Write an expression equivalent to 3(x-10).

The value of simplified form of the expression is,

⇒ √2 (13 - √3)

We have to given that;

The expression is,

⇒ 3√2-√6+10√2

Now, We can simplify as;

⇒ 3√2 - √6 + 10√2

⇒ 3√2 - √2 × √3 + 10√2

⇒ 13√2 - √2 × √3

⇒ √2 (13 - √3)

Thus, The value of simplified form of the expression is,

⇒ √2 (13 - √3)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

C.<

Step-by-step explanation:

got it wrong on the exam review and it told me the right answer after.

Answer:

It is C.  <

Step-by-step explanation:

edge 2021

To determine whether S = {(2, 3, 4), (0, 3, 4), (0, 0, 4)} is a basis for  \(R^3\) , we need to check if the vectors in S are linearly independent and if they span  \(R^3\).

To check for linear independence, we set up the equation:

a(2, 3, 4) + b(0, 3, 4) + c(0, 0, 4) = (0, 0, 0)

This leads to the following system of equations:

2a = 0

3a + 3b = 0

4a + 4b + 4c = 0

The first equation tells us that a = 0. Substituting a = 0 into the second equation, we get 3b = 0, which implies b = 0. Finally, substituting a = 0 and b = 0 into the third equation, we have 4c = 0, which implies c = 0.

Since the only solution to the system of equations is a = b = c = 0, we can conclude that the vectors in S are linearly independent.

Next, we need to check if the vectors in S span \(R^3\). Since S has three vectors and \(R^3\) is three-dimensional, if the vectors in S are linearly independent, they will automatically span  \(R^3\).

Therefore, the vectors in S = {(2, 3, 4), (0, 3, 4), (0, 0, 4)} are linearly independent and span  \(R^3\), which means S is a basis for \(R^3\).

To express u = (6, 6, 16) as a linear combination of the vectors in S, we set up the equation:

x(2, 3, 4) + y(0, 3, 4) + z(0, 0, 4) = (6, 6, 16)

This leads to the following system of equations:

2x = 6

3x + 3y = 6

4x + 4y + 4z = 16

Solving this system of equations, we find x = 3/2, y = 1/2, and z = 4.

Therefore, we can express u = (6, 6, 16) as a linear combination of the vectors in S as:

u = (3/2)(2, 3, 4) + (1/2)(0, 3, 4) + 4(0, 0, 4)

Hence, u = (3, 4.5, 6) + (0, 1.5, 2) + (0, 0, 16) = (3, 6, 24).

To know more about linearly independent refer here

https://brainly.com/question/28053538#

#SPJ11

Answer:

80

Step-by-step explanation:

An isosceles has 2 angles that are the same so 50+50 is 100 so we have 80 degrees left to make a full triangle because all angles will always add up to 180 so 50+50+80 is 180 degrees

Step-by-step explanation:

v=Ah

A=9×12

= 108

then, v=108×8

Answer:

B. -\(\frac{18}{b^4}\)

Step-by-step explanation:

(✿◡‿◡) <-- she wants Brainliest

Answer:

b

Step-by-step explanation:

The answer is that some men are not kings.

The Venn diagram does not show any direct relationship between kings and men, which means that the two circles do not overlap.

It is safe to conclude that all kings are men; however, there might be some men who are not kings.

So, the proposition "All kings are men" is true, but it does not imply that "Some men are not kings" is false.

Let's take an example to understand this better.

Let A be the set of all kings and B be the set of all men.

All the kings will belong to set A, but some men will not be kings, and thus they will not belong to set A, but they will belong to set B.

Therefore, we can conclude that some men are not kings.

To learn more about Venn diagram

https://brainly.com/question/28060706

#SPJ11

Complete question is not provided; Venn Diagram is missing but you can have an idea from above answer.

We have the measures of the correspoding angles: m∠ABC = m∠DEF = 88 degrees

Let's investigate whether two pairs of corresponding angles in two triangles having equal angle measures is necessary and sufficient to prove that the triangles are similar.

Let's first create a random triangle ABC:

From triangle ABC, we have:

m∠ABC = 88 degrees

m∠CAB = 32 degrees

m∠CAB = m∠FDE= 32 degrees

The angles we did not set in triangle DEF is:

m∠EFD = 60 degrees

Now, the corresponding angle to angle EFD is:

Therefore Angle ACB = 60 degrees.

Learn more about triangles on https://brainly.com/question/2773823

#SPJ1

Answer:

How are you supposed to work this out? There is only 1 number then the rest you have to figure out...

Step-by-step explanation:

Im sorry i don't know how to work this :/

You can report this if you want Idc

-Cutepie465

Answer:

5y

Step-by-step explanation:

Product means multiplication

= 5 x y

=5y

Given Function is

\( \: \)

\( \: \: \)

Now , Put The Value Of x = - 2

\( \: \: \)

\( \frak{f(x) = {x}^{2} - 3x }\)

\( \: \: \)

\( \frak{f( \red{ - 2}) = { (\red{ - 2})^{2}} - 3 ( \red{- 2})}\)

\( \: \: \)

\( \frak{f{ (\red{ - 2})} = \red{ - 4} + 6}\)

\( \: \: \)

\( \boxed{\frak { \large \: f( \red{ - 2}) = \red 2}}\)

\( \: \: \)

\( \: \: \)

\( \: \: \)

\( \: \: \)

\( \: \: \)

\( \: \: \)

\( \: \: \)

Hope Helps! :)

Given the data from the question, the value of the function f(–2) is obtained as 10

Substituting the the value of x into the expression, we have

f(x) = x² – 3x

f(–2) = (–2)² – 3(–2)

f(–2) = 4 + 6

f(–2) = 10

From the calculation made above, we can conclude that the value of f(–2) is 10

Learn more about function:

https://brainly.com/question/9250679

The percentage of the cone that will be filled is given as follows:

83%.

The volume of a cone of radius r and height h is given by the equation presented as follows:

V = πr²h/3.

The dimensions of the cone in this problem are given as follows:

Then the volume is given as follows:

V = π x 2.5² x 12/3

V = 78.54 cm³.

The volume of a sphere of radius r is given as follows:

V = 4πr³/3.

Hence the volume of the scoop is given as follows:

V = 4π x 2.5³/3

V = 65.35 cm³.

Then the percentage is given as follows:

65.35/78.54 = 0.83 = 83%.

More can be learned about the volume of a cone at brainly.com/question/12004994

#SPJ1

Answer: b and c

Step-by-step explanation: i had the same quesions

in school teacher marked them correct btw links work but just dont fall for bitly

Answer:

( - ∞ , ∞ )

Step-by-step explanation:

Answer:

see the attachment photo!

Answer:

B

Step-by-step explanation:

that is the definition of a function : every valid value of x gets exactly one value of y assigned as function result value.

that allows gaps. not every value on the x-axis has to be a valid x value for the function. and neither do we need every possible y value to be a valid function result value.

so, if we consider x to be the set of {2, 4, 6, 9}, then this is indeed a function.

2 gets 3, 4 gets 9, 6 gets 10, and 9 gets 5 assigned as y (function result) value.

all good and perfect - exactly one assigned value for every valid x value.

Answer:

x = 16

Step-by-step explanation:

Alternate exerior angles are congruent when the lines are parallel

So, 8x - 14 = 5x + 34

3x = 48

x = 16

Answer:

135°

Step-by-step explanation:

To convert Radians to Degrees, you multiply the Radians amount by \(\frac{180}{\pi}\).

Thus, we get \(\frac{3\pi }{4}\) * \(\frac{180}{\pi}\)

We then get \(\frac{540\pi }{4\pi }\), which simplifies into 135 degrees.

Answer:

b

Step-by-step explanation:

The road crew will take approximately 0.304 hours, or 18.26 minutes, to repave the 35-mile road. This can be answered by the concept of Time and Distance.

To find the time it takes for the road crew to repave the road, we divide the length of the road (35 miles) by the rate at which they can repave (115 miles per hour). This gives us the following calculation:

Time = Distance / Rate

Time = 35 miles / 115 miles per hour

Simplifying, we get:

Time = 0.304 hours

Converting hours to minutes, we get:

Time = 0.304 hours × 60 minutes per hour

Time = 18.26 minutes

Therefore, the road crew will take approximately 0.304 hours, or 18.26 minutes, to repave the 35-mile road.

To learn more about Time and Distance here:

brainly.com/question/29030072#

#SPJ11

Answer:

\(18*30+20*15=n\)

Step-by-step explanation:

Represent the number of bagels all 18 large trays hold as \(18*30\). Represent the number of bagels all 20 small trays hold as \(20*15\) (I suppose each small tray holds 15 bagels?). Add both expressions up and you get:

\(18*30+20*15=n\)

Answer:

The unit rate (1 sandwich costs) $2.50

2x+3=7

2x=7-3

2x=4

x=2

#\(RosalindIsHereToHelpYouDon'tWorry\)

The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

Learn more about Matrix:

brainly.com/question/29132693

#SPJ11

So the exact length of the intercepted arc is 9π.

When a circle is divided into 360 equal parts, each part is called a degree. A central angle is an angle whose vertex is at the center of the circle, and whose sides intersect the circle at two points, thereby cutting off an arc on the circle. The length of the intercepted arc is proportional to the measure of the central angle in radians.

The length of an arc intercepted by a central angle is given by the formula:

length of arc = radius × central angle in radians

Here, the radius is given as r = 12, and the central angle is given as 3π/4. Therefore, the length of the intercepted arc is:

length of arc = 12 × (3π/4) = 9π

To know more about intercepted arc,

https://brainly.com/question/31410595

#SPJ11

Answer:

No, Arjun would need 2546 boxes

Step-by-step explanation:

Since he needs to pack 15,276 pastries into boxes of 6, this equation can be used to determine the amount of boxes needed. Hope this helps!

Answer:

Step-by-step explanation:

7*800=5600

7*8*100= 5600

56*100=5600

The domain and the range of the function are (-∝, 9] and (-∝, 2], respectively

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

The graph

The above graph is a quadratic function

The rule of a function is that

The domain is the set of all input values

In this case, the domain is (-∝, 9]

For the range, we have

Range = (-∝, 2]

Read more about domain and range at

brainly.com/question/27910766

#SPJ1

The formula for the given sequence is 1/(1x2)+1/(2x3)+1/(3x4)+...+1/(n(n+1)) = (n+1) [1/1! + (-1)^(n)/(n+1)!]

To find a formula for the given sequence, we can use the method of partial fractions. First, we can write each term as a fraction with a common denominator of (n+1):

1/(1x2) = (n+1)/(n+1)x1x2 = (n+1)/2!x(n+1)
1/(2x3) = (n+1)/(n+1)x2x3 = (n+1)/3!x(n+1)
1/(3x4) = (n+1)/(n+1)x3x4 = (n+1)/4!x(n+1)
...
1/(n(n+1)) = (n+1)/(n+1)xn(n+1) = (n+1)/(n+1)!x(n+1)

Then, we can add all the terms together:

1/(1x2)+1/(2x3)+1/(3x4)+...+1/(n(n+1)) = [(n+1)/2!x(n+1)] + [(n+1)/3!x(n+1)] + [(n+1)/4!x(n+1)] + ... + [(n+1)/(n+1)!x(n+1)]
= (n+1) [1/2! + 1/3! + 1/4! + ... + 1/(n+1)!]
= (n+1) [1/1! - 1/2! + 1/2! - 1/3! + 1/3! - ... + (-1)^(n)/(n+1)!]
= (n+1) [1/1! + (-1/2! + 1/2!) + (-1/3! + 1/3!) + ... + (-1)^(n)/(n+1)!]

We can simplify the terms in the brackets by noticing that every pair of adjacent terms cancels out, leaving only the first and last terms:

= (n+1) [1/1! + (-1)^(n)/(n+1)!]

Thus, the formula for the given sequence is:

1/(1x2)+1/(2x3)+1/(3x4)+...+1/(n(n+1)) = (n+1) [1/1! + (-1)^(n)/(n+1)!]

Learn more about sequence

brainly.com/question/30262438

#SPJ11