Need help On this one please​

Answer:

y = -3/4x + 1

Step-by-step explanation:

Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equation of the line is y = (3/2)x + 1.

To find the y-intercept of the line, substitute x = 0 into the given equation,

y = (3/2)(0) + 1

y = 1

Note that the y-intercept of the graph of the line is also 1.

The graph of the line passes through points (2,4).

To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:

4 = (3/2)(2) + 1

4 =4

The equation is true.

Hence, it can be said that the given equation represents the graph of the line.

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Answer:

exponential function

\(f(x) = 12 \cdot 1.023^t\)

Step-by-step explanation:

General exponential function \(f(x)=a \cdot b^x\)

where a is the initial value, b is the rate of increase/decrease (growth/decay factor), and t is time

Given:

\(f(x) = 12 \cdot 1.023^t\)

The height of the tree based on the information is 229.23.

Based on the information given,

tan 50 = h/x + 60

h = (x + 60)tan 50°

x tan 60 = (x + 60)tan 50°

x(tan 60° - ta 50°) = 60 ta 60

x = 132.34

Therefore, the height will be:

= x tan60°

= 132.34 × tan 60

= 229.23

Therefore, the height is 229.23.

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Using Altitude/leg Theorem. The solution for x are:

No.3: x = 12 units

No. 4: x = 8√3 units

The altitude theorem states that the altitude of the right triangle can be found by taking the square root of the product of the two segments of the hypotenuse that are created when the altitude is drawn.

In mathematical notation, if we have a right triangle with legs a and b, and hypotenuse c, and if h is the length of the altitude drawn from the right angle to the hypotenuse, then we have:

h² = ab

or

h = √(ab)

No. 3

Using the altitude theorem:

x = √(16*9)

x = 12 units

The Leg Rule states that the length of each leg of a right triangle can be found by taking the square root of the product of the hypotenuse and the adjacent segment on that leg.

In mathematical notation, if we have a right triangle with legs a and b, and hypotenuse c, then we have:

a² = bc or a = √(bc) and

b² = ac or b = √(ac)

No. 4

hypotenuse = 12 + 4 = 16

x = √(16 * 12)

x = 8√3 units

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The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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Answer:

the answer is 9

Step-by-step explanation:

This can be represented by the exponential function:

\(P=378(2)^\frac{t}{36}\)

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let P represent the population of the bacteria after t minutes.

Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:

\(P=378(2)^\frac{t}{36}\)

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Explanation

We will represent the given parameters in the image below.

Using similar triangles, we can find the height of the flagpole.

We will then cross multiply and solve for x.

Answer: 10.88 meters

Answer:

should have divided it directly ........ maybe or it's just messy........ maybe

Step-by-step explanation:

..........

...........

8x + 16 = 36

8x = 36 - 16

8x = 20

x = 20 / 8

x = 2.5

Answer:000000 mdmdjdjc

Step-by-step explanation:ok

Two urns contains different numbers of different colour balls. Two balls are randomly chosen from both of urns. The probability that two red balls are choosen is 1/3..

We have given that

First Urn, u₁ contains 3 Red( labelled r₁,r₂,r₃) ; 1 blue ball ,(labelled b₁).

Total number of balls in urn, u₁ = 4 balls

Second Urn, u₂ contains 2 red (labelled r₄,r₅) and 2 blue (labelled b₂, b₃) .

Total number of balls in urn, u₂ = 4 balls

Assume , A = first urn , u₁ is selected

Assume, B = Second urn u₂ is selected

Assume , R = selected balls are red

Case 1 : Urn u₁ is choose and two balls without replacement are withdraw.

Probability to choose the first urn, P(A) = 1/2

Probability that the two withdraw without replacement balls are red in colour, P(A/R)

= 3/4 × 2/3 = 1/2

Case 2 : Urn u₂ is choose and two balls without replacement are withdraw.

Probability to choose the second urn, P(B) = 1/2

Probability that the two without replacement withdraw balls are red in colour, P(B/R)

= 2/4 × 1/3 = 1/6

The required probability= P(A) P(A/R) + P(B)P(B/R) = 1/2(1/2) + 1/2(1/6) = 1/4 + 1/12

= 4/12 = 1/3

Hence, the required probability is 1/3..

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Complete question:

One urn u1, contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn u2 contains two red balls (R4 and R5) and two blue balls (B2 and B3). An experiment is performed in which one of the two urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement. Probability that two red balls are choosen.

The solution of the system of equations is (8, 11).

We know that one of the equations of the system is:

y = x + 3

And the other line passes through the points (3, 1) and (4, 3), then the slope of that line is:

a = (3 - 1)/(4 - 3) = 2

So the line is something like:

y = 2*x + b

To find the value of b, the y-intercept, we can replace the values of one of the points.

I will use (3, 1)

1 = 2*3 + b

1 = 6 + b

1 - 6 = b

-5 = b

So the other line is y = 2x - 5

Then the system of equations is:

y = x + 3

y = 2x - 5

Now we can solve the system:

x + 3 =2x - 5

3 + 5 = 2x -x

8  =x

The x-value of the solution is 8, then the only option that can be correct is.

(8, 11)

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The vector (3, 8, 1) provides the system's solution.

As a result, the system's vector solution is (3, 8, 1).

A sort of data structure used in computer programming is the vector. It is a collection of data objects that can be any type, such as strings, numbers, or even other vectors. The storage and manipulation of collections of data elements, such as a list of numbers, words, or other data elements, is done using vector data structures. Sorting, searching, and data manipulation can all be done with vector data structures.

The matrix equation Axequalsb's augmented matrix for the linear system is as follows:

\(\left[\begin{array}{ccc}1&-2&4\\7&-4&3\\-6&2&5\\-3&16&-29\end{array}\right]\)

Part - 2:

Step 1: Write the system's solution as a vector after solving it.

We must first reduce the augmented matrix to its reduced row-echelon form in order to solve this system.

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\-5&2&0\\-3&8&1\end{array}\right]\)

Step 2: We can now quickly find solutions for the unknowns.

\(x_1\) equals

3

\(x_2\) equals

8

\(x_3\) equals

1

Step 3:

The vector (3, 8, 1) provides the system's solution.

As a result, the system's vector solution is (3, 8, 1).

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Standard Deviation for given set of data is 0.25634797778466.

What is standard deviation?

Given that,

Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1

Count, N: 8

Sum, submission x: 97.6

Mean, x: 12.2

Variance, s2:  0.065714285714286

s^2 = Σ(xi - x)^2/N - 1

= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1

= 0.46/7

=  0.065714285714286

s =  √0.065714285714286

=  0.25634797778466

Standard Deviation for given set of data is 0.25634797778466.

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Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

y = 2x² + 5x - 7

By comparing this equation with y = ax² + bx + c

a = 2, b = 5 and c = -7

Solution of the polynomial (2x² + 5x - 7) can be determined by the quadratic formula,

\(x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)

Substitute the values of a, b and c.

\(x=\frac{-5\pm \sqrt{5^2-4(2)(-7)}}{2(2)}\)

   \(=\frac{-5\pm \sqrt{25+56} }{4}\)

Therefore, Option B will be answer.

Answer:

65.5%

Step-by-step explanation:

Arrival rate, λ = average number of customers per hour = 38

Servive rate, μ = number of customers attended to per hour = 58

Utilization factor, ρ = λ / μ

ρ = 38 / 58

ρ = 0.6551724

Utilization rate (%) = 0.6551724 * 100% = 65.5%

Answer: It is not possible to convert 3 c to mL without a conversion factor. There are several different units of measurement for volume, including cubic centimeters (cc), milliliters (mL), and cubic meters (m^3). To convert from one unit to another, you need to know the conversion factor.

The conversion factor between cubic centimeters (cc) and milliliters (mL) is 1:1, meaning they are equivalent units of measurement. So, 3 cc is equal to 3 mL.

Step-by-step explanation:

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer: slope is 3, y-intercept is 2

Step-by-step explanation:

The slope of a line is the ratio at which the y value changes with respect to the x value. Since the entire line is straight, the slope at every single point along the line is the exact same. This means that we can find the slope at any point along the line and it'll represent the slope for the entire line.

When x = 0, the y = 2. Therefore we have the point, (0, 2). When x = 1, the y value is y = 5. Therefore, we have another point, (1, 5). The difference between the y values is:

\(5-2=3\)

The difference between the x values is:

\(1-0=1\)

Therefore, their ratio is:

\(3/1=3\)

The y-intercept is the y value at which the function intercepts the y-axis. That would be when y = 2

Answer:

11

Step-by-step explanation:

x*2 + 5

Subtitute

3*2 + 5

6 + 5

11

Answer:

11

Step-by-step explanation:

x is 3

2x+5

2(3)+5

6+5

11

Answer:

7.29 x 10^-6

Step-by-step explanation:

the number must be between 1 and 9

then the 0 are 6

We put minus because we go to the left

7.29 x 10^ -6

Answer: Technically its π (pie) 4

Step-by-step explanation:

If tan (x)=1 , then sin x = cos x . We know this is true for x=π4 as a base case. p = nπ , where n is an integer. The first positive value x0 for which tanx=1 is, as stated before, π4 . yw.

The radius of the cylinder is 7. 9 in

First, we need to know the formula for volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

Such that the parameters of the formula are expressed as;

From the information given, we have that;

Substitute the values

196 = 3.14 × 1 × r²

Divide both sides by the values

r² = 62. 42

Find the square root of both sides

r = 7. 9 in

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Answer:

The numbers are 6 and 7.

Step-by-step explanation:

4² = 16

5² = 25

6² = 36

7² = 49

√36 = 6

√42 = ?

√49 = 7

The numbers are 6 and 7.