The domain for f(x) and g(x) is the set of all real numbers.Let f(x) = 3x + 5 and g(x) = x2.Find f(x) · g(x).3x^2+53x^3+3x^2+5X^2-3x-53x^3+5x^2

Answer:

see explanation

Step-by-step explanation:

The rule explains what happens to the input value in order to obtain the output.

input = 4 , then divide by 4

4 ÷ 4 = 1 , then add 2

1 + 2 = 3

---------------------------------------

input = 6 , divide by 4

6 ÷ 4 = 1,5 . now add 2

1.5 + 2 = 3.5

-----------------------------------------

input = 8 , divide by 4

8 ÷ 4 = 2 , now add 2

2 + 2 = 4

-------------------------------------------

input = 10 , divide by 4

10 ÷ 4 = 2.5 , now add 2

2.5 + 2 = 4.5

--------------------------------------------

input  |  0 | 2 |   4 |  6 |  8 | 10

------------------------------------------

output| 0 | 2.5 | 3 | 3.5 | 4 | 4.5        

Answer:

Ok, Dear This is the most easy question.

Focus with me , Ill tell you the answer and explain it

First answer :3

Secound answer:3.5

Third answer:4

Last one :4.5

Step-by-step explanation:

So Baisicly,

First answer : We Devide 4 by 4 so its equal to 1 and then we add 2 then its equal to 3.

Secound answer: We divide 6 by 4 so it becomes 1.5 and then add 2 so itll become 3.5.

Thid answer: We divide 4 by 8 and so it becomes equal to 2 and then we add 2 so its 4.

Last one: We divide 4 by 10 and so it becomes 2.5 and then we add 2 so itll become 4.5.

Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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Answer:3

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The area of one of the four triangles is \(\frac{1}{2}\times 5 \times 7 = 17.5\). So together the area of all the four traingles is \(4\times 17.5 = 70\)

Answer:

A: the probability that a 1 is received is 0.56.

B:  the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

Step-by-step explanation:

To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.

a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.

Let's denote:

P(1 sent) = 0.6 (probability a 1 is sent)

P(0→1) = 0.2 (probability a 0 is flipped to 1)

P(1 received) = ?

P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)

= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)

= 0.6 * (1 - 0.2) + 0.4 * 0.2

= 0.6 * 0.8 + 0.4 * 0.2

= 0.48 + 0.08

= 0.56

Therefore, the probability that a 1 is received is 0.56.

b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.

Let's denote:

P(0 sent) = ?

P(1 received) = 0.56

We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).

Using Bayes' theorem:

P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)

P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08

P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56

Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):

P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56

Simplifying:

P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56

= 0.08 * (1 - P(0 sent)) * (1 / 0.56)

= 0.08 * (1 - P(0 sent)) * (25/14)

= (2/25) * (1 - P(0 sent))

Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Answer:

9:6

Step-by-step explanation:

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.

To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.

We shade the area where the circles for D and E overlap because the equation (D ⋃ E)  denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.

The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.

The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.

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The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

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Answer:

Shawn is expected to have 6 free throws.

Explanation:

Given that Shawn has averaged 3 out of 11 free throws per game, we are required to find how many free throws he can expect if he takes 22 free throws in his next game.

His average = 3/11

Expected throw = (3/11)*22 = 3*2 = 6

That is, Shawn is expected to have 6 free throws in his next game.

The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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Step-by-step explanation:

The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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Percent to the nearest whole number = 7%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability = (Number of possible outcomes)/(Total number of outcomes)

Total number of outcomes = 2 + 15 + 2 + 11 = 30

Number of possible outcomes = 2

Probability = 2/30 = 1/15 = 0.0666

Percent to the nearest whole number =  0.0666 *100 = 7%

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Answer:7

Step-by-step explanation:

The answer of the above question is [0,30]

An absolute value inequality is one with an absolute value sign and a variable inside.

An important point to remember: | x |= {x if x ≥ 0 }

| x |= {x if x< 0}

taking the expression  |-2z+30| ≤ 30

Write the equivalent compound inequality.

-30≤ -2z+30 ≤ 30

= -30-30 ≤ -2z ≤ 30-30

= -60≤ -2z ≤ 0

= -60/2 ≤ -z  ≤ 0

= -30 ≤ -z  ≤ 0

Solve the compound inequality.

= 0 ≥ z ≥ 30 (reversing of signs)

Hence, the solution using interval notation  [0,30].The check is left to you.

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Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer:

\(\frac{dc}{dt}=11.05 m/hr\)

Step-by-step explanation:

Using the low of cosine we have:

\(c^2=a^2+b^2-2abcos(\theta)\)

Here:

a is 3 m

b is 2.5

c is the distance between the tips of the hands

Solving this equation for cos(θ) we have:

\(cos(\theta)=\frac{3^2+2.5^2-c^2}{2*3*2.5}\)

\(cos(\theta)=\frac{15.25-c^2}{15}\)

Now we need to take the derivative with respect to time (t) on each side of the equation.

\(-sin(\theta)\frac{d\theta}{dt}=\frac{1}{15}(-2c\frac{dc}{dt})\)

\(sin(\theta)\frac{d\theta}{dt}=\frac{2c}{15}(\frac{dc}{dt})\)

Here dc/dt represents how fast the distance between the tips changes.

Now, we need to find the variation of the angle with respect to time.

The minute hand angle covers 360° in 1 hour and the hour hand 30° in 1 hour, therefore the covers angle between the tips in one hour will be 360-30=330° or dθ/dt = 330°/hr = 5.76 rad/hr.

On the other hand, we can find c at 9:00. In this case, we have a right triangle. Let's see that the angle between the hands at this time is 90° so sin(90)=1

\(c=\sqrt{3^2+2.5^2}=3.91 m\)

Putting all of this in our equation we have:

\(sin(90)5.76=\frac{2*3.91}{15}(\frac{dc}{dt})\)  

\(5.76=\frac{2*3.91}{15}(\frac{dc}{dt})\)  

\(\frac{5.76*15}{2*3.91}=(\frac{dc}{dt})\)  

\((\frac{dc}{dt})=11.05 m/hr\)  

Therefore the rate change of the tips will be 11.05 m/hrs.

I hope it helps you!  

Answer:

The sale price of the TV is $ 300.

Step-by-step explanation:

Given that a television costs $ 450, but during a special sale, it’s marked 1⁄3 off, to determine what’s the sale price of the TV the following calculation must be performed:

1/3 = 0.333

1 - 0.333 = 0.666

450 x 0.666 = X

300 = X

Therefore, the sale price of the TV is $ 300.

Answer:

0.4588

Step-by-step explanation:

When we have random sample, the z score formula we use is:

z = (x-μ)/σ/√n

where x is the raw score = 14

μ is the population mean = 13.9

σ is the population standard deviation = 2.9

n is random number of samples = 9

z = 14 - 13.9/2.9/√9

z = 0.1/2.9/3

z = 0.10345

Probability value from Z-Table:

P(x<14) = 0.5412

P(x>14) = 1 - P(x<14) = 0.4588

The probability that their mean life will be longer than 14 years is 0.4588

The number of cups that are left in a half-gallon carton of orange juice after 3 cups are used is 5 cups.

To solve this question, we'll need to convert gallons to cups. This will be:

1 gallon = 16 cups. Therefore, 1/2 gallon will be = 1/2 × 16 = 8 cups.

In this case, we'll then subtract the number of cups that have been used from 8 cups. This will be:

= 8 cups - 3 cups .

= 5 cups.

Therefore, the number of cups that are left after 3 cups are used is 5 cups.

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1.

9/2 = 4.5 radius

2.

4.5^2*pi = 63.6

3.

63.6 * 7/8 = 55.65

Area of the remaining slices: 55.65

Answer:

3:5 is less tan 7:10

The ratio 14:20 is greater than the ratio 9:15.

The ratios in Table 1 are less than the ratios in Table 2.

Step-by-step explanation:

3:5 as a fraction is 6/10

7:10 as a fraction is 7/10

3:5 is less

3:5 is less than 7:10...

The ratio 14:20 is greater than the ratio 9:15...

The ratios in Table 1 are less than the ratios in Table !

^ Those are the statement you should place a check mark by!

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

82% of 50 is 41

Step-by-step explanation:

✧brainliest appreciated✧

Answer:

CA || HR

CM || HA

Step-by-step explanation:

the triangles are the same

Answer:

its option D......im 100 percent sure

Answer:

d

Step-by-step explanation: