The price of a share of stock changed by -$19.20
over a 5-day period. What was the average daily
change in the price of a share of the stock?

-3 ≤ x ≤ 5 and -4 ≤ y ≤ 2. gives the correct range for the graph.

The correct range for the graph can be determined by looking at the minimum and maximum values of the x and y coordinates of all the points on the graph.

For the given coordinate plane with two line segments, the x-coordinates range from -3 to 5, which means -3 ≤ x ≤ 5. The y-coordinates range from 1 to 2 (on the first segment) and from -4 to 1 (on the second segment), which means -4 ≤ y ≤ 2.

Therefore, the correct range for the graph is -3 ≤ x ≤ 5 and -4 ≤ y ≤ 2.

So, the answer is -3 ≤ x ≤ 5 and -4 ≤ y ≤ 2.

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a. 3h = -12 + 5s

b. Speed = 51. 6 miles per hour

c. Height = 76 feet

Given the function;

5s - 3h = 12

Where;

a. To solve for 3h

We have;

- 3h = 12 - 5s

3h = -12 + 5s

b. If the height is 82 feet , then

5s - 3(82) = 12

5s - 246 = 12

collect like terms

5s = 12 + 246

5s = 258

Make 's' the subject

s = 258/ 5

s = 51. 6 miles per hour

c. If the speed is 48 miles per hour, we have;

5(48) - 3h = 12

240 - 3h = 12

collect like terms

-3h = 12 - 240

-3h = -228

Make 'h' the subject

h = -228/ -3

h = 76 feet

Thus, the speed and height are 51. 6 miles per hour and 76 feet respectively.

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Answer:

x = 4

Step-by-step explanation:

2(4x + 3) = 10x - 2

2 × 4x + 2 × 3 = 10x - 2

8x + 6 = 10x - 2

8x - 10x = - 6 - 2

- 2x = - 8

2x = 8

x = 8/2

x = 4

-TheUnknownScientist

Answer:

x= 4

Step-by-step explanation:

we open brackets first

2(4x + 3) = 10x - 2

8x+6=10x-2

transpose

6+2= 10x-8x

8= 2x

x= 8/2

x= 4

The probability of winning the minimum award of $100 in the lottery is \(\frac{113}{140448}\)

The probability of picking first winning number (out of 57 white balls) is \(\frac{1}{57}\)

Now, out of the remaining 56 white balls, the probability of picking second winning number is \(\frac{1}{56}\)

So total probability of the correctly matching two numbers drawn from the white balls is  \(\frac{1}{57} + \frac{1}{56}\)

Next, to match the winning number on the gold ball, probability of this event is \(\frac{1}{44}\)

Thus overall probability of winning the minimum award is calculated by multiplying the individual probabilities of aforesaid two independent events as follows:

\((\frac{1}{44}) (\frac{1}{57}+\frac{1}{56})\)

= \(\frac{113}{140448}\)

Above value is the probability of winning the minimum award of $100.

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Answer:

x²+2x-8

leading coefficient is 4

therefore equation is 4x²+x-2

Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

Answer:

ice cream scoops (white scoop)= 2

ice cream cones = 3

ice cream scoops (pink scoops) = 1

Step-by-step explanation:

3 x 3 x 3 = 27

3(cone) + 2(white scoop) + 3(cone) + 2(white scoop) = 10

and so on

According to the information, the player who scored the most goals in relation to the number of shots he took was Brad.

To find the player who scored the most goals in relation to the number of shots we must divide the fraction and place the number on the line. Once we have graphed this data, the highest number would be the one who scored the most goals compared to his attempts.

According to the above, the divisions would be:

According to the above, Brad was the one who scored the most goals.

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Step-by-step explanation:

you have quand app download and photo this one and come answer

your questions photo and come answer

Answer:

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

The formed triangles are similar right triangles.

They have equal ratios of corresponding sides.

Let the tree is t feet high, then we have ratios:

Solve it for t:

Answer:

10.8 feet

Step-by-step explanation:

The problem involves using proportions to find the height of the tree, based on the height of the child and the lengths of the two shadows.

To set up the proportion, first recognize that the ratio of the height of the child to the length of their shadow is the same as the ratio of the height of the tree to the length of its shadow.

This can be written mathematically as:

\(\boxed{\sf \dfrac{height\;of\;the\;child}{child\;shadow\;length}=\dfrac{height\;of\;the\;tree}{tree\;shadow\;length}}\)

Let the height of the tree be x.

Given the height of the child is 4.5 feet, the length of the child's shadow is 10 feet, and the length of the tree's shadow is 24 feet:

\(\begin{aligned}\sf \dfrac{height\;of\;the\;child}{child\;shadow\;length}&=\sf \dfrac{height\;of\;the\;tree}{tree\;shadow\;length}\\\\\dfrac{4.5}{10}&=\dfrac{x}{24}\end{aligned}\)

To solve for x, multiply both sides of the equation by 24 and simplify:

\(24 \cdot \dfrac{4.5}{10}=24 \cdot \dfrac{x}{24}\)

     \(\dfrac{108}{10}=x\)

     \(10.8=x\)

Therefore, the height of the tree is 10.8 feet.

The number of buses are 3 they took if each van holds 6 students and each bus holds 20 students.

What are the number of buses?

Let's use V and B to represent the number of vans and buses, respectively.

We know that:

V + B = 5 (since there were 5 vehicles in total)

6V + 20B = 72 (since there were 72 students in total)

We can use the first equation to solve for V in terms of B:

V = 5 - B

Then we can substitute this expression for V into the second equation:

6(5 - B) + 20B = 72

30 - 6B + 20B = 72

14B = 42

B = 3

Therefore, the class took 3 buses.

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Complete question is: A class of 72 students went on a field trip. They took 5 vehicles, some vans and some buses. the number of buses are 3, they took if each van holds 6 students and each bus holds 20 students.

i like both but tododeku

i personally like tododeku

Answer:

B. Yes. Their slopes have product -1.

Step-by-step explanation:

Given:

Line passing through P(-3, -2) and Q(2, 3)

Line passing through R(10, -1) and S(15, -6)

Required:

To determine if both lines are perpendicular.

SOLUTION:

Two lines are considered perpendicular if the product of their slopes equal -1.

To determine if both lines given in the question are perpendicular, first, calculate their slope using: \( m = \frac{y_2 - y_1}{x_2 - x_1} \)

Slope of line passing through P(-3, -2) and Q(2, 3):

Let,

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

\( Q(2, 3) = (x_2, y_2) \)

\( m = \frac{3 -(-2)}{2 -(-3)} \)

\( m = \frac{5}{5} = 1 \)

Slope of line passing through R(10, -1) and S(15, -6):

Let,

\( R(10, -1) = (x_1, y_1) \)

\( S(15, -6) = (x_2, y_2) \)

\( m = \frac{-6 -(-1)}{15 - 10} \)

\( m = \frac{-5}{5} = -1 \)

The product of their slopes = 1 × -1 = -1

Therefore, the lines are perpendicular.

The answer is: B. "Yes. Their slopes have product -1."

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

The difference between the price that DeMarkus thought he should pay and the price that the store charged him is $24

The question provided is incomplete. Here is the complete question : DeMarkus says that a store overcharged him on the price of the video game he bought. He thought the price was marked  1/4 of the original price, but it was really  1/4 off the original price. He misread the advertisement. If the original price of the game was $48 , what is the difference between the price that DeMarkus thought he should pay and the price that the store charged him?  A. $28.50B. $36.00C. $42.50D. $24.00

The first step is to determine the price DeMarkus thought the price of the videogame was = 1/4 of the original price

1/4 x $48 = $12

The second step is to determine the actual discounted price.

Actual discounted price = original price = (1/4 of the price)

48 - (1/4 x $48 = $12)

$48 - $12 = $36

The third step is to determine the difference in the prices

$36 - $12 = $24

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If a is a set of real numbers that is bounded above and b is a set of real numbers that is bounded below, there is at most one real number that can exist in both sets.

A real number is any number that can be expressed as a decimal or fraction and exists on the number line.

If a set of real numbers, represented by a, is bounded above, it means that there exists a real number, represented by M, such that all the numbers in the set are less than or equal to M. Similarly, if a set of real numbers, represented by b, is bounded below, it means that there exists a real number, represented by m, such that all the numbers in the set are greater than or equal to m.

Now, let's consider a real number, represented by x, that exists in both sets a and b. If x exists in a, it must be less than or equal to M and if x exists in b, it must be greater than or equal to m. Hence, x must satisfy both conditions: M >= x >= m.

From these conditions, it can be deduced that M and m must be equal to x. In other words, there can only be one real number that is simultaneously the greatest value in a and the smallest value in b.

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The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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The unit of the rate of change is (b) dollars per month

From the question, we have the following parameters that can be used in our computation:

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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Answer:

yes correct

Step-by-step explanation:

Answer:

b = 20

Step-by-step explanation:

Using the slope-intercept form, y = mx + b, as a reference:

slope = m

y-intercept = b

In your given linear equation, y= 15x + 20:

The slope,  m = 15

And the y-intercept = 20.

The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Therefore, the value of the y-intercept, b, in the given equation is 20.

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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Answer:

Step-by-step explanation:

Its A

Answer:A

Step-by-step explanation:A cylinder with 8 units.

Answer:

\( - 20x - 6 = 36x + 4 \\ 36x + 20x = - 6 - 4 \\ 56x = - 10 \\ x = \frac{ - 10}{56} \\ x = - 0.17571428\)

The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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The length of PQ in circle R is given as follows:

C) 3.14 m.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The radius for the circle in this problem is given as follows:

r = 3 m.

Hence the circumference for the entire circle is given as follows:

C = 2 x 3.14 x 3

C = 18.84 m.

The sector has an angle measure of 60º, while the entire circumference is of 360º. hence the measure of arc PQ is given as follows:

PQ = 60/360 x 18.84

PQ = 3.14 m.

Hence option C is the correct option in the context of this problem.

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Algebraic expression for the given phrase is

\(-4+(3-1)\)

Simplified answer is -2

Given :

The given phrase is  the sum of -4 and the difference of 3 and 1

To find the difference we subtract the numbers

difference of 3 and 1 is 3-1

for the sum we add it

the sum of -4 and the difference of 3 and 1

the sum of -4 and  (3-1)

Now we add it , \(-4+(3-1)\)

Algebraic expression for the given phrase is

\(-4+(3-1)\)

Now we simplify it

\(-4+(3-1)\\-4+(2)\\-2\)

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The value of 57.17 as a mixed number is - 57 17/100.

A mixed number is said to be in its simplest form if its fractional part's highest common factor, or HCF, is 1. When mixed numbers are simplified, the fraction value remains constant. We can say that the simplified mixed number and the actual mixed number are fractions that are equivalent.

A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the proper fraction that results in the mixed number.

In this case, -57.17 will be:

= -57 + (17/100)

= -57 17/100.

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Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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The answer to number 2 is- no it's not a right triangle

the answer to number 3 is- yes it is a right triangle

Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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