Write your answer without using negative exponents.
(w^5)^-7

[tex]|\Omega|=\,_8C_3 \cdot\,_{10}C_4=\dfrac{8!}{3!5!}\cdot\dfrac{10!}{4!6!}=\dfrac{6\cdot7\cdot8}{2\cdot3}\cdot\dfrac{7\cdot8\cdot9\cdot10}{2\cdot3\cdot4}=11760\\|A|=\,_7C_2\cdot\, _9C_3=\dfrac{7!}{2!5!}\cdot \dfrac{9!}{3!6!}=\dfrac{6\cdot7}{2}\cdot \dfrac{7\cdot8\cdot9}{2\cdot3}=1764\\\\P(A)=\dfrac{1764}{11760}=\dfrac{3}{20}=15\%[/tex]

Answer:

c.1/3

Step-by-step explanation:

To check, multiply 1/3 each time to each number. Note that the first number is 27:

27 x 1/3 = 27/3 = 9

9 x 1/3 = 9/3 = 3

3 x 1/3 = 3/3 = 1

1 x 1/3 = 1/3

etc.

This means that the common ratio decreases by the common multiple of 1/3.

~

The answer is C.

Hope this helps.

r3t40

Answer:

Step-by-step explanation:

By observation, you can see that the irregular polygon can be split into 4 triangles (see attached image). We know that the sum of the internal angles of 1 triangle is always 180 degrees. Hence the sum of all the internal angles of the polygon is,

180 degrees x 4 triangles = 720 degrees.

Therefore Angle B,  

= sum of internal angles - sum of all other known angles

= 720 - (133 +102+117+90+170)

= 108 degrees.

The measure of angle B is 108 degrees.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

We can divide the given polygon in split into 4 triangles.

Using, angle sum property,

The sum of the internal angles of triangle is always 180 degrees.

Hence the sum of all the internal angles of the polygon is,

=180 x 4 triangles

= 720 degrees.

Now, angle B

= 720 - (133 +102+117+90+170)

=720 -612

= 108 degrees.

Hence, angle B is 108 degrees.

Learn more about angle sum property here:

https://brainly.com/question/8492819

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Hello There!

The least common denominator is 5

Comparing 6/5 and 4/5:

6/5 > 4/5

therefore

6/5 > 4/5

Answer:

h = 55

Step-by-step explanation:

Each of the angles adjacent to 2h° on the straight line = (180° - 2h°)

We also know that all internal angles of a triangle add up to 180

Hence,

40 + (180-2h) + (180-2h) = 180

40 + 180 -2h + 180 - 2h = 180

220 -4h = 0

4h = 220

h = 55

Answer:

H=55

Step-by-step explanation:

if the answer for b is 4 square meters of fabric then both a and b will be the right answer. If you look at the graph, it starts at the points (0,0) which proves that it costs $0 for 0 square foot of fabric. Sames goes for choice b.

Answer:

a and b

Step-by-step explanation:

khan

Answer:

-2x + 8y - 5z

Step-by-step explanation:

-1/2*4x = -2x

-1/2 * - 16y = 8y

-1/2 * 10z = - 5z

Combine

-2x + 8y - 5z

If you break the question apart like this, you will never get confused by what the signs do. What is left for signs is what you put in the answer.

Answer:

  it depends: $197,591.00 if you count 52 weeks per year; $198,851.28 if you count 365.25 days per year and 7 days per week.

Step-by-step explanation:

If we consider a year to be 52 weeks, then the total number of payments is ...

  25×52 = 1300

The total amount paid is then ...

  1300×$315.07 = $409,591.00

The difference between this and the loan amount is the interest paid:

  $409,591 - 212000 = $197,591

__

If you take into account the extra days in each year and the leap years, very likely there would be 4 more payments in 25 years. Then the total interest is ...

  1304×$315.07 -212,000.00 = $198,851.28

Answer:

The correct answer is: 21x + 14 = 98; x = 4.

Step-by-step explanation:

She needs to type the notes she recorded in her 98-page workbook. If whe types x hours at a rate of 21 pages per hour, and 14 pages are already done. Then the equation is:

21x + 14 = 98;

Now, the number of hours she will take to complete the task can be found by solving for 'x':

21x = 98 - 14

21x = 84

x = 4.

Therefore, the correct option is: 21x + 14 = 98; x = 4.

Answer:

21x + 14 = 98; x = 4

Step-by-step explanation:

Camille has already typed notes from the first 14 pages of her workbook, and she types for x hours at a rate of 21 pages per hour. An expression for the one side of the equation needs to represent the total number of pages she has typed in terms of x. The number of pages Camille has typed after x hours is represented by the expression 21x + 14.

The workbook has a total of 98 pages. Thus, the other side of the equation which represents the number of pages Camille has typed after x hours is 98.

Hence, the equation that represents the number of pages she has typed after x hours is 21x + 14 = 98.

Solve the equation to determine how many hours it will take Camille to complete the task.

So, x = 4. Therefore, it takes Camille 4 hours to complete the task.

Answer:

15/17

Step-by-step explanation:

sin A = side opposite A/ hypotenuse

         = a/ c

         =15/17

We use the definition of sine, which leads to sin A = a/c = 15/17, giving sin A = 0.8824.

To find sin A, we can use the definition of sine in a right-angled triangle, which is the ratio of the length of the opposite side to the length of the hypotenuse.

In this case, sin A = opposite/hypotenuse = a/c = 15/17. Therefore, sin A = 0.8824, rounded to four decimal places.

Answer:

512.4 miles

Step-by-step explanation:

The distance from city to beach town = 500 miles

Distance from airport to hotel = 20 kilometers

In order to find the total distance we have to convert the kilometers in miles to bring both quantities in same unit

So,

1 kilometer = 0.62 miles

20 kilometers = 20*0.62 =12.4 miles

As both the quantities are in same unit,

The total distance = Distance from city to beach town + distance from airport to hotel

= 500 + 12.4

= 512.4 miles

Hence, total distance covered by them is 512.4 miles ..

The probability that two 1-6 number cubes both land on an even number is calculated by multiplying the individual probabilities for each cube (1/2 x 1/2), resulting in a final probability of 0.25, or answer 'C. 0.25.'

To determine the probability that two 1-6 number cubes land on an even number, we first recognize that there are three even numbers on each cube (2, 4, and 6), and thus three favorable outcomes out of six possible outcomes for each individual number cube roll. To calculate the probability of two independent events both occurring (in this case, both number cubes landing on an even number), we multiply the probabilities of each event.

The probability for one cube is 3/6, or 1/2. Therefore, for two cubes, the probability is (1/2) x (1/2) = 1/4. Expressed as a decimal, 1/4 is equivalent to 0.25.

The correct answer to the question is 'C. 0.25.'

[tex]\bf |x-6|<4\implies \begin{array}{llll} +(x-6)<4\\ -(x-6)<4 \end{array}\implies \begin{cases} x-6<4\implies &\boxed{x<10}\\ \cline{1-2} -(x-6)<4\\ \stackrel{notice}{x-6\stackrel{\downarrow }{>}-4}\implies &\boxed{x>2} \end{cases}[/tex]

Answer:

(x + 10)(x - 7)

Step-by-step explanation:

It is 3 and 10 in some order. The difference is 7 and it is plus, so the larger number is +10 and the smaller one - 3

(x + 10)(x - 3) should be the answer

10x - 3x = 7x

The trinomial [tex]x^2+7x-30[/tex] can be factored into (x+10)(x-3) by finding two numbers that multiply to -30 and add to 7.

To factor the trinomial [tex]x^2+7x-30[/tex] we are looking for two numbers that multiply to -30 (the constant term) and add up to +7 (the coefficient of the linear term).

These two numbers are +10 and -3, as -

10 * -3 = -30 and

10 + (-3) = 7.

So, we can rewrite the trinomial as (x+10)(x-3), which are the factors of the lowest possible order.

Answer:

A

Step-by-step explanation:

Answer:

18x²y²√6xy²

Step-by-step explanation:

3x∛648x⁴y⁸  = 3x ∛ 2 * 2 * 2 * 3 * 3 * 3 * 3 * x⁴ * y⁸

                      = 3x * 2 * 3 * x * y * y √2 * 3 * x * y * y

                      = 18x²y²√6xy²

units like radius, height, width, length or segments are single units, like meter or feet.

areas are double units, so they'd be in say meter² or feet².

volumes are triple units, namely like meter³ or feet³.

Answer:

The unit of measuring volume of the sphere is cubic meter.

Step-by-step explanation:

Given  :  Sphere with a  radius of 2 meters.

To find : Which unit of measure would be appropriate for the volume of sphere.

Solution : We have given Radius = 2 meter .

Volume = [tex]\frac{4}{3}\pi (radius)^{3}[/tex].

Volume  =  [tex]\frac{4}{3}\pi (2 meter)^{3}[/tex].

Volume of sphere =   [tex]\frac{32}{3}\pi[/tex] meter³ .

Therefore, The unit of measuring volume of the sphere is cubic meter.

first off let's recall that a square has all equal sides, so its area is just one side squared, namely A = s², or A = (s)(s).

we know the area is 16j² + 24j + 9, that simply means that two twin factors are in it, and it also means that the area polynomial is a perfect square trinomial.

[tex]\bf \qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] ~\dotfill\\\\ 16j^2+24j+9\implies 4^2j^2+2(4j)(3)+3^2\implies (4j)^2+2(4j)(3)+3^2 \\\\\\ (4j+3)^2\implies \stackrel{\textit{area}}{(4j+3)(4j+3)}~\hspace{7em} \stackrel{\textit{one side}}{4j+3}[/tex]

The answer is C I think

Answer: b) [tex]200<p<300[/tex]

Step-by-step explanation:

The given statement :Phillip has between two hundred and three hundred baseball cards.

Let the number of baseball cards is represented by .

Then , the lower limit for the p is 200 and the upper limit for p is 300.

i.e. [tex]200<p\text{ and }p<300[/tex]

Then , the compound inequality represents this situation will be :-

[tex]200<p<300[/tex]

Answer:

x ≅ 79.1

Step-by-step explanation:

10log(4x) = 25  

2log(4x) = 5  

log((4x)²) = 5  

(4x)² = 10⁵  

16x² = 100,000  

x² = 6,250  

x ≅ 79.1

(A) 79.06 is the correct answer!

Answer:

option 3 is the answer

Step-by-step explanation:

A polynomial  in two variables is said to be in standard form if exponent of one variable is keep decreasing  and another variable keep increasing

only option 3 follows it

As here exponent of x start from 5 and decreases up to 0

and exponent of y start from 0 and keep increasing up to 5

rest of the option do not follow this rule

Answer:

c)5x^5 - 9x^2y^2 - 3xy^3 + 6y^5

Step-by-step explanation:

Follow below steps;

To convert temperature from Celsius to Rankine, the formula is:

R = (C + 273.15) x 9/5

So, to find the temperature in Celsius corresponding to R degrees Rankine, the correct formula is option B. 9/5(C + 273).

Answer:

5, -1/4, -3, and 5/2

Step-by-step explanation:

All you need to do is look at leading term and constant term.  The possible rational zeros are the factors of 15 over (fraction bar) factors of 8.

So the factors of 15:

-1,1,-3,3,-5,5,-15,15

The factors of 8:

-1,1,-2,2,-4,4,-8,8

So the possible rational zeros.... I'm just going to put the factors of 15 over the factors of 8 like so:

-1/-1=1

-1/1=-1

-1/-2=1/2

-1/2=-1/2

-1/-4=1/4

-1/4=-1/4

-1/-8=1/8

-1/8=-1/8

Now I'm going to go to 1 and put it all over the factors of 8.

Anyways I can see some of your choices there 5/1=5 , I already listed the -1/4 above, -3/1=-3, and 5/2.

If you are still confused what I did all I'm doing is putting the first list of factors I made over (fraction bar) the second list of numbers I made.

Answer: 5, -1/4, 5/2, -3

Step-by-step explanation:

Answer: i believe y = f because you are doing f x 1 and y = f x 1

Step-by-step explanation:

1 to the power of 1 is 1

Answer:

1

Step-by-step explanation:

You have the function f(x) [pronounced "f of x"]

"f(x) is equal to" is the same as saying "y is equal to"

The problem wants you to find f(x) when x = 1.

So, substitute 1 in for x.

This is your equation:

f(x) = 1^x

Now substitute 1 in for x:

f(1) = 1^1

1 to the power of 1 is equal to 1.

So, when f(x) = 1 when x = 1.

I hope this helps! :)

Answer: Option b

[tex]f (1) = 0[/tex]

Step-by-step explanation:

For a function of the form

[tex]f (x) = ax ^ n + bx ^ {n-1} + ... + c[/tex]

Where n is the main exponent of the polynomial and a, b c are the coefficients of the variables then this polynomial can be written based on its factors as

[tex]f (x) = a (x-h) (x-k) (x-s)...[/tex]

Where [tex]x = h[/tex], [tex]x = k[/tex], [tex]x = s[/tex], ... are the points where [tex]f(x) = 0[/tex]

Therefore if for this case we know that

[tex](x-1)[/tex] is a factor of a polynomial function [tex]f (x)[/tex] then it is fulfilled that

[tex]f (1) = 0[/tex]

Let n be a number

2n - 3 = 55

Add 3 to both sides

2n + (-3 + 3) = 55 + 3

2n = 58

Divide 2 to both sides

2n/2 = 58/2

n = 29

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

16%

Step-by-step explanation:

100% - 68% = 32%

32%/2 = 16%

Answer:

X=30, Scalene

Step-by-step explanation:

A circle is 360, The triangle is in the circle.

Part A:3x+30+2x+20+5x+10=360

10x+60=360

-60=-60

10x=300

x=30

Part B:Side BA is 3(30)+30=120

Side BC is 2(30)+30=90

Side AC is 5(30)+10=160

All three sides are unequal

First, distribute the negative to the second set of parentheses:

(9x2+10x+4)+(-9x2-5x+1)

Now, add like term:

9x2-9x2=0

10x-5x=5x

4+1=5

Recombine each sum for the final answer:

5x+5

Hope this helps!!

The difference is 5x + 5

First, remove the parentheses by distributing the negative sign:

9x² + 10x + 4 - 9x² - 5x + 1

Combine like terms:

10x + 4 - 5x + 1 = 10x - 5x + 4 + 1 = 5x + 5

Therefore, the difference is 5x + 5