Which exponential function has an initial value of 2? f(x) = 2(3x) f(x) = 3(2x)

Answer:

x=-4

Step-by-step explanation:

6(2x-1)-12=3(7x+6)

Distribute

12x -6 -12 = 21x +18

Combine like terms

12x-18 = 21x+18

Subtract 12x from each side

12x-12x-18 = 21x-12x+18

-18 = 9x+18

Subtract 18 from each side

-18-18 = 9x+18-18

-36 = 9x

Divide by 9

-36/9 = 9x/9

-4 =x

The experimental probability of tossing tails in the given scenario is 0.4 or 40%, which is determined by dividing the number of tails (6) by the total number of tosses (15).

The student is asking to determine the experimental probability of tossing tails when a coin was tossed 15 times and resulted in 9 heads and 6 tails. Experimental probability is calculated by dividing the number of times an event occurs by the total number of trials. In this case, the coin landed as tails 6 times out of 15 tosses.

To find the experimental probability of tossing tails, use the formula:

Experimental Probability of Tails = Number of Tails / Total Number of Tosses

So, it would be:

Experimental Probability of Tails = 6 / 15

Experimental Probability of Tails = 0.4 or 40%

Answer:  3x+6y=22

6x+12y=44

Step-by-step explanation: my math teacher told me

3x+6y=22 and 6x+12y=44 system of linear equations have an infinite number of solutions.

A system of linear equations will have an infinite number of solutions when the equations are the same. That is, when the equations coincide.

Let's take the system,

3x-8y=21

6x-16y=46

Divide the second equation throughout by 2:

We get 3x-8y=23, This is not the same as the first equation. This system does not have infinitely many solutions.

Let's take the system,

3x+6y=22

6x+12y=44

Divide the second equation throughout by 2:

We get 3x+6y=22, This is the same as the first equation. This system has infinitely many solutions.

Let's take the system,

5x+9y=2

10x-14y=48

Divide the second equation throughout by 2:

We get 5x-7y=24, This is not the same as the first equation. This system does not have infinitely many solutions.

Let's take the system,

5x-9y=20

10x+18y=40

Divide the second equation throughout by 2:

We get 5x+9y=20, This is not the same as the first equation. This system does not have infinitely many solutions.

Therefore, we have found the system of equations contained in option B has infinitely many solutions.

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Answer:

Step-by-step explanation:

each new value is obtained by dividing the previous value by 5.  For example, if we have 125, the next value is 125/5, or 25.

Answer:

Divide the previous value by 5

Step-by-step explanation:

5³, 5², 5¹, 5⁰, 5⁻¹, 5⁻²

The pattern of the exponents is evident that to get the next term, we divide the previous value by 5.

5³, to get 5², we divide 5³ by 5

To get 5¹, we divide 5² by 5 and so on.

(8c+5)(-2c-3)

Multiply each term together, then combine like terms:

8c * -2c = -16c^2

8c *-3 = -24c

5 * -2c = -10c

5 *-3 = -15

Now combine:

-16c^2 - 24c -10c -15

Simplify:

-16c^2 -34c -15

Answer:

-16c^2 - 24c -10c -15

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Step 1:

Find the volume of each square: do 3/4*3/4*3/4.

Each square's volume is 27/64.

Step 2:

Find the volume of the cube.

Multiply 8*6*12.

8*6*12=576.

Step 3:

Do 576*27/64.

576*27/64=243.

Answer:

the other one is (2, 2)

the area is 24

Step-by-step explanation:

A = (2+2)(2+4) = 24

Answer:

a⁻⁵

Step-by-step explanation:

1/a²·1/a³

Multiply numerators and denominators

= (1 × 1)/(a² × a³)

= 1/a⁵

= a⁻⁵

Answer:

0.07

.7 is 7 tenths or 70 hundredths

.07 is 7 hundredths

To find the circumference of a circle that lists only as a diameter, you would do pi*d so lets say the diameter is 6, you would do pi*6 which would end up giving you 18.84. I hope this helps a bit! (:

Answer:

pi * d

Step-by-step explanation:

Multiply 3.14 by the Diameter.

Answer: 0.8

Step-by-step explanation:

i guessed and got it correct

The sample results about 0.8% proportion of the population has a favor social network.

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Answer:

1. is an acute angle

2. is an acute angle

Step-by-step explanation:

Both the angles are less than 90° so the angles are both acute.

So x 2x are the sides using Pythagorean theorem x^2 + (2x)^2= 5x^2

So the side is the square root of 5x^2 so now we have the third side

The sum of the sides should add to 28 so:

X+2x+√5x=28 factor the x

X(3+√5)=28 and we know √5=2.236

So x= 28/5.236= 5.347

To find the lengths of all three sides of the right triangle, set up two equations using the given information and the Pythagorean theorem. Solve these equations to find the values of x and the lengths of the other two sides.

Let x be the length of the shorter side of the right triangle. According to the problem, the longer side is twice as long as the shorter side, so its length is 2x. The perimeter of the triangle is given as 28, so we can set up the equation x + 2x + hypotenuse = 28. Using the Pythagorean theorem, we know that the sum of the squares of the two legs is equal to the square of the hypotenuse, so we can write another equation x^2 + (2x)^2 = hypotenuse^2. Solving these two equations will give us the lengths of all three sides of the triangle.

From the perimeter equation, we have x + 2x + hypotenuse = 28. Simplifying, we get 3x + hypotenuse = 28. Rearranging, we get hypotenuse = 28 - 3x.

Substituting this into the Pythagorean theorem equation, we have x^2 + (2x)^2 = (28 - 3x)^2. Simplifying and solving this equation will give us the value of x, which we can then use to find the lengths of the other two sides of the triangle.

Answer:

21499.4 in³

Step-by-step explanation:

1. Find the area of the face:

a. Triangle: 1/2*b*h = 1/2*30*15 = 225 in²

b. Rectangle: b*h = 22*30 = 660 in²

c. Semi-circle: 1/2*πr² = 1/2*π*(d/2)² = 1/2*3.14*11² = 189.97 in²

d. Total: 225 + 660 + 189.97 = 1074.97 in²

2. Find height: 20 in

3. Find volume: 1074.97*20 = 21499.4 in³

Check the picture below.

so, the composite is really, a triangular prism on top of a rectangular prism with a semi-circle.

now, if we can just get the volume of each individual solid, then we're golden.

for the triangular prism, its volume is simply the triangular face's area times the length, in this case 20.

for the rectangular prism, is the same, the rectangular face's area times the length.

now, for the semicircle is the same, let's recall, the area of a full circle is πr², so the area of half a circle is (πr²)/2.  Notice in the picture, the semi-circle has a radius of 11.

[tex]\bf \stackrel{\textit{area of the triangle}}{\left[\cfrac{1}{2}(30)(15) \right]}(\stackrel{\textit{length}}{20})~~+~~ \stackrel{\textit{rectangle's area}}{(22\cdot 11)}(\stackrel{\textit{length}}{20})~~+ \stackrel{\textit{semi-circle's area}}{\left(\cfrac{\pi 11^2}{2} \right)}(\stackrel{\textit{length}}{20}) \\\\\\ 4500+4840+1210\pi \implies \stackrel{\pi =3.14}{13139.4}[/tex]

Answer:

[tex]\large\boxed{(x+3)^2=x^2+6x+9}[/tex]

Step-by-step explanation:

Use the FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex](x+3)^2=(x+3)(x+3)\\\\=(x)(x)+(x)(3)+(3)(x)+(3)(3)\\\\=x^2+3x+3x+9\qquad\text{combine like terms}\\\\=x^2+(3x+3x)+9\\\\=x^2+6x+9[/tex]

You can use

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](x+3)^2=x^2+2(x)(3)+3^2=x^2+6x+9[/tex]

Answer:

50 miles per hour

Step-by-step explanation:

Here,

Time=  8 hours

Distance=400 miles

The speed is calculated by dividing the distance by time.

So,

Average Speed=Distance/Time

=  400/5

=50 miles per hour

The average speed of the Amtrak train traveling from Los Angeles to San Francisco, which is a distance of 400 miles in 8 hours, is 50 miles per hour.

The subject of this question is Mathematics, specifically involving the concept of speed which is a part of physical science and physics. To find the average speed of the Amtrak train, we need to divide the total distance traveled by the time taken for the journey. The total distance from Los Angeles to San Francisco is given as 400 miles, and the time taken is 8 hours.

To calculate the average speed, use the formula:

Average Speed = Total Distance / Total Time

Substituting the given values:

Average Speed = 400 miles / 8 hours = 50 miles/hour

Therefore, the average speed of the Amtrak train is 50 miles per hour.

Could you show the graph please?

Answer:

On average, A New Leash on Life Animal Clinic treats more dogs per day than No Ruff Stuff Animal Hospital.

I know this cause I just got it right on I-Ready lol

answer is B and it is the answer no questions asked hands down im the smartest person in the world

Answer:

B.

NEXT SLIDE:

A.

then

A, D.

then

A.

that's all i have time for. (im doing the assignment rn, but i have to log out and eat dinner! byeeee!)

Step-by-step explanation:

Good Luck Catching up fellow Edge people!!!

Answer:

The value of y is -5

Step-by-step explanation:

we have

[tex]9x+2y=8[/tex] ------> equation A

[tex]7x+2y=4[/tex] ------> equation B

we know that

If x and y satisfy both equations, then (x,y) is the solution of the system of equations

Using a graphing tool

Remember that

The solution of the systems of equations is the intersection point both graphs

The intersection point is (2,-5)

therefore

The solution of the system of equations is the point (2,-5)

The value of y is -5

To find the value of y in the given system of equations, we can use the method of substitution.

To find the value of y in the system of equations 9x + 2y = 8 and 7x + 2y = 4, we can use the method of substitution. First, we solve one equation for one variable and substitute the expression into the other equation. In this case, we can solve the second equation for y: 7x + 2y = 4, y = (4 - 7x)/2. Now substitute this expression for y in the first equation: 9x + 2((4 - 7x)/2) = 8. Simplify and solve for x. Once we have the value of x, we can substitute it back into the second equation to find y.

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Answer:  $283.94

Step-by-step explanation:

[tex]A=P(1+r)^t\\\\\bullet P=100\\\bullet r=11\% \implies 0.11\\\bullet t=10\\\\\\A=100(1.11)^{10}\\.\ =283.94[/tex]

Answer:

[tex]f^{-1}(x)=\dfrac{e^x}{3},\ x\in(-\infty,\infty),\ y>0[/tex]

Step-by-step explanation:

Consider the function [tex]f(x)=\ln 3x.[/tex] the domain of this function is x>0 and the range of this function is all real numbers. The inverse function has the domain all real numbers and the range y>0.

If

[tex]y=\ln 3x,[/tex]

then

[tex]3x=e^y,\\ \\x=\dfrac{e^{y}}{3}.[/tex]

Change x into y and y into x:

[tex]y=\dfrac{e^x}{3}.[/tex]

Thus, the inverse function is

[tex]f^{-1}(x)=\dfrac{e^x}{3}.[/tex]

ANSWER

[tex]{f}^{ - 1} (x) = \frac{ {e}^{x} }{3} [/tex]

EXPLANATION

The given logarithmic function is

[tex]f(x) = ln(3x) [/tex]

Let

[tex]y = ln(3x) [/tex]

Interchange x and y.

[tex]x = ln(3y) [/tex]

Solve for y.

[tex] {e}^{x} = {e}^{ ln(3y) } [/tex]

[tex] {e}^{x} = 3y[/tex]

Divide both sides by 3.

[tex] \frac{ {e}^{x} }{3} = y[/tex]

Therefore

[tex] {f}^{ - 1} (x) = \frac{ {e}^{x} }{3} [/tex]

Answer:

The solution set represented by the following graph is:

                {x | x∈ R, x < -2}

Step-by-step explanation:

Clearly from the figure we could see that the solution set is to the left of ' -2' and excluding the point '-2' since there is a open circle at -2.

This means that -2 is not included in the set.

Also in interval; form the set of points that belong to the solution set are:

                      (-∞,-2)

in set-builder form it is written as:

                      {x | x∈ R, x < -2}

Answer:

Option A.

Step-by-step explanation:

We need to find the solution set represented by the given graph.

From the given figure it is clear that there is an open circle around -2 and shaded region lie left side of -2.

Open circle around -2 represents that -2 is not included in the solution set.

Shaded area towards left of -2 represents that the solution must be less than -2. It means the sign of inequality is "<".

From the given graph it is clear that value of x lie in the interval (-∞,-2). So, the solution set is

[tex]\text{Solution set}=\{x|x\in R,x<2\}[/tex]

Therefore, the correct option is A.

Answer:

1/2 for or against

Step-by-step explanation:

There is a six sided die so the chance of getting one side is 1/6.

To get the sum for 3 sides, just do 1/6 + 1/6 + 1/6 = 3/6 or 1/2.

a parallel line to that equation will have the same exact slope, so

[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

then we're really looking for the equation of a line whose slope is -3, and runs through (-5,-8)

[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-8})~\hspace{10em} slope = m\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-8)=-3[x-(-5)] \\\\\\ y+8=-3(x+5)\implies y+8=-3x-15\implies y=-3x-23[/tex]

у₁=kx+b; y₂= -3x+5

y₁||y₂⇒ k= -3; y₁= -3x+b

-8 =-3*(-5)+b

-8=15+b

-23=b

y₁= -3x-23

Answer:

About 75% of the time, the mixture of cow manure and mashed bananas IS LIKELY to produce MORE biogas than pure cow manure on THIS local farm.

Step-by-step explanation:

(don't worry I guessed and got it correct)

In his experiment, Vector can report that bananas added to cow manure results in more energy production, as indicated by larger balloon growth. However, "he should mention that other factors may also influence the results".

Since the exact data from Vector's experiment isn't provided, I would still be able to draw a generalized conclusion based on the given situation. Vector produced bio-gas from cow manure and bananas, and the growth of balloons served as an indication of energy production. If the balloons corresponding to the banana-mixture bottles grew larger than the manure-only ones, it would imply that adding bananas creates more energy. Increased biogas production can be observed with larger circumference balloons because more gas fills up the balloon, causing it to grow larger. Thus, the experimenting student can report in Biogas Club that using a banana-enhanced biomass recipe for cow manure can potentially increase biogas production. It is, however, crucial to note that various other factors can influence gas production, and it might be beneficial to continue research and experimentation.

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Answer:

An angle bisector intersects the middle of an angle and basically cuts it in half equally, leaving 2 parts. The relationship includes an angle having to exist in order to have a bisector. A ray starts at a one point, represented usually by a dot and goes off for ever in a direction whereas a line extends infinitely in both directions.

Step-by-step explanation:

The inequality equivalent to -x < 8 is x > -8.

Option D is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

-x < 8

Interchange < with > and divide both sides by a negative sign.

x > -8

Thus,

x > -8 is equivalent to -x < 8.

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Answer:

[tex]x=5+\frac{29}{z}-\frac{y}{z}[/tex]

[tex]y=5z+29-xz[/tex]

Step-by-step explanation:

Given: [tex](4z^2+7z-8)(-z+3)=-4z^3+xz^2+yz-24[/tex]; find x and y.

Let's start with finding x first. Let's distribute the left side of the equation.

[tex]-4z^3+5z^2+29z-24=-4z^3+xz^2+yz-24[/tex]

Let's move everything we can to the left side of the equation. Some things will cancel out.

[tex]5z^2+29z=xz^2+yz[/tex]

Now, let's move the term that includes [tex]x[/tex] to the left side of the equation. Everything else should be moved to the right.

[tex]-xz^2=-5z^2-29z+yz[/tex]

Let's get rid of the negative sign in front of [tex]x[/tex] by dividing both sides by -1.

[tex]xz^2=5z^2+29z-yz[/tex]

To get [tex]x[/tex] completely isolated, divide both sides by [tex]z^2[/tex].

[tex]\frac{xz^2}{z^2}=\frac{5z^2}{z^2}+\frac{29z}{z^2}-\frac{yz}{z^2}[/tex]

Simplify.

[tex]x=5+\frac{29}{z}-\frac{y}{z}[/tex]

Let's solve for y. We will start with the distributed and simplified equation to make it easier.

[tex]5z^2+29z=xz^2+yz[/tex]

Now, let's move the term that includes [tex]y[/tex] to the left side of the equation. Everything else should be moved to the right.

[tex]-yz=-5z^2-29z+xz^2[/tex]

Again, let's get rid of the negative sign in front of the [tex]y[/tex] by dividing both sides by -1.

[tex]yz=5z^2+29z-xz^2[/tex]

To isolate y, divide both sides by z.

[tex]\frac{yz}{z}=\frac{5z^2}{z}+\frac{29z}{z}-\frac{xz^2}{z}[/tex]

Simplify.

[tex]y=5z+29-xz[/tex]

Answer:

x = 5

y = 29

Step-by-step explanation:

Edge Answer

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ To find the median of the numbers, you have to order them:

14, 16, 18, 20, 20, 24

Then, you find the average of the middle two numbers if the amount of numbers is even.

18+20/2

18+20=38

38/2=19

Final answer:

The median of those numbers is 19

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ To find the median, you need to order your numbers first.

14, 16, 18, 20, 20, 24

There is an even amount of numbers, so you find the mean of the middle two numbers.

18+20=38/2=19

Median=19

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

Answer:

You need to multiply the polynomials. Please see attached picture for answer.

= 4x ^4 + -10x^3 + 15x^2 + 7x +5

Step-by-step explanation:

You need to multiply each term step by step

(4x ^2+2x+1)*(x^2) + (4x ^2+2x+1)*(-3x) + (4x ^2+2x+1)*5

= (4x ^4 + 2x^3 +x^2) + (-12x ^3 - 6x^2 -3x) + (20x ^2+10x+5)

= 4x ^4 + -10x^3 + 15x^2 + 7x +5