Find the 25th term of an arithmetic sequence whose first term is 12 and whose common difference is ‒6.
A.
‒144
B.
132
C.
‒132
D.
156

Answer: YES

Step-by-step explanation:

Convert liters to gallons. Need to show 2 half gallons ≥ 3 liters

[tex]\frac{3(liters)}{} * \frac{1(gallon)}{3.785(liters)} = 0.7926 gallons[/tex]

[tex]2*\frac{1}{2} gallons = 1 gallon[/tex]

               2 half gallons ≥ 3 liters

              1 gallon ≥ 0.7926 gallons

                          TRUE

Distance traveled by Deon to ride a bicycle trail = 15 mile

Average speed of Deon to ride a bicycle trail = 20 mi/hour

Let 'T' be the time taken to ride the bicycle trail.

We will use distance speed formula to write the equation to find the time 'T' in hours, for the ride.

Distance =[tex]\frac{Speed}{time}[/tex]

[tex]15 = \frac{20}{T}[/tex]

So, [tex]T = \frac{20}{15}[/tex]

This equation will be used to find the time 'T' in hours for the ride.

Answer:

$19.61

Step-by-step explanation:

To find how much Selena spent, multiply the amount by the price per pound. She spent 5.62 (3.49) = $19.61.

  From the graph attached, Options (1) and (3) represent the correct points (local minimum and global maximum).

    If there are multiple peaks and troughs in the graph of a function, highest peak will be the global maximum and lowest point will be the global minimum.

 From the graph attached,

(4, 4) is the highest but the lowest point is in the infinity.

Therefore, (4, 4) will be the global maximum and no global minimum.

Other point in the trough (-2, -2) will be local minimum and the points on  peaks (0, 2) and (-4, 3) will be local maximum.

  Therefore, Options (1) and (3) will be the correct options.

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The true statements about the extrema of the graphed function are: Options (1) and (3).

The highest point on the graph is at (4, 4), and this will be considered the highest point overall, which we call the "global maximum."

As the graph appears to continue downward indefinitely. In such cases, we say there is no "global minimum" because there isn't a single lowest point that stands out.

There are also some points within the peaks and troughs of the graph:

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parent graph: f(x) = |x|

shifted 6 units down: f(x) = |x| - 6

then shifted 4 units to the right: f(x) = |x - 4| - 6

then vertically stretched by 2: f(x) = 2|x - 4| - 6

This means the vertex (0, 0) has moved to (4, -6) and the slope is 2

**************************************************************************************

   f(x) = |x|                                      f(x) = 2|x - 4| - 6

   x     y                                         x                              y          new coordinate

   -2    2                               -2 + 4 = 2           2(2) - 6 = -2                   (2, -2)

   -1     1                                -1 + 4  = 3           1(2) - 6 = -4                    (3, -4)

   0     0    vertex                0 + 4  = 4           0(2) - 6 = -6  vertex       (4, -6)

    1     1                                 1 + 4  = 5           1(2) - 6 = -4                    (5, -4)

    2    2                                2 + 4 = 6           2(2) - 6 = -2                   (6, -2)

Plot the NEW COORDINATES for the transformed graph.

Answer:

e=±3√T

Step-by-step explanation:

We are given

p: 1 is the multiplicative identity

Firstly, we will verify whether it is true

Multiplicative identity:

[tex]A \cdot 1=A[/tex]

Here , 1 is the multiplicative identity

So, 1 is multiplicative identity

so, statement p is true

q: a · 0 = a

we know that whenever we multiply any expression by 0

It will result in 0

so, this statement is false

now, we will verify each options

option-A:

p \/ q

so, we can plug

T \/ F = T

so, this is TRUE

option-B:

p /\ q

so, we can plug

T /\ F = F

so, this is FALSE

option-C:

p --> q

we can plug

T-->F = F

so, this is FALSE

The statements p \/ q (p OR q) is true since the proposition p is true and hence the whole OR operation is true, p /\ q (p AND q) and p --> q (p implies q) are false since the proposition q is false.

The given propositions are "p: 1 is the multiplicative identity" and q: a · 0 = a. Let's analyze each proposed relation among them:

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So with what we know we can set up two equations to  solve for the CDs and the players.

$12(300) = total earnings for cds

= $3600 total cds sold

$35(100) = total earnings for cd players

=$35000

add both of the totals of the CDs and the CD players to get the total earnings

$3600+$3500 = $7100 gained in total from both products sold

Answer:

it is about 15 yd

Step-by-step explanation:

add the squares. about 15 squares. Just got this correct

Your answer is A. If we find the slope of the line and draw it out farther, we can see that the points 4,7,10, and 13 would fall on that line.

Answer:

The answer is A. Hope I helped ^-^

Step-by-step explanation:

speed = 6.4 Km per hour

speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{38.4}{6}[/tex] = 6.4 Km per hour

Answer:

Ryo ordered [tex]\frac{12}{5}[/tex] of the number of eggs his restaurant needs.

Step-by-step explanation:

Suppose, the number of eggs his restaurant needs is  [tex]x[/tex]

Ryo ordered 240% as many eggs as his restaurant needs. So, the number of eggs he ordered [tex]= x\times 240\% = x\times \frac{240}{100}= 2.4x[/tex]

For finding the fraction of the number of eggs his restaurant needs, we just need to divide "number of eggs ordered" by the "number of eggs needed".

So, the fraction will be:  [tex]\frac{2.4x}{x}= 2.4 = \frac{24}{10}= \frac{12}{5}[/tex]

That means, Ryo ordered [tex]\frac{12}{5}[/tex] of the number of eggs his restaurant needs.

Ryo ordered 12/5 of the number of eggs his restaurant needs.

Given that Ryo accidentally ordered 240% percent as many eggs as his restaurant needs, to determine what fraction of the number of eggs his restaurant needs did Ryo order, the following calculation must be performed:

Therefore, Ryo ordered 12/5 of the number of eggs his restaurant needs.

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Answer:

The three digit natural number is 789.

Step-by-step explanation:

Let the fist digit be x

The second digit will be x + 1

The third digit will be x + 2

So x + x + 1 + x + 2 = 24

3x = 24 - 3

3x = 21

x = 7

The first digit is 7, the second digit is 8 and the third digit is 9

The three digit natural number is 789.

Answer:

A and B are not independent events because P(A|B)≠P(A)

is the correct answer.

Step-by-step explanation:

If A and B are independent then we must have

P(AB) = P(A) P(B) and also

P(A/B) = P(A)

We are given that

A and B are two events.

Let P(A)=0.5 , P(B)=0.25 , and P(A and B)=0.15 .

P(A/B) = P(AB)/P(B) = 0.15/0.5 = 0.3

i.e. P(A/B) is not equal P(A)

Similarly P(B/A) = P(AB)/P(A) = 0.15/0.25 = 0.6 not equal to P(B)

Hence A and B are not independent.

Answer:

Step-by-step explanation:

A and B are not independent events because P(A|B)≠P(A)

is the correct answer.

No I don't believe so, a proportional relation ship would be h= g x 3. So I believe it would be g3=h9 g6=h18 g9=h27. So that when you divide h by 3 it will always equal g. I hope this helped and wasn't too confusing.

The relationship between these 2 g and h is that h=gxg but that is not really constant with it, I hope that helps

Answer:

C) 14 units

Step-by-step explanation:

The equation is in standard form, so the larger denominator is the square of the semi-major axis. That length is √49 = 7, so the major axis length is 2·7 = 14. This length is the length of the string.

[tex](5x+3)^2\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=(5x)^2+2(5x)(3)+3^2\\\\=5^2x^2+30x+9\\\\=25x^2+30x+9\to D.[/tex]

Answer:

option D is correct

The result in standard form is,

[tex]25x^2+30x+9[/tex]

Step-by-step explanation:

The standard form of the equation is given by:

[tex]y = Ax^2+Bx+C[/tex] where, A, B and C are the coefficient and x is the variable.

Using the identity rule:

[tex](a+b)^2 = a^2+2ab+b^2[/tex]

Expand the expression:

[tex](5x+3)^2[/tex]

Apply the identity rule:

[tex](5x)^2+2(5x)(3)+3^2[/tex]

⇒[tex]25x^2+30x+9[/tex]

The result in standard form is, [tex]25x^2+30x+9[/tex]

Therefore, the result in standard form is, [tex]25x^2+30x+9[/tex]

Answer:

Perimeter = 2x + 64

Step-by-step explanation:

Perimeter = Sum of the lengths of the borders

From the given figure, we need to find the missing length.

Missing length = 18 - 10 = 8

Another missing length = (x + 14) - (x + 8) = x + 14 - x - 8

= 14 -8

= 6

Now let's add all the sides.

Perimeter = x + 14 + 8 + 6 + 10 + x + 8 + 18

Now add all the x terms and constants

Perimeter = 2x + 64

4 cannot go into 23 equally BUT! if you do 23 divided by 4 you'll get 5.75 which rounds up to 6. So on average she'll need 6 bowls for her 23 strawberries.

Edit: It should be 5 bowls because if she wants to put an equal amount of strawberries into her bowls it should be 5.

Hope it helped. :)

~Noodles~

Answer:

Dilation : The meaning of Dilation is that by taking a fixed center and certain real number we can either enlarge an image or reduce it's size without actually changing it's shape. it totally depends on amount by which we are dilating if it is a real number greater than 1 the size of image increases otherwise shrinks means smaller in size.

The original image is called Pre-image and after dilation that changed image is called image.

So, we can say that Dilation is a function because for each different scale factor or different real number we get different images.

So, Out of all the four options given first looks completely true about Dilation.

i.e   A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.

A dilation is a function because every point on the pre-image corresponds to exactly one point on the image. This is the definition of a function in mathematics. The scale factor and the congruity of the image to the pre-image are irrelevant to the classification of dilation as a function.

The correct statement is:

A dilation is a function because every point on the pre-image corresponds to exactly one point on the image

. In mathematics, dilation is a transformation that changes the size, but not the shape, of a figure. For a dilation to qualify as a function, each point in the pre-image must correspond to exactly one point in the image, without any point in the pre-image being mapped to more than one point in the image. This is the definition of a function: a relation from a set of inputs (the pre-image) to a set of possible outputs (the image) where each input is related to exactly one output. The scale factor and the congruity of the image to the pre-image have no bearing on whether a dilation is a function or not.

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Answer:

?? separate the equation more because i don't understand

Step-by-step explanation:

Triangles ΔWXY and ΔWVZ are similar because they are both isosceles with two pairs of congruent angles and a shared vertex angle, which satisfies the AA similarity criterion.

To prove that triangles ΔWXY and ΔWVZ are similar, we need to establish that they have the same angle measures and their sides are proportional. Since we know ΔWXY and ΔWVZ are both isosceles triangles, they have two angles of equal measure. Specifically, the base angles of an isosceles triangle are congruent, therefore in ΔWXY, angles WYX and WXV are equal, and in ΔWVZ, angles WZV and WVZ are equal.

We also know that these triangles share the vertex angle at W, which means ΔWXY and ΔWVZ both have the angle W in common. This establishes that all corresponding angles between ΔWXY and ΔWVZ are congruent. Since both triangles are isosceles and have two pairs of congruent angles (base angles) and a common vertex angle, they are similar by the AA (Angle-Angle) similarity criterion. The ratio of the sides opposite the equal angles in isosceles triangles should be constant, thereby confirming the similarity.

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The temperature increase can be represented by the expression 7°F + 7°F, which simplifies to 14°F.

The expression to represent the temperature increase from -7 degrees Fahrenheit at 6:00 am to 7 degrees Fahrenheit at noon is as follows:

Temperature increase = Final temperature - Initial temperature

Substituting the values, we get:

Temperature increase = 7°F - (-7°F)

Simplifying, we have:

Temperature increase = 7°F + 7°F

Temperature increase = 14°F

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The false statement is B: 'Some irrational numbers are also rational numbers.' This is incorrect because a number cannot be both rational and irrational by definition.

The false statement among the options provided is option B: Some irrational numbers are also rational numbers. This is false because by definition, irrational numbers and rational numbers are distinct sets of numbers with no overlap. A rational number can be written as a ratio of two integers, which means it can be expressed as a fraction. On the other hand, an irrational number cannot be written as a ratio of integers. Thus, a number cannot be both rational and irrational at the same time.

To clarify the other options, option A is true because zero can be represented as the ratio 0/1, making it a rational number. Option C is true because irrational numbers such as π (pi) and √2 (the square root of 2) are indeed part of the set of real numbers. Option D is true because all integers can be expressed as a ratio where the denominator is 1, making every integer a rational number.

-6 *3=-18 .          

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[tex](5y^3+2y^2-7y) + (12y^3-4y^2+8)\\\\=5y^3+2y^2-7y+12y^3-4y^2+8\\\\=(5y^3+12y^3)+(2y^2-4y^2)+(-7y)+(8)\\\\=17y^3-2y^2-7y+8[/tex]