what is 6 to the negative 1 times (-2) to the third power times (-4) to the negative 2

Answers

Answer 1

The answer is: [tex] \frac{1}{12} [/tex] .
____________________________________________
Explanation:
____________________________________________
We have: " 6⁻¹ * (-2)³ * (-4)⁻² = ? " ;
_______________________________________
Note: "6⁻¹ = [tex] \frac{1}{6^1} [/tex] = [tex] \frac{1}{6}[/tex] " .

Note the following property of exponents:
____________________________________
a⁻ˣ = [tex] \frac{1}{x^a} [/tex] ; {x ≠ 0}.
____________________________________________
Note: (-2)³ = (-2)*(-2)*(-2) = 4*(-2) = -8 .
_______________________________________
Note: (-4)⁻² = [tex] \frac{1}{(-4)^2} [/tex] ;

= [tex] \frac{1}{(-4)*(-4)} [/tex] ;

= [tex] \frac{1}{16} [/tex] ;
____________________________________
So; we have:
_____________________________________
6⁻¹ * (-2)³ * (-4)⁻² ;

= [tex] \frac{(1*8*1)}{(6*16)} [/tex] ;

→ Cancel out the "8" in the "numerator" (to a "1") ; and the "16" in the number (and change to a "2"); since: {"16÷8 = 2" ; and since: "{8÷8=1"} ;

→and we have:

[tex] \frac{(1*1*1)}{(6*2)} [/tex] ;

= [tex] \frac{1}{12} [/tex] .
_____________________________________
→ The answer is: [tex] \frac{1}{12} [/tex] .
_____________________________________

Related Questions

In triangle ABC, the measure of angle A is , the measure of angle B is , and the measure of angle C is . What is the combined measure of the three angles?

Answers

Final answer:

The combined measure of the three angles in triangle ABC is angle A + angle B + angle C degrees.

Explanation:

The combined measure of the three angles in triangle ABC can be found by summing the measures of angle A, angle B, and angle C.

So, the combined measure of the three angles is angle A + angle B + angle C = angle A + angle B + angle C degrees.

For example, if angle A = 40 degrees, angle B = 60 degrees, and angle C = 80 degrees, then the combined measure of the three angles would be:

40 + 60 + 80 = 180 degrees.

Learn more about Angles in a triangle

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For
5(x − 4)2,
the order of operations requires that we multiply
(x − 4)(x − 4)
before multiplying by the numerical coefficient 5. Use the order of operations in this exercise. (Simplify your answer completely.)

2(x + 3)2

Answers

5(x − 4)^2

5(x - 4)(x - 4)

5(x^2 - 8x + 16)

5x^2 - 40x + 80

Did you follow?

Given the two expressions shown below:
A. square root of 3 + square root of 2
B. square root of 3 + square root of 6

Which statement best describes the two expressions?

A. both rational
B. both irrational
C. A is rational and B is irrational
D. A is irrational and B is rational

Plz help Thanks for Everything Guys

Answers

C. A is rational and B is irrational

A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a red marble from the bag and then classify the probability of picking a red marble as likely or not likely to occur.

Answers

there are 10 green and 4 blue which give you 6 red. so 30% and not as likely as green.

Hello!!

This is the correct answer.

Probability (Blue Marble) = 20%

Probability (Green Marble) = 50%

Probability (Red Marble) = ?

20% - 50% = 30%

The probability of picking a red marble from the bag is 30%.

Likely is defined as 50% so in this case, the probability of picking a red marble is not likely.

Hope this helps!!!!

*Don't forget to mark brainliest to best answer.

Please answer, , I need this by 10:00, thank you!

Answers

(2, 7) abd (5, 1)

Let m = slope

m = (1 - 7)/(5 - 2)

m = (-6)/(3)

m = -2

Use the slope and one of the points to plug into the point-slope formula.

I will use the point (5, 1).

y - 1 = -2(x - 5)

y - 1 = -2x + 10

The equation is

y = -2x + 11

what is 21divided by 7/4

Answers

21/1 divided by 7/4 = 21/1 x 4/7 = 12.

Hope this helped my guy.

What is 9.27 with a repiton bar over the 27 simplified to as a fraction?

Answers

That will be 3/11.

According to your question. It is incorrect. You meant repetitive.

https://socratic.org/questions/how-do-you-convert-0-27-27-repeating-to-a-fraction

This will prove my answer correct.

The answer to your problem is 3/11

Write using algebra.

A bucket holds c liters of water, but a jar holds 8 liters less. How many times as much water can the bucket hold as the jar?

Answers

The ratio representing how many times as much water the bucket can hold as the jar is [tex]\frac{c}{c-8}[/tex], where c is the capacity of the bucket in liters.

If a bucket holds c liters of water and a jar holds 8 liters less than the bucket, then the jar holds c - 8 liters of water. To find how many times as much water the bucket can hold as the jar, we divide the bucket's capacity by the jar's capacity. This gives us the ratio of the bucket's capacity to the jar's capacity, which is [tex]\frac{c}{c-8}[/tex].

A right rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. The diagonal of the base is 13 inches.
The area of the cross section that is perpendicular to the base and created by a plane that slices the prism through the diagonals of the base and its opposite face is _ ?
square inches.

Answers

I think that would be a rectangle with sides 13 and 8 Which = 104 ins^2

Answer:

Area of cross section is 104 [tex]\:inche^2[/tex]

Step-by-step explanation:

Given Dimensions of Rectangular prism are Length = 5 inches, Width = 12 inches and Height = 8 inches.

The shape of the cross section that is perpendicular to the base and created by slicing the prism through diagonals of top and bottom is Rectangle.

Length of rectangle = Length of diagonal of base & top = 13 inches

Width of Rectangle = Height of Prism = 8 inches

Area of Cross Sectional Rectangle = Length × Width

= 13 × 8

= 104 [tex]\:inche^2[/tex]

Therefore, Area of cross section is 104 [tex]\:inche^2[/tex]

You start out driving from your house to an old friend’s house in a different town, which is 280 miles away. After an hour and a half, you have gone 105 miles.

a) Assuming your speed is constant, find a linear function , which gives the distance from your house (in miles) as a function of time (in hours).

b) Find and interpret D(1).

c) Solve D(t)=280

d) Solve D(t)^3>=140 and interpret the result.

e) Considering the context of this function, what is the domain?

f) What is the range?

Answers

Part A:

Given that after an hour and a half, you have gone 105 miles and that your speed is constant, this means that the slope which represents the speed with which you are driving is given by

[tex] \frac{105}{1.5} =70 \ miles \ per \ hour[/tex]

At 0 hours, he has travelled 0 miles.

The equation of a straight line is given by y = mx + c, where m represent the slope and c is the y-intercept (the value of y when x is 0).

Therefore, a linear function , which gives the distance from the house (in miles) as a function of time (in hours) is given by D = 70t.

Part B:

D(1) is the value of D when t = 1.

D(1) = 70(1) = 70

This means that the distance traveled after 1 hour is 70 miles.

Part C:

D(t) = 280 means the time it takes you to travel 280 miles.

70t = 280

t = 280 / 70 = 4

t = 4.

Part D:

[tex]D(t)^3 \geq 140 \\ \\ \Rightarrow 70t^3 \geq 140 \\ \\ \Rightarrow t^3 \geq \frac{140}{70} =2 \\ \\ \Rightarrow t \geq \sqrt[3]{2} [/tex]

Part E:

The domain is a set of the possible values of the independent variable, from the context of the function, the independent variable is the time it took him for the journey.

Therefore, the domain of the function is [0, 4].

Part F:

The range is the set of the possible values of y, y in the context of the question is the distance travelled at each particular time.

Therefore, the range of the function is [0, 280].

a) D(t)=70t. To find this, consider that we traveled 105 miles in the first 1.5 hours. Since the speed is constant, we simply divide the 105 miles by the 1.5 hours. 105/1.5=70, which tells us we are going 70 mph. To express this as a function, we write the speed of travel (70) times the number of hours (t). Thus D(t)=70t. b) D(1)=70. This means that we traveled 70 miles after one hour. To find this, plug in 1 hour for t and simplify: 70(1)=70. c) t=4. To solve this, set 280=70t and solve for t. 280/70=4. d) t=.0741784872. To solve, take the cube root of both sides. This gives us D(t)=5.192494102. This can be written 70t=5.192494102. Dividing both sides by 70 we get that t=0741784872. e) Domain is t-interval [0,4]. To find this, consider that the trip is 280 miles and we are traveling at 70 mph. Dividing 280 by 70, we see that we will make the trip in 4 hours. Thus our trip starts at t=0 and ends at t-4. f) Range is the D-interval [0,280]. To find this, consider that the domain is [0,4]. d(0)=0 and D(4)=280. Thus the range is [0,280].

What is the answer of this question 67% of 8.7=

Answers

5.829

8.7 x 0.67 = 5.829

Hope this helps

its 5.829
Since percentages are often thought of as parts of a larger whole thing, there can a tendency to divide instead of multiply when faced with a problem such as "find 35% of 80." As the example below shows, after converting the percent to a decimal, the next step is to multiply, not divide.
so all your doing is multiplying

Marlene rides her bicycle to her friend Jon's house and returns home by the same route. Marlene rides her bike at constant speeds of 6 mph on level ground, 4 mph when going uphill and 12 mph when going downhill. If her total time riding was 2 hours, how far is it to Jon's house?

Answers

x = level ground

y = hills

x/6 +y/4 +y/12 + x/6 = 2 hours

multiply everything by 12 to get rid of the denominators:

equation becomes 2x +3y +y +2x = 24

combine like terms:

4x +4y = 24

divide everything by 4

f +h = 6 miles to Jon's house

Jon's house is 6 miles further away from Marlene's house.

Given that:

Speed on level ground is 6 mph

Speed on uphills is 4 mph

Speed on downhills is 12 mph

Let there are x miles level ground and y miles hills(either up or low, which while returning to home will serve as low or up respectively) in the route, then the whole route's length is x + y miles.

Since time taken = distance/speed , thus we have:

[tex]2 = \dfrac{x}{6} + \dfrac{y}{4} + \dfrac{x}{6} + \dfrac{y}{12}\\\\\text{Multiplying 12 on both sides}\\\\24 = 4x + 4y\\6 = x + y[/tex]

Since x + y denotes the length of the whole route(one sided), thus, Jon's house is 6 miles further away from Marlene's house.

Learn more here:

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Find the value of x so that the function has the given value.

h(x)=−7x ; h(x)=63

Answers

Us x=-9

you get this by dividing 63/-7

The value of x for which the function h(x) = - 7x is h(x) = 63 is - 9.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, h(x) = -7x and h(x) = 63.

∴ We can equate these two functions as h(x) = h(x) which is,

- 7x = 63.

- x = 63/7.

- x = 9.

x = - 9.

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need help with some questions please

Answers

12 is green and blue
13 is: 3 blocks of red and one block of blue as 40 is distributed into 2^3•5
14: Because there isn’t a color for 13
15:60,30,2,2,15,2,2,2,3,5

A music store sold 10 to the third CDs and ten to the second CDs players if each CD costs $12 and each CD player costs $35, what was the stores total earnings

Answers

10^3 CDs with CD = $12 then total CDs earnings is (10^3)(12) = $12,000
10^2 CD players with CD plater = $35 then total CD player earnings is (10^2)(12) = $1,200
Total store earnings = ($12,000 + $1,200) = $13,200

Translate the problem into a mathematical sentence, using f as your variable name. Do not use spaces in your answer. (If necessary, use a star [ * ] for multiplication, or a slash mark [ / ] for the division bar.)Jay is making a documentary on the opinions of Cortland residents toward a local sports team. If he talks to 8 people, and each interview lasts 3 minutes, how long will the film be?Answer:

Answers

if you multiply those 8 (people) by 3 (the time each person gets in the interview)
you get 24 mins.

written as a mathematical sentence that would be: f=8*3

-hope it helps

47% percent simplest form

Answers

47% simplest form

47/100

47/100 percent simplest form

Use exponents to write the number 64 three different ways

Answers

8^2
4^3
(the ^ means the number after is the exponent)

8 ^ 2

4^ 3

2^6

those are your three ways hope that helps

Determine the slope of the line that passes through the points: x−4034y−351113

Answers

excuse me if im wrong (bc its been years since i did this in 5th grade and im in high school now) but it should be: y=4034x+351,113

Explain the steps when solving 3(N+5)>= 3n+8. Please explain how to solve.

Answers

1. distribute .
3(N+5)
3n +15
2. Switch variables to make one .
3n-3n = n
NEW EQUATION ::
5= n+8
3. bring numebers to make one .
8-5=3
n=3

10. Solve the equation for f. Show all of your work.
4f-5=7h+g

Answers

4f-5=7h+g
add 5
4f= 7h + g + 5
divide by 4 to get f by its self
f = 1/4g + 7/4h + 5/4

A student answers
90%
of the questions on a math exam correctly. If
sheshe
answers
27
questions correctly, how many questions are on the exam?

Answers

So, we have the percentage she gets which is, 90% and the number of questions she answers correctly, which is 27

To find the number of questions in the exam, make an equation
(90% = [tex] \frac{90}{100} [/tex] = 0.9)
[tex] \frac{90}{100} [/tex] = [tex] \frac{27}{x} [/tex]
cross multiply and equate them
90x = 27 x 100
90x = 2700
divide by 90 on either sides to isolate x in order to find the answer
[tex] \frac{90x}{90} = \frac{2700}{90} [/tex]
90 and 90 cancels out
x = 30
So your final answer will be, there were 30 questions in the exam paper.

Final answer:

To find the total number of questions on the exam, set up a proportion 27 / x = 90% / 100%. Solve for x to find that there are 30 questions on the exam.

Explanation:

To find the total number of questions on the exam, we can set up a proportion. Let's represent the total number of questions on the exam as x.

The proportion would be:

Correctly Answered Questions / Total Questions = Percentage Correct

Substituting the given values:

27 / x = 90% / 100%

Cross multiplying:

27 * 100% = x * 90%

27 = 0.9x

Dividing both sides by 0.9:

x = 27 / 0.9

x = 30

Therefore, there are 30 questions on the exam.

A family budgets 1/2 of its income for housing and 1/3 for food. What fraction of their budget do these expenses cover?

Answers

1/2 of the income goes for housing.
1/3 of the income goes for foor.

The sum of these fractions are their expenses.
Note that
[tex] \frac{1}{2} = \frac{3}{6}, \, and \, \frac{1}{3}= \frac{2}{6} [/tex]

Therefore the fraction of the budget is
[tex] \frac{1}{2}+ \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6} [/tex]

Answer: 5/6

solve the equation for y

5 ( y + 1 ) = 30

y = ??

Answers

Hi again :)

5(y + 1) = 30
Once again, use the distributive property
(5)(y) + (5)(1) = 30
5y + 5 = 30
Add -5 to both sides
5y + 5 - 5 = 30 - 5
5y = 25
Divide both sides by 5
5y/5 = 25/5
y = 5

Best of luck!

The answer for the following problem is 5

Which number is not in scientific notation? 11 ⋅ 1021 5.7 ⋅ 109 3.1 ⋅ 10−12 1.67 ⋅ 10−5

Answers

11 * 10^21 is not in scientific notation.

Scientific notation requires that the digits part is greater than zero and less than 10 (it cannot be 10).

So, to put that number in scientific notation 11 must be converted to 1.1*10 and 11 * 10^21 is 1.1 * 10 * 10^21 = 1.1 * 10^22.

Note tha 11 * 10^21 is the same that 1.1 * 10^22 but the last is in scientific notation while the former is not.

All the other numbers have the digit part in the range [1,10), so they are in scientific notation.

Answer:

11 * 10^21

Step-by-step explanation:

I took the test

Find an equation of the line that has a y-intercept of -2 and is perpendicular to the graph of 3x+6y=2

Answers

To do that u need to solve the equation for y
First move the 3x over to get

6y= -3x + 2

Now solve for y by divided by 6

Y= -3/6x + 2/6

A line perpendicular to this equation would have a slope that is the opposite reciprocal, so flip the -3/6 and change the sign

This gives u 6/3 which simplifies to two

The new equation of the line would be y= 2x - 2

-2+3n>-14
A -16/3
B -3
C -20/3
D none of the above

Answers

the answer is B (-3).
-2+3n>-14
+2 +2
3n>-12
n>-4

Find the total cost to the nearest cent $1,500 computer; 7% tax?

Answers

it is 1605

tax is 105

add tht to your original

the answer is 1395 all you need to do is subtract 1500 and 7% and that = 1395

1 __ 6/3 Is less than greater than or =

Answers

Well, 6 / 3 is a solid 2.

So, 1 is less than 6/3
or
1 < 6/3

Hope this helped! ☺♥

1 __ 6/3
1 < 2 (cause 6/3 = 2)

answer
less than

What is 2,117 divided by 3

Answers

The answer is 705.666667. Rounded the answer is about 706. As a fraction it it 705 666667/1000000 (it cannot be simplified any further).
I hope this helps:)

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