What is the value of 5^4 over 5^6

Answers

Answer 1

5^4
------
5^6
625
-----
15,625
625/15625=25

Related Questions

A gardener charges an initial fee of $37.50 plus a rate of $44.90 per hour. Write a function that shows the total fees for H hours of work

Answers

37.5 = initial rate
44.9 = slope/rate

In problems like these, just use y = initial rate + rate(variable)
In this case, the answer would be y = 37.5 + 44.9h

What is the coefficient of x7 in the expansion of (1 + x)11?

Answers

You can choose to expand the equation to find the coefficient of x7 but that would take a lot of time. Here is a useful tactic that can help;

11C(something)(1)(x)⁷ ----> This gives the coefficient of x⁷
11C7(1)⁴(x)⁷ ----> You know that pascal's triangle is equal on both sides
11C7×1⁴ = coefficient of x⁷ (just ignore x⁷)
330x1⁴=330

This means that the coefficient of x⁷ is 330. You can double check by expanding the equation. If you do not understand what I did there, you can ask me how I got to the solution.

Hope I helped :)

Final answer:

Using the binomial theorem, the coefficient of x⁷ in the expansion of (1 + x)¹¹ is found by calculating '11 choose 7', which is 330.

Explanation:

The coefficient of x⁷ in the expansion of (1 + x)¹¹ can be found using the binomial theorem. To find the coefficient of x⁷, we look for the term that comes from choosing x seven times in the expansion. This corresponds to the 8th term, because the terms are indexed from 0, where the binomial coefficient is found by calculating "11 choose 7" or C(11, 7).

To calculate "11 choose 7", use the formula:
C(n, k) = n! / [k!(n-k)!], which gives us:

C(11, 7) = 11! / [7!(11-7)!] = 11! / (7!4!) = (11×10×9×8) / (4×3×2×1) = 330

Therefore, the coefficient of x⁷ in the expansion of (1 + x)¹¹ is 330.

Select all that justify the following statement.10 + x • 12 = 12x + 10

Answers

10 + x*12 = 12x+10

since the left side can be re-written as 12x+10 this does equal the right side

so any real number ( any value of x ) will work

Maya made $252 for 12 hours of work. at the same rate, how many hours would she have to work to make $168 ?

Answers

252÷12 = 21
She makes $21 per hour
168÷21=8 hours
She needs to work for 8 hours.

Answer:

Step-by-step explanation:

252/12 = 21

168/ 21 = 8

A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there?

Answers

175760 is the answer

1st digit = 1 of 26 letters

2nd digit = 1 of 26 letters

3rd digit = 1 of 26 letters

4th digit = 1 of 10 special characters

26 x 26 x 26 x 10 = 175,760 possibilities

In the last year a total of 2783 earthquakes occurred in the country. Of these, 85.8% were minor tremors w/ magnitudes of 3.9 or less on the richer scale. How many minor earthquakes occurred in the country last year? Round to nearest whole number.

Answers

First you have to make it into a equation then solve it and go from there.

Use multiplying by 1 to find an expression equivalent to 18/19 with a denominator of 76b.

Answers

76b / 19 = 4b

so we multiply by 4b/4b ( = 1) :-

18 * 4b 72b
---------- = ----- <------ Answer
19 * 4b 76b

A sea turtle swims at a speed of 27 kilometers per hour. A girl swims 14 decimeters per second. 1 m = 10 dm 1000 m = 1 km How much faster does the sea turtle swim than the girl in meters per minute?

Answers

The sea turtle's speed is
[tex]v_{t} = (27 \, \frac{km}{h} )*(1000 \, \frac{m}{km} )*( \frac{1}{60} \, \frac{h}{min} ) = 450 \, \frac{m}{min} [/tex]

The girl's speed is
[tex]v_{g} = (14 \, \frac{dm}{s} )*( \frac{1}{10} \, \frac{m}{dm} )*(60 \, \frac{s}{min} ) = 84 \, \frac{m}{min} [/tex]

The ratio of the turtle's speed to that of the girl is
[tex] \frac{v_{t}}{v_{g}} = \frac{450}{84} =5.357[/tex]

Answer: 5.36 faster (nearest hundredth)

Final answer:

Calculate how much faster a sea turtle swims than a girl in meters per minute by converting their speeds to a common unit and finding the difference.

Explanation:

To find out how much faster the sea turtle swims than the girl in meters per minute, we need to convert their speeds to a common unit. Let's first convert the girl's speed to kilometers per hour:

Girl's speed = 14 decimeters per second = 1.4 meters per second = 5.04 kilometers per hour

Now, we compare the speeds:

Sea turtle speed = 27 kilometers per hour

Girl's speed = 5.04 kilometers per hour

Sea turtle swims 21.96 kilometers per hour faster than the girl. To find how much faster this is in meters per minute:

21.96 km/h * 1000 m/km / 60 min/h = 366 meters per minute

Which situation CANNOT be represented by this equation? -13x+15=9

A-The water level in a tank measures 1515 inches and is decreasing every 1313 of a minute. At what rate, xx, does the water level need to decrease per minute to reach a depth of 99 feet?

B-The water level in a tank measures 99 inches and is rising 1313 of an inch every minute. How many minutes, xx, will it take for the water level to measure 1515 inches deep?

C-The water level in a tank measures 1515 inches and is decreasing 1313 of an inch every minute. How many minutes, xx, will it take for the water level to measure 99 inches deep?

Answers

The equation that can not be represented is B because the variables are mixed up and are not matching with the correct formula.

THE ANSWER IS: PLEASE MARK AS BRAINLIST

The water level in a tank measures 9 inches and is rising 13 of an inch every minute.

How many minutes, x, will it take for the water level to measure 15 inches deep?

if a job pays $45,000 per year, you live in a state where your total tax burden is 22%, and you receive a weekly paycheck, what is your take-home pay from each paycheck?

Answers

Answer:

$190.38 per week

Step-by-step explanation:

45,000 x .22 (the tax) is 9,900

9,900 / 52 (weeks in a year) is 190.384

Rounded, your answer is $190.38 per week

Which equation has the steepest graph

Answers

i know it is between b and c i am not sure cause they are both similar in the way they look but if i had to choose maybe B
sorry if its wrong, then its c

Answer:

Step-by-step explanation:

What is the simplified form of the expression? -(4)^-2

Answers

Answer:

The given expression [tex]-\left(4\right)^{-2}[/tex] becomes [tex]-\frac{1}{16}[/tex]

Step-by-step explanation:

Given : Expression [tex]-\left(4\right)^{-2}[/tex]

We have to write the simplified form of the given expression [tex]-\left(4\right)^{-2}[/tex]

Consider the given expression [tex]-\left(4\right)^{-2}[/tex]

Apply exponent rule , [tex]\:a^{-b}=\frac{1}{a^b}[/tex]

[tex]4^{-2}=\quad \frac{1}{4^2}[/tex]

[tex]\frac{1}{4^2} =\frac{1}{16}[/tex]

Thus, The given expression [tex]-\left(4\right)^{-2}[/tex] becomes [tex]-\frac{1}{16}[/tex]

solve the system
x+3y=5
x+4y=6

A) (2,1)
B) (1,5)
C) (8,-1)
D (11,-2)

Answers

So you have the equations
x + 4y = 6
x + 3y = 5
Subtract the two equations.

You get y = 1.
The only answer with a value of y = 1 is A

A is your answer.
Have a nice day! :)

Answer:

A(2,1)

Step-by-step explanation:

We are given that system of equation

[tex]x+3y=5[/tex]

[tex]x+4y=6[/tex]

We have to solve the system

Subtract equation first from equation second

Then, we get

[tex]y=1[/tex]

Substitute the value of y in equation I

Then, we get

[tex]x+3(1)=5[/tex]

[tex]x=5-3=2[/tex]

Hence, the option A is true.

Answer:A(2,1)

what number should the fraction 7/8 be multiplied by in order to equal 1

Answers

It's reciprocal
(7/8) * (8/7) = 1

The solution is 8/7

The number which should by multiplied with 7/8 to get 1 is 8/7 or the reciprocal of the number

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as = N

The value of n is given by

The number ( 7 / 8 ) x N = 1

On simplifying the equation , we get

( 7/8 ) x N = 1

Multiply by 8 on both sides of the equation , we get

7N = 8

Divide by 7 on both sides of the equation , we get

N = 8/7

Therefore , the number N is 8/7

Hence , the number is 8/7 or reciprocal of 7/8

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Bronson builds a rectangular deck for his friend. the width of the deck is 29 feet. the perimeter of the deck must be at least 134 feet.

a. write an inequality that represents all possible values for the length of the deck.

b. find all possible values for the length of the deck.

Answers

Answer: a) Greater than or equal to 38 feet b)Since there is no restriction on the perimeter there exists many possible values for the length of the deck. Explanation: Given that the width of the deck is 29 ft. and the perimeter of the deck is at least 134 ft. 134 = 2(length + width) 134 = (2 x length) + (2 x 29) 134 = (2 x length) + 58 2 x length = 134 - 58 2 x length = 76 length = 76 / 2 length = 38 ft Thus, the inequality will be: a)Length â‰Ą 38 ft b)since there is no restriction on the perimeter there exists many possible values for length of deck.

which statement is true about this argument ?
premises:
If a quadrilateral is a square, then the quadrilateral is a rectangle.
If a quadrilateral is a rectangle then the quadrilateral is a parallelogram.

conclusion:
If a quadrilateral is a square, then the quadrilateral is a parallelogram.

A. the argument is not valid because the premises are not true.
B.the argument is valid by the law of syllogism
C. the argument is valid by the law of detachment
D. the argument is not valid because the conclusion does not follow from the premises.

Answers

It's good to review the laws of syllogism and detachment.

Law of detachment:
Statement 1: If p then q.
Statement 2: p is true.
By the law of detachment, you can conclude "q is true."

Law of syllogism:
Statement 1: If p then q.
Statement 2: If q then r.
By the law of syllogism, you can conclude "If p then r."

Now look at which of the two cases above you have.
Statement 1: If a quadrilateral is a square, then the quadrilateral is a rectangle.
This is "if p then q."

Statement 2:
If a quadrilateral is a rectangle then the quadrilateral is a parallelogram.
This is "if q then r."

You have
If p then q.
If q then r.

This is what you need for the law of syllogism.

That means you can conclude "if p then r", which in this specific case is
"If a quadrilateral is a square, then the quadrilateral is a parallelogram."

The answer is that it is a valid argument by the law of syllogism.

The statement that is true about this argument is B. The argument is valid by the law of syllogism.

The law of syllogism means that an argument can be based on deductive reasoning. In such a case, there are premises and a conclusion.

A quadrilateral is a shape that has four sides. Therefore, based on the premises given, a quadrilateral is a square, then the quadrilateral is a parallelogram.

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Triangle ABC is shown below.

What is the length of line segment AC?

7
9
14
18

Answers

the answer u looking for is 14

Answer:

Option C. AC = 14 units

Step-by-step explanation:

In the given triangle ABC shown in the figure ∠ABC = ∠ACB

Since angles are equal so opposite sides of equal angles will be equal.

Now mAB = mAC

By putting values in terms of x

2x = 3x - 7

x = 7

Now mAC = 3x - 7

By putting value of x = 7

mAC = 3×7 - 7 = 21 - 7 = 14

Therefore length of line segment AC is 14 units.

In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 17 prospective jurors?

Answers

The answer is C(17,12) * C(5,2).

Explanation:

The 12 jurors from 17 prospective can be chosen in C17,12 ways.

That is: 17! / [12! (17 - 12)! ] = (17*16*15*14*13) / (5*4*3*2*1) = 6188 ways

The 2 alternates are chosen from a group of 17 - 12 = 5. Thas is C5,2

C5,2 = 5! / (2! 3!) = 5*4 / 2 = 10

So, the total number of ways is 6188 * 10 = 61880 ways.

Answer: 61880.

Final answer:

To find the different ways of choosing a panel of 12 jurors and 2 alternates from 17 prospective jurors, calculate the combinations separately (C(17, 12) for jurors and C(5, 2) for alternates) and multiply them, yielding a total of 61,880 different ways.

Explanation:

The question asks in how many different ways a panel of 12 jurors and 2 alternates can be chosen from a group of 17 prospective jurors. To solve this, we use the concept of combinations in mathematics. Since the order in which we select the jurors and alternates does not matter, we are dealing with combinations, not permutations.

First, we choose the 12 jurors from the 17, which is the combination of 17 taken 12 at a time. This can be calculated using the formula for combinations:
C(n, k) = n! / (k! * (n - k)!),
where 'n' is the total number of items, 'k' is the number of items to choose from, and '!' denotes factorial.

For the 12 jurors, we compute C(17, 12) which equals 17! / (12! * (17 - 12)!) = 17! / (12! * 5!) = 6188.
Next, we need to choose 2 alternates from the remaining 5 jurors. The calculation is C(5, 2) which equals 5! / (2! * (5 - 2)!) = 5! / (2! * 3!) = 10.

Since choosing jurors and alternates are independent events, we multiply the two combinations to get the total number of different ways to choose the panel:

6188 (ways to choose jurors) * 10 (ways to choose alternates) = 61,880 different ways.

here you go the brainless

Answers

Subtract the y-coordinates: -2 - 3 = -5
Subtract the x-coordinates in the same order: 1 - 1 = 0

slope = (difference in y)/(difference in x) = 5/0

Since the slope ends up as division by zero, and division by zero is undefined, the slope of this line is undefined.

Hint for future:
Vertical line: undefined slope
Horizontal line: zero slope
Line tilts up to the right: positive slope
Line tilts down to the right: negative slope

Chris's uncle has a model car. the model is 6 inches long and 3 inches wide. the actual car is 75 inches long. what is the car's actual width, if we assume the model's proportions are accurate? if necessary, round to the nearest tenth of an inch.

Answers

37.5 inches If the model is an accurate scale model, then the ratio of a dimension in the model to the dimension in real life will remain a constant. So we have 6/75 = 3/X where 6 = length of model 75 = length of actual car 3 = width of model X = width of actual car Solving for x, gives 6/75 = 3/X 6 = 225/X 6X = 225 X = 37.5 So the actual car width is 37.5 inches.

I believe the right answer would be 37.5

which factorization is equivalent to 6x squared + 7x - 10?

Answers

We want to factorize 6x² + 7x - 10

Note that
6x² = x * 6x or 3x * 2x
10 = 2 * 5 or 1 * 10
We can obtain 7x as (6x)*(2) - (x)*(5) = 12x - 5x = 7x.

Therefore
6x² + 7x - 10 = (6x - 5)(x + 2)

Answer: (6x - 5)(x + 2)

Patricia donated 1 pint of blood to the blood bank.The lab assistant divided patricia's blood equally into 3 bags.How much blood was in each bag?

Answers

If one pint was in 3 bags equally each bag would have 10.67 ounces.

Each bag contained [tex]$\frac{1}{3}$[/tex] pint of blood.

To solve the problem, we need to divide the total amount of blood donated by Patricia equally into 3 bags. Patricia donated 1 pint of blood.

Since there are 3 bags, we divide 1 pint by 3 to find out how much blood is in each bag. The division is straightforward:

[tex]\[ \frac{1 \text{ pint}}{3 \text{ bags}} = \frac{1}{3} \text{ pint per bag} \][/tex]

Therefore, each bag contains [tex]$\frac{1}{3}$[/tex] pint of blood. This is the simplest form of the fraction, and there is no need to convert it to a different unit or simplify it further. The answer is [tex]$\frac{1}{3}$[/tex] pint per bag.

A coach needs both small and large cones to set up an obstacle course. The coach knows that there are fewer than 30 cones in the storage room. The coach needs at least a dozen large cones.

Let x represent the number of small cones and y represent the number of large cones.

Which inequalities model the situation? Select each correct answer.
x+y≤30
x>0
x+y<30
y≥12
y>12

Answers

Since they are FEWER than 30 total cones, the sum of x small cones and y large one must be LESS THAN 30: x+y <30
He needs AT LEAST a dozen (12), so that means that 12 will work or more than 12:
[tex]y \geqslant 12[/tex]

Answer: The correct options are,

x+y < 30

y ≥ 12

Step-by-step explanation:

Here, x represent the number of small cones and y represent the number of large cones.

∵ Large cones are at least 12,

⇒ y ≥ 12,

Now, total cones = x + y

∵ There are fewer than 30 cones,

I.e. x + y < 30,

Now, number of cones can not be negative,

⇒ x, y ≥ 0

Evaluate each expression below.
Click on "Undefined" as needed.
0/9=
3÷0 =

Answers

0/9 = 0 and 3/0 = undefined. Any number divided by 0 is undefined, while 0 divided by any number is just 0.

Final answer:

The value of 0 divided by 9 is 0, while the value of 3 divided by 0 is undefined because division by zero does not result in a finite number in mathematics.

Explanation:

The expressions presented here involve division, a basic operation in mathematics. Let's evaluate each one respectively.

0/9 = 0: This is because zero divided by any number equals zero. 3 ÷ 0 = Undefined: Division by zero is undefined in mathematics because there is no number that you can multiply by 0 to get a non-zero number.

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Given the parent functions f(x) = 3x + 2 and g(x) = 5x − 10, what is g(x) − f(x)?

g(x) − f(x) = 5x − 8 − 3x

g(x) − f(x) = 5x − 12 − 3x<--------------------

g(x) − f(x) = 3x − 8 − 5x

g(x) − f(x) = 3x + 12 − 5x

Points earned on this question: 2

Answers

B IS YOUR ANSWER
(PROOF)
f(x) = 3x + 2
g(x) = 5x - 10

g(x) - f(x) = (5x - 10) - (3x + 2)
g(x) - f(x) = (5x - 3x) + (-10 - 2)
g(x) - f(x) = 2x - 12

Answer:

Option B. g(x) - f(x) = 5x - 3x - 12

Step-by-step explanation:

In this question the given functions are

f(x) = 3x + 2

g(x) = 5x - 10

Now we have to calculate the value of g(x) - f(x)

g(x) - f(x) = (5x - 10) - (3x +2)

= 5x - 10 - 3x - 2

= (5x - 3x) - (10 + 2)

= 5x - 3x - 12

Option B. (5x - 3x - 12) is the answer.

HELP WITH THESE MATH PROBLEMS

Answers

Where’s the picture at ?

check the picture below.

keep in mind that, a maximum is a "peak" or a "spike" point, and a minimum is a "dive" or a sink-hole point, and the extrema value is pointed out by the x-value at that point.

how would solve 2s + s = 36

Answers

2s + s = 36
3s = 36
s = 36/3
s = 12

Two pounds is equivalent to approximately how many kilograms

Answers

About 0.907 kg is equivalent to 2 pounds

Solve for the width in the formula for the area of a rectangle.
formulas
1. w = A - L
2. w = AL
3. w = L/A
4. w = A/L

Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.
1. 2.5 inches
2. 4.2 inches
3. 12.6 inches
4. 25.2 inches

Answers

A = L * W
A / L = W <==

when A = 42 and W = 16.8
A / L = W
42/16.8 = W
2.5 = W <=== width = 2.5 inches

W=A/L................

2.5 inches...........

A physicist working in a large laboratory has found that light particles traveling in a particle accelerator increase velocity in a manner that can be described by the linear function −4x + 3y = 21, where x is time and y is velocity in kilometers per hour. Use this function to determine when a certain particle will reach 40km/hr.
The particle will reach 40km/hr when X=_____

Answers

Final answer:

To determine when the particle will reach a velocity of 40km/hr, substitute the value of y into the linear function and solve for x. The particle will reach 40km/hr when x = 24.75.

Explanation:

To determine when a certain particle will reach a velocity of 40km/hr, we need to find the value of x in the given linear function −4x + 3y = 21. Since y represents velocity, we can substitute 40 for y and solve for x.

By substituting 40 for y, we get −4x + 3(40) = 21. Simplifying the equation, we have −4x + 120 = 21. Rearranging the equation, we get −4x = 21 - 120 = -99.

Dividing both sides of the equation by -4, we find that x = 99 / 4 = 24.75.

Therefore, the particle will reach 40km/hr when x = 24.75.

Final answer:

To determine when the particle will reach 40 km/hr, substitute the value into the equation and solve for x. The particle will reach 40 km/hr when x = 24.75.

Explanation:

The linear function −4x + 3y = 21 describes the relationship between time (x) and velocity (y) of light particles in a particle accelerator. To determine when a certain particle will reach 40 km/hr, we can substitute the value of y as 40 into the equation and solve for x.

−4x + 3(40) = 21

Simplifying the equation, we get -4x + 120 = 21

Combining like terms, -4x = 21 - 120 = -99

Dividing both sides by -4, we find that x = -99/(-4) = 24.75

Therefore, the particle will reach 40 km/hr when x = 24.75.

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