In the number 4,444.444, how does the 4 in the hundredths place compare to the 4 in the place to its left?

Answer:

The cost of a combo meal is $8 and a salad is $4.

Step-by-step explanation:

You have to form simultaneous equations with the given informations. Let combo meal be m and salad is s :

\(m + s = 12 - - - (1)\)

\(2m + s = 20 - - - (2)\)

Next, you have to solve these equations :

\((2) - (1)\)

\(2m + s - m - s = 20 - 12\)

\(m = 8\)

\(sub \: \: m = 8 \: \: into \: \: (1)\)

\((1)⇒\)

\(8 + s = 12\)

\(s = 4\)

Answer: 8$,4$

Step-by-step explanation:

Answer:

12x² -16x -16

Step-by-step explanation:

12x² -24x + 8x -16

12x² -16x -16

Answer:

The answer is f-1(x)=1/2x-3/2

Step-by-step explanation:

I just took the test.

Two functions f(x) and g(x) are inverses if and only if:

f(g(x)) = x

g(f(x)) = x

We will find that the anwer here is g(x) = -2*x - 3

We want to find the inverse function of

\(f(x) = -\frac{1}{2} x - \frac{3}{2}\)

Because f(x) is a linear function, its inverse is also a linear function, so at the moment we can write:

\(g(x) = a*x + b\)

The composition will be:

\(g(f(x)) = a*(-\frac{1}{2}x - \frac{3}{2} ) + b = x\)

Now we can expand the above expression to find the values of a and b.

\(g(f(x)) = a*(-\frac{1}{2}x - \frac{3}{2} ) + b = x\\\\ = -\frac{a}{2}*x - \frac{3*a}{2} + b = x\\\\\)

Then we must have:

\(\frac{-a}{2} = 1\\\\a = -2\)

and

\(\frac{-3a}{2} + b = 0\\b = \frac{3a}{2} = \frac{3*(-2)}{2} = -3\)

Then the inverse function is:

g(x) = -2*x - 3

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Answer:

41.38%

Step-by-step explanation:

A= P(1+in)

7540 = 1749.28 + 13994.25i

5790.72= 13994.25i

i=0.41379×100

i=41. 38%

There are 14,400 paths from $a$ to $b$ consisting of exactly six line segments (vertical, horizontal or inclined).

Assuming that the distance between adjacent lattice points is equal to 1 unit, we can find the number of paths from \(a$ to $b$\) consisting of exactly six line segments by using the concept of permutations and combinations.

To reach \(b$ from $a$\) using exactly 6 line segments, we need to make 3 horizontal and 3 vertical moves, with each move covering a distance of 1 unit. The order in which we make these moves is important.

Out of the 6 moves, we can choose 3 moves to be horizontal and the remaining 3 to be vertical. The number of ways of doing this is given by the combination formula:

\($C(6,3) = \frac{6!}{3!3!} = 20$\)

Once we have selected the 3 horizontal moves and 3 vertical moves, we can arrange them in any order. The number of ways of doing this is given by the permutation formula:

\($P(6,6) = 6! = 720$\)

Therefore, the total number of paths from\($a$ to $b$\)consisting of exactly six line segments (vertical, horizontal or inclined) is given by the product of the number of ways of choosing 3 horizontal moves out of 6, and the number of ways of arranging the 6 moves:

\($20 \times 720 = 14,400$\)

Hence, there are 14,400 paths from $a$ to $b$ consisting of exactly six line segments (vertical, horizontal or inclined).

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There are 4096 paths from point a to point b that consist of exactly six line segments (vertical, horizontal, or inclined).

We can use the concept of permutations and combinations.

First, we need to consider the possible directions for each line segment:

vertical, horizontal, and inclined (assume inclined in both the top-right and bottom-right directions).

So there are 4 possible directions for each segment.

Since we have 6 line segments, we need to find the total number of paths that can be formed by arranging the 4

directions for the 6 segments.

We can use the formula for permutations with repetition, which is \(n^r\), where n is the number of possible directions (4)

and r is the number of segments (6).

Plug in the values into the formula:

\(4^6\) = 4096.

So, there are 4096 paths from point a to point b that consist of exactly six line segments (vertical, horizontal, or

inclined).

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The name which is given to this type of poll which is being described in this scenario is known as:

According to the given question, we are asked to state the name which is given to this type of poll which is being described in this scenario where a media organisation asks people who they voted for.

As a result of this, we can see that the type of poll which was used in this described scenario above is known as an exit poll because it is used to get the poll of the voters just after they have left the polling stations.

Therefore, the correct answer is option A

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Answer

(0,50)

Step-by-step explanation:

let's assume the temperature on 5th day be x

We know that :

\( \boxed{mean = \frac{sum \: \: of \: all \: \: observations}{number \: \: of \: \: observations} }\)

So,

\( \hookrightarrow \: 0 = \dfrac{ - 2 + ( - 2) + ( - 2) + ( - 2) + x}{5} \)

\( \hookrightarrow \: 0 \times 5= - 2 - 2 - 2 - 2 + x\)

\( \hookrightarrow \: 0 = - 8 + x\)

\( \hookrightarrow \: x = 8\)

Therefore, temperature on the fifth day was x = 8

Answer:

Inches

Gallons

Kilometers

Yards

Step-by-step explanation:

We are to proffer the appropriate unit of measurement for each scenario given below :

a. My foot is 21 inches long. (unit for measuring length which are usually small such a a person's foot)

b. My large aquarium holds 55 gallons of water. (volume measurement of liquid in a large container)

c. My dad drives 27 kilometers to work each day. (distance measurement which are moderately long)

d. I just bought 12 yards of carpet to cover my family room floor. (length measurement used for materials such as cloth, carpet, rugs e.t.c).

Answer:

\(X=24\)

Step-by-step explanation:

From the question we are told that:

Probability of  having a smoker \(P(s)=0.24\)

Sample size \(n=130\)

Generally the equation for Variance X is mathematically given by

 \(X= np(1-p) =\)

 \(X= (130)(0.24)(1-0.24)\)

 \(X = 23.712\)

 \(X=24\)

The net amount of imports is RM 175 million of GDP of Country A. Option  C is the correct answer.

The total amount of money spent during a specific time period by firms, consumers, and the government may be used to compute GDP.

Calculation:

GDP = personal consumption + gross investment + govt consumption + net exports + imports

Therefore, Import = 175

Here the total amount of imports is RM 175 million. Therefore, Option  C is the correct answer.

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The complete question is, "The information below contains information on Country A.

                                                  RM(in millions)

Gross Domestic Product              1250

Consumer Spending                    500

Investment Spending                   350

Govt Spending                              350

Export                                             225

What is the amount of imports?

A. RM 800 million

B. RM 135 million

C. RM 175 million

D. RM 575 million"

Answer:

pizzas will you need? ... much would it cost to have refreshments for 80 guests? ... A certain shade of green paint is made from 5 parts yellow mixed with three ... In a public opinion poll, 624 people from a sample of 1,100 indicated they would vote ... votes can the candidate expect to receive from a population of 40,000? 624.

Step-by-step explanation:

Answer: when one of the variables is dichotomous; when you need to measure the relationship between a continuous variable and a dichotomous variable.

Step-by-step explanation:

Answer:

y = x + 1

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (-2 - 3)/(-3 - 2) = -5/-5 = 1

given m = 1, x = 2, y = 3

y = mx + b

3 = 1(2) + b

3 = 2 + b

b = 1

then

y = x + 1

Answer: 3 \(\geq\) x

Step-by-step explanation:

\(2(4+2x)\geq 5x+5\\\\Distribute\\\\8+4x\geq 5x+5\\\\Subtract\\\\8\geq x+5\\\\Subtract\\\\3\geq x\)

Hope it helps <3

Answer:

x≤3

Step-by-step explanation:

2(4+2x)≥5x+5

Distribute.

2*4+2*2x≥5x+5

8+4x≥5x+5

Subtract 8 from both sides.

8-8+4x≥5x+5-8

4x≥5x-3

Subtract 5x from both sides.

4x-5x≥5x-5x-3

-x≥-3

Divide both sides by -1.

Note that when you divide an inequality by a negative number, you must flip the sign.

x≤3

Answer:

(2, 7 )

Step-by-step explanation:

y = 3x + 1 → (1)

5x = y + 3 → (2)

substitute y = 3x + 1 into (2)

5x = 3x + 1 + 3

5x = 3x + 4 ( subtract 3x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

substitute x = 2 into (1)

y = 3(2) + 1 = 6 + 1 = 7

solution is (2, 7 )

To count the number of different 6-letter strings that can be formed using the letters c, i, r, c, l, and e, we can use the permutation formula. There are 6 choices for the first letter, 5 choices for the second letter (since we can't use the same letter twice), and so on, giving us:

6 x 5 x 4 x 3 x 2 x 1 = 720

However, not all of these strings meet the condition that the two occurrences of the letter c are separated by at least one other letter. To count the number of strings that do meet this condition, we can use the complementary counting method.

First, let's count the number of strings in which the two c's are adjacent. There are 5 positions where the two c's could be (the first two, second and third, third and fourth, fourth and fifth, or last two positions), and once we place the c's, we have 4 letters left to fill in the remaining 4 positions. This gives us:

5 x 4 x 3 x 2 x 1 = 120

Now, let's count the total number of 6-letter strings that have at least one pair of adjacents c's. We can use the same method as above, but this time we can place the two c's anywhere in the string, giving us:

6 x 5 x 4 x 3 x 2 x 1 - 5 x 4 x 3 x 2 x 1 = 720 - 120 = 600

Finally, we can subtract this from the total number of 6-letter strings to get the number of strings in which the two c's are separated by at least one other letter:

720 - 600 = 120

Therefore, there are 120 different 6-letter strings that can be formed using the letters c, i, r, c, l, and e in which the two occurrences of the letter c are separated by at least one other letter.

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Answer:

-2

Step-by-step explanation:

Notice that 1/e^2 = e^(-2), by power rules.

Now ln(e^x)=x.

So ln(1/e^2) = ln(e^(-2))=-2

The equation of a radical function can be determined by using the transformation rules for x- and y- shifts, stretches/compressions, reflections, and rotations.

The equation of a radical function can be determined by applying various transformation rules. The most common transformations are shifts, stretches/ compressions, reflections, and rotations. For example, a radical function that is shifted left two units would have an equation of y = sqrt(x + 2). This is because the function is shifted two units to the left of the origin, so the equation must include an x + 2 term. Similarly, if the function is reflected in the x-axis, the equation would be y = -sqrt(x). This is because the reflection inverts the sign of the y-coordinate, so the equation must include a negative sign in the radical. For stretches and compressions, the equation must include a coefficient in front of the radical. For example, if the function is stretched horizontally by a factor of 3, then the equation would be y = 3 sqrt(x). This is because the function is stretched by a factor of three, so the equation must include a coefficient of 3 in front of the radical. Finally, for rotations, the equation must include a term for the angle of rotation. For example, if the function is rotated counterclockwise by 45 degrees, then the equation would be y = sqrt(x + y/tan45). This is because the angle of rotation is 45 degrees, so the equation must include a tan45 term.

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To find the result of multiplying vector a by vector b, we use the dot product or scalar product. The dot product of two vectors is calculated by multiplying the corresponding components and summing them up.

Given:

a = [1, 3, 5]

b = [1, 3, 5]

To find a · b, we multiply the corresponding components and sum them:

\(a . b = (1 * 1) + (3 * 3) + (5 * 5)\\ = 1 + 9 + 25\\ = 35\)

So, a · b equals 35.

Now, let's plot the coordinate (35) on a graph paper. Since the coordinate consists of only one value, we'll plot it on a one-dimensional number line.

On the number line, we mark the point corresponding to the coordinate (35). The x-axis represents the values of the coordinates.

First, we need to determine the appropriate scale for the number line. Since the coordinate is 35, we can select a scale that allows us to represent values around that range. For example, we can set a scale of 5 units per mark.

Starting from zero, we mark the point at 35 on the number line. This represents the coordinate (35).

The graph paper would show a single point labeled 35 on the number line.

Note that since the coordinate consists of only one value, it can be represented on a one-dimensional graph, such as a number line.

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If 13.6% of the solution is acid ,then 49.4 milliliters of acid are there .

In the question;

it is given that

the total solution of acid and water is 363 milliliters .

and also it is  given that 13.6% of the solution is acid ,

which means

the amount of acid in solution = 13.6% of total solution

Substituting the values , and

on solving further ,

we get

amount of acid in solution = 0.136×363        ......as 13.6% = 0.136

= 49.368

≈ 49.4  milliliter

Therefore , if 13.6% of the solution is acid ,then 49.4 milliliters of acid are there .

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Answer:

Step-by-step explanation:

Notice that the dividend has tree terms with , , c

Now, to divided our dividend by the monomial (single term) , the easiest thing to do is divide each term of the dividend by the monomial:

÷ =

After performing the division we get that now and

We can conclude that the correct answer is a = 2y and b = –3

The center distance of the region bounded by a curve above the x-axis is given by y = (a/b) units. We need to find the value of a + b.

Let's consider the region bounded by the curve y = f(x), where f(x) is a function above the x-axis. The center distance of this region refers to the vertical distance from the x-axis to the curve at its highest point, or the distance between the x-axis and the curve at its lowest point if the curve dips below the x-axis.

In this case, the equation y = (a/b) represents the curve that bounds the region. The coefficient a represents the distance from the x-axis to the highest point on the curve, and b represents the horizontal distance from the x-axis to the lowest point on the curve.

To find the value of a + b, we need to determine the individual values of a and b. The equation y = (a/b) tells us that the vertical distance from the x-axis to the curve is a, while the horizontal distance from the x-axis to the curve is b. Therefore, the sum a + b represents the total distance from the x-axis to the curve.

In conclusion, to find the value of a + b, we can analyze the equation y = (a/b), where a represents the vertical distance from the x-axis to the curve and b represents the horizontal distance from the x-axis to the curve. By understanding the relationship between the variables, we can determine the sum of a + b, which represents the center distance of the bounded region.

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Answer:

length = 14 metres, width = 12 metres

Step-by-step explanation:

let x be length

length = x

width = x-2

perimeter of parallelogram = 52

length + length + width + width = 52

x+x+x-2+x-2=52

4x-4=52

4x=56

x=14

length = 14 metres

width = 14 - 2 = 12 metres

Answer:

P=2(l+w)

or, 52=2(l+l-2)

or, 52=4l-4

or, 56 =4l

therefore length=14m

therefore breadth=l-2=12m

Answer:

I also have felt like this recently. Try talking to someone about it. :)

The best way to compare exam score to the number of hours of sleep is by

Histogram, you can easily determine the score using the bars on the histogram at every hours of sleep.

Scatter

The ordered pair (x, y) = (3/5, 1/2) satisfies both equations in the given system, making it the solution.

The solution to the given system of linear equations is the ordered pair (x, y) = (3/5, 1/2). This means that when x is equal to 3/5 and y is equal to 1/2, both equations are satisfied simultaneously.

In the first equation, One-half x minus three-fourths y equals 11/60.

By substituting x = 3/5 and y = 1/2 into this equation, we have (1/2)(3/5) - (3/4)(1/2) = 11/60, which simplifies to 3/10 - 3/8 = 11/60. By further simplifying, we get 24/80 - 30/80 = 11/60, which is true since both sides are equal to 11/60.

Similarly, in the second equation, Two-fifths x plus one-sixth y equals 3/10.

Substituting x = 3/5 and y = 1/2, we have (2/5)(3/5) + (1/6)(1/2) = 3/10, which simplifies to 6/25 + 1/12 = 3/10.

By finding a common denominator and simplifying, we get 144/600 + 50/600 = 180/600, which is also equal to 3/10.

Thus, the ordered pair (x, y) = (3/5, 1/2) satisfies both equations in the given system, making it the solution.

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The horizontal distance between the base of the ladder and the building  is 8.4 feet.

The description forms a right triangle.

Let the distance be represented by x, to solve of x, we use trigonometric ratio

Cosine = Adjacent / Hypotenuse

cos( 56 ) = x / 15

x = cos( 56 ) × 15

x = 8.4 ft

Therefore, the value of x is 8.4 feet.

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