Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yards. if they share the job equally, how many square yards of the flower bed will each child need to weed? use a tape diagram to show your thinking

We can infer that the point (8, -15) was reflected over the y-axis to (-8, -15) based on the change in the x-coordinate while the y-coordinate stays the same.

The y-axis reflected the point (8, -15) over to (-8, -15).

The x-coordinate changes its sign but the y-coordinate stays the same when a point is mirrored over the y-axis.

In this instance, the y-coordinate, -15, remains constant but the x-coordinate, 8, of the original point changes to -8 in the reflected point.

This shows that the y-axis is where the reflection took place.

Imagine a coordinate plane with the x-axis running horizontally and the y-axis running vertically in order to see this.

As a vertical mirror, the y-axis reflects points on either side of it.

When a point crosses the y-axis in reflection, it effectively flips to the other side of the axis while keeping its y-coordinate.

In this case, the point (8, -15) is initially situated in the positive x-direction on the right side of the y-axis.

After reflection, it becomes (-8, -15) and appears on the left side of the y-axis in the negative x-direction.

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Answer:

The point is reflected to the Y-axis. It can be either A or B, but I mostly positive it's A.

Step-by-step explanation:

Good luck on the final module exam! I'm counting on you.

From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

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Answer:

\(\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }\)

Step-by-step explanation:

\(\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }\)

\(=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}\)

\(=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}\)

\(\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }\)

\(=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }\)

\(=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }\)

\(=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }\)

\(=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }\)

\(=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }\)

\(=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }\)

Remark:

You can simplify moreover if you want to.

Answer: See explanation

Step-by-step explanation:

3.) 140 and its supplementary angle form a straight line, basically, they sum up to 180°. That angle is y

y + 140 = 180

Subtract both sides by 140

y = 40°

Seems both angles are congruent since they have the same label.

y + x + x = 180°

40 + 2x = 180

Subtract both sides by 40

2x = 140

Divide both sides by 2

x = 70°

4.) The missing angle = y

2x - 14 + 3x + 2 + y = 180

5x - 12 + y = 180

Subtract 5x from both sides

-12 + y = - 5x + 180

Add 12 to both sides

y = -5x + 180 + 12

y = -5x + 192

3x + 2 + 2x - 14 - 5x + 192 = 180

3x + 2x - 5x + 2 - 14 + 192 = 180

0 + 180 = 180

180 = 180

That's correct I guess.

5.) Missing angle = y

2x + 8 + 5x + y = 180

7x + 8 + y = 180

Subtract 7x from both sides

8 + y = -7x + 180

Subtract 8 from both sides

y = -7x + 180 - 8

y = -7x + 172

2x + 8 + 5x - 7x + 172

2x + 5x - 7x + 8 + 172 = 180

0 + 180 = 180

180 = 180

I.. think that's correct..?

6.) Missing angle = y

134 + y = 180

Subtract 134 from both sides

y = 46°

x + 46 + 22 = 180

x + 68 = 180

Subtract 68 from both sides

x = 112°

#4 and #5 were honestly sooo confusing. I just did whatever but I hope this is correct lol.

Answer:

Says your in college-

Step-by-step explanation:

Answer:

what are you supposed to put on the first 2 lines

Step-by-step explanation:

or do you just put the solution?

The worst case complexity for the algorithm is O(n²)

In the worst case, every time we call the function findmin(list)

where list of length n, it will take  O(n)  operations.

For simplicity we can assume it will take n operations.

Since in each call , list decreases in one element  until it is finally empty.

the number of operations in the while loop is:

n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2

Therefore the worst case complexity for the algorithm is O(n²).

Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.

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Answer:

1244 DCD

Step-by-step explanation:

The blanks that are missing in the sequence are -3 and 11

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

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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Answer:

36

Step-by-step explanation:

A (base) 6

B (Base) 12

H (height) 4

the answer for this is 84915

Step-by-step explanation:

xcds ×9= $y

let x represent the number of cds mario bought

y represents the total amount he bought

1. The Fill ups are as follow:

AB² +  BC² = AC. AD + AC. CD

2. Segment addition postulate

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

BC/ AC = CD/ BC and AB/ AC = AD/ AB

Now, BC² = AC. CD  and AB² = AC. AD

Using, Addition Property of Equality

AB² +  BC² = AC. AD + AC. CD

and, AB² +  BC² = AC (AD + CD)  [factor]

AD + CD = AD (segment addition postulate)

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PLATO

i got it correct :)

Answer:

23

Step-by-step explanation:

First step:

Find the important variables.

total amount of tea=92

percent caffeinated=25

Second step:

Convert percentage to decimal.

25%=0.25

Third step:

Build equation and solve.

92•0.25=23

There were 23 caffeinated teas sold in total.

Answer: A

because slope are

Answer:

A

Step-by-step explanation:

Answer:

The prime factorization of 16 is: 2 x 2 x 2 x 2

The prime factorization of 36 is: 2 x 2 x 3 x 3

Step-by-step explanation:

The prime factors and multiplicities 16 and 36 have in common are: 2 x 2

2 x 2 is the gcf of 16 and 36

gcf(16,36) = 4

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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The probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered is 0.810.

As per the question an online customer service department estimates that about 15 percent of callers have to wait more than 8 minutes to have their calls answered by a person.

The department conducted a simulation of 1,000 trials to estimate the probabilities that a certain number of callers out of the next 10 callers will have to wait more than 8 minutes to have their calls answered.

The simulation is shown in the following histogram(graph provided at the end of solution)

Based on the simulation, according to the bar graph , probability of at most 2 callers out of next 10 callers getting awaited by more than 8min is

P(x≤2) = P(0)+P(1)+P(2) {x is number of persons)

= 0.181+0.345+0.284= 0.810

So required probability is 0.810.

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Therefore , the solution of Inverse function comes out to be of x-20 equals to x+20

A function f has an inverse function only if for every y in its range there is only one value of x in its domain for which f(x)=y. This inverse function is unique and is frequently denoted by f−1 and called “f inverse.” For an overview into the idea of an inverse function, see the function machine inverse.Steps for finding the inverse of a function fReplace f(x) by y in the equation describing the function. Interchange x and y. In other words, replace every x by a y and vice versa.

Here,

Solve for y.

Replace y by f-1(x).

y=x-20

x=y-20

Solve for y,x = y-20

x+20

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Answer:

ƒ^(-1)(x) = x + 20

Step-by-step explanation:

To find the inverse of the function ƒ(x) = x - 20, we need to switch the roles of x and y and solve for y.

Let's start by replacing ƒ(x) with y:

y = x - 20

Next, swap x and y:

x = y - 20

Now, solve for y by isolating it:

x + 20 = y

Therefore, the inverse of the function ƒ(x) = x - 20 is given by:

ƒ^(-1)(x) = x + 20

There are 260 sunflowers  when there were 5 daisies and 100 roses

Given :

the number of daisies varied inversely as the number of sunflowers and directly as the number of roses.

Let 'd' be the daisies  and 's' be the sunflowers  and 'r' be the roses

Daises varies inversely as sunflowers and directly as roses

So, the equation becomes \(d=\frac{k(r)}{s}\)

where k is the constant

Lets find out 'k' using the given information

When there 65 daisies, there were 15 roses and 3 sunflowers

d=65, r=154 and s=3. Replace the values and find out k

\(d=\frac{k(r)}{s}\\65=\frac{k(15)}{3} \\65=5k\\Divide \; by \; 5\\k=13\)

Replace k with 13 in the equation

\(d=\frac{k(r)}{s}\\d=\frac{13(r)}{s}\)

Now we find out number of sunflowers using the above equation

d=5  and r=100 . Replace the values and find out 's'

\(d=\frac{13(r)}{s}\\5=\frac{13(100)}{s}\\5=\frac{1300}{s} \\multiply \; by \; s\\5s=1300\\divide \; by \; 5\\s=260\)

There are 260 sunflowers  when there were 5 daisies and 100 roses

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Answer:

...

Step-by-step explanation:

its 1/2

5/10 in simplest form is 1/2

so this is how long she took as a fraction...

Answer:

  21

Step-by-step explanation:

Given 11 blue, 14 black, and 8 grey pencils, you want the minimum number of pencils that will guarantee you have 2 black pencils.

There are 11 +8 = 19 pencils that are not black. If Elias happened to draw all of those first, he would need to draw 2 more to guarantee he has 2 black pencils.

Elias needs to pick 19+2 = 21 pencils to ensure at least 2 are black.

Answer:

Why did Elias wake up in the middle of the night in the first place and go to find colour pencils?

Anyways the answer would be 21 colour pencils.

Step-by-step explanation:

Elias would need to pick up 21 colour pencils to ensure he would get at least 2 black pencils because if you added up the number or blue pencils and grey pencils you would get 19. Then you would add 2 for the minimum amount black colour pencils (at least to ensure you got at least 2).

We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.

To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:

n = [(z*sigma)/E]^2

Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)

We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:

n = [(1.96*12)/4]^2
n = 169.64

Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.

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The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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The term of highest degree is given as 3x⁴,and it has a positive coefficient. The upper bound is +∞.

To determine the degree of a polynomial just observe the highest power of the given variable.

We have polynomial given by f(x) = 3x⁴ - 7x³  +5x -3

Here we can see that it is a polynomial in of degree 4.

We know that a polynomial of degree has n number of roots so it is obvious a polynomial of degree 4 has 4 roots.

The function that tends to infinity as x goes in both the positive and negative directions.

The term of highest degree is given as 3x⁴,and it has a positive coefficient.

The upper bound is +∞.

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-8n +26

I think so I remember doing this.

Answer:

10y+10

Step-by-step explanation:

5(2y+2)

5x2y=10

5x2=10

Answer:

10y+10 Is the answer.

just multiply 5 By whats in the bracket

Answer:

24

Step-by-step explanation:

3+2=5

5u-> 60

1u->12

2u-> 24

Answer:

I believe it is D

Answer:

  The sum of 3 and the quotient of y and 2.

Step-by-step explanation:

The order of operations requires that you evaluate the expression ...

  3 + y ÷ 2

by first performing the division, then the addition. So, the addition gives you the sum of 3 and a quotient, because the quotient must be evaluated first.

The quotient is of y and 2 (not 2 and y), because the wording "the quotient of a and b" is always interpreted to mean a÷b.

So, the expression can be described as ...

  the sum of 3 and the quotient of y and 2.