A test has 20 questions. The test awards 3 points if the answer is correct and takes away 1 point if the answer is incorrect. A student answered 5 questions incorrectly. How many points did the student lose?

Answers:
A. 15 Points.
B. -15 Points.
C. -5 Points.
D. 8 Points.

Answer:

First term of the sequence is [tex]11[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be the first term and [tex]d[/tex] be the common difference

We have

The sum of the second term and the ninth term of an arithmetic sequence is [tex]-5[/tex]

[tex]a+(2-1)d+a+(9-1)d=-5\\\\2a+9d=-5---eqn1[/tex]

The sum of the third and fourth terms of the same sequence is [tex]7[/tex]

[tex]a+(3-1)d+a+(4-1)d=7\\\\2a+5d=7---eqn2[/tex]

eqn 1 - eq2

[tex]4d=-12\\\\d=-3[/tex]

Substituting in eqn 1

[tex]2a+9\times -3=-5\\\\2a=22\\\\a=11[/tex]

First term of the sequence is [tex]11[/tex]

Answer:

y=0.68x + 0.22

Step-by-step explanation:

HOPE THIS HELPS :)

Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.

Answer:

The personal hygiene part of the store (I think)

Step-by-step explanation:

This is an ultimately weird question, so I don't really know. But my answer is what I think, (I don't even know if it exists though).

The measure of the diagonal KI is approximately 6.465 centimeters.

The diagonals of the quadrilateral RISK are represented by line segments RS and KI, both measured in centimeters. There are two triangles forming the quadrilateral: [tex]\triangle RIS[/tex], [tex]\triangle RKS[/tex]

By Law of Sine and Law of Cosine we determine the measures of all internal angles:

Triangle RIS

[tex]RS^{2} = RI^{2}+IS^{2}-2\cdot RI\cdot IS \cdot \cos I[/tex] (1)

[tex]\frac{RS}{\sin I} = \frac{RI}{\sin S'} = \frac{IS}{\sin R'}[/tex] (2)

Triangle RKS

[tex]RS^{2} = RK^{2} + KS^{2}-2\cdot RK\cdot KS\cdot \cos K[/tex] (3)

[tex]\frac{RS}{\sin K} = \frac{RK}{\sin S''} = \frac{KS}{\sin R''}[/tex] (4)

[tex]S = S' + S''[/tex] (5)

[tex]R = R' + R''[/tex] (6)

By (1) and (3) we find the values of angles I and K:

[tex]I = \cos^{-1}\left(\frac{RI^{2}+IS^{2}-RS^{2}}{2\cdot RI\cdot IS} \right)[/tex]

[tex]I \approx 90.261^{\circ}[/tex]

[tex]K = \cos^{-1}\left(\frac{RK^{2}+KS^{2}-RS^{2}}{2\cdot RK\cdot KS} \right)[/tex]

[tex]K\approx 94.903^{\circ}[/tex]

By (2) and (4) we find the remaining angles for each triangle:

[tex]S' = \sin^{-1}\left[\left(\frac{RI}{RS} \right)\cdot \sin I\right][/tex]

[tex]S' \approx 38.682^{\circ}[/tex]

[tex]R' = \sin^{-1}\left[\left(\frac{IS}{RS} \right)\cdot \sin I\right][/tex]

[tex]R' \approx 51.057^{\circ}[/tex]

[tex]S'' = \sin^{-1}\left[\left(\frac{RK}{RS} \right)\cdot \sin K\right][/tex]

[tex]S'' \approx 28.969^{\circ}[/tex]

[tex]R'' = \sin^{-1}\left[\left(\frac{KS}{RS} \right)\cdot \sin K\right][/tex]

[tex]R'' \approx 56.128^{\circ}[/tex]

Then, we have the values of angles R and S by (5) and (6):

[tex]S \approx 67.651^{\circ}[/tex], [tex]R \approx 107.185^{\circ}[/tex]

The measure of the diagonal KI is found by the Law of Cosine:

[tex]KI = \sqrt{IS^{2}+SK^{2}-2\cdot IS\cdot SK\cdot \cos S}[/tex]

[tex]KI \approx 6.465\,cm[/tex]

The measure of the diagonal KI is approximately 6.465 centimeters.

To learn more on quadrilaterals, we kindly invite to check this verified question: https://brainly.com/question/6321910

Answer 48

Step-by-step explanation:

The two-digit number that satisfies the given condition will be 48.

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Suppose the two-digit number is xy.

Sum x + y = 12

By multiplying by 3,

3(10x + y) = 144

10x + y = 48

Put y = 12 - x

10x + 12 - x = 48

9x = 36

x = 4

And, y = 12 - 4 = 8 so the number will be 48.

Hence "The two-digit number that satisfies the given condition will be 48".

To learn more about digits,

https://brainly.com/question/10913044

#SPJ2

Answer:

54

Step-by-step explanation:

.5*9*12

[tex]4 + \sqrt{ - 16} \\ = 4 + \sqrt{ - 2 \times 2 \times 2 \times 2} \\ = 4 + 2\sqrt{ - 4} \\ = 2(2 + \sqrt{ - 4} )[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \sf\longmapsto 4+√-16[/tex]

[tex]\\ \sf\longmapsto 4+√16i[/tex]

[tex]\\ \sf\longmapsto 4+4i[/tex]

[tex]\\ \sf\longmapsto 4(1+i)[/tex]

Answer:

y = 3x + 18

Here's how I got that:

- You first assign the points -

     (-9, -9) → x1 = -9, y1 = -9

     (-6, 0) → x2 = -6, y2 = 0

- Now you plug those points into slope formula and solve-

                          [tex]s=\frac{y2-y1}{x2-x1}[/tex]

                                   ↓

                       (0 - (-9))/((-6) - (-9))

                                   ↓

                                  9/3

                                   ↓

                           slope = 3

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             -9 - (3) · (-9)

                                      ↓

                           y-intercept = 18

           - Put everything together and you get.. -

                                 y = 3x + 18

~That's all folks~

-Siascon

Answer:

y = 3x + 18

Step-by-step explanation:

Answer: 18.5

Step-by-step explanation:  1184/64= 18.5

Answer:

15 3/4 = (15*4 + 3)/4 = 63/4

5*(63/4) = 78.74 OR 78 3/4

The  change in the total number of bushels is 78 3/4 bushels.

Answer:

i think x=1 y=3 (1,3)

Step-by-step explanation:

2x+4x-1 = 5

x = 1

y = 4x-1

y = 4(1)-1

y = 4-1

y = 3

Answer:

  g(x) = -4x^2 +(45/2)x +6

Step-by-step explanation:

A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).

  g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6

  g(x) = -4x^2 +(45/2)x +6

Answer:

pay: 32,000*12 ( since its per month) =384,000

income tax: 384,000*0.45 = 172,800

EI: 384,000*0.0173=6,643.20

CPP: 384,000*0.0495=19,008

Yearly Pay will be 384,000-172,800-6,643.20-19,008= $185,584.80

Weekly pay (paycheck) = 42320.91/52 = $ 3,568.25

Step-by-step explanation:

Answer:

2/3(2)

=(2/3)(2/1)

=(2*2)/(3*1)

=4/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

(2/3)2

(2/3)(2/1)=4/3

Answer:

The shape of base of a cubic box is square

Step-by-step explanation:

Here the figure is

Here the base is square

The shape of base of a cubic box is square

Answer:

The base is a square

Step-by-step explanation:

Since this question is very straightforward it is asking us the what it the base or what holds the shape itself. We know that a cube is made up of all squares so we can say the the base is a square.

Answer:

Step-by-step explanation:

I'll assume these are the equations:

11x + y =  18

4x + y  = 18

-2x - 2y = 18

=======

The easiest approach to graphing, for me, is to rearrange each to y=mx+b (slope-intercept) format:

It seems to me that all three can be graphed easily from simply reading the slope and y-intercept values.  Since these are straight lines, all we need is two points for each line, and one is standing out in plain view, the y-intercept:  (0,y-intercept).  The second point can be determined by using whatever value of x makes the calculation easy

An example:  y =  - x -9.  Plot (0,-9) for the y intercept, and then calculate one additional point (e.g., for x = - 9).  (-9,0)  Then connect a straight line between these two points and presto (metric term for magic), a graph. For the first equation, I picked 20 for x.  For x = 20, y = -29.  That was easy, and we have the second point:  (1,-10)

See the attachment for how this was done.  The first points are all for the y-intercept (0,[18 or 9]).  All of the second points were calculated in my head by using a convenient value for x.

This approach doesn't work well for non-linear equations.  There, I find it easier to set up a table of values - a spreadsheet such as Excel is my tool for the calculations.

The attachment also demonstrates the Really Easy Way to graph functions.  DESMOS, a free, and excellent, online calculator.

Answer:

2 stops, 30 min

Step-by-step explanation:

to figure this out we have to divide B's time by A's time. 30÷15 is 2.

Answer:

∠BAC=70°

Step-by-step explanation:

If AB || CD and BC II DE that means the two triangles are congruent or the same, this means ∠BAC°=∠DCE°, ∠ABC°=∠EDC°, and ∠BCA°=∠DEC°. The three angles of a triagle add up to 180°. If ∠DEC=45° and ∠EDC=65°

Total°-(∠DEZ°+∠EDC°)=∠DCE° or ∠ECD°

180°-(65°+45°)=70°

∠BAC°=∠DCE°

Therefore ∠BAC=70°

Answer:

34%

Step-by-step explanation:

3+3+3+3+3+3+3+35%

Answer:

3.5hours

Step-by-step explanation:

7 hours is the max but divided by 2 people it is 3½ hours

29 Nickels

15 Dimes

Hope this is helpful!

Answer:

0.3

Step-by-step explanation:

I just need 20 characters so yeah

Answer:

0.3

Step-by-step explanation:

Answer:

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

Answer:

binomial

Step-by-step explanation:

a monomial has 1 term

a binomial has 2 terms

a trinomial has 3 terms

2x + y has 2 terms and so is a binomial

Answer:

A Rhombus

Step-by-step explanation:

it's a quadrilateral, but its sides aren't congruent