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Verdich [7]
3 years ago
12

Makhaya is required to spend more than 300 minutes to complete assignments, and he can use at most 20 paper sheets. Let W denote

the number of writing assignments he completes and M the number of math assignments he completes.
Write an inequality that represents the condition based on the number of minutes.

Write an inequality that represents the condition based on the number of paper sheets.
Mathematics
1 answer:
Drupady [299]3 years ago
6 0
The constraint on time is
.. 75W +15M ≥ 300 . . . . . . . minutes

The constraint on paper is
.. 3W +M ≤ 20 . . . . . . . . . . . sheets of paper
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Suppose John found his longitude to be 90.721°. What is this measure in degrees, minutes, and seconds? If needed, round your sec
nevsk [136]

Answer: 90 degrees, 43 minutes, 16 seconds

Step-by-step explanation: To convert from decimal degrees to degrees minutes and seconds, the whole number part which is 90 is the degree, then multiplying the decimal part (0.721) by 60 gives the minutes which is 43 and finally multiplying the remaining decimal (0.26) by 60 gives the seconds which is approximately equal to 16

6 0
3 years ago
For students who first enrolled in two year public institutions in a recent​ semester, the proportion who earned a​ bachelor's d
kondaur [170]

Answer:

Null hypothesis =  H_0:p=0.395

Alternate hypothesis =H_a:p>0.395

Step-by-step explanation:

Given : In a recent​ semester, the proportion who earned a​ bachelor's degree within six years was 0.395.

The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.

To Find : Determine the null and alternative hypotheses.

Solution:

In a recent​ semester, the proportion who earned a​ bachelor's degree within six years was<u> 0.395. </u>

Claim : the proportion of students who enroll in her institution <u>have a higher completion rate.</u>

So,null hypothesis =  H_0:p=0.395

Alternate hypothesis =H_a:p>0.395

6 0
3 years ago
Evaluate the dot product a⃗ ⋅b⃗ of a⃗ =3i^−8j^ and b⃗ =−2i^−6j^.
Mkey [24]
The "dot product" of two vectors has several different formulas.

Since you are given the x- and y-coordinates of both vectors a and b, we can apply the formula

a dot b  = ax*bx + ay*by, where ax=x-component of vector a, by=y comp of vector b, and so on.  

So, for the problem at hand, ax * bx + ay * by becomes

3(-2) + (-8)(-6) = -6 + 48 = 42 (answer).  Note that the dot product (or "scalar product" is itself a scalar.
4 0
3 years ago
Please HELP!! ILL GIVE BRAINLEST! QUCIK PLEASE HELP!!
Elena-2011 [213]

Answer:

d. linear; $25/hour

Step-by-step explanation:

From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.

For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.

Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.

Linear. $25/hour

Answer choice d.

I hope you find my answer and explanation to be helpful. Happy studying.

6 0
2 years ago
Plz help me with this
jeyben [28]

Only the last two options are true.

The first one is false, because 4.5 is the value of the maximum of f(x), not the point where it is reached.

The second one is false, because g(x) has a maximum of 9, so it is a downward-facing parabola (just like f(x)), so it doesn't have a minimum.

The third one is true, because the maximum value of f(x) is 4.5, and the maximum value of g(x) is 9, which is twice the maximum of f(x)

The last one is false (see point 2).

3 0
3 years ago
Read 2 more answers
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