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ella [17]
4 years ago
11

OOOF didn't think i would have to come here two times in a row ..... PLease help if you can.

Mathematics
2 answers:
borishaifa [10]4 years ago
7 0

Answer:

-8√2

Step-by-step explanation:

The screenshots below will explain the answer :)

ozzi4 years ago
3 0

Answer:

-8 square root 2

Step-by-step explanation:

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Find a1, for the arithmetic series<br> with S14 = - 420 and d = -6.
faust18 [17]

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} n = 14\\ d= -6 \end{cases} \\\\\\ a_{14}=a_1+(14-1)(-6)\implies a_{14}=a_1+(13)(-6)\implies a_{14}=a_1-78 \\\\[-0.35em] ~\dotfill

\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1

8 0
3 years ago
What are the solutions of x2 = 8 - 5x?
jonny [76]

Answer:

That can be re-written:

x^2 + 5x -8 = 0

We use the Quadratic Formula

a=1

b = 5

c = -8

x = [-b +- sq root (b^2 - 4ac) ] / 2a

x = [-5 +- sq root (25 - - 32)] / 2

x1 = [-5 + sq root (57)] / 2

x1 = 1.27491722

x2 = [-5 - sq root (57)] / 2

x2 = -6.2749172176

Step-by-step explanation:

5 0
4 years ago
Mary's math certificate is 10 inches tall and 13 inches wide. Mary wants to put the certificate
wlad13 [49]

Answer:

$219.70

Step-by-step explanation:

First, you need to find the area of the certificate, which you can do by multiplying 10*13, since it is a rectangle. 10*13 is 130. Then, multiply 130 by the price per inch, which is $1.69. 130*1.69=219.7, which in financial terms would amount to $219.70.

8 0
3 years ago
Find the exact value of each trigonometric function evaluated at the given angle.
viktelen [127]

Answer:

Step-by-step explanation:

1. A cell is identified by its ........

a. Cell pointer b. cell address c. Box

2. When you measure cones, in which directions you should click on the dots

representing cones.

a. clockwise b. Anticlockwise c. Straight

3. Name the software that can make models of molecules included in

GNU/Linux ?

a. Geogebra b. Kalzium c. Ghemical

4. The abbreviation for Physics Education Technology?

a. PhET b. PHET c. PheT

5. For giving background colour to a slide, click ................. in Slide Menu

a. Character b. Properties c. Paragraph

II. Fill in the blanks (5 x 1 = 5 marks)

6. ............. is the model of pre-designed slides in a presentation software.

7. Name the GNU Linux software that helps to understand the particle nature

of matter.

8. .................. helps you to copy data or formulae to the adjacent cells.

9. What is the name of the tool in GeoGebra used for drawing triangle?

10. To give border lines to the cells in the table select ........... from Format

menu.

P.T.O

III. Match the following (5 x 1 = 5 marks)

Column A Column B

11. PhET a. Microsoft Power Point

12. Kalzium b. Geometrical Shapes

13. Presentation Software c. Calligra Sheets

14. GeoGebra d. Periodic Table

15. Spreadsheet Software e. States of matter

IV. Answer the following questions (5 x 1 = 5 marks)

16. What was the major limitation of Overhead Projector?

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the Kalzium software?

18. Name the website address of PhET Online Simulation?

19. What do you mean by Fill Handle tool in Spreadsheet software?

20. How can you draw triangles and polygons easily, using the Polygon tools?

7 0
3 years ago
Dentro de 12 años la edad de Ana será el triple de su edad actual. Determina la edad de Ana dentro de 2 años.
vlada-n [284]

Ana va a cumplir los 36 anos de edad.

4 0
3 years ago
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