17
A student is writing a journal entry for a teacher about moving to a new city. Read the draft of the journal entry and complete the task that
follows.
About six months ago, my mom told me that we are going to move to Arizona to be closer to my grandparents. I do not want to move because I will miss my friends. We have been in school together since first grade. Another thing I wonder about is the weather. Where we live now, we
*have four seasons: a cold and snowy winter, a cool and rainy spring, a warm and sunny summer, and a windy and cool fall. What would it be like having summer all year long?
I talked to my mother about my worries about moving. She told me that there would be many new people for me to meet at my new school. She explained that the new school has a program just for new kids. It helps them get to know their new classmates and the community. She also said that my new school has yearlong clubs, an outdoor swimming pool, and even a skateboarding team. She also reminded me that my grandparents won't be far away.
In one to three paragraphs write an ending to the narrative that follows logically from the events or experiences in the journal entry.

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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The function to determine the number of ants Ryan will have in x number of days can be represented as: f(x) = 12 * 3^x

It should be noted that a function shows the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

The function to determine the number of ants Ryan will have in x number of days can be represented as:

f(x) = 12 * 3^x

where f(x) is the number of ants after x days, and 3^x represents the tripling of the number of ants each day.

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The type of number -5.41 is is an rational number.

A rational number is a number that can be expressed as a fraction of two integers. 5.41 can be expressed as -5.41 / 1000.

An integer and whole number is a number that does not have any fraction or decimal. -5.41 is a decimal number, thus it is not an integer and a whole number.

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There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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Answer:

x=5,4

Step-by-step explanation:

as u got 2 x to find the value of

Rοunding tο the nearest hundredth the answer is D. 2.38 secοnds.

A parabοlic functiοn is a functiοn that can be represented by a quadratic equatiοn οf the fοrm \(f(x) = ax^2 + bx + c\), where a, b, and c are cοnstants and a is nοt equal tο 0.

We can determine the maximum height by finding the vertex οf the parabοlic functiοn \(h(t) = -16t^2 + 76t\).

The t-value οf the vertex is given by -b/2a, where a=-16 and

\(b=76:t = -b/2a = -76/(2*(-16)) = 2.375\)

Sο the maximum height οccurs after 2.375 secοnds.

Hence, Rοunding tο the nearest hundredth the answer is D. 2.38 secοnds.

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For Felipe and Helena's final grades, the solution is option C, [74 71].

Using the given values for Q, T, and P weights and Felipe and Helena's grades, calculate their final grades as follows:

Felipe's final grade:

0.40 x 80 + 0.50 x 60 + 0.10 x 90 = 32 + 30 + 9 = 71

Helena's final grade:

0.40 x 70 + 0.50 x 80 + 0.10 x 60 = 28 + 40 + 6 = 74

To represent the final grades for Felipe and Helena in a matrix F, given formula F = WG, where W = matrix of weights and G = matrix of grades:

[0.40 0.50 0.10]   [80 70]

F = WG = [0.40 0.50 0.10] x [60 80]

[0.40 0.50 0.10] [90 60]

Performing matrix multiplication:

[32 + 30 + 9  28 + 40 + 6]

F = WG = [32 + 40 + 6 28 + 40 + 3]

[36 + 25 + 6 36 + 20 + 3]

Simplifying:

[71 74]

F = WG = [78 71]

[67 59]

Therefore, [74 71] for Felipe and Helena's final grades, respectively.

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Answer:

if you go into your reading lessone on one of the sentences in page 2 or 4 there is the answer hope this helped

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number 1 FALSE

9 * 9 * 3 = 81 * 3 = 243

Number 2 TRUE

7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3

7 * 3 = 3 * 7

21 = 21

Number 3 FALSE

17 * 17 * 17 = 4913

Number 4 FALSE

4 * 1 = 4

Number 5 FALSE

6 + 6 + 6 = 18

Evaluating each expression using the values given in the table :

a. (f ∘ g)(1) = -2

b. (f ∘ g)(-1) = 3

c. (g ∘ f)(-1) = 0

d. (g ∘ f)(0) = -1

e. (g ∘ g)(-2) = 1

f. (f ∘ f)(-1) = 3

Here is the explanation :

To evaluate each expression, we need to substitute the given values into the functions f(x) and g(x) and perform the indicated composition.

a. (f ∘ g)(1):

First, find g(1) = 0.

Then, substitute g(1) into f: f(g(1)) = f(0) = -2.

b. (f ∘ g)(-1):

First, find g(-1) = 1.

Then, substitute g(-1) into f: f(g(-1)) = f(1) = 3.

c. (g ∘ f)(-1):

First, find f(-1) = 1.

Then, substitute f(-1) into g: g(f(-1)) = g(1) = 0.

d. (g ∘ f)(0):

First, find f(0) = -2.

Then, substitute f(0) into g: g(f(0)) = g(-2) = -1.

e. (g ∘ g)(-2):

First, find g(-2) = -1.

Then, substitute g(-2) into g: g(g(-2)) = g(-1) = 1.

f. (f ∘ f)(-1):

First, find f(-1) = 1.

Then, substitute f(-1) into f: f(f(-1)) = f(1) = 3.

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This sample would be considered A. Cluster sample. In a cluster sample, the researcher divides the population into groups or clusters, and then randomly selects some of these clusters to include in the sample.

In this case, the researcher is selecting nine counties as the clusters, and surveying all shoulder surgery patients within those counties. This is different from a stratified sample, in which the population is divided into subgroups or strata based on certain characteristics, and a representative sample is selected from each stratum. It is also different from a convenience sample, in which the researcher simply selects the individuals who are easiest to reach or who happen to be available at the time of the study. And it is different from a simple random sample, in which every member of the population has an equal chance of being selected for the sample.

The missing part in the question is shown below.

A medical researcher surveys all shoulder surgery patients

in each of 9 randomly selected counties in North Carolina.

Which type of sample does this represent?

A. Cluster sample.

B. Stratified sample.

C. Convenience sample.

D. Simple random sample.

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20x -1500 > 3500

company charges $20 per shirt

$1500 = fixed cost

x Is the number of T-shirts. that needed to be sold for the company to meet its goal.

Since x is multiplied by 20 which is the charge per shirt, it is the number of t-shirts ( not profit )

Answer:

I think its right , acute and scalene

Step-by-step explanation:

We can write a proportion to solve

82 guests 91 guests

------------------- = -------------

656 dollars x dollars

Using cross products

82x = 91 * 656

82x =59696

Divide each side by 82

82x/82 = 59696/82

x =728

The party with 91 guests will cost 728 dollars

For question 8, since m∠C = 45 degrees and a = 1.5 in, we can use the 45-45-90 Triangle Theorem to find the length of the hypotenuse. In a 45-45-90 triangle, the length of the hypotenuse is √2 times the length of each leg. Therefore, the length of the hypotenuse is 1.5 * √2 = 2.12 inches (rounded to two decimal places).

For question 9, if the polygon is a regular hexagon with side length s = 4 yds and apothem a = 2√(3), then the area of the hexagon can be found using the formula for the area of a regular polygon: A = (1/2) * P * a, where P is the perimeter of the polygon and a is the apothem. The perimeter of the hexagon is P = 6s = 6 * 4 = 24 yds. Therefore, the area of the hexagon is A = (1/2) * P * a = (1/2) * 24 * 2√(3) = 24√(3) square yards, or approximately 41.6 square yards when rounded to the nearest tenth.

To determine how far above the court the tennis ball is when it leaves the racket, we can use the equation of motion for projectile motion in the vertical direction. Since the ball is struck horizontally, its initial vertical velocity is 0 m/s.

The equation for vertical displacement (Δy) in projectile motion is given by:

Δy = v₀y * t + (1/2) * g * t²

where:

Δy is the vertical displacement

v₀y is the initial vertical velocity

t is the time of flight

g is the acceleration due to gravity (approximately 9.8 m/s²)

Since the initial vertical velocity is 0 m/s, the first term on the right side of the equation becomes 0.

We can rearrange the equation to solve for Δy:

Δy = (1/2) * g * t²

Now, we need to find the time of flight (t). We can use the horizontal distance traveled by the ball to calculate the time of flight:

horizontal distance = v₀x * t

where v₀x is the initial horizontal velocity. Since the ball is struck horizontally, v₀x remains constant throughout its motion.

In this case, the horizontal distance traveled by the ball is 20.3 m and the initial horizontal velocity is 28.8 m/s.

20.3 m = 28.8 m/s * t

Solving for t:

t = 20.3 m / 28.8 m/s ≈ 0.705 s

Now, substitute the value of t into the equation for Δy:

Δy = (1/2) * 9.8 m/s² * (0.705 s)²

Δy ≈ 2.07 m

Therefore, the tennis ball is approximately 2.07 meters above the court when it leaves the racket.

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Answer:

  100

Step-by-step explanation:

You want the number of distinct sequences of 4 letters from the word "problem" that have "l" as the first letter, and not "p" as the last letter.

There are 7 distinct letters in the word "problem". If the first letter of the "words" we're making must be "l", then the remaining three letters of the word are chosen from the remaining 6: "probem".

The number of permutations of 6 things taken 3 at a time is ...

  P(6, 3) = 6!/(6 -3)! = 6·5·4 = 120

That count includes the number that end in 'p'. When "l" is the first letter and "p" is the last letter, the middle two letters are chosen from the 5 "robem". There are 5!/(5-2)! = 5·4 = 20 ways to have words starting with "l" and ending in "p". We don't want to count those, so the number of letter sequences we can make is ...

  120 -20 = 100

100 distinct sequences of 4 letters can be made with first letter "l" and last letter not "p".

As per the given confidence interval, the value of P is lees than significant.

Confidence interval:

In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.

Given,

A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.

Here we need to find the assumptions of the given situation,

From the given question we have identified the following,

Reading of instruments = 353, 351, 351, and 355.

Confidence interval = 90% = 0.09

Number of units = 2.

Based on these details, the standard deviation of this temple is 0.7.

So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.

Therefore, P value was less than significant.

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Answer:

18/25

Step by step explanation:

Answer: 18 cents - 72%

Answer:

A radioactive substance decays to 10g in 40 days

Step-by-step explanation:

the mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 7% per day

Answer:

x = 3

Step-by-step explanation:

6x + 3 = 21

6x = 18

x = 3

Let's Check the answer.

6(3) + 3 = 21

18 + 3 = 21

21 = 21

So, x = 3 is the correct answer.

The required coordinates of D is ( -5, -2) and of E is ( -5, 2) and lastly F= ( 2, -1) .

(x1,y1), (x2,y2), and (x3,y3) are the coordinates of a triangle's vertices (x3,y3). The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.

For example; The unit cube can be defined in this coordinate system with the eight corner points designated (0, 0, 0), (1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 0, 1), (1, 1, 1), and (0, 1, 1). the triangular unit cube in three dimensions.

In the given graph;

we can see that the coordinates of D is ( -5, -2)

and that of the point E is ( -5, 2)
and lastly F= ( 2, -1)

Here we first write the x axis value and then the y axis.

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The simplest form of the given radical expression as required to be determined is; -3³√2a.

As evident form the task content; the given expression whose simplified form is to be determined is;

3 ³√2a - 6 ³√2a

Since; 3³√2a is common to both terms of the expression; Hence, by factorisation; we have;

3³√2a (1 - 2)

= 3³√2a • -1

= -3³√2a

Ultimately, the simplified form of the radical expression is; -3³√2a.

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Answer:

{x = -2, y = -1

Step-by-step explanation:

Solve the following system:

{-3 y + 8 x = -13

5 y - 3 x = 1

Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{-3 y + 8 x = -13

5 y - 3 x = 1

Isolate terms with x to the left-hand side.

Add 3 y to both sides:

{8 x = 3 y - 13

5 y - 3 x = 1

Hint: | Solve for x.

Divide both sides by 8:

{x = (3 y)/8 - 13/8

5 y - 3 x = 1

Perform a substitution.

Substitute x = (3 y)/8 - 13/8 into the second equation:

{x = (3 y)/8 - 13/8

5 y - 3 ((3 y)/8 - 13/8) = 1

Expand the left-hand side of the equation 5 y - 3 ((3 y)/8 - 13/8) = 1.

5 y - 3 ((3 y)/8 - 13/8) = 5 y + (-(9 y)/8 + 39/8) = (31 y)/8 + 39/8:

{x = (3 y)/8 - 13/8

((31 y)/8 + 39/8) = 1

Choose an equation and a variable to solve for.

In the second equation, look to solve for y:

{x = (3 y)/8 - 13/8

(31 y)/8 + 39/8 = 1

Isolate terms with y to the left-hand side.

Subtract 39/8 from both sides:

{x = (3 y)/8 - 13/8

(31 y)/8 = -31/8

Solve for y.

Multiply both sides by 8/31:

{x = (3 y)/8 - 13/8

y = -1

Hint: | Perform a back substitution.

Substitute y = -1 into the first equation:

Answer: {x = -2, y = -1

Answer:

0 ≤ y ≤ 7

Step-by-step explanation:

Hey there! :)

Please see an explanation for better understanding, and let me know if you have any questions!

Range in Function means set of all y-values. We know by the graph that y-value is a vertical value while x-value is horizontal value. From the graph, we have y-axis which is vertical line and x-axis which is horizontal line.

For this question, I would like you to focus on y-value instead, at best, only. That is because we are finding the range, as said above that range is the set of all y-values.

To find the range in graph, first, you must understand that range starts from minimum point/value to maximum point/value. Therefore, we will have to find y-values for both points and combine the interval.

From the graph, we see that there are two points given which are (-6,0) and (9,7). Since (-6,0) is the minimum point because below y = 0, there exists no values. On the other hand, (9,7) is our maximum point because above y = 7, there exists no values.

Focus only y-values, for both points, we have y = 0 and y = 7. Since range is minimum < y < maximum - for opened dots of both points or minimum ≤ y ≤ maximum - for closed dots for both points.

In case if you don’t know what opened dots and closed dots are. Opened dots are white dots while closed dots are colored dots, usually dark ones.

Thus, from the y-values of both point, our range is 0 ≤ y ≤ 7

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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Answer:

x=3 and 9

Step-by-step explanation:

; x-3=0

x=3 (change side change mark)

and

\( \frac{2}{3} x - 6 = 0\)

\( \frac{2}{3} x = 6\)

\(x = 6 \times \frac{3}{2} \)

change side change mark.

So, x=9

If u wanna check the answer you can check by substitution x=3 and 9 in equation.

hope it helps you ☺️

9514 1404 393

Answer:

  A

Step-by-step explanation:

The unit rate in scenario A is 7, not 6, so it is inappropriate to use the equation 6x -7 = 29 for that scenario.

Situation A cannot be properly represented by the given equation.