Multiply (4x² + 3y) by (3x² - 4y) and verify the result for x = 1, y = 2​

The percentage of youths surveyed that prefer reading electronic books is 54%

The percentage of a number represents a portion or fraction of that number expressed as a percentage. It is often used to describe a proportion or relative value.

To calculate the percentage of a number, you can use the following formula:

Percentage = (Part / Whole) * 100

To determine the percentage of youths that prefer electronic books is;

youths (electronic books) = number of electronic books(youth) / total number of youths.

youths (electronic books) = 40/(40 + 34) * 100

youths (electronic books) = 40/74 * 100

youths (electronic books) = 0.54 * 100

youths (electronic books) = 54%

learn more on percentage here;

https://brainly.com/question/24877689

#SPJ1

Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

To learn more about inequality refer to:

https://brainly.com/question/28862943

#SPJ1

Answer:

The answer is B. 120

Step-by-step explanation:

The vendor has 24 litres in total and each small bottle can hold 0.2 litres.

24/0.2 = 120

In order to find the sample size, we can use the following formula that relates the population and sample standard deviations:

For a confidence interval of 95%, we have z = 1.96.

Then, using the values of the standard deviations, we have:

Rounding to the next whole number, we have a sample size of 139.

Answer:Taylor is 28 and Julian is 26.

Step-by-step explanation: Because their ages are even integers, we know that Taylor is 2 years older than Julian. We can write this as an equation 132 = 4x + x + 2  where x is Julian's age.

Subtract 2 from both sides and you have 130 = 4x + x.

4x + x is the same as 5x, 130 = 5x

Divide both sides by 5 and you get 26, Julian's age.

Taylor is 28 years old and Julian is 26 years old.

An equation is made up of two algebraic expressions with the same value and the sign "=" in between.

Given, Taylor is older than Julian.

Their ages are consecutive even integers.

Let x be the age of Julian and x + 2 be the age of Taylor.

According to the question;

We have the equation,

x + 2 + 4x = 132

5x = 132 - 2

5x = 130

x = 130 / 5

x = 26

Julian's age is 26 and Taylor's age is 26+2 = 28.

Therefore, the Taylor is 28 years old and Julian is 26 years old.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

Answer:

C. 2 \(\frac{1}{4}\)

Step-by-step explanation:

First, calculate the amount of clay that both groups used in total. We can find this by multiplying the amount by the number of students.

Used 3/4 of a pound:

3/4(4) = 3 pounds

Used 1/4 of a pound:

1/4(3) = 3/4 pound

Now, subtract:

3 - 3/4 = 2 and 1/4

Answer

i got it right

C. 2

Answer:

7083 KM/H

Step-by-step explanation:

17000 / 2.4 = 7083 (Plus some decimals, but rounded up its 7083.)

Answer:

C

Step-by-step explanation:

The congruency rules, AAS and ASA do not work as these triangle do not share any congruent angles or sides.

Answer:

A'(3, 2 ), B'(6, 6 ),C'(6, - 3 )

A translation of 2 units right is equivalent to adding 2 to the x- coordinate with no change to the y- coordinate.

A(1, 2 ) → A'(1 + 2, 2 ) → A'(3, 2 )

B(4, 6 ) → B'( 4 + 2, 6 ) → B'(6, 6 )

C(4, - 3 ) → B'(4 + 2, - 3 ) → B'(6, - 3 )

Step-by-step explanation:

Hope this helps:)

Answer:

Hello,

Step-by-step explanation:

a)

\(y=a^x*b+c\\\\if\ x- > -\infty,\ y- > -1 \ \Longrightarrow\ c=-1\\if\ x=0\ y=1\ \Longrightarrow\ 1=b-1\ \Longrightarrow\ b=2\\if\ x=1\ y=5 \ \Longrightarrow\ a*2-1=5\ \Longrightarrow\ a=3\\\\\boxed{y=2*3^x-1}\\\)

b)

\(f(x,y)=(x-a)(y-b)-k=0\ since\ hyperbola\ "\' equilat\`ere\ in\ French"\\\\\dfrac{\partial{f}}{\partial{x}} =y-b=0\ \Longrightarrow\ y=b\\\\\dfrac{\partial{f}}{\partial{y}} =x-b=0\ \Longrightarrow\ x=a\\\\Here\ center\ is\ (0,2)\ so (x-0)(y-2)=k\\\\(-3,3)\ is \ a\ point\ of \ the\ hyperbola:\\-3*(3-2)=k\ \Longrightarrow\ k=-3\\\\\boxed{x(y-2)=-3}\\\)

c)

It is parabola

y=k*(x-3)(x+3)

(1,24) is a point of the parabola:

24=k*(1²-9) => k=-3

\(\boxed{y=-3(x^2-9)}\\\)

Equivalent expressions are expressions that have the same value.

The equivalent expression of \(g^{-3}h\) is: \(\frac{h}{g^3}\)

The expression is given as;

\(g^{-3}h\)

Apply law of indices to change the exponents

\(g^{-3}h = \frac{1}{g^3}h\)

Express as products

\(g^{-3}h = \frac{1}{g^3} \times h\)

Rewrite as

\(g^{-3}h = \frac{h}{g^3}\)

Hence, the equivalent expression is: \(\frac{h}{g^3}\)

Read more about equivalent expressions at:

https://brainly.com/question/24242989

Answer:

3+4i

Step-by-step explanation:

let x be the answer

(3-4i)x=25

x=25/(3-4i)

multiply by the conjugate

x=(25(3+4i))/25

x=3+4i

Step-by-step explanation:

solution

2/7 of 3/4= 2/7×3/4=

(2×3)/ (7×4)

Ans = x= 3+4i

Answer:

16/11

Step-by-step explanation:

Step-by-step explanation:

The weight average of the coordinates is 5

The given parameters are:

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

So, we have:

Weight average = (-1 * 1 + 4 * 2 + 9 * 2)/(1 + 2 + 2)

Evaluate the quotient

Weight average = 5

Hence, the weight average of the coordinates is 5

Read more about average at

brainly.com/question/20118982

#SPJ1

Answer:

x=2

9+2=11

6+2=8

8x11+88

Step-by-step explanation:

Step-by-step explanation:

5x=10 divide both sides by the coefficient of x and that will give you 2. Therefore, x=2

2x=14 divide both sides by the coefficient of x and that will give you 7. Therefore, x=7

3x=15 divide both sides by the coefficient of x and that will give you 3. Therefore, x=3

7x =21 divide both sides by the coefficient of x and that will give you 3. Therefore, x=3

5x=30 divide both sides by the coefficient of x and that will give you 6. Therefore, x=6

9p=27 divide both sides by the coefficient of p and that will give you 3. Therefore, p=3

6m=30 divide both sides by the coefficient of m and that will give you 5. Therefore, m=5

3q=24 divide both sides by the coefficient of q and that will give you 8. Therefore, q=8

8r=24 divide both sides by the coefficient of r and that will give you 3. Therefore, r=3

I will be glad to be corrected if I make any mistake

The option C. Driver's License is not necessary to book a flight.

Driver's License is an official document given to a person who is permitted to drive vehicle on the road.

This is usually given after certain tests including Physical driving and other general knowledge of driving.

Now, when we book a flight, credit card can be used to book a flight, but not necessary.

But there is a chance than you can use the credit card.

Arrival city is necessary when you book a flight because then only other procedures will follow.

Similarly, date of travel is also required in order to book the flight on a particular day.

So the least necessary document is Driver's License.

Hence Driver's License is not necessary to book a flight.

To learn more about Booking a Flight, click :

https://brainly.com/question/30019956

#SPJ7

Answer:

480 in^3

Step-by-step explanation:

Multiplying the length of each of the sides together gives the volume, so \(12*4*10=480\)

Venn diagram:

The percentage of students that studied mathematics = 25%
The percentage of students that studied electronics = 20%
The percentage of students that studied Communications = 55%
The percentage of students that studied both electronics and Communications subjects = 10%

P(studied Communications or electronics or both subjects)
= P(studied Communications) + P(studied electronics) - P(studied both electronics and Communications subjects)
= 55% + 20% - 10%
= 65%

Therefore, the probability that a student studied Communications or electronics or both subjects is 65%.

P(studied mathematics and Communications subjects)
= P(studied mathematics) × P(studied Communications)
= 25% × 55%
= 13.75%

Therefore, the probability that a student studied mathematics and Communications subjects is 13.75%.

Drawing a Venn diagram, we have 25% studying Mathematics (M), 20% studying Electronics (E), and 55% studying Communications (C).10% studied both Electronics and Communications.

Therefore, the percentages become as follows: M = 25% - 10% = 15% E = 20% - 10% = 10% C = 55%.

Part 2 - To obtain the probability that a student studied Communications or Electronics or both subjects

P(Communication or Electronics) = P(Communication) + P(Electronics) - P(Communication and Electronics) = 55% + 20% - 10% = 65%.

The probability that a student studied Communications or Electronics or both subjects is 65%.

Part 3 -To obtain the probability that a student studied Mathematics and Communications subjects,

P(Mathematics and Communications) = P(Mathematics) * P(Communications) = 25% * 55% = 13.75%.

The probability that a student studied Mathematics and Communications subjects is 13.75%.

To know more about Venn diagram visit:

https://brainly.com/question/17041038

#SPJ11

Answer:

-12

Step-by-step explanation:

hope it helps

have a nice evening

The adaptive-response-rate single exponential smoothing model is best applied to time series data that are non stationary and seasonal which means option D is the right answer.

The adaptive response rate single exponential smoothing model is used to demonstrate the changes in the forecasting data and the fluctuation in data values with respect to time which are smoothened by a coefficient. The larger the coefficient, the greater the smoothing effect.

This kind of model is ineffective for stationary time series as it takes into account the smoothing of the information. Adaptive smoothing is computationally difficult. Exponential smoothing produces accurate forecasts. The forecast shows projected demand and actual demand.

Learn more about exponential smoothing at:

brainly.com/question/15061467

#SPJ4

The equation with the new substitutions and conversion factor is a'B'T' = (1/6) * (2/3)^(1/3) * a^(1/3) * d^(1/2)*a^6/6 where k is (1/6) * (2/3)^(1/3) * a^(1/3) * d^(1/2) The intercept value of the log-log graph would have been -1.108.

Starting with Equation 4: T = ka^6/6, we can substitute a = (d/k)^(1/6) and b = (2/3)^(1/2) * (d/k)^(1/3) to get

T = k[(d/k)^(1/6)]^6/6

T = k(d/k)^(1/2)/6

T = (k^(1/2)/6) * d^(1/2)

Now we can rearrange the equation so that a, b, and t are on the left side

a'B'T' = ka^6/6

(a/d)^(1/6) * b^(2/3) * T' = k[(a/d)^(1/6)]^6/6 * T'

(a/d)^(1/6) * (2/3)^(1/2) * (d/k)^(1/3) * T' = (k^(1/2)/6) * d^(1/2) * T'

(2/3)^(1/2) * (a/d)^(1/6) * d^(1/3) * T' = (k^(1/2)/6) * d^(1/2) * T'

(2/3)^(1/2) * (a/d)^(1/6) * d^(1/3) = k^(1/2)/6

k = [(2/3)^(1/2) * (a/d)^(1/6) * d^(1/3)]^2/6

k = (1/6) * (2/3)^(1/3) * a^(1/3) * d^(1/2)

With this new conversion factor, the intercept of the log-log graph would have changed. The intercept represents the value of T when a = 1 (since log(1) = 0). Using the new conversion factor, we have

T = (1/6) * (2/3)^(1/3) * d^(1/2) * a^(1/3)

T = (1/6) * (2/3)^(1/3) * d^(1/2)

log(T) = log[(1/6) * (2/3)^(1/3) * d^(1/2)]

log(T) = log(1/6) + log[(2/3)^(1/3)] + log(d^(1/2))

log(T) = log(1/6) + (1/3) * log(2/3) + (1/2) * log(d)

So the intercept of the log-log graph would be log(1/6) + (1/3) * log(2/3) = -1.108, assuming that d is held constant. This intercept represents the value of log(T) when log(a) = 0, or when a = 1. In other words, when a = 1, the predicted value of T would be 0.162 (or 16.2% of its maximum value).

To know more about log graph:

https://brainly.com/question/17009226

#SPJ4

--The given question is incomplete, the complete question is given

" Plug the two substitutions into Equation 4 (T = ka^6/6)). Rearrange the equation so that a, b,t are on the left side of the equation and d remains on the right side, e.g. a'B'T' = ka^6/6 you will figure out what the "k" if you used this version of the equation (including your new conversion factor, how would this have changed the intercept of your log-log graph? what would its value have been?"--

Answer:

The answer is -71.

Step-by-step explanation:

Step-by-step explanation:

What is the original problem?

Is it -1 - (-8)?

If so, then the answer is -7 because negative + negative = positive

-1 + 8 = -7

-31 - 40 = -71

-34 - 40 = -74

Answer:

Step-by-step explanation:

they will attend on april 12

Answer:

0

Step-by-step explanation:

5.5(-7+7)

5.5(0)

0

Answer:

0

Step-by-step explanation:

putting k = -7

=> 5.5. ( -7 × 7)

=> 5.5 × 0

=> 0

since any number we multiplied by zero is zero

Answer:

The complete predicate is the following: "is going to a football game tomorrow."

Step-by-step explanation:

A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.

Answer:

The complete predicate is the following: "is going to a football game tomorrow."

Step-by-step explanation:

A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.

Answer:

x = 20

Step-by-step explanation:

\((2x) \degree + x \degree+ 60 \degree + (360 - 120) \degree = 360 \degree \\ \\ (3x) \degree+ 60 \degree + 240 \degree = 360 \degree \\ \\ (3x) \degree+ 300 \degree = 360 \degree \\ \\ 3x = 360 \degree - 300 \degree\\ \\ (3x ) \degree= 60 \degree \\ \\ 3x = 60 \\ \\ x = \frac{60}{3} \\ \\ x = 20 \)