12


Drag each tile to the correct box. Not all tiles will be used.


Find the increasing functions. Then arrange the increasing functions in order from least to greatest rate of change,


y=*#+10


y


=-=+


y =


y=11-2


y =

Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis

Step-by-step explanation:

The required value of x is 125° for the given pentagon.

The external angle of a pentagon is formed by extending one of its sides, and it is supplementary to the adjacent interior angle of the pentagon.

According to the given figure,

We have been given that a pentagon, which has five sides is shown.

As we know that the sum of the external angles of any polygon is always 360 degrees.

So, x° + 40° + 65° + 60° + 70° = 360°

x° + 235° = 360°

x° = 360° - 235°

Apply the subtraction operation, and we get

x = 125°

Therefore, the required value of x is 125°.

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Step-by-step explanation:

1-2x -y = 9

so , 2(15) + y = -8

30 + y = -8

The total number of bacteria in the dish is 31457280

The expression is given as:

Total = (32)^4 * 30

Start by evaluating the exponent

Total = 1048576 * 30

Next, evaluate the product

Total = 31457280

Hence, the total number of bacteria in the dish is 31457280

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Answer:

A (3^8)

Step-by-step explanation:

I have this question on my test. I'm just assuming the person didn't put ^.

(3^2)^4 times 3^0

The function rule for the statement "The output is seven more than one-third of the input" can be written as: y = 1/3x + 7

The pattern represented in the input/output table must be represented by the function rule when it is written from the data in the table. Start by searching for a pattern between the input and output numbers. The output numbers' values are quite similar to the input number multiplied by three.

Let x be the input, and y be the output.

As we have the statement as:

The output is seven more than one-third of the input

So, we can write the function as:

y = 1/3x + 7

This represents the relationship between the input and the output,

where the output is seven more than one-third of the input.

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Answer:

\(16x^4y^2 a^6\)

Step-by-step explanation:

\((-4x^2ya^3)^2=(-4)^2(x^2)^2(y)^2(a^3)^2 \\ \\ =16x^4y^2 a^6\)

The similarity property that can be used for the triangles is SAS.

The congruence of any two figures is generally understood as two figures which can perfectly overlap each other. Congruent triangles are triangles that are perfect copies of one another. Various congruence rules are used to prove the congruency in two triangles

One of the conditions that make triangles congruent is:

if the two sides and the included angle of one triangle are respectively equal to the two sides and the included angle of the other( SAS).

Considering the given image:

If two triangles ABC and DEF are drawn in which AB/DE = AC/DF and the included angles <A and <D are equivalent i.e. <A ≅ <D

Since the two sides and the included angle of ΔABC are respectively equal to the two sides and the included angle of the ΔDEF

Therefore, the similarity property that can be used is SAS. The  3rd option is the answer

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Answer:

b

Step-by-step explanation:

To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Answer:

a = 3 , b = - 2

Step-by-step explanation:

5a + b = 17 → (1)

3a + 2b = 5 → (2)

multiplying (1) by 2 and adding to (2) will eliminate b

10a + 2b = 34 → (3)

add (2) and (3) term by term to eliminate b

13a + 0 = 39

13a = 39 ( divide both sides by 13 )

a = 3

substitute a = 3 into either of the 2 equations and solve for b

substituting into (1)

5(3) + b = 17

15 - b = 17 ( subtract 15 from both sides )

- b = 2 ( multiply both sides by - 1 )

b = - 2

then solution is a = 3 , b = - 2

To design a 400 m track event with staggered starting points for each lane, the calculation methods and equations are used. The width of the track should be at least 9.76 m to accommodate 8 lanes, with each lane having a minimum width of 1.22 m. The athletes in the outer lanes would have to run a longer distance due to the semicircles at the top and bottom of the track. The goal is to determine the accurate distances from the finishing line for each athlete to ensure they all complete exactly 400 m.

To achieve staggered starting points, the calculation method involves determining the radius of each curve and using it to calculate the distance from the starting line for each lane. The equations used are based on the circumference of a circle (2πr) and the length of a straight line (400 m minus the curved distance). By considering the lane width, lane numbering, and the semicircles, the starting points for each lane can be calculated accurately.

The program should implement the calculations for each lane's starting point and accurately measure the distances from the finishing line, ensuring that every athlete completes exactly 400 m.

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The area of the square is \(42\frac{1}{4}\) square inches, Uncle Bill's age is 44 years and the cups used by Sally to make 4 batches of cookies is 14.

According to the question,

We have the following information:

3. The side of square = \(6\frac{1}{2}\) inches

Now, we will convert this from mixed fraction to simple fraction.

So, we have:

The side of square = 13/2 inches

Area of square = side*side

Area of square = 13/2 * 13/2

Area of square = 169/4 square inches

Area of square = \(42\frac{1}{4}\) square inches

2. Jim is 8 years old. Uncle Bill's age is \(5\frac{1}{2}\) times of Jim's age.

So, we have:

Uncle Bill's age = (11/2)*8

Uncle Bill's age = 11*4 years

Uncle Bill's age = 44 years

1. Sally uses \(3\frac{1}{2}\) cups for making 1 batch of cookies.

Now, the cups required to make 4 batches of cookies = (7/2)*4

The cups required to make 4 batches of cookies = 7*2

The cups required to make 4 batches of cookies = 14

Hence, the answers to be written in the given boxes are for 3, we have \(42\frac{1}{4}\), for 2 we have 44 and for 1 we have 14.

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The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.

This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).

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Answer:

162

Step-by-step explanation:

Note that you can split the given shape into a triangle and a rectangle.

Area of rectangle = base x height

base = 12

height = 9

Plug in the corresponding numbers into the corresponding variables:

Area of rectangle = 12 x 9

                             = 108

Area of triangle = (base x height)/2

base = 12

height = 9

Area of triangle = (12 x 9)/2

                          = (108)/2

                          = 54

Next, add the two areas together to get the full area:

108 + 54 = 162

162 is your answer.

~

To turn a decimal into a fraction, follow these steps:

1: Identify the place value of the decimal. For example, 0.25 has two decimal places.

2: Write the decimal as a fraction with the decimal part as the numerator and a denominator based on the place value. For example, 0.25 can be written as 25/100.

3: Simplify the fraction if possible. In this case, both the numerator and denominator can be divided by 25 to simplify the fraction to 1/4.

To turn a fraction into a decimal, follow these steps:

1: Divide the numerator of the fraction by the denominator. For example, for the fraction 3/4, divide 3 by 4.

2: The resulting decimal can be rounded to the desired number of decimal places or expressed as a decimal fraction. For instance, 3 divided by 4 equals 0.75.

3: If you want to express the fraction as a decimal fraction, simply write the decimal as a fraction, with the decimal places as the numerator and a power of 10 as the denominator. For example, 0.75 can be written as 75/100, which simplifies to 3/4.

Remember, when converting between decimals and fractions, it's essential to simplify the fraction and round the decimal if necessary.

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To cost the same at either flower shop, you would need to order 8 bouquets. The total cost would be $120.

Let the number of bouquets needed is represented by 'x'.

For Square Root Flower:

Cost of labor = $40

Cost per bouquet = $10

Total cost at Square Root Flower = Cost of labor + (Cost per bouquet × Number of bouquets)

= $40 + ($10 × x)

= $40 + $10x

For Beautiful Flower:

Cost of labor = $80

Cost per bouquet = $5

Total cost at Beautiful Flower = Cost of labor + (Cost per bouquet × Number of bouquets)

= $80 + ($5×x)

= $80 + $5x

To find the number of bouquets needed to cost the same at either flower shop, we set the total costs equal to each other and solve for 'x':

$40 + $10x = $80 + $5x

Simplifying the equation:

$10x - $5x = $80 - $40

$5x = $40

x = $40 / $5

x = 8

Therefore, to cost the same at either flower shop, 8 bouquets would need to be ordered.

To find the total cost, we can substitute the value of 'x' into either equation.

Let's use the equation for Square Root Flower:

Total cost at Square Root Flower = $40 + ($10 × 8)

= $40 + $80

= $120

So, it would cost $120 to order 8 bouquets at either flower shop.

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Step-by-step explanation:

$4 no toppings mentioned

The statement "The game scores of season 2006 have a greater spread than the game scores of season 2005" must be true.

To determine which statement must be true, we need to compare the spreads of game scores between different seasons. The spread refers to the range or variability of the scores.

The statement "The game scores of season 2006 have a greater spread than the game scores of season 2005" is true because it implies that the range of game scores in 2006 is larger than the range of game scores in 2005. This means that the game scores in 2006 are more spread out or have more variability compared to the game scores in 2005.

The other statements are not necessarily true based on the information provided. We don't have any information about the game scores of season 2008 or season 2007 in relation to other seasons. Therefore, we cannot make conclusions about the spreads of game scores in those specific years.

In summary, the statement "The game scores of season 2006 have a greater spread than the game scores of season 2005" is the only statement that can be confirmed as true based on the given information.

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Here are the vectors **t**, **n**, and **b** at the given point:

* **t** = (-3 sin t, 3 cos t, 0)

* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)

* **b** = (3 cos^2 t, -3 sin^2 t, -3)

The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.

To find the vectors **t**, **n**, and **b**, we can use the following formulas:

```

t(t) = r'(t) / |r'(t)|

n(t) = (t(t) x r(t)) / |t(t) x r(t)|

b(t) = t(t) x n(t)

```

In this case, we have:

```

r(t) = (3 cos t, 3 sin t, 3 ln cos t)

r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)

```

Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.

The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.

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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.

To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
       = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
        = (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

|

|

|

|

| x

|

|

|

-------------

|

|

|

|

|

|

|

|

|

B

|

|

|

|

|

|

|

|

|

|

|

A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

144 oz

Step-by-step explanation:

Answer:  If i'm not mistaking its 144 oz.  If that's what the question is asking you.  Hope this helps <3.

The operational costs a business bears in order to make money are referred to as expenses.

The Complete Question is expenses.

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The probability of rolling an even number exactly 2 times when a six-sided die is rolled 6 times is approximately 0.316.

To find the probability, we can consider the number of successful outcomes and divide it by the total number of possible outcomes. In this case, we want to find the probability of rolling an even number exactly 2 times out of 6 rolls.

The total number of possible outcomes when rolling a six-sided die 6 times is \(6^6\) since each roll has 6 possible outcomes.

To calculate the number of successful outcomes, we need to consider the different combinations of rolling an even number exactly 2 times out of 6 rolls. We can use the concept of binomial coefficients.

The number of successful outcomes can be calculated using the binomial coefficient formula:

\(\binom{n}{k} = \frac{n!}{k!(n-k)!}\),

where \(n\) is the total number of trials (6 rolls) and \(k\) is the number of successful trials (2 even numbers).

Using this formula, we have:

\(\binom{6}{2} = \frac{6!}{2!(6-2)!} = \frac{6!}{2!4!} = 15\).

Therefore, the number of successful outcomes is 15.

The probability is then calculated as the ratio of successful outcomes to total outcomes:

\(P = \frac{15}{6^6} \approx 0.316\).

Thus, the probability of rolling an even number exactly 2 times when a six-sided die is rolled 6 times is approximately 0.316.

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The least common multiple (LCM) of 60 and 90 is 180.

The LCM of 220 and 1400 is 3080.

The LCM of 3273∙11 and 23∙5∙7 is 127155.

To find the LCM of 60 and 90, we can list their multiples and find the smallest common multiple, which is 180.

For the numbers 220 and 1400, we can find their prime factorizations (220 = 4 × 5 × 11, 1400 = \(2^{3}\) × 10 × 7). Then, we take the highest power of each prime factor and multiply them together to get the LCM, which is \(2^{3}\) × 10 × 7 × 11 = 3080.

For the numbers 3273∙11 and 23∙5∙7, we multiply together all the distinct prime factors and their highest powers to obtain the LCM, which is 3273∙11∙23∙5∙7.

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Answer:

6x

Step-by-step explanation:

4 * 3x = 12x

12x / 2 = 6x