In a sequence if Tn = 5n² - 4 What is the sum of the 5th and 7th terms?
a)121
b)244
c)365
d)367​

The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

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Answer:

So?

Step-by-step explanation:

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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Answer:

D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.

We will investigate the application of transformation functions on coordinates.

We will classify the following transformations and their rules required:

Translation:-

It can be associated with either vertical or horizontal shifts of the funtion f ( x ) in a cartesian coordinate plane. The transformation function associated with translations can be generalized as follows:

Where,

The coordinate transformation rule that is applicable for all translations is as follows:

Where,

Dilation:-

It is the measure of the amount of stretch or compression that the original function f ( x ) has undergone relative to the point of reference usually its own center as follows:

Where,

Answer:

64in cubed

Step-by-step explanation:

Because if the vase if half full, half of 8 is 4. To find the volume of a cube is l x W x H. So 4 x 4 x 4= 64.

The statements that are true are B and D.

Given are some statements we need to check which is true.

Let's analyze each statement:

A. 4 is a perfect cube.

False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.

B. 16 is a perfect square.

True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.

C. 2,197 is both a perfect square and a perfect cube.

False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.

However, it is a perfect cube because 13³ equals 2,197.

D. 8 is a perfect cube.

True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.

E. 18 is neither a perfect square nor a perfect cube.

True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.

Therefore, the statements that are true are B and D.

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Answer:

-7

Step-by-step explanation:

Step-by-step explanation:

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2

so, it makes 1/2 cup of salsa (ignoring the minimal volume of pepper and salt).

1/2 cup = 6 servings

1 serving = 1/2 / 6 = 1/(2×6) = 1/12 cup

Step-by-step explanation:

22x + 2y = -14

2y = -22x - 14

y = -11x - 7

Answer:

28 m below the surface to catch its prey

Answer:

uh ew what is your pfp also its C

The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.

The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.

The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).

Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

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Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

 +21  +21

6x=24

/6    /6

x=4

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

The missing values are 8 and 23.

Missing x : 8

Missing y : 23

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

x      y

4     17

6     19

__   21

10   __

The missing values are 8 and 23.

The table has linear relationships.

This means,

There is an increase of 2 with the x values.

There is also an increase of 2 with the y values.

Thus,

The missing values are 8 and 23.

Missing x : 8

Missing y : 23

Option A is the correct answer.

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The graph of y = x2 –7x +12 is a parabola with x-intercepts at: {-3 and -4, or 3 and 4} and a vertex that is the: the x-intercepts are 3 and 4

The vertex is the lowest point on the curve

we know that

The equation of a vertical parabola in vertex form is equal to

y = a \((x-h)^{2}\) + k

where

(h,k) is the vertex of the parabola

if a>0 -----> then the parabola opens upward (a vertex is a minimum)

if  a<0 -----> then the parabola opens downward (a vertex is a maximum)

In this problem we have

y = \(x^{2}\) - 7x +12

a = 1

so

the parabola opens upward (a vertex is a minimum)

Find the x-intercepts of the quadratic equation

Equate the equation to zero

y = \(x^{2}\) - 7x +12

Group terms that contain the same variable, and move the constant to the opposite side of the equation

\(x^{2}\) - 7x = -12

Complete the square. Remember to balance the equation by adding the same constants to each side

\(x^{2}\) - 7x + 12.25 = -12 + 12.25

\(x^{2}\) - 7x + 12.25 = 0.25

Rewrite as perfect squares

\((x-3.5)^{2}\) = 0.25

square root on both sides

(x - 3.5) = (+/-) 0.5

x =3.5(+/-) 0.5

x = 3.5+0.5=4

x = 3.5-0.5=3

therefore

the x-intercepts are 3 and 4

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a variety of seemingly unrelated mathematical descriptions, all of which may be shown to define the same curves.

One definition of a parabola includes a line and some extent  (the focus) (the directrix). The directrix isn't the main focus. The locus of points therein plane that is equally spaced apart from the directrix and the focus is known as the parabola. A right circular conical surface and a plane parallel to a different plane that is tangential to the conical surface intersect to form a parabola, which is additionally known as a conic section.

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The volume of water which the tank holds when it is full is 136830 cm³.

The amount of space a three-dimensional solid shape takes up is referred to as its volume. Though difficult to visualise in any shape, it can be compared to others. In comparison to an eraser placed inside of it, a compass box has a larger volume. The area of any two-dimensional shape can be calculated by splitting it into equal squares. When calculating the volume of solid shapes, equal cubical units will also be divided.

If the both have diameter of 46 cm then the height of hemisphere is

46/2 = 23 cm = radius

Height of the cylinder = 90 - 23

                                     = 67

Volume of hemisphere + Volume of cylinder =  volume of water

volume of water = (2/3)πr³ + πr²h

volume of water = (2/3)π(23)³ + π(23)²×67

                            = 136830 cm³

                            = 136.83 l

Thus, the volume of water which the tank holds when it is full is 136830 cm³.

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The solution of the system of equation 3x + y = 3, 5x - y = 15 is x = 9 / 4 and y = - 15 / 4.

System of equation can be solved using different method such as elimination method and substitution method.

Let's solve the system of equation by elimination method.

Therefore,

3x + y = 3

5x - y = 15

add the equations

8x = 18

divide both sides of the equation by 8

x = 18 / 8

x = 9 / 4

x = 2 1 / 4

Let's find y.

3x + y = 3

y = 3 - 3x

y = 3 - 3(9 / 4)

y = 3 - 27 / 4

y = 12 - 27/ 4

y = - 15 / 4

Therefore, the solution are x = 9 / 4 and y = - 15 / 4.

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Answer: Hope This Helps!

Step-by-step explanation:

Simplify the expression.

Exact Form:

87/40

Decimal Form:

2.175

Mixed Number Form:

2 7/40

The number that is equal to four and five sixths is A. four and eighty three hundredths with the three repeating

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The number that is equal to 4 5/6 will be illustrated thus:

= 4 5/6

= 4 + 0.8333.

= 4.8333

In this vase, the 3 is repeating. Therefore, the correct option is A.

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Answer:

29a² - 3a - 12

Step-by-step explanation:

Given expression:

(6a+2)(6a-5)-(7a-1)(a-2)

Solution:

Apply distributive property.

\( \rm=(6a)(6a)+(6a)(-5)+(2)(6a)+(2)(-5)-7a^2+15a-2\)

\( \rm= 36a {}^{2} - 30a + 12a - 10 - 7a {}^{2} + 15a - 2\)

Combine like terms:

\( \rm=(36a {}^{2} - 7a {}^{2} )+( - 30a+12a+15a)+( - 10 - 2)\)

\( = \boxed{ \rm \: 29a {}^{2} - 3a - 12}\)

Done!

The angle measure of x, y and z are 104, 76 and 104 degrees respectively

The given. figure is a parallelogram with 4 interior angles. In a parallelogram, the sum of its adjacent angle is 180 degrees and its opposite angles are equal.

<A = <C

x = 104 degrees

For the measure of y:

x + y = 180

104 + y = 180

y = 180 - 104

y = 76 degrees

Since the sum of angles on a straight line is 180 degrees, hence;

y + z = 180

76 + z = 180

z = 104 degrees

Hence the measure of x, y and z are 104, 76 and 104 degrees respectively

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Answer: Jane can use the equation x = 47.5.

Step-by-step explanation:

From the given information, we know that one side opposite the house is 25 feet, and Jane will use a total of 120 feet of fencing. Since the fence goes around the other three sides of the yard, the combined length of the other two sides will be equal to 120 - 25 = 95 feet.

To determine the length of each of the other two sides, we can set up an equation:

2x = 95

The factor of 2 appears because there are two sides of equal length. By summing up the lengths of the other two sides, we obtain 2x.

Simplifying the equation, we have:

x = 95 / 2

x = 47.5

u diviide the number of candies by the number of people

Step-by-step explanation:

5/4

Answer:

Each child would get 1 1/4 of a candy bar

Step-by-step explanation:

If Seymour is 1 out of 4 kids and has 5 candy bars each kid gets 1 candy bar (4 candy bars) and then there is 1 candy bar remaining. This 1 candy bar can then be split into 1/4ths so each kid gets 1 1/4 candy bars.

Answer:  The correct answer is: [A]:

__________________________________________________

      " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

__________________________________________________

Step-by-step explanation:

__________________________________________________

Note that the "unit rate" is the term that refers to:

a "quantity" / or "quantitative value" ;  

      →  of some type of "countable units"

{e.g. "currency"  — [such as:  dollars, cents,  pounds] ; "distance/length/ width/ height" — [such as:  miles, kilometers, meters, centimeters, yards, feet, inches] ;  pieces of fruits — [such as:  number of apples;  cans of soda, number of red dresses] ;  

__________________________________________________

per "single unit" of something — {e.g. per hour; per minute; per mile; per ounce; per hour; per dollar, per kilometer, per day, per week.

  {e.g.

            →    " 3 apples eaten  per [single] apricot eaten" ;

            →  " 46 miles per hour.

            →   " 8.3 cents per oz."  ;

            →  " 5 Liters of soda per dollar " ;

            →   " 2.3 grams per mole " ;

            →  " 4.6 mg solute / kg of solvent " ;  

            →  " 5 km / hr " ;  {that is:  " 5 km per hr " } .

            →  " 3 yds. per [single] square inch."

            →  " 35 parts per hundred" ; {that is:  " 35 percent" ; or: " 35 % " . } .

            →    " ... The cilantro is on sale for 33 cents per bundle ...} ."

  →  ... to provide a few examples.  

__________________________________________________

    On on Cartesian plane graph,  the  "x-axis" is located on the "horizontal axis" that represents the "independent variable" (or, at times, the "experimental value" — which can be manipulated — or "controlled" —or  be subjected to being "manipulated" / "controlled" / or, "selected".

  The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

  So, if the "unit rate" represents the "single unit rate" ;  we look at "x = 1 " ;  since we are "choosing" this particular "single" rate of per "single" (i.e. "1" ) ; so we do not have a choice in what "y-value" of the particular graph to select.  We can control the fact that we are "choosing" to find the "unit" rate, so we select the "independent variable" , "x = 1 " . We then examine the "corresponding y-value" that happens to exist when "x = 1 " .

{Note that we have "no control" over what that "y-value" is ; at the: "[point which:  " x = 1 .] . "

_________________________________________________  

→  As such, that "y-value" [insert that numeric "y-value" ;                        followed by the units represented by the "y-axis" ] ;

           per  " 1 " [insert "single unit" represented by the "x-axis" ] ;

_________________________________________________    

          →   is the:  "unit rate" .

__________________________________________________

So:  

   The correct answer is:    [A]:  

__________________________________________________

    " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

Answer:  200 miles

Work Shown:

(1.25 inches)/(250 miles) = (1 inch)/(x miles)

(1.25)/(250) = 1/x

1.25x = 250*1 ..... cross multiplication

1.25x = 250

x = 250/(1.25)

x = 200 miles

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

ABCD is an inscribed polygon ⇒ Given

m∠ABC = 2(m∠D)                      ⇒ Inscribed Angle Theorem

m∠CDA = 2(m∠B)                      ⇒ Inscribed Angle Theorem

m∠ABC + m∠CDA = 360°         ⇒ The sum of arcs that make a circle is 360°

2(m∠D) + 2(m∠B) = 360°           ⇒ Substitution property

m∠D + m∠B = 180°                    ⇒ Division Property of Equality

Hence, ∠D and ∠B are supplementary angles

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