-3x + 5<-16

X(type your answer)(type your answer)

The ranking based on average speed is 1 > 2 > 4 > 3

(a) Based on the given information, we have:

V1 = V2: The objects on paths 1 and 2 have the same average velocity.

V3 < V4: The object on path 4 has a greater average velocity than the object on path 3.

(b) Average speed is simply the distance traveled divided by the time interval. If the objects move at a constant speed along each path, then the paths with the greatest distances will have the greatest average speeds. Therefore, the ranking based on average speed is:

1 > 2 > 4 > 3

Note that this ranking is based only on the distances traveled along each path, and does not take into account the directions of motion or any changes in direction.

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The distance between the cars after a hour is 14 meters.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

In this case, the cars leave town at the same time. One travels west at 56 mph, and the other travels south at 42 mph.

With the speed, the total distance after an hour will be:

= 56 - 42

= 14 meters

The cars are 14 meters apart.

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If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.

If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:

0.2 × 56

= $11.6

Therefore the waiter was tipped $11.6

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Answer:

A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.

Evaluate the expression 0.20d for d=56.

0.20d

=

0.20(56)

=

11.2

The family tipped the waiter $11.20.

Answer:

16

Step-by-step explanation:

a and b are called valuables while 16 is the coefficient of both a and b.

The next 3 term of a sequence which is neither arithmetic nor geometric should be found

First term = 28

Second term = 14

difference = second term - first term

= 14 - 28

= -14

The next 3 terms will have a difference of -14 each

Third term = second term - 14

= 14 - 14

= 0

Third term = 0

Fourth term = Third term - 14

= 0 - 14

= -14

Fourth term = -14

Fifth term = Fourth term - 14

= -14 - 14

= -28

Fifth term = -28

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Domain:

Range:

Function:

Domain:

Range:

Function:

Domain:

Range:

Function:

The dairy farmer would mix 1120 pounds of 75% protein supplement and 280 pounds of 50% protein ration to make 1400 pounds of a high grade 70% protein ration.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of 75% protein supplement and y represent the amount of 50% protein, hence:

x + y = 1400     (1)

Also:

0.75x + 0.5y = 0.7(1400)     (2)

Hence:

x = 1120, y = 280

The dairy farmer would mix 1120 pounds of 75% protein supplement and 280 pounds of 50% protein ration to make 1400 pounds of a high grade 70% protein ration.

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Step-by-step explanation:

(a)

(b)

(c)

(d)

(a) The reliability of this system is 0.42

(b) The reliability of this system is 0.8376

As per the given data that the probabilities that components A, B, C, and D function properly are 0.6, 0.7, 0.8, and 0.9 respectively.

Let the name of the components itself denote the event that the corresponding component works properly.

So P(A) = 0.6,  P(B) = 0.7, P(C) = 0.8, P(D) = 0.9.

We have to find the reliability of the given structure of the combination of the above-said components.

The diagrammatic representation(attached at the end of solution(a)) of the system is as follows.

The above system consists of components A and B connected in the sequel. So the reliability of the system is the probability that both A and B function properly.

This probability is given by P(A ∩ B) = P(A)P(B) as the events are independent. Substitute the probabilities in the above formula.

P(A ∩ B) = (0.6)(0.7)

P(A ∩ B) = 0.42

The diagrammatic representation(attached at the end of solution(b)) of the system is as follows.

In the above system, the components A and B and components C and D are connected the in the sequel. The entire system is connected in parallel with A, B and C, D. The reliability of this system is given by the probability.

P(A ∩ B) ∪ P(C ∩ D) = P(A ∩ B) + P(C ∩ D) - P(A ∩ B) ∩ P(C ∩ D)

= P(A)P(B) + P(C)P(D) - P(A)P(B)P(C)P(D)

= (0.6)(0.7) + (0.8)(0.9) - (0.6)(0.7)(0.8)(0.9)

= 0.42 + 0.72 - 0.3024

= 1.14 - 0.3024

= 0.8376

Therefore answer is 0.8376

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To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.

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Answer:

It is A. 2^x

Step-by-step explanation:

For relative rates of growth, we know: Log < Poly < Exponential.

This rules out B, C, and D quickly. Although, if you do L'Hôpital's rule, it might seem like A & D are very comparable. However, if you continually took the derivative of 2^x and x^20, eventually x^20 would equal zero, while 2^x would still be a variable. So, you would have:

\(\lim_{x \to \infty} \frac{2^{x}}{0} =\) ∞

When the limit of x as it approaches infinity is infinity, then f(x) grows at a faster rate than g(x).

Also, by looking at the graph (which is attached), you can see that 2^x grows faster than x^20.

Since the product of variables in inverse proportion is constant, the equation is \(\boxed{xy=-1300}\)

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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Answer:111

Step-by-step explanation:

1111

he standard form of a quadratic efunctionis:

Since the y-intercept is (0, -1.4), it follows that:

Substitute c = -1.4 into the equation:

Since the x-intercept is (0.905, 0), it follows that:

Since the graph passes through the third point (2, 0.6), it follows that:

Substitute equation (2) into equation (1):

Substitute a = -0.5 into equation (2), therefore,

Therfore the function is given by:

The equation of the parabola is y = -0.5x² + 2x - 1.4

.

The value of 4 ÷ 3/5​ is 6 2/3 or 6.67 (rounded to two decimal places).

To divide fractions, you can use the following steps:

To divide by a fraction, we can multiply by its reciprocal.

Reciprocal of 3/5 = 5/3

So, 4 ÷ 3/5 = 4 x 5/3 = 20/3

Therefore, 4 ÷ 3/5 = 6 2/3 or 6.67 (rounded to two decimal places).

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Answer:

it will be choice 3

Step-by-step explanation:

as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side

Answer:

d

Step-by-step explanation:

thats the answer

Then the new coordinate after transformation will be A''(3, 5), B''(0, 4), C''(0, 2), and D''(3, 0). Then the correct option is D.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object. From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The coordinates of the vertices of trapezoid ABCD after it has been rotated 90° counterclockwise about the origin and then reflected over the x-axis. A(−5,−3), B(−4,0), C(−2,0), and D(0,−3).

Then the new coordinate after transformation will be A''(3, 5), B''(0, 4), C''(0, 2), and D''(3, 0). Then the correct option is D.

The diagram is attached below.

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Answer: 1

Step-by-step explanation: So, since this is a subtraction problem of negative numbers, we will make this an inverse operation, and make this an addition problem (It's easier to solve) So, now it will be written as -9 + 10. This is the same as 10-9, which would give us our answer; 1. I hoped this helped.

This question above is incomplete

Complete Question

Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?

Answer:

70 Blue marbles

Step-by-step explanation:

Let red marbles = R

Blue marbles = B

Step 1

Jim had 103 red and blue marbles.

R + B = 103.......Equation 1

R = 103 - B

Step 2

After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles

2/5 of B to Samantha

Jim has = B - 2/5B = 3/5B left

He also gave 15 red marbles to Samantha

= R - 15

The ratio of what Jim has left

= Red: Blue

= 3:7

= 3/7

Hence,

R - 15/(3/5)B = 3/7

Cross Multiply

7(R - 15) = 3(3/5B)

7R - 105 = 3(3B/5)

7R - 105 = 9B/5

Cross Multiply

5(7R - 105) = 9B

35R - 525 = 9B............ Equation 2

From Equation 1, we substitute 103 - B for R in Equation 2

35(103 - B) - 525 = 9B

3605 - 35B - 525 = 9B

Collect like terms

3605 - 525 = 9B + 35B

3080 = 44B

B = 3080/44

B = 70

Therefore, Jim originally had 70 Blue marbles.

Given:

u varies directly with the square of p and inversely with d.

To find:

The equation for the given situation.

Solution:

If y is directly proportional to x, then

\(y\propto x\)

If y is inversely proportional to x, then

\(y\propto \dfrac{1}{x}\)

It is given that u varies directly with the square of p and inversely with d. So,

\(u\propto \dfrac{p^2}{d}\)

It can be written as:

\(u=k\dfrac{p^2}{d}\)

Where, k is the constant of proportionality.

Therefore, the required equation is \(u=\dfrac{kp^2}{d}\).

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:

J (-3,3), G (0,3), H (4,9), I (3,3)

Step-by-step explanation:

When your dilating a figuring it either gets larger or smaller. Since this is a positive number, and it is not a fraction then the figure is getting larger. Now you multiply each of the original coordinates by 3 to get the dilated coordinates.

(For learning purposes only)

Answer:

D. Doubling the amount of charge on one of the particles

Step-by-step explanation:

Force between charged particles:

The force between two charged particles is given by:

\(F = \frac{kq_1q_2}{r^2}\)

In which k is the coulomb constant, \(q_1\) and \(q_2\) are the charges and r is the distance between them.

Which of the following changes would double the force between two charged particles?

Doubling the amount of force on both particles quadriplies, as does decreasing the distance between the particles by a factor of 2(we would have a division by 1/4 which is the same as a multiplication by 4).

Increasing the distance would decrease the force.

So the correct option is D, one of the particles' charges being multiplied by 2 means that the equation for F is multiplied by 2, and thus, the force is doubled.

For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

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Answer:

(-2,2)

Step-by-step explanation:

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57