Solve the questions below:
2(3x + 5) - 3
6 / 2(1 + 2) **/ means to divide**

This function is not one-to-one because different ages can have the same height.

This function f(t) is not one-to-one because different ages can have the same height. For example, two people at age 20 could have the same height, even though one is 20 years old and the other is not. Additionally, two people of different ages can have the same height, such as a 5 year old and a 25 year old with the same height. One-to-one functions require that for every input there is only one output, which is not the case for this function. This is because height is not necessarily determined solely by age, and can be influenced by genetics and other environmental factors. Therefore, for any given age, there could be multiple possible heights, and this function does not satisfy the definition of a one-to-one function.

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Answer:

6

Step-by-step explanation:

Here, we want to check if these lines are perpendicular, parallel or neither

Firstly, we need to understand the general form of the equation of a straight line

The general equation is;

where m is the slope of the line and b is the y-intercept

While the second equation is in the general form already, the first equation is not in the general form

Thus, what we have to do is to write it in the general form

Mathematically, we can have that as follows;

Answer:

the green one for sure..

Step-by-step explanation:

The number of sides of the polygon, is 5

The perimeter of an object is the outer boundary length, is calculated by adding all its sides.

Given that, the perimeter of a different regular polygon is 75b - 20 the length of one of its sides is 15b-4 we need to find the number of sides of the polygon,

Let the number of sides of the polygon be x,

Therefore,

(15b-4)x = 75b-20

x = 75b-20 / 15b-4

x = 5(15b-4) / 15b-4

x = 5

Hence, the number of sides of the polygon, is 5

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The completed table of values for the equation 4x + 2y = 64 is provided .

To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.

Table of Values:

x y

0 32

4 28

8 24

12 20

16 16

20 12

24 8

28 4

32 0

To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)

By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)

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The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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Answer:

=30−11√1

hope it helped!

Answer:

option 3

Step-by-step explanation:

\(\frac{80}{5}=16\)

Answer:

number 3

is the correct one out of the 4

The correlation coefficient for this set of five students is approximately 0.95.

First we can use the formula:

r = [nΣ(xy) - ΣxΣy] / [√{nΣx^2 - (Σx)^2} √{nΣy^2 - (Σy)^2}]

Where

Using the values given in the table, we can calculate the necessary sums and products:

n = 5

Σx = 173 + 172 + 175 + 176 + 177 = 873

Σy = 62 + 65 + 64 + 66 + 65 = 322

Σx^2 = 173^2 + 172^2 + 175^2 + 176^2 + 177^2 = 150367

Σy^2 = 62^2 + 65^2 + 64^2 + 66^2 + 65^2 = 20410

Σ(xy) = (172)(62) + (173)(65) + (175)(64) + (176)(66) + (177)(65) = 56209

Plugging these values into the formula for r, we get:

r = [5(56209) - (873)(322)] / [√{5(150367) - (873)^2} √{5(20410) - (322)^2}]

Simplifying the numerator and denominator:

r = [281045 - 280506] / [√{5(150367) - (873)^2} √{5(20410) - (322)^2}]

r = 0.95 (rounded to the hundredths place)

Therefore, the correlation coefficient for this set of five students is approximately 0.95.

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Answer:

Step-by-step explanation:

It nearly confused me, but I got the entire thing in my brain.

Given equation:

Solve:

Answer is 95.2.

Answer:

Step-by-step explanation:

Answer:

60 cents for 1 pound

Step-by-step explanation:

2 pounds = $1.20

1 pound =  60 cents

Answer:

\(x = 16\)

Step-by-step explanation:

Given

\(log_{16}(x) + log_4(x) + log_2(x) = 7\)

Required

Solve for x

\(log_{16}(x) + log_4(x) + log_2(x) = 7\)

Change base of 16 and base of 4 to base 2

\(\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7\)

Express 16 and 4 as 2^4 and 2^2 respectively

\(\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7\)

The above can be rewritten as:

\(\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7\)

\(log_22 = 1\)

So, we have:

\(\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7\)

\(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7\)

Multiply through by 4

\(4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4\)

\(log_2(x) + 2}log_2(x) + 4log_2(x) = 28\)

\(7log_2(x) = 28\)

Divide through by 7

\(\frac{7log_2(x)}{7} = \frac{28}{7}\)

\(log_2(x) = 4\)

Apply the following law of logarithm:

If \(log_ab = c\) Then \(b = a^c\)

So, we have:

\(x = 2^4\)

\(x = 16\)

Work Shown:

(7 laps)/(2.5 minutes) = (x laps)/(20 minutes)

7/(2.5) = x/20

7*20 = 2.5x

140 = 2.5x

2.5x = 140

x = 140/(2.5)

x = 56

Answer:

y = 3x

Step-by-step explanation:
Slope = change in y / change in x

x, y
Given points: (2,6) and (1,3)

2 - 1 = 1
6 - 3 = 3
3/1 = 3
y = mx
y = 3x

Answer:

12

Step-by-step explanation:

πr²h=πr²h

π(4.5)²*10=π(x/2)²4.9

The formula of the volume of a cylinder is known as follows

\(V=\pi r^{2} h\)

Where,

\(\pi\) is 3.14

\(r\) is the radius of the top part of the cylinder

\(h\) is the height

We can subsitute to our formula knowing that \(r=5; h=5\),

\(V=\pi (5)^2 (5)\\V= \pi (25) (5)\\V= 125 \pi\\V = 392.7\)

Answer:

x = 36

Step-by-step explanation:

x/3 - 14 = -2

x - 42 = -6

x = -6 + 42

x = 36

Hope this helps! :)

Answer:

x= 36

Step-by-step explanation:

X/3 - 14 = -2

Add 14 to each side

X/3 - 14+14 = -2+14

x/3 = 12

Multiply each side by 3

x/3 * 3 = 12*3

x = 36

Differentiating the expression \(\frac{d}{dx} [(4x-7)^4(7x+8)^5 ]\) with respect to x will be \(16(4x-7)^3(7x+8)^5 + 35(4x-7)^4(7x+8)^4\)

We are given with

\(\frac{d}{dx} [(4x-7)^4(7x+8)^5 ]\)

Here we will be using the chain rule. According to the chain rule, we will first have to solve the parentheses as a variable. Then we will have to solve the expression within the parenthesis

First, we will differentiate \((4x-7)^4\) keeping \((7x+8)^5\) constant. Here we will first assume \((4x-7)\) as one variable and differentiate using the formula d/dx[x^n] then we will differentiate 4x - 7 to get just 4. They would be multiplied by one another

Hence we get

\(4 X4(4x-7)^3(7x+8)^5\)

\(16(4x-7)^3(7x+8)^5\)

Now, we will keep \((4x-7)^4\) constant and differentiate \((7x+8)^5\) and adding it up we get

\(16(4x-7)^3(7x+8)^5 + 5X7(4x-7)^4(7x+8)^4\)

\(= 16(4x-7)^3(7x+8)^5 + 35(4x-7)^4(7x+8)^4\)

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Complete Question

\(\frac{d}{dx} [(4x-7)^4(7x+8)^5 ]\)

Answer:

2 dollar

Step-by-step explanation:

The error that was made is found in; C: Step 3 and it can be corrected by Setting the width greater than.

When trying to construct a line tangent to circle O at a point say P, the steps are as follows;

Step 1; Draw a line from the center through P and beyond the circle.

Step 2; With the compass on P, draw an arc each side of P, creating Q and R.

Step 3; With the compass on Q, set its width to a setting greater than QP.

Step 4; Make an arc in a random location using Q as center with distance less than QR but greater than QP.

Step 5; Without changing the compass width, repeat step 4 for point R, creating point S.

Step 6; Draw a line through P and S.

Step 7; PS is the line tangent to circle O at point P

Looking at the steps and comparing to the question, it is clear that the error was in step 3 where they made the compass on Q equal to QP rather than greater than QP.

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Answer:

C: Step 3 and it can be corrected by Setting the width greater than.

Step-by-step explanation:

in case you have not noticed the man who posted on top did say the answer at first then explained why, he desierves brainliest, and who ever didint see his post and made that coment, well, hes kinda blind

Answer:

t = 1.2, -1.2

Answer:

Step-by-step explanation:

lets add 12 for a start

y+12=2/5x

x everything by 5

5y+60=2x

divide by 2

2.5y+30=x

hope it helps

Answer:

x = 30

Step-by-step explanation:

\(\frac{x}{6} +1=6\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\frac{x}{6}+1-1=6-1\\\\Simplify\\\frac{x}{6}=5\\\\\mathrm{Multiply\:both\:sides\:by\:}6\\\frac{6x}{6}=5\times\:6\\\\Simplify\\x=30\)

The relation between the probability of its complement is that their sum is 1.

Complement in probability theory is an essential concept that helps us understand the likelihood of an event not occurring. It is a mathematical term that refers to the opposite or negation of an event.

Complement refers to the probability of an event not occurring, given the probability of it occurring. It is often denoted as the complement of an event A and is represented by A’.

The complement of an event A is defined as the set of all outcomes in the sample space that are not in A.

The probability of the complement of A is equal to the probability of all the outcomes in the sample space that are not in A.

The most important properties of the complement of an event is that the probability of an event and its complement always add up to 1. This is known as the law of complementary probability, and is expressed as:

P(A) + P(A’) = 1

This means that if we know the probability of an event occurring, we can easily calculate the probability of its complement by subtracting the probability of the event from 1.

For example, if the probability of event A is 0.7, then the probability of its complement, A’, is 1 – 0.7 = 0.3.

Hence the relation between the probability of its complement is that their sum is 1.

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