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Nostrana [21]
3 years ago
12

Joni said that she could rewrite the expression d^3•d^11 as d^33. What mistake did Joni make?

Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

Joni's mistake was to multiply the exponents instead of adding the exponents.

Step-by-step explanation:

we know that

When multiplying two powers that have the same base, you can add the exponents

so

d^{3} *d^{11} =d^{3+11}=d^{14}

Joni's mistake was to multiply the exponents instead of adding the exponents.

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the answer is $2,883$

Step-by-step explanation:

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Write all prime numbers from 20 to 50.​
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So, 23, 29, 31, 37, 41, 43 and 47 these are the prime numbers between 20 and 50.

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Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below.
Liula [17]
Answer

She used 6/15 litres of oil in January

Explanation

We are given that, in January, she used 3/5 of the amount of oil she used in February.

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A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away. Which equation could be used to fi
yulyashka [42]

Answer:

h = 196/65

Step-by-step explanation:

65 miles /1 hour is the moving rate

200 miles is the distance to the railroad maker

h = ?

200- 4 miles = 196 miles were left behind the train

65miles /1 hour , 130miles/2hours , ..196miles/ ?hours

h = 196/65 = 3 hours and 1/65 minutes from an hour = 3 hours and 12/13 min.

60/ 65 = 12/13

5 0
2 years ago
Write the slope-intercept form of the equation with the given characteristics.
Serhud [2]

Answer:

1. y=1/4x+2

2. y=-3/2x +1

3. y = -3/2x -2

4. y= -3x -49

5. y = -2x +8

Step-by-step explanation:

1. Use slope intercept, y=mx+b where m =1/4 and b=2. y=1/4x+2

2. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.  

(y-7)=-3/2(x--4)  

y-7=-3/2(x+4)

y-7=-3/2x-6

y = -3/2x -6 +7

y=-3/2x +1


3. To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-5-1}{2--2}=\frac{-5+-1}{2+2}=\frac{-6}{4}=\frac{-3}{2}

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.  

(y--5)=-3/2(x-2)  

y+5=-3/2(x-2)

y+5=-3/2x + 3

y = -3/2x -2

4. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is -3 since parallel lines have the same slope.  

(y--4)=-3(x-5)  

y+4=-3 (x+15)

y+4=-3x -45

y= -3x -49

5. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is -2 since perpendicular lines have the negative reciprocal slopes. So 1/2 becomes -2.

(y--6)=-2(x-7)  

y+6=-2 (x-7)

y+6 = -2x + 14

y = -2x +8

7 0
4 years ago
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