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Ad libitum [116K]
3 years ago
12

Find the prime factorization of each number using exponents 36

Mathematics
1 answer:
Alex787 [66]3 years ago
5 0

Answer:

2² × 3²

Step-by-step explanation:

36 = 2 × 2 × 3 × 3 = 2² × 3²

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Step-by-step explanation:

distributive

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What is required for two triangles to be similar?
BartSMP [9]

Answer:

1.the corresponding angles are propositional

2.the corresponding sides are proportional

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3 years ago
The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first
gulaghasi [49]

The question is incomplete so I am writing the complete question below and attaching the scatter plot as well.

The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown

How many of the nine people have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit?

Answer:

4 people have an actual height that differs by more than 3 cm from the height predicted by the line of best fit.

Step-by-step explanation:

The question is asking us to identify which people have a height that is more than 3 cm greater or more than 3 cm less then the height predicted by the line of best fit. Hence, we need to look at the outliers of the line if best fit i.e. the points which do not lie on the line. We need to select the points that differ by 3 or more cm.

So, we can see that the first person (4 cm) has an actual height of 157 cm but the line of best fit shows the height is 161.5. So, there is a difference of more than 3 cm (161.5 - 157 = 4.5).

The second outlier at 4.3 has an actual height of 175 cm but the line of best fit shows a height of 167 cm. There is a difference of 8 cm hence this person also has an actual height which differs by more than 3 cm from the line of best fit.

At 4.8 cm metacarpal bone height, the person's actual height is 172 cm but the graph shows a height of 176 cm hence this person also has an actual height which differs by more than 3 cm from the line of best fit.

At 4.9 cm on the x-axis, the person has an actual height of 183 cm but the line of best fit shows 178 cm so this person also has an actual height which differs by more than 3 cm from the line of best fit.

So, in total there are 4 people out of 9 whose heights differ by more than 3 cm from the line of best fit.

6 0
3 years ago
Six times a number plus 4 is same as the number minus 11 only equation
algol13

y=4x-11 is the correct equation

3 0
3 years ago
What is the area of this composite shape?
NNADVOKAT [17]
Area of rectangle = 6 x 7 = 42
area of triangle = 1/2(3)(6) = 9

area of figure = 42 + 9 = 51

answer
51 <span>in²</span>
7 0
3 years ago
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