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3 years ago

Grade 12 math need help with question 3

Mathematics

1 answer:

Alla [95]3 years ago

5 0

Answer:

mean. median. mode

2006. 4 4 4

2004. 6 6 6

2001. 5.75 5 none

Step-by-step explanation:

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2logbase4(x)-logbase4(5)=125

Goryan [66]

$D:x>0\\\\ 2\log_4x-\log_45=125\\ \log_4x^2-\log_45=\log_44^{125}\\ \log_4\dfrac{x^2}{5}=\log_44^{125}\\ \dfrac{x^2}{5}=4^{125}\\ x^2=5\cdot4^{125}=5\cdot2^{250}=5\cdot(2^{125})^2\\ x=\sqrt{5\cdot2^{250}} \vee x=-\sqrt{5\cdot2^{250}}\\ x=\sqrt{5\cdot4^{125}} \vee x=-\sqrt{5\cdot4^{125}}\\ x=\sqrt{5\cdot(2^{125})^2} \vee x=-\sqrt{5\cdot(2^{125})^2}\\ x=\sqrt5 \cdot\sqrt{(2^{125})^2} \vee x=-\sqrt5 \cdot\sqrt{(2^{125})^2} \\ x=2^{125}\sqrt5 \vee x=-2^{125}\sqrt5$

$x=-2^{125}\sqrt5 \not \in D\Rightarrow \boxed{x=2^{125}\sqrt5}$

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Helppp this is my math test <br><br> Which model is 85% shaded?

Anettt [7]

Answer:

Model 1 represents 85% shaded area.

Step-by-step explanation:

Here, each model consists of equal sized rectangles.

Please refer to attached figure to know the model number.

Model 2 (on top right of question figure) contains a total of 20 such rectangles out of which 13 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{\text{Number of shaded rectangles}}{\text{Total number of rectangles}} \times 100\\\Rightarrow \dfrac{13}{20}\times 100 = 65\%$

Model 3 (on bottom left of question figure) contains a total of 16 such rectangles out of which 10 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{10}{16}\times 100 = 62.5\%$

Model 4 (on bottom right of question figure) contains a total of 16 such rectangles out of which 13 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{13}{16}\times 100 = 81.25\%$

Model 1 (on top left of question figure) contains a total of 20 such rectangles out of which 17 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{17}{20}\times 100 = 85\%$

Hence, model 1 is the correct answer.

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3 years ago