Select the correct answer.

Simplify the expression so there is only one positive power for each base.

2.7^(-3) * 3.8^(2) * 2.7^(4) * 3.8^(3)

A. 2.7^(7) * 3.8^(5)

B. 2.7^(-7) * 3.8^(5)

C. 2.7 * 3.8^(5)

D. 2.7 * 3.8

E. 2.7^(7) * 3.8

Answers

Answer 1

The expression can be simplified to get:

2.7^(1)*3.8^(5)

The correct option is C.

How to simplify the expression?

Remember that if we have the product of two powers with the same base, we only need to add the exponents.

Then we will get:

2.7^(-3) * 3.8^(2) * 2.7^(4) * 3.8^(3)

= (2.7^(-3)*2.7^(4)*3.8^(2)*3.8^(3))

= (2.7^(-3 + 4)*3.8^(2 + 3))

= 2.7^(1)*3.8^(5)

That is the expression simplified, we can see that the correct option is C.

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Related Questions

Each grid square is 1 square unit. Find the area, in square units, of the shaded region without counting every square. Be prepared to explain your reasoning.​

Each grid square is 1 square unit. Find the area, in square units, of the shaded region without counting

Answers

Answer:

The area of the shaded region is 27 units^2.

Step-by-step explanation:

Area of outer square = 6^2 = 36 units^2

Area of inner square = 3^2 = 9 units^2

Area of shaded region

= 36 units^2 - 9 units^2 = 27 units^2

Final answer:

The area of a shaded region in a unit grid can be found either by subtracting the area of unshaded regions from the total grid area or by adding up the areas of identifiable shapes within the shaded region.

Explanation:

To find the area of the shaded region without counting every square, you can use a few different strategies, such as identifying and subtracting the area of unshaded regions from the total grid area, or recognizing and adding together larger, easily countable shapes within the shaded region.

For example, if your grid is 10x10 units, the total area would be 100 square units. If, within that grid, there are 20 unshaded squares, you can subtract this from the total area to find the area of the shaded region. So, 100 total square units - 20 unshaded square units = 80 shaded square units. This approach works best when the number of unshaded squares is relatively small or easily countable.

Alternatively, if the shaded region forms easily identifiable shapes (like a 5x5 square or a 3x10 rectangle), you can add the areas of these shapes together to get the total shaded area. This approach works best when the shaded region forms a few large, simple shapes.

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Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?

Answers

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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plz help me ill give brainly

plz help me ill give brainly

Answers

Answer:

3.6 divided by 3 = 1.2 so 1.2 yards of material can be used on each skirt.

Step-by-step explanation:

What is a product of 10 and the counting numbers 1 2 3 and so on? Answer for 25 points!

Answers

The product of all integers from 1 to 100 is 100!. The formula actually counts the number of factors 5 in n!, but since there are at least as many factors 2, this is equivalent to the number of factors 10, each of which gives one more trailing zero.May 15, 2020

Anthony bikes a 16.2-mile long trail. If he bikes it 4 times, how faw will he have traveled

Answers

64.8 miles will be the distance travelled by Anthony.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Anthony bikes a 16.2-mile long trail.

If Anthony bikes it 4 times we need to find how far Anthony traveled.

By means of multiplication we find the distance traveled by Anthony.

Multiplication is a method of finding the product of two or more numbers

Now multiply 16.2 with 4

16.2×4

64.8 miles

Hence, 64.8 miles will be the distance travelled by Anthony.

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Please see screenshot

Please see screenshot

Answers

The graph of the feasible region is attached

How to determine the graph of the feasible region

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Please see screenshot

Can someone please do my math work I am gonna lose my permit soon and my mom just passed and I'm struggling

Answers

My bro just go up to ur mom and moan VERY loud and sh will b all lik ok ok u don’t worry about math

What is the perimeter of the shape ABCDEF ( each grind interval = one unit )

A - 20 units

B - 14 units

C - 16 units

D - 18 units

What is the perimeter of the shape ABCDEF ( each grind interval = one unit )A - 20 units B - 14 units

Answers

Answer:

\(\huge\boxed{\sf Perimeter = 18\ units}\)

Step-by-step explanation:

Perimeter:Sum of all sides of a shape is known as the perimeter.Solution:

Here, the shape is made up of grids measuring 1 unit.

Let's count grids on each side.

AB = 5 units

BC = 2 units

CD = 2 units

DE = 2 units

EF = 3 units

FA = 4 units

Now,

Perimeter = sum of all sides

Perimeter = 5 + 2 + 2 + 2 + 3 + 4

Perimeter = 18 units

\(\rule[225]{225}{2}\)

4. Calculate the final value after 10 years if you invest $5000.00 at 2.5% per annum,
compounded annually. please guys can anyone help me​

Answers

Answer:

$6,400

Step-by-step explanation:

Amount = Principal(1 + rate)^time

A = 5000(1 + .025)^10

A = 5000(1.28)

A = 6400

I need some help with this

I need some help with this

Answers

4444 is the closest answer.

Without using a calculator, determine where the following numbers go on the number line.
Be sure to label your number line.
V5,
ထlယ
1.3, 4%, i, 1.70, V8, 1.07, 32, -38, T
0


Please answer the bottom question also

Without using a calculator, determine where the following numbers go on the number line.Be sure to label

Answers

Answer:

Without using a calculator, determine where the following numbers go on the number line.

Be sure to label your number line.

V5,

ထlယ

1.3, 4%, i, 1.70, V8, 1.07, 32, -38, T

0

Please answer the bottom question also

What do we call the statement that determines if the null hypothesis is rejected?
A. Decision rule
B. Test statistic
C. Alternate hypothesis
D. Critical value

Answers

Answer:

c) alternate hypothesis

Step-by-step explanation:

Answer:

An alternate hypothesis is a statement about a population parameter that is accepted when the null hypothesis is rejected. ... A test statistic is a value determined from sample information collected to test the null hypothesis

Step-by-step explanation:

ANSWER QUICKLY PLEASE 2. Molecules in the air are moving with speeds based on the normal model.

a. If half of the air molecules are moving faster than 760 m/s, what does this indicate about our data?

b. If exactly 95% of the molecules are moving with speeds between 475.8 m/s and 1044.2 m/s, what does this indicate the standard deviation is for our normal model?

c. One molecule is found to be moving with a speed of 1127 m/s. Would this be considered a usual or unusual speed?

d. Increasing the temperature of the air particles are traveling in causes the mean particle speed to increase, but the particles still have the same standard deviation. If the temperature increase caused the z-score of a particle moving at 1100 m/s particle to drop to 1.2 after the temperature increase, now how fast is the average molecule moving?

Answers

Answer:

(a). The mean speed is 760 m/s.

(b). The standard deviation for our normal model is 142.1 m/s.

(c). The unusual speed is 1127 m/s.

(d). The average molecule speed is 929.48 m/s.

Step-by-step explanation:

Given that,

Molecules in the air are moving with speeds based on the normal model.

Let x be the speed of the molecules.

(a). If half of the air molecules are moving faster than 760 m/s.

We can say speed of a molecules is normally distributed.

So, the mean, median and mode of this distribution is at least greater than 760 m/s.

(b). If exactly 95% of the molecules are moving with speeds between 475.8 m/s and 1044.2 m/s,

If the standard deviation is σ and the mean is μ,

We need to calculate the standard deviation for our normal model

Using empirical rule

\(\mu-2\sigma=475.8\)...(I)

\(\mu+2\sigma=1044.2\)....(II)

Put the value of μ in equation (I)

\(760-2\sigma=475.8\)

\(-\sigma=\dfrac{475.8-760}{2}\)

\(\sigma=142.1\ m/s\)

(c). One molecule is found to be moving with a speed of 1127 m/s.

We know that,

1127 is the between 1126 and 1128.

Since, it is a continuous distribution,

We need to find the probability that speed is between this

Using excel function

\(P(1126<x<1128)=P(x<1128)-P(x<1126)\)

\(P(1126<x<1128)=0.0002\)

We know that,

Any probability less than 0.05 is considered as unusual

So, 0.0002<0.05

So, 1127 will be considered as the unusual speed.

(d). If the temperature increase caused the z-score of a particle moving at 1100 m/s particle to drop to 1.2 after the temperature increase.

We need to calculate the average molecule speed

Using formula of average molecule speed

\(z=\dfrac{x-\mu'}{\sigma}\)

\(-\mu'=z\sigma-x\)

Put the value in to the formula

\(-\mu'=1.2\times142.1-1100\)

\(\mu'=929.48\ m/s\)

Hence, (a). The mean speed is 760 m/s.

(b). The standard deviation for our normal model is 142.1 m/s.

(c). The unusual speed is 1127 m/s.

(d). The average molecule speed is 929.48 m/s.

Solve. 4x =16

I'm assuming solve for X but ^ that is all the question says​

Solve. 4x =16I'm assuming solve for X but ^ that is all the question says

Answers

Answer:

x = 4

Step-by-step explanation:

4x = 16

divide both sides by 4:

⇒ \(\frac{4x}{4} = \frac{16}{4}\)

⇒ x = 4

Answer:

A. x = 4

Step-by-step explanation:

4x = 16

x = 16 / 4

x = 4

Hope that helps!

Please answer quick
Taylor is playing a board game with two friends. Using a single dice, one friend rolled a one, and the other friend rolled a three. Taylor need to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning m. What is the probability that Taylor will win the game?
A. P(winning)= 4/6=66%
B.P(winning)= 3/6=50%
C. P(winning)= 5/6=83%
D. P(winning)= 2/6=33%

Answers

Answer:

It would be 2/6.

Step-by-step explanation:

2/6 simplified is 1/3 and she is going against two of her friends in which makes three.

The probability that Taylor will win the game is 3/6 or 50% option (B) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Taylor is playing a board game with two friends. Using a single dice, one friend rolled a one, and the other friend rolled a three.

To win, Taylor needs to roll a 4, a 5, or a 6.  

Total number in a standard roll = 6

Favorable outcomes = 3

Probability = 3/6 or

= (3/6)×100

= 50 %

Thus, the probability that Taylor will win the game is 3/6 or 50% option (B) is correct.

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14 points!! PLEASE HELP MARKING BRAINLIST

14 points!! PLEASE HELP MARKING BRAINLIST

Answers

Answer:

x = 58.03°

Step-by-step explanation:

Given:

17 cm is the length of the hypotenuse9 cm is the length of the adjacent side

Solve for x:

cos x = adjacent / hypotenusex = \(cos^{-1}(\frac{adjacent}{hypotenuse})\)

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

¿por qué es importante la escritura
correcta de los números en los
registros contables?

Answers

Writing numbers correctly in accounting records is essential for accuracy, compliance and the prevention of human error.

It is important to write numbers correctly in accounting records in order to ensure accuracy when recording, tracking and analysing financial data. When numbers are written incorrectly, the accuracy of the data can be compromised, leading to incorrect calculations and financial analyses. Writing numbers correctly also helps to eliminate human error, which is important when dealing with finances. In addition, writing numbers correctly helps to ensure regulatory compliance, as incorrect numbers can lead to reporting errors that can result in penalties or other legal repercussions.Good accounting practices require that numbers be written in the correct numerical format. This means that numbers should be written in the standard format, using symbols such as commas and decimal points to indicate thousands and tenths. For example, if a total amount is $1,450.50, the correct way to write it would be 1,450.50. Writing it as 1450.50 or 1.450,50 would be incorrect. In conclusion, writing numbers correctly in accounting records is essential for accuracy, compliance and the prevention of human error. It is important to use the correct numerical format and symbols to ensure that numbers are written correctly in accounting records.

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Why is it important to correctly write the numbers in accounting records?

Solve the following inequality: 38 < 4x + 3 + -3x

Solve the following inequality: 38 &lt; 4x + 3 + -3x

Answers

Answer:

D. \(x > 28\)

Step-by-step explanation:

Given the inequality \(38 < 4x + 3 + 7 -3x\) simply the expression operating the common terms (the terms are common when have the same variables and exponents).

In our occasion the common terms are \(4x\) and \(-3x\) and 3 and 7. So operate this two term for simply in one.

\(38 < 4x + 3 + 7 -3x = 38 < x + 10\)

Now substract -10 in both sides of the inequality and get the result:

\(28 < x\)

In a chemistry class a hot liquid is placed into a refrigerator and it’s temperature in degrees Fahrenheit is modeled as a function of the number of minutes since it was place in the refrigerator. The model formed was linear function T(n)=-8n+175 give a interpretation of the parameters -8 and 175 within the context of this problem.

Answers

Answer:

In this problem, the temperature of the hot liquid (T) is being modeled as a function of the number of minutes (n) that it has been in the refrigerator. The model is a linear function, which means that the temperature will change at a constant rate as the number of minutes increases.

The parameter -8 represents the rate at which the temperature is changing. Specifically, it represents the amount by which the temperature decreases in degrees Fahrenheit for every one minute that passes. For example, if the hot liquid has been in the refrigerator for 10 minutes, its temperature will have decreased by (-8 * 10) = -80 degrees Fahrenheit.

The parameter 175 represents the initial temperature of the hot liquid when it was first placed in the refrigerator. This is the temperature at n = 0, or when no time has passed.

So in the context of this problem, the parameters -8 and 175 represent the rate at which the temperature changes and the initial temperature of the hot liquid, respectively.

If there are six servings in a 2/3 pound package of peanut which fraction of a pound is in each serving.

If there are six servings in a 2/3 pound package of peanut which fraction of a pound is in each serving.

Answers

We will have the following:

If there are 6 servings in a 2/3 pound package, we will divide the pounds by the number of servings, that is:

\(\frac{(\frac{2}{3})}{6}=\frac{(\frac{2}{3})}{(\frac{6}{1})}=\frac{2\cdot1}{3\cdot6}=\frac{2}{18}\)\(=\frac{1}{9}\)

So, each serving has 1/9 of a pound.

***Explanation***

Since we have 6 servings and then the total value of pounds the package represents we will have that the weigth (in pounds) for each serving is given to us by dividing the total weight by the number of servings.

Now, in order to apply the division of a fraction by another fraction we rewrite the integer 6 as a fraction, and we know that 6 / 1 = 6 so, that is the fraction from for this number (At least the less complicated one) and we proceed with the "ear" opeation.

Billy is charged $50 to rent a car for the week.He also has to pay $.25 per mile.
What is the slope in this word problem

Answers

Answer:

.25

Step-by-step explanation:

...

The equation of the line will be u = 0.25x + 50. Then the $0.25 per mile represents the slope of the line.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Billy is charged $50 to rent a car for the week. He also has to pay $0.25 per mile.

Let 'x' be the number of miles and 'y' be the total amount. Then the equation is given as,

y = 0.25x + 50

The equation of the line will be u = 0.25x + 50. Then the $0.25 per mile represents the slope of the line.

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Please help me with this​

Please help me with this

Answers

Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

Find the product. 8 4²/7 × ₁5 15​

Answers

Answer: 519 120

Step-by-step explanation:

84*84=7056

7056/7=1008

1008*515=519 120

Points x and y and points C,D,E and f are shown what is true about points

Answers

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

What are the true statements about the point x and y?

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Points x and y and points C,D,E and f are shown what is true about points

Which of the expressions is rational?

Which of the expressions is rational?

Answers

The last option, the square root of 25 plus 2 is the answer.

Why? Because the top 2 don’t have the perfect squares and if you solve the last one, you get 7, which is rational

Complete the equation that can be used to find the final sale price of an item after a 6% markup if the original price was C and the final
price is f.
HELP PlSS

Answers

Answer:

Step-by-step explanation:

You paid C dollars for an item that you sold at a 6% profit.

F = 1.06C

A waiter can place 20 chairs at 4 tables that are the same size. How many chairs can she place at two
tables?

Answers

The total number of chairs that the waiter can place on two tables is 10 chairs.

Given, the total number chairs that the waiter can place on 4 tables is 20 chairs.

So, the number of chairs that the waiter can place on 1 chair = 20/4 chairs =  5 chairs.

Applying the concept of ratio and proportion,

Now, the total number of chairs that can be placed on 2 chairs will be =

                                                                          = 2 × 5 chairs = 10 chairs

So, the total number of chairs that the waiter can place on 2 tables is 10 chairs.  

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what is 1/2 of 6/8.

Answers

We want to find 1/2 of 6/8. Of means multiplication. It becomes

1/2 * 6/8 = 6/16

= 3/8

You need to do (1x6)(2x8) = 6/16 = 3/8

A triangle has an area of 35 cm squared. The BASE of the triangle is (x-5) cm and the HEIGHT of the triangle is (x-14) cm. Find the measure of the HEIGHT and BASE.

Answers

Try to use this method and see if you get the answer

Step-by-step explanation:

area = b * h / 2 , where b is a base, h - height.

so h = 2 * area / b.

A small box measures 8 in. by 10 in. by 3/4 in. high. Find the volume of the box.

Answers

Answer:

Step-by-step explanation:

60

8x10x3/4

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