Here are the first five terms of a number sequence.
45
40
35
30
25
Write down the next two terms of this sequence.

Answer:

-1 = 1/3 * 6 - 3

Step-by-step explanation:

So if it goes through point (6, -1) and has a slope of -1/3, all of this is parts of the slope intercept equal, Y = mx - B. You have the slope, which is m in the equation, y = -1/3 x - b. you already have a y and x which are the points passed, -1 = -1/3 * 6 - b, but this can't equal y, so you must have did it wrong, the only way this could equal y is if the slope wasn't negative, and in that case it would be -1 = 1/3 * 6 - 3. Because 1/3 * 6 is 2 and then subract 3 and you get -1.

Answer:

Step-by-step explanation:

We need to find the equation of the line with:

The slope intercept form is:

We have the slope, find the y-intercept by substituting the coordinates and slope values into equation above:

The line is:

Integer - 19 (1/8)inch board would be left after cutting from 34(1/4) inch board

What is an Integer ?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. When expressed in mathematical terms,

34 (1/4) inch board = 137/4 ----(1)

Cut piece = 14 3/4 = 59/4 ----(2)

saw cut 3/8 = 3/8 --------(3)

To calculate the board which is left after cutting will be

                                                          = 137 / 4 - 59 / 4 - 3/8

                                                          = 137 - 59 / 4 - 3 / 8

                                                          = 39 / 2 - 3 / 8

                                                          = 312 - 6 / 8

                                                          = 306 / 16

                                                          = 153 / 8

or,                                                       = 19 (1/8)inch

Hence, 19(1/8)inch board will be left after cutting

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0. From the given graph, the cumulative frequency value indicates the number of students, we have 100 total number of students .

• so,Median is half of the students = 100/2 = 50

the value of test score that corresponds with 50 = 55 test score

• This means that the median , 50 students scored 55 % in the exa,m.

2. Finding the lower quartile Q1 :

since we have 100 students , 100/4 = 25, so Q1 = 25

the value that corresponds with cumulative frequency of 25 = 45

• This means that 25 students scores 45 %

3. Finding the Interquartile range :

IQR = Upper Quartile -Lower Quartile

Upper quartile = Q3 = 75 students : 60 %

and lower quartile = 45%

So,

IQR = 60-45

= 15

• This means that 15 students got 35 %

Answer:

wheres it at?

Step-by-step explanation:

#Everything4Zalo

Answer:

n = 80

Step-by-step explanation:

Just subtract 75 on both sides.

Answer:

you need exactly 0.72 fertilizer but since its pounds, you round up so the answer is 1 pound.

Step-by-step explanation:

The amount of fertilizer required to cover 1 square foot of ground is 0.72

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Amount of fertilizer required to cover 25 square foot ground = 18 pound

Amount of fertilizer required to cover 1 square foot ground = Amount of fertilizer required / total square foot ground

Amount of fertilizer required to cover 1 square foot ground = 18 / 25

Therefore , Amount of fertilizer = 0.72 pound

Hence , the amount of fertilizer required to cover 1 square foot of ground is 0.72

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The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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Answer:

Step-by-step explanation:

2. 8n= -2

n= -1/4

4. -8s= 32

s= -4

6. 1/7b= -7

b= -49

The perimeter of the trapezoid is given as follows:

44 cm.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The missing side is a side of a right triangle, in which the other side is of 18 - 10 = 8 cm, while the hypotenuse is of 10 cm, hence:

8² + h² = 10²

64 + h² = 100

h² = 36

h = 6.

Hence the perimeter is given as follows:

P = 18 + 10 + 10 + 6 = 44 cm.

The trapezoid is given by the image presented at the end of the answer.

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3/4 = 12/y

3/4 * y = 12

.25 * y = 12

y = 3

Hope this helps! :)

Answer:

You are given 3 similar candy bars and are told that they altogether weigh less that 15 grams

The solution of the inequality, x < 5 tells us that the mass of each candy bar is less than 5 grams

9514 1404 393

Answer:

  309.33π yd³

Step-by-step explanation:

We can subtract the volume of the sphere from the volume of the cone, but we'd like to point out that said difference is irrelevant to the problem. The sphere does not fit into the cone. We cannot tell exactly how the composite figure is constructed.

__

Cone volume is ...

  V = 1/3πr²h

  V = 1/3π(10 yd)²(23 yd) = 2300π/3 yd³

Sphere volume is ...

  V = 4/3πr³ = 4/3π(7 yd)³ = 1372π/3 yd³

The difference between the cone volume and the sphere volume is ...

  (2300 -1372)π/3 yd³ ≈ 309.33π yd³

Answer: 235.5

Step-by-step explanation:

CYLINDER VOLUME FORMULA

V = pi * r^2 * h

V = 3.14 * 5^2 * 3

V = 3.14 * 25 * 3

V = 3.14 * 75

V = 235.5

Answer:

235.62

Step-by-step explanation:

formula: V=π\(r^{2}\)h=π·\(5^{2}\)·3

Answer:

y is equal to nine and two thirds, or 9.666...

Step-by-step explanation:

To solve this, we first need to know the value of x.  We can see though that x + (x - 12) is equal to 180 degrees, so:

x + 5x - 12 = 180

6x = 192

x = 32

Now that we have x, we can use the same rule to solve for y:

3y - 8 = x

3y - 8 = 32

3y = 40

y = 40 / 3

So y = 40/3, or 9 and 2/3

Bonus:

I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.

If that were the case we'd have:

3y + 8 = 32

3y = 24

y = 8

A nice clean answer

To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.

To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

Answer:

False. -50 is less than 42 because it’s a negative and 42 is a positive.

Step-by-step explanation:

-6 x -7 = 42

-100 ÷ 2 = -50

Answer:

false

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

C. No because the height of 151 cm is paired with two wrist circumferences.

Step-by-step explanation:

1. The relationship as a function r = f(t) is: r = (9 - 2t)/9.

2. The numeric value at t = -9 is: f(-9) = 3.

3. The value of t for which f(t) = 5 is t = -18.

The relationship is given as follows:

9r + 2t = 9.

To write the relationship as a function of t, we have to isolate the variable r as a function of the variable t, hence:

9r = 9 - 2t

r = (9 - 2t)/9.

To find the numeric value at t = -9, we replace the lone instance of t in the relationship by -9, hence:

r = (9 - 2(-9))/9 = 27/9 = 3.

To find when f(t) = 5, we have to find t for which f(t) = 5, hence:

9r = 9 - 2t

2t = 9 - 9r

2t = 9 - 9(5)

2t = -36

t = -36/2

t = -18.

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The zeros of the polynomial function are x = -1 and x = 5

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

y = x⁴ - 4x³ - 4x² - 4x - 5

To calculate the zeros of the polynomial function, we create a graph of the polynomial

The point where the graph intersect with the x-axis are the zeros of the polynomial function

using the above as a guide, we have the following:

Zeros: x = -1 and x = 5

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Step 1: Take the common logarithm of both sides of the equation. Use the power property to bring the exponent, (2x+1), down as a factor.

Step 2: Solve the equation from step 1 for x. Round your final answer to the nearest hundreth.

(2x+1)*log(5) = log(8)

2x+1 = log(8)/log(5) = ~ 1.29203

2x = 0.29203

It's True because zero cannot divided by any number it is undefined.

In mathematics, division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as a/0, where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number that, when multiplied by 0, gives a (assuming a ≠ 0); thus, division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 is also undefined; when it is the form of a limit, it is an indeterminate form. Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to a/0 is contained in Anglo-Irish philosopher George Berkeley's criticism of infinitesimal calculus in 1734 in The Analyst

It's True because zero cannot divided by any number it is undefined.

let us consider

x = 3

and y =0

x/y = 3/0 = undefined

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The value of x for which the two lines are parallel is given as follows:

x = 60º.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

x + 2x = 180

3x = 180º

x = 180º/3

x = 60º.

The figure is given by the image presented at the end of the answer.

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If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)

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

Start = (0, -4)

Also, we have

You move left 1 unit and right 4 units

Mathematically, this can be expressed as

(x, y) = (x - 1 + 4, y)

Substitute the known values in the above equation, so, we have the following representation

Endpoint = (0 - 1 + 4, -4)

Evaluate the expression

Endpoint = (3, -4)

Hence, the endpoint is (3, -4)

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Answer:

14

Step-by-step explanation:

angle 90° is opposite the side x. angle 45° is opposite side 7√2.

x/sin 90 = (7√2)/sin 45

multiply both sides by sin 90 (sin 90 is = 1).

x = (7√2)/sin 45

 = 14

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

The greatest value ABAB can have is 7272.

The given parameters:

The counting number can be expanded as follows;

ABAB = 100 x AB  + AB

          = AB00 + AB

          = AB(100 + 1)

          = AB(101)

101 is a prime factor of AB and has only two factors.

The prime factor of 101 = 1 x 2

Since 101 is prime, the counting number AB must 2-digits multiples of 36.

The greatest value ABAB can have is calculated as follows;

ABAB = (36 x 2)(36 x 2)

ABAB = 7272

Thus, the greatest value ABAB can have is 7272.

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Answer:

D. Vertx: (3,-16); Intercepts: x = -1, 7

Step-by-step explanation:

I graphed the equation on the graph below.

The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||

Answer:

8^2 = \sqrt{4096}

1. simplify 8^2 = 64

2. simplify square root of 4096 = 64

3. left side right side check -> 64=64

this answer would be a true radical

Step-by-step explanation:

the radical for this would be square root of 4096