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ycow [4]
3 years ago
11

Which numerical expression is equivalent to 6 to the power of 3 times 4 to the power of 2​

Mathematics
1 answer:
tangare [24]3 years ago
6 0

Answer:

6^3 * 4^2

Step-by-step explanation:

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Angle ABC is an inscribed angle so would be half of the arc.
So, 4x-5.5=1/2(5x+25)
4x-5.5=5/2x+25/2
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So angle ABC=4(12)-5.5=48-5.5=42.5
Arc AC=5(12)+25=60+25=85

Check: 42.5(2)=85

Answer: Arc AC is 85
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8 0
3 years ago
The accompanying data on x= head circumference z score (a comparison score with peers of the same age - a positive score suggest
djverab [1.8K]

Answer:

r=0.77, \hat{y}=770.50+39.37x and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is  \hat {y}=920.10

Step-by-step explanation:

We attached a table below,

(a)  We attached a table below,

Therefore ,

correlation coefficient  r=\frac{\frac{1}{18}(21766.7)-(\frac{27.25}{18} )(\frac{13890}{18} ) }{\sqrt{\frac{1}{18} (59.8435)-(\frac{27.25}{18} )^2}\sqrt{\frac{1}{18}(10767400)-(\frac{13890}{18} )^2 }  }

                                         =\frac{41.04}{53.19}

                                         =0.77

(b)    We calculate the least squares equation.

      b_1=r(\frac{\sigma_y}{\sigma_x} )\\      =(0.77)(\frac{\sqrt{\frac{1}{18} (10767400)-(\frac{13890}{18} )^2} }{\sqrt{\frac{1}{18}(59.8435)-(\frac{27.25}{18} )^2 } } )\\      =0.77(\frac{52.15}{1.02} )\\      =0.77(51.13)\\      =39.37

Now , calculate intercept coefficient.

b_0=\bar{y}-r\bar{x}\\

    =(\frac{\sum{y}}{n} )-0.77(\frac{\sum{x}}{n} )\\=(\frac{13890}{18} )-0.77(\frac{27.25}{18} )\\=771.67-1.17\\=770.50

Therefore, the regression equation is, \hat{y}=770.50+39.37x

(c)    Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8

\hat{y}=770.50+39.37x

   =770.50+39.37(1.9)\\=770.50+74.80\\=920.10

5 0
3 years ago
The parent function f(x) = x^2 is vertically stretched by a scale factor of 2, translated 14 units right, and 6 units up. Which
Elena-2011 [213]

Answer:

(1)\; G(x)=2(x-14)^2+6

Step-by-step explanation:

Assuming, right and up are positive directions.

The given parent function, f(x)=x^2

Let f_1(x) be the function when the parent function is stretched by a scale factor of 2.

So, f_1(x)=2f(x)

\Rightarrow f_1(x)=2x^2

Let f_2(x) be the function when f_1(x) is translated 14 units right.

So, f_2(x)=f_1(x-14)

\Rightarrow f_2(x)=2(x-14)^2

Again, let f_3(x) be the function when f_2(x) is translated 4 units up.

So, f_3(x)=f_2(x)+6

\Rightarrow f_3(x)=2(x-14)^2+6

So, the resulting function, f_3(x)=G(x)=2(x-14)^2+6.

Hence, option (1) is correct.

4 0
3 years ago
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