find the 10th term 10,11,12,13

The smallest possible number Hannah could be thinking of will be 351.

And, the largest possible number Hannah could be thinking of will be 355.

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

Hannah thinks of a whole number.

Rounded to the nearest 10, her number is 350.

And, Rounded to 1 significant figure, her number is 300.

Now,

Since, Hannah thinks of a whole number.

Rounded to the nearest 10, her number is 350.

And, Rounded to 1 significant figure, her number is 300.

Hence, We get;

The smallest possible number Hannah could be thinking of = 351.

And, The largest possible number Hannah could be thinking of = 355.

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The value of {f(-1)-f(3)}/(-1-3) is 255/16 when f(x) = [tex]4^{x}[/tex].

According to the question,

We have the following information:

f(x) = [tex]4^{x}[/tex]

Now, we will first find the values of f(-1) and f(3) and then we will put these values into the given operation in order to find its value.

f(-1) = [tex]4^{-1}[/tex]

Now, we will inverse this operation to have positive exponents:

f(-1) = 1/4

f(3) = [tex]4^{3}[/tex]

f(3) = 4*4*4

f(3) = 64

Now, we have f(-1)-f(3) in the numerator. So, we will solve this first:

1/4 - 64

(1-256)/4

-255/4

Now, putting all these values in the indicated operation:

(-255/4)/(-1-3)

(-255/4)-4

255/(4*4)

255/16

Hence, the value of {f(-1)-f(3)}/(-1-3) is 255/16 when f(x) = [tex]4^{x}[/tex].

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The highest amount that can be charged to your credit account is called credit limit and is therefore denoted as option A.

This is referred to as a type of banking arrangement which involves a customer receiving goods from a store and paying for them over a period of time.

The credit card which is linked to the account is used for such type of transactions and the highest amount that can be charged to it is known as credit limit which is therefore the reason why option A was chosen as the correct choice.

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Answer:

Name: TRIANGLE CONGRUENCE THEOREMS COMMON CORE GEOMETRY HOMEWORK REASONING 1. Which picture below that does not contain enough information to prove that AABCADEF? D (4) 2. In the following diagram, we know that AD a BC and 2. Which of the three theorems (ASA, SAS, or SSS) would be used to justify that AMBC ACDA? Explain your choice. 3. An additional theorem could be now stated: If two legs of one right triangle le are equal, respectively, to two legs of another right triangle, then the two right triangles are congruent. Which of the three major theorems (ASA, SAS, or SSS) would this be an extension of? Explain your choice. COMMON CORE GEOMETRY, UNIT a3-EtouDEAN TRIANGLE nor AND Cosstuimoss-Less #3 math instruction, RED HoOK, NY 12571,0 2018

Name: TRIANGLE CONGRUENCE THEOREMS COMMON CORE GEOMETRY HOMEWORK REASONING 1. Which picture below that does not contain enough information to prove that AABCADEF? D (4) 2. In the following diagram, we know that AD a BC and 2. Which of the three theorems (ASA, SAS, or SSS) would be used to justify that AMBC ACDA? Explain your choice. 3. An additional theorem could be now stated: If two legs of one right triangle le are equal, respectively, to two legs of another right triangle, then the two right triangles are congruent. Which of the three major theorems (ASA, SAS, or SSS) would this be an extension of? Explain your choice. COMMON CORE GEOMETRY, UNIT a3-EtouDEAN TRIANGLE nor AND Cosstuimoss-Less #3 math instruction, RED HoOK, NY 12571,0 2018

Step-by-step explanation:

The possible values for the third side's measurement are3 < x < 17. Any two sides of a triangle's lengths added together must be longer than the third side.

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The salary is $55100 when [tex]a_n=55100[/tex].

[tex]55100=41900+1100n\\\\13200=1100n\\\\12=n[/tex]

So, her salary will be $55,100 after 12 years.

The salary is $55100  after 12 years.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that construction worker's starting salary is $43,000. Each year she receives a $1100 raise.

Therefore, an = 41,900 + 1100n

An explicit formula of the form an = bn + c to model this situation.

When n = 10,

= 41,900 + 1100n

= 41,900 + 1100(10)

= 41,900 + 11000

= 52,900

when an  = 55,100

Then an = 41,900 + 1100n

55,100 = 41,900 + 1100n

1100n = 55,100 - 41,900

1100n = 13200

n = 13200/ 1100

n = 12

So, her salary will be $55,100 after 12 years.

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Answer:

bag A

Step-by-step explanation:

10/1.10=9.09090909091

12/1.38=8.69565217391

6/0.84 7.14285714286

The interior angles of triangle add up to give 180 degrees.

The set of all points within a triangle, or all points in the convex hull of the triangle's vertices, is known as the interior of the triangle.

The three angles that make up a triangle's interior are referred to as its interior angles. The total of these three angles is always 180 degrees.

Here given two angles of triangle = 96° and 48°

We know that sum of interior angles = 180°

So x° + 96° + 48° = 180°

x + 144 = 180

x = 180 - 144

x = 36°

To find the value of y,

We know that angle over a straight line is 180°

So ,

96° + y° = 180°

y = 180 - 96

y = 84°

Therefore the value of x = 36° and y = 84° .

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Answer:

The width of the rectangle should be 8 units.

Calculation of the width:

Since The width of a rectangle is 1 units less than the length. The area of the rectangle is 72 units.

Here we know that

Area = (length) (width)

Here we assume length be x

So, width be = x - 1

So,

(x) (x - 1) = 72

(x + 8) (x - 9)

So, the width should be

= 9 - 1

= 8

hence,

The larger angle in the straight line is 101°.

What is straight line angle?

   A straight angle in mathematics is one with a sine angle of 180 degrees. Due to the fact that it resembles a straight line, it is called straight. Those angles that make a straight line are known as straight angle pairs. Each angle in this pair adds up to 180 degrees, regardless of how many angles make up the pair. A straight angle in geometry is one that is equal to 180 degrees. It looks like a straight line, hence the name "straight angle." It is an angle, then, whose sides are in the same straight line but opposite to the vertex.

We know that , In straight line angle at any point is 180°.

Here,

=> (14x+3)°+(11x+2)°=180°

=>14x+3+11x+2=180

=>25x+5=150

=>25x=180-5=175

=> x = 175/25 = 7.

Then , 14(7)+3=101° and 11(7)+2=79°.

Hence the larger angle is 101°.

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Answer:

[tex]\frac{5}{14}[/tex] c - [tex]\frac{2}{9}[/tex] d

Step-by-step explanation:

Answer:A. x= .100

Step-by-step explanation:because of the distance in miles

The correct y-intercept, slope, and equation for the line include the following:

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Note: Each interval on this graph represents 1 unit.

By critically observing the graph, we can reasonably and logically deduce the following points through which the line passes through:

Points (x, y) = (0, 4)

Points (x, y) = (10, 0)

Substituting the given parameters into the formula, we have;

Slope, m = (0 - 4)/(10 - 0)

Slope, m = -4/10

Slope, m = -2/5.

At point (0, 4), a linear equation for the line can be calculated by using the slope-intercept form:

y = mx + c

Where:

Substituting the given parameters into the formula, we have;

y = mx + c

y = -2x/5 + 4

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The domain of given graph is [-8,8].

The domain of a function is a set of all x values i.e. the numbers for which function is defined. All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range. When viewing a graph, the whole range of numbers from left to right comprise the domain.

As seen from the graph graph is limited from -8 to +8 that means the domain of the graph is [-8,8].

Or it can be written as [tex]-8\leq x \leq 8[/tex]

Therefore, the domain of the function is [-8,8].

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Answer:

√(16) - √(-2) + √(16) + √(-200) =

8 + 12.7279221 i

The probability of observing an 85°F temperature or higher in Los Angeles during a randomly chosen day in June is 0.266.

We are given information about the temperatures in Los Angeles for the month of June. The average daily high temperature in June in LA is 80°F. The standard deviation in the temperature values is 8°F. The temperatures in June closely followed a normal distribution. We need to find the probability of observing an 85°F temperature or higher in Los Angeles during a randomly chosen day in June. Let the mean, standard deviation, value, z-score, and probability be represented by the variables M, S, X, Z, and P. First of all, we will find the z-score for the given temperature value.

Z = (X - M)/S = (85 - 80)/8 = 5/8 = 0.625

We want to find the probability for Z-values greater than or equal to the calculated z-score. We need to use the z-score table to find the corresponding probability.

P(z ≥ 0.625) = 0.26599

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Reason:

The x value x = 4 repeats itself. We have the input x = 4 lead to multiple outputs (y = 0 and y = 2) at the same time. This is enough evidence to conclude we do not have a function.

A function is only possible if any given input leads to exactly one output.

If you were to plot these points, then you should note (4,0) and (4,2) fail the vertical line test. To pass the vertical line test, it should be impossible to draw a single vertical line through more than one point.

Answer: [tex]W'(-3/2, 3), X'(2, -3), Y'(-9/2, -3), Z'(-9, 3)[/tex]

Step-by-step explanation:

When dilating with a scale factor of [tex]k[/tex] centered at the origin,[tex](x,y) \to (kx, ky)[/tex].

The required dilation is given as for Quadrilateral W'X'Y'Z' as W'(-3/2, 2), X'(2, -3), Y'(-9/2, -3) and Z"(-9, 3).

Given that,
Quadrilateral WXYZ has vertices W (-3, 6), X (4, -6), Y (-9, -6), and Z (-18, 6). To determine the coordinates for the point named after it is dilated through the origin by a factor of one-half.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
Quadrilateral WXYZ has vertices W (-3, 6), X (4, -6), Y (-9, -6), and Z (-18, 6).
Scale factor = 1/2
vertices W' (-3/2, 6/2), X' (4/2, -6/2), Y' (-9/2, -6/2), and Z' (-18/2, 6/2).

Thus, the required dilation is given as for Quadrilateral W'X'Y'Z' as W'(-3/2, 2), X'(2, -3), Y'(-9/2, -3) and Z"(-9, 3).

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Answer:

7

Step-by-step explanation:

[tex]\frac{f(6)-f(4)}{6-4}=\frac{26-12}{6-4}=7[/tex]

Answer:

62feet

Step-by-step explanation:

10x=620

x=62feet

The perimeter usually gives the length of the figure. In a square, which has al its sides equal, the perimeter of the square will be four times its sides. The maximum width of the rectangle is 62 feet.

The perimeter of a rectangle is defined as the total distance covered by its boundaries or the sides. Since the rectangle is comprised of four sides, the perimeter will be the sum of all four sides. The perimeter is a linear measure and its unit is m, cm, feet, etc.

The equation used to calculate the perimeter of a rectangle is given as:

Perimeter = 2 (l + b)

Here l = length

b = breadth

Here the length is four times the width, l = 4x

Width may be b = x

Then perimeter is:

P = 2 (4x + x) = 620

10x = 620

x = 620 / 10 = 62 feet

Thus the width is 62 feet.

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Answer:

  D.  A triangle with angles measuring 75°, 60°, and 45°​

Step-by-step explanation:

Given various triangle descriptions, you want to know which one describes more than one triangle.

The angles and sides of a triangle satisfy a few different relations:

A. Two sides and the included angle can be used with the Law of Cosines to find the length of the third side. That is, a single triangle is created by these measurements.

B. Sides measuring 4, 8, and 15 do not satisfy the triangle inequality, so no triangle is created by these measurements.

C. Sides measuring 6, 8, and 10 satisfy the triangle inequality, so will create a single triangle. (That triangle is a right triangle.)

D. The given angles total 180°, so could be the angle measures of any number of triangles. At least one side length must be specified in order to completely define a single triangle. These measures create more than one triangle.

Step-by-step explanation:

x + 7 = 11

x + 7 - 7 = 11 - 7

x = 4

Hope this helps! :)

Answer:

[tex]\displaystyle 4[/tex]

Explanation:

Use the inverce of Addition [Deduction (or Subtraction)] to arrive at your answer:

[tex]\displaystyle x + 7 = 11 \hookrightarrow -7 + 11 = x \\ \\ 4 = x[/tex]

I am joyous to assist you at any time.

By finding all the probabilities we will see that the event that is least likely to occur is the one in option D.

Let's find the probability for each event.

A) The probability is computed as the quotient between the outcomes that meet the conditions for the event and the total number of outcomes.

Here the outcomes are {1, 2, 3, 4, 5, 6, 7, 8}

The outcomes that meet the condition (less than or equal to 6) are:

{1, 2, 3, 4, 5, 6}

So 6 outcomes out of 8 meet the condition, the probability here is:

a = 6/8 = 3/4 = 0.75

B) The probability here is 1, as all the outcomes meet the condition of "landing in some color"

C) If there are 100 tickets in total and you have 29, then the probability of winning is:

b = 29/100 = 0.29

D) There are 10 strawberry chews and 50 cherry chows, so the total number of candy is 50 + 10 = 60, and 10 of these are strawberry chews, then the probability of taking one of these is:

d = 10/60  =0.167

So the smaller probability is the one for event D, that is the correct option.

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Answer:

Step-by-step explanation:

5x+30-35

5x-5

Answer:

[tex]5x[/tex] - [tex]5[/tex]

Step-by-step explanation:

Take a look at the attachment...

Hope this helps! :)

Answer:

Step-by-step explanation:

216÷3=72

72 is your answer

Answer:

a

Step-by-step explanation:

enjoy!

Answer:

b

Step-by-step explanation:

Answer:

- 42 , - 17

Step-by-step explanation:

(a)

substitute x = 5 into f(x) , that is

f(5) = 5² - 10(5) - 17 = 25 - 50 - 17 = 25 - 67 = - - 42

(b)

substitute x = 0 into f(x)

f(0) = 0² - 10(0) - 17 = 0 - 0 - 17 = - 17