Explain the order in which to simplify the following and then simplify it.

Explain The Order In Which To Simplify The Following And Then Simplify It.

Answers

Answer 1

Answer:

16 x^14 / y^16

Step-by-step explanation:

Remember   ' PEDMAS '

Parentheses

Exponents

Division

Multiplication

Addition

Subtraction

 so do the stuff inside the parentheses to get

  y^8     ^-2

  4x^7  

Now do the exponents  ( the -2  one)

y^-16

4^-2 x^-14       then simplify

16 x^14 / y^16


Related Questions

Any help will do! Thank you!

Answers

Let's take this problem step-by-step:

 

First let's set up the equation for the cost for one week of renting the car

agency charges $230 per week

              [tex]charge = 230[/tex]

agency charges $0.25 per mile (lets set the number of miles as 'x')

              [tex]charge = 230 + 0.25x[/tex]

The total cost was 415, therefore:

             [tex]415 =230 + 0.25x\\185 = 0.25x\\x = 740[/tex]

Therefore, you traveled 740 miles

Answer: 740 miles

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Determin d/dx (x²+1) (7x-3) and d/dt(3t-2/5t+1)

Answers

Answer:

2x(7x-3) + (x²+1)(7)

Step-by-step explanation: use product rule

Indicate the equation of the given line in standard form. Show all of your work for full credit.

The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).

Answers

Answer:  24 sq units is the area of triangle.

Step-by-step explanation:

Given , (x1 , y1) = (-1, 1),  (x2 , y2) = (3, 5) ,  (x3, y3) = (5, -5)

Using the Formula :

Area of triangle =  [tex]\[\frac{1}{2}(x1(y2-y3) + x2(y3-y1) + x3(y1 -y2))\][/tex]

    [tex]\[=\frac{1}{2}(-1(5-(-5)) + 3(-5-1) + 5(1-5)) \\=\frac{1}{2}(-10 -1 8 -20) \\=\frac{1}{2}(-48) = -24\][/tex]

Area cannot be negative. We only consider the numerical value of answer. Therefore, area of triangle = 24 sq units.

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(-4, 150) find two pair of polar coordinates

Answers

The polar coordinates of (-4, 150°) will be  [tex]\sqrt[2]{5629}\\[/tex]  and 5069.09939523°

What is the coordinate about?

The formula for this conversion will be:

r = [tex]\sqrt{x^2 + y^2}[/tex]

θ = [tex]tan ^-1 (\frac{y}{x} )[/tex]

[tex]r = \sqrt{(4^2) + (150^0)^2} \\\\θ = tan ^-1 (\frac{y}{x} )\\\\\\r = \sqrt[2]{5629} \\\\ = tan ^-1 (\frac{150}{4} )\\[/tex]

= [tex]\frac{75}{2}[/tex]

the inverse of:  [tex]\frac{75}{2}[/tex] is   θ = 5069.09939523°

Therefore:

[tex]r = \sqrt[2]{5629}\\[/tex]

θ = 5069.09939523°

So the polar coordinates of (-4, 150°) will be [tex]\sqrt[2]{5629}\\[/tex]  and 5069.09939523°

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can someone please help walk me through the steps to solve number 79? i’m lost

Answers

Answer: 70/29

Step-by-step explanation:

[tex]S=\theta r\\\\35=14.5 \theta\\\\\theta=\frac{35}{14.5}=\boxed{\frac{70}{29}}[/tex]


Which statements about the location of the point are
true? Select three options.
The point is in the first octant.
The point lies behind the yz-plane.
The x-coordinate is -3.
The y-coordinate is positive.
The point lies to the left of the xz-plane.

Answers

Answer:

Step-by-step explanation:

Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.

5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Which statements are true about a histogram with one-minute increments representing the data? Select three options.

A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
The histogram will have a shape that is left-skewed.
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

Answers

The histogram will have a shape that is left-skewed. Then the correct option is B.

What is a histogram?

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.

5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5

Then the mean will be

Mean = (5.5 + 6 + ..... + 6.5 + 5.5) / 15

Mean = 111.5/12

Mean = 7.4333

Then the median will be

Median = 7.5

The histogram will have a shape that is left-skewed.

Then the correct option is B.

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Answer:

The histogram will have a shape that is left-skewed.

The shape of the histogram can be approximated with a normal curve.

The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

Step-by-step explanation:

B/2, D/4, E/5

Solve the problem.

Determine dy/dt for x^3 + y^3 = 9 given x = 1, y = 2, and dx/dt= -3

Answers

Differentiate both sides with respect to [tex]t[/tex], treating both [tex]x[/tex] and [tex]y[/tex] as functions of [tex]t[/tex].

[tex]x^3 + y^3 = 9 \implies 3x^2 \dfrac{dx}{dt} + 3y^2 \dfrac{dy}{dt} = 0[/tex]

Then when [tex]x=1[/tex], [tex]y=2[/tex] and [tex]\frac{dx}{dt}=-3[/tex], we get

[tex]3\times1^2\times(-3) + 3\times2^2\dfrac{dy}{dt} = 0 \implies \dfrac{dy}{dt} = \dfrac9{12} = \boxed{\frac34}[/tex]

I need help in this problem

Answers

Step-by-step explanation:

this is first an arithmetic sequence with the first term A1=3(1)+1=4 And the 12th term A12=3(12)+1=37. Then use this formula

S12=12/2 ×(4+37)

=6×41

=246

Suppose you just purchased a digital music player and put 6 tracks on it. After listening to it you decide you only like 2 songs. With the random feature on the player, each of the 6 songs is played once in random order. Find the probability that among the first 2 songs played

A. You like both of them

B. You like neither of them

C. You like exactly 1

Answers

The probability that among the first 2 songs played ;a) 6% , not unusual b) 40% and c) 48.4%

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

We have the following information from the statement:

n = 6, r = 2

a)  

P (like both of them) = P (like first song) x P (like second song)

P = 2/6 x 1/5

P = 0.06 = 6%

The probability that among the first 2 songs played and You like both of them is 6%.

b)

P (like neither) = P (not like first song) x P (not like second song)

P = 4/6 x  3/5

P = 0.4 = 40%

c) P (like exactly one of them) = P (first song liked) x P (second song not liked) + P (first song not liked) x P (second song liked)

P = ( 2/6 x 1/5) + (4/6 x  3/5)

P = 0.484 = 48.4%

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For the given equation, find the values of a, b, and c, determine the direction in which
and determine the y-intercept. Decide which table best illustrates these values for the equation
f(x) = -9x² +7x

Answers

Answer: Table D

Step-by-step explanation:

The coefficient of x^2 is -9, the coefficient of x is 7, and the constant is 0, so we know a = -9, b = 7, c = 0.

This eliminates tables A, B, and C.

Thus, table D is the answer.

aron bought an almirah for $1520 and sold it at a profit of 12 1/2% what is the selling price​

Answers

Answer:

$1710

Step-by-step explanation:

let me know if you want an explanation :))

2. Find the LCM of the following numbers by division method. (a) 16 and 28 (b) 36 and 44 (c) 45 and 120 (d) 10, 15 and 30 (e) 52 and 128 (f) 20, 60 and 80​

Answers

Answer

(a):112

(b):396

(c):360

(d):30

(e):1664

(f):240

12x² + 9x² =
A. 21x²²
B. 21x
C. 22x²
D. 22xA

Answers

Answer:

21x²

Step-by-step explanation:

hopefully A is a typo

Answer: A (if it's just a typo)   or   [tex]21x^{2}[/tex]

Step-by-step explanation:

Since it's the same variable and same exponent, you just need to add the whole numbers and put the same variable and exponent.

12 + 9 = 21

[tex]21x^{2}[/tex]

what is the value of x

Answers

let's name the vertices of the triangle as A B C and D as the image shown above

In triangle ABC

sin 60° = AB/AC

√3/2 = 8√2/ AC

AC = 16√2/√3

In triangle ACD

sin 45° = AC/AD

1/√2 = 16√2/ 3 AD

AD = 16/3

x = 16/3

.Let S =(5, 10, 15, 20, 25, 30} be the sample space of an experiment and let T = {5,10}, V = {5, 20, 30} and W = {10, 15, 25} be the events of the experimen.


I meed the true answer. tnx!​

Answers

A set is a mathematical model for a collection of items. The set of W' is {5, 20, 30}.

What is a set?

A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

The complete question is given below.

Q13.

T ∪ V = Data points that are in T or V or both.

T ∪ V = {5, 10, 20, 30}

Q14.

T ∩ W = Data points that are in T and W both.

T ∩ W = {10}

Q15.

W' = Data points that are not in W.

W' = {5, 20, 30}

Hence, the set of W' is {5, 20, 30}.

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Please please help asap I’ll make I brainliest

Answers

Answer: [tex]x=5\sqrt{3}[/tex]

Step-by-step explanation:

As the triangle is equilateral, we know that all sides have a length of 10. Thus, if we consider either of the right triangles, we know they have legs of lengths 5 and x (since an altitude of an equilateral triangle bisects the side it is drawn to), and a hypotenuse of 10.

Thus, by the Pythagorean theorem,

[tex]5^{2}+x^{2}=10^{2}\\\\25+x^{2}=100\\\\x^{2}=75\\\\\boxed{x=5\sqrt{3}}[/tex]

A soccer league has 160 players. Of those players 50% are boys. How many boys are in the soccer league?

Answers

Answer:

80 boys

Step-by-step explanation:

160 total players

50% are boys

50% of 160 is 80

simplify completely 12x^2 -4x^2+8x over -2x​

Answers

Answer:

-4*(x+1)

Step-by-step explanation:

Simplify

⇒ 8x2 + 8x/-2x

2:  Pulling out like terms

4.1     Pull out like factors :

  8x2 + 8x  =   8x • (x + 1)

Canceling Out :

4.2    Canceling out x as it appears on both sides of the fraction line

Final result :

 -4 • (x + 1)

Answer:

-4(x+1)

Step-by-step explanation:

factor out -2x

-2x(-6x + 2x - 4) / -2x

the -2x in numerator and denominator cancel out

-6x + 2x - 4

-4x - 1

-4(x+1)

4x + 2y=4 and 3x -y= -7

Answers

Answer:

y =  4

x = -1

Step-by-step explanation:

4x + 2y = 4     Eq. 1

3x - y = -7       Eq. 2

from the  Eq. 2

3x = y - 7

3x + 7 = y        Eq. 3

Replacing the value of the Eq. 3 in the Eq. 1

4x + 2(3x+7) = 4

4x + (2*3x + 2*7) = 4

4x + (6x + 14) = 4

10x + 14 = 4

10x = 4 - 14

10x = - 10

x = -10/10

x = -1

from the Eq. 3

3x + 7 = y

3*-1 + 7 = y

-3 + 7 = y

4 = y

Check:

from the Eq. 1

4x + 2y = 4

4*-1 + 2*4 = 4

-4 + 8 = 4

Evaluate:
10
Σ¹0 4(1)n-1 = [?]
Round to the nearest hundredth.
Enter

Answers

Answer:

Using the formula of geometric progression, we get 5.3333333. After rounding off to the nearest hundredth or to the two digit place after the decimal, we get 5.33.

Step-by-step explanation:

Concept: Given expression means that [tex]4(\frac{1}{4} )^{n-1}[/tex] is a series that starts from n = 1 and ends at n = 10. Or we can say that the given expression is a summation from n = 1 to n = 10. This will make a geometric progression. Use the formula of geometric progression to find the answer.

[tex]4(\frac{1}{4})^{0} + 4(\frac{1}{4})^{1} + 4(\frac{1}{4})^{2} +...+ 4(\frac{1}{4})^{10}\\4\frac{-(\frac{1}{4} )^{11} +1}{-\frac{1}{4} +1} \\4\frac{1}{\frac{3}{4} } \\\frac{16}{3} \\5.33333333\\[/tex]

Now, we want the answer to the nearest hundredth. This means that the answer should have two digits after the point.

The answer, to the nearest hundredth is 5.3333333

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Factor the polynomial function.
G(v) - 196v² + 100

Answers

Answer:

4(49v²+25)

Step-by-step explanation:

[tex]196 {v}^{2} + 100[/tex]

[tex]4(49 {v}^{2} + 25)[/tex]

What algebraic expression is a product with a factor of 5

Answers

Answer:

y=5x

Step-by-step explanation:

A product means multiplication, and you need to multiply x by 5 in order to make the product have a factor of 5.

A country's population in 1991 was 103 million, in 1999 it was 108 million. estimate the total population in 2013

Answers

Answer:

117

Step-by-step explanation:

The total population is 117 million

What is the area of the rectangle below

Answers

Answer:

130 sq. units

Step-by-step explanation:

Any number multiplied by 10 is the same number with a 0 added at the end.

Answer:

1300

Step-by-step explanation:

1. calculator

2.putreef Iub numbers

3 solve

Content attribution
QUESTION 5 1 POINT
Tickets for a basketball game cost $5 for students and $8 for adults. The number of students was 7 less than 11 times the
number of adults. The total amount of money from ticket sales was $3682. How many of each ticket were sold?
Provide your answer below:
FEEDBACK
adult tickets, student tickets
FEED-BACK

Answers

Answer:

Adult: 59 tickets, Student: 642 tickets

Step-by-step explanation:

$5 = ticket per student (s)

$8 = ticket per adult (a)

$3682 = total money made

# of s = 11a-7 (7 less than 11 times the adults)

We can use this information to create a systems of equations.

5s + 8a = 3682

*price of a ticket times the number of students or adults equals total*

where s = 11a-7

Now we substitute in:

5(11a-7) + 8a = 3682

55a - 35 + 8a = 3682

63a - 35 = 3682

63a = 3717

a = 59

so 59 adult tickets were sold, now we can use this information to solve for student tickets.

s = 11(59)-7

s = 642

So 59 adult tickets, and 642 student tickets were sold.

Para administrar 500 ml de suero fisiológico (SF) al 0,9% en el período de 8 horas a las 20 horas, se debe planear un goteo, en gotas/min. Igual a:

Answers

Si administran 500 ml. La tasa de goteo requerida en gotas por minuto es de 21 gtt/min.

Tasa de goteo requerida

Usando esta fórmula

Tasa de goteo requerida=(ml administrado×gotas/mL)÷ (Número de horas×Número de minutos por hora)

Vamos a conectar la fórmula

Tasa de goteo requerida =(500 mL x 20 gtt/mL) ÷ (8 hrs. x 60 min)

Tasa de goteo requerida =10,000÷480

Tasa de goteo requerida = 20.8

Tasa de goteo requerida =21 gtt/min (Aproximadamente)

Por lo tanto, la tasa de goteo requerida en gotas por minuto es de 21 gtt/min.

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. Find the general solution to
d²y/dx²= 49y. Enter your answer as an equation y = ..

Note: d²y/dx²=k^2y

Answers

The given differential equation is linear with constant coefficients,

[tex]\dfrac{d^2y}{dx^2} - 49y = 0[/tex]

with characteristic equation

[tex]r^2 - 49 = 0[/tex]

and hence characteristic roots [tex]r=\pm7[/tex]. This means the general solution to the ODE is

[tex]y = C_1 e^{7x} + C_2 e^{-7x}[/tex]

In fact, you're given the solution already,

[tex]y = C_1 e^{kx} + C_2 e^{-kx}[/tex]

and you've determined that

[tex]\dfrac{d^2y}{dx^2} = k^2 (C_1 e^{kx} + C_2 e^{-kx}) = k^2 y[/tex]

Comparing this to the given ODE, it's obvious that [tex]k=7[/tex], so you can just replace [tex]k[/tex] with 7 in the given template solution.

in case of severe pathologic hypersecretory conditions a physician may order ZantacR up to 6 g/day if the patient is to be given 1.5 g/day divided into four doses what is the amount to administer per dose?

Answers

Step-by-step explanation:

sorry sorry ^$£%£$¥#^÷£=₩€%¥=£=;÷¥÷¥9=

Help my son please!!!

Answers

Answer:

that makes no sence at all i read it over 3 times and still font understand a word of it

sorry :(

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