Solve g(x) = 10, if g(x) = 2/x+1​

Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

John William is entitled to purchase 15,000 shares before the offering is made to the public.

a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.

John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.

To convert this proportion to a percentage, we multiply by 100:

Percentage of the total vote = 0.3 * 100 = 30%

Thus, John William will control 30% of the total vote at the.         shareholder meeting.    

b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.

John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.

If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:

Entitlement = (3/10) * 50,000 = 15,000 shares.

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Answer:49

Step-by-step explanation:

Ration is equivalent. So 21 is a multiplication of 7x3. Soto get the missing number you would also need to multiply 7x7 to keep the ratio equivalent

Answer:

i need help to yall help usssssssssssssssssssss pls

Step-by-step explanation:

Answer:

306/x = 72/100

72x= 306 x 100

72x = 30600

X = 425

Step-by-step explanation:

The value of 96.1% of 146 is 140.31

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the value of 96.1% of 146.

Convert 96.1% to the decimal value by dividing with 100

96.1/100=0.961

Now multiply 0.961 with the 146 to find the value.

0.961×146

140.306

Hence, the value of 96.1% of 146 is 140.31

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The composite function G(F(x)) = x² + 4 is formed with these following original functions:

D. F(x) = x² and G(x) = x + 4.

The composite function of f(x) and g(x) is given as follows:

\((f \circ g)(x) = f(g(x))\)

For g of f(x), we have that:

\((g \circ f)(x) = g(f(x))\)

For this problem, we have that:

G(F(x)) = x² + 4.

Which is possible with option D, as:

\(G(F(x)) = G(x^2) = x^2 + 4\)

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Answer:

A

Step-by-step explanation:

6x3x3 equals 54 which is also the total surface area of the rectangle.

Answer:

Answer choice = A. 6 x 3 x 3

Answer

x = 1

Explanation:

Given the following equation

Therefore, x = 1

Answer:

A variable in research simply refers to a person, place, thing, or phenomenon that you are trying to measure in some way. The best way to understand the difference between a dependent and independent variable is that the meaning of each is implied by what the words tell us about the variable you are using.

Step-by-step explanation:

Step-by-step explanation:

If Dianna finishes her homework then she will go to the movie

Answer: wait one sec

Step-by-step explanation:

Answer:

(3,5.5)

Step-by-step explanation:

(x₁+x₂)   (y₁+y₂)

--------    --------

   2           2

5+1         7+4

  6           11

------        ------

 2             2

   (3, 5.5)

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

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:

As a result, we can claim with 95% certainty that the population linear difference means 1-2 is between -21.48 and -2.52 units of small appliances.

In algebra, a linear equation has the form y=mx+b. The slope is denoted by B, while the y-intercept is denoted by m. Because y and x are variables, the preceding sentence is sometimes referred to as a "linear equation with two variables." Bivariate linear equations are two-variable linear equations. Linear equations may be found in various places: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the form y=mx+b, where m represents the slope and b represents the y-intercept, it is said to be linear. A linear equation is one that contains the formula y=mx+b, with m signifying the slope and b denoting the y-intercept.

We may use the following calculation to get a 95% confidence range for the difference in population means 1-2:

\((x1 - x2) t(\alpha/2, df) * \sqrt(s12/n1 + s22/n2)\)

where:

Initially, we must compute the degrees of freedom:

\(df = ((s12/n1) + s22/n2)2/((s12/n1) + (s22/n2)2/(n2-1))\\df = ((13^2/36 + 16^2/49)^2) / ((13^2/36)^2/35 + (16^2/49)^2/48) = 67.94\\(78 - 90) 2.00 * \sqrt(132/36 + 162/49)\\CI = -12 +2.00 * 4.742\\CI = -12+ 9.484\\CI = (-21.48, -2.52) (-21.48, -2.52)\)

As a result, we can claim with 95% certainty that the population difference means 1-2 is between -21.48 and -2.52 units of small appliances.

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30 is the fast surface area of the balloon expanding when the radius of the balloon is 4 inches

Now, According to the question:

A spherical balloon is expanding at the rate of 60 pie cubic inches /sec.

The radius of the balloon is 4 inches.

Now, Solving the problem:

By using formula:

The formula for the volume of a sphere is V = 4/3 π r³,

where V = volume and r = radius.

Volume = \(\frac{4}{3}\pi r^3\)

We have that:

Differentiate the formula:

\(\frac{dV}{dt}=4\pi r^2.\frac{dr}{dt}= 60\)

=> \(\frac{dr}{dt}=\frac{60}{4\pi r^2}\)

We know that \(A=4\pi r^2,\) and so we also have

\(\frac{dA}{dt}=8\pi r.\frac{dr}{dt}\)

Plug in what we found for dr/dt and plug in r=4 to get:

\(\frac{dA}{dt}=8\pi r.\frac{60}{4\pi r^2}\)

\(\frac{dA}{dt}=\frac{120}{r}=\frac{120}{4}\)

\(\frac{dA}{dt}=30\)

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Are you more likely to see a twelve-pack from the local brewery or a twelve-pack from the large chain with an average fill of 327.9 ml?

Local brewery.

a. At the local brewery the middle 95% of six-packs will have an average fill between ml 326.828 and 329.572 ml

b. At the large chain brewery, the middle 95% of six-packs will have an average fill between 326.824 ml and 329.176 ml.

X ζ N (328.2, 0.7^2)

YζN (328, 0.6^2)

P (X> 327.9) = 0.6659

P (Y> 327.9) = 0.5662

Since, P (X> 327.9) > P (Y> 327.9)

We are more likely to see 12-pack from the local brewery.

a. To find a, b such that P(a<x<b) = 0.95

a= 326.828

b= 329.572

b. To find c, d such that P(c<Y<d) = 0.95

c= 326.824

d= 329.176

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Answer:

14

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

If the fish population in a local lake increases at a rate proportional to the population each moment, this can be expressed as;

P = k/t (the scenario is an inverse proportionality because as the time is reducing, the population is increasing by the same factor)

If there are 1000 fish 5 years ago and there are 2000 fish 4 years ago

Yearly percentage increase will be;

2000-1000/1000 × 100%

1000/1000×100%

= 100%

This means that the population increases by 100% on a yearly basis (by a factor of 1000)

The population 3 years ago will be population

P = 2000+1000

P = 3000

The population 2 years ago will be population

P = 3000+1000

P = 4000

The population 1 year ago will be population

P = 4000+1000

P = 5000

The population now will be population

P = 5000+1000

P = 6000 populations

The attached graph represents the relationship between time and price of the product

The given parameters are:

The above means that the graph of the relationship between time and price of the product is a piecewise function and one of its function is y = 2.50

See attachment for a sketch of the graph that represents the relationship

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Answer:

The answer is in the pictures

Step-by-step explanation:

O 7(2x) and 9x (FALSE)

7(2x) = 14x

______________

O 4(2x - 6) and 8x - 24 (TRUE)

4(2x -6) = 4*2 x -6*4

= 8x - 25

________________

O 3x + 5x and 15x (FALSE)

3x + 5x = (3 +5) x = 8x

_______________________

O x + x + x + x and x to the fourth power​ (FALSE)

x+ x + x + x + x = (1 + 1 +1 +1 + 1)x = 5 x

______________________

Answer

The second choice

O 4(2x - 6) and 8x - 24

Answer:

Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,

                             b / sin B = a / sin A

Substituting,

                             b / sin 85.3° = 44 / sin 48°

The value of b from the equation is approximately equal to 59.01.

Answer:

35

Step-by-step explanation:

is correct for ape x

Answer:

D

Step-by-step explanation:

Standard form is in number form.

For example, the standard form of 12+6 is 18

We need to solve 90,000 + 700,000 + 40,000,000 + 100,000,000 to get the standard form.

\(90000 + 700000 + 40000000 + 100000000 = 140790000\)

The standard form is 140,790,000. So the answer is D.

Hope this helps :)

Have a great day!

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

Answer:

Step-by-step explanation:

Point G has coordinates (4, -2).

After reflection across the x-axis it s coordinates will change as per rule:

Applied to point G:

After dilation by a scale factor of 2 the coordinates will change as per rule:

Applied to point G:

Answer:

the side length is 3.

Step-by-step explanation:

you would do 11/3 2/3

and you would get 3

The area of a shape is the amount of space it occupies

The width of the rectangle is 3 meters

The length of the rectangle is given as:

\(Length = 3\frac 23\)

The area of the rectangle is given as:

Area = 11m^2

The area of the rectangle is calculated using:

\(Area = Length * Width\)

So, we have:

\(11 = 3\frac 23* Width\)

Express mixed number, as an improper fraction

\(11 = \frac {11}3* Width\)

Multiply both sides by 3

\(33 = 11* Width\)

Divide both sides by 11

\(3 = Width\)

Rewrite as:

\(Width = 3\)

Hence, the width of the rectangle is 3 meters

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Answer:

Step-by-step explanation:

Albeit cosine is undefined at , this discontinuity is evitable by canceling terms. The expression is equivalent to , which is continuous for all . According to this result, the student did not make a mistake. Answer was correct.

Answer:

See below

Step-by-step explanation:

Since \(cos(\frac{\pi}{2})=0\), the denominator will be 0, and the result would be indeterminate.

Do not read on if you do not understand Calculus

However, notice that \(\lim_{x \to \frac{\pi}{2}} \frac{sin(2x)}{cos(x)}=2\) by L'Hopital's Rule:

\(\lim_{x \to \frac{\pi}{2}} \frac{sin(2x)}{cos(x)}\\\\\frac{2cos(2x)}{-sin(x)}\\ \\\frac{2cos(2(\frac{\pi}{2}))}{-sin(\frac{\pi}{2} )}\\\\\frac{2cos(\pi)}{-1}\\ \\\frac{-2}{-1}\\ \\2\)

Answer:

Step-by-step explanation:

5.) here no. of people represent frequencies, so modal group (the group with the highest frequency) is 0.25-0.50.

Estimated Mode = L + (( fm − fm-1) / ( (fm − fm-1) + (fm − fm+1) ) ) × w

where,

L is the lower class boundary of the modal group = 0.25

fm-1 is the frequency of the group before the modal group = 38

fm is the frequency of the modal group = 67

fm+1 is the frequency of the group after the modal group = 50

w is the group width = 0.25

mode= 0.25 + ((67-38)/((67-38)+(67-50)))* 0.25

= 0.25 + (29/ (29+17))*0.25

= 0.25 + 0.63*0.25

= 0.41

6) mean= total(fx) / total(f)

= 166.25/250

= 0.665

7) standard deviation = sqaure root (( total(fx2) - (total(f)* mean2)) / (total(f)-1))

= sqaure root (( 149.906 - 250* 0.6652)/ 249 )

= square root ( (149.906 - 110.556) /249)

= sqaure root (0.158)

= 0.397

8) The median is the middle value, which in our case is the 125 (250/2) , which is in the 0.5 - 0.75 group.

Estimated Median = L + ( ((n/2) − B)/G) × w

where:

L is the lower class boundary of the group containing the median = 0.5

n is the total number of values = 250

B is the cumulative frequency of the groups before the median group = 105

G is the frequency of the median group = 50

w is the group width = 0.25

median = 0.5 + (((250/2)-105)/50)*0.25

= 0.5 + ((125-105)/50)*0.25

= 0.5 + (20/50)*0.25

= 0.6