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V125BC [204]
2 years ago
10

What is the decimal multiplier to increase by 3%?

Mathematics
1 answer:
vaieri [72.5K]2 years ago
5 0

Answer:

1.03

Step-by-step explanation:

The increase is 3% above the original 100%, thus

multiplier = 100 + 3 = 103% = \frac{103}{100} = 1.03

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WILL MARK BRAINLIEST <br><br> what is the domain of (f/g) (x)?
tatyana61 [14]

Given that f(x) = \sqrt{7-x} and g(x) = \sqrt{x + 2}, we can say the following:

\Bigg(\dfrac{f}{g}\Bigg)(x) = \dfrac{f (x)}{g(x)} = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}


Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).


Thus, let's set what is under both square roots to be greater than 0:

\sqrt{7 - x} \Rightarrow 7 - x \geq 0 \Rightarrow x \leq 7

\sqrt{x + 2} \Rightarrow x + 2 \geq 0 \Rightarrow x \geq -2


Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.

x \leq 7 \,\,\cup x \geq -2 = \boxed{-2 \leq x \leq 7}


Now, let's look back at the function entirely, which is:

\Bigg( \dfrac{f}{g} \Bigg)(x) = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}

Since \sqrt{x + 2} is on the bottom of the fraction, we must say that \sqrt{x + 2} \neq 0, since the denominator can't equal 0. Thus, we must exclude \sqrt{x + 2} = 0 \Rightarrow x + 2 = 0 \Rightarrow x = -2 from the domain.


Thus, our answer is Choice C, or \boxed{ \{ x | -2 < x \leq 7 \}}.


<em>If you are wondering why the choices begin with the x | symbol, it is because this is a way of representing that x lies within a particular set.</em>

6 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?

17. Which window is to be selected to get information about the elements in

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
2 years ago
What is the equation of this line in standard form?
Tanya [424]
I believe the answer is 6x-7y=-11
4 0
3 years ago
Read 2 more answers
A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveli
Snezhnost [94]

<em>The question has missing details. However, general questions that could be asked is as follows:</em>

<em>(1) The number of miles traveled after using (say) 5 gallons</em>

<em>(2) The number of gallons used after traveling for (say) 36 miles</em>

Answer:

See Explanation

Step-by-step explanation:

Given

s = 120 - 12r

A linear equation is represented as:

y = c + mx

Where

c =y\ intercept and

m = slope.

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

s = 120 - 12r

s = 120 - 12 * 5

s = 120 - 60

s = 60

<em>60 miles traveled</em>

Solving (b): s = 36

s = 120 - 12r

36 = 120 - 2r

Collect like terms

2r =120 -36

2r =84

Solve for r

r = 42

<em>42 gallons used</em>

4 0
3 years ago
Assuming x=0 and y=0, what is the quotient of 24^6y^2 + 16x^4y^3 + 8x^2y^4
Tcecarenko [31]
There is no quotient: if x is equal to zero, then your problem would simplify to a number divided by zero. As it is impossible to divide by zero, there is no answer.

6 0
3 years ago
Read 2 more answers
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