A particle moves along the x-axis in such a way that its velocity at any time t > 0 is given by v(t)=3t^2-4t-4. the particl's position x(t) has a value of 1 when t=1

Answer: 46%

Step-by-step explanation:

Answer:

The expressions equivalent to 'the product of a number minus 17 and 5' are (n - 17) x 5 and 5(n - 17), where n is the unknown number. These cannot be simplified further without additional information.

Step-by-step explanation:

The statement 'the product of a number minus 17 and 5' can be translated into an algebraic expression. This expression would look like (n - 17) × 5 or 5(n - 17), where n represents the unknown number. Both expressions are equivalent and represent the same mathematical operation.

When simplifying algebraic expressions, it is important to eliminate terms wherever possible to get a more straightforward expression. However, in this case, since we don't have a specific value for n, we cannot simplify the expression further without additional information.

Always remember to check your answer to ensure that the expression makes sense and is reasonable within the context of the problem.

Sir, please show your work

To test if a safety net can absorb the proper amount of force, you would need to determine the weight of the sand bag. This can be done by using the concept of Newton's second law and calculating the mass of the sand bag using the equation F = mg, where F is the force required and g is the acceleration due to gravity.

To test if a safety net can absorb the proper amount of force, you would need to determine the weight of the sand bag. This can be done by using the concept of Newton's second law, which states that force equals mass times acceleration. You would first need to calculate the acceleration of the sand bag using the formula F = ma, where F is the force required to be absorbed by the safety net and a is the acceleration. Once you know the required force and acceleration, you can calculate the mass of the sand bag using the equation F = mg, where g is the acceleration due to gravity (approximately 9.8 m/s²).

For example, if the required force is 500 N and the acceleration is 5 m/s², you would calculate the mass of the sand bag as follows:

F = ma

500 N = m * 5 m/s²

m = 500 N / 5 m/s²

m = 100 kg

Therefore, the sand bag must weigh 100 kilograms (or approximately 220 pounds) to test if the safety net can absorb the proper amount of force.

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Final answer:

Kate ran approximately 9.66 kilometers after converting her distance run in miles to kilometers using the conversion factor of 1 mile equaling 1.60934 kilometers.

Explanation:

Kate ran 6 miles and we need to convert that distance into kilometers. To do this, we use the conversion factor that 1 mile is approximately equivalent to 1.60934 kilometers. By multiplying 6 miles by this conversion factor, we get:

6 miles × 1.60934 km/mile = 9.65604 kilometers

So, from the above calculation Kate ran roughly 9.66 kilometers, considering we usually round the result to two decimal places when dealing with distances unless high precision is required.

Just got this question in a practice test on Edge. The answer is definitely Alex, or D.

Answer: i think it is 22

Step-by-step explanation:

Answer:

 -divide both sides by -2

                                -2x-y=-9

                                 2x+3y=15

                           -sum the equations vertically to

                             eliminate at least one variable

                              2y=6 divide both sides of the equation

                                        by 2

                              y=3

            -substitute the given value of y into the simplest equation

                              2x+3*3=15

                                   -solve for x

                                        x=3

                 -the solution of the system is the ordered pair (x,y)

                                  (x,y)= (3,3)

                                        Check √

-check if the given ordered pair is a solution of the system of equations

{4*3+2*3=18

{2*3+3*3=15

simplify the inequalities  

{18=18

{15=15

-since all of the equalities are true the ordered pair is the solution of the system

Step-by-step explanation:

Answer:

the answer is 12.75

Step-by-step explanation:

btw if you need the median is 12 :>

so the syrup is just water and sugar, we know that the sugar percent is just 12%, and that happens to be 5grams.

now 100% - 12% is 88%, so the 88% leftover will just be water.

if 12% is 5g, how much is 88%?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 5&12\\ x&88 \end{array}\implies \cfrac{5}{x}=\cfrac{12}{88}\implies \cfrac{5}{x}=\cfrac{3}{22}\implies 110=3x \\\\\\ \cfrac{110}{3}=x\implies 36\frac{2}{3}=x[/tex]

Answer:

[tex]36\dfrac{2}{3}[/tex] g of water.

Step-by-step explanation:

You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then

5 g - 12%,

x+5 g - 100%.

Mathematically, you can write a proportion:

[tex]\dfrac{5}{x+5}=\dfrac{12}{100}\Rightarrow 500=12(x+5),\ 500=12x+60,\ 12x=440, \\ \\x=\dfrac{440}{12}=\dfrac{110}{3}=36\dfrac{2}{3}.[/tex]