One spring day, Parker noted the time of day and the temperature, in degrees
Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 52° F. For the
next 2 hours, the temperature rose 4° per hour. For the next 5 hours, it rose 1° per
hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the
temperature dropped 3° per hour. The temperature then dropped steadily until the
temperature was 57° at midnight. On the set of axes below, graph Parker's data.

The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.

It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.

Since slope is the rate of change in y with respect to x;

The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;

Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.

Remarks: The complete question is such that the required slope is -2.

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Answer: the second option

Step-by-step explanation:

i took the assignment

The limits of the function for this problem are given as follows:

In this problem, we are given the graph of the function, hence the limit is given by the value of the function as the function approaches x = a, not the actual numeric value of the function at x = a.

At x = -2, we have that:

As the lateral limits are equal, lim x -> -2 f(x) = 3.

At x = 1, we have that:

As the lateral limits are different, the lim x -> 1 f(x) does not exist.

At x = 4, we have that:

As the lateral limits are equal, lim x -> 4 f(x) = -3.

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Answer:

A

Step-by-step explanation:

4.22

The combination of tickets that must be sold to have total sales of at least $5000 is  7x + 5y ≥ 5000

The situation forms an inequality. Inequality expression has <, >, ≤ or ≥. Therefore,

let

x = number of adult ticket sold

y = number of students ticket sold

Therefore, the combination of tickets must be sold to have total sales of at least $5000 is as follows:

7x + 5y ≥ 5000

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146 crates

13,400 peaches divided by 92 per crate is roughly 145.65 crates. You can’t have part of a crate so round up to get 146 crates

To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:

Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.

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Answer:

A. Her salary is one dollar more than twice John’s salary. Answer: 3) 2J = H + 1

B. John’s salary is twice hers plus $1. Answer: 4) J = 2H + 1

C. Twice John’s salary is the same as her salary plus one. Answer: 2) H = 2J + 1

D. Twice her salary is the same as John’s salary plus $1. Answer: 1) 2H = J + 1

Step-by-step explanation: hope this help

Answer:

Step-by-step explanation:

(x + y + z) = 180

x : y : z = 4 : 9 : 2

(x+y+z) : x = 15 : 4

180 : x = 15:4

x = (4 * 180)/15 = 48 degrees

180 : y = 15 : 9

y = (9 * 180)/15 = 108 degrees

180 : z = 15 : 2

z = (2 *180)/15 = 24 degrees

These two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

The correct system of equations to model this scenario is:

x + y = 414 (Equation 1)

9x + 12y = 3780 (Equation 2)

In this system, x represents the number of children and y represents the number of adults who played that day.

Equation 1 represents the total number of customers, which is 414. It states that the sum of the number of children (x) and the number of adults (y) is equal to 414.

Equation 2 represents the total cost of the games played. Since the cost for a child's game is $9 and the cost for an adult's game is $12, we multiply the number of children (x) by $9 and the number of adults (y) by $12. The equation states that the total cost, which is $3780, is equal to the sum of these individual costs.

Together, these two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

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The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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Answer:

wait do you have a picture of a graph so i can understand more correcctly

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

t = -10

Step-by-step explanation:

Ok so,

12 - 10t = -13t -18

12 - 10t + 13t = -13t + 13t - 18

12 + 3t = -18

12 - 12 + 3t = -18 - 12

3t = -30

t = -10

hope this helps! have a good day!

Answer: C) f(-4) = 54

GIVE ME A THANKS

Step-by-step explanation:

f(x) = 7 ( 3 - x ) + 5

f(-4) = 7 ( 3 - (-4)) +5

f(-4) = 7 ( 7 ) + 5

f (-4) = 49 + 5

f (-4) = 54

This is a word problem, and the cost of one house in rubles is 1200, as the five sisters shared their father's inheritance equally.

If the three oldest sisters each paid 800 rubles, then they collectively paid 2400 rubles (800 rubles x 3 sisters) to the two younger sisters

Each of the the two younger sisters will have a total of 1200 rubles (2400 rubles/2 younger sisters), as they divided the money among themselves.

In conclusion, since the five sisters shared their father's inheritance equally, then 1200 rubles is the cost of one house, which solves the word problem

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A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.

In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.

Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.

If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.

The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.

If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.

Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.

Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.

This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.

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Answer:

66

Step-by-step explanation:

75% of 88 is 66

Answer: -202

Step-by-step explanation:

The other answer is wrong, because they forgot a small part in solving the problem. The computer says this answer is right so try this one.

The solution of given question is -99.

What is sequence?

A sequence is defined as an arrangement of numbers which is particular order.

Given that,

1−3+2−4+3−5 + ⋯ +101−103.

Above sequence also can be written as

{1+2+3+...+101}  - { 3+4+5....+103}

∵ S = n/2 [2a+(n-1)d] using formula,

⇒101/2[ 2×1+ (101-1)(1)]   - {100/2[2×3+(100-1)(1)}

⇒101/2[2+100]  -  100/2[6+99]

⇒101/2[102] - 100/2[105]

⇒5151 - 5250

⇒-99

Thus, the solution of given question is -99

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Answer:

a) 14

b) 7/45

Step-by-step explanation:

a) 12 are male and studied chemistry

b) There are 14 male Biologists and 90 in total which is 14/90 which = 7/45

(I'm not 100% sure but if I'm wrong I'm very sorry)

I read the question wrong 3 times I'm blind

The percentage decrease of the depth of the lake from January to August is 20%.

The difference between the initial and final numbers is shown as a percentage reduction. It displays a percentage loss of value compared to the original regardless of the units. The decrease is equal to the initial amount less the final amount.

Given,

The depth of lake in January = 943 feet

The depth of lake in August = 754.4 feet

The difference is = (943-754.4) feet

                             = 186.6 feet

So, the percentage decrease of the depth of the lake from January to August will be =  (186.6 ÷ 943) × 100

                        = 20%

Therefore, the answer is 20%.

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The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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Therefore, the magnitude of the acceleration is instantaneously zero at t = 5/3 and t = 1. Therefore, the displacement of P from the origin when t = 2 is -8/3 meters.

A function is a mathematical concept that describes a relationship between two sets of values, called the domain and the range. It is a rule or a set of rules that assigns a unique output value for every input value in the domain. In other words, it is a process that takes one or more inputs and produces a corresponding output. Functions are commonly represented using equations, graphs, or tables. They are used in various branches of mathematics, science, engineering, and technology to model real-world phenomena, make predictions, and solve problems.

Here,

(a) To find the acceleration, we need to take the derivative of the velocity function with respect to time:

a = dv/dt

= d/dt (t³ - 4t² + 5t + 1)

= 3t² - 8t + 5

(b) To find the values of t for which the magnitude of the acceleration is instantaneously zero, we need to solve the equation:

|a| = |3t² - 8t + 5|

= 0

This occurs when 3t² - 8t + 5 = 0, which factors as (3t - 5)(t - 1) = 0. Therefore, the magnitude of the acceleration is instantaneously zero at t = 5/3 and t = 1.

(c) To find the displacement of P from the origin when t = 2, we need to integrate the velocity function from t = 0 to t = 2:

s = ∫(v dt)

= ∫(t³ - 4t² + 5t + 1 dt)

= (1/4)t⁴ - (4/3)t³ + (5/2)t² + t + C

We know that s(0) = 3, so we can solve for C:

3 = (1/4)(0)⁴ - (4/3)(0)³ + (5/2)(0)² + 0 + C

C = 3

Therefore, the displacement of P from the origin when t = 2 is:

s(2) = (1/4)(2)⁴ - (4/3)(2)³ + (5/2)(2)² + 2 + 3

= -8/3 meters

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Answer:

0 and the second one

Step-by-step explanation:

integers are whole numbers they are NOT a fraction

Answer:

0, 21/7

Step-by-step explanation:

fraction is not an integer so is square root

and 10^-1 is 0.1 which is not a integer

Answer:

-2

Step-by-step explanation:

whenever x pops in substitute x with -4

-2(-4)-10

8-10

-2

Answer:

23 students

5 taxis

Step-by-step explanation:

4x + 3 = 3x + 8

x + 3 = 8

x = 5

4(5) + 3 = 23

3(5) + 8 = 23

There were 23 students and 5 taxis.