g(x)=|-3x+16| if g(x)=17, find x

There are 56 possible ways to make a selection of coins so that the value is at least 25 cents.

The total number of possible ways to make a selection of coins so that the value is at least 25 cents is calculated using the formula:

# of ways = (n+r-1Cr-1)

Where n is the number of coin denominations available and r is the number of coins needed to make the selection.

In this case, n = 5 (1 cent, 5 cents, 10 cents, 25 cents, 50 cents) and r = 4. Therefore, the number of ways to make a selection of coins so that the value is at least 25 cents is calculated as:

of ways = (5+4-1C4-1)

of ways = (8C3)

of ways = 56

Therefore, there are 56 possible ways to make a selection of coins so that the value is at least 25 cents.

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The solution of the given expression will be 1.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

We are given the expression as;

[tex][(2/5)^{12}(3/16)^{-8}] \times [(2/5)^{12}(3/16)^{-8}]^{-1}[/tex]

Therefore, we can write as the fraction form;

[tex][(2/5)^{12}(3/16)^{-8}] \times [(2/5)^{12}(3/16)^{-8}]^{-1}\\\\[/tex]

[tex]\dfrac{[(2/5)^{12}(3/16)^{-8}] }{ [(2/5)^{12}(3/16)^{-8}]}[/tex] = 1

Then it will cancel out so,

= 1

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The engine's speed at which the vehicle's estimated horsepower at the wheels is greatest is given as follows:

1905 rpm.

The equation of a quadratic function, of vertex (h,k), is given by the following rule:

y = a(x - h)² + k

In which:

The value of h for this problem is given as follows:

h = 1905 rpm.

As the leading coefficient is negative, for h = 1905, the output has the maximum value.

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The table in the question which the values from the graph of the parabola is inputed is presented as follows;

Name [tex]{}[/tex]                     Key Feature             Name           Key Feature
x-intercepts[tex]{}[/tex]             (-1, 0), (3, 0)                Increasing      (-∞, 1)      

y-intercept[tex]{}[/tex]               (0, 3)                          Decreasing     (4, ∞)

Vertex[tex]{}[/tex]                      (1, 4)                            Positive           (-1, 3)

Axis of symmetry[tex]{}[/tex]     x = 1                           Negative        (-∞, 1), (3, ∞)

Domain[tex]{}[/tex]                    (-∞, ∞)                         Range            (-∞, 4]

The graph of a parabola is a u (or n) shaped curve obtained by the intersection of a cone and a plane which is parallel to the slant of the cone.

The x-intercepts are the point the graph intersects the x-axis, where the y-value is zero, y = 0. From the graph, the x-intercepts are;(-1, 0), and (3, 0)

The y-intercept is the point at which the graph intersects the y-axis, which is the point the x-value is 0, (x = 0). The graph indicates that the y-intercept is (0, 3)

The vertex of the parabolic graph is the highest (or lowest) point on the graph, therefore, from the graph in the question, the vertex point is; (1, 4)

The axis of symmetry is the line that divides the graph into two mirror halves, which is the line passing through the vertex and parallel to the y-axis. The axis of symmetry is therefore the line; x = 1

The domain is the set of the possible input values of the graph of the function, which is the set of the possinble x-values.

The graph indicates that the x-values can decrease and increase to -∞ and ∞. The domain is therefore; (-∞, ∞).

The region where the graph is increasing is fro x = -∞ to just before x = 1. The interval where the graph is increasing is therefore; (-∞, 1)

Similarly, the interval the graph is decreasing is; (4, ∞)

The graph is positive in the region above the x-axis. The interval over which the graph is positive is therefore between the x-intercepts, which is; (-1, 3)

The graph is negative in the region below the x-axis. The interval in which the graph is negative are; (-∞, 1), and (3, ∞)

The range is the set of possible output of the graph, therefore, the range is the set of the possible y-values, which is; (-∞, 4]

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Answer:-12x

Step-by-step explanation:

just trust me on this

The solution to the system of linear equations using the Equal Value Method is Y = -(8y / 6) - 21.

The Equal Value Method is a technique used to solve a system of linear equations. To solve a system of linear equations using the Equal Value Method, we first write out the two equations. In this case, we have the two equations:

Y = -8x - 21

y = 6x + 7

Next, we need to solve one of the equations for one of the variables. We can solve for x in the first equation, giving us x = (-21 - Y) / -8. We can then substitute this into the second equation, giving us y = (6(-21 - Y) / -8) + 7. We can then expand and simplify this equation, giving us y = (126 + 6Y) / -8.

Finally, we can set the two equations equal to each other and solve for Y. This will give us 126 + 6Y = -8y, which simplifies to 6Y = -8y - 126. We can then divide both sides by 6 to get Y = -(8y / 6) - 21.

Therefore, the solution to the system of linear equations using the Equal Value Method is Y = -(8y / 6) - 21.

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The equivalent of the rate is $2750 per month

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

The equivalent rate of $33,000/1year

There are 12 months in a year

So, we have the following representation

Rate =  $33,000/12 months

Evaluate the quotient

Rate =  $2750 per month

Hence, the equivalent rate is $2750 per month

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Answer:

599 and 550

Step-by-step explanation:

I'm not sure but I think it's 599 and 550

Increasing control risk will not have an impact on substantive testing sample size if all other factors remain constant.

If all other factors remain constant, then the substantive testing sample size will remain the same. The increase in control risk will affect the auditor’s overall assessment of risk and may result in the auditor deciding to perform more tests of controls, but it will not necessarily affect the substantive testing sample size.

Increasing control risk will not have an impact on substantive testing sample size if all other factors remain constant.

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The ordered pair that can be plotted together with these four points is (0, 3). Option C is the correct answer.

A relationship between inputs and outputs in which each input is connected to only one output is called a function.

For instance, f(x) = 2x + 1; f(1) = 2 + 1; f(2) = 2 x 2 + 1; 4 + 1; and so on.

The functions' 3 and 5 outputs are

The function's arguments are 1 and 2.

We've got

The graph's coordinates are as follows.

(3, -1), (2, 3), ), (-4, 2), and (-2, -3) (-2, -3)

Having said that,

Many-to-one but not one-to-many can exist in a function.

We therefore cannot have (-2, 0), (-2, 3). because we already had (-2, 3) and (3, 0). (3, -1).

This indicates an impossibility of a one-to-many function.

It is feasible (0, 3).

As a result, the ordered pair that can be plotted together with these four points is (0, 3). Option C is the correct answer.

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Answer:

B

Step-by-step explanation:

We always look original price for 1 or 100%, now increase 1/2, that is 50%

So now it is 100%+50%=150%

Answer:

MN = 15.5 units

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

The triangles are similar since all three angles are equal on both.

We know corresponding sides of similar triangles are proportional.

Set up proportions and find the missing side length:

Equating both equations, Nayati and Tatiana will have the same amount of savings after 21 weeks.

Equations are mathematical statements that show that there is equality between two or more mathematical expressions.

Equations are depicted using the equation symbol (=).

                       Nayati   Tatiana

Savings            $240     $450

Weekly savings $40       $30

Nayati total savings = 40w + 240

Tatiana total savings = 30w + 450

To determine the number of weeks when their savings will be equal, the two equations will be equated as follows:

40w + 240 = 30w - 450

10w = 210

w = 21

= 21 weeks

Thus, we expect Nayati and Tatiana to embark on their road trip after 21 weeks.

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The number of pies made by cooking club to raise the money for field trip is equal to 14 .

Number of pies given by cafeteria = 2

Number of pieces each pie cut into = 4

Total pieces donated by cafeteria = 8

Total number of pieces sold by cooking club = 64

Number of pieces made by cooking club = 64 - 8

                                                                     = 56

Total number of pies made by cooking club to raise the money

= 56 / 4

= 14

Therefore, the total number of pies made by cooking club to raise the money is equal to 14.

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Answer:

5.2

Step-by-step explanation:

9×3 and the root of that is 5.1961524

The expression used by commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5+7 is 7+3.(2.5).

The commutative property or commutative law of mathematics states that while executing mathematical operations, the order of terms is irrelevant.

Only addition and multiplication operations are under the purview of the commutative property. As a result, it means that while adding or multiplying any two integers, we can swap the positions of the numbers. One of the main characteristics of integers is this.

According to the commutative property of multiplication, even if the positions of the two integers are switched around, the result of multiplying two integers will still be the same.

Suppose A and B are two integers;

A × B = B × A

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Answer:

-3

Step-by-step explanation:

-3×(-3)×(-3)= 9×(-3)

= -27

The  slope and the y-intercept of the line are -1 and 5 respectively

It is important to note the general formula for the equation of a line is expressed with the formula;

y = mx+ c

Where the noted parameters of the equation are;

From the information given, we have the equation of the line as;

y = -x + 5

Now, we can have the parameters as;

Intercept, c = 5

Slope of the line, m = -1

Hence, the values are 5 and -1

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The probability that Nomusa will not take two of the same type of sweet is 0.35

To find the probability that Nomusa will not take two of the same type of sweets, we need to find the total number of combinations of two sweets she can take, and then find the number of combinations where the two sweets are different.

First, let's find the total number of combinations of two sweets:

C(30, 2) = 435

This means there are 435 different combinations of two sweets she can take from her collection of 30 sweets.

Next, let's find the number of combinations where the two sweets are not the same:

C(18, 2) + C(7, 2) + C(5, 2) = 153

This means that there are 153 combinations where the two sweets are different fruit sweets, different aniseed sweets, or different mint sweets.

So, the probability that Nomusa will not take two of the same type of sweet is:

153 / 435 = 0.35

This means that there is a 35% chance that the two sweets she takes will not be the same type of sweet.

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The perimeter of scale drawing of rectangular classroom floor is 42 inches.

Based on the mentioned information, let us first calculate the width of floor of classroom according to the scale drawing.

Length/width of original classroom floor = length/width of scale drawing

30/33 = 10/width

As we know, 1 foot = 12 inches

So, length = 360 inches and width = 396 inches

Width = (396 × 10)/360

Cancelling zero as it is common in both numerator and denominator

Width = 396/36

Performing division on Right Hand Side of the equation

Width = 11 inches

Perimeter of scale drawing = 2 (length + width)

Perimeter = 2( 10 + 11)

Performing addition

Perimeter = 2 × 21

Performing multiplication

Perimeter = 42 inches

Thus, perimeter of the rectangle is 42 inches.

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Answer:

V = πr^2h = πr^2(2r) = 2πr^3

Volume of the cone: The volume of a cone with height h and base radius r is given by the formula V = (1/3)πr^2h. In this case, the height of the cone is equal to the radius of the hemisphere, so h = r. Substituting this into the formula, we have:

V = (1/3)πr^2h = (1/3)πr^2r = (1/3)πr^3

Volume of the hemisphere: To estimate the volume of the hemisphere, we'll average the volumes of the cylinder and cone.

So:V = (2πr^3 + (1/3)πr^3) / 2 = (5/3)πr^3 / 2 = (5/6)πr^3

So the volume of the hemisphere is approximately equal to (5/6)πr^3, where r is the radius of the hemisphere (and equal to the radius of the cylinder).

Step-by-step explanation:

In the given choices, both (D) n = 300 and (E) n = 312 satisfies the inequality. So for both these options, the inequality is true.

We can solve for n by adding 93 to both sides of the inequality:

n - 93 > 175

Adding 93 on both sides

n - 93 + 93 > 175 + 93

n > 268

Therefore, the value of n that makes the inequality true is greater than 268.In the given options, n = 300 and n = 312 satisfy this condition. So this is inequality is true for both cases. The answer choice that fits this is (D) n = 300 and (E) n =312.

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Answer:

Step-by-step explanation:

The volume of a cone can be calculated as (1/3)πr^2h, so we can set that equal to 43.98:

(1/3)πr^2h = 43.98

Dividing both sides by (1/3)π:

r^2h = 43.98 * 3 / π

Solving for one of the variables in terms of the other requires choosing specific values for either radius or height. Here are two examples:

Example 1: Let's say r = 3.

Then

h = 43.98 * 3 / (π * 9) = 4.43

So one possible cone has height 4.43 and radius 3.

Example 2: Let's say h = 5.

Then

r^2 = 43.98 * 3 / (π * 5) = 25.51

So one possible cone has height 5 and radius 5.07.

Components of the unit vector are (cos(156), sin(156)) = (-0.41, 0.91). Drawing a vector with a positive y-component and an angle of 156 degrees with the x-axis in the xy plane will help you see it.

The unit vector has a positive y component and is located in the xy plane at a 156 degree angle to the x axis. Drawing a vector with a positive y-component and an angle of 156 degrees with the x-axis in the xy plane will help you visualise this. Components of the unit vector are (cos(156), sin(156)) = (-0.41, 0.91). This shows that the unit vector has both a positive y-component and a negative x-component. Since the unit vector's magnitude is 1, it has a length of 1, and it points in the same general direction as the 156-degree angle. In light of this, the unit vector is (-0.41, 0.91). Any vector with the same magnitude and direction as the unit vector but a different length can be represented by this vector.

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Answer: Perimeter because A=L X W and P= L+W+L+W

Step-by-step explanation:

The value 0.00073 feet per millisecond. in scientific notation is 7. 3 × 10⁴ feet per millisecond

Index forms are described as mathematical methods of writing or representing numbers that are too large or two small in more convenient forms.

They are written in the forms of exponents of numbers or variables,

There are other names for index forms which are scientific notation and standard forms.

From the information given, we have that;

The seahorse moves 0.5 miles per hour, or 0.00073 feet per millisecond

In converting 0.00073 feet per millisecond into index forms

count the number of zeros to the first significant number

7. 3 × 10⁴ feet per millisecond

Hence, the value is 7. 3 × 10⁴ feet per millisecond

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Answer:

x = 11/90 = 0.122

Step-by-step explanation:

7[tex]\frac{1}{2}[/tex]x - [tex]\frac{1}{4}[/tex] = [tex]\frac{2}{3}[/tex]

15/2x - 1/4 = 2/3

90/12x - 3/12 = 8/12

90/12x = 8/12 + 3/12

90/12x = 11/12

x = (11/12)(12/90) = 132/1080 = 11/90

Answer:

what we should do when we leave for every 25minutes