1 answer:
vredina [299]2 years ago
3 0

Step-by-step explanation:

3x + 4 + 2x +7

= 3x + 2x + 4 + 7

= 5x + 11

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If x10=235 find x <br> Answer needed ASAP please
nikdorinn [45]

Answer:

23.5 is the answer

Step-by-step explanation:

X10 =235 so x=235÷10 = 23.5

5 0
2 years ago
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Calculate the pH of a buffer solution made by mixing 300 mL of 0.2 M acetic acid, CH3COOH, and 200 mL of 0.3 M of its salt sodiu
Lesechka [4]

Answer:

Approximately 4.75.

Step-by-step explanation:

Remark: this approach make use of the fact that in the original solution, the concentration of  \rm CH_3COOH and \rm CH_3COO^{-} are equal.

{\rm CH_3COOH} \rightleftharpoons {\rm CH_3COO^{-}} + {\rm H^{+}}

Since \rm CH_3COONa is a salt soluble in water. Once in water, it would readily ionize to give \rm CH_3COO^{-} and \rm Na^{+} ions.

Assume that the \rm CH_3COOH and \rm CH_3COO^{-} ions in this solution did not disintegrate at all. The solution would contain:

0.3\; \rm L \times 0.2\; \rm mol \cdot L^{-1} = 0.06\; \rm mol of \rm CH_3COOH, and

0.06\; \rm mol of \rm CH_3COO^{-} from 0.2\; \rm L \times 0.3\; \rm mol \cdot L^{-1} = 0.06\; \rm mol of \rm CH_3COONa.

Accordingly, the concentration of \rm CH_3COOH and \rm CH_3COO^{-} would be:

\begin{aligned} & c({\rm CH_3COOH}) \\ &= \frac{n({\rm CH_3COOH})}{V} \\ &= \frac{0.06\; \rm mol}{0.5\; \rm L} = 0.12\; \rm mol \cdot L^{-1} \end{aligned}.

\begin{aligned} & c({\rm CH_3COO^{-}}) \\ &= \frac{n({\rm CH_3COO^{-}})}{V} \\ &= \frac{0.06\; \rm mol}{0.5\; \rm L} = 0.12\; \rm mol \cdot L^{-1} \end{aligned}.

In other words, in this buffer solution, the initial concentration of the weak acid \rm CH_3COOH is the same as that of its conjugate base, \rm CH_3COO^{-}.

Hence, once in equilibrium, the \rm pH of this buffer solution would be the same as the {\rm pK}_{a} of \rm CH_3COOH.

Calculate the {\rm pK}_{a} of \rm CH_3COOH from its {\rm K}_{a}:

\begin{aligned} & {\rm pH}(\text{solution}) \\ &= {\rm pK}_{a} \\ &= -\log_{10}({\rm K}_{a}) \\ &= -\log_{10} (1.76 \times 10^{-5}) \\ &\approx 4.75\end{aligned}.

7 0
3 years ago
Which of the following options results in a graph that shows exponential growth?
poizon [28]

Answer:

f(x)=0.7(5)^x

Step-by-step explanation:

\text{Exponential function: }y=a\cdot b^x

It is two types of function.

  • Exponential Growth: If function increase as value of x increase.

In this case, a>0 and b>1

  • Exponential decay: If function decrease as value of x increase.

In this case, a>0 and 0<b<1

We need to choose exponential growth function.

\text{Exponential Growth function: }f(x)=0.7(5)^x

Here a=0.75>0 and b=5>1

Therefore, This function is exponential growth.

7 0
3 years ago
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What is the answer to number 2
MAXImum [283]
The answer would be B
4 0
3 years ago
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Determine whether the two triangles are similar and, if they are similar, state a reason.
aleksley [76]

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of interior angles of a triangle is 180°.

Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°

Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)

= 35°

Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,

Both the triangles will be similar by AA property of similarity.

5 0
3 years ago
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