write the 0.216 in the form of p by q​

Answer:

b

Step-by-step explanation:

b

Answer:

The  49th term of the given sequence

t₄₉ = 28

Step-by-step explanation:

Step(i):-

Given sequence  460, 451,442,....

first term  a = 460

The difference of two terms of given sequence

 d = 451 -460 = -9

 d   = 442 -451 = -9

and so on

The given sequence is in arthematic progression(A.P)

Step(ii):-

The \(n^{th}\) of the given sequence

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

n = 49 , a = 460 and d = -9

The  49th term

\(t_{49} = 460 + ( 49-1 ) (-9)\)

\(t_{49} = 460 + ( 49-1 ) (-9) = 460 -432 = 28\)

Final answer:-

The  49th term of the given sequence

t₄₉ = 28

Real solutions = 4/5 and 3

Imaginary solutions = 3i

The quadratic equation x² + 1 = 0 has a solution in the imaginary unit or unit imaginary number I Although there isn't a real number associated with this attribute, addition and multiplication can be employed to expand real numbers to so-called complex numbers. A real number is the real root of an equation. A complex root is a fictitious root that is represented by complex numbers in an equation. Imaginary numbers are "real" in the sense that they exist and are used in mathematics, even though they are not real numbers because they cannot be defined on a number line. Complex numbers, often known as imaginary numbers, are used in quadratic equations and in real-world applications like electricity.

Given,

Equation

4x³ + 5x² + 36x + 45 = 0

x²(4x + 5) + 9( 4x + 5) = 0

x² + 9 + (4x +5) = 0

(x - 3 ) (x +3) + (4x+5) = 0

x = 3i

x = \(\frac{4}{5}\) and 3

Real solutions = 4/5 and 3

Imaginary solutions = 3i

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Answer:

The common difference between consecutive terms in the sequence is 8 (since -17 + 8 = -9, -9 + 8 = -1, -1 + 8 = 7, and so on). Therefore, the recursive formula for this arithmetic sequence is:

a(1) = -17

a(n) = a(n-1) + 8 for n >= 2

This formula says that the first term in the sequence is -17, and each subsequent term is found by adding 8 to the previous term.

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Answer:

43,200

Step-by-step explanation:

25,000x .20=5,000

30,000 x .20=6,000

36,000x.20=7,200

43,200x.20=8,640

51,840x.20=10,368

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                               and 1 12/15

Step-by-step explanation:

The required equivalent fractions for 3 10/15 and 1 12/15.

Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15

Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15

Thus, the required equivalent fractions for 3 10/15 and 1 12/15.

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Answer:

F(4)=5

Step-by-step explanation:

F(x)=x+1

F(4) means that x is 4

F(4)=4+1 = 5

F(4)=5

Answer:

3 ≠ -12

Step-by-step explanation:

2x + 3 = 2(x-6)

2x + 3 = 2x - 12

3 ≠ -12

Answer:

3 ≠ -12

Step-by-step explanation:

2x + 3 = 2(x-6)

2x + 3 = 2x - 12

3 ≠ -12

The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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The probability of getting a reading between 1.00°C and 1.75°C is B.

What do you mean by probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

According to the graphs in the given question,

We have three graphs in the question A,B,C,

And we can see that in the all of three graphs, the required probability is matched with graph B.

The probability of getting a reading between 1.00°C and 1.75°C is B.

Therefore, the correct graph is B.

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Answer:

I would think its the one you picked

Step-by-step explanation:

I dont know for sure. Sorry. You said anything. But i think its the last one. Very sorry if you get it wrong. I will feel horrible. But i hope its right!

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

Answer:

Step-by-step explanation:

P=puppy.    K=kitten.      w=week

P=2.8+0.5w

K=1.4+1.2w

K<P

1.4+1.2w<2.8+0.5w

1.2w<1.4+0.5w

0.7w<1.4

w<2

Answer: it C

Step-by-step explanation: if it not incorrect sorry for the wrong answer

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Step by step explanation:

_______________________________

Step 1:

\( - 4a + y\)

Write the equation

_______________________________

Step 2:

\( = - 4 \times ( - 5) + 7\)

Insert the values of a ie -5 and y ie 7

_______________________________

Step 3:

\( = + 20 + 7\)

Multiply- 4 with -5 to get 20

_______________________________

Step 4:

\( = 27\)

add 20 with 7 to get 27

_______________________________

⚡Final answer: 27

hope it helped you:)

Answer:

27

Step-by-step explanation:

We are given that a = -5 and y = 7 and we are asked to evaluate the expression -4a + y.

To evaluate the expression, we would plug -5 for a and 7 for y into the expression.

-4a + y = -4(-5) + 7 = 20 + 7 = 27

So -4a + y = 27.

I hope you find my answer and explanation to be helpful. Happy studying. :)

To describe the temperatures for the week, we can apply the following statistical tools:

a) Find the mean, median, mode, and range.

c) Construct a line graph.

d) Construct a stem and leaf plot.

We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).

The mean temperature is the average, which shows the overall trend in temperature changes.  It is computed by adding up the temperatures for the period and diving by the number of data values.

In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.

We can estimate the difference between the highest and lowest temperature for the week with the range.

A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.

Thus, we can use Options A, C, and D to describe the temperature.

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What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)

Mon - 65°

Tues - 67°

Wed - 66°

Thur - 70°

Fri - 72°

Sat - 68°

Sun - 69°

a) Find the mean, median, mode, and range.

b) Survey people about the weather.

c) Construct a line graph.

d) Construct a stem-and-leaf plot.

The number of ways that 4 books can be arranged on a shelf are= 24. That is option 2.

To calculate the number of ways 4 books can be arranged is the find the permutation.

That is ,

4! = 4×3×2×1

4! = 24

Therefore, the number of ways that 4 books can be arranged on a shelf are= 24

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Answer:

i need a bad bleep

Step-by-step explanation:

addison rae

Answer:

15

Step-by-step explanation:

3×9 =27

3×4= 12

27-12= 15

:) hope it helps

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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

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Answer:

$19.24

Step-by-step explanation:

Take 14.25 times 1.35.

The markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.

The markup rate is computed by dividing a unit's gross profit (its sales price less its cost to create or buy for resale) by its cost.

Barnes and Noble buy a book for $14.25. They mark up the price of the book by 35%.

As per the question, we have

cost = $14.25

markup rate = 35% = 0.35

Let's x represent markup for the book,

markup rate = markup/sale price × 100%

35% = x / $14.25

0.35 = x / $14.25

x = $14.25 × 0.35

Apply the multiplication operation, and we get

x = 4.9875

So sale price = markup + cost

So sale price = $4.9875 + $14.25

So sale price = $19.237

Thus, the markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.

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Answer:

Brown house driveway; larger by 5 feet

Step-by-step explanation:

Lets convert yds to ft

We know 3 ft = 1yd

3*7 = 21

so 7yds = 21 ft

Add the 9 ft

7yds 9ft = 21+9 = 30 ft

The house with the 35 ft driveway is longer by (35-30)  or 5 ft

Answer:

2\6 is the ratio

Step-by-step explanation:

brainliest pls

step by step explenation

thank you

Answer:

The answer is 100. One way to find it out is 1600/16, and then you get 100.