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wlad13 [49]
3 years ago
5

What is 1+2+3+⋯+2014+2015+2016

Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:6,051

Step-by-step explanation:1+2+3+2,014+2,015+2,016

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Find the angles a,b,c and d
maria [59]

Answer:

a°=79°[alternate angles]

c°=83°[alternate angle]

a° +d°=180°[straight angle]

79°+d°=180

or,d°=180-79

so,d°=101°

Now,

b°+c°=170°[sum of straight angle]

b°+83°=180°

b°=180°-83°

so,b°=97°

4 0
3 years ago
Helppppppppppppppppppppp plzzzzz
Naddik [55]

Answer:

B. 16/3

Step-by-step explanation:

f(2) = 1/3 · 4²

f(2) = 1/3 · 16

f(2) = 16/3

3 0
3 years ago
SOLVING ABSOLUTE VALUE EQUATION
Ratling [72]

Answer:

1. x=27

2. x=11 or x=-7

3. x=4

4. x=1 or x=\frac{1}{3}

5. x=12

6. x=11 or x=-1

7. x=8

8. x=3 or x=1

9. x=\frac{13}{2} or x=-4

10.x=7 or x=1

Step-by-step explanation:

For the first 8, the absolute value portion is just substituted in for x, so we can skip some of the repeated work that would occur in these. For the absolute value problems, there are two solutions each. When you remove an absolute value, you have to add a plus or minus to each side and solve for each.

1. 5x+9=144\\5x=135\\x=27

2. |3x-6|=27\\3x-6=27\\3x=33\\x=11\\\\3x-6=-27\\3x=-27\\x= -7

3. \frac{x}{7-3} =1\\\frac{x}{4} =1\\x=4

4. |12x-8|=4\\12x-8=4\\12x=12\\x=1\\\\12x-8=-4\\12x=4\\x=\frac{4}{12} \\\\x=\frac{1}{3}

5. \frac{2}{3}x-11=-3\\\frac{2}{3}x=8\\x=\frac{24}{2}\\ x=12

6. |2x-10|=12\\2x-10=12\\2x=22\\x=11\\\\2x-10=-12\\2x=-2\\x=-1

7. \frac{4x-5}{3} =9\\4x-5=27\\4x=32\\x=8

8. |8x-16|=8\\8x-16=8\\8x=24\\x=3\\\\8x-16=-8\\8x=8\\x=1

9. |4x-5| +15=36\\|4x-5|=21\\4x-5=21\\4x=26\\x=\frac{26}{4} \\x=\frac{13}{2} \\\\4x-5=-21\\4x=-16\\x=-4

10. 6|3x-12|-5=49\\6|3x-12|=54\\|3x-12|=9\\3x-12=9\\3x=21\\x=7\\\\3x-12=-9\\3x=3\\x=1

7 0
3 years ago
corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. which quantity depends on the other?​
lana66690 [7]

<u>Complete Question:</u>

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?

A. The distance traveled depends on the number of hours traveled.

B. The number of hours traveled depends on the speed of the train.

C. The speed of the train depends on the distance traveled.

D. The speed of the train depends on the number of hours traveled.

<u>Answer:</u>

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled

<u>Step-by-step explanation:</u>

As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,

           \text {velocity}=\frac{\text {distance}}{\text {time}}

Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time

            \text {distance}=\text {velocity} \times \text {time}

If 'v' is constant,

           \text {distance} \propto \text {time}

By this we can conclude that, the distance travelled by the train depends on the time taken to travel to it. Hence option A would be the correct one.

3 0
3 years ago
What is the positive root of the equation x 2 + 5x = 150?
Komok [63]
Move the 150 to the left to get x^2+5x-150=0
Then factor to (x+15)(x-10)=0
The roots are -15 and 10
The positive root is 10
7 0
4 years ago
Read 2 more answers
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