This Line Graph shows the number of mobile phones sold during by a dealer each month of the first half of the year. Why is the Line Graph is misleading?


A. The vertical axis represents the number of mobile phones.
B. The intervals along the vertical axis are not equal.
C. The categories along the horizontal axis are missing one of the months.
D. The number of mobile phones sold in the month of April is greater than any those sold in other month.

Answer:

(4p^2-28pq)

Step-by-step explanation:

You have to times 4p by p meaning you get 4p squared as p multiplied by p gets you a squared. for the second half, 4x7= 28, and p multiplied by q is pq so it would be 28pq

\((a + c) ^{2} = t \\ c = \sqrt{t } - a \\ c = - \sqrt{t} - a\)

\(p = 3(y + 2x) ^{2} \\ x = \frac{ \sqrt{3p} }{6} - \frac{y}{2} \\ x = - \frac{ \sqrt{3p} }{6} - \frac{y}{2} \)

Answer:

Y - X = 1.5

Step-by-step explanation:

Y = 3

X = 1.5

Answer:

The smallest square number  that can be written using five different  Roman numerals is 10,000.

The result of the number divided by 24 is \(416 \dfrac{2}{3}\)

Step-by-step explanation:

The lowest digit which can be written using five different Roman numerals is 10,000.

Therefore, the smallest square number must be greater than or equal to 10,000.

\(\sqrt{10,000} =100\)

Therefore, the smallest square number  that can be written using five different  Roman numerals is 10,000.

Next, we divide the number by 24.

\(10,000 \div 24 =416 \dfrac{2}{3}\)

The result of the number divided by 24 is \(416 \dfrac{2}{3}\)

Answer:

option d is correct-$0.05 per cough drop.

Explanation:

19 medicated cough drops cost=$0.99

1 medicated cough drop cost=0.99×1/19

=0.05

So, the cost of per cough drop is $0.05

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The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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The required sale for the year is given as $833,333.34.

Given that,
A real estate agent makes an annual salary of $25,000 plus 3% commission on sales. She wants to make at least $50,000 per year.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the sales be x,
according to the question,
25000 + 0.03x = 50000
0.03x = 25000
x = 25000/0.03
x = $833,333.34

Thus, the required sale for the year is given as $833,333.34.

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Hi there.

The answer is D. - 2

Explanation:

We calculate the slope by using rise/run.

\(m = \frac{y_2 - y_1}{x_2 - x_1} \)

Our rise is (-2,5) and our run is (3,-5)

\(m = \frac{ 5 -( - 5 )}{ - 2 - 3} \\ m = \frac{ 5 + 5}{ - 5 } \\ m = \frac{10}{ - 5} \\ m = - 2\)

Answer:

Tthe slope of the line will be: m = -2

Hence, option D is true.

Step-by-step explanation:

Given the points

Finding the slope between (-2, 5) and (3, -5)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-2,\:5\right),\:\left(x_2,\:y_2\right)=\left(3,\:-5\right)\)

\(m=\frac{-5-5}{3-\left(-2\right)}\)

\(m=-2\)

Therefore, the slope of the line will be: m = -2

Hence, option D is true.

Answer:

here is your answer  attached

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1. Find the equation of the solid line: y=x+4

2. Notice the shading is ABOVE the SOLID line, so y ≥ x+4.

3. Find the equation of the dotted line: y = -x - 1.

4. Again, the shading is ABOVE the line, so y > -x - 1

5. Check:

    Select any point in the shaded region - such as (0,8)

    Replace x with 0 and y with 8 in BOTH inequalities to see if they make TRUE statements

    Ex: 8 ≥ 0 + 4? YES

          8 > -0 -1? YES

Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function

if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.

We know that Mayerlin wants to ride her bicycle for 56 miles this week, and she already has ridden 8 miles, so the distance left is:

56mi - 8mi = 48mi

Now, to find the average distance that she needs to ride each day in order to meet her goal, we need to take the quotient between the distance left and the number days that she has left (6 days), then we will get:

D = 48mi/6 = 8mi

This means that if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.

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Answer:

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

Find the differences in the sequence  -11, -7, -3, 1, ...

The difference is common, so the sequence is an AP.

The nth term is:

Find the 52nd term:

Find the 52nd term using the given formula:

Find the previous term:

Find the common difference:

Answer:

\(\begin{aligned}\textsf{34)} \quad d&=4\\a_n&=4n-15\\a_{52}&=193\end{aligned}\)

\(\begin{aligned}\textsf{35)} \quad d&=-4\\a_{52}&=-238\end{aligned}\)

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Given sequence:

To determine if the given sequence is arithmetic, calculate the differences between consecutive terms.

\(a_4-a_3=1-(-3)=4\)

\(a_3-a_2=-3-(-7)=4\)

\(a_2-a_1=-7-(-11)=4\)

As the differences are constant, the sequence is arithmetic, with common difference, d = 4.

The explicit formula for an arithmetic sequence is:

\(\boxed{a_n=a+(n-1)d}\)

where:

To find the explicit formula for the given sequence, substitute a = -11 and d = 4 into the formula:

\(\begin{aligned}a_n&=-11+(n-1)4\\&=-11+4n-4\\&=4n-15\end{aligned}\)

To find the 52nd term, simply substitute n = 52 into the formula:

\(\begin{aligned}a_{52}&=4(52)-15\\&=208-15\\&=193\end{aligned}\)

Therefore, the 52nd term is a₅₂ = 193.

\(\hrulefill\)

Given explicit formula for an arithmetic sequence:

\(a_n=-30-4n\)

To find the common difference, we need to compare it with the explicit formula for the nth term:

\(\begin{aligned}a_n&=a+(n-1)d\\&=a+dn-d\\&=a-d+dn\end{aligned}\)

The coefficient of the n-term is -4, therefore, the common difference is d = -4.

To find the 52nd term, simply substitute n = 52 into the formula:

\(\begin{aligned}a_{52}&=-30-4(52)\\&=-30-208\\&=-238\end{aligned}\)

Therefore, the 52nd term is a₅₂ = -238.

Answer:

yes I just checked it

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer:

2.2

Step-by-step explanation:

(1.85 x 2) - 1.50

...............

The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.

The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.

The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.

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Answer:

ummm the answer is very simple

The answer is 0/6

Step-by-step explanation:

\( \frac{1}{2 \times 3} - \frac{1}{6} \)

\( \frac{1}{6} - \frac{1}{6} \)

\(1 - 1 = \frac{0}{6} \)

The number of tablets that should be taken each day by the patient who needs Synthroid is 1 tablet.

To find the number of tablets of Synthroid that should be taken, you convert the requirements from micrograms ( μg ) to milligrams ( mg).

1 milligram = 1, 000 micrograms ( μg )

25. 0 μg in milligrams is therefore:

= 25 / 1, 000

= 0. 025 mg

This means that the number of tablet to take is:

= Mg requirement / Mg of tablet

= 0. 025 / 0. 025

= 1 tablet

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Answer:

58.1

Step-by-step explanation:

8.6 is your diameter. You need to find the radius first which is always half of you diameter. Knowing that your radius is 4.3.

The formula you use for area is:

a = \(\pi\)r²

a = \(\pi\)4.3²

a = 58.08805

Rounded to the nearest tenth is:

58.1

Answer:

Step-by-step explanation:

1.   perpendicular slope will be the negative of the reciprocal

2.  so this will be -3 ( since the reciprocal of 1/3 is 3 and its negative is -3

3.  So use the values given for x and y (3,-4)

4.   substitute in the given equation using the -3 for the slope instead of 1/3

5.  To find a new b we substitute  for x and y

5.  y = 1/3x + 10

6.  -4 =  -3 (3) + b

7.   -4= -9+ b

8. b = 5

Equation of the line will be y = -3x + 5

Answer:

95 is the answer I took the test

Answer:

cost of paint set  =$19.5

cost of Sketchbook = $13

cost of brush =  $3..25

Step-by-step explanation:

Total money with Nate = $37.75

Let the cost of paint set be $x

As the  Sketchbook cost 2/3 the cost of the paint set

Thus cost of Sketchbook = $(2/3)x

Cost of brush is 1/4 of Sketchbook

Thus cost of brush = (1/4)*(2/3)x =$ 1/6x

Total cost of all the three item in terms of x  is

x + (2/3)x + ( 1/6)x

=>(6x+4x+x)/6 = 11x/6

Given that after money spent on buying all the three thing Nate has left $2

subtracting money spent on buying three things from total money is equal to $2

Mathematically it can be written as

$37.75 -  11x/6 = $2

=> $37.75  - $2  11x/6

=>$35.75 =  11x/6

=> $35.75*6 = 11 x

=> $214.5 = 11x

=> $214.5/11 = x  

=> x = 19.5

Thus,

cost of paint set  = x = $19.5

cost of Sketchbook = $(2/3)x =$(2/3)*19.5 = $13

cost of brush = $ 1/6x = $ (1/6)*19.5 = $3.25

\( \huge \: \tt \green{Answer} \)

Olivia and kieran share ratio 2 : 5

\( \texttt{olivia's share \: of \: money = £42 }= \frac{2}{7} \\ \)

Total Amount of Money = Olivia's share of money × Reciprocal of olivia's share

\( \tt \: = > 42 \times \frac{7}{2} \\ \\ = > 147\)

Kieran's share of Money =

\( = > 147 \times \frac{5}{7} \\ \\ = > \sf{ \pink{£105}}\)

Answer:

2

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = (34-8)/(20-7)

    26/13

  = 2

Answer:

2

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

= (34 - 8) / (20 - 7)

= 26/13

= 2

Hope this helps!

Answer:

-3x^2+11x+2

Step-by-step explanation:

hope this helps!

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Ok

Data

Well, speed = distance/ time

time = 3.5 minutes

Ok

The correct answer is feet/minute