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Graph the function f(x)=3(0.25)x.

How can features of the graph be described?

Select from the drop-down menus to correctly complete the statements.

The function is an example of exponential
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.

As x
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without bound, the function approaches y = 0. As x
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without bound, the function
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without bound.

The formula for the volume of triangular prism is,

Here, 'b' is base of triangular face, 'h' is height of triangula face and 'l' is length between two triangular faces (Top and bottom).

Determine the volume of the triangular prism.

So answer is 432 inches cube.

Answer:

3

Step-by-step explanation:

because I said so my dude

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You can make the work a little easier by solving the equation for y:

  x + y = 6

  y = 6 - x . . . . . . . subtract 6 from both sides

Now, you can fill in the x-values and find y quickly. For example, ...

  y = 6 -(-2) = 8 . . . for x = -2

  y = 6 - 3 = 3 . . . . for x = 3

These values are shown in the attached table and graph.

Answer:

middle set of data

Step-by-step explanation:

The image of the function f(x) = x² is equal to g(x) = x² - 1.

In this problem we find the definition of a quadratic equation f(x) = x² and the graph of the image, whose expression must be derived. By direct inspection, we notice that the image is a vertical translation of the parent function. Vertical translations are defined by the following formula:

f(x) → f(x) + k, k > 0 for an upward translation.

If we know that f(x) = x² and k = - 1, then the equation for the image is:

g(x) = x² - 1

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Given: The following polynomial expression

Required: To simplify the given polynomial expression.

Explanation: The following identity will be used

Hence,

Or, we can write it as follows

Final Answer: The simplified expression is

Answer:

sorry this is my only answer:))

80 and 90

Step-by-step explanation:

√81 = 9

Answer:

x:y I think this answer is correct

Step-by-step explanation:

Step-by-step explanation:

since we need to multiply only one equation with something, elimination might be a good method here. we bring both equations to 4x terms and then subtract the second from the first equation :

4x + 2y = 6

- 4x - 12y = 20

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

0 14y = -14

y = -1

=> e.g. in the second original equation

x - 3×-1 = 5

x + 3 = 5

x = 2

Answer:

function

Step-by-step explanation:

The verticle line test is basically seeing if it is a function

It is a function when the verticle line touches only one point on the graph at once

For example, if the graph was a circle, and u drew a verticle line through it, it would touch two points on the graph, so it is NOT a function

But for this parabola, if you draw a verticle line at any point, it only touches one point of the graph, so it is a function

A vertical line test is a graphical approach for assessing if a curve in the plane reflects the graph of a function.

The correct option is C, function.

The vertical line test is a method used to determine whether a graph represents a function or not. If a vertical line can be drawn on the graph such that it intersects the graph in more than one point, then the graph is not a function.

The graph of the given function, intersect the vertical axis or the y-axis at most one time, therefore, the given graph passes the vertical line test. Thus, it can be concluded that the given graph is a function.

Hence, the correct option is C, function.

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Answer:

Variable terms: 4a and 6a

Constant terms: 4 and 11

Step-by-step explanation:

A constant term is one that is NOT multiplied by any variables.

At this level of math, think of constants as terms that are only numbers.

(for example: 1, 68.9, -42, etc.)

Note that a term in « a + bi » form can also be a constant.

A variable term is a one that IS multiplied by a variable.

(for example x, -3y, 8z, etc.)

In question 1, the variable terms are:

4a and 6a because they are multiplied by the variable a

The constant terms are:

4 and 11 because they are simply integers

Note that the constant terms could also be written as -4 and -11 depending on how the operations are viewed (subtracting vs adding a negative)

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

a) The difference between​ carrier's highest data speed and the mean of all 50 data​ speeds is of: 54.62 Mbps.

b) This difference represents 1.54 standard deviations.

c) The z-score is of z = 1.54.

d) The carrier's highest data speed​ is not significant, as it is less than 2 standard deviations from the mean.

The parameters to this problem are given as follows:

Hence the difference between​ carrier's highest data speed and the mean of all 50 data​ speeds is obtained as follows:

72.6 - 17.98 = 54.62 Mbps.

Then we calculate the z-score, which is the division of this difference by the standard deviation, giving how many standard deviations the data is from the mean.

z = 54.62/35.53

z = 1.54

Hence the measure is 1.54 standard deviations from the mean, which is not unusual, as it is less than 2 standard deviations from the mean.

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Answer:

the answer is  9x

Step-by-step explanation:

y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

Two or more expressions with an Equal sign is called as Equation.

Given that,

Elizabeth recently bought a new bike, and she has started biking to and from work.

The round-trip distance is 9 kilometers.

We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

y=9x

Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

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The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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An improper fraction is a fraction where the numerator is greater than the denominator

This is improper because you can't have more parts than the whole. WELL you can, math is confusing

You can have a mixed number, which says how many wholes there are and how many parts of a whole there is.

It's just called an improper fraction just like that I guess,

all you really need to know is that the numerator (the top number) is greater than the denominator (the bottom number), and to make it proper, you have to make it into a mixed number, but you have to use improper fractions to perform some operations.

You'll learn more about converting stuff from improper fractions to mixed numbers and vice versa to perform certain operations in the future, but for now, you just need to know what an improper fraction is.

I hope this helped, let me know if you have any questions.

Answer:

Step-by-step explanation:

An improper fraction is one where the magnitude of the numerator is greater than the magnitude of the denominator.

It is not enough to say that the numerator is greater than the denominator. You need to compare their magnitudes, i.e., their absolute values.

Suppose the fraction is 10/(-23).  10 is greater than -23, but 10/(-23) is not an improper fraction.

Answer:

option C : 3 units

Step-by-step explanation:

radius of circle is 3 units

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Answer:

(2a)3

Step-by-step explanation:

Hopes This Helps!!

Answer:

they are positively correlated.

Step-by-step explanation:

We can calculate the individal expectations first. FIrst player will win if that player's roll is greater than the bank's roll. There are (6 possible rolls of player 1 * 6 possible rolls of bank =) 36 total possible rolls, out of which player 1 will win in 15 cases.

\(\therefore E(I_i) = 1\cdot \frac{15}{36} + 0 \cdot \frac{21}{36} = \frac{5}{12} \approx 0.4167\)

For the joint expectation, there are (6 possible rolls of player 1 * 6 possible rolls of player 2 * 6 possible rolls of bank =) 216 total possible rolls.

Cases where both players win: Expectation = $2.

If bank rolls 1, both players will win in 5*5 = 25 cases. P1 is one of {2,3,4,5,6}, P2 is one of {2,3,4,5,6}

If bank rolls 2, both players will win in 4*4 = 16 cases.

If bank rolls 3, both players will win in 3*3 = 9 cases.

If bank rolls 4, both players will win in 2*2 = 4 cases.

If bank rolls 5, both players will win in 1*1 = 1 cases.

If bank rolls 6, both players will win in 0*0 = 0 cases.

Total cases = 25+16+9+4+1+0 = 55 cases.

Cases where player 1 wins $1 and player 2 loses: Expectation = $1.

If bank rolls 1, player 1 will win and player 2 will lose in 5*1 = 5 cases. P1 is one of {2,3,4,5,6}, P2 is {1}

If bank rolls 2, player 1 will win and player 2 will lose in 4*2 = 8 cases.

If bank rolls 3, player 1 will win and player 2 will lose in 3*3 = 9 cases.

If bank rolls 4, player 1 will win and player 2 will lose in 2*4 = 8 cases.

If bank rolls 5, player 1 will win and player 2 will lose in 1*5 = 5 cases.

If bank rolls 6, player 1 will win and player 2 will lose in 0*6 = 0 cases.

Total cases = 5+8+9+8+5+0 = 35

Cases where player 2 wins $1 and player 1 loses: Expectation = $1.

This is the same as above with player 1 and 2 exchanged.

Total cases = 35

Cases where both players lose: Expectation = $0.

If bank rolls 1, both players will lose in 1*1 = 1 cases. P1 is {1}, P2 is {1}

If bank rolls 2, both players will lose in 2*2 = 4 cases.

If bank rolls 3, both players will lose in 3*3 = 9 cases.

If bank rolls 4, both players will lose in 4*4 = 16 cases.

If bank rolls 5, both players will lose in 5*5 = 25 cases.

If bank rolls 6, both players will lose in 6*6 = 36 cases.

Total cases = 1+4+9+16+25+36 = 91 cases.

Total of all cases (we expect this to be 216 as mentioned above) = 55+35+35+91=216

So, joint expectation is:

\(E(I_1I_2) = \frac{2\cdot 55 +1\cdot 35+1\cdot 35+0\cdot 91}{216} = \frac{180}{216}= \frac{5}{6} \approx 0.8333\)

So, the covariance is given by:

\(\texttt{Cov}(I_1I_2) =E(I_1I_2) -E(I_1)\cdot E(I_2)= \frac{5}{6}-\frac{5}{12}\cdot\frac{5}{12}=\frac{95}{144} \approx 0.6597\)

As this is greater than 0 and closer to 1, they are positively correlated.

The reason why this result is expected is because the same bank roll is being used for both players. So, it is very likely that both players will win if the bank roll is 1 or even 2. Also, it is very likely that both players will lose if the bank roll is 6, 5, or even 4. This shows positive correlation between the events.

The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

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Answer: Sina Au,Jho at Tess ay anak ng mag asawang sing ng

Roy at Aling Lita, Si Ay ay 7 taon na mas matanda kay the

at 2 taon mas bata kay Tess, Kung ang kabuyang edad ay

70. llan taon si Au?​

Step-by-step explanation:

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

ANSWER

EXPLANATION

We want to solve the simultaneous equations given:

Substitute the first equation for y in the second equation:

Simplify and solve for x:

Substitute the value of x in the first equation and solve for y:

Therefore, the solution to the equations is:

Answer:

Solve for x

x= y+3/4

​Solve for y

y=4x−3

Step-by-step explanation:

TO SOLVE FOR X

Steps for Solving Linear Equation

2x−6x+y=−3

Combine 2x and −6x to get −4x.

−4x+y=−3

Subtract y from both sides.

−4x=−3−y

The equation is in standard form.

−4x=−y−3

Divide both sides by −4.

−4

−4x

​

=

−4

−y−3

​

Dividing by −4 undoes the multiplication by −4.

x=

−4

−y−3

​

Divide −3−y by −4.

x=

4

y+3

​

TO SOLVE FOR Y

Solve for y

y=4x−3

Solution Steps

2x−6x+y=−3

Combine 2x and −6x to get −4x.

−4x+y=−3

Add 4x to both sides.

y=−3+4x

Answer:

b = -5

Step-by-step explanation:

Let's figure this equation, step by step.

-3b + 8 = 38 + 3b

Step 1: Subtract 3b from both sides. This cancels out the addition by 3b.

-3b + 8 - 3b = 38

Step 2: Combine -3b and -3b to get -6b.

-6b + 8 = 38

Step 3: Subtract 8 from both sides. This cancels out the addition by 8.

-6b = 38 - 8

Step 4: Subtract 8 from 38 to get 30.

-6b = 30

Step 5: Divide both sides by -6. This undoes the multiplication by -6.

b = 30/-6

Step 6: Divide 30 by -6 to get -5.

b = -5

Let's check our work by substituting -5 for b in the equation above.

-3(-5) + 8 = 38 + 3(-5)

15 + 8 = 38 + (-15)

23 = 23

Both sides are the same, so b = -5.