Please help

The GCF of 16y−18 is
The GCF of 24y+30 is
The GCF of 20y+8 is
The GCF of 9y−15 is

Answer: x= -15

Step-by-step explanation:

Answer:

36:24

Step-by-step explanation:

The second number was :24, and you started out with 6:4.

To get the 24, you would have to multiply the 4 by 6 to get the 24.

So, multiply the first number 6, as well by 6.

6 x 6 = 36

36:24

:)

Answer: 36

Step-by-step explanation: 6:4 = __:24

1. 4 goes into 24, 6 times because 4x6=24 so you have to multiply 6 to 6 and 6x6=36.

The average power that Sam applies to move the package from the bottom of the ramp to the top of the ramp is 180 W.

To find the average power that Sam applies to the package to move it from the bottom of the ramp to the top of the ramp, we need to first calculate the work done by Sam on the package and the time taken to do so.

Work done (W) = Force (F) × distance (d)

Time taken (t) = Distance (d) / Speed (v)

Where

,F = 90 N (force required to move the package

)Distance (d) = 6 m (length of the ramp)

Speed (v) = 2 m/s (constant speed at which the package is moved up the ramp)

So, work done,

W = F × d

= 90 N × 6 m

= 540 J

And, time taken,

t = d / v

= 6 m / 2 m/s

= 3 s

Therefore, the average power (P) that Sam applies to the package to move it from the bottom of the ramp to the top of the ramp is given by,

P = W / t

= 540 J / 3 s

= 180 W

Hence, the average power that Sam applies to the package to move it from the bottom of the ramp to the top of the ramp is 180 W.

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Complete question :

Sam needs to push a 90.0 kg package up a frictionless ramp that is 6 m long and speed  2 m/s. Sam pushes with a force that is parallel to the incline. what is the average power that sam applies to the package to move the package from the bottom of the ramp to the top of the ramp?

Answer:

Positive

Step-by-step explanation:

Below sea level would be negative and at sea level would be zero.

The graph of the translated function g(x) = f(x + 2) - 4 is graph A.

Here we start with the parent function:

f(x) = ∛x

We have the translated function:

g(x) = f(x + 2) - 4

This is a translation of 2 units to the left and 4 units downwards.

Then we can write this function as:

g(x) = ∛(x + 2) - 4

So we need to have the critical point (change of curvature) at the point (-2, -4) instead of (0, 0) like in the parent function.

With that in mind, the correct option is A.

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Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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The total surface area of the new box is given by the equation:

SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7).

To calculate the new total surface area of the box after increasing the height by 3.5 centimeters, we need to consider the dimensions of the box and how each side is affected by the increase.

Let's assume the original box has dimensions:

Length (L)

Width (W)

Height (H)

The total surface area of the original box is given by:

SA_original = 2(LW + LH + WH)

After increasing the height by 3.5 centimeters, the new height becomes H + 3.5. The other dimensions, length and width, remain the same.

The new total surface area of the box can be calculated as follows:

SA_new = 2(LW + (L(H + 3.5)) + (W(H + 3.5)))

Simplifying the equation:

SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)

Therefore, the total surface area of the new box is given by the equation:

SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)

To find the closest value to the total surface area of the new box, you would need to know the specific values of L, W, and H for the original box. With those values, you can substitute them into the equation to calculate the exact surface area.

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we need 27 ounces of the 11% alcohol solution and 9 ounces of the 23% alcohol solution to obtain 36 ounces of a 14% solution.

Let x be the number of ounces of the 11% alcohol solution, and y be the number of ounces of the 23% alcohol solution. Then we have:

x + y = 36 (total amount of solution)

0.11x + 0.23y = 0.14(36) (total amount of alcohol)

Simplifying the second equation, we get:

0.11x + 0.23y = 5.04

Multiplying the first equation by 0.11 and subtracting from the second equation, we get:

0.12y = 1.08

y = 9

Substituting y = 9 into the first equation, we get:

x + 9 = 36

x = 27

what is numbers?

In mathematics, numbers are abstract concepts used for counting, measuring, and comparing quantities. There are several types of numbers, including natural numbers, integers, rational numbers, irrational numbers, and real numbers. Numbers are used in various mathematical operations, such as addition, subtraction, multiplication, and division, and are a fundamental concept in mathematics.

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Answer:

24

Step-by-step explanation: Divide 18 by 3 and you get 6, that's how many more times greater the amount. Then multiply 6 by 4 to get 24

Answer:

2000 meters

Step-by-step explanation:

first you have to convert the meters into centimeters so then 1cm=100 cm

1/5 meter=20 cm

20*100=2000

2000 centimeters or 20 meters

hope this helps

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Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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The slope of the line is  m = 14 / 17

The line representing  "rise" and " run" is given below

The vertical distance is said to be "rise" and from the graph it is equal to 14.

The horizontal distance is said to be "run" and from the graph it is equal to 17 .

According to the slope formula , we get

     m = 14 / 17

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a. The probability of a correct decision on each trial is 0.1.

b. The expected number of correct decisions in seven trials is 0.7.

c. The probability of no correct decisions in seven trials is approximately 0.478.

d. The probability that the psychic guesses incorrectly in all seven trials is approximately 0.0078.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

a. If the psychic is guessing (i.e., does not possess ESP), there are 10 boxes, and only one of them contains the crystal.

Therefore, the probability of a correct decision on each trial is -

p = 1/10 = 0.1

b. If the psychic is guessing, the expected number of correct decisions in seven trials can be found by multiplying the probability of a correct decision on each trial (0.1) by the number of trials (7) -

E(X) = np = 7 × 0.1 = 0.7

Therefore, the number of correct decisions is 0.7.

c. If the psychic is guessing, the probability of no correct decisions in seven trials can be found using the binomial distribution formula -

\(P(X=0) = (n\ choose\ x) \times p^x \times (1-p)^{(n-x)}\)

In this case, n = 7, x = 0, and p = 0.1.

Substituting these values into the formula, we get -

\(P(X=0) = (7\ choose\ 0) \times 0.1^0 \times 0.9^7 = 0.478\)

Therefore, the probability value is 0.478.

d. If the psychic has ESP and p = 0.5, the probability of guessing incorrectly on any trial is -

q = 1 - p

q = 1 - 0.5

q = 0.5

The probability of guessing incorrectly in all seven trials can be found using the binomial distribution formula -

\(P(X=7) = (n\ choose\ x) \times p^x \times q^{(n-x)}\)

In this case, n = 7, x = 7, p = 0.5, and q = 0.5.

Substituting these values into the equation, we get -

\(P(X=7) = (7\ choose\ 7) \times 0.5^7 \times 0.5^0 = 0.0078\)

Therefore, the probability value is 0.0078.

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The Tampa bay skeptics performed an experiment to see whether an acclaimed psychic has extrasensory perception (ESP). A crystal was placed, at random, inside 1 of 10 identical boxes lying side by side on a table. The experiment was repeated seven times, and x, the number of decisions, was recorded. (Assume that the seven trials are independent.)

a. If the psychic is guessing (i.e., if the psychic does not possess ESP), what is the value of p, the probability of a correct decision on each trial?

b. If the psychic is guessing, what is the expected number of correct decisions in seven trials?

c. If the psychic is guessing, what is the probability of no correct decisions in seven trials?

d. Now suppose the psychic has ESP and p=.5. What is the probability that the psychic guesses incorrectly in all seven trials.

Answer:

m = 2/5

Step-by-step explanation:

If you look carefully you see that each new y value is obtained by adding 2/5 to the previous one.  That 4/5 came from adding 2/5 to 2/5.

If we move from x = 0 to x = 1, y increases from 6/5 to 8/5.

Thus:  the "run" is 1; the "rise" is 2/5.

Thus, the slope is m = rise / run = 2/5 divided by 1, or just m = 2/5

The kind of data we have is Categorical data. Data that can be broken down into groups or categories is known as categorical data.

There are three categories in this case: eggs, cereal, and no breakfast These groups include the 10 students who ate cereal, 5 students who ate eggs, and 3 students who did not eat breakfast at all.

A categorical variable is a variable in statistics that can have one of a limited, typically fixed number of possible values and assign each observational unit to a specific group or nominal category based on some qualitative property.

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Answer:

Step-by-step explanation: go to the x axis that goes left to right and go to the #4 and then go down 3

Answer:

Answer below!

Step-by-step explanation:

You would start at (0, -4) which is the y-intercept according to the equation.

Other points:

y(1) = 3x - 4

     = 3(1) - 4

     = 3 - 4

     = -1

(1, -1)

y(2) = 3(2) - 4

      = 6 - 4

      = 2

(2, 2)

Answer: No

Step-by-step explanation:

The range and the Domain aren’t equal

Answer:

2.2 miles

Step-by-step explanation:

Coordinates of Joe's home = (2, 3)

Coordinates of the park = (1, 1)

The shortest distance = the distance between the two points

Use distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \) to calculate the shortest distance.

Where,

\( (2, 3) = (x_1, y_1) \)

\( (1, 1) = (x_2, y_2) \)

Plug in the values into the formula

\( d = \sqrt{(1 - 2)^2 + (1 - 3)^2} \)

\( d = \sqrt{(-1)^2 + (-2)^2} \)

\( d = \sqrt{1 + 4} \)

\( d = \sqrt{5} \)

\( d = 2.2 \) (nearest tenth)

Shortest distance between Joe's home and the park = 2.2 miles

Answer:

To find the area of a square its " A = b x h " To find the area of a triangle its: "A = 1/2 x b x h.

Step-by-step explanation:

Answer:

it gonna be $6,427.94 which is D

Step-by-step explanation:

The solution to the given differential equation as required is; y = √(x² + 4).

As evident in the task content;

dy / dx = x / y, y(0) = -2

Therefore, we have that;

dy (y) = dx (x)

By integration of both sides indefinitely;

y² / 2 = x²/2 + C

y² = x² + 2c

y = √(x² + 2c)

Hence, using the initial conditions;

-2 = √(0² + 2c)

-2 = √2c

2c = 4

c = 2.

Hence, the required solution of the differential equation as given is; y = √(x² + 4) since c = 2.

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Answer:

126468 is the result of 27 multiplied by 4684

Answer:

x=16

Step-by-step explanation:

use the Pythagorean theorem.

\(\sqrt{a^{2}+b^2 \\)= \(c^{2}\)          Another way, you can do the problem is that you can see

\(\sqrt{12^2+b^2\)= \(20^{2}\)     that 12 divided by 4 is 3 and 20 divided by 4 is 5, which is

144+b^2=400     the two numbers from the special 3,4,5 triangle, and since

-144        -144      you have figured that much out, you can multiply 4*4 and

------------------------ get 16.

      b^2=256

\(\sqrt{256\\}\) = 16

Now we have the constant of proportionality, we can fill the table in (1)

if t=6,

6 = 1/6 x d

d = 36 ft

if d = 60 ft

t = 1/6 x 60

t = 10 mins

If d =18 ft

t = 1/6 x 18

t = 3 mins

If t = 1

1= 1/6 x d

d = 6 ft

Now let me draw the table and insert the values we just got

Answer:

Step-by-step explanation:

The efficiency of a CSMA/CD-like multiple access protocol can be derived based on the given parameters. The protocol operates by nodes contending for the channel and transmitting frames in slots.

To derive the efficiency of the CSMA/CD-like multiple access protocol, we need to consider the contention and transmission behavior of the nodes. In a slot, if a node has not acquired the channel, all nodes contend with a probability p. If exactly one node transmits in that slot, it keeps possession of the channel for the next k slots to transmit an entire frame. Other nodes refrain from transmitting until the ongoing transmission completes.

The efficiency of the protocol is determined by the successful transmissions over the total available time. Considering the slot length (S), frame length (L), transmission rate (R), and the number of nodes (N), we can calculate the probability of successful transmission and the expected time for each transmission.

Efficiency can be defined as the ratio of the time spent in successful transmissions to the total available time. It depends on parameters such as the contention probability, number of nodes, frame length, and transmission rate. The efficiency formula will involve calculating the probability of a successful transmission, taking into account the contention behavior and the possession of the channel by a node.

By analyzing the protocol's operation and considering these factors, the efficiency of the CSMA/CD-like multiple access protocol can be derived and expressed as a mathematical formula or percentage.

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We can show that these data can be modeled using a linear function in the following manner:

a) We must compute the differences in the number of high school graduates in each year in order to model the data using a linear function. For instance, the difference between the 1993 and 1994 graduation rates is 5,479 - 5,410, or 69. This pattern of differences suggests that a linear function can be used to model the data.

The annual change in the number of graduates serves as the slope for the linear function. The slope, for instance, is 69 between 1993 and 1994 and 76 between 1994 and 1995. The slope for the linear function is, in general, the difference between the number of graduates in successive years, therefore it is the slope between graduates in consecutive years.

b) Y = mx + b, where y is the number of graduates, x is the year, m is the slope, and b is the y-intercept, is the formula for a linear function that represents the data. We need to know the values of m and b in order to calculate the formula for the linear function that describes the data.

We can use the slope between any two consecutive years to get the value of m. For instance, m = 69 since the slope from 1993 to 1994 is 69. The number of graduates in the first year of the data, which is the y-intercept, can be used to determine the value of b.

For instance, if the first year of the data is 1993 and that year had 5,479 graduates, then b = 5,479. Consequently, y = 69x + 5,479 is the equation for the linear function that models the data.

c) Functional notation can be used to indicate the number of high school graduates in 1994. The formula is y = 69x + 5,479, where x is the year and y is the total number of graduates. Therefore, y = 69(1994) + 5,479 = 137,123 is the total number of graduates in 1994. We may enter the numbers of x and b into the formula from section c to obtain y = 69 (1994) + 5,479 = 137,123.

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In stage 2, the magnitude of charge transferred between sphere A and sphere B was [magnitude of charge] in [units].

To determine the magnitude of charge transferred between sphere A and sphere B in stage 2, we need more information about the specific scenario or experiment. In general, the magnitude of charge transferred can be calculated using the formula Q = CV, where Q represents the charge, C is the capacitance, and V is the potential difference. The unit for charge is the coulomb (C).

The specific values for capacitance and potential difference would need to be provided in order to calculate the magnitude of charge transferred. Capacitance is measured in farads (F), and potential difference is measured in volts (V). Once these values are known, the calculation can be performed to determine the magnitude of charge transferred.

Without further information, it is not possible to provide a specific answer in terms of magnitude and units. Please provide additional details regarding the capacitance and potential difference in order to obtain a precise calculation of the charge transferred.

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