One truck travels average speed of 53 miles per hour north .The other travels 50 miles per hour south. After how many hours will two trucks be 206 miles apart?

Answer:

The function is nonlinear

Step-by-step explanation:

Given

x --- y

1 --- 6

2 --- 24

3 --- 54

4 --- 96

Required

Determine if the function is linear of not

A function is linear if the difference in the successive y values are the same for corresponding values of x

When x = 1; y = 6 and when x = 2; y = 24

\(Difference = 24 - 6\)

\(Difference = 18\)

When x = 2; y = 24 and when x = 3; y = 54

\(Difference = 54 - 24\)

\(Difference = 30\)

When x = 3; y = 54 and when x = 4; y = 96

\(Difference = 96 - 54\)

\(Difference = 42\)

Note that the calculated differences are not equal.

Hence, the function is nonlinear

Answer:

16 this is the real answer

Step-by-step explanation:

Hope this help

12 is the population mean or sample mean of given data.

Given that

The collected data

17, 10, 3, 5, 25

To find

The population mean or sample mean

So, according to the question

we have,

The collected data

 17, 10, 3, 5, 25

For calculate the the population mean or sample mean, We have to find out the total of data, and total number of data.

Total of data = 17+ 10 +3 + 5+ 25

Total of data = 60

Total number of data (n) = 5,

So, we know that

Sample mean = \(\frac{total\;of\;data}{n\;number\;of\;data}\)

Now, putting the all values,

We will get,

Sample mean =  60/5  

 = 12          

The Sample mean of given data is 12.

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Answer:

Rotated then reflected.

Step-by-step explanation:

Answer: its 2

Step-by-step explanation:

Jackson's total cost after the discount and before tax would be $24.67.

When a store offers a discount, it reduces the price of the item by a certain percentage. In this case, Jackson has a loyalty card that gives him a 10% discount on his purchase.

To calculate the price after the discount, we multiply the original price by 1 minus the discount percentage (in decimal form).

Here we have

Jackson has a 10% discount at his local hardware store.

Let 'x' be the cost before tax

After a 10% discount,

The amount that Jackson could pay 90% of the cost

Given that he wants to buy $ 27.40  

The cost of items after discount = 90% of 27.40

= [ 90/100 ] × 27.40

= [ 0.9 ] × 27.40

= 24.66

Therefore,

Jackson's total cost after the discount and before tax would be $24.67.

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Answer:

33

Step-by-step explanation:

The Solution:

Given the figure below:

We are to identify the option that is not sufficient to prove that:

Clearly, option H is not sufficient.

Therefore, the correct answer is [option H]

Answer:

steam plot

Step-by-step explanation:

because the stem plot is easy to use

Answer:

Step-by-step explanation:

Take these: 23, 27, 29, 35, 36, 41, 47, 48, 52. It is better as a stem and leaf.

---------------------------------------------------------------------------------------------------------

2 ][ 3 7 9

3 ][ 5 6

4 ][ 1 7 8

5 ][ 2

---------------------------------------------------------------------------------------------------------

If you use dot plot, it is recommended use amounts under 10.

Answer:

3 rolls of tape

Step-by-step explanation:

600 diveded by 200 is 3

The simplified equation is y = 3x -40.

What do you mean by translation of graph?

Translating a graph means that moving the graph of a parent operate either vertically or horizontally. To translate a graph vertically means that to shift the graph k units upward or downward looking on the sign of k. If k is positive, shift the graph upward however if k is negative, shift the graph downward. On the opposite hand, translating a graph horizontally means that shifting the graph side wards by h units to the left or to the correct. If h>0, shift the graph to the correct however if h<0, shift the graph to the left.

Main body:

According to question:

Y = √9x-36-4

√9 can be written as 3.

y = 3x -40

Hence , the simplified equation is y = 3x -40.

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Answer:

D is the answer

Step-by-step explanation:

The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.

Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.

From the first statement, we know that:

2x + 6y = 12.30 ---(Equation 1)

From the second statement, we know that:

3x + 2y = 9.70 ---(Equation 2)

Now we can solve this system of equations to find the values of 'x' and 'y'.

Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:

6x + 18y = 36.90 ---(Equation 3)

6x + 4y = 19.40 ---(Equation 4)

Subtracting Equation 4 from Equation 3, we get:

14y = 17.50

Dividing both sides by 14, we find:

y = 1.25

Substituting the value of 'y' back into Equation 1, we can solve for 'x':

2x + 6(1.25) = 12.30

2x + 7.50 = 12.30

2x = 4.80

x = 2.40

Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

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Answer:

12 miles per hour.

Step-by-step explanation:

1. If you pick 5 hours, then you will noticed that the graph shows you 60 miles.

2. Find the unit rate.

5 hours = 60  miles

1 hour = x miles

x= 60 ÷ 5

x= 12 miles per hour

Solution

Depending on the context of the Problem P(A and B) can mean different thing

TRUE

When We have a Mutually Exclusive Event

When we have an Indepedent Event

Hence, the P(A and B) depend on the context of the problem

This is TRUE

Answer:

430303/200000

Step-by-step explanation:

hope this helps!!!

Answer:

5, 6

Step-by-step explanation:

Answer:

Los números son:

6 y 5

Step-by-step explanation:

Planteamiento:

a * b = 30

a + b = 11

Desarrollo:

De la segunda ecuación del planteamiento:

a = 11-b    

Sustituyendo esta última ecuación en la primer ecuación del planteamiento:

(11-b)*b = 30

11*b + b*-b = 30

11b - b² - 30 = 0

-b² + 11b - 30 = 0

b = {-11±√((11²)-(4*-1*-30))} / (2*-1)

b = {-11±√(121-120)} /-2

b = {-11±√1} / -2

b = {-11±1} / -2

b₁ = {-11-1} / -2 = -12/-2 = 6

b₂ = {-11+1} / -2 = -10/-2 = 5

Comprobación:

6*5 = 30

6+5 = 11

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Standard form is numbers only.

Examples of standard numbers are 4, 225, or 9,002

A thousands number has 4 digits.

A hundreds number has 3 digits.

A tens number has 2 digits.

A regular number has 1 digit (itself).

Three hundred means 300.

Three hundred thousand, would be 300 times 1,000 (one thousand), or adding 3 zeros.

Two hundred is 200.

One is 1.

300 times 1,000 is 300,000.

300,000 and 200 is 300,200.

If the ones digit has a 1, then the number is 300,201.

Three hundred thousand, two hundred one written in standard form is 300,201.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Three hundred thousand, two hundred one written in standard form is 300,201.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

A thousand number has 4 digits.

A hundred number has 3 digits.

A tens number has 2 digits.

A regular number has 1 digit (itself).

Three hundred means 300.

Three hundred thousand would be 300 times 1,000 (one thousand), or adding 3 zeros.

Two hundred is 200.

One is 1.

300 times 1,000 is 300,000.

300,000 and 200 is 300,200.

If the one digit has a 1, then the number is 300,201.

Three hundred thousand, two hundred one written in standard form is 300,201.

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Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

Setting x=2 in the function is the simplest approach to discover f(2). However, you might plot the graph of f(x) and the vertical line x=2 to visually solve this.

Set x=2 in the function for the quickest and easiest method to discover f(2). Plotting the graph of f(x) and the vertical line x=2 would allow you to visually answer this problem. Next, the graphs' intersection will represent the answer. The "x" in "f (x)" is known as "the function's argument" or simply "the argument" in function notation.

As a result, if they ask for a "argument" and offer you the equation "f (2)," all you have to say is "2." Now (1) f(2)=2(2+1)=2×3=6.If our function's value is f(2), then we should calculate its value when x=2. Example. If x = 2, then f(2) = 2 + 7 = 9. F(x) = x + 7. GF(2), also known as the Galois field of two elements, or F2, the chemical formula for fluorine. F2 is a tornado intensity category on the Fujita scale.

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Answer:

B. 90 inches

Step-by-step explanation:

Given that

The length is 50 m

And, the width is 25 m

Scale factor is 3 inches per 5 m

We need to find out the  perimeter of the pool

So,

5 meter = 3 inches

3  ÷ 5 = x ÷ 50

x = 30 inches = length

Now

3  ÷ 5 = x ÷ 50

x = 15 inches = width

Now the perimeter of the pool is

= 2(l + w)

= 2 (30 + 15)

= 90 inches

To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

Answer:

add me as a friend and give me thanks

Step-by-step explanation:

the answer is A for sure

The perimeter of the smaller figure among the two figures with similarity ratio of 4:3 is 18cm.

A ratio is a number that allows one quantity to be expressed as a fraction of another quantity. Two numbers in a ratio can only be compared if they have the same units. Use ratios to compare two things.  

The similarity of two similar shapes is the ratio of each pair of corresponding sides. Simply put, when two figures are found to be similar, all pairs of corresponding sides have the same proportions. 

According to the information:

Perimeter of larger figure= 24cm

Let, perimeter of smaller figure be "x"

So,

4:3 = 24/x

4/3 = 24/x

⇒x = (24 x 3)/4

⇒x = 72/4

⇒x = 18

Thus the perimeter of smaller figure is 18cm.

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0.1449 = 14.49% probability that 6 students or more will score an "A" on the final exam.

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For each student, there are only two possible outcomes. Either they score an A, or they do not. The probability of a student scoring an A is independent of any other student, which means that the binomial probability distribution is used to solve this question.

Additionally, to find the proportion of students who scored an A, the normal distribution is used.

----------------

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of a success.

----------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean and standard deviation , the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

----------------

Proportion of students that scored an A:

Scores have a mean of 79 and a standard deviation of 11.3, which means that \(\mu = 79, \sigma = 11.3\)

Scores of 90 or higher are graded an A, which means that the proportion is 1 subtracted by the p-value of Z when X = 90, so:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{90 - 79}{11.3}\)

\(Z = 0.97\)

\(Z = 0.97\) has a p-value of 0.8340.

1 - 0.8340 = 0.166

The proportion of students that scored an A is 0.166.

----------------

Probability that 6 students or more will score an "A" on the final exam:

Binomial distribution.

22 students, which means that \(n = 22\)

The proportion of students that scored an A is 0.166, which means that \(p = 0.166\)

The probability is:

\(P(X \geq 6) = 1 - P(X < 6)\)

In which

\(P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)\)

Then

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{22,0}.(0.166)^{0}.(0.834)^{22} = 0.0184\)

\(P(X = 1) = C_{22,1}.(0.166)^{1}.(0.834)^{21} = 0.0807\)

\(P(X = 2) = C_{22,2}.(0.166)^{2}.(0.834)^{20} = 0.1687\)

\(P(X = 3) = C_{22,3}.(0.166)^{3}.(0.834)^{19} = 0.2239\)

\(P(X = 4) = C_{22,4}.(0.166)^{4}.(0.834)^{18} = 0.2117\)

\(P(X = 5) = C_{22,5}.(0.166)^{5}.(0.834)^{17} = 0.1517\)

Then

\(P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0184 + 0.0807 + 0.1687 + 0.2239 + 0.2117 + 0.1517 = 0.8551\)

\(P(X \geq 6) = 1 - P(X < 6) = 1 - 0.8551 = 0.1449\)

Thus

0.1449 = 14.49% probability that 6 students or more will score an "A" on the final exam.

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Answer: x= -7

Step-by-step explanation:

Answer:4x + 8y = 36 and 12x + 24y = 108.

Step-by-step explanation:The perimeter of the rectangle is 36 units. The perimeter of the triangle is 108 units. Write and solve a system of linear equations to find the values of x and y.

Answer:

Step-by-step explanation:

Given r = -3 + 4 cos 0

To find the when r is maximum

We will find:

so, Theta = 0 or pi

So, when theta = 0

r = -3 + 4 cos 0 = -3 + 4 = 1

when theta = pi

r = -3 + 4 cos pi = -3 - 4 = -7

As r is the distance from the pole

So, the maximum distance occur at theta = pi

So, the answer is option d. π