If i have a 50 question test final and i need a 50% to maintain my grade how many questions do i have to get right? (2023)

50% of 50 questions is 25 questions.

It is was helpful?

Mathematics

Mathematics

see the attachment for the graph and chart

Step-by-step explanation:

A spreadsheet or graphing calculator is convenient for making a chart of ordered pairs.

Mathematics

Step One
Set up the equation.
Let x be the smallest number. A consecutive integer is one that follows after another number that is smaller. The difference between the two numbers is one.

x + x + 1 + x + 2 + x + 3 = 154

Step Two
Collect all the like terms on the left.
4x + 6 = 154

Step 3
Solve
4x + 6 = 154 Subtract 6 from both sides.
4x = 154 - 6
4x = 148 Divide by 4
x = 148 / 4
x = 37
The smallest number is 37 <<<<< answer.

Mathematics

Part (1):
The graph is shown in the attached image.
As we can note from the graph, the solution of the system of equations is indicated by the point of intersection between the two lines which is (6,-2)

Part (2):
The equations given are as follows:
2x + 3y = 6 ...........> equation I
x - 2y = 10
which can be rewritten as:
x = 2y + 10 ...........> equation II

Substitute with equation II in equation I and solve for y as follows:
2x + 3y = 6
2(2y+10) + 3y = 6
4y + 20 + 3y = 6
7y = 6 - 20
7y = -14
y = -2

Substitute with y in equation II to get x as follows:
x = 10 + 2y
x = 10 + 2(-2)
x = 10 - 4
x = 6

The solution is (6,-2)

Part (3):
The equations given are:
2x + 3y = 6 .............> equation I
x - 2y = 10 ...........> equation II

Multiply equation II by -2, this will give:
-2x + 4y = -20 ............> equation III

Add equation I and equation III as follows:
2x + 3y = 6
+ -2x + 4y = -20
.........................................
0x + 7y = -14
7y = -14
y = -2

Substitute with y in equation II to get x as follows:
x - 2y = 10
x - 2(-2) = 10
x + 4 = 10
x = 10 - 4
x = 6

The solution is (6,-2)

Hope this helps :)

Mathematics

We know that
if|x+ y-7|+ |4x - y+ 12|= 0
then
x+ y-7=0
and
4x - y+ 12=0

using a graph tool
see the attached figure

the solution is the point (-1,8)
the answer is
the ordered pair of real numbers is (-1,8)

Mathematics

Mathematics

When you want to find the coordinates of vertices on coordinate plane, first :

1- look for the movement of the vertice parallel to x-axis (how many square houses did the vertice move to left or right?)if it moved right, the number is positive. if it moved left, then it's negative.

2- find out the movement of the vertice parallel to y-axis (how many square houses did the vertice move up or down?) if it moved up, the number is positive. if it moved down, it's negative

3- write the numbers as coordinates (x,y)

for example: the coordinates of this vertice is:

it moves 4 to right(positive) and 6 to down(negative)

good luck

Mathematics

Mathematics

A) In t months, the number of months required to number-crunch the problem will be
60*2^(-t/23)
By waiting t months, the researcher has made the total time f(t) to the solution of his problem be
f(t) = t + 60*2^(-t/23)

The derivative of this is
f'(t) = 1 + 60*ln(2)*(-1/23)*2^(-t/23)
We want to find the value of t that makes this be zero.
0 = 1 - 60*ln(2)/23*2^(-t/23)
2^(-t/23) = 23/(60*ln(2))
(-t/23)*ln(2) = ln(23/(60*ln(2)))
t = -23/ln(2)*ln(23/(60*ln(2))) ≈ 19.655

In order to finish his problem as soon as possible, the researcher should wait 19.7 months to buy his computers.

b) For this part of the problem, we want to find the value of "60" that makes t=0 be the solution. Taking the last expression and substituting t=0, 60=c, we get
0 = -23/ln(2)*ln(23/(c*ln(2)))
1 = 23/(c*ln(2)) . . . . . taking antilogs
c = 23/ln(2) ≈ 33.2

The largest value of c for which he should buy the computers immediately is 33.2.

Mathematics

This is a problem of geometry. So, ascalarhasmagnitude(size)only. Therefore, we can conclude that ta scalar is justa number. If we multiply a vectorby a scalar it is called scalinga vector, because we change how big or small the vector is. Given that 2π is a positive scalar then the answer is:

C) The vector will not change direction but will increase in magnitude.

This is true because:

just now

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