3^4+4.5= Input whole number

Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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True, The coefficient of xkyn-k in the expansion of (x+y)n equals (n/k) .

What does a math expression mean?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

                                 This mathematical operation may be addition, subtraction, multiplication, or division. An expression's basic components are as follows: Expression: (Math Operator, Number/Variable, Math Operator)

The rth term in a binomial expansion is defined as

 r th term  = ⁿCr xⁿ⁻ˣ yr

   Let the coefficient of \(x^{k} y^{n - k }\) be A. The power of x is k and the power of y is n-k. It means

         k = n - r

        n - r = t

The coefficient of x^{k} y^{n - k } is

  \(C^{n} _{n - r} =\) ( n n - k )

Using the property of combination,

   \(C^{n} _{n - r} = C^{n}_{r}\)

\(C^{n} _{n - k} = C^{n} _{k} ( ^{n} _{k} )\)

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The complete question is -

The coefficient of xkyn-k in the expansion of (x+y)n equals (n/k) true or false

Answer:

Step-by-step explanation:

Let the sweater price be x

Let the shirt price be y

x + 4y=38

4x+5y=86
4x+16y= 152

11y=66

y=6

Substitute into x+4y=38,

x+4x6=38

x=14

Answer:

H0 : μ = 60000

H1 : μ ≠ 60000

Test statistic = 3.464

Step-by-step explanation:

Given :

Sample mean salary, xbar = 80000

Sample standard deviation, s = 10000

Population mean salary , μ = 60000

Sample size, n = 3

Hypothesis :

H0 : μ = 60000

H1 : μ ≠ 60000

The test statistic :

T = (xbar - μ) ÷ (s/√(n))

T = (80000 - 60000) ÷ (10000/√(3))

T = 20000 / 5773.5026

T = 3.464

The Decison region :

If Tstatistic >Tcritical

Tcritical at 10%, df = 2 ; two - tailed = 2.9199

Tstatistic > Tcritical ; He

The conclusions that are true based on the bar chart are:

The profit generally decreased, the profit was highest in December, the total profit was under £2000.

To determine which of the conclusions are true, let's analyze the given bar chart representing profits over several months.

Looking at the bar chart, we observe that the income and expenditure are displayed on a scale ranging from £0 to £1500. The months are labeled along the x-axis, and the profit is represented by the difference between income and expenditure for each month.

First, let's evaluate the conclusions:

The profit generally decreased: From the chart, we can see that the profit indeed decreased over time. The bars show a general downward trend, indicating a decrease in profit.

The profit was highest in December: December has the tallest bar among all the months, indicating that the profit was highest in that month. Therefore, this conclusion is true.

There were two months where the profit was £300: To verify this, we examine the bars for a height of £300. Based on the chart, we can only identify one month, which appears to be August, where the profit reaches approximately £300. Therefore, this conclusion is false as there is no indication of two months with a profit of £300.

The total profit was under £2000: To determine the total profit, we sum up the heights of all the bars in the chart. By visual estimation, it appears that the sum of the bars is well below £2000. Therefore, this conclusion is likely to be true.

However, the conclusion stating that there were two months where the profit was £300 is not supported by the chart. So, the statements whivch are true are the profit generally decreased, the profit was highest in December, the total profit was under £2000.

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Answer:

they're right, 48.18

Step-by-step explanation:

edge2020

The required dot product of the given vectors u and v is 48.18.

The dot product, also known as the scalar product, is an operation that takes two vectors and returns a scalar.

A · B = |A| |B| cos(θ)

here,
As of the given data,
|u| = 12, |v| = 7, and the angle between is θ = 55°...

Now,

Dot product between the two vectors is given as,
vec u. vecv = |u|.|v|.cos55

vec u. vecv = 12×7×0.57
vec u. vecv = 48.18.

Thus, the required dot product of the given vectors u and v is 48.18.

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Answer:

This is the answer. Do it fast. All the best

The simplified expression is  c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)

Now, simplifying

(c+ 6b) (a² + 2ab)(ac - 3a²) + 2b(-2bc-6ab- 3a²)(ac - 3a²)- b (-2bc-6ab- 3a²)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= ca² + abc + 6a²b + ab² (ac - 3a²) + (4b²c - 12ab² - 6a²b)(ac - 3a²) - ( -2b²c - 6ab² - 3a²b)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c + a²bc² - 3a³bc + 6a³bc - 18\(a^4\)b + 4ab²c² - 12a²b²c - 12 a²b²c+ 36a³b - 6a³bc + 18\(a^4\)b + 2a²b²c +  4a³bc + 6a³b² + 12a²b³  - 3\(a^4\)b + 6a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

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Answer:

outliers

Step-by-step explanation:

An outlier is a data point that is significantly different from other observations. An outlier might be due to inconsistency in measurements, or due to an error introduced into the experiment. Outliers cans lie extremely high or low of other observation in statistics, and they usually create a big problem for  proper analysis.

The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

Answer:

4b³c⁴ + 2b⁴c³

Step-by-step explanation:

5b⁴c³ and 3b⁴c³ have the same variables. Therefore, they are like terms.

4b³c⁴ + 5b⁴c³ - 3b⁴c³

4b³c⁴ + 2b⁴c³

Answer:

Step-by-step explanation:

QII means that we take a point in the second quadrant.

We have that y = -9x, so if x = -1, y = -9*(-1) = 9. So we have the point (-1,9).

From this point, we can draw the following right triangle:

First we find the hypothenuse:

h² = 9² + 1²

h² = 82

h = sqrt(82).

Tangent:

Sine:

If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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Answer:

the radius is 8

Step-by-step explanation:

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:

C = 50P

750 dollars

Step-by-step explanation:

$50 per person and P represents each person, and C is the total cost basically, so:

C = 50P, is the equation

To find 15 people, just plug it in

C = 50P

C = 50(15)

C = 750

Answer:

Jomo Kenyatta

Step-by-step explanation:

Jomo Kenyatta was a Kenyan politician, who was one of the first African anti-colonial figures. He became the prime minister of Kenya from 1963 to 1964, and after Kenyan independence in 1964, he became president of Kenya. Jomo Kenyatta was born into a family of Kikuyu farmers in Kiambu, present day Kenya which was then, British East Africa. He had his basic schooling in a missionary school before proceeding to study at Moscow's Communist University of the Toilers of the East, University College London, and the London School of Economics.

Answer:

Jomo Kenyatta

Step-by-step explanation:

took the test

Answer:

your answer should be

Step-by-step explanation:

x=2i or like i should say -2i

i hope its right tbh sometimes i make mistakes doing these

Answer:

I believe it's 14

Step-by-step explanation:

To find the range you subtract to highest and lowest values, (15 and 1)

15 - 1 = 14

I took the test and its 13.

Answer:

44 ft

Step-by-step explanation:

You would subtract 657 - 613

Answer:

Jill's best friend jumped 8/21 feet further than Jill.

Step-by-step explanation:

we have that

Jill jumped 6 1/3 feet

Jill best friend jumped 6 5/7 feet

To find out how much farther did Jill's best friend jumped, subtract the length that Jill jumped from the length that Jill best friend jumped

but first convert mixed number to improper fraction

substitute the values

therefore

Jill's best friend jumped 8/21 feet further than Jill.

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer: Not necessarily. Dividing the pie chart into 5 equal sections might be a way to display categorical data if the number of categories is 5. However, dividing it into 5 sections might not be the best way to display the data if the number of categories is different than 5 or if any category has a significantly higher or lower proportion than the others. In this case, it may be more appropriate to use a different scale to display the correct ratio. It is important to consider data distribution and visualization clarity before choosing how to display categorical data.

Answer:

-16x+3y

Step-by-step explanation:

sum=add

(-6x + 9y)+(-10x – 6y)

Combine like terms

-6x+(-10x)

-16x

9y+(-6y)

3y

-16x+3y

From the image and from the given tables, we get the function y = 2x - 3.

Each table represents a set of points, and we need to find the set of points that actually belong to this line.

All you have to do, is to take the 'x' from the left column, apply the function 'y', and see if you get the result in the right column in the same row.

For example, the second table for x = 2, gives us an 'y = 0' in the right column, which is not true if you use the line equation.

Checking the other tables, you're going to see the only one that fits in the line is the first table!

Answer:

1. False

2. True

3. True

4. True

Step-by-step explanation:

A rational number is a number that can be written as a fraction of two integers. An irrational number can not be written as a fraction of two integers.

(Remember that an integer and a whole number are the same).

This means that...

All whole numbers/integers are rational.

3 is true for reasons mentioned above.

4 is just asking the same as 3.

Answer:

18

Step-by-step explanation:

1 x 18 equals 18. She sells 18 pints, so the answer is 18.

Answer:

/

dont subtract 3 from -7m so it would be -7m + 3

7m

/

= m = 3

Horizontal changes are often the opposite of what you'd expect to see in the formula.

12:

To shrink/compress horizontally by a factor of 2/3, you need \(g(x) = f(\frac{3}{2}x)\).

Notice we have the reciprocal inside of the function notation.

13:

To translate left 5 units, you have \(g(x) = f( x+5 )\).

Notice we have the opposite sign inside of the function notation.