i need help with this one please

I Need Help With This One Please

Answers

Answer 1

Answer:

A

Step-by-step explanation:

a geometric sequence is where we multiply a factor from element to element.

a1 = $900

a2 = 981 = a1 × f = 900 ×

a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²

[tex]an = 900 \times {f}^{n - 1} [/tex]

so, now let's try and get f.

remember, 981 = 900 × f

f = 981/900 = 109/100 = 1.09

just to control, we check for s3 :

900 × (1.09)² = 900 × 1.1881 = 1069.29

correct.

so,

a13 = 900 × (1.09)¹² = 2,531.398304

s13 is then the sum of all a1, ..., a13

there is a nice formula for sums of finite sequences

s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =

= 900×(1-3.065804612) / (-0.09) =

= 900×(-2.065804612) / (-0.09) = 20,658.04612

.


Related Questions

find the missing side lengths​

Answers

Answer:

Step-by-step explanation:

Because it is a 45-45-90 triangle

b=5

a= 5[tex]\sqrt{2}[/tex]

A group of three undergraduate and five graduate students are available to fill certain student government posts. If four students are to be randomly selected from this group, find the probability that exactly two undergraduates will be among the four chosen.

Answers

Answer:

[tex]Pr = 0.4286[/tex]

Step-by-step explanation:

Given

Let

[tex]U \to\\[/tex] Undergraduates

[tex]G \to[/tex] Graduates

So, we have:

[tex]U = 3; G =5[/tex] -- Total students

[tex]r = 4[/tex] --- students to select

Required

[tex]P(U =2)[/tex]

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

So, we have:

[tex]Total = ^{U + G}C_r[/tex]

[tex]Total = ^{3 + 5}C_4[/tex]

[tex]Total = ^8C_4[/tex]

[tex]Total = \frac{8!}{(8-4)!4!}[/tex]

[tex]Total = \frac{8!}{4!4!}[/tex]

Using a calculator, we have:

[tex]Total = 70[/tex]

The number of ways of selecting 2 from 3 undergraduates is:

[tex]U = ^3C_2[/tex]

[tex]U = \frac{3!}{(3-2)!2!}[/tex]

[tex]U = \frac{3!}{1!2!}[/tex]

[tex]U = 3[/tex]

The number of ways of selecting 2 from 5 graduates is:

[tex]G = ^5C_2[/tex]

[tex]G = \frac{5!}{(5-2)!2!}[/tex]

[tex]G = \frac{5!}{3!2!}[/tex]

[tex]G =10[/tex]

So, the probability is:

[tex]Pr = \frac{G * U}{Total}[/tex]

[tex]Pr = \frac{10*3}{70}[/tex]

[tex]Pr = \frac{30}{70}[/tex]

[tex]Pr = 0.4286[/tex]

write the equation of the graph below

Answers

Answer:

Step-by-step explanation:

This is a parabola with a vertex at h = 4 and k = 5; the graph goes through the coordinate x = 6 and y = 6. We will use those 4 values to fill in the equation:

[tex]y=a(x-h)^2+k[/tex] and this will allow us to solve for the value of a:

[tex]6=a(6-4)^2+5[/tex] and

[tex]6=a(2)^2+5[/tex] and

6 = 4a + 5 and

1 = 4a so

[tex]a=\frac{1}{4}[/tex] and the equation is

[tex]y=\frac{1}{4}(x-4)^2+5[/tex]

HELP PLS WITH PYTHAGOREAN THEOREM

Answers

Answer:

100 ft

Step-by-step explanation:

We need to find the diagonal ( or hypotenuse)

We can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

80^2 + 60^2 = c^2

6400+3600 = c^2

10000 = c^2

Taking the square root of each side

sqrt(10000) = sqrt(c^2)

100 = c

Phythagorean theorem HELPPPP PLSSSSS ASAPPP

Answers

Answer:

5

Step-by-step explanation:

We know that we can use the Pythagorean theorem

a^2 + b^2 =c^2

where a and b are the legs and c is the hypotenuse

one of the legs is 12 and the hypotenuse (diagonal) is 15

a^2 + 12^2 = 15^2

a^2 +144 = 169

a^2 +144-144 =169-144

a^2 = 25

Taking the square root of each side

sqrt(a^2) = sqrt(25)

a = 5

Answer:

l = 9 cm

Step-by-step explanation:

Using Pythagoras' identity in one of the right triangles with legs width w, length l and hypotenuse h , then

l² + w² = h²

l² + 12² = 15²

l² + 144 = 225 ( subtract 144 from both sides )

l² = 81 ( take the square root of both sides )

l = [tex]\sqrt{81}[/tex] = 9

The two-way table shows the number of boys and girls in the school band and choir. Is there a greater percentage of girls in the school band or in the choir? Explain.

Answers

Answer:

the school band

Step-by-step explanation:

the band, the band has a percentage of 53.85...,which is (14/26)x100, and the choir has 35.71% which is (5/14)x100

What is the factor of
[tex] {x}^{4} - x[/tex]
Plz​

Answers

This is the answer I guess

Help plzzzz!!!!!!! thank you .

Answers

Answer:

120°

Step-by-step explanation:

<U + <T = 180

or, 6x-6+9x+21=180

or, 15x=165

or, x=11

so, <T = 9×11+21 = 120

When do you use the Distributive Property?

Answers

Answer:

when you have items outside a parentheses that needs to be multiplied by the items inside

a(b+c) = ab + ac

Step-by-step explanation:

Triangle ABC is translated right 8 units and down 15 units to triangle XYZ. Triangle ABC
has these angle measures:

m∠A=45∘
m∠B=53∘
m∠C=82∘

What is the measure of angle Y?

Answers

9514 1404 393

Answer:

  53°

Step-by-step explanation:

The names of the triangles indicate that angle B corresponds to angle Y. Translation does not affect side lengths or angle measures, so angle Y is the same measure as angle B.

  m∠Y = 53°

Answer: 53

Step-by-step explanation:

The speed of a car as a function of time is shown in the figure(attached up) . Find the distance travelled by the car in 8 seconds and its acceleration .

Answers

______________________________

[tex]\sf\bold{The\:above\:graph\:says:}[/tex]

$\sf\bold\red{a=slope\:of\:v-t\:graph}$

$\space$

$\sf\bold{here:}$

$\sf\bold\red{a=acceleration}$

$\space$

$\sf\bold{Find\:acceleration\:by\:v-t\:graph:}$

$\mapsto$ $\sf\small{TanØ =}$ $\sf\dfrac{slope\:of\:y}{slope\:of\:x}$= $\sf\dfrac{20}{8}$ $\sf{m/s^2}$

$\space$

$\mapsto$ [tex]\sf\underline\bold\purple{a=2.5m/s^2}[/tex]

$\space$

$\sf\bold{Now,calculate\:the\:distance:}$

$\sf\bold{By\:equation\:of\:motion.}$$\sf{s=}$ $\sf{ut+}$ $\sf\dfrac{1}{2}$ $\sf{at^2}$

$\space$

$\sf\bold{Given\:parameters:}$

$\sf\bold{u=0}$$\sf\bold{a=5/8}$$\sf\bold{t=8}$

$\space$

$\sf\bold{Substituting \: the\:values:}$

$\mapsto$ $\sf\small{s=0+}$ $\sf\dfrac{1}{2}$ $\times$ $\sf\dfrac{5}{8}$ $\sf\small{8^2}$

$\space$

$\longmapsto$ $\sf\underline\bold\purple{S=80m}$

$\space$

❍Therefore , the acceleration is $\sf\bold{2.5m/s^2}$ and the distance traveled by car is $\sf\bold{80m.}$

_______________________________

80 m is distance ! Please mark as brainliest

If there were 23 cats, 15 snakes, and 8 dogs, how many legs would there be in all?

Answers

124 because snakes don’t have legs and since cats and dogs have 4 legs each 23x4=92 and 8x4=32. 92+32=124
answer

124

step by step explanation

4×23 =92(for cats)

4×8=32(for dogs)

then 92+32=124

First you to find the worksheet and download it
plase I need help

Answers

Answer:

a) The horizontal asymptote is y = 0

The y-intercept is (0, 9)

b) The horizontal asymptote is y = 0

The y-intercept is (0, 5)

c) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

d) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

e) The horizontal asymptote is y = -1

The y-intercept is (0, 7)

The x-intercept is (-3, 0)

f) The asymptote is y = 2

The y-intercept is (0, 6)

Step-by-step explanation:

a) f(x) = [tex]3^{x + 2}[/tex]

The asymptote is given as x → -∞, f(x) = [tex]3^{x + 2}[/tex] → 0

∴ The horizontal asymptote is f(x) = y = 0

The y-intercept is given when x = 0, we get;

f(x) = [tex]3^{0 + 2}[/tex] = 9

The y-intercept is f(x) = (0, 9)

b) f(x) = [tex]5^{1 - x}[/tex]

The asymptote is fx) = 0 as x → ∞

The asymptote is y = 0

Similar to question (1) above, the y-intercept is f(x) = [tex]5^{1 - 0}[/tex] = 5

The y-intercept is (0, 5)

c) f(x) = 3ˣ + 3

The asymptote is 3ˣ → 0 and f(x) → 3 as x → ∞

The asymptote is y = 3

The y-intercept is f(x) = 3⁰ + 3= 4

The y-intercept is (0, 4)

d) f(x) = 6⁻ˣ + 3

The asymptote is 6⁻ˣ → 0 and f(x) → 3 as x → ∞

The horizontal asymptote is y = 3

The y-intercept is f(x) = 6⁻⁰ + 3 = 4

The y-intercept is (0, 4)

e) f(x) = [tex]2^{x + 3}[/tex] - 1

The asymptote is [tex]2^{x + 3}[/tex]  → 0 and f(x) → -1 as x → -∞

The horizontal asymptote is y = -1

The y-intercept is f(x) =  [tex]2^{0 + 3}[/tex] - 1 = 7

The y-intercept is (0, 7)

When f(x) = 0, [tex]2^{x + 3}[/tex] - 1 = 0

[tex]2^{x + 3}[/tex] = 1

x + 3 = 0, x = -3

The x-intercept is (-3, 0)

f) [tex]f(x) = \left (\dfrac{1}{2} \right)^{x - 2} + 2[/tex]

The asymptote is [tex]\left (\dfrac{1}{2} \right)^{x - 2}[/tex] → 0 and f(x) → 2 as x → ∞

The asymptote is y = 2

The y-intercept is f(x) = [tex]f(0) = \left (\dfrac{1}{2} \right)^{0 - 2} + 2 = 6[/tex]

The y-intercept is (0, 6)

Center (-1,5); passes through (-4,-6)

Answers

Answer:

what is the question

Step-by-step explanation:

The function f(c)=95c+32 is used to convert temperatures from Celsius, c, to Fahrenheit, f(c). What is the temperature in Fahrenheit when it is 22° Celsius? Round your answer to the nearest integer. A 40° B 54° C 72° D 97°

Answers

C 72°

Answer:

we have

f(c)=9/5C+32

now

22°C to °F

°C=22°

we have

f(c)=9/5C+32

f(c)=9/5*22+32=71.6≈72

answer is

22°C=72°F

Answer:  [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{72^\circ F}[/tex]

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} f(c)=\frac{9}{5} c+32 \ \ in \ \ our \ \ case \\\\\\\\f(22)=\frac{9\cdot 22}{5} +32=39,6+32=7\underline1,6\approx72^\circ F[/tex]


HELPPPPPPPPPPPPPPPPP PLZ

Answers

Answer:

GH = 8.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan J = opp side / adj side

tan J = HG / HJ

tan 40 = GH / 10

10 tan 40 = GH

8.39099=GH

Rounding to the nearest tenth

GH = 8.4

Solve:-
2x+8= 22
..........

Answers

2x+8 = 22

2x+8-8 = 22-8

2x = 14

2x/2 = 14/2

x=7

Hope this helps :)

Answer:

[tex]2x+8=22[/tex]

[tex](2x+8)+(-8)=22+(-8)[/tex]

[tex]2x+8-8=22-8[/tex]

[tex]x=7[/tex]

OAmalOHopeO

If log2 X + log4 X = 5, find X for the 3 decimal places.

Answers

Answer:

[tex]x=32768.000[/tex]

Step-by-step explanation:

One is given the following expression:

[tex]log_2(x)+log_4(x)=5[/tex]

Use the logarithm base change rule, which states the following:

[tex]log_b(y)=\frac{log(y)}{log(b)}[/tex]

Remember, a logarithm with not base indicated is another way of writing a logarithm to the base of (10). One can apply the base change rule to this situation:

[tex]log_2(x)+log_4(x)=5[/tex]

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

Factor out (log(x)),

[tex](log(x))(\frac{1}{log(2)}+\frac{1}{log(4)})=5[/tex]

Inverse operations:

[tex]log(x)=\frac{5}{\frac{1}{(log(2)+log(4)}}[/tex]

Simplify,

[tex]log(x)=5(log(2)+log(4))[/tex]

[tex]log(x)=4.51545[/tex]

Now rewrite the logarithm, remember, a logarithm is another way of writing an exponent, in the following format:

[tex]b^x=y\ \ -> log_b(y)=x[/tex]

[tex]log(x)=4.51545[/tex]

[tex]10^4^.^5^1^5^4^5=x[/tex]

[tex]32768.000=x[/tex]

A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x² + x + b 4ac 4a? b? 4a² Find a common denominator on the right side of the equation a 2a X? + b 2a b? =4ac 4a? Add the fractions together on the right side of the equation a b2 - 4ac x+ Rewrite the perfect square trinomial on the left side of the equation as a binomial squared 2a 4a 2 Take the square root of both sides of the equation Vb -4ac x+ b 2a + 4a b - 4ас X + 2a + 4a 4ac + 2a 4a 1o ano 4a​

Answers

Answer:

The fourth option.

x + b/2a = +- sqrt((b^2 - 4ac)/(4a^2))

Step-by-step explanation:

As James bought his textbooks for classes one semester, he estimated the cost to the nearest ten dollars. He knew he could cover the cost up to $315. His math book cost $68.41, biology text was $105.35, literature text cost $72.49, and the AutoCAD text was $59.91. What rounded sum did James determine

Answers

Answer:

$310

Step-by-step explanation:

The first step is to add the costs of the textbook together :

$68.41 + $105.35 + $72.49 + $59.91 = $306.16

In order to round off to the nearest ten dollars, look at the units figure, if the number is greater or equal to 5, add 1 to the ten figure. If this is not the case, add zero. Replace the unit digit with zero

The unit digit is greater than 6, so 1 is added to the tens digit. The amount becomes $310

(2x-7)²-6(2x-7)(x-3)=0

Answers

Answer:

-8x² - 106x + 175 = 0

Step-by-step explanation:

Given:

(2x - 7)²- 6(2x - 7)(x-3) = 0

Find:

Solution of the following explanation

Computation:

(2x - 7)²- 6(2x - 7)(x-3) = 0

[(2x)² + (7)² - (2)(2x)(7)] - (12x - 42)(x-3) = 0

[4x² + 49 - 28x] - [12x² - 36x - 42x + 126] = 0

[4x² + 49 - 28x] - [12x² - 78x + 126] = 0

-8x² - 106x + 175 = 0

find the inequality represented by the graph​

Answers

Answer:

First, find the function of the line:

slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{0-3}{0-4} =\frac{-3}{-4}=\frac{3}{4}[/tex]y-intercept = 0

Therefore, the function is [tex]y=\frac{3}{4} x[/tex].

Since it's the area under the graph that's shaded(not ≥ or >) and the graphed line is dotted(not ≤ or ≥), then the inequality would be [tex]y<\frac{3}{4} x[/tex].

Which graph represents a function?

Answers

Answer:

The second one

Step-by-step explanation:

This is because when you do the vertical line test none of the lines should intersect more then one point. Remember in a function every x-value (input) has only one y-value (output).

Factor the greatest common factor. 5xy4-20x2y3

Answers

Answer:

Step-by-step explanation:

The greatest common factor of 5 and -20 is 5

x: the greatest common factor is x

y: the greatest common factor is y^3

Answer: 5xy^3(y - 4x)

Instructions: Find the missing side. Round your answer to the nearest
tenth.
19
х
66°
X =

Answers

Step-by-step explanation:

the missing side is the adjacent side of the angle 66..which also has an opposite side of 19, therefore you use tan

tan66=19/x

tan66x/tan66=19/tan66

x=8.5

I hope this helps

Measure of base of the triangle, value of x is 8.46 unit.

What is trigonometric ratio?

Trigonometric ratios can be calculated by taking the ratio of any two sides of a right triangle. Given the scale of the other two sides, we can evaluate the third side using the Pythagorean theorem. We can compare the length of any two sides and the angle of the base using trigonometric ratio. The angle θ is an acute angle (θ < 90°) and  is usually measured counterclockwise with respect to the positive x-axis. The basic formula for trigonometric ratios is:

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

Given,

In right triangle,

Base of the triangle is x

Measure of angle = 66°

Perpendicular = 19 unit

tanθ = Perpendicular/base

tan66° = 19/x

2.246 = 19/x

x = 19/2.246

x = 8.46 unit

Hence, 8.46 unit is measure of base of the triangle, that is value of x.

Learn more about trigonometric ratio here:

https://brainly.com/question/25122825

#SPJ7

simplify 3/4×(4)1/3÷(3)1/4​

Answers

Answer:

The answer is 1

Step-by-step explanation:

3/4×13/3÷13/43/4×13/4×4/13=1
The answer is 1 check the work above

A student graphed function f(x) =( x+2)² - 5. How would the new function be written if it is translated 3 units to the right, shifted 2 units down and vertically stretched by a factor of 2?

Answers

Answer:

f(x)=2(x-3)-2

Step-by-step explanation:

when you hear if it translate to the right, it mean subtract " - "

so translate 3 unit right, it mean minus 3.

and same if translate left, it mean add, "+"

But if it mean shift down, it mean minus -

and if it mean shift up, it mean add +

so shift down 2 unit, mean -2

stretch factor of 2, mean multiply by 2

I hope this help! Im gonna explain further more if you have any question☺

The transformation of a function involves changing the features of the original function to another.

The new function is: [tex]f"(x) = 2(x- 1)^2 - 14[/tex]

The function is given as:

[tex]f(x) = (x + 2)^2 - 5[/tex]

When translated right, the rule is:

[tex](x,y) \to (x - h, y)[/tex]

In this case;

[tex]h= 3[/tex] --- i.e. 3 units right

So, the function becomes

[tex]f'(x) = (x + 2 - 3)^2 - 5[/tex]

[tex]f'(x) = (x - 1)^2 - 5[/tex]

When shifted down, the rule is:

[tex](x,y) \to (x, y - b)[/tex]

In this case;

[tex]b =2[/tex]  --- i.e. 2 units down

So, the function becomes

[tex]f'(x) = (x- 1)^2 - 5-2[/tex]

[tex]f'(x) = (x- 1)^2 - 7[/tex]

When vertically stretched, the rule is:

[tex](x,y) \to (x, ay)[/tex]

In this case;

[tex]a =2[/tex]  --- i.e. factor of 2

So, the function becomes

[tex]f"(x) = 2*[(x- 1)^2 - 7][/tex]

[tex]f"(x) = 2(x- 1)^2 - 14[/tex]

Hence, the new function is: [tex]f"(x) = 2(x- 1)^2 - 14[/tex]

Read more about function transformations at:

brainly.com/question/24326503

The given figure shows a small garden. The shaded area is
reserved for planting flowers and the rest of the area is for
grass. Find the ratio of the area of the garden reserved for
planting flowers to the area reserved for grass.​

Answers

Answer:

2 : 3

Step-by-step explanation:

We'll begin by calculating the area of the entire garden. This can be obtained as follow:

Length of garden (L) = 12 m

Width of garden (W) = 5 m

Area of entire garden (A) =?

A = L × W

A = 12 × 5

Area of entire garden is 60 m²

Next, we shall determine the area of the garden reserved for flower. This can be obtained as follow:

Length of flower garden (L₁) = 12 – 4

= 8 m

Width of flower garden (W₁) = 3 m

Area of flower garden (A₁) =?

A₁ = L₁ × W₁

A₁ = 8 × 3

A₁ = 24 m²

Next, we shall determine the area of the garden reserved for grass. This can be obtained as follow:

Area of entire garden (A) = 60 m²

Area of flower garden (A₁) = 24 m²

Area of grass garden (A₂) =?

A = A₁ + A₂

60 = 24 + A₂

Collect like terms

A₂ = 60 – 24

A₂ = 36 m²

Finally, we shall determine the ratio of the area of the garden reserved for flowers to the area reserved for grass. This can be obtained as follow:

Area of flower garden (A₁) = 24 m²

Area of grass garden (A₂) = 36 m²

Ratio of flower garden to grass garden = A₁ : A₂

= 24 : 36

= 24 / 36

= 2 : 3

Therefore, the ratio of the area of the garden reserved for flowers to the area reserved for grass is 2 : 3

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

18. 28 cm*2

19. 24 m

Step-by-step explanation:

18. length × l = 16

l*2= 16

l = 4

RQ = 4 cm

PR =7cm

Area of parallelogram = b×h

= 7×4

=28cm*2

19. 8 +8 + (6-2) +( 6- 2)

=24 m

what’s the answer for the first question? pls help i don’t have much time…

Answers

Answer and Step-by-step explanation:

1.

Since we known how much money Jane and Mark have in total, we can subtract the amount Jane has to find the amount Mark has.

750 - 175 = $575

Mark has $575.

2.

We know how many cards Jamal sold, so if we add it to the amount he still has left, we can find the original amount of cards Jamal had.

17 + 83 = 100

Jamal had 100 cards.

#teamtrees #PAW (Plant And Water)

Answer:

Mark will have $575.

Step-by-step explanation:

Take the total amount ($750) and subtract Jane's contribution ($175) to get Mark's contribution($575).

$750-$175=$575

Other Questions
A bus moving on a straight road increases its speed uniformly from rest to 20m's over a time period of 1 min. The distance travelled during the time is (a) 150 m (b) 300 m (c) 600 m (d) 900 m Complete the text with these verbs in the simple past.(be,become,meet,take,have,visit,go,want)Abigail(1)__to Europe on vacation for a month. She(2)__France and Italy.She(3)__to go to Spain, but she(4)__time. When she(5)__in Paris, she(6)__Marie-Anne. Marie-Anne(7)__her to a lot of interesting places, and they(8)__good friends. Post: Describe Dentist and dentistay in brief Which of the following is a monomial? A. 8x^2 +7x+3 B. x-1C. 9/x D. 7x Explain why the clinton presidency may be viewed both positively and negatively What does x equal in the following equation 3x + 5 = 17 A x = 2 B x = 4 C x = 5 Fill in the blanks with the passive form of the verbs in the simple future tense: 1 Efforts ________ to generate as many jobs as possible. (make) 10 boys cleared a piece of land for 21 days how many days will it take 7 boys to clear the same land if they work at the same rate which polygon will NOT tessellate a plane? Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y2 = 2x, x = 2y; about the y-axisb) Sketch the regionc) Sketch the solid, and a typical disk or washer. Explain the origins and impacts of the Holocaust. The "Nutrition Facts" on a label of a 16 fluid ounce container of apple juice states that a serving size is 8 fluid ounces contains 176 Calories and 240 milligrams of potassium. Nutrition FactsServing Size 8 fl. oz. (240mL)Servings Per Container: 2Amount Per ServingCalories 176% Daily Value*Total Fat 0g 0 % Sodium 32mg 1 % Potassium 240mg 6 % Total Carbohydrate 29g 10 % Sugars 26g Protein 0ga) How many calories would 1 fluid ounce of apple juice contain? b) How many milligrams of potassium would 1 fluid ounce of apple juice contain? Current is the movement of positive charges called electrons.A. TrueB. Falsehelp pls a playing card is chosen at random from a standard deck of cards. what is the probability of choosing 5 of diamonds or one jack On September 1, Home Store sells a mower (that costs $320) for $620 cash with a one-year warranty that covers parts. Warranty expense is estimated at 8% of sales. On January 24 of the following year, the mower is brought in for repairs covered under the warranty requiring $43 in materials taken from the Repair Parts Inventory. Prepare the September 1 entry to record the mower sale (and cost of sale) and the January 24 entry to record the warranty repairs. (Round your answers to 2 decimal places.) View transaction list Journal entry worksheet 3 4 Record the cost of mower sales. Note: Enter debits before credits. General Journal Debit Credit Date Sep 01 Record entry Clear entry View general journal what is the perfect square of 96 1->dng v cng 1/x*(9+lnx^2)dx An investor is holding a stock which has been volatile with returns significantly year-over-year. The initial investment was $1,000 in stock ABC, and it returned the following: Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Return 10% -15% 20% 22% -30% 40% What is the geometric returns of Stock ABC for six years John and Pablo caught fish that have the lengths, in centimeters, listed below. 45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44 Which box-and-whisker plot correctly represents the data?