Answer:
6
Step-by-step explanation:
18x−(8x−7)=67
Step 1: Simplify both sides of the equation.
18x−(8x−7)=67
18x+−1(8x−7)=67(Distribute the Negative Sign)
18x+−1(8x)+(−1)(−7)=67
18x+−8x+7=67
(18x+−8x)+(7)=67(Combine Like Terms)
10x+7=67
10x+7=67
Step 2: Subtract 7 from both sides.
10x+7−7=67−7
10x=60
Step 3: Divide both sides by 10.
Answer:
4x³ +2x² + 2x
Step-by-step explanation:
1- Determine the sign
2- Combine like terms
Answer:
The position P is:
ft <u><em> Remember that the position is a vector. Observe the attached image</em></u>
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity
is:

Where
is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
ft/sec
ft/sec
Thus

The height after 2 sec is:


Then the equation that describes the horizontal position of the ball is

Where
for this case
ft / sec
ft/sec
So

After 2 seconds the horizontal distance reached by the ball is:

Finally the vector position P is:
ft
Answer:
C.
Step-by-step explanation:
Hypothesis testing procedure:
Hypothesis:
The null hypothesis will be the variances of sales of two musical stores are equal and the alternative hypothesis will be the variances of sales of two musical stores are not equal
Level of significance: alpha=0.05
Test statistic: F=variance A/variance B=(30)^2/(20)^2=900/400=2.25
P-value: p=0.107
As the alternative hypothesis mentioned that the variances are not equal this leads to two tailed test. so the p-value is calculated using excel function 2*F.DIST.RT(2.25,24,15).
Conclusion:
The p-value seems to exceed the alpha=0.05 and this depicts that the null hypothesis should not be rejected.
Answer:
175
Step-by-step explanation:
10*7=70 70*-1/2=-35 -35*5=175
Hope this helps :)