1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tester [92]
2 years ago
13

I need help please 36 points

Mathematics
1 answer:
geniusboy [140]2 years ago
5 0

Using the power of zero property, we find that:

a) The simplification of the given expression is 1.

b) Since , equivalent expressions are:  and .

--------------------------------

The power of zero property states that any number that is not zero elevated to zero is 1, that is:

Thus, at item a, , thus the simplification is .

At item b, equivalent expressions are found elevating non-zero numbers to 0, thus  and .

You might be interested in
1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):
Aleksandr [31]

1) y=-0.5x-2


The graph of the above equation is attached in the attachment below.  

For all the values from negative infinity to -4, the function is positive.  

X ∈ (-∞,-4]


2) y=-1.5x+3


To find the x- intercept, plug y =0  

0=-1.5x+3


1.5x=3


x=2


x intercept = (2,0)


To find the y- intercept, plug x=0  

y=-1.5(0)+3


y=3


Y- intercept = ( 0,3)


3) y=13-x


Y- intercept = (0,13)


x- intercept = (13,0)


Area of triangle = \frac{bh}{2}


Area of triangle = \frac{13\times13}{2}


Area = \frac{169}{2} sq unit.


4) The graphs of y=-2x+7 and y=0.5x-5.5 is attached in the attachment below.  

The intersection point is ( 5,-3)


5) A = (-3,0)


B = (4,5)


C = (0,-4)


Slope of AB = \frac{5-0)}{4-(-3)} =\frac{5}{7}


Slope intercept of line y=mx+b


Where, m is the slope and b is the y- intercept.  

Plugging point A and the slope in the y- intercept to find the value of b.  

0=\frac{5(-3)}{7} +b

b=\frac{15}{7}


Equation of line AB: y=\frac{5x}{7} +\frac{15}{7}


Slope of BC = \frac{-4-5}{0-4} =\frac{9}{4}


Plug C = (0,-4)  

-4=0+b


b=-4


equation of line BC= y=\frac{9x}{4} -4


Slope of line AC = \frac{-4-0}{0--3} =\frac{-4}{3}


Equation of line AC = y=\frac{-4x}{3} -4


Y intercept of AB = (0,\frac{15}{7} )




5 0
3 years ago
Read 2 more answers
What is the y and x intercepts .
hichkok12 [17]

Answer:

y-intercept: (0, -5)

x-intercepts: (-5, 0) , (1, 0)

4 0
2 years ago
If a bill totals 123.85 with 5% tax and 18% tip what is the total bill
lianna [129]

Answer:

$152.33

Step-by-step explanation:

123.85 x 0.05 = $6.19

123.85 x 0.18 = $22.29

123.85 + 6.19 + 22.29 = $152.33

6 0
2 years ago
V + 9<br> ---------- = 8 <br> 3<br><br> Can someone help me ??
bagirrra123 [75]
\frac{v + 9}{3} = 8

Multiply both sides by 3, because 3 is our denominator (bottom number in a fraction), and we want to get rid of the denominator.

3 × (v + 9) = 8 × 3

Simplify.

3v + 27 = 24

Then, subtract both sides by 27.

3v = 24 - 27

Simplify.

3v = -3

Divide both sides by 3.

v = -1

~Hope I helped!~
4 0
3 years ago
The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and
-Dominant- [34]

Answer:

The actual dimensions of the kitchen are 12\ ft by 14\ ft

Step-by-step explanation:

step 1

Find the scale  of the drawing

To find the scale , remember that is equal to the ratio of  the corresponding dimension in the drawing divided by the corresponding actual dimension

so

\frac{0.8}{4}\frac{in}{ft}=0.2\frac{in}{ft}

step 2

To find the actual dimensions of the kitchen, divide the dimension in the drawing by the scale

so

2.4\ in=2.4/0.2=12\ ft

2.8\ in=2.8/0.2=14\ ft

6 0
2 years ago
Other questions:
  • What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter. The figure is not drawn to scale.
    12·2 answers
  • Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 6, ST = 9, TU = 7, UV = 15, and VR = 14?
    6·1 answer
  • 8 + x + y = 8 + y + x. This is an illustration of which property?
    15·2 answers
  • The expression 4x^8 • 7x^6 simplifies to Ax^n. What is the value of n
    6·1 answer
  • Simplify the expression 5/x^-2y^5
    11·1 answer
  • The function f(x) is given by the set of ordered pairs.
    12·1 answer
  • Solve this equation.<br> 5x-2y=3<br> y=2x
    8·1 answer
  • HELLLLPPPPPPPPPPPPPPPPPPPPPPP PLS
    9·2 answers
  • The population of a nearby town dropped from 7,500 to 6,000 in one year.
    10·1 answer
  • F(x)=x^2+1 <br> g(x)=5-x <br> (f+g)(x)=
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!