Consider the statement: 4 − 3 + 5 = −6 + 8 + 4. This is a mathematically
correct sentence.

Answer:

Let's start by using algebra to represent the problem.

Let x be the first multiple of 3, then the next two consecutive multiples of 3 are x + 3 and x + 6.

We know that 2/3 of the sum of the first two numbers is 1 greater than the third number, so we can write:

2/3(x + x + 3) = (x + 6) + 1

Simplifying, we get:

4x/3 + 2 = x + 7

Multiplying both sides by 3 to get rid of the fraction, we get:

4x + 6 = 3x + 21

Subtracting 3x and then simplifying, we get:

x = 15

Therefore, the first multiple of 3 is 15, and the next two consecutive multiples of 3 are 18 and 21.

So the three consecutive multiples of 3 are 15, 18, and 21.

Step-by-step explanation:

The value of the composite function (g o f)(6) is 3

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

f(x) = 2x + 3

g(x) = 1/5x

A. Find f(6)

substitute the known values in the above equation, so, we have the following representation

f(6) = 2 * 6 + 3

So, we have

f(6) = 15

For the function (gof)(6), we have

g(x) = 1/5x

This gives

(g o f)(6) = 1/5 * 15

Evaluate

(g o f)(6) = 3

Hence, the composite function has a solution of 3

Read more about composite function at

https://brainly.com/question/10687170

#SPJ1

Complete question

Given that f(x) = 2x + 3 and g(x) = 1/5x

Compute (gof)(6)

A. Find f(6)

B. substitute the value of g(x) into the function f(x) in place of x

C. 1/4 This is a counterexample

Answer: 4q^2

Step-by-step explanation:

(-2q)^2=

(-2*q)^2=

(-2)^2 * q^2=

4 * q^2=4q^2

Answer:

150

Step-by-step explanation:

The figure's area and perimeter are 562.08 m² and 123.68 m, respectively.

The figure in question is composed of a parallelogram and a crescent. The area of the parallelogram may be calculated using the equation base x level, yielding a value of 336 m².

The area of the crescent is calculated using the formula (π x r²)/2, yielding a value of 226.08 m². As a result, the total area of the figure is 562.08 m².

The parallelogram's perimeter is 86 m, while the boundary of the half circle is 37.68 m, for a total perimeter of 123.68 m.

The figure has a surface area of 562.08 m² and a perimeter of 123.68 m.

Learn more about the area:

https://brainly.com/question/1631786

#SPJ4

Step-by-step explanation:

the answer is in the image above

The salt will acquire octahedral hole. Thus option B is correct .

Given,

\(r^{+} = 165\\ r^{-} = 297\)

Now,

Find the coordination number ,

Radius ratio = \(r^{+} / r^{-}\)

Substitute the values of radius of salt to get the coordination number .

Radius ratio = 165/297

Radius ratio = 0.556 .

If the radius ratio is between 0.414 and 0.732

Range of radius ratio : 0.414 < r < 0.732

Then coordination number is 6 . If the coordination number is 6 then it will acquire octahedral void .

Know more about coordination number,

https://brainly.com/question/31751524

#SPJ4

Answer:

This sounds like a classic case of a homophone!

A homophone refers to the figurative speech which occurs when two words are spelled the same and they sound the same, but they have different meanings!

Hope this helped!

Answer: The answer is $s$ > 7, which represents the number of seconds that can pass for the temperature in the cryotherapy chamber to drop below -20°F.

Step-by-step explanation: The temperature in the chamber will drop below -20°F when it reaches -20°F + 2.5°F = -17.5°F.

The temperature in the chamber is currently 0°F, so we can represent this situation with the inequality 0 - (2.5 * $s$) < -17.5, where $s$ is the number of seconds that can pass.

We can simplify this inequality by multiplying both sides by -1 to get the following: 2.5 * $s$ > 17.5.

Dividing both sides by 2.5, we get the final inequality: $s$ > 7.

Therefore, the number of seconds $s$ that can pass for the temperature in the cryotherapy chamber to drop below -20°F is greater than 7 seconds.

\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)

\( \large\underline{ \boxed{ \sf{✰\:Note }}}\)

★ 1st let's know what is the given figure is and it's related concepts for solving !

➣ Given Triangle is a right angled triangle

➣ It is having 3sides let's know what are the name of these sides

➣ 1st AB is know as hypotenuse

➣ 2nd AC and is called Base of the triangle

➣ 3rd BC whích is know as perpendicular of the triangle

➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.

➣ Perpendicular(P):- Exactly upright; extending in a straight line.

➣ Base(B):- it also known as the side opposite to hypotenuse

➣Perpendicular and base are know as the leg of right angled triangle

➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"

➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides

★ Note :- The Pythagorean theorem only applies to right triangles.

\( \rule{70mm}{2.9pt}\)

★ Writing this theorem mathematically ★

\( { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}\)

★ Here ★

➣ Base (AC)= 22cm

➣ Perpendicular (height) (BC)= 8cm

\( \rule{70mm}{2.9pt}\)

✝ Assumption ✝

➣ let Hypotenuse ( AB ) = "x"

\( \boxed{ \rm{ \pink ➛AB^2= AC^2+BC^2}}\)

\( \rule{70mm}{2.9pt}\)

✝ let's substitute values ✝

\(\rm{ \pink ➛x^2=22 ^2+8^2} \\ \rm{ \pink ➛x^2 = 484+ {64} } \\ \rm{ \pink ➛ {x}^{2} = 548 } \\ \rm{ \pink ➛= {x} = \sqrt{548} } \\ \rm{ \pink ➛ x = 2\sqrt{137} \: or23.4} \\ \)

\( \rule{70mm}{2.9pt}\)

Hence Hypotenuse (AB) in the given triangle is of

\( { \boxed{✛\underline{ \boxed{ \sf{2\sqrt{137} \: or23.4\green✓}}}✛}}\)

\( \rule{70mm}{2.9pt}\)

Hope it helps !

Answer:18.75

Step-by-step explanation:

Answer:

Angles are \(43.2^0,64.8^0,72^0\)

Step-by-step explanation:

Sum of interior angles of triangle is \(180^0\)

The ratio of the measures of the three angles of a triangle is \(6:9: 10\)

Hence the angles can be \(6x,9x,10x\)

We have

\(6x+9x+10x=180\\\\25x=180\\\\5x=36\\\\x=7.2\\\\6x=43.2^0\\\\9x=64.8^0\\\\10x=72^0\)

Angles are \(43.2^0,64.8^0,72^0\)

The length of the segment in the complex plane is 5.

The length of a segment in the complex plane can be found using the distance formula. To find the length of the segment with endpoints at 4+2i and 7-2i, we can use the formula:

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

In this case, the coordinates of the first endpoint are x1 = 4 and y1 = 2i, while the coordinates of the second endpoint are x2 = 7 and y2 = -2i.

Plugging these values into the formula, we have:

Distance = sqrt((7 - 4)^2 + (-2 - 2)^2)
         = sqrt(3^2 + (-4)^2)
         = sqrt(9 + 16)
         = sqrt(25)
         = 5

Therefore, the length of the segment in the complex plane is 5.

To learn more about "Complex Numbers":

https://brainly.com/question/10662770

#SPJ11

Answer:

80

4

Step-by-step explanation:

You are correct in placing 80 in the box in the table. If you examine the table and the pattern, you'll see that as the number of marbles increases by 10, the weight of the bags increases by 40.

We can determine the rule by dividing 40 by 10: 40 ÷ 10 = 4.

So, the rule is actually to divide the weight of the bag by 4 to find the number of marbles.

Note that this is likely because each marble is 4 grams.

Answer:

No, the answer is to divide by 4

Step-by-step explanation:

You're so close, but if you look closely 320/3=106.67. However, 320/4=80. And if you look at the other choices, it applies to all of them. 40/4=10 , 80/4=20 , 120/4=30 , and 160/4=40.

Hope this help!!!

Step-by-step explanation:

 →  f(x) = 4   ⇒ -1≤x≤1

 →  f(x) =x+2 ⇒ 3≤x≤5

*it is upright 2

*choose two points (3,2), (5,4)

the slop= (4-2)/(5-3)=2/2=1

I hope it help

Once we have categorized an object, our memory of the object increasingly resembles the category is B) prototype. This means that when we categorize an object, our memory of it begins to resemble the prototype or typical example of that category. For example, if we categorize a bird as a robin, our memory of the bird will increasingly resemble the characteristics of a typical robin.

This happens because our brain uses prototypes as a shortcut to process information and make sense of the world around us. We use prototypes to quickly identify objects and make assumptions about their characteristics based on their category.

our memory of an object after categorization is influenced by the prototype of the category. This helps us to quickly process and make sense of information, but it can also lead to errors and biases in our thinking.


A prototype is a mental image or best example of a category. When we categorize an object, our memory of the object increasingly resembles the prototype because we tend to recall the most representative or typical example of the category.

Once we categorize an object, our memory of the object becomes more like the prototype, which is the best example of the category. This is because we tend to remember the most representative or typical examples of a category.

To know more about prototype, visit:

https://brainly.com/question/28187820

#SPJ11

Answer:

4/21

Step-by-step explanation:

Given:

Subject is k, so the following steps are to solve it for k:

Answer is 4/21

Answer:

57 inches

Step-by-step explanation:

the area with the triangle is 72

the area of the triangle was 15

Answer:

there's no question, I honestly don't see how I'm supposed to answer, thank you

The formula for  \(f^n(x)\) is \(f^n(x)=\frac{(-1)^{n-1}(n-1)! }{(x-1)^n}\).

What does derivative mean?

Calculus defines a derivative as the instantaneous pace at which a function changes in relation to another variable. Finding a function's derivative is the process of differentiation. A function's derivative is the same as its tangent's slope and rate of change.

Given function is \(f(x)=ln(x-1)\).

The first derivative of the function is \(f^1(x)=\frac{1}{x-1}\).

The second derivative of the function is \(f^2(x)=\frac{-1}{(x-1)^2}\).

The third derivative of the function is \(f^3(x)=\frac{2}{(x-1)^3}\).

The fourth derivative of the function is \(f^4(x)=\frac{-6}{(x-1)^4}\).

The fifth derivative of the function is \(f^5(x)=\frac{24}{(x-1)^5}\).

By observing the derivatives we could observe the pattern that

\(f^n(x)=\frac{(-1)^{n-1}(n-1)! }{(x-1)^n}\).

Therefore the formula for  \(f^n(x)\) is \(f^n(x)=\frac{(-1)^{n-1}(n-1)! }{(x-1)^n}\).

To learn more about derivatives, refer to the link below:

https://brainly.com/question/23819325

#SPJ4

The probability of Pat finishing on or before the 18th house is approximately 0.9978. This problem can be modeled using a geometric distribution, where the probability of success (selling a candy bar) is 0.3 and we want to find the probability of reaching the 8th success.

(a) The probability that Pat sells his last candy bar on the 14th house is:

P(X=14) = (1-0.3)^{13} * 0.3 = 0.002678

(b) The probability of Pat finishing on or before the 18th house is:

P(X≤18) = 1 - P(X>18) = 1 - (1-0.3)^{18} = 0.997805

Therefore, the probability of Pat finishing on or before the 18th house is approximately 0.9978.

Learn more about probability

https://brainly.com/question/30034780

#SPJ4

Answer:

75-82=-7

Step-by-step explanation:

e

The statements that only apply to C3, C4, and CAM photosynthesis are:

1. C3, C4, and CAM plants all have cells that have chloroplasts which attach CO2 directly to ribulose bisphosphate to produce sugars.

2. CAM plants have one set of cells that harvests CO2 and passes the carbon to another set of cells that builds sugars.

3. Stomata open at night to allow gas exchange and sugars are produced during the day.

The statement that applies to all three types of photosynthesis is: Light energy, CO2, and H20 are needed to make sugars.

C4 and CAM plants have adaptations that prevent the Calvin cycle from shutting down in periods of dryness. These adaptations include C4 plants using a carbon concentrating mechanism that separates the fixation of CO2 from the Calvin cycle and CAM plants using a process called crassulacean acid metabolism (CAM), where CO2 is taken up at night and stored as an acid until the following morning when it is converted into sugars in the Calvin cycle.

To know more about photosynthesis, refer here:

https://brainly.com/question/29764662#

#SPJ11

Answer:

91

Step-by-step explanation:

if the decimal is under 5 u round down

91. The digit before the . is higher than 5, so we round up.

The sum of the series 6-2 + 1²/23 - 1²/14 is approximately 3.9708. Since the sum of the terms approaches a finite value (3.9708), we can conclude that the series is convergent.

To determine the convergence of the series 6-2 + 1²/23 - 1²/14, we need to evaluate the sum of the terms and check if it approaches a finite value as we consider more terms.

Let's simplify the series step by step:

=6 - 2 + 1²/23 - 1²/14

= 6 - 2 + 1/23 - 1/14 (simplifying the squares)

= 6 - 2 + 1/23 - 1/14

Now, let's calculate the sum of these terms:

= 4 + 1/23 - 1/14

To combine the fractions, we need to find a common denominator. The common denominator for 23 and 14 is 322. Let's rewrite the terms with the common denominator:

= (4 * 322) / 322 + (1 * 14) / (14 * 23) - (1 * 23) / (14 * 23)

= 1288/322 + 14/322 - 23/322

= (1288 + 14 - 23) / 322

= 1279/322

= 3.9708

Therefore, the sum of the series 6-2 + 1²/23 - 1²/14 is approximately 3.9708.

Since the sum of the terms approaches a finite value (3.9708), we can conclude that the series is convergent.

To learn more about convergent visit:

brainly.com/question/15415793

#SPJ11

Answer:

y=-x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(-5-1)/(7-1)=-6/6=-1

y-y1=m(x-x1)

y-1=-1(x-1)

y-1=-x+1

y=-x+1+1

y=-x+2

Answer:

y=-1x+2

Step-by-step explanation:

m=  

-5 - 1 over 7 - 1

(1,1). y=mx+b or 1=-1 × 1+b, or solving for b: b=1-(-1)(1). b=2.

(7,-5). y=mx+b or -5=-1 × 7+b, or solving for b: b=-5-(-1)(7). b=

Answer:

y=2x-2

Step-by-step explanation:

m= slope= rise/ run. 2/1=2

Y intercept is -2, so the linear equation equals y=2x-2