Answers
Given:
The expressions are
(c) [tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3[/tex]
(d) [tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}[/tex]
To find:
The simplified form of the given expression.
Solution:
(c)
We have,
[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3[/tex]
We know that, zero to the power of a non-zero number is always 1. So, [tex]\left(\dfrac{2^4\times 3^6}{12^2}\right)^0=1[/tex]
[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3=(1)^3[/tex]
[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3=1[/tex]
Therefore, the value of the given expression is 1.
(d)
We have,
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}[/tex]
It can be written as
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13^3\times 1}{(65\times 49)^2}[/tex]
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13\times 13\times 13}{(65\times 49)(65\times 49)}[/tex]
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{(5\times 49)(5\times 49)}[/tex]
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{60025}[/tex]
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{60025}[/tex]
Therefore, the value of given expression is [tex]\dfrac{13}{60025}[/tex].
Related Questions
A ladder leans against the side of a house. The angle of elevation of the ladder is 62 degrees and the top of the ladder is 14 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Answers
Answer:
7.4 feets
Step-by-step explanation:
Distance from bottom of ladder to side of the house = d
θ = 62 ; height, h = 14
Using trigonometry :
Tan θ = opposite / Adjacent
Opposite = height ; adjacent = d
Tan 62° = 14 / d
1.8807264 * h = 14
d = 14 / 1.8807264
d = 7.44
Determine the mean, median, and mode for the following data sets. Identify any
possible outliers.
10) Count of blueberries in each bulk size container: { 238, 173, 180, 193, 190, 164,
159, 210}
Answers
238+173+180+193+190+164+159+210=
1,561/8=188.375
Median
159,164,173, 180,190 ,193,210,238
180+190=370/2=185
Mode-no number repeats itself more than once, therefore there is no mode for this data.
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answers
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
Express the function graphed on the axes below as a piecewise function.
Answers
Answer:
Step-by-step explanation:
3x+ 1/3 for x<= -1
6x-27 for x >4
2.) Gene's frying pan Is 14.5 inches in diameter. What is the circumference of his frying pan? (round to the nearest tenth place)
Answers
Vijay has a tub of 500 plastic jungle animals.
Suppose he chooses an animal without looking.
There is a 10% chance he will pick a giraffe.
How many giraffes are in the tub?
Answers
Answer:
50 giraffes are in the tub
Step-by-step explanation:
0.10x500=50
hope this helps, have a good day
9+3s-7z-10z+2s
please help .
Answers
5
s
−
17
z
+
what is 2 pule 16 dived by 16 mulipled by 16
Answers
2+16 /16 x 16
= 2 +1 x 16
= 2 + 16
=18
how do I get the answer to 5/3(-6)
Answers
In ΔMNO, the measure of ∠O=90°, ON = 65, MO = 72, and NM = 97. What is the value of the tangent of ∠M to the nearest hundredth?
Answers
Answer:
what year is this work
Step-by-step explanation:
I don't know sorry. what to help.
Answer:
Therefore the value of tangent of ∠m is .9°.
Reena saves AED 400 from her salary. If this is 10% of her salary. What is her salary?
a) AED 4000 b) AED 6000 c) AED 3000 d) AED 40,000
Answers
4000 x .10= AED 400 therefore 400 is 10% of 4000
our points are labeled on the number line. pls help
pls
P, Q, R, S, negative 2, negative 1, zero, 1, 2
Which point represents the value of the absolute value of negative 1 over 2.?
Answers
Answer:
the answer is point R trust me on this
A trapezoid , having a height of 14 cm , has an area
of 224 cm² . The big base measures 2 cm more than the
small base. What are the lengths of the two bases ?
it should be solved as a system
Answers
Answer:
17 cm and 15 cm.
Step-by-step explanation:
Area of a trapezoid = h/2(a + b) where h = height and a and b are the 2 bases.
so we have:
(14/2)(a + b) = 224 Distributing:
7a + 7b = 224 Dividing thru by 7:
a + b = 32
Also we have
a - b = 2 where a = longest base.
Adding the last 2 equations:
2a = 34
a = 17
So b = 17 - 2 = 15.
Please help me ASAP.
Answers
Answer:
D
Step-by-step explanation:
20 POINTS !
Please help because when I say I’m confused
Answers
Answer:
1. B
2. A
3. C
Step-by-step explanation:
Find the missing length of the triangle. If necessary, round your answer to the nearest tenth
Answers
Answer:
30
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the missing side
a^2 +b^2 = c^2 where a and b are the sides and c is the hypotenuse
x^2 + 40^2 = 50^2
x^2 +1600 = 2500
x^2 = 2500-1600
x^2 = 900
Take the square root of each side
sqrt(x^2) = sqrt(900)
x = 30
Answer:
x = 30
Step-by-step explanation:
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 50^{2} - 40^{2}[/tex]
[tex]a^{2} = 2500 - 1600[/tex]
[tex]a^{2} = 900[/tex]
[tex]\sqrt{a^{2}} = \sqrt{900}[/tex]
a = 30
I’m a bit slow, help please
Answers
who will give the correct answer I will give the brainiest answer
Answers
Answer:
7/24
Step-by-step explanation:
I converted all of the denominators to a common one: 24
15/24 + 6/24 - 14/24 is the new equation
21/24 - 14/24= 7/24
hope this helps chu
[tex] \sf Q) \: \frac{5}{8} + \frac{1}{4} - \frac{7}{12} = {?}[/tex]
[tex] \sf \to \frac{5}{8} + \frac{1}{4} - \frac{7}{12}[/tex]
[tex] \sf \to \frac{(15 +6-14)}{24} = \frac{7}{24} [/tex]
[tex]\sf Hence, \: \frac{7}{24} \: is \: the \: answer.[/tex]
Simplify Using Laws of Exponent (4x^-2)^3
Answers
Answer:
64*x^-6
Step-by-step explanation:
Simplify Using Laws of Exponent (4x^-2)^3
Given data
(4x^-2)^3
Let us open the bracket
=4^3*x^-2*3
=64*x^-6
=64x^-6
Hence the equivalent is
64*x^-6
B
5
E
If G is the midpoint of AB, classify each triangle by its
ANGLES and SIDES.
A. ACFE
B. ABEC
C. ABFG
D. AGAF
Answers
Answer:
ΔCFE is a right triangle
ΔBEC is an acute triangle
ΔBFG is an equilateral triangle
ΔGAF is an obtuse isosceles triangle
En el cumpleaños de Andrea, David comió de la torta 2 5 , Sofí 3 7 , y Julián 1 4 , ¿Qué fracción de torta comieron entre los tres?
Answers
Answer:
Step-by-step explanation:
2/5 + 3/7 + 1/4 = 28/140 + 60/140 + 35/140 = 123/140
Find an expression to represent the area
of the trapezoid below.
Answers
Help answer brainliesttttttttt
Answers
2:15
Amount of problems:How much time.
2·5:15·5
=10:75
So 10 problems in 75 minuets.
HOPE THIS HELPED A LOT!!!!!
Can I have brainiest now???
x = -0.25 and y = -6
Solve the expression: x + 2y
Answers
Answer:
-12.25
Step-by-step explanation:
To solve the expression, plug in -0.25 as x and plug in -6 as y
x + 2y
-0.25 + 2(-6)
-0.25 - 12
= -12.25
So, the solution is -12.25
Write two numbers that multiply to the value on top and add to the value on bottom.
Answers
Answer:
14+9 14×9that is the answer
Consider the system of equations.
4x−3y=−2
2x+3y=6
Which property could be used to write the equation 6x = 4 as the first step to solving the system of equations?
Answer Options:
•Distributive Property of Equality
•Division Property of Equality
•Substitution Property of Equality
•Addition Property of Equality
Answers
what’s the domain and range of this graph?
Answers
Answer:domain: (−∞,∞)
range: [−9,∞)
Step-by-step explanation:
if you apply the changes below to the linear parent function, f(x) = x, what is the equation of the new function?
Answers
Given:
The linear parent function is
[tex]f(x)=x[/tex]
To find:
The new function after vertical stretch by a factor of 4 and flip over the x-axis.
Solution:
The transformation is defined as
[tex]g(x)=kf(x)[/tex] .... (i)
Where, k is either vertical stretch or vertical compression.
If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.
If k<0, then the graph flip over the x-axis.
It is given that the graph of f(x) vertically stretch by a factor of 4. So, |k|=4.
The graph flip over the x-axis. So, the value of k must be negative, i.e., k=4.
Using (i), we get
[tex]g(x)=-4f(x)[/tex]
We have, [tex]f(x)=x[/tex]
[tex]g(x)=-4x[/tex]
Therefore, the correct option is B.
Answer: g(x)= -4x
Step-by-step explanation:
5. For which linear function below does f(-1) = 9 and f(3) = 1?
Answers
At a really nice
restaurant, Seiji
wanted to leave a
20% tip for the
outstanding waiter.
The bill was $75.64.
SHOW WORK!!!
Answers
Answer:
tip = $15.128
Step-by-step explanation:
tip = 75.64 × 20/100
tip = 1512.8/100
tip = $15.128