You start at (4,4). You move up 1 unit and left 7 units. Where do you end?

1: no solution

2: infinitely many solutions

3: one solution

Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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No the confidence interval does not provide convincing evidence that the two population proportions are equal.

No. Because the interval contains 0, there is not convincing evidence that the two population proportions are equal. A confidence interval provides a range of plausible values for a population parameter based on a sample. If the interval contains 0, it means that there is some overlap between the two population proportions and that the difference between them is not statistically significant. However, this does not necessarily mean that the two population proportions are equal, only that there is not enough evidence to reject the null hypothesis of equality. Further analysis or additional data may be required to determine if the two population proportions are truly equal.

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No the confidence interval does not provide convincing evidence that the two population proportions are equal.

No. Because the interval contains 0, there is not convincing evidence that the two population proportions are equal. A confidence interval provides a range of plausible values for a population parameter based on a sample. If the interval contains 0, it means that there is some overlap between the two population proportions and that the difference between them is not statistically significant. However, this does not necessarily mean that the two population proportions are equal, only that there is not enough evidence to reject the null hypothesis of equality. Further analysis or additional data may be required to determine if the two population proportions are truly equal.

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Each child will receive 27 acres of land when they turn 18, based on the given conditions.

To find out how many acres (x) each child will receive when they turn 18, we can set up an equation based on the given information.

Total land owned by the family: 239 acres

Land the parents wish to keep: 50 acres

Remaining land to be divided among the 7 children: 239 - 50 = 189 acres

We can represent the number of acres each child will receive as x. Since the remaining land is to be divided equally among the 7 children, the equation becomes:

x = (Remaining land) / (Number of children)

x = 189 / 7

Simplifying the equation, we find:

x = 27

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The population of the city in 2023 is 1.6 * 10^6.

The exponential function is a mathematical function that describes the growth of a quantity as a power of another quantity.

In mathematics, the exponential function is used to model a wide range of phenomena including exponential decay, compounding interest, and population growth.

Using the exponential growth model;

P = Poe^rt

P = population at time t

Po = Initial population

r = Population growth rate

t = time

4Po = Poe^rt

If t = 1

4Po/Po = e^r

4 =  e^r

r = ln4

r = 1.4

The population in 2023 is;

P = 88e^1.4 * 7

P = 1.6 * 10^6

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Triangle ABC is congruent to triangle PQR, where A corresponds to P, B corresponds to Q, and C corresponds to R.

We have,

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

To write a congruence statement for two triangles, we need to identify their corresponding parts and ensure that they are congruent in both triangles.

The congruence statement can be written in the following form:

Triangle ABC is congruent to triangle PQR, where A corresponds to P, B corresponds to Q, and C corresponds to R.

For example, if we have two triangles with vertices A, B, and C and P, Q, and R respectively, and we know that the following pairs of corresponding parts are congruent:

AB ≅ PQ

BC ≅ QR

AC ≅ PR

Then, we can write the congruence statement as:

Hence, Triangle ABC is congruent to triangle PQR, where A corresponds to P, B corresponds to Q, and C corresponds to R.

The symbol ≅ means "is congruent to."

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The correct answer is D. After the loop, the last row of matrix is 0, 0, 0, 0, 10.

This is because the code initializes a 5x5 matrix with all elements set to 0. Then, the for loop iterates over the length of the last row (which is 5), and sets the values in the last row to 10. However, the loop also has a semicolon immediately after the condition, which effectively terminates the loop before it even starts executing the loop body.

Therefore, only the initialization statement (which does nothing) and the semicolon are executed, leaving the rest of the matrix unchanged except for the last element in the last row, which is set to 10.

In computer programming, an initialization statement is a statement used to set an initial value to a variable or constant when it is declared. This is typically done to ensure that the variable or constant starts with a known and expected value, and to avoid any unpredictable behavior that may result from uninitialized data.

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Answer:

$825.28

Step-by-step explanation:

First, we need to calculate the 15% off sale:

870(0.85) = 739.50

Now, we will calculate and add on the sales tax:

739.50(1.116) = 825.28

So, the final price of the dresser will be $825.28

Hence, the total cost of the dresser is $ \(15.138\).

What is the percentage?

Percentages are generally defined as a ratio of any value to the whole value multiplied by \(100\).

The symbol used to represent the percentage is %. Percentage means a number or a ratio represented in the form of fractions of \(100\). It is represented using the percentage sign ‘%’.

Here given that,

A dresser is normally priced at $\(870\). ​ ​This weekend however, there is a sale where everything is \(15\)% off. ​ ​If the sales tax on items is \(11.6\)%,

Firstly we will calculate the \(15\)% off sale is

\(15\)%\(=\frac{15}{100}\\\\\)

\(15\)%\(=0.15\)

So,\(870(0.15) =130.5\)

Then,

\(\frac{11.6}{100}=0.116\) %

The sales tax on items is \(11.6\)% is

\(130.5(0.116)=15.138\) $

Hence, the total cost of the dresser is $ \(15.138\).

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Answer:

this is correct:)

Step-by-step explanation:

Answer:

-2, also  yeet

Step-by-step explanation:

Answer:

-0.25

Step-by-step explanation:

xD im a bit late :P

we can pick any 2 points on the line.

let's pick, (-1, 2) and (-3, 1)

Alright, so the formula to calculate slope is in the attachment below.

If you're a bit confused on what the little 2 and 1 at the bottom of each of those numbers are representing the points. So let's say (-3, 1) is point 2. And (-1, 2) is point 1.

the variable "y" is the y-coordinate.

the variable "x" is the x-coordinate.

And all we need to do now is just sub in the values and that's your answer.

so we have the 2 y-coordinates, 1 and 2.

We subtract them. 1-2=-1

then we have the 2 x-coordinates, -1, -3

-1-3=-4

so -1/-4 is -0.25

I am not sure if this is right -___- but this is what I've been taught sooooo :?

Answer: Correct option is B

Step-by-step explanation:  3/6 + 2/6 = 5/6

According to the model, 18% of gross domestic product will go toward health care in the year 2026.

To find the year when 18% of gross domestic product (GDP) will go toward health care according to the given model, we need to solve the equation:

f(x) = 18

where f(x) represents the percentage of GDP going toward health care x years after 2006.

Given the model f(x) = 1.4 ln(x) + 13.8, we can substitute 18 for f(x):

1.4 ln(x) + 13.8 = 18

Subtracting 13.8 from both sides:

1.4 ln(x) = 4.2

Dividing both sides by 1.4:

ln(x) = 3

To solve for x, we can exponentiate both sides using the base e (natural logarithm):

e^(ln(x)) = e^3

x = e^3

Using a calculator, the approximate value of e^3 is 20.0855.

Therefore, according to the model, 18% of GDP will go toward health care in the year 2006 + x = 2006 + 20.0855 ≈ 2026 (rounded to the nearest year).

According to the model, 18% of gross domestic product will go toward health care in the year 2026.

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Complete question is below

The percentage of gross domestic product (GDP) in a state going toward health care from 2007 through 2010, with projections for 2014 and 2019 is modeled by the function f(x) = 1.4 In x + 13.8, where f(x) is the percentage of gross domestic product going toward health care x years after 2006. According to the model, when will 18% of gross domestic product go toward health care?

According to the model, 18% of gross domestic product will go toward health care in the year (Round to the nearest year as needed.)

Answer:

sorry

Step-by-step explanation:

i don't understand your question

Answer:

\(4 \geqslant w \geqslant - 8\)

The indefinite integral of x√(x-9) dx is \((2/5)(x-9)^{(5/2)} + 2(x-9)^{(3/2)} + C\), where C is the constant of integration.

To find the indefinite integral of ∫x√(x-9) dx, we can use the substitution method.

Let u = x - 9, then du = dx.

Substituting these values into the integral, we have:

∫x√(x-9) dx = ∫(u + 9)√u du

Expanding the expression, we get:

∫(u√u + 9√u) du

Now we can integrate each term separately:

∫u√u du = ∫ \(u^{(3/2)}\) du = \((2/5)u^{(5/2)} + C1\)

∫9√u du = 9∫ \(u^{(1/2} du\) = \(9(2/3)u^{(3/2) }+ C2\)

Combining the results and substituting back u = x - 9, we have:

∫x√(x-9) dx = \((2/5)(x-9)^{(5/2)} + 9(2/3)(x-9)^{(3/2) }+ C\)

Simplifying further, we get:

∫x√(x-9) dx = \((2/5)(x-9)^{(5/2) }+ (6/3)(x-9)^{(3/2)} + C\)

                  = \((2/5)(x-9)^{(5/2)} + 2(x-9)^{(3/2)} + C\)

Therefore, the indefinite integral of x√(x-9) dx is\((2/5)(x-9)^{(5/2)} + 2(x-9)^{(3/2)} + C\), where C is the constant of integration.

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Answer:

We are using the Associate property of addition

Step-by-step explanation:

7+(a+b)=(7+a)+b

We are using the Associate property of addition

Answer:

\( 8.7 \times {10}^{ - 2} \)

Step-by-step explanation:

\(.087 = 8.7 \times {10}^{ - 2} \\ \)

Answer:

I’m not positive but I think this is what your question is asking for…. Hope this helped

Step-by-step explanation:

Answer:

what shape is it? for example a triangle etc

Answer:

Square root of 85

Step-by-step explanation:

Answer:

Step-by-step explanation: (Don't read this if you are taking a test, please! I don't want you to get in trouble!)

The formula to find a hypotenuse is a^2 + b^2 = c^2 (a squared plus b squared = c squared).

The hypotenuse is the diagonal leg (line WH).

The line WJ = 7, and the line JH = 6.  Let's make line WJ a, and line JH b.

7^2 + 6^2 = c^2.  When you square a number, you multiply that number by itself.  7x7 + 6x6 = c^2.  7x7 = 49 and 6x6 = 36.  Now you have 49 + 36 = c^2

49 + 36 = 85.  85 = c^2.  Square root both sides.  The square root of 85 = the square root of c^2 (c). c = 9.21954446.  If you have to round the hypotenuse to the nearest hundredth, then your answer is 9.22.  The answer for the length of the hypotenuse is 9.22

I hope this helps, but please don't use this on a test!

it is true that  0.5% of 200 is 10.

True.

To find 0.5% of a number, we need to multiply the number by 0.5/100, which can be simplified to 5/100 or 1/20. This is because "percent" means "per hundred", so 0.5% is equivalent to 0.5 per 100 or 0.5/100.

Multiplying the number by 5/100 is the same as multiplying it by 0.5/100, so it will give us the correct result.

For example, if we want to find 0.5% of 200, we can multiply 200 by 5/100 or 0.5/100:

\(0.5% of 200 = 200 \times 5/100 = 10\)

Therefore, it is true that  0.5% of 200 is 10.

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Answer:

0

Step-by-step explanation:

Note that + (- 7) = - 7 , thus

- 18 + (- 7) + 25 = - 18 - 7 + 25 = - 25 + 25 = 0

Answer:

Step-by-step explanation:

take x as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 20 / 36

sin x = 0.55

x = \(sin^{-1} (0.55)\)

x = 33.36

x = 33.4 degree

Answer:

19

Step-by-step explanation:

115+10P=305

305-115=190

190/10=19

Answer:

x-3y=-14

Step-by-step explanation:

Slope = (5-6)/(1-4) = -1/-3 = 1/3

y-intercept is,

b=6-1/3×4 = 14/3

so the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

Answered by GAUTHMATH

Standard form the equation of the line passing through the given points is x-3y=-14

Statement of equality between two expressions consisting of variables and/or numbers

Given points are: G(4, 6), H(1, 5)

Now,

Slope = (5-6)/(1-4)

= -1/-3

= 1/3

and y-intercept is,

b=6-1/3×4

b = 14/3

Hence, the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

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Answer: X coordinate can be anything.

Step-by-step explanation:

It can be 1, 2, 3, 4 , 5 .........

There must be an equation or something else, to we can work out the answer.

Answer: I think it's C

Step-by-step explanation: hope it helps

The most direct way to measure how dispersed a set of scores is, is by using the range. The range is calculated by subtracting the lowest score from the highest score in the dataset, which gives a quick and easy measure of the spread of the scores.

However, the range can be influenced by extreme scores and may not provide a complete picture of the variability. Other measures of variability, such as the standard deviation and variance, take into account the variability of all scores in the dataset and provide a more robust measure of variability.

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