What is the value of log subscript 4 baseline 16? 1 2 4 8

1 answer:

8 0

$~\log_4 16 \\\\= \log_4 4^2\\\\=2 \log_ 4 4~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=2 \cdot 1~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[ \log_b b =1]\\\\=2$

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Hey plz help and show work

blsea [12.9K]

The dog house consists of two geometric objects, triangular prism and rectangular prism.

First, find the surface area of triangular prism
The triangular prism consists of
base of triangle (b) = 3 ft
height of triangle (h) = 2.5 ft
height of prism or length of rectangle (l) = 4 ft
side of triangle or width of rectangle (w) = 2.5 ft

Now, calculate the area
area of tp = area of two triangle + area of 2 rectangle
area of tp = (2 × 1/2 × b × h) + (2 × l × w)
area of tp = (2 × 1/2 × 3 × 2) + (2 × 4 × 2.5)
area of tp = 6 + 20
area of tp = 26 ft²

Second, find the surface area of rectangular prism
The rectangular prisms consists of
length (l) = 3 ft
width (w) = 4 ft
height (h) = 2 ft

Now, calculate the area
area of rp = area of back and front rectangle + area of left and right rectangle
area of rp = (2 × l × h) + (2 × w × h)
area of rp = (2 × 3 × 2) + (2 × 4 × 2)
area of rp = 12 + 16
area of rp = 28 ft²

Third, add both of the area
area = area of tp + area of rp
area = 26 + 28
area = 54 ft²

The area of the dog house is 54 ft²

6 0

3 years ago

A school has 30% of girls and 70% boys. If 10% of the girls wear glasses and 20% of the boys wear glasses, what percent of all s

NikAS [45]

Answer:

17%

Step-by-step explanation:

If 30% of the school is girls and 10% wear glasses, that means that at least 3% of the school wears glasses. (10 percent of 30%) If 70% of the school is boys and 20% of boys wear glasses, at least 14% of the school wears glasses. (20% of 70%) If you add both of those numbers together it adds up to 17%.

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3 years ago

Clara is growing her hair out and wants it to be no longer than 15 cm but more than 11 cm. Her hair is 7 cm right now and grows

AfilCa [17]

Assuming you are asking how many weeks, than the answer would be 17-32, because at 16 weeks the growth would be 4 cm, totaling at 11, but you need more than 11cm, and at 32 weeks it's at 15 cm.

5 0

4 years ago

Read 2 more answers

The following data give the annual salaries (in thousand dollars) of 20 randomly selected health care workers. 50 72 56 38 46 65

Afina-wow [57]

Answer:

So, the interquartile range is IQR=22.5.

Step-by-step explanation:

Let us write the numbers in ascending order:

34, 37, 38, 40, 44, | 46, 50, 51, 55, 56, |

57, 61, 62, 65, 65, | 68, 68, 72, 73, 76.

We calculate quartile 1: