Simplify 512^1/9 in rational form ​

Answers

Answer 1

Answer:

2

Step-by-step explanation:

512^(1/9)

Write 512 as power of 2:

(2^9)^(1/9)

Multiply the exponents:

2^(9 × 1/9)

2^1

2

Answer 2

Answer:

2

Step-by-step explanation:


Related Questions

Curtis wants to save money for a trip overseas. Curtis invests 800 in an account that pays an interest rate of 6.25%. How many years will it take for the account to reach $10800? round your answer to the nearest hundredth ​

Answers

Answer:

the answer is 42.93

Step-by-step explanation:

just did it

Find the area of a regular hexagon with the given measurement.

4-inch side

A = sq. in.

bruh what is the answer


Answers

Answer:  [tex]24\sqrt{3}in^2[/tex] or  [tex]41.56in^2[/tex]

Step-by-step explanation:

You can find the area of a regular hexagon with the following formula:

[tex]A_{(hexagon)}=\frac{3\sqrt{3}s^2}{2}[/tex]

Where "s" is any side of the regular hexagon.

For this hexagon you know that the length of each side is 4 inches. Then, you must substitute [tex]s=4in[/tex] into the formula  [tex]A_{(hexagon)}=\frac{3\sqrt{3}s^2}{2}[/tex].

Therefore, the area of this regular hexagon is:

 [tex]A_{(hexagon)}=\frac{3\sqrt{3}(4in)^2}{2}[/tex]

 [tex]A_{(hexagon)}=24\sqrt{3}in^2[/tex] or [tex]A_{(hexagon)}=41.56in^2[/tex]

Answer:

the answer is 24 square root 3

Step-by-step explanation:

PLEASE HELP!!! ASAP

An expression can often be used to model a real-life situation. For each of the following expressions, write a real-life situation using money as the context. Then, evaluate the expression and interpret the result in terms of the situation. Here's an example.

The following situation is modeled by the expression -24.50 + 100.00: Jonathan overdrew his checking account by $24.50. He then transferred $100.00 from his savings account to his checking account. His new checking account total is $75.50.

Make sure to use complete sentences in your answers.
1. $8.15 + $11.99
2. $20 - $18.04
3. 7($1.45)
4. $42.08/4

Answers

Elle is buying a bag of chips that are $8.15. Then, she adds an $11.99 hairbrush to her cart. Her cart total at checkout is $20.14Leah gets $20 for her allowance every month. She goes shopping and finds a shirt she buys for $18.04. She has $1.96 left of her allowance from this month.Liz is throwing a birthday party for her son. She finds yo-yos for a party favor at $1.45 each. There will be 7 boys there, including her son. The total of the yo-yos is $10.15.Eliza, Ben, Sammy, and Lilian are having a lemonade stand. By the end of the day, they make $42.08. They agreed to split the profit equally between them, which means each of them gets $10.52.

Find volume of cylinder

Show work

Answers

For this case we have that by definition, the volume of a cylinder is given by:

[tex]V = \pi * r ^ 2 * h[/tex]

Where:

A: It is the radius of the cylinder

h: It's the height

We have according to the data that:

[tex]r = \frac {34} {2} = 17 \ m\\h = 27 \ m[/tex]

Substituting in the equation we have:

[tex]V = \pi * (17) ^ 2 * 27\\V = \pi * 289 * 27\\V = 24501.42\ m^3[/tex]

ANswer:

[tex]V = 24501.42\ m^3[/tex]

Please someone help i really need it :( The original 25 colored pencils have all been placed back in the box and another 11 colored pencils have been added to the box. The new pencils are either red, blue, or green. The likelyhood of drawing a green pencil is now greater than the likelyhood of drawing a red pencil, but less than the likelyhood of drawing a blue pencil.

Answers

What is the question?

I would say there would be 5 blue pencils, 4 green pencils, and 2 red pencils. I say this because the chance of grabbing a green pencil is smaller than the blue, and the chance of grabbing a red one is smaller than the green one, as a result, we are left wit 5 blue pencils, 4 green pencils, and 2 red pencils.

38. Express these rates in the lowest terms.

a. $56: 16 kg
b. There are six teachers for every 108 students

39. Change to unit rates.

a. $20 for five T-shirts
b. 45 miles in half an hour

Answers

Answer:

38: is A

39: is A

Step-by-step explanation:

Final answer:

To express rates in the lowest terms, divide both the numerator and denominator by their greatest common divisor. For unit rates, calculate the rate per single unit of item or time. Example: $7 for 2 kg simplifies to a rate of $3.50 per kg, six teachers for 108 students simplifies to one teacher for 18 students, $20 for 5 T-shirts becomes $4 per T-shirt, and 45 miles in half an hour translates to 90 miles per hour.

Explanation:

Question 38: Our goal is to express the rates in the lowest terms.

$56 for 16 kg: To find the simplest form, we divide both the numerator (dollars) and the denominator (kilograms) by the greatest common divisor. $56 and 16 kg both are divisible by 8, so dividing by 8 gives us $7 for 2 kg.Six teachers for every 108 students: The simplest form is found by dividing both numbers by their greatest common divisor, which is 6 in this case. So, 1 teacher for every 18 students is the rate in the lowest terms.

Question 39: Here, we will convert the given rates to unit rates.

$20 for five T-shirts: A unit rate is the rate for one unit of the item. To find the unit rate for one T-shirt, divide $20 by 5. This gives $4 per T-shirt.45 miles in half an hour: To find the distance traveled in one hour (unit time), multiply the distance by 2. So, the unit rate is 90 miles per hour.

Colleen can paint a room in 12 hours.Rebecca can paint the same room in 20 hours.How long does it take for both Colleen and Rebecca to paint the room if they are working together? Write an equation that using the variable t to represent the time it takes to paint the room together that can be used to solve the problem.

Answers

Hello!

The answer is:

It will take 7.5 hours to paint the room together.

Why?

Using the given information we need to write an equation considering both Colleen and Rebecca rates.

For Colleen we know that she can paint a room in 12 hours, so, her equation will be:

[tex]\frac{1Room}{12hours}*t=\frac{t}{12}[/tex]

Being "t" the time used to paint.

For Rebecca, we know that she can paint a room in 20 hours, so, her equation will be:

[tex]\frac{1Room}{20hours}*t=\frac{t}{20}[/tex]

Now, if we want to calculate the time needed to paint 1 room, we have:

[tex]\frac{t}{12}+\frac{t}{20}=1\\\\\frac{12*t+20*t}{12*20}=1\\\\\frac{12t+20t}{240}=1\\\\\frac{32t}{240}=1\\\\32t=240*1\\\\t=\frac{240}{32}=7.5[/tex]

Hence, we have that it will take 7.5 hours to paint the room together.

Have a nice day!

PLZ HURRY IT'S URGENT!
What is the distance between the points (4, 7) and (4, –5)? A. 2 units B. 0 units C. 4 units D. 12 units

Answers

Answer:

D. 12 units

Step-by-step explanation:

The distance between two points is found by

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

   sqrt( (4 -4)^2 + (-5-7)^2)

 sqrt((0^2 + (-12)^2)

 sqrt(0+144)

sqrt(144)

12

Solve for X

A: 12.5
B: 5
C: 6[tex]\sqrt{3}[/tex]
D:12

Answers

Answer:

D. 12

Step-by-step explanation:

(LOOK AT THE PICTURE)

ΔADC and ΔCDB are similar (AAA). Therefore the corresponding sides are in proportion:

[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]

We have

[tex]AD=16,\ CD=x,\ DB=9[/tex]

Substitute:

[tex]\dfrac{16}{x}=\dfrac{x}{9}[/tex]          cross multiply

[tex]x^2=(9)(16)\to x=\sqrt{(9)(16)}\\\\x=(\sqrt9)(\sqrt{16})\\\\x=(3)(4)\\\\x=12[/tex]

bear in mind that, a perpendicular line stemming from the right-angle like so, creates three similar triangles, a large one, containing the other two smaller ones, a medium and a small.

so.. .we can just use the medium and small proportions.

Check the picture below.

find the volume of the prism.
a)152.4cm^3
b)158.3cm^3
c)163.9cm^3
d)167.1cm^3

Answers

Answer: option a

Step-by-step explanation:

You can calculate the volume of a prism with this formula:

[tex]V_{prism}=lwh[/tex]

Where l is the lenght, w is the width and h is the height.

You can identify from the figure that:

[tex]l=12cm\\w=5cm\\h=2.54cm[/tex]

Then, substituting these values into the formula, you get that the volume of this prism is:

[tex]V_{prism}=(12cm)(5cm)(2.54cm)=152.4cm^3[/tex]

Answer:

Final answer is choice a) [tex]Volume = 152.4 \, cm^3[/tex]

Step-by-step explanation:

Given that length of the prism = 12 cm

Given that width of the prism = 5 cm

Given that height of the prism = 2.54 cm

Then volume of the rectangular prism is given by formula:

[tex]Volume = (Length)(Width)(Height)[/tex]

[tex]Volume = (12 cm)(5 cm)(2.54 cm)[/tex]

[tex]Volume = 152.4 \, cm^3[/tex]

Hence final answer is choice a) [tex]Volume = 152.4 \, cm^3[/tex]

The following examples illustrate the associative property of multiplication.
(5 · 3) · 6 = 5 · (3 · 6)
2 · (1.1 · 0.1) = (2 · 1.1) · 0.1
Study the examples, then choose the statement that best describes the property.
a · (b · c) = (a · b) · c
a · b · c = c · a · b
b · c · a = (b · c · a)
(a · b) · c = a · b

Answers

Answer:

The first example: a · (b · c) = (a · b) · c

Step-by-step explanation:

The associative property regroups values by changing the location of parentheses. If you notice, the order of the values is not changed. Both sides have a x b x c, only the parentheses have been moved. Moving the parentheses changes the progression of what is multiplied (whatever is in the parentheses is multiplied together first) but doesn't change the final answer.

The statement a. (b . c)  =  ( a . b ) . c describes the correct property.

What is associative property ?

Associative property for multiplication states that rearranging the terms and brackets places in a multiplication of two or more than two terms does not change the result of the multiplication.

There are more properties multiplication is commutative also for example a×b = b×a

a . ( b . c ) = ( a . b) . c is the right answer here brackets have been changed according to the statement.

Learn more about Associative property :

https://brainly.com/question/5637942

#SPJ5

Solve using the quadratic equation for all values of x in simplest form !! Please answer this !!

Answers

Answer:

Step-by-step explanation:

simplify both sides of the equation

-x^2+16=-7

subtract 16 form both sides

-x^2= -23

divide by -1

x^2=23

take square root

and your answer is x= plus or minus (square root) of 23 or -23

Answer:

Step by STEP explanation




Determine the coordinates of the y-intercept of 5x − 5y = 4

Answers

Final answer:

The coordinates of the y-intercept of 5x − 5y = 4 are (0, -4/5).

Explanation:

The y-intercept of a linear equation represents the point where the line intersects the y-axis. To determine the coordinates of the y-intercept, we set the x-coordinate to 0 and solve for y. In the equation 5x - 5y = 4, To determine the coordinates of the y-intercept of the equation 5x − 5y = 4, we set the x-value to 0 since, by definition, the y-intercept occurs where the line crosses the y-axis (x=0). The equation simplifies to -5y = 4. we substitute x=0 and solve for y:

5(0) - 5y = 4
-5y = 4
y = -4/5

Therefore, the coordinate of the y-intercept is (0, -4/5).

A store is having a sale in which all items are 20% off. If p is the original price of an item, then the equation p - 0.2 = 0.8 can be used to find the sale price. Which statement does the equation represent?

A. Decreasing the original price by 20% is the same as dividing the original price by 80%.

B. Decreasing the original price by 80% is the same as dividing the original price by 20%.

C. Decreasing the original price by 20% is the same as multiplying the original price by 80%

D. Decreasing the original price by 80% is the same as multiplying the original price by 20%.


Answers

Answer:

d

Step-by-step explanation: 0.2 x 100% = 102.1/ 20%= d

look below and can i have brainlyplus                                                             Start with the original price, $80.

If you take 20% off, then you will be paying 80% of the original price. Calculate 80% of $80.

80% of $80 = 80% * $80 = 0.8 * $80 = $64

After applying the 20% discount, the new price is $64.

Now you apply the 10% coupon.

Since you are taking 10% off the discounted price, you will be paying 90% of the discounted price.

90% of $64 = 0.9 * $64 = $57.6

The final discounted price is $57.60

Step-by-step explanation:

Find the measure of the third angle of a triangle given the measure of two angles: x and 50​

Answers

Answer:

is it a right triangle or no ?

Step-by-step explanation:

Select the correct answer. Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If the slope of is -2, what is the slope of ? A. -4 B. -1 C. -2 D. 0

Answers

Answer:

i think its -2

because the object increased in size but nothing else changed the slope stays the same the slope is the same as the original shape

if i am wrong i apologize  

Step-by-step explanation:

The slope of the rectangle will be the same as ABCD option (B) -2 is correct, which is the slope of the ABCD.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′.

As we know, if dilate the rectangle by factor 2 the slope of the sides will not change.

Thus, the slope of the rectangle will be the same as ABCD option (C) -2 is correct, which is the slope of the ABCD.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

What are the real zeros of the function g(x) = x3 + 2x2 − x − 2?

Answers

For this case, to find the roots of the function, we equate to zero.

[tex]x ^ 3 + 2x ^ 2-x-2 = 0[/tex]

We rewrite how:

[tex]x ^ 3 + 2x ^ 2- (x + 2) = 0[/tex]

We factor the maximum common denominator of each group:

[tex]x ^ 2 (x + 2) -1 (x + 2) = 0[/tex]

We factor the polynomial, factoring the maximum common denominator[tex](x + 2):[/tex]

[tex](x + 2) (x ^ 2-1) = 0[/tex]

By definition of perfect squares we have to:

[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]

ON the expression[tex](x ^ 2-1):[/tex]

[tex]a = x\\b = 1[/tex]

So:

[tex](x ^ 2-1) = (x + 1) (x-1)[/tex]

Thus, the factorization of the polynomial is:

[tex](x + 2) (x + 1) (x-1) = 0[/tex]

[tex]x_ {1} = - 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]

ANswer:[tex]x_ {1} = - 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]

a small refrigerator is a cube with a side length of 16in use the formula s equals 6s to the second power to find the surface area of the cube

Answers

Answer:

1536 in²

Step-by-step explanation:

S = 6s²

We are told that s = 16 inches, so plugging in:

S = 6 (16)²

S = 1536 in²

How many 2/3 cup servings of rice are in a 6 cup bag

Answers

Answer:

9

Step-by-step explanation:

namely, how many times does 2/3 go in 6?

[tex]\bf 6\div\cfrac{2}{3}\implies \cfrac{6}{1}\div\cfrac{2}{3}\implies \cfrac{6}{1}\cdot \cfrac{3}{2}\implies \cfrac{3}{1}\cdot \cfrac{6}{2}\implies 3\cdot 3\implies 9[/tex]

I need help on this question ​

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Compare the ratio of the measure of corresponding sides, that is

AB = 6 and A'B' = 2

BC = 3 and B'C' = 1

Calculate the ratio of A'B'C' to ABC, then

scale factor = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

Solve each equation. 6.97a = 27.88

Answers

Answer:

a=4

Step-by-step explanation:

6.97a = 27.88

Divide 6.97a on both sides

6.97a/6.97a = 27.88/6.97a

a=4

6.97a = 27.88

Divide both sides by 6.97.

6.97a/6.97 = 27.88/6.97

a = 4

Simplify the following.
7^1=
4^0=
6^-1=

Answers

Answer:

7

1

0.1666666667

The following exponents can be simplified as follows:

[tex]7^1=7[/tex][tex]4^0=1[/tex][tex]6^-1=1/6[/tex]What are exponents?

The exponent of a number says how many times to use the number in a multiplication.

For example: 8 to the Power 2( or 8^2)

In 8^2 the "2" says to use 8 twice in a multiplication,

so 8^2 = 8 × 8 = 64

In words: 8^2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared".

So coming to the question:

a) 7^1 = 7 times 1 from definition that 7*1=7

b)To prove this one, I will go with the property of exponents:

  [tex]a^{(b-c)}=\dfrac{a^b}{a^c}[/tex]

implies:

[tex]4^0=4^{(2-2)}=\dfrac{4^2}{4^2} =1[/tex]

c)Applying the previous property:

[tex]6^{-1}=6^{0-1}=\dfrac{6^0}{6^1}=\dfrac{1}{6}[/tex]

Therefore, with the help of definitions and property of exponent, we can simplify it.

To know more about properties of exponent refer to:

https://brainly.com/question/3187898

#SPJ2

The radius of a small ornament in the shape of a sphere is 2 inches. What is the approximate volume of the ornament? Use 3.14 for pi. Round to the nearest tenth of a cubic inch.

Answers

Answer:

34

Step-by-step explanation:

The volume is calculated as approximately 33.5 cubic inches when rounded to the nearest tenth.

The question asks us to calculate the volume of a sphere with a known radius using the value of 3.14 for pi. The formula for the volume of a sphere is V = (4/3)πr³. Given that the radius (r) is 2 inches, we substitute the given values into the formula to find the volume:

V = (4/3)πr³

V = (4/3) × 3.14 × (2 inches)³

V = (4/3) × 3.14 × 8

V ≈ 33.51 cubic inches

We then round the result to the nearest tenth to get the final answer:

The approximate volume of the ornament is 33.5 cubic inches.

Probability question. Please answer with work attached.

Answers

Step-by-step Answer:

There is a total of 10 coins, 5 dimes, 2 quarters and three pennies.

By picking a coin, it could be any that shows up out of the 10, so the probability of picking any coin in particular is 1 / 10.

If there are 5 dimes, the probability of picking ANY one particular dime is 1/10, so with 5, the probability of picking ANY of the five dimes is 5/10 = 1/2.

Going along the same line of thought, the probability of picking any of quarters and pennies would be 2/10+3/10 = 5/10 = 1/2 as well.

An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following is the angle formed by the sun's rays and the ground?

Answers

Answer:

The angle is 50.2°.

Step-by-step explanation:

The tree and its shadow from a right triangle with the tree being the perpendicular and the shadow being the base as shown in the figure attached.

Therefore the angle θ formed by the sun's rays and the ground is:

[tex]\theta = tan^-1(\frac{18}{15} )=\boxed{50.2^o}[/tex]

The angle formed by the sun's rays and the ground can be found using trigonometry and it is approximately 50.19°

Given: length of tree is 18 ft. and the shadow of tree is 15 ft.

To find: angle formed by suns rays and the ground

This question involves using trigonometry to find the angle formed by the sun's rays and the ground. We can use the tangent function which is:

[tex]\tan \theta = \frac{\text{perpendicular}}{\text{base}}[/tex]

Here the perpendicular is the length of the tree, base is the shadow of the tree and θ is the angle formed by suns rays and ground. So, plugging the values we get:

[tex]\tan \theta = \frac{18}{15}[/tex]

We see that 15 and 18 have 3 as a common factor so we can divide the numerator and denominator by 3 to simply the fraction and we get:

[tex]\tan \theta = \frac{6}{5} = 1.2[/tex]

To find the angle, we take the inverse tangent of the ratio:

[tex]\theta = tan^{-1} (1.2)[/tex]

θ ≈ 50.19°

Thus, the angle formed by the sun's rays and the ground is approximately 50.19°.

Find the area of the circle with the given radius or diameter. Use pi = 3.14.

r = 4

A =
50.24 sq. units
100.48 sq. units
25.12 sq. units

Answers

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=4 \end{cases}\implies A=\pi 4^2\implies A=16\pi \implies \stackrel{\pi =3.14}{A=50.24}[/tex]

Answer:

50.24 sq units

Step-by-step explanation:

The square of the sum of two consecutive positive even integers is 4048 more than the sum of the squares of these two numbers. Find the two numbers.



PLZZZZZ I NEED LE HELP FROM LE FELLOW STUDENTS!!!

Answers

Answer:

44 and 46

Step-by-step explanation:

Let

x,x+2-----> the  two consecutive positive even integers

we know that

[tex](x+x+2)^{2}=x^{2}+(x+2)^{2} +4,048[/tex]

Solve for x

[tex](x+x+2)^{2}=x^{2}+(x+2)^{2} +4,048\\ \\4x^{2} +8x+4=x^{2}+x^{2} +4x+4+4,048\\ \\2x^{2} +4x-4,048=0[/tex]

Solve the quadratic equation by graphing

The solution is x=44

see the attached figure

therefore

the numbers are

x=44

x+2=46

What is the value of x?
A. 13
B. 17
C. 119
D. 169

Answers

Answer:

13

Step-by-step explanation:

x² = 5²+12²

x² = 25+144

x² = 169

x² = 13²

x = 13

The graph shows the population of a school from year to year what is the rate of change in terms of number of students per year?

Answers

Answer:

The number of students per year increasing

An Internet store charges a base fee plus $1.50 per pound to ship items. The table shows samples of their shipping rates.

Shipping Rates
Weight of Package Shipping Cost
(pounds) (dollars)

2 8.00
5 12.50
7
9 18.50
10
17 30.50

Derek wants to ship items that weigh a total of 7 pounds, and Keisha wants to ship items that weigh a total of 10 pounds. How much more does Keisha pay for shipping than Derek?

A)$4.50
B)$6.00
C)$9.50
D)$12.00

Answers

Answer: For Last Question 4.50

Step-by-step explanation:It depends on the price per pound. Let's say the price per pound is 50 cents (or 0.50). (This is an example, the answer I'm giving will most likely NOT be correct, due to the nature of your question - sorry!) To calculate the price of Derek's package, you would multiply 7 (the weight of the package) by 0.50 (the price per pound), which totals to 3.50 Next, to calculate the price for Keisha's package, you'd do the same thing, but instead of multiplying 7 by the price per pound, you would multiply 10 by the price per pound, or 0.50. This multiplies out to 5 dollars. Next you'd subtract Derek's price from Keisha's, which is 5 - 3.50 or 1.50. If it is asking for a percentage, it would be about 150%.

Other Questions
Which features do tropical rainy climates have that temperate marine climates do not? Check all that applyCool winters Conifer treesHot tempsHeavy precipitation Rainforest and savannas Human sperm cells and egg cells areA haploid, each containing 23 chromosomes.B haploid, each containing 46 chromosomes.C diploid, each containing 23 chromosomes.D diploid, each containing 46 chromosomes. On a multiple choice test, each question has 5 answer choices. Peter has no idea what the correct answer is to question to number 4. Whats the probability that he'll choose the correct answer? Completa esta carta con el pretrito perfecto de indicativo o de subjuntivo. Queridos pap y mam: Cmo (1) (estar)? Mam, espero que no (2) (t, enfermarse) otra vez. Yo s que (3) (t, seguir) los consejos del doctor, pero estoy preocupada. Y en mi vida, qu (4) (pasar) ltimamente (lately)? Pues, nada nuevo, slo trabajo. Los problemas en la compaa, yo los (5) (resolver) casi todos. Pero estoy bien. Es verdad que (6) (yo, adelgazar) un poco, pero no creo que (7) (ser) a causa del estrs. Espero que no (8) (ustedes, sentirse) mal porque no pude visitarlos. Es extrao que no (9) (recibir) mis cartas. Tengo miedo de que (10) (las cartas, perderse). Me alegro de que pap (11) (tomar) vacaciones para venir a visitarme. Es increble que nosotros no (12) (verse) en casi un ao! Un abrazo y hasta muy pronto, Beln Solve the Equation 4x+3y=183x+4y=3 The chemical reactions involved in respiration in prokaryotic and eukaryotic cells are virtually identical. In eukaryotic cells, ATP is synthesized primarily on the inner membrane of the mitochondria. In light of the endosymbiont theory for the evolutionary origin of mitochondria, where is most ATP synthesis likely to occur in prokaryotic cells? a.on the nucleoid membrane b.in the cytoplasm c.on the endoplasmic reticulum d.on the plasma membrane what is the power in a circuit if the voltage is 24 VDC and the resistance is 16 ohms? Jonathan wants to save up enough money so that he can buy a new sports equipment set that includes football,baseball,soccer ball, and basketball can someone show me how to find the area of this kite? thank you!! Hello and thank you in advance for answering these questions. Please answer ASAP, thank you and good luck:1. Explain the historical circumstances that led to the development of the Truman Doctrine2. Identify the speakers purpose in making this speech to Congress in 1971. -The speech: In our opinion and from our experience, there is nothing in South Vietnam which could happen that realistically threatens the United States of America. And to attempt to justify the loss of one American life in Vietnam, Cambodia or Laos by linking such loss to the preservation of freedom. . .is to us the height of criminal hypocrisy, and it is that kind of hypocrisy which we feel has torn this country apart. . . We found most people didn't even know the difference between communism and democracy. They only wanted to work in rice paddies without helicopters attacking them and bombs with napalm burning their villages and tearing their country apart. . . . Source: John Kerry, testimony to the U.S Senate Committee on Foreign Relations, April 23, 1971.3. Identify and explain the cause-and-effect relationship associated with the events or ideas in documents 1 and 2. Be sure to use evidence from both documents 1 and 2 in your response.-Document 1:The free peoples of the world look to us for support in maintaining their freedoms. If we [fail] in our leadership, we may endanger the peace of the world. And we shall surely endanger the welfare of this nation. Great responsibilities have been placed upon us by the swift movement of events. One of the primary objectives of the foreign policy of the United States is the creation of conditions in which we and other nations will be able to work out a way of life free from [dictatorship]. The free peoples of the world look to us for support in maintaining their freedoms. If we falter in our leadership, we may endanger the peace of the world. And we shall surely endanger the welfare of this nation. Great responsibilities have been placed upon us by the swift movement of events.-Document 2:In our opinion and from our experience, there isnothing in South Vietnam which could happen that realistically threatens the United States of America. And to attempt to justify the loss of one American life in Vietnam, Cambodia or Laos by linking such loss to the preservation of freedom. . .is to us the height of criminal hypocrisy, and it is that kind of hypocrisy which we feel has torn this country apart. . . We found most people didn't even know the difference between communism and democracy. They only wanted to work in rice paddies without helicopters strafing [repeatedly attacking] them and bombs with napalm burning their villages and tearing their country apart. . . . An example of a mineral made up of a pure element isa. coalb. copperc. quartzd. glass What are two ways the U.S. government financed the war effort?-taxes-loans -bonds-lotteries What is the result of 124-4[3-5(17-14)+2(9+5)] A metal has a mass of 8.7 grams and a volume of 3.2mL is it metal gold ? A text that is meant to be performed is called a . Could you break down one fifth times 3? HELP!Directions: Write an algebraic equation for each problem. You do NOT need to solve each equation, just put the following problem into an equation. 1. The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. 2. Fifteen more than four times a number is 6 more than five times the number. Use "n" for the number. 3. Martha and Sally had lunch together on Tuesday. Sally paid $2 more than Martha. The total bill was $5.64. 4. Bob paid $3 less than Tim at a local pizza parlor. Together they spent $7.80. 5. There were six more women on a committee than men. The committee was made up of 30 people. 6. Three consecutive integers have the sum of 153. 7. Five times the first of three consecutive even integers is fourteen more than three times the second. 8. The sum of three consecutive even integers is fifty-four. 9. An airplane flies at a rate of 356 km/h. The plane travels a total distance of 1424 km. (Use Distance = Rate * Time for your equation.) How many electrons does carbon have? The Grand Canyon becomes deeper every day. What causes the canyon tobecome deeper? A region has a high pressure system, and then a low pressure system movesin. What is the best prediction about the weather from this information?A. HotB. Stormy C. ClearD. Cold Steam Workshop Downloader