Can someone help me please

Can Someone Help Me Please

Answers

Answer 1

Answer:

D

Step-by-step explanation:

as we can easily see, the x-coordinates of all points increased by 7.

so, we need a solution with "x+7". that eliminates B and C.

with that transition (glide) the triangle moved to the right into the 4th quadrant.

and now, as a second step, it needs to move up, above the x-axis, into the 1st quadrant.

and that is a reflection across the x-axis.

a reflection across the y axis would bring it back into the 3rd quadrant, where it started.

so, it is D.

Answer 2
It’s option D…… hope it’s helps

Related Questions

Help me pleaseeeeeee

Help me pleaseeeeeee

Answers

The answer is Radius
4th one is the answer

Maria wants to make a scale drawing of her room. The scale is 2cm=1foot.
Her room is 14ft long by 12feet wide
Write a PROPORTION for this problem

Answers

The proportion for the problem is 28 cm by 24 cm

Writing a proportion for the problem

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

Scale: 2 cm = 1 foot

Also, we have

Dimensions = 14 ft by 12 ft

using the above as a guide, we have the following:

Scale dimensions = 2 * 14 cm by 12 * 2 cm

Evaluate

Scale dimensions = 28 cm by 24 cm

Hence, the proportion is 28 cm by 24 cm

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TAssessmc Tools
12. Mrs. Melissa is purchasing Supplies for her classroom. She spent $3.50 for 25 erasers. At this rate
how much does 1 eraser cost, in dollars and cents?
Use the boxes below to plan your answer. Make sure that you record your final answer by typing in
the box provided on the online answer sheet.
Positive values CANNOT have a (+) sign in Edugence.
Negative values MUST have a (-) sign in Edugence.
(2011.0
+/-

Answers

Answer:

45.67+23.12=87.56!!!

X is the # of inches of rain in the Grove on a gameday (assume only whole numbers)
F(x)---0.50 when x =0 inches
0.20 when x=1 inches
0.15 when x=2 inches
0.50 when x=3 inches
0.05 when x=4 inches
0 otherwise
1.) Calculate the expected number of inches of rain in the grove?
2.)Calculate the standard deviation of the inches of rain in the grove, Var(x) (4 digits)
3.) Calculate the Standard deviation of the inches of rain in the grove SD(x)
4.)

Answers

The expected number of inches of rain in the Grove is 2.20 inches. The variance of the inches of rain in the Grove is 3.2354. The standard deviation of the inches of rain in the Grove is approximately 1.7982.

1.) The expected number of inches of rain in the Grove can be calculated by multiplying each value of x by its corresponding probability and summing them up:

Expected value = (0 * 0.50) + (1 * 0.20) + (2 * 0.15) + (3 * 0.50) + (4 * 0.05) = 0 + 0.20 + 0.30 + 1.50 + 0.20 = 2.20 inches

The expected number of inches of rain in the Grove is 2.20 inches.

2.) To calculate the variance (Var(x)) of the inches of rain, we need to find the squared differences between each value of x and the expected value, multiplied by their probabilities, and sum them up:

Var(x) =\((0 - 2.20)^2\) * 0.50 + \((1 - 2.20)^2\) * 0.20 + \((2 - 2.20)^2\) * 0.15 + \((3 - 2.20)^2\) * 0.50 + \((4 - 2.20)^2\) * 0.05

    = 4.84 * 0.50 + 1.44 * 0.20 + 0.0400 * 0.15 + 0.7225 * 0.50 + 2.7225 * 0.05

    = 2.42 + 0.288 + 0.006 + 0.36125 + 0.136125

    = 3.235375

The variance of the inches of rain in the Grove is 3.2354 (rounded to 4 digits).

3.) The standard deviation (SD(x)) is the square root of the variance:

SD(x) = sqrt(Var(x)) = sqrt(3.235375) = 1.7982

The standard deviation of the inches of rain in the Grove is approximately 1.7982.

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Hue is arranging chairs. She can form 2 rows of a given length with 4 chairs left over, or 9 rows of that
same length if she gets 10 more chairs. Complete the equation and solve it to find how many chairs are in
that row length. In your equation, use the variable x to represent the number of chairs in each row.
The equation is
There are
chairs in each row.

Answers

Answer:

9x-10= 2x+4

x=2

Step-by-step explanation:

1. How many terms are in the expression
4a + a² + 6a²?
A 3
B 4
C 5
D 7

Answers

Answer: A.3

Step-by-step explanation:

there are 3 terms in the expression.

2017b "Courage is not the absence of fear, but rather the judgment that something else is more important than one's fear."
—Ambrose Hollingworth Redmoon
Choose a work of fiction in which a character makes a judgment
that "something else" is more important than fear. Then, in a well-written essay, analyze how the complexity of that judgment reveals the character's dreams, goals, or values and contributes to an interpretation of the work as a whole.

Answers

Her journey highlights the importance of individual agency and the pursuit of justice in a world that is often cruel and unforgiving.

In George R.R. Martin's A Song of Ice and Fire series, Arya Stark is a character who repeatedly demonstrates the courage to act despite her fear. In particular, her decision to leave her family and pursue her own goals reveals the complexity of her judgment and her strong values of independence and justice.

Throughout the series, Arya experiences numerous traumatic events that could have easily left her paralyzed with fear. However, she consistently chooses to confront her fears head-on and take action in pursuit of her goals. For example, when her father is executed in front of her, Arya does not simply run away or hide. Instead, she watches and learns from the experience, using it as motivation to become stronger and seek revenge against those who have wronged her family.

One of the most significant moments in Arya's character arc is when she decides to leave her family and begin training as an assassin. Despite her love for her family, Arya realizes that she will never be able to achieve her goals of justice and revenge by staying with them. Her decision to leave shows a deep understanding of her values and priorities, and a willingness to put those things ahead of her own fears and desires.

Furthermore, Arya's journey to becoming an assassin reveals the complexity of her judgment. She does not simply blindly follow orders or embrace the violent culture of the Faceless Men. Instead, she learns to use her skills for her own purposes, such as avenging her family and protecting the innocent. Her commitment to justice and independence is a driving force behind her decisions and actions.

Overall, Arya's courage in the face of fear is a key aspect of her character and contributes to a larger interpretation of the series. Her decision to leave her family and pursue her own goals shows a complex judgment that reflects her values and priorities. Through her actions, Arya embodies the idea that courage is not simply the absence of fear, but rather a willingness to prioritize something else above that fear. Her journey highlights the importance of individual agency and the pursuit of justice in a world that is often cruel and unforgiving.

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wave interference that results in greater wave amplitude is called_____.

Answers

Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

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f(x) = 16x², x ≤0 find the inverse

Answers

The inverse of the function f(x) = 16x² is equal to y = (√x)/4.

What is an inverse function?

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;

f(x) = y = 16x²

x = 16y²

By dividing both sides of the function by 16, we have the following:

y² = x/16

y = √(x/16)

y = (√x)/4

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(›)
Which is more, 1 tablespoon or 2 teaspoons?

Answers

Answer: 1 tablespoon

Step-by-step explanation:

an iterative algorithm will usually run faster than an equivalent recursive algorithm. true or false

Answers

True, an iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because iterative algorithms use loops to repeat a set of instructions, whereas recursive algorithms call themselves repeatedly until they reach a base case.


An iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because recursive algorithms often involve function calls, which have overhead costs such as saving and restoring the call stack. In contrast, iterative algorithms use loops and do not require the same overhead, making them more efficient in terms of both time and memory usage.

However, it's important to note that some problems may be more elegantly or intuitively solved using recursion, even if it's less efficient. The repeated function calls in a recursive algorithm can lead to slower performance and higher memory usage compared to the more direct approach of an iterative algorithm.

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Which of following statement(s) on the measure of central tendency is(are) true to have a more realistic picture of a typical salary.

Answers

To have a more realistic picture of a typical salary, the following statement(s) on the measure of central tendency can be true:

1. Median: The median is the middle value in a dataset when the data is arranged in ascending or descending order. It is a suitable measure of central tendency for salaries when there are extreme values or outliers present. The median is less affected by extreme values compared to the mean, making it a more robust measure.

2. Mode: The mode represents the most frequently occurring value in a dataset. If there are specific salary ranges or categories that occur more frequently, identifying the mode can provide insight into the typical salary category.

Both the median and mode can help provide a more realistic picture of a typical salary, especially when the data has a skewed distribution or contains outliers. The mean (average) is also commonly used as a measure of central tendency, but it can be influenced by extreme values and may not accurately represent a typical salary when there are significant variations in the dataset.

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To have a more realistic picture of a typical salary, it is important to consider the measure of central tendency. The measure of central tendency is a statistical measure that represents the typical or central value in a dataset. Here are some statements that are true regarding the measure of central tendency:

1. The mean: This is the most commonly used measure of central tendency. It is calculated by summing up all the values in a dataset and dividing it by the total number of values. The mean provides a good representation of the typical salary when the dataset is normally distributed and does not have extreme outliers. For example, if we have salaries of $30,000, $40,000, $50,000, $60,000, and $100,000, the mean salary would be $56,000.

2. The median: The median is the middle value in a dataset when the values are arranged in ascending or descending order. It divides the dataset into two equal halves. The median is a more robust measure of central tendency because it is not affected by extreme values or outliers. For example, if we have salaries of $30,000, $40,000, $50,000, $60,000, and $100,000, the median salary would be $50,000.

3. The mode: The mode is the value that appears most frequently in a dataset. It can be used to identify the most common salary category. For example, if we have salaries of $30,000, $40,000, $40,000, $50,000, $60,000, and $100,000, the mode salary would be $40,000.

To have a more realistic picture of a typical salary, it is recommended to consider multiple measures of central tendency together. By looking at the mean, median, and mode, you can gain a more comprehensive understanding of the distribution and variability of salaries in a dataset. Additionally, it is important to consider the context of the dataset and any potential biases or limitations that may affect the accuracy of the measures of central tendency.

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0.52 X 2.1 =
Help i don’t understand

Answers

Answer:

1.092

Step-by-step explanation:

The vertices of a rectangle are at (−4, 2), (3, 2), (3, −2), and (−4, −2).


What is the length of the longer side of the rectangle?

Answers

Answer:

  7 units

Step-by-step explanation:

You want the length of the longer side of the rectangle defined by the coordinates (−4, 2), (3, 2), (3, −2), and (−4, −2).

Side length

When you plot the points, or simply consider the coordinates, you see the sides of the rectangle are vertical and horizontal line segments.

The length of a vertical segment is the difference of its endpoint y-coordinates:

  2 -(-2) = 4

The length of a horizontal segment is the difference of the x-coordinates of its endpoints:

  3 -(-4) = 7

The longer side is 7 units long.

The vertices of a rectangle are at (4, 2), (3, 2), (3, 2), and (4, 2).What is the length of the longer

If it costs $16 for 2 lbs, what is the unit rate? AKA what is the cost per pound?

Answers

Answer: $8 per pound

Step-by-step explanation: 16/2=8

We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conversions). Don’t forget to show your work.

Answers

Answer: 722.5792 square centimeters

Work Shown:

\(112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\\)

Notes:

1 inch = 2.54 cm exactlyThe conversion factor \(\frac{2.54 \text{ cm}}{1 \text{ in}}\) is used to convert from inches to cm. The inches unit in the denominator cancels with one of the inches unit from the original 112 square inches figure.We use two identical copies of the same conversion factor to convert from square inches to square centimeters. This is the "multple conversion" your teacher is referring to.Think of "square inches", aka \(\text{in}^2\), as "inches times inches". Or think of a 1 inch by 1 inch square that has an area of 1 square inch. The same applies for the square centimeter unit as well.

How can you use what you know about 5(2) to find 5(-2)?
Please help

Answers

Answer:

-10

Step-by-step explanation:

5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)

A nurery owner buy 7 pane of gla to fix ome damage to hi greenhoue. The 7 pane cot ​$20. 65. ​Unfortunately, he break 2 more pane while repairing the damage. What i the cot of another 2 pane of​ gla?

Answers

The cost of another 2 panes of glass cost = $5.90.

A nurery owner buy 7 pane of glass to fix some damage to his greenhoue.

The 7 pane cost = ​$20. 65

First find the cost of one pane of glass (the "unit cost")

7 panes of glass cost $20.65, so one pane of glass costs

= 20.65 ÷ 7

= $2.95 ← cost of one pane of glass

Then use that answer to find the cost of two panes of glass

If one pane of glass costs $2.95, then 2 panes cost

= 2 × $2.95

= $5.90 ← cost of two panes of glass

Hence the answer is the cost of another 2 panes of glass cost = $5.90.

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write two statements of inequality please!

Answers

Can’t see the picture

Answer:

a. A number c is less than 4. A number c is less than 4. c. < An inequality is c < 4.

b. A number k plus 5 is greater than or equal to 8. A number k plus 5 is greater than or equal to 8. k + 5. ≥ ...

Step-by-step explanation:

Find the distance between the pair of parallel lines with the given equations.

y=−5x

y=−5x+26

Answers

The distance between the two parallel lines is 26 units

What is are parallel lines?

Parallel lines are lines that do not meet or intersect.

If y = mx +c as the equation of a straight line

For the line y = -5x

comparing with the standard equation of a line,

y = -5x has no y-intercept, so the coordinates of the point is (0,0)

For the second line y = -5x + 26

comparing with the standard equation

The y-intercept is 26, which means the coordinates of the point is (0, 26)

The distance between these two points is the distance between the two lines.

Formula for distance between two point,

D = \(\sqrt{(y_{2} -y_{1}) ^{2} + (x_{2} - x_{1}) ^{2} }\)

D = \(\sqrt{(26-0)^{2} + (0-0)^{2} }\)

D = 26 units

In conclusion, the distance between the two parallel lines is 26 units

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10, 16, and 5 cm with an error in measurements of Suppose the length, width, and height of a box are measured respectively as at most 1 mm. Use differentials to estimate the maximum error in the calculated volume of the box.

Answers

The volume of the box is given by:

V = lwh

where l = 10 cm, w = 16 cm, and h = 5 cm.

The differential of V with respect to l is:

dV = (wh)dl + (lh)dw + (lw)dh

The differential of V with respect to w is:

dV = (lh)dw + (lw)dh + (wh)dl

The differential of V with respect to h is:

dV = (lw)dh + (wh)dl + (lh)dw

Using the maximum error of 1 mm for each measurement, we have:

dl = 0.1 cm

dw = 0.1 cm

dh = 0.1 cm

Substituting these values into the differentials above, we get:

dV ≈ (wh)(0.1) + (lh)(0.1) + (lw)(0.1)

dV ≈ (16 cm x 5 cm)(0.1) + (10 cm x 5 cm)(0.1) + (10 cm x 16 cm)(0.1)

dV ≈ 8 cm^2 + 5 cm^2 + 16 cm^2

dV ≈ 29 cm^2

Therefore, the maximum error in the calculated volume of the box is approximately 29 cm^3.

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What is the answer I got it wrong someone pls help

What is the answer I got it wrong someone pls help

Answers

Answer:

Step-by-step explanation:

1st one

Which property justifies "Step 4"
Which property justifies "Step 4" in the proof below?
a. )45= m_B
b.) m B = 45
3) Substitution
4)?

Answers

The property justified by step 4 is after substitution in the equation you get the desired result.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data in the question,

In step 3 substitution of value is taking place.

In step 4 when values are substituted the final result is obtained, so step 4 is the result step.

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Approximately 38 percent of people living in Region W have the blood type O positive. A random sample of 100 people from Region X revealed that 35 people in the sample had the blood type O positive. Consider a hypothesis test to investigate whether the percent of people in Region X with O positive blood is different from that of in Region W. Which of the following is the appropriate null hypothesis for the investigation?

Answers

Answer:

Step-by-step explanation:

p = .38

Find The Lcm of 70x³z, 45y⁴z²​

Answers

To find the LCM (Least Common Multiple) of 70x³z and 45y⁴z², we need to factor each expression into its prime factors:

70x³z = 2 * 5 * 7 * x * x * x * z
45y⁴z² = 3 * 3 * 5 * y * y * y * y * z * z

Then, the LCM is the product of the highest powers of all the primes involved. Specifically, we need to include all the primes that appear in either factorization and take the highest power of each.

So, the LCM of 70x³z and 45y⁴z² is:

LCM = 2 * 3 * 3 * 5 * 7 * x³ * y⁴ * z²
LCM = 2 * 3² * 5 * 7 * x³ * y⁴ * z²
LCM = 1890x³y⁴z²

Therefore, the LCM of 70x³z and 45y⁴z² is 1890x³y⁴z².

HELPPPPPP!!!!Will (-2)2 and -22 have the same solution?
Why or why not?

Answers

Answer:

Yes they would be because 2^2 or 2x2 =4 and -2^2 or -2x-2 also equals four because a neg x a neg equals a pos

Step-by-step explanation:

One side of a triangle is one-fourth the longest side. The third side is 14 feet less than the longest side. The perimeter is 139 . Find all three sides

Answers

We get the sides of the triangle as 33, 8.25, and 19.

Given that One side of a triangle is one-fourth the longest side. Third side is 14 feet less than the longest side Perimeter of triangle is 139.We have to find all the three sides of a triangle.

Let the longest side of the triangle be x,

Then one side will be x/4Third side will be x - 14Perimeter = sum of all sides of a triangle Perimeter of triangle

= x + x/4 + x - 14 = (5x + x - 56)/4

= (6x - 56)/4 = 139Multiplying both sides by 4,6x - 56 = 139 x

= (139 + 56)/6 = 33

Therefore, Longest side of the triangle = 33Length of the second side of the triangle = (1/4) × 33 = 8.25Length of the third side of the triangle = 33 - 14 = 19

Now, to check whether the given side lengths make up a triangle or not, we will apply triangle inequality theorem.

Sum of any two sides of the triangle is always greater than the third side. If it holds true for all three sides then the given side lengths make up a triangle.

Let's check for the given sides33 + 8.25 > 19  Yes33 + 19 > 8.25  Yes19 + 8.25 > 33  Yes

Therefore, the given side lengths make up a triangle. Hence, the sides of a triangle are 33, 8.25 and 19. The given problem is related to the lengths of the sides of a triangle.

We are given the relationship between the lengths of two sides of the triangle and the relationship of the third side with the longest side of the triangle.

Also, the perimeter of the triangle is also given. We have to find the three sides of the triangle. To solve the given problem, let the longest side of the triangle be x.

Then, the other two sides will be x/4 and x - 14.

The perimeter of the triangle is the sum of all three sides, i.e., x + x/4 + x - 14.

Putting the values and equating it to 139, we can solve for x. We get x = 33.

Then we can easily calculate the other two sides, which will be 8.25 and 19.

We have to check whether the given side lengths make up a triangle or not by applying the triangle inequality theorem.

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80 points
Question 1(Multiple Choice Worth 4 points)
(07.01)

Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29?

{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}
Question 2(Multiple Choice Worth 5 points)
(07.04)

Fraction 3 over 4x = Fraction 1 over 5. x = ___?

3Fraction 3 over 4
Fraction 11 over 20
Fraction 4 over 15
Fraction 3 over 20
Question 3(Multiple Choice Worth 5 points)
(07.03)

Jen bought a cinnamon bun for $3.42 and a giant candy cane for $5.76. She then used the rest of her money to buy a notebook. She spent a total of $12.83. How much money did Jen spend on the notebook?

$9.41
$7.07
$3.65
$2.34
Question 4(Multiple Choice Worth 4 points)
(07.03)

Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game. Bobbi earned 6 points and Kate earned 3 points. Which of the following equations can be used to determine how many points Rebecca earned?

6 + 3 + n = 12
3x + 6 = 12
6 + 3 = 12 + n
6x + 3 = 12
Question 5 (Essay Worth 6 points)
(07.04)

Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.

Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.

Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.



Question 6 (Essay Worth 6 points)
(07.02)

Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Larry has earned Saturday and Sunday.

Part B: Larry was able to walk 4 more than twice as many dogs as his friend Kyle. Write an algebraic expression to represent the number of dogs Larry walked compared with Kyle.


I already answered 3 and 4

Answers

Answer step-by-step explanation:

solution set is { 3,4 }

4/15

3.65

n=9

5x + 4 < 29

5x < 29 - 4

5x < 25

x < 25/5

x < 5

solution set is { 3,4 }

Simple math

1. 3.42 + 5.76 = 9.18

2. 12.83 - 9.18 = 3.65

3.65 would be the cost of the notebook Jen bought

Given that Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game.

If n is the unknown point made by Rebecca then we get

total = 12

Bobbi earned = 6 points

Kate earned = 3 points

Total = 6+3+n =12

So answer is

6+3+n=12

n=9

I guess that this would work for these Part A.....let x be the amount he earned on Sunday.....so

Amount earned on Saturday + amount earned Sunday =

11 + x =

Represents the total amount he earned

Part B

Let N be the number of dogs that Kyle walked

Then, Larry walked 2N + 4 dogs

Then you can also do.....

Anything given that is not a definite number and has phrases like "does not know", "is looking for" will most likely indicate that it is the variable. We can represent the no. of desserts with the variable x like most equations do.

An expression representing how many strawberries will be needed in x desserts: 4x The variable "x" represents the number of desserts Heather will make.

In part B, we are given the ounces of strawberries Heather will be using. With the expression above, we can make an equation out of it. 4x = 24 With "x" of desserts, Heather is making, all we have to do is solve for the value of "x" to find the no. of desserts she will make with 24 ounces of strawberries. Divide both sides by 4. x = 6 She can make 6 desserts with 24 ounces of strawberries.

A number cube was rolled as part of an experiment. The results are displayed in the table below.
Number
1 2 3 4 5 6
Frequency
4 6 5 7 3 5
What is the best explanation of how to find the experimental probability of rolling a 3?

A To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.
B To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary
C. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary.
D To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.

Answers

The experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.

Given data ,

A number cube was rolled as part of an experiment

And , results are displayed in the table below

Number    Frequency     Probability

1                      4                    0.13

2                      6                   0.20

3                      5                   0.17

4                      7                   0.23

5                      3                   0.10

6                      5                   0.17

Total                30                 1.00

Now , the likelihood of an event occurring based on the outcomes of an experiment or trial is known as experimental probability. It is determined by dividing the frequency of a certain event by the total number of trials or tests carried out

Hence , to find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary

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Calculate the rate of change for the quadratic function over the given interval: f\left( x \right) = {x^2} + 4x + 5;\; - 1 \le x \le 2f(x)=x 2 +4x+5;−1≤x≤2 1 5 2 -4

Answers

Answer: The rate of change is 5.

Step-by-step explanation:

Our equation is:

f(x) = x^2 + 4x + 5

And we want to find the rate of change in the range −1≤ x ≤2

when we want to find the rate between x1 ≤ x ≤ x2

we have:

Rate = (f(x2) - f(x1))/(x2 - x1)

So we have:

Rate = ( f(2) - f(-1))/(2 - 1)

Rate = (2^2 + 4*2 + 5 - (-1)^2 - 4*(-1) - 5)/3 = 15/3 = 5

The rate of change is 5.

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