What is the value of the expression? (−3)3+6312 Enter your answer in the box.

Answers

Answer 1

the value of the expression is approximately - 25.4349.

To find the value of the expression (- 3)³ + 6⁽³/¹²⁾, we follow the order of operations. First, we evaluate the exponentiation:

(- 3)³ = (- 3) × (- 3) × (- 3) = -27

Next, we simplify the second term:

6⁽³/¹²⁾ = 6⁽¹/⁴⁾ = √( √6) ≈ 1.5651

Finally, we add the two results:

(- 3)³ + 6⁽³/¹²⁾ = - 27 + 1.5651 ≈ - 25.4349

So, the value of the expression is approximately - 25.4349. The explanation highlights the steps of evaluating the exponentiation and simplifying the second term before performing the addition to get the final result.

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Related Questions

There are 20% more goblins thank wizards in the magic club. There are 120 goblins in magic club. How many wizards are in magic club?

Answers

Answer:

There are 10 wizards in the magic club.

Step-by-step explanation:

if 6/5 (or 20% more) is how many goblins in comparison to wizards, there are 120/6 or 20=1/5. 5/5 is how many wizards there are so: 5*20=100 wizards


Please help please !!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Arrange them from smallest x value to largest x value, but keep the values the same.

Below is the graph of f(x)=2In(x). How would you describe the graph of g(x)=4In(x)?

Answers

Answer:

The statement which best describes the graph of g(x) is:

                Option: A

    A.  g(x) stretches f(x) vertically by a factor of 2.

Step-by-step explanation:

We are given a original function f(x) as:

          [tex]f(x)=2\ln x[/tex]

and a transformed function g(x) as:

               [tex]g(x)=4\ln x[/tex]

We know that any transformation of the type:

  f(x) to a f(x) is a vertical stretch by a factor of a if a>1

and a vertical compression if a<1

Here we have:

[tex]g(x)=2\times (2\ln x)\\\\i.e.\\\\g(x)=2f(x)[/tex]

i.e. g(x) is a vertical stretch of f(x) by a factor of 2.

It is worked out that 3 ladles full of soup each will feed 160 people.
The customers have complained in the past that the portions are too small.
The cook decides to give 5 ladles full of soup to each person.
How many people can now be fed soup?

Answers

Answer:if your still on it tell me

Step-by-step explanation:

Final answer:

By using the ratio and proportion method, it is calculated that 5 ladles of soup can feed 96 people.

Explanation:

This problem can be solved using the ratio and proportion concept in Mathematics. Given that 3 ladles of soup feed 160 people, we can set up the ratio 3 ladles : 160 people. If the cook now provides 5 ladles, we need to know how many people this amount can feed. To find this, we cross-multiply in the ratio.

Calculating: (3 ladles x X people) = (160 people x 5 ladles), after simplifying we find that X = 96 people. This calculation suggests that the soup will now feed 96 people if each person is given 5 ladles of soup.

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What is the slope of the line that passes through the points? (-4,4), (3,2)?

Answers

Hi there!

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{2-4}{3-(-4)}=\frac{-2}{7}[/tex]

Slope is -2/7

Final answer is -2/7.

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thank you! :)

:D

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-4, 4) and (3, 2). Substitute:

[tex]m=\dfrac{2-4}{3-(-4)}=\dfrac{-2}{3+4}=-\dfrac{2}{7}[/tex]

Answer: The slope is - 2/7.

Problem Page
Suppose we want to choose
2 letters, without replacement, from the
4 letters A, B, C, and D.

Answers

If order matters, then there are 12 ways to do this

If order does not matter, then there are 6 ways to do this

===========================================

We have 4 choices for the first slot and 3 choices for the next (we can't reuse a letter) so that's where 4*3 = 12 comes from

If order doesn't matter, then something like AB is the same as BA. So we are doubly counting each possible combo. To fix this, we divide by 2: 12/2 = 6

To be more formal, you can use nPr and nCr to get 12 and 6 respectively (use n = 4 and r = 2)

Final answer:

In combinatorics, you can choose 2 letters from 4 (A, B, C, D) without replacement in 6 ways, according to the 'combination' principle in probability.

Explanation:

The subject of this question is combinatorics, a topic in Mathematics, particularly probability. You are asked to choose 2 letters without replacement from a set of 4 different letters {A, B, C, D}. To do this, we can use the formula for combinations, which is denoted as nCr, where n is the total number and r is the number being chosen. In this case, we can see it as 4C2.

To execute this, the formula is ‘n! / [r!(n-r)!]’ where '!' denotes factorial, meaning you multiply all natural number up to that number. Hence, 4C2 = 4! / [2!(4-2)!]. Factorial 4 (4!) = 4 * 3 * 2 *1 = 24. Factorial 2 (2!) is simply 2 * 1 = 2. Thus the calculation becomes 24 / [2*(2!)], simplifying to 24 / 4 which equals 6. So, there are 6 ways to choose 2 letters from 4 without replacement.

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Paul took 42 mile bicycle trip. he bicycle 1 1/2 hours in the morning and two hours in the afternoon what is his average speed in miles per hour

Answers

Answer:

Paul's average speed for his bicycle trip is 12 miles/hour.

Step-by-step explanation:

Since Paul rode a total of 42 miles, we need to add up the total time it took him to complete all 42 miles.  Since her rode 1.5 hours in the morning and another 2 hours in the afternoon, he rode a total of 3.5 hours.  Speed is calculated by dividing distance by time.  Since his total distance is 42 and his total time is 3.5, we divide 42 by 3.5 to get 12.  Since our calculations included miles and hours, then our final answer would be 12 miles per hour.  

Angeline bought s yards of satin fabric priced at $8.09 per yard, and c yards of cotton fabric priced at $3.79 per yard. What expression could you use to determine the total cost of the fabric? If she bought 5 yards of satin fabric and 8 yards of cotton fabric, how much did Angeline spend in all?

Answers

Answer: 11.88

Step-by-step explanation: First You Add 8.09 then you add 3.79 Therefore your answer is 11.88


Hope This Helps You Ace Your Test

Answer:

$70.77

Step-by-step explanation:

Let  represents the total cost. We know for our problem that each yard of satin fabric costs $8.09, so  yards will cost . similarly,  each yard of cotton fabric costs $3.79, so  yards will cost . We can also infer that the total cost, , will be the sum of the yards of satin fabric and the yards of cotton fabric, so:

Now, to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, we just need to replace  and  in our expression:

We can conclude that if Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, she would spend $70.77

Show how 7000÷1000 is the same as 7000÷10÷10÷10

Answers

Answer:

it is because 10 times 100 is 1000 so it would be the same thing

Step-by-step explanation:


Because it has 3 zeros

Transformation that produces an image that is the same shape but different size?

Answers

Answer:

Transformation that produces an image that is the same shape but different size is known as Dilation.

Step-by-step explanation:

There are many types of translations.

1. Rotation

2. Reflection

3. Translation

4. Dilation

We know that rotation, reflection and translation are rigid transformation. It means these transformation can not effect the size of the preimage.

Dilation represents the enlargement and compression of the figure according to the scale factor k.

If |k|>1, then it represent enlargement and if |k|<1, then it represent compression.

Therefore the transformation that produces an image that is the same shape but different size is known as Dilation.

Lee needed to make Drapes the length from the floor to the top of the window the wall beneath the window had the height of 2 2/3 feet and the height of just the window measured 2 3/4 feet how long do the Drapes have to be

Answers

Answer: 5 feet 5 inches


Step-by-step explanation:

2 2/3 + 2 3/4 is equal to 5 5/12 so the drapes will be 5 5/12 feet long (or 5 feet 5 inches)



Answer:

The length of the drapes have to be [tex]5\frac{5}{12}\ ft[/tex]            

Step-by-step explanation:

Given : Lee needed to make Drapes the length from the floor to the top of the window the wall beneath the window had the height of [tex]2\frac{2}{3}[/tex] feet and the height of just the window measured [tex]2\frac{3}{4}[/tex] feet.

To find : How long do the Drapes have to be?

Solution :

The height of the wall beneath the window is [tex]2\frac{2}{3}=\frac{8}{3}\ ft[/tex]

The height of the window is [tex]2\frac{3}{4}=\frac{11}{4}\ ft[/tex]

The total height from the floor to the top of the window is

[tex]H=\frac{8}{3}+\frac{11}{4}[/tex]

[tex]H=\frac{32+33}{12}[/tex]

[tex]H=\frac{65}{12}[/tex]

[tex]H=5\frac{5}{12}\ ft[/tex]

Therefore, The length of the drapes have to be [tex]5\frac{5}{12}\ ft[/tex]

Please help and show work!!

Answers

Answer:

- 2      -2.5 and neither.    For the left Panel

A or 40.5 for the right panel

Step-by-step explanation:

Slope AB

Givens

(3,5) (2,7)

y2 = 7y1 = 5x2 = 2x1 = 3

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (7 - 5)/(2 - 3)m = 2/-1 m= -2

Slope CD

Givens

(10,5) (6,15)

y2 = 15y1 = 5x2 = 6x1 = 10

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (15 - 5)/(6 - 10)m = 10/-4 m=   - 2.5

What are they?

They are not parallel. m1 must equal m2 exactly. - 2 does not equal - 2.5They are not perpendicular m1 * m2 must = -1 -2 * -2.5= 5 They so not = -1 when multiplied together.

Answer: Neither.

Right Panel

The best way to start this is to plot the triangle. I use Desmos for this. See diagram below

The base is between (-6,8) and (3,8)

The 8s are the same for both points. The distance between -6 and 3 is abs(-6) + abs(3) = 9

That is the base of the triangle.

The height is between (-6,17) and (-6,8)

17 - 8 = 9    

Notice I did not have to use the absolute values. Why not?

Area = 1/2 * b * hbase = 9height = 9Area = 1/2 * 9 * 9Area = 40.5                     Answer

Patrick saved $500. He received 25% of the money for his birthday, saved 30% of the remainder for his allowance, and earned the rest of it by mowing laws. How much of his savings did he earn by mowing laws?

Answers

Answer:

Patrick earned $262.50 by mowing lawns

Step-by-step explanation:

500*0.75=375

375*.7=262.5

Answer:

$262.50

Step-by-step explanation:

It is a poorly worded question.

25 Percent of the 500 was from his birthday money.

500 * .25 = 125

That leaves 500-125 = 375

He saved 30 % of the 375 from his allowance

375 * .3 =112.50

375-112.50 =262.50

The rest is from mowing lawns.

Jason combined 1 1/4 ounces of strawberry preserve from a jar with 7/8 of an ounce of strawberry preserve as a part of individual dessert bowls.
Jason plans on using 1/5 of an ounce of strawberry preserve in each dessert bowl. How many dessert bowls can he completely fill?

Answers

Answer: 10 dessert bowls.


Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Rewrite 1 1/4 ounces as a fraction:

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

2. You must add 5/4 ounces of strawberry preserve and 7/8 ounce of strawberry preserve, as following:

[tex]\frac{5}{4}ounces+\frac{7}{8}ounces=\frac{17}{8}ounces[/tex]

3. Now you must divide the result obtained by 1/5:

[tex]\frac{17}{8}[/tex]÷[tex]\frac{1}{5}=10.62[/tex]

4. Therefore, you can conclude that 10 dessert bowls can be completely fill.

Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at.) 1, 6, 36, 216, 1296…..

Answers

Multiply to find the pattern which is 100

The answer is composed of the following two equations

[tex]t_1 = 1[/tex] and [tex]t_n = 6*t_{n-1}[/tex]

both of these two equations combine to help form the full recursive definition

=================================================

Further explanation:

The terms are represented by the letter 't' for short. Since we have more than one term, and because we have only so many letters, this means we stick a number onto the 't' to help label multiple terms. We have t1 as the first term, t2 as the second, etc. The numbers are often show as subscripts like so [tex]t_1, t_2, t_3, \ldots[/tex]

The first term of the list of numbers is 1, so [tex]t_1 = 1[/tex] is what we start with to help set up the recursive definition.

Once we have this starting point, we use it to get to the next term which is 6. This value is 6 times the first value. Therefore, the recursive step is [tex]t_n = 6*t_{n-1}[/tex] basically saying "multiply the (n-1)st term by 6 to get the nth term. Translation:  "whatever the current term is, multiply by 6 to get the next term".

if the correlation coefficient is 0.96, how confident can you be that your predicted value for the cost of a call at 70 minutes is close to the exact value for the cost of a call at 70 minutes?
Pick one of the options below and explain your answer?

Very confident
Somewhat confident
Not confident

Answers

very confident because a correlation coefficient of 1 is perfect then a correlation coefficient of .96 means it is like 96% accurate

Answer:

Very confident

Step-by-step explanation:

The closer the correlation coefficient is to 1, the stronger the correlation.  Anything above .4 is relatively strong.    So I would be very confident.

Simplify 2(a+5)−3(5a−4)

Answers

Answer:

[tex]-13a+22[/tex]

Step-by-step explanation:

we have

[tex]2(a+5)-3(5a-4)[/tex]

step 1

Apply the distributive property  both terms

[tex]2a+2(5)-3(5a)+3(4)[/tex]

[tex]2a+10-15a+12[/tex]

step 2

Combine like terms

[tex](2a-15a)+(10+12)[/tex]

[tex](-13a)+(22)[/tex]

[tex]-13a+22[/tex]

ASAP

It is worked out that 3 ladles full of soup each will feed 150 people.
The customers have complained in the past that the portions are too small.
The cook decides to give 5 ladles full of soup to each person.
How many people can now be fed soup?




I only have one shot at this question and the answer is not 800

Answers

Answer: 90 people

Step-by-step explanation:

3 ladles per person = 150 people x 3

= 450 ladles full

450 ladles full = 5 ladles per one person = 450/5 = 90 people

Kate uses 2 packets of milk powder per day how many days will 1/3 of a packet of milk powder last.

Answers

Final answer:

To find out how many days 1/3 of a packet of milk powder will last, divide 1/3 by 2 to get 1/6 of a day.

Explanation:

To find out how many days 1/3 of a packet of milk powder will last, we can use the information given. Kate uses 2 packets of milk powder per day. This means in one day, she uses 2 packets. So, in order to calculate how many days 1/3 of a packet will last, we need to divide 1/3 by 2. This gives us 1/6.

Therefore, 1/3 of a packet will last 1/6 of a day.

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1/3 of a packet of milk powder will last 1/6 of a day, or 4 hours, for Kate who uses 2 packets of milk powder per day.

If Kate uses 2 packets of milk powder per day, to determine how many days 1/3 of a packet of milk powder will last, you can perform a simple division. Since she uses 2 packets per day, you would divide the amount she has, 1/3 of a packet, by her daily usage, which is 2 packets. Therefore:

1/3  packets / (2 packets/day) = (1/3) / 2 days = 1/6 days

Thus, 1/3 of a packet of milk powder would last for 1/6 of a day. To determine the number of hours this represents, you can multiply 1/6 of a day by the number of hours in a day:

(1/6 day) times (24 hours/day) = 4 hours

Therefore, 1/3 of a packet of milk powder will last for 4 hours based on her current usage.

I need help answering this please

Answers

Answer: Choice D) ordered pair is not a solution to the second equation

We can see this by replacing x and y with 1 and -4 respectively

2x + y = 4

2*1 + y = 4 .... replace x with 1

2*1 + (-4) = 4 ... replace y with -4

2 - 4 = 4

-2 = 4 .... this equation is false because -2 and 4 are different values

The last equation being false means that the original equation 2x+y = 4 is also false when (x,y) = (1,-4). Therefore, this ordered pair is not a solution to the second equation 2x+y = 4

A solution to the system must make BOTH equations true simultaneously, not just one.

Answer:

D

Step-by-step explanation:

2x + y = 4

If you substitute x = 1, and y = -4, then

2(1) - 4 = 2 - 4 = -2  not 4


Can someone help me find the value of x?

Answers

Answer:

x=71

Step-by-step explanation:

Since this is an isosceles triangle the bottom 2 angles are equal.

The three angles of the triangle are x, x, and 38.  They must add to 180 degrees

x+x+38 = 180

Combine like terms

2x+38=180

Subtract 38 from each side

2x+38-38 = 180-38

2x = 142

Divide each side by 2

2x/2 =142/2

x =71

What happened to Japanese-Americans during this time in WWII?

Answers

Answer:

During WWII, 120,000 Japanese-Americans were forced into camps, a government action that still haunts victims and their descendants. ... The roundups began quietly within 48 hours after the Japanese attacked Pearl Harbor, on December 7, 1941. The announced purpose was to protect the West Coast.

hope this helps.

Step-by-step explanation:


d (e-f) =g how to solve f

Answers

[tex]d(e-f)=g\\e-f=\frac{g}{d} \\e-\frac{g}{d}=f[/tex]


Steps:

Divide by D

Add F

Subtract g/d

Answer:

f = -g/d +e

Step-by-step explanation:

d (e-f) =g

Divide each side by d

d/d (e-f) =g /d

(e-f) =g /d

Subtract e from each side

e-e-f = g/d -e

-f = g/d -e

Multiply by -1

*-1 (-f) = -1(g/d -e)

f = -g/d +e

which is the slope of the line shown? )

Answers

To find slope you use the equation (y2-y1)/(x2-x1).
Plug in the values from the graph.
(6-(-3))/1-(-6))
Simplify: 9/7

Answer:

slope = [tex]\frac{9}{7}[/tex]

Step-by-step explanation:

to calculate the slope m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (1,6) ← 2 points on the line

m = [tex]\frac{6+3}{1+6}[/tex] = [tex]\frac{9}{7}[/tex]


Can anyone walk me through this?

Answers

Answer:

n = - 6

Step-by-step explanation:

divide both sides by 2

n + 5 = - 1 ( subtract 5 from both sides )

n = - 6

OR

distribute the parenthesis by the 2 outside

2n + 10 = - 2 ( subtract 10 from both sides )

2n = - 12 ( divide both sides by 2 )

n = - 6



Student A completed an equation with variables on both sides. Did the student correctly solve the following equation? Describe and correct the error in solving the equation below. 5c−6=4−3c 2c−6=4 2c=10 c=5 NEED HELP ASAP !!!

Answers

Answer: Student A did not correctly solve the equation because they subtracted 3c to 5c instead of added.

Solve using substitution
y=3x-5
2x+5y=-42

Answers

Answer:

Solution point is (-1,-9)

Step-by-step explanation:

Put the value of y in the first equation into the second equation.

2x + 5(3x - 5) = - 42            Remove the brackets on the left2x + 15x - 25 = - 42            Combine like terms on the left17x - 25 = - 42                     Add 25 to both sides17x - 25 + 25 = - 42 + 25    Do the addition17x = - 17                              Divide by 1717x/17 = -17/17                      Do the divisionx = - 1    

=======

Solve for y

y = 3x - 6x = -1y = 3(-1) - 6y = -3 - 6y = - 9

HELP!!!!!!!
The total sale price for purchase at one store is $268.97. The total sale price at another store is $240.95. You have an additional 10% off coupon for the second store for purchases over $200.00. How much more would you save by shopping at the second store

Answers

Answer:

you save $52.11 by shopping at the second store

Step-by-step explanation:

The total sale price at the second store is $240.95.

additional 10% off coupon for the second store for purchases over $200.00

10% discount on sale price is 240.95 * 10%

[tex]240.95 * \frac{10}{100} = 24.095[/tex]

Total sale price after 10% discount =240.95 - 24.095=$216.86

First store sale price = $268.97

second store sale price = $216.86

Difference = 268.97 - 216.86 = 52.11

you save $52.11 by shopping at the second store



Lucia tried to solve the system below. Lucia’s Work. What error did Lucia make? When Lucia solved for the value of x, she subtracted 2y from both sides. When Lucia solved for the value of y, she treated –2y as 2y. When Lucia solved for the value of x, she added 18 to both sides. When Lucia solved for the value of x, she treated –2(–9) as 18 instead of –18.

Answers

Final answer:

The question hints at possible arithmetic or sign operation errors Lucia made while solving a system of equations. Pinpointing her exact mistake involves understanding common errors like incorrect handling of negative numbers or arithmetic operations.

Explanation:

The question involves identifying the mistake Lucia made when solving a system of equations. When solving for the value of x, there are various potential errors one could make, such as incorrect addition, subtraction, or misinterpretation of the operation sign. For instance, treating − 2( − 9) as 18 instead of − 18 is a common mistake due to misunderstanding how to handle double negatives in algebra. Similarly, when solving for the value of y, mistaking − 2y for 2y shifts the equation's balance, leading to incorrect solutions.

Lucia's error could stem from a few different places described in the question, but without the specific steps Lucia took, it's challenging to pinpoint the exact mistake. However, common errors to watch out for when solving for x and y in systems of equations include incorrect operations with negative numbers, improper handling of variables, or erroneous arithmetic operations.

Correctly solving a system of equations requires careful attention to each algebraic step, ensuring that operations on both sides of an equation are correctly applied and that signs are properly managed. Seeking to correct mistakes like treating negative signs improperly or misapplying arithmetic operations is essential for accurate solutions.

write a real world problem that involves determining the distance between two points on a coordinate plane that have the same x coordinate

Answers

A group of students are doing a project where they make a rocket from bottles. The students all make their separate versions of the bottles. When it is time to launch their rockets, some rockets go higher than other rockets. Student A's rocket goes 3 times higher than the second highest rocket. Student B's rocket goes 50 feet into the air. Student C's rocket went a dozen feet higher into the air than Student B's rocket. If Student D's rocket went 200 feet in the air, how much higher did Student D's rocket go compared to Student A's rocket?

Answer: sir or ms your anwser would be C 98. hope this helps ;)

Step-by-step explanation:

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