In a cumulative frequency distribution, the last class will always have a cumulative frequency equal to _____.

The base and height of parallelogram is 6 meters and 18 meters.

We are given the relationship between base and height of parallelogram. Let the height be h and base be b. The equation is as follows -

h = 3×b

The formula to calculate area of parallelogram is -

Area = base × height

Keep the values in formula to find the base of parallelogram -

108 = b×3×b

Performing multiplication on Right Hand Side of equation

108 = 3b²

b² = 108÷3

Performing division to find the base of parallelogram -

b² = 36

b = √36

Taking square root of b

b = 6 meters

So, the base of parallelogram is 6 meters.

Height = 3 × 6

Performing multiplication

Height = 18 meters

Hence, the base and height of parallelogram are 6 meters and 18 meters.

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Using it's concept, the average rate of change of the function in the intervals is given by:

a. 1.

b. -5/3.

c. -1.

d. 4.

e. -3.

f. 0.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For item a, we have that:

Hence the rate is:

r = (1 - 0)/(-2 - (-3)) = 1.

For item b, we have that:

Hence the rate is:

r = (-4 - 1)/(1 - (-2)) = -5/3.

For item c, we have that:

Hence the rate is:

r = (-4 - (-3))/(1 - 0) = -1.

For item d, we have that:

Hence the rate is:

r = (-0 - (-4))/(2 - 1) = 4.

For item e, we have that:

Hence the rate is:

r = (-3 - 0)/(0 - (-1)) = -3.

For item f, we have that:

Hence the rate is:

r = (0 - 0)/(2 - (-1)) = 0.

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For the value of (b = -5) the result of the solution is x ≤ - 6.

The term inequality refers to a mathematical equation wherein the sides are not equal. An inequality equates any two values and shows that one is less, greater, or equal to the value on either side of the equation.

Consider the given expression;

38 ≤ bx + 8

Simplify the equation;

38 - 8 ≤ bx

30 ≤ bx

Multiply both side with negative sign; by the rule four, the sign of inequality will also change.

- 30 ≥ -bx

or  -bx ≤ - 30

For converting the value to the expression x ≤ - 6; the value which should be divide the 30 is 5.

Thus,

-(-5)x  ≤ - 30

Thus, the value of b is found as (b = -5).

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The indefinite integral, [tex]\int {sin(9x)} \, dx[/tex] = [tex]\frac{-1}{9} cos(9x) + C[/tex]

We have to find the indefinite integral,

    [tex]\int {sin(9x)} \, dx[/tex]

using the substitution 9x = u.

So we need to change the variable of integration from x to u using this substitution.

9x = u ⇒ 9 dx = du

So   [tex]\int {sin(9x)} \, dx[/tex] = [tex]\frac{1}{9} \int{sin(u) \ du[/tex]

                          = 1/9 (- cos(u)) + C,   [ Since integral of sin(u) = -cos(u) ]

where C is the integration constant which is often put when evaluating indefinite integrals.

Now replacing u with x to get the final answer,

1/9 (- cos(u)) + C = -1/9 cos(9x) + C

Therefore,   [tex]\int {sin(9x)} \, dx[/tex] = [tex]\frac{-1}{9} cos(9x) + C[/tex]

The question is incomplete. Find the complete question below:

Evaluate the indefinite integral by using the given substitution to reduce the integral to standard form.   [tex]\int {sin(9x)} \, dx[/tex], 9x = u.

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Dontrez took 1/8 lb fraction of trial mix to school for only 2 days.

What is a fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction consists of a numerator, displayed above a line, and a non-zero denominator, displayed below that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

Dontrez took 1/8 lb fraction of trial mix to school for only 2 days.

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Answer: only the first one

Step-by-step explanation:

Answer:

assuming the coupon came b4 everything else : $ 45.75

Step-by-step explanation:

ten off of 54.99 is 44.99

10 % of 44.99 is 4.499

44.99 - 4.499 is 40.49

13% of 40.49 is 5.26

so 40.49 + 5.26 is 45.75

Answer:

More practically, MORE than $150 is wanted so the answer is 3x-x+2=4

Step-by-step explanation:

Any choice of WHOLE NUMBER divisible by 3 will work for x to give a whole number for y, for acceptable points ON the line; but points found ABOVE the line with whole number coordinates would also be acceptable for this INEQUALITY problem. As example, do you understand that x=27, y=11, will work? It is just one of many, many possible solutions.

The total bill that Ana would pay is $560.

The total bill that Ana owes is the sum of the first $100 and 10% of the remaining bill since the insurance company would pay 90% of the bill.

The mathematical operation that would be used to determine the total bills are addition, multiplication and subtraction. Addition is the process of determining the sum of two or more numbers. Subtraction is the process of calculating the difference between two or more numbers. Multiplication is the process of determining the product of two or more numbers.

Total bill = first $100 + 90%(total bill - $100)

$100 + 10%($4,700 - $100)

$100 + 10% x 4,600

$100 + (0.1 x 4,600)

$100 + $460

$560

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Answer:

33 is the correct answer

Answer:

2x+5

Step-by-step explanation:

if the number is x

∴ 5 more than twice a number is

       ll                          ll

       V                         V

       +5                        *2

So, 2*x+5

Answer:

5/4+5/9

45/36 +20/36

65/36

1 30/36

The 25th term in the sequence 11, 20, 29, 38, 47… is 227.

Based on the information illustrated, it should be noted that the 25th term in the sequence 11, 20, 29, 38, 47… will be calculated thus:

In this case, this is an arithmetic sequence. The formula to calculate the sequence will be:

= a + (n - 1)d

a = first term = 11

d = common difference = 9

The 25th term will be:

a + (n - 1)d

= 11 + (25 - 1)9

= 11 + (24 × 9)

= 11 + 216

= 227

The 25th term is 227.

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According to the question, the utility function can be written as: [tex]U(x,y)=min(341,172)[/tex]

What is utility function and perfect complements?

A utility function is a standard rule which is assigned to all consumption bundles. And it is represented as two good models which are known as domain and codomain. It is also used to represent the individual items for the goods or services beyond their monetary value. Similarly, when two goods are consumed perfectly then they are called perfect complements.

Similarly, Perfect complement is: [tex]max(341,172)[/tex]

Therefore, the equations can be written for the points(1,2):

[tex]x_{1} +2x_{2} =172[/tex]  and [tex]x_{1} +x_{2} = 341[/tex]

And the calculated equation is perfect complements:

[tex]x_{1} +2x_{2} =172[/tex] and [tex]x_{1} +x_{2} = 341[/tex]

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The  justification for the first step in proving the formula for factoring the sum of cubes [tex]a^3+b^3[/tex] is the distributive property.

Given the formula for sum of cubes [tex]a^3+b^3[/tex] = [tex](a+b)(a^2-ab+b^2)[/tex]

                                                                       = [tex]a^3-a^2b+ab^2+a^2b-ab^2+b^3[/tex]

In this step distributive property is utilized.

Distributive property is used for expanding the factors into the polynomial.

i.e., a(b+ c) = ab +ac

or, (a+ b)c = ac + bc

This is referred as the distributive property.

In the formula for  [tex]a^3+b^3[/tex], (a+ b) is distributed over  [tex](a^2-ab+b^2)[/tex].

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Answer:

a. Distributive

Step-by-step explanation:

took da test 100%

Answer:

the answer is -2

Step-by-step explanation:

I hope this helps! :)

Answer: 6.1

Step-by-step explanation:

If the digit after the underlined digit is 4 or less, then you round down. If the digit after the underlined digit is 5 or more, than you round up.

6.13 rounded to the nearest tenth is 6.1

The simplification of each or difference of the given expression [tex]\frac{y}{(2y+4)}-\frac{3}{y+2}[/tex]  is equal to (y-6) /2(y+2). Restriction on the variables is given by y ≠ -2.

As given in the question,

Given expression [tex]\frac{y}{(2y+4)}-\frac{3}{y+2}[/tex]

Simplify the given expression by taking the least common multiple

[tex]\frac{y}{(2y+4)}-\frac{3}{y+2}\\\\\\= \frac{y}{2(y+2)}-\frac{3}{y+2}\\\\= \frac{y-6}{2(y+2)}[/tex]

Restriction on the variables is given by y ≠ -2.

Therefore, the simplification of each or difference of the given expression [tex]\frac{y}{(2y+4)}-\frac{3}{y+2}[/tex]  is equal to (y-6) /2(y+2). Restriction on the variables is given by y ≠ -2.

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144 I that’s to your problem

Have a great day!

The first five terms of a sequence with explicit formula a(n) = 2n - 1 are 1,3,5,7,9  (G)

An arrangement of numbers with particular pattern is called a sequence. In general, there are four types of sequence: arithmetic sequence, geometric sequence, quadratic sequence, and special sequence.  

Suppose we are given an explicit formula for the nth term of a sequence, then its terms can be evaluated by substituting n = 1, 2, ...

The explicit formula of the given sequence:

a(n) = 2n - 1

Take n = 1, then

a(1) = 2.(1) - 1 = 1

Take n = 2, then

a(2) = 2.(2) - 1 = 3

Take n = 3, then

a(3) = 2.(3) - 1 = 5

Take n = 4, then

a(4) = 2.(4) - 1 = 7

Take n = 5, then

a(1) = 2.(5) - 1 = 9

Hence, the first five terms are 1,3,5,7,9  (G)

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The probability, expressed as a percentage rounded to a nearest tenth, that Victoro chooses a green jelly then a red one is 0.1.

A combination is a preference of all or part of a group of objects, regardless of their order of selection.

You can choose the items in just about any order in combinations. Permutations and combinations are often confused.

Now, as per the given question;

The total number of red jelly beans in a bag is 7.

The total number of yellow jelly beans in a bag is 11.

The total number of green jelly beans in a bag is 13.

Thus, the total number of jelly beans in a bag is;

7 + 11 + 13 = 31.

First, Victoro picks the green one;

Thus, the probability of picking a green jelly out of total 13 green jellys is;

¹³C₁/ ³¹C₁ = 13/31

Now, as the second jelly picked by Victoro is red which is without replacement.

Thus, the probability for getting a red jelly out of total 30 left jellys is;

⁷C₁/ ³⁰C₁ = 7/30

Therefore, the total probability that Victoro picks a green one and then a red one is ;

= 13/31×7/30

= 91/930

= 0.097

= 0.10 (rounded to the nearest tenth)

Therefore, the probability of getting the red jelly after the green jelly is 0.10.

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The coordinate for point O so that it divides AB in the ratio of AO to BO as 3:1 is (2, -1)

An equation is an expression that shows the relationship between two or more numbers and variables.

The line segment has endpoints at A(-7,11) and B(5,-5). Point O(x, y) divides the segment AB in the ratio 3:1, hence:

x = (3 / (3 + 1))[5 - (-7)] + (-7) = 2

y = (3 / (3 + 1))[-5 - 11] + 11 = -1

The coordinate for point O so that it divides AB in the ratio of AO to BO as 3:1 is (2, -1)

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Answer: (-4,7)

Step-by-step explanation:

you have to use distance formula

Answer:

38

Step-by-step explanation:

well done .....I hope it's helpful

Answer:

x= - 10

Step-by-step explanation:

Divide both sides of the equation by 3, x+8= - 2. move the constant to the right side and change its sign, x= - 2 - 8. Calculate the difference and the solution will be x= - 10

∠A ≅ ∠C under the CPCT condition (coresponding parts of congurent triangles).

So,

Given: BD bisects ∠B and BD ⊥ AC.

To prove: ∠A ≅ ∠C

First, prove that △ABD≅△BDC.

So, △ABD≅△BDC under AA condition.

Therefore, ∠A ≅ ∠C under the CPCT condition (coresponding parts of congurent triangles).

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Answer:

7

Step-by-step explanation:

25÷3.29=7.59

you can't buy half a fish and rounding up would go over budget so you buy 7 with a little change left over

Answer:

You can only buy 7.

Step-by-step explanation:

the most you can spend is $25 so you divide 25 by 3.29 which gives us 7.6 but in this case we don't round because you can only spend $25, so you can only buy 7.

If 50 grams of cheese contain 200 Calories, 280 kcal are in 70 grams of cheese.

50g = 200 kcal

1g = 200 kcal / 50g

70g = (200 kcal / 50g) × 70g

      = 280 kcal

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer: 4 scarves.

Step-by-step explanation: $47-$19= 28. 28 divided by $7 is 4, so Jesse could buy 4 scarves with the remaining money.