Explanation:
The negative exponent means we apply the reciprocal to get the exponent to be positive.
The rule is (a/b)^(-c) = (b/a)^c
That means (1/4)^(-3) = (4/1)^3 = 64 which is a whole number.
Something like 2^(-3) = 1/(2^3) = 1/8 = 0.125 isn't a whole number, so we can cross that off the list. The same goes for choices A and C as well.
Answer:
B
Step-by-step explanation:
1/1 ÷ (1/4)³ = 1 x 4³ = 64
if x+y=12 and xy=27 . find x^3+y^3
pls help with steps
Answer:
Step-by-step explanation:
use formula
x^3+y^3=(x+y)^3-3*x*y(x+y)
=12^3-3*27(12)
=1728-972
=756
Answer:
x^3 + y^3 = 756
Step-by-step explanation:
Given that, x+y=12 and xy=27
We know that,
[tex]( x + y )^3 = x^3 + y^3 + 3xy(x + y)[/tex]
∴ [tex]12^3 = x^3 + y^3 + 3 * 27 * 12[/tex]
[tex]=> 1728 = x^3 + y^3 + 972[/tex]
[tex]x^3 + y^3 = 1728 - 972[/tex]
[tex]==> x^3 + y^3 = 756[/tex]
evaluate2x
X= 5 -3
-4 2
Answer :
Evaluate
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 2 i √ 5 , − 2 i √ 5
Step-by-step explanation:
The net below represents a container.
What solid figure is represented by the net?
Answer:
Triangular prism
Step-by-step explanation:
Triangle baces and Rectangle sides make a Triangular prism.
Please help with this, will give brainliest.
Answer:
Its A y=3
Step-by-step explanation:
Answer:
A- y=3
Step-by-step explanation:
3x+4y=30
3x+5y=33
-3x+-4y=-30
3x+5y=33
-4y=-30
5y=33
y=3
What is the approximate area of a circle with a diameter of 10 in?
A. 314 in2
B. 78.5 in2
C. 31.4 in2
D. 15.7 in2
Answer:
Hello! answer: 78.5 in2
Step-by-step explanation:
IMPORTANT ATTENTION: Im using 3.14 for pi so answers might vary if you are using say 22/7 for pi so please know that since this problem doesn't tell to use a certain method I will use 3.14
area can be found by doing radius × radius × 3.14 so... diameter is just twice the radius so... 10 ÷ 2 = 5 5 × 5 = 25
25 × 3.14 = 78.5 therefore 78.5 is the answer HOPE THAT HELPS!
The approximate area of a circle with a diameter of 10 in is,
⇒ Area of circle = 78.5 in²
Given that;
Diameter of circle = 10 in.
Now, We know that;
⇒ Area of circle = πr²
Where, 'r' is radius of circle.
Here, Diameter of circle = 10 in.
Hence, Radius = 10 / 2 = 5 in
Thus, We get;
⇒ Area of circle = πr²
⇒ Area of circle = 3.14 x (5)²
⇒ Area of circle = 78.5 in²
Thus, The approximate area of a circle with a diameter of 10 in is,
⇒ Area of circle = 78.5 in²
Learn more about the circle visit:
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how to solve 6x - 9 - 2 (1 - x) = x + 9
[tex]x = 2.857[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢ x = \frac{20}{7} \\ ⇢ x = 2.857[/tex]
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex]6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times( - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\ ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S [/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
If Uber charges a $4.15 pickup fee plus $1.12 per mile, which equation can be used to calculate the cost of a ride of
x
x miles?
Answer:
4.15+1.12x
Step-by-step explanation:
So lets go over what we know.
The cost of a pickup is 4.15 dollars.
The cost of the pickup fee increases by 1.12 dollars per mile.
So when we start off, it will orginate as 4.15 dollars.
We know that this price is going to be increased by the other value, so we can write it as:
4.15+
We know that for each mile, this price goes up by 1.12.
If we went 10 miles, for instance, it would be 1.12 10 times, or 11.2 dollars.
So we know that thr 4.15 will be increased by 1.12 times the amount of miles.
Or:
4.15+1.12*m
=
4.15+1.12m.
Hope this helps!
Find the value of x in the figure.
570
(x+23)°
x =
Answer:
Step-by-step explanation:
Assuming you meant
570=(x+23)
570-23=x
547 = x
Find the roots of the Equation 16+x^2=0
Answer:
x = 0 or x = - 16
Step-by-step explanation:
16+x^2=0
x ( x + 16 ) = 0
using the algebra rule a . b = a = 0 and b = 0
x = 0 or x = - 16
so the answer is x = 0 and x = -1 6
Mark brainliest plsssssssssss
Which question is a statistical question? A Which U.S. States have mountains?Which U.S. States have mountains? B Which mountain range do U.S. Citizens most enjoy visiting?Which mountain range do U.S. Citizens most enjoy visiting? C How many mountain ranges are in the U.S.?How many mountain ranges are in the U.S.? D How tall is the tallest mountain in the U.S.?
Answer: C. How many mountain ranges are in the U.S.
Step-by-step explanation:
A statistical question first of all has to have a quantitative response i.e., answers should be in numbers.
The only two questions here that would yield a numeric answer are options C and D.
Furthermore, a statistical question has variability in it which means that the answer is based on multiple observations not just one. The observations in option C are mountain ranges and as the question requires finding out details about multiple mountain ranges, this is a statistical question.
This is opposed to option D which addresses issues surrounding just one mountain.
Round 1.3185 to 1 decimal place
Answer:
1
Step-by-step explanation:
Because 1.38185 is below 1.5 so it rounds to 1
can I have help, please
Amelia needs to buy some dog food. At the nearest store, 2 bags of dog food cost $7.50. How much would Amelia spend on 5 bags of dog food?
Answer: $18.75
Step-by-step explanation: Each bag cost $3.75 individually.
HELP PLEASEEEEEEE
Suppose x = 7 is a solution to the equation 4x – 2(x + a) = 8.
Find the value of a that makes the equation true.
-25
2
3
6
=> 4(7)–2(7+a)=8
=>28–14–2a=8=>14–2a=8=>-2a=8–14=>-2a=-6=>a=3I need help with these too if you help me and graph and tell it how did you get the answer I will give you 20 points.
Answer:
I only know number 11 sorry :(
11. (Image attached)
Step-by-step explanation:
First, I would find the y intercept, which is 4. Next I found the slope of -3 by finding the rise of -3 (3 to left), then the run (1 up).
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Have a good day :)
Mhanifa please help! If I don’t get this done I will fail this class :(
Answer:
#1
x/9 = tan 60°x = 9 tan 60° x = 15.6 m#2
cos θ = 15.1/16.5cos θ = 0.915θ = arccos (0.915)θ = 23.8°#3
10/x = tan 42°x = 10 / tan 42°x = 11.1 mA line, line segment, or ray that intersects a line segment at its midpoint is a segment bisector. True or fals?
Answer:
true.
Step-by-step explanation:
hope this helps, i looked it up :)
a person jogs 1/6 mile in 1/42 hour. what is the person's speed in miles per hour
Find the value of y when x=3.
y=10-3x
y=
Answer:
10
Step-by-step explanation:
(NR) Natural Resources:Question 10
Which statement best describes why large aquifers of groundwater are distributed unevenly
around the earth?
Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.
In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.
Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.
If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people, what is the density of people in the city?
Group of answer choices
A. We cannot calculate this value.
B. 1000 people per square mile
C. 1 person per square mile
D. 100 people per square mile
Answer:
A. We cannot calculate this value.
Step-by-step explanation:
Had it on my test c:
We cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.
What is population density?It is defined as the ratio of the population to the total area. The population density represents the average number of people living on each square unit.
We have:
If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people,
As we know,
population density = number of people/area of the region
As we have a rectangular city,
The area of the city = length×width
Width is not given so we cannot find the area of the region.
Thus, we cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.
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which expression is equivalent to 4+x+x+2x+5+3+x?
A.17x
B.5x+14
C.4x+14
D.2x+15x
[tex]\boxed{B.\:5x\:+\:12}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4 + x + x + 2x + 5 + 3 + x \\ = (x + x + 2x + x) + 12 \\ since \: they \: are \: like \: terms, \: we \: can \: add \: them \\ = 5x + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
What is the 46th term of the arithmetic sequence shown below? -1,-5,-9,-13,-17,-21,...
Answer:
-181
Step-by-step explanation:
According to the arithmetic calculator, it should be this.
A game company gave each customer one game to test and asked whether he or she would recommend the game. What is the probability that a customer who would recommend his or her game tested Game A?
Answer:
1/2 = 0.5
Step-by-step explanation:
Given that the game company gave each customer a single game for testing
There is definitely just two outcomes, i.e. the customer will either recommend the game or Not recommend the game.
since we do not have additional information regarding what might influence the decision of the customer, hence the probability of either recommending the tested game or not recommending the game will be equal
∴P ( recommending tested game ) = 1 - 0.5 = 0.5
Find the surface area. 10 ft 3 ft 5ft
Answer:
5.7 feet i think
Step-by-step explanation:
The perimeter of a regular pentagon is 60 meters. How long is each side of the
pentagon?
Answer and Step-by-step explanation:
To find out how long each side is, divide 60 by 5 (since there are 5 sides in a pentagon).
60 divided by 5 = 12.
Each side is 12 meters long.
#teamtrees #PAW (Plant And Water)
HIE
YA
HHHHHHHH111111111111
Use the calculator to fill
in the table & graph for
the equation y=3x - 2.
6
5
у
3
2
1
1 2 3 4 5 6
0
-6-5-4-3-2-1
-11
-2-
-3
1
2
-5
-6
3
Students, draw anywhere on this slide!
Answer:
y = 3x-2
Step-by-step explanation:
Represent root 2 on the number line
Look at the both picture.
Match each series with the equivalent series written in sigma notation
Answer:
[tex]3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n[/tex]
[tex]4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n[/tex]
[tex]2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n[/tex]
[tex]3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Match equivalent expressions
Solving (a):
[tex]3 + 12 + 48 + 192 + 768[/tex]
The expression can be written as:
[tex]3 \to 3*4^{0[/tex] --- 0
[tex]12 \to 3 * 4^{1[/tex] ---- 1
[tex]48 \to 3 * 4^{2[/tex] --- 2
[tex]192 \to 3 * 4^{3[/tex] ---- 3
[tex]768 \to 3 * 4^{4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term = 3 * 4^{n[/tex] ---- n
So, the summation is:
[tex]3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n[/tex]
Solving (b):
[tex]4 + 32 + 256 + 2048 + 16384[/tex]
The expression can be written as:
[tex]4 \to 4 * 8^0[/tex] --- 0
[tex]32 \to 4 * 8^1[/tex] ---- 1
[tex]256 \to 4 * 8^2[/tex] --- 2
[tex]2048 \to 4 * 8^3[/tex] ---- 3
[tex]16384 \to 4 * 8^4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term \to 4 * 8^n[/tex] ---- n
So, the summation is:
[tex]4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n[/tex]
Solving (c):
[tex]2 + 6 + 18 + 54 + 162[/tex]
The expression can be written as:
[tex]2 \to 2 * 3^0[/tex] --- 0
[tex]6 \to 2 * 3^1[/tex] ---- 1
[tex]18 \to 2 * 3^2[/tex] --- 2
[tex]54 \to 2 * 3^3[/tex] ---- 3
[tex]162 \to 2 * 3^4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term \to 2 * 3^n[/tex] ---- n
So, the summation is:
[tex]2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n[/tex]
Solving (d):
[tex]3 + 15 + 75 + 375 + 1875[/tex]
The expression can be written as:
[tex]3 \to 3 * 5^0[/tex] --- 0
[tex]15 \to 3 * 5^1[/tex] ---- 1
[tex]75 \to 3 * 5^2[/tex] --- 2
[tex]375 \to 3 * 5^3[/tex] ---- 3
[tex]1875 \to 3 * 5^4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term \to 3 * 5^n[/tex] ---- n
So, the summation is:
[tex]3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n[/tex]
ASAP
-WILL MARK BRIANIST
thank you <3
Answer:
d
Step-by-step explanation: