(x^4)8 please help me with this

Answers

Answer 1
8x^4 is the final answer
Answer 2

Answer:

x^32

Step-by-step explanation:

Multiply the exponent 4 by the exponent 8:

(x^4)^8 = x^32


Related Questions

help i will make u brainllest

Answers

Answer:

4 sqrt(7)

Step-by-step explanation:

We can use the leg rule

hyp            leg

------- = -------------------

leg          part

9+7          z

------- = -------------------

z          7

Using cross products

(9+7) *7 = z^2

16*7 = z^2

112 = z^2

Taking the square root of each side

sqrt( 16*7) = sqrt(z^2)

4 sqrt(7) = z

Help please!!! Which of the following represents the area of the white (unshaded) region? * A.) Area of Big triangle - Square B.) Area of Circle + Area of Square C.) Area of small triangle + Area of Circle D.) Area of Circle - Square

Answers

Answer:

A.) Area of Big triangle - Square

Step-by-step explanation:

The triangle would have been all white if the square were not shaded.  So the square must be subtracted from the area of the triangle.  See diagram below.

HELP ASAP!!! I WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX

Answers

Answer:

4/3*PI

OR  4.186 (6 REPEATING0

OR 1.3(3 REPEATING )*PI

Step-by-step explanation:

BECAUSE

THE FORMULA IS 4/3*PI*R^3=V

4/3*3.14*1=V

4/3*PI=V

OR  4.186 (6 REPEATING

OR 1.3(3 REPEATING )*PI

HOPE I HELPED

BRAINLIEST PLS

    -ZYLYNN JADE

Answer:

4.19 in³

Step-by-step explanation:

The volume of a sphere is given by the formula:

V = [tex]\frac{4}{3}[/tex]*π*r³ r is the radius here it's 1

so the volume is:

V = [tex]\frac{4}{3}[/tex]*3.14*1³

V= 4.1866 ≈ 4.19 in³

Bryce has been investing in his employee sponsored retirement account since he was 23 years old. He is now 65 years old and ready to retire. He has invested a total of $30,000, but the total amount of money in his retirement account is currently $160,000. What is Bryces rate of return on his retirement investment?

Answers

Answer:

r = 64

Step-by-step explanation:

The number of years for the investment plan = 65-23= 32 years

Initial amount= $30000

Final amount= $160000

To find the rate of return

We will use the compound interest formula.

The number of times it was compounded= number of years because it was not compounded monthly.

A= p(1+r/n)^(nt)

160000= 30000(1+r/32)^(32*32)

160000/30000= (1+r/32)^(32*32)

5.333= (1+r/32)^(1024)

1024√5.333= (1+r/32)

1.001636073 = 1 +r/32

2.01636073= r/32

32(1.01636073)= r

64.05= r

32 divided by 64 rounded to the neares 100

Answers

Answer:

.50

Step-by-step explanation:

32/64=.5. Since it is asking for the 100th place, you would add a decimal at the end.

Answer:

50

Step-by-step explanation:

so first do 32 divided by 64 then round it to the nearest 100.

:) The bus fare of 12 passengers is Rs 540. If the fare is increased by Rs 5 per
passenger, how many passengers can travel for Rs 750?​

Answers

Answer:

15 passengers

Step-by-step explanation:

Original price,

Fare for 12 passengers = Rs 540

Fare for 1 passenger = [tex] \frac{540}{12} = 45[/tex]

Increased price,

Fare for 1 passenger = 45 + 5 = Rs 50

Let fare for X passengers be 750

[tex]x \times 50 = 750[/tex]

[tex]x = \frac{750}{50} [/tex]

[tex]x = 15[/tex]

Hence, 15 passengers can travel for Rs 750.

Hope this helps...

Good luck on your assignment..

Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 563 randomly selected adults showed that 60% of them would erase all of their personal information online if they could. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.Find the value of the test statistic.

Answers

Answer:

a)Claims: P>0.5("MOST" of the adult erase their personal information)

b)Statistics test= 4.746

Step-by-step explanation:

we were given {p}=60% =0.60

where n= 563

since most of adults erase all their personal information online, then (p> 0.5

p=0.5

q=1-p=1-0.5=0.5

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

The value of the statistic test is 4.746 and this can be determined by using the given data.

Given :

A software firm survey of 563 randomly selected adults showed that 60% of them would erase all of their personal information online if they could.

It is given that [tex]\rm \bar{P}[/tex] = 60% = 0.60 and n = 563.

Claim: Most adults would erase all of their personal information online if they could that means (P > 0.5). Therefore:

q = 1 - P = 1 - 0.5 = 0.5

Now, to determine the value of the statistic test, the following formula can be used:

[tex]\rm \dfrac{\bar{P}-P}{\sqrt{\dfrac{Pq}{n}} } = \dfrac{0.6-0.5}{\sqrt{\dfrac{0.5\times0.5}{563}} }=4.746[/tex]

Therefore, the value of the statistic test is 4.746.

For more information, refer to the link given below:

https://brainly.com/question/23091366

The ratio of boys to girls in a class of
45 pupils is 2:7. How many girls are
there in the dass?
(a) 35
(b) 20
(c) 18
(d) 15
le) 10​

Answers

Answer:

The answer is option A.

35.

Step-by-step explanation:

To find the number of girls in the class we must first find the total parts

That's

2 + 7 = 9

In the ratio 7 correspond to girls so the number of girls in the class are

7/9 × 45

= 7 × 5

= 35

Hope this helps you

ok gamers i just need an answer for this right here
Name the property of a definition illustrated by each of the following.
6(x-7)=6x-42

Answers

The distributive property.

Answer:

I think this is the distributive property.

Step-by-step explanation:

What is the range of y = log Subscript 2 Baseline (x minus 6)?

Answers

Answer:

Step-by-step explanation:

The graph of this function begins in Quadrant IV and rises rapidly, then continues rising in Quadrant I at a slower pace.  The range is (-infinity, infinity).

The range of the value is given as all sets of real numbers.

What is the range of the value?

We have been given the function f(x)= log2(x-6)

Given that it is a logarithmic function, there would be no definition for any negative numbers.

We have 2(x-6)>0

x-6>0

x is greater than 6

The Domain of f(x) is then given as any real number

The Range of the function is all of the possible values of f(x) after it has been substituted into the given function

i.e. Range of f(x) is therefore the set of all real numbers.

Complete question

What is the range of y=log2(x-6)?

A. all real numbers not equal to 0

B. all real numbers less than 6

C. all real number greater than 6

D. all real numbers

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Which part of the graph is the distance from home constant? PLEAS HELP ME VERY EASY

Answers

It’s 4. He doesn’t increase or decrease in distance so it’s a straight line so it’s constant...

A pencil cup is a cylinder made of plastic with one base missing. The cup is 5 inches tall and has a radius of 1.75 inches. Approximately how many square inches of plastic were used to make the cup? 54.98 in.2 74.22 in.2 48.11 in.2 64.60 in.2

Answers

Answer:

74.22

Step-by-step explanation:

a pencil cup is like a cylinder

A=2πrh+2πr2=2·π·1.75·5+2·π·1.752≈74.22013

hope this helps

correct me if this is wrong

what is the formula for this equation?

hen spends 3 days baking 224 cookies. on the second day, he bakes twice as many as he did on the first day. on the third day, he baked half as many as he did on the first day. How many cookies did he bake o the 2nd day

Answers

Answer:

x + 2x + 1/2x = 224

Step-by-step explanation:

x + 2x + 1/2x = 224

3.5x = 224

x= 64

64×2=128

Hen baked 128 cookies on the second day

help pls, Find PG if JG=18.

Answers

Answer: PG = 1/3JG = 1/3 x 18 = 18/3 = 6

The length of PG using the centroid property is 6 unit.

The centroid divides each median into segments in a 2:1 ratio.

This means that the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.

Given:

JG = 18

As, the centroid divides each median into segments in a 2:1 ratio then

PG:PJ = 1:2

So, the length of PG

= 1/3 * (18)

= 18/3

= 6 unit

Thus, the length of PG  is 6 unit.

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Un comerciante vende a un cliente 20kg de arroz 12,25 kilogramos de papa y 39, 16 kilogramos de frijol el peso de los artículos vendidos es

Answers

Respuesta:

71.41 kilogramos

Explicación paso a paso:

En este caso lo que debemos hacer para calcular el peso de los artículos vendidos, es sumar el peso individual de cada artículo, por lo tanto:

Peso total = peso del arroz + peso de la papa + peso del frijol

Ya que tienen la misma unidad de medida, no hay ningún problema para sumar, entonces reemplazamos:

Peso total = 20 + 12.25 + 39.16

Peso total = 71.41

Lo que quiere decir que el peso de los artículos vendidos es de 71.41  kilogramos

3x-10-4
if x-3
3-164
if x=y=-25
88-y)
if =2 y = 6
6
2
if x=-12
9-10 +4
87-4
-32
4
3x + 4y - 3x
3,81-10) +5x
(2x + 6
if x = -2
-10x
1
ifr=
if x=-2
Kio-2+1
. 20th
2012
x+8y-(x)
(8x)+ 6x + 2
if x = -3
2x + 4y + xy
if x=y=2
8x + 2y
if x=1.5, y =-22
if x =-5, y =
ķ' +17-117
(x-6)+4
3r -8.rº + 7
if x = 4.5
-2x+8y
if x = 3, y = -9
(-5x) - 3x + x
if x=-3.5
if x=8

Answers

Answer/Step-by-step Explanation:

1. 3x - 10 +4 if x = 3

To evaluate, plug in the value of x in the expression given

3(3) - 10 + 4 = 9 - 10 + 4

= 3

2. [tex] \frac{x}{2} + 6x [/tex]

if x = -12

[tex] \frac{(-12)}{2} + 6(-12) [/tex]

- 6 - 72 = - 78

3. 8(x - y), if x = 2, y = 6

8(2 - 6) = 8(-4) = -32

4. x + xy, if x = 3, y = -2.5

3 + (3)(-2.5) = 3 + (-7.5)

= 3 - 7.5 = - 4.5

5. (2x)² + 6, if x = -2

(2*-2)² + 6 = (-4)² + 6

= 16 + 6 = 22

6. 3x + 4y - 3x, if x = 2, y = 4

3(2) + 4(4) - 3(2) = 6 + 16 - 6

= 16

7. [tex] -10x + \frac{4}{x} [/tex]

If x = -2

[tex] -10(-2) + \frac{4}{-2} [/tex]

20 + (-2) = 20 - 2 = 18

8. 3(8x - 10) + 5x, if x = ½

3(8*½ - 10) + 5(½)

3(4 - 10) + 2.5

3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½

9. x + 8y - (x)², if x = -5, y = ¼

-5 + 8(¼) - (-5)² = -5 + 2 - (25)

= -3 - 25 = -28

10. (8x)² + 6x + 2, if x = -3

(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2

= 576 - 18 + 2 = 560

11. 2x² + 4y² + xy, if x = ½, y = 2

2(½)² + 4(2)² + (½)(2)

= 2(¼) + 4(4) + 1

= ½ + 16 + 1 = ½ + 17 = 17½

12. 8x + 2y, if x = 1.5, y = -2.2

8(1.5) + 2(-2.2)

12 - 4.4 = 7.6

13. [tex] \frac{5}{2}(x - 6) + 4 [/tex]

if x = 8.

[tex] \frac{5}{2}(8 - 6) + 4 [/tex]

[tex] \frac{5}{2}(2) + 4 [/tex]

= 5 + 4 = 9

14. 3x - 8x² + 7, if x = 4.5

3(4.5) - 8(4.5)² + 7

13.5 - 8(20.25) + 7

13.5 - 162 + 7 = -141.5

15. -2x² + 8y, if x = 3, y = -9

-2(3)² + 8(-9)

-2(9) - 72 = - 18 - 72 = 90

16. (-5x)² - 3x + x, if x = -3.5

(-5*-3.5)² - 3(-3.5) +(-3.5)

(17.5)² + 10.5 - 3.5

306.25 + 10.5 - 3.5 = 313.25

simplify z^6x^7/z^5x

Answers

Answer:

[tex]\huge\boxed{\dfrac{z^6x^7}{z^5x}=zx^6}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{z^6x^7}{z^5x}=\dfrac{z^6x^7}{z^5x^1}=z^{6-5}x^{7-1}=z^1x^6=zx^6[/tex]

Answer:

[tex]zx^6[/tex]   is the simplified answer.

Step-by-step explanation:

[tex]\frac{z^6x^7}{z^5x}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\=\frac{x^7z^{6-5}}{x}\\\\=\frac{zx^7}{x}\\\\\mathrm{Cancel\:the\:common\:factor:}\:x\\\\=zx^6[/tex]

Best Regards!

Choose a number subtract 5 the result is 4

Answers

Answer:

3

Step-by-step explanation:


can someone help me answer this please

Answers

Answer: 19 degrees

Step-by-step explanation:

<FOE is the central angle of an arc of 52 degrees and is thus 52 degrees.  Then by supplementary angles <COD is 71 degrees and angle BOA is thus also 71 degrees.  Then by supplementary angles <BOC is 19 degrees and arc BC is thus also 19 degrees.

Hope it helps <3

Answer:

19 degrees

Step-by-step explanation:

NEED HELP ASAP PLEASE WILL MARK BRANLIEST What would the equation of a hyperbola with directrices at x=±2 and foci at (6,0) (-6,0) be?

Answers

Answer:

The equation of the hyperbola can be presented as follows;

[tex]\dfrac{\left x \right ^{2}}{12} - \dfrac{\left y \right ^{2}}{24} = 1[/tex]

Step-by-step explanation:

We have the equation of an hyperbola given as follows;

[tex]\dfrac{\left (x - h \right )^{2}}{a^{2}} - \dfrac{\left (y - k \right )^{2}}{b^{2}} = 1[/tex]

The foal length = a² + b² = c²

c = focal length

The directrix = a²/c

The focal point are (h + c, k) and (h - c, k)

Therefore, by comparison with the given focal points, (6, 0) and (-6, 0), we have;

k = 0 and h + c = 6, h - c = -6

Therefore;

6 - c - c = -6

-2·c = -12

c = 6

h = 0

a²/c = 2

a² = 2 × 6 = 12

a = 2·√3

12 + b² = 6²

b² = 6² - 12 = 24

b² = 24

b = 2·√6

The equation of the hyper bola can then be written as follows;

[tex]\dfrac{\left (x - 0 \right )^{2}}{12} - \dfrac{\left (y - 0 \right )^{2}}{24} = 1[/tex]

Which gives

[tex]\dfrac{\left x \right ^{2}}{12} - \dfrac{\left y \right ^{2}}{24} = 1[/tex]

x² - y² = 12

y² = x² - 12.

What is 14v14 divided by 72 in simplest form?

Answers

Answer:

About 2.72

Step-by-step explanation:

From reading the comments, I suppose you meant v actually means x so:

14 × 14 = 196

196 ÷ 72 ≈ 2.72

Hope this helped! :)

Answer:

Hello!

I'm not sure what the " v " means but I think you meant to put x instead of v

____________________

14 x 14 = 196

196 ÷ 72 = [tex]\frac{49}{18}[/tex]

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

Hope I got this right.

Can someone please explain to me.

Answers

Answer:

A. 4.50 B. 1 : 3

Step-by-step explanation:

A.

First, think of Toby's money as 1/6x (x referring to the total amount of money) and Daoud's money as 1/2x.

It states that Toby gets 1.50, which means that 1/6x = 1.50.

To find what x is, multiply both sides by 6.

1/6x * 6 = 1.50 * 6

x = 9

Now that we know how much money there is in total, we can solve for Daoud's money. Daoud has 1/2x. We can substitute x for 9 and solve for Daoud's money.

1/2(9)

4.50

Daoud has 4.50.

B.

The problem states that Elsa gets the remaining money.

9 - (1.50 + 4.50)

9 - 6

3

Elsa gets 3.00.

Now, you can use turn solve the ratio of Toby's money and Elsa's money.

1.5 : 3

The problem states that they have to be whole numbers, so you can change the ratio to fit the requirements.

1 : 3

what is 9 times negative 3

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

-27

▹ Step-by-Step Explanation

9 × -3 = -3 + -3 + -3 + -3 + -3 + -3 + -3 + -3 + -3 + = -27

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

-27

Step-by-step explanation:

First mutiply 9 x -3

[tex]9 * -3=-27[/tex]

Since there is a negative the answer would be negative

[tex]Negative * Postive=Negative[/tex]

Therefore, the answer is -27

Hope this helps! :)

Answer by

Fishylikeswater

ASAP!! Linear Relations Help

Answers

Answer:

Below

Step-by-step explanation:

a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.

So the equation for the first one is y = -(1/3)x

To find what x equals when going through the point (x, 4), plug in 4 for y and solve

y = -(1/3)x

4 = -(1/3)x

4/-(1/3) = -(1/3)x/-(1/3)

-12 = x

So, when y = 4, x = -12

b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.

This makes the second equation y = -4x

Then plug 4 in for y again, instead using -4 as the slope

y = -4x

4 = -4x

4/-4 = -4x/-4

-1 = x

This shows that when y = 4, x = -1

The price of an antique car in 2020 is 200% of its original price in 1980. By what percentage did the price increase over this 40-year period?

Answers

Answer: 100%

Step-by-step explanation:

Given the following :

Price of antique car in 2020 is 200% of its original price in 1980.

By what percentage did the price increase over this 40-year period?

Let the original price = x

x = price of car in 1980

Price of car in 2020 = 200% of x = 2x

Percentage increase in price is given by:

(increase / original price) × 100%

Increase = (price in 2020 - price in 1980)

[(Price in 2020 - price in 1980) / original price] * 100%

[(2x - x) / x] * 100%

[(2x - x) / x] * 100%

(x /x) * 100%

= 1 × 100%

= 100%

100x%

The percentage that the price increase over this 40-year period is 100%.

Percentage increase

Using this formula

Percentage increase=(Current price-Original price)÷Original price × 100%

Let plug in the formula

Percentage increase= (200% of x1-1)/1×100

Percentage increase= 1 × 100%

Percentage increase= 100%

Inconclusion the percentage that the price increase over this 40-year period is 100%.

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BRAINLIEST FOR CORRECT ANSWERRR
The function f(x) = −x^2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold. Determine the vertex, and explain what it means in the context of the problem.

(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.

Answers

Answer:

Part A:

The vertex :  x = - b / 2 a = - 28 : ( - 2 ) = 14

y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4

The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Part B :

We will solve the quadratic equation:

x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )

x 1 = 12,  x 2 = 16.

It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even. 

I think

The vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

What is a Quadratic function?

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two

What is Vertex of Quadratic function?

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry

Given,

[tex]f(x) =-x^{2} +28x-192[/tex]

Vertex

x= [tex]-\frac{b}{2a}[/tex]

x= [tex]-\frac{28}{2(-1)} =14[/tex]

y= [tex]-14^{2}+28(14)-192 =4[/tex]

Vertex (14,4)

It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Hence, the vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

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The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.

Find f(x) · g(x).

A. 3x3 + 3x2 + 5
B. 3x3 + 5x2
C. 3x2 + 5
D. x2 – 3x – 5

Answers

Answer:

3x3 +5x2

Step-by-step explanation:

f(x).g(x)

(3x+5)(x2)

(3x×x2)(5×x2)

3x3+5x2

Helppp!!!! please!!!

Answers

Answer:

option d is correct answer.

hope it helps..

D. 8.8 cm^3

Step-by-step explanation:

The formula for the volume of a cone is...

[tex]V=\frac{1}{3}\pi r^2h[/tex]

We can plug everything we know into the formula and convert pi to 3.14 since the answer choices aren't in pi.

[tex]V=\frac{1}{3}*( 3.14*1.45*1.45*4 )[/tex]

I prefer to do the 1/3 last, but it is entirely up to you!

Now solve...

[tex]V=\frac{1}{3}*26.4074[/tex]

Divide by 3.

V =

8.8 cm^3

can some body help me plz​

Answers

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

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

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

NEED HELP ASAP *picture included* what percent of the area underneath this normal curve is shaded?

Answers

Answer:

68.26

Step-by-step explanation:

The symbol σ represents standard deviation. 1 standard deviation (in both directions) under a normal distribution= 68.26

Answer:

68%.

Step-by-step explanation:

The 68-95-99.7 rule (also know as the Empirical Rule) states that 68% of the data lies within 1 standard deviation of the mean. 95% of the data lies within 2 standard deviations of the mean. 99.7% of the data lies within 3 standard deviations of the mean.

According to the diagram, the area shaded shows data within 1 standard deviation of the mean (one standard deviation to the left, and one to the right). That means that 68% of the data is within the shaded area.

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Other Questions
Complete the sentence with the correct comparative or superlative adjective. Devon was surprised to discover that the loaf of bread she had just bought tasted stale than the one she bought last week. According to the rancher, Harran Derrick, how isthe railroad cheating him? Simplify 2a(b + a) - 2b(b - a) You are writing a compare and contrast essay; your thesis is provided below.When deciding whether to live in the country or the city, first consider the pros and cons of living in each environment.Which of the following points of comparison would most effectively support your thesis?A.)Pace of life, cost of living, convenienceB.)Apartments, condominiums, townhomesC.)Small towns, farmsteads, ranchesD.)Subways, trains, taxi cabs which was the first country in the world to start planned development? When a number is added to n plus StartFraction 1 Over 5 EndFraction n equals 24. Of itself, the result is 24. The equation that models this problem is n + n plus StartFraction 1 Over 5 EndFraction n equals 24.N = 24. What is the value n? n = 18 n = 20 n = 21n equals 23 and StartFraction Over 5 EndFraction 5 n = 23n equals 23 and StartFraction Over 5 EndFraction 5 I need help urgent plz someone help me solved this problem! Can someone plz help Im giving you 10 points! I need help plz help me! Will mark you as brainiest! Hope is a single taxpayer who earns $45,000 per year in taxable income working as a salesperson. She has $200 in long-term capital gains on an investment that cost her $4,250 to purchase. Compute the tax on her investment to determine the after-tax return on investment (ROI).A. 3%B. 4%C. 5%D. 7%E. 8% Robbie scores 78 in his test, Adam scores 54. By how much percentage% is Robbie's score better than Adam's? Please give a step-by-step explanation, thanks Scotland Beauty Products manufactures face cream, body lotion, and liquid soap in a joint manufacturing process. At the split-off point, the company has 300 pounds of face cream, 200 pounds of body lotion, and 300 pounds of liquid soap and has incurred $200,000 in joint costs. Using the physical units method, allocate the joint costs to: a. Face Cream $ b. Body Lotion $ c. Liquid Soap $ Hormones are chemical molecules produced by endocrine glands. One such endocrine gland is the thyroid gland, which synthesizes the thyroid hormone, which in turn affects the heart muscles. Which two statements describe the probable reason for the function of the hormone? A)The cells in the heart have specific receptors that allow for the intake of hormones. B) The heart and the endocrine glands have the exact same types of cells. C)All cells make the same types of hormones. D)Thyroid hormones show their effect on the heart by means of specialized cells. E) Thyroid cells and cardiac cells have different DNA. A student combines 364.6 g of HCl with 80 g of NaOH in 5 L of water. What additional volume of H2O must be added to this mixture to yield a solution with a pH of 1? Note that the molar mass of HCl is 35.46 g/mole, while that of NaOH is 40 g/mole. Why is the sell price always higher than the buy price? degree 4, x=-1, x=1/5 are both zeros with multiplicity 2. What is the expression for the plynomial p(x) with these numbers? The cylinder shown contains 0.79 moles of nitrogen, 0.19 moles of oxygen and 0.02 moles carbon dioxide, a total of 1.00 mole of molecules in the approximate proportion in which they are present in air. Of the three gases, only carbon dioxide is appreciably soluble in the water in the well at the bottom. Assume an equilibrium between dissolved and undissolved carbon dioxide at the beginning and sufficient time lapse to reestablish that equilibrium after the change described. If 0.02 mole of carbon dioxide is forced into the cylinder, the solubility of carbon dioxide ... a) increases by a factor of about 50. b) increases by a factor of about 2. c) increases by 2%. d) remains unchanged. e) decreases. given that f(x)= 2x+1 find f(2) How many one-half cubes with dimensions of 1/2x1x1 fit in a unit cube? 1246 Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!! Suppose Cardullos gift cards expire after one year. A customer had a gift card for $100, of which he used $75 to purchase gourmet cheeses. At the end of the year, the card expires with $25 unredeemed. How do you think Cardullos should account for the unredeemed amount? When it is 4:00 a.m. in Honolulu, it is 2:00 p.m. in London. Just before Pauls flight from Honolulu to London, he called his friend Nigel, who lives in London, asking what kind of clothing to bring. Nigel explained that London was in the middle of some truly peculiar weather. The temperature was currently 30C, and was dropping steadily at a rate of 1C per hour. Pauls flight left Honolulu at 12:00 p.m. Thursday, Honolulu time, and got into London at 1:00 p.m. Friday, London time. What kind of clothing would have been appropriate for Paul to be wearing when he got off the plane?