Who is the founder of macdonald

9514 1404 393

Explanation:

A. The given equation will have a solution when the value of x makes the left-side expression equal to the right-side expression.

The value of the left-side expression for a given value of x is the y-value of y=4^x. The value of the right-side expression for a given value of x is the y-value of y=2^(x-1). The left-side expression will be equal to the right-side expression for a given value of x when the graph of y=4^x and the graph of y=2^(x-1) have the same y-value. That is, the graphs will be of the same point for that x-value. That is what we mean when we say the curves will intersect at that point.

The x-coordinate of the point of intersection is the value that makes the expressions equal, hence it is the solution to the equation.

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B. The tables are included in the first attachment. We have used f(x) to represent the left-side expression, and g(x) to represent the right-side expression.

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C. As described in Part A, the graphs will cross at the solution point. Hence the equation can be solved graphically by graphing the left-side expression and the right-side expression and seeing where the graphs cross. (That is at the point (-1, 0.25) on the attached graph.)

Alternate graphical method

The solution can also be found graphically by graphing the difference of the expressions: y = 4^x -2^(x-1). This difference will be zero at the value of x that makes the two expressions equal. That is, the x-intercept of the graph of this difference will be the solution value. The second attachment shows this sort of graphical solution. (It works nicely because many graphing calculators will display the value of the x-intercept.)

Answer:

220

Step-by-step explanation: a p e x

There are 220 ways to choose the paintings.

"Combination  determines the number of possible arrangements in a collection of items where the order of the selection does not matter."

[tex]^{n}C_r=\frac{n!}{r!(n-r)!}[/tex]

For given example,

There are 12 paintings at an art show.

⇒ n = 12

Three of them are chosen randomly to display in the gallery window.

⇒ r = 3

So, using the formula for combination, the number of possible ways to choose the paintings would be,

[tex]\Rightarrow~ ^{n}C_r=\frac{n!}{r!(n-r)!}\\\\\Rightarrow~ ^{12}C_3=\frac{12!}{3!(12-3)!}\\\\\Rightarrow~ ^{12}C_3=\frac{12!}{3!\times 9!}\\\\\Rightarrow~^{12}C_3=220[/tex]

Therefore, there are 220 ways to choose the paintings.

Learn more about combination here:

https://brainly.com/question/13387529

#SPJ2

Answer:

modal is 11. it's the correct answer

Answer:

180=3x+7x+10

simplify

180=10x+10

subtract 10 from both sides

170=10x

divide both sides by 10

x=17

Answer:

maybe it is 3600 m not sure though

Answer:

1) Z = -1.8592

2) t = 1.7139

3) p = 0.0062

Step-by-step explanation:

1) Area: (93.7+100)/2 = 193.7/2 = 96.85

Z = invNorm(0.9685,0,1) = 1.8592, but since the test is one-tailed at the lower tail, Z is actually -1.8592

2) Area: (90+100)/2 = 190/2= 95 where df=n-1=24-1=23

t = invT(0.95,23) = 1.7139

3) Since the population standard deviation is known, our test statistic is z=-2.5, making the p-value for the test p=normalcdf(-1e99,-2.5,0,1) = 0.0062

Don't worry I'm sure there'll be great people that would love to be friends with her!, you can also try to call everyday after she finishes her classes^^

Step-by-step explanation:

Advice;

Advice for you; ( I know it wasn't asked of )

Alright, hope this was helpful! Need a little more insight? Feel free to ask.

Answer: $2184

Step-by-step explanation:

(6800)(0.028)(12) = 2184

Answer:

The given numerical value  is a Parameter.

Step-by-step explanation:

Given - For a certain movie 64.3% of the 112 members of the audience were females.

To find - Determine whether the underlined numerical value is a parameter or a statistic.

Proof -

Given that, 64.3% of the 112 members of the audience were females.

Now,

64.3% of  112 = [tex]\frac{64.3}{100}*112[/tex] = 72.016

Since it is not a perfect number

And Human can not be in fraction

So,

The given numerical value  is a Parameter.

Answer:

x = 35

y = 95

Step-by-step explanation:

(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.

(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.

Answer:

x = 85, y = 45

Step-by-step explanation:

solving for x:

180 - 95 = 85

solving for y:

85 + 50 = 135

180 - 135 = 45

Good luck on your schoolwork

Answer:

x = 1.19258 and x = −4.19258

Step-by-step explanation:

The given equation is :

[tex]x^2+3x-5=0[/tex]

Keep x terms on the left and move  the constant to the right side  by adding it on both sides.

[tex]x^2+3x=5[/tex]

Take half of the x term and square it.

[tex](3\times \dfrac{1}{2})^2=\dfrac{9}{4}[/tex]

then add the result to both sides

[tex]x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}[/tex]

So,

x = 1.19258 and x = −4.19258

Hence, this is the required solution.

Answer:

The base of the ladder is 2.58 m.

Step-by-step explanation:

Given that,

The angle of elevation for a ladder from the ground is 75°.

The length of a ladder, H = 10 foot

We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,

[tex]\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m[/tex]

So, the base of the ladder is 2.58 m.

Answer:

Is 4 inches or B

Step-by-step explanation:

I can't really break it down but I did get it right on Edge 2021.

Answer:

Your answer would be x = 1/2

Step-by-step explanation:

1/x = 2

You would divide x on both sides...then they would cancel each other out.

But now you're left with...

1 = x•2

So, re-order the terms so constants are on the left

1 = 2x

Divide 2 on both sides...

Now you're left with

1/2=x or more practically it would be x = 1/2

Hope this helps!

Answer:

Question 1: The amount of students that Yolanda kept track of doesn't add up to her sample space.

Question 2: The sample space is 237. I know this because it said in the question she was asking all of the students at their Middle School which happened to be 237. A sample space is the group that you are taking information from. They are taking information from 237 students.

Answer:

30 m

Step-by-step explanation:

You simply add the lengths of all the sides. 3 m is not needed for this.

Answer:

10+5+4+6+5 = 30m

Step-by-step explanation:

Answer:

The correct answer is 6

Step-by-step explanation:

42 = 7r

R = 42/7 = 6

Answer:

r=6

Step-by-step explanation:

Divide both sides of the equation by the same term

simplify

Answer:

180degreesStep-by-step explanation:

Given the complex value

z² = -81i

z = (-81i)^1/2

Get the argument of -81i

theta = arctan(y/x)

theta = arctan(-81/0)

theta = -90degrees

theta = -π/2

Since tan is negative in the secind quadrant

theta =  π - π/2

theta = π/2

According to demoivres theorem

theta = 1/2 * π/2

theta = π

theta = 180degrees

Answer:

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

Step-by-step explanation:

Margin of error

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Standard deviation of 1.3

This means that [tex]\sigma = 1.3[/tex]

She surveys 124 families

This means that [tex]n = 124[/tex]

Margin of error and meaning:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 2.58\frac{1.3}{\sqrt{124}}[/tex]

[tex]M = 0.3012[/tex]

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

Answer:

D

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

1/2 multiplied by 1/3

Answer:

are those synthetic division?