Find the slope of the line that passes through the points A(5,-1) and B
(3, -1).

Answer:

B(6, 5), C(1, -7)

Step-by-step explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)

Answer:

Equation for cost (in cents) in terms of w, l, and h is 2h(w + l) + 4l*w

Step-by-step explanation:

We are given

A rectangular box with dimensions

Width = w

Length =  l

Height = h

This needs to be visualized in 3D

First type of Sides of the box is made using the width and height

second type is made using length and height

Area of the 1st two sides = 2*w*h

Area of the 2nd type of sides = 2*l*h

Area of the top and bottom  = 2*l*w

Cost for sides = 1cent/cm^2

Cost of the sides calculated = cost* Area=  1*(2*w*h+2*l*h)

                                                                   = 2h(w + l)

similarly

cost of top and bottom = 2*2*l*w = 4*l*w

Total Cost = 2h(w + l) + 4l*w

The wire can be divided into five equal parts, where one portion is one-fifth of the total length and the other four parts are four-fifths of the total length. the measure of the longer part of the wire after cutting is 2 meters.

If the wire was cut in a ratio of 1:4, then the total length of the wire can be divided into 5 parts, where one part is 1/5 of the total length, and four parts are 4/5 of the total length. Let's call the length of one part "x".

So, the total length of the wire is:

 \(5x = 2.5\) meters

To find the length of the longer part of the wire, we need to find how many parts are in the longer portion. Since the wire was cut in a 1:4 ratio, the longer portion has four parts.

Therefore, the length of the longer part of the wire is:

\(4x = 4/5 \times 2.5 meters = 2 meters\)

Therefore, the measure of the longer part of the wire after cutting is 2 meters.

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An equation to represent this situation is y = 60x

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, we can logically deduce that the cheetah was clocked running 60 miles per hour over a 50-yard distance. This ultimately implies that, an equation that models this situation is given by:

y = 60x

Where:

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Answer:You can use a negative space \! to remove (or reduce) this to your liking. It would be best to define a command for this, for the sake of consistency

Step-by-step explanation:

Answer:

metric

Step-by-step explanation:

it's the most widely used and will most likely be the easiest to use

Answer:

answer is a

Step-by-step explanation:

i think hope it helped

Answer:

I'll assume that all the (x and y) expressions are raised to the 2 power, not x2, as written:

E.g.:  (x+1)^2+(y−1)^2=25 not (x+1)2+(y−1)2=25

(x+1)^2+(y−1)^2=25  matches the graph.

Step-by-step explanation:

The center will be at (-1,1): (x+1)=0 and (y-1) = 0

(x+1)^2+(y−1)^2=25  matches the graph.

The ordered pairs are (0, 6), (1, 4.5), (2, 4), (3, 4.5), and (4, 6) for the quadratic function f(x)=  (x- 2)²+4.

The given quadratic function is:

f(x)=  (x- 2)²+4

way to graph y = (2-2)² + 4 is to find the vertex and then create a table of

values to the graph. Since the equation is in vertex form (y = a(x-h)² + k), we know the vertex (h,k) is (2, 4). Because the vertex must be in the center, this helps you focus on the x values to utilize.

To make a table, do the following: (Select an x value and enter it into the equation to discover the y value) (x,y)

x = 0, y = (0-2)² + 4y = (-2)²+4y = (4) +4y = 2+4 ⇒ y=6

(0,6)

x = 1,y = (1-2)² + 4 == (-1) +4y ⇒ y = 4.5

(1, 4.5)

Vertex (2, 4)

(Because quadratics are symmetric, the next numbers should correspond to x-1 and x=0.)

x=3,  y=4.5

(3,4.5)

x=4, y = (4-2)² + 4 = y = (2)² + 4y = y = 2(4) + 4y=  2+4

⇒ y = 6

(4, 6)

Now graph the following points: (0, 6), (1, 4.5), (2, 4), (3, 4.5), (4, 6)

Connect the dots; the graph should be in the shape of a "u." That is the quadratic graph.

Thus, the ordered pairs are (0, 6), (1, 4.5), (2, 4), (3, 4.5), and (4, 6) for the quadratic function f(x)=  (x- 2)²+4.

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Answer:

1764

Step-by-step explanation:

Y=6b+12ab^2

Let a = 4

b = 6

Y = 6(6) +12 (4)(6)^2

   = 36 + 12 (4) (36)

   = 36+1728

   =1764

Answer:

\(\huge\boxed{\sf Y = 1764}\)

Step-by-step explanation:

\(Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}\)

Hope this helped!

The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

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ANSWER

STEP-BY-STEP EXPLANATION

Given information

Step 1: Graph the above function

Step 2: Find the asymptotes?

The asymptotes of the given function are zero because the function is not a rational function.

Answer:

\(y<5\)

Step-by-step explanation:

\(3y-4<11 \\ \\ 3y<15 \\ \\ y<5\)

The value of side length x (DF) in the triangle is 4.

The figures in the image is that of two similar triangle.

Triangle ABC is similar to triangle DEF.

From the diagram:

Leg 1 of the smaller triangle DE = 5

Leg 2 of the smaller triangle DF = x

Leg 1 of the larger triangle AB = 30

Leg 2 of the larger triangle AC = 24

To find the value of x, we take the ratio of the sides of the two triangle since they similar:

Hence:

Leg DE : Leg DF = Leg AB : Leg AC

Plug in the values:

5 : x = 30 : 24

5/x = 30/24

Cross multiplying, we get:

30x = 5 × 24

30x = 120

x = 120/30

x = 4

Therefore, the value of x is 4.

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Answer:

30

Step-by-step explanation:

Those prime numbers are 2, 3 and 5

2 * 3 is 6 * 5 is 30

i hope this helped, please mark Brainliest, thank you!!

Answer:

30

Step-by-step explanation:

The three smaller primes are: 2, 3, and 5

So their product is: 2 * 3 * 5 =30

Answer: 6,760,000 different possible serial numbers.

Step-by-step explanation: There are 10 digits numbered 0 to 9. There are also 26 letters in the alphabet. Using this, we can do 10*10*10*10*26*26 as there are four digits needed and two letters. This computes to approximately 6,760,000 different possible serial numbers, assuming no other factors are involved.

The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).

For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).

As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.

Here we have to calculate the probability that the number landing face up will be less than 3.

The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6

(1, 2, 3, 4, 5, 6)

Favorable number of faces of a die = 2

(1, 2)

Since the number landing faces up will be less than 3.

Therefore the probability that the number landing face up will be less than 3

\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)

\(& =\frac{2}{6} \\\)

\(& =\frac{1}{3}\)

Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)

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The long-run relative frequency of a number less than 3 landing face up is 2/3.

The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.

For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.

For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.

Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.

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Answer:

D- No solution

Step-by-step explanation:

Isolate x for x+2y−z=3: x=3−2y+z

then Simplify

then Isolate y for −5y+4z+6=6: y= 4z 5 −5y+4z+6=6 Subtract 6 from both sides −5y+4z+6−6=6−6 Simplify −5y+4z=0 Subtract 4z from both sides −5y+4z−4z=0−4z Simplify −5y=−4z Divide both sides by −5 −5y −5 = −4z −5 Simplify y= 4z 5

lastly simply.

Answer:

The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.

B. 2×2×5×11=220

if you divid 220 by 2=110

110÷2=55, 55÷5=11, 11÷11=1

2, 2,5, 11

Answer:

THE ANSWER IS 81/16 OR C

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

D 1/2

Step-by-step explanation:

Probability is  the ratio of the number of favorable outcomes to the total number of outcomes

number of favorable outcomes = 11+8 = 19

total number of outcomes = 38

                    The probability that a randomly selected balloon would be green or orange is

  19/38 = 1/2

Answer:

i think its 700 hope it help

Step-by-step explanation:

the answer would be

70 times

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:

$4.20 / 7 erasers = $0.60 per eraser

So each eraser in the package costs $0.60.

Step-by-step explanation:

5.3g+9=2.3g+15

5.3g-2.3g=15-9

3g=6

3g/3=6/3

g=2

B,5.3(2)+9=2.3(2)+15

10.6+9=4.6+15

19.6=19.6

g = 2

5.3g + 9 = 2.3g + 15

Subtract 9 from both sides.

5.3g + 9 - 9 = 2.3g + 15 - 9

5.3g = 2.3g + 6

Subtract 2.3g from both sides

5.3g - 2.3g = 2.3g - 2.3g + 6

3g = 6

Divide both sides by 3

g = 2

To check if the value of g is correct, substitute the value of g in the equation above and remember that the both sides should be equal because of the equal sign (=) in the equation.

5.3g + 9 = 2.3g + 15

5.3(2) + 9 = 2.3(2) + 15

10.6 + 9 = 4.6 + 15

19.6 = 19.6

Answer:

15/17

Step-by-step explanation:

sine is opposite/hypotenuse