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3 years ago

A pumpkin with a mass of 2.5 kg was pushed toward a wall. The average acceleration of the pumpkin was 10.7 m/s².

Mathematics

2 answers:

AlekseyPX3 years ago

7 0

F=m.a
<=> F= 2.5 x 10.7
<=> F= 26.75 N
=> 2 is correct answer

Aleks [24]3 years ago

4 0

Answer:

The correct option is 2.

Step-by-step explanation:

The formula of force is

$F=ma$

Where, F is force, m is mass of the object and a is acceleration.

A pumpkin with a mass of 2.5 kg was pushed toward a wall. The average acceleration of the pumpkin was 10.7 m/s².

Put m=2.5 and a=10.7 in the above formula.

$F=2.5\times 10.7$

$F=26.75$

Unit of force is N.

Therefore the force was applied to the pumpkin to make it move is 26.75 N. The correct option is 2.

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For the following exercises, solve each inequality and write the solution in interval notation.

Pie

Answer:

The solution of the given set in interval form is $(-\infty,-4] \cup[12, \infty)$ .

Step-by-step explanation:

It is given in the question an inequality as $|x-4| \geq 8$ .

It is required to determine the solution of the inequality.

To determine the solution of the inequality, solve the inequality $x-4 \geq 8$ and, $x-4 \leq-8$

Step 1 of 2

Solve the inequality $x-4 \geq 8$

$\begin{aligned}&x-4 \geq 8 \\&x-4+4 \geq 8+4 \\&x \geq 12\end{aligned}$

Solve the inequality $x-4 \leq-8$ .

$\begin{aligned}&x-4 \leq-8 \\&x-4+4 \leq-8+4 \\&x \leq-4\end{aligned}$

Step 2 of 2

The common solution from the above two solutions is x less than -4 and $x \geq 12$ .

The solution set in terms of interval is $(-\infty,-4] \cup[12, \infty)$ .

7 0

2 years ago

Find profit or loss %<br> A) cp= 150 and profit =250

Anon25 [30]

Answer:

166⅓ %

Step-by-step explanation:

250/150 × 100

500/3 = 166⅓ %

Or 166.67%

7 0

3 years ago

For the following geometric sequence find the explicit formula.<br> {12, -6, 3, ...}

vivado [14]

It's geometric sequence where $a_1=12, q=-\dfrac{1}{2}$

So $a_n=12\cdot\left(-\dfrac{1}{2}\right)^{n-1}$

7 0

3 years ago

Read 2 more answers

A box with a square base and no top is to be made from a square piece of carboard by cutting 5 in. squares from each corner and

Vanyuwa [196]

16820 = 5 x 3364 = 5 x 58 x 58
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5 0

3 years ago

Five less than twice a number is equal to 57

Sliva [168]

The easiest way to do this is to break it down and translate it before solving. Start with twice a number, if you use n to represent eh number, you will have 2n. Then, add the 'less than' part. 'Five less than' means that five is being subtracted from the next part, which is 2n. Now you have 2n - 5. The last translation is simple, 'equal to 57' will complete the equation as 2n - 5 = 57.
If you want to solve the equation, use the Order of Operations.

2n - 5 = 57 Add 5 to both sides
2n = 62 Divide both sides by 2
n = 31

5 0

3 years ago