O find the HCF by prime factorition method 6 18 and 48 b C 36 and 84 d 69 and 75 35 and us 27 and 63 z Date Page.​

Answer:

volume of the hemisphere

\( \frac{2}{3} \times \pi \times {r}^{3} \\ \frac{2}{3} \times \pi \times 1331 \\ = 887.3333333333\pi\)

The metric system is a decimal-based system of measurement units where units for a given quantity are related by factors of 10. This system provides a standardized and consistent way of measuring various quantities.

The metric system is a decimal-based system of measurement units known as the International System of Units (SI). It is an internationally standardized system that uses prefixes to indicate multiples or fractions of base units. The metric system consists of units for length, mass, capacity, and temperature that can be easily converted within the same system.

In the metric system, units for a given quantity are related by factors of 10. This means that each unit is 10 times larger or smaller than the next unit in the scale. For example, one meter is equal to 100 centimeters, and one kilogram is equal to 1,000 grams. These relationships make conversions between units within the metric system straightforward.

Metric prefixes are used to indicate multiples or fractions of base units. Some common metric prefixes include kilo-, centi-, milli-, micro-, and nano-. These prefixes are added to the base unit to indicate a multiple or fraction of that unit. For instance, a kilometer is 1,000 meters, a centimeter is 1/100 of a meter, and a milliliter is 1/1,000 of a liter.

In conclusion, the metric system is a decimal-based system of measurement units where units for a given quantity are related by factors of 10. This system provides a standardized and consistent way of measuring various quantities.

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Center point of dilation is a fixed point in a plane about which all the points of the figure expanded or contract. And scale factor of a dilation is the ratio of new formed image to the old given image.

Explanation:

Therefore, the center of the dilation can be find using the translation and scale factor can be calculated using the ratio of the new to the old images.

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The dot product of two vectors u and v can be represented using index notation as u_i v_i.

A mathematical language called index notation is used to describe the components of a vector or tensor. It consists of an element's position in the vector or tensor and a symbol, typically a Latin or Greek letter.

A mathematical language called index notation is used to describe the components of a vector or tensor. The element's position in the vector or tensor is indicated by a symbol (often a Latin or Greek letter) with an integer subscript. How to utilise index notation is as follows:

Vectors can be represented by a single letter with a subscript, such as v i, where I stands for the element's position in the vector.

Tensors are multidimensional arrays that can be described using an index notation for each element. For instance, T i,j can be used to represent the element in a matrix's ith row and jth column.

Executing operations: Index notation can be used to express operations like matrix multiplication and the vector dot product. For instance, u_i v_i can be used to denote the dot product of the two vectors u and v.

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Answer:

2,1  4,2  6,3  8,4  10,5  12,6  14,7  16,8  18,9  20,10  etc.

Step-by-step explanation:

The product of 20  x  9  x  5 is calculated to be 900

The property used is the commutative property of multiplication

Data given in the question include

product of 20 x 9 x 5

The commutative property of multiplication is the property of multiplication that is used as follows

a * b * c = c * b * a

Applying the commutative property of multiplication to the given problem we have

= 20 * 9 * 5

= 180 * 5

= 900

also

= 5 * 9 * 20

= 45 * 20

= 900

The product of 20 * 9 *  5 = 900

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Based on the fact that Jessica and her best friend split the money and were able to get $16.32, the total amount that they found was $32.64

The fact that they split the money evenly means that they split it in half which each person getting the same amount.

This means that the total amount they found was twice the amount that Jessica and her best friend got.

The total amount found is therefore:

= Jessica's share + Best friend's share

= 16.32 + 16.32

= $32.64

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Answer:

minute per words because it would be in accurate.

Answer:

x=<-11

Step-by-step explanation:

3x+18=<-15

3x=<-33

x=<-11

Answer:

x ≤ -11.

Step-by-step explanation:

3x + 18 ≤ -15

3x + 18 ≤ -15

3x ≤  -33

x ≤ -11.

Answer:

5.6  percent

Step-by-step explanation:

because

The simplified form is -20√2 + 10 - 20 √(-35) + 6.

The given expression is:

(-20 + √50) √2 - 20 √(-35) + 6

To simplify this expression, let's break it down step by step:

Step 1: Simplify the square roots:

√50 = √(25ˣ 2) = 5√2

√(-35) is not a real number because the square root of a negative number is undefined.

Step 2: Substitute the simplified square roots back into the expression:

(-20 + 5√2) √2 - 20 √(-35) + 6

Step 3: Multiply the terms inside the parentheses:

(-20√2 + 5 ˣ 2) - 20 √(-35) + 6

Step 4: Simplify further:

(-20√2 + 10) - 20 √(-35) + 6

Since √(-35) is not a real number, the expression cannot be simplified any further.

Therefore, the simplified form of the given expression is:

-20√2 + 10 - 20 √(-35) + 6

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attachment lists points on each graph.

a) The equation for a horizontal line is ...

  y = constant

Here, the output value is always 5, so that is the constant in the equation:

  y = 5

__

b) The graph is a straight line through the origin, so the equation is that of a proportion:

  y = kx . . . . . for some constant of proportionality k

Using the point (x, y) = (-4, 2), we can find k from ...

  k = y/x = 2/(-4) = -1/2

The equation of the line is ...

  y = -1/2x

__

c) The graph has a rise of 3 units for each run of 1 unit, so the slope is ...

  m = rise/run = 3/1 = 3

The y-intercept (where the line crosses the y-axis) is b = -2. Then the slope-intercept form of the equation is ...

  y = mx + b . . . . . for slope m and y-intercept b

  y = 3x - 2

_____

You can check that the equation is satisfied by each of the points listed. For example, ...

  a) in = -4, out = y = 5 . . . matches table

  b) in = 2, out = y = -1/2(2) = -1 . . . matches table

  c) in = 1, out = y = 3(1) -2 = 1 . . . matches table

(You can check the other table values.)

Answer:

7, 3.5

Step-by-step explanation:

3x-1=20, 3x=21, x=7

2x+13=20, 2x=7, x=3.5

Answer:

Step-by-step explanation:

a) 2(3x - 1) = 40

Solution:

2×3x-2×1=40

6x-2=40

6x=40+2

6x=42

x=7

b) 4(2x + 13) = 80

Solution:

4×2x+4×13=80

8x+52=80

8x=80-52

8x=28

x=7/2

If you found my answer useful then please mark me brainliest.

Answer:

x = 1.04, w = 2

Step-by-step explanation:

104 = 1.04 × 10²

Answer:

1.04 x \(10^{2}\), so your answer is x = 1.04, w=2

Considering supplementary angles, we have that the measures of x and y are given as follows:

We also have that x and y have different measures, hence the student is incorrect, and x and 40º are complementary.

Supplementary angles are angles whose measures add to 180º.

The three internal angles of a triangle are supplementary, hence we can find x as follows:

90 + 40 + x = 180

130 + x = 180

x = 50º.

Angles x, y and 50º are also supplementary, hence:

x + y + 50 = 180

50 + y + 50 = 180

y = 80º.

The angles with measures x and 40º are complementary, as they add to 90º.

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Answer:

sum up to 130 but not equal

Step-by-step explanation:

Answer:

10 pints

Step-by-step explanation:

8 pints (16 cups) in 1 gallons

1.25 * 8 = 10 pints in 1.25 gallons

so the answer is 10 pints

Answer:

Area of the square base = 100cm²

Surface area of square pyramid= 380cm²

Step-by-step explanation:

Area of the square base= L × L

= 10cm × 10cm

= 100cm²

The surface area of square pyramid= Area of the base + Area of the triangles forming the pyramid.

= 100cm² + 280cm²

Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

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The value of "n" is 6.

"n" is related to a circle with intersecting chords labeled 5, n+4, 7, and n+8 [1]. To find the value of "n", we can use the property that states that if two chords intersect inside a circle, the products of their segments are equal. Using this property, we can set up the following equation:

7(n+4) = 5(n+8)

Expanding the brackets, we get:

7n + 28 = 5n + 40

Simplifying, we get:

2n = 12

n=6

A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a fixed distance (called the radius) from a given point (called the center). It is a closed shape, meaning that it has no beginning or end, and its boundary is a continuous curve.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

25, 34, 43

Step-by-step explanation:

-11 + x = -2, -11 + 9 = -2                -2 + x = 7, -2 + 9 = 7,  7 + 9 = 16                             -2 - x = -11, -2 - 9 = -11                   7 - x = - 2,                                                               2 + x = 11,  11 - 2 = 9, 9 = x            7 - 7 = 0 - 2 = -2,   7 + 2 = 9,    7 - 9 = -2    

16 + 9 = 25,   25 + 9 = 34,   34 + 9 = 43              

J'espère que cela pourra aider : )                                                    

ANSWER:

A. 1

STEP-BY-STEP EXPLANATION:

A linear function is a polynomial function of the first degree, that is, a function of a variable, which can be written as follows:

Therefore, the correct answer would be:

Therefore, √128 lies between 11 and 12 on a number line.

To determine the two numbers between which √128 lies on a number line, we can calculate the square roots of consecutive perfect squares that surround 128.

By calculating the square roots, we can find the two nearest whole numbers that √128 lies between.

Calculating the square roots of perfect squares near 128:

√121 = 11

√144 = 12

Since 128 is greater than 121 and less than 144, √128 lies between √121 and √144 on the number line.

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Answer:

The tone of the poem is one of gentle innocence and trust, which contrasts sharply with its grim subject. The young chimney sweeper's words show that he and his fellow sweep are in a harsh situation. They are the among most vulnerable in society: young children who are orphaned or unwanted.

The Volume of the Cone is 4.4 Cubic Inches

What is Cone?

A cone is a three-dimensional geometric object with a smooth taper from a flat base to the tip or vertex. A cone is made up of a series of line segments, half-lines, or lines that link a common point, the apex, to all of the points on a base on a plane that does not contain the apex.

Solution:

Given:

Radius = 1.2 inches

Height = 2.9 inches

To Find: Volume fo the Cone

Volume of Cone = 1/3 * 3.14 * \(radius^{2} * height\)

= 1/3 * 3.14 * 1.2 * 1.2 * 2.9

= 4.37088

= 4.4 cubic inches

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Answer:

they would be continuous

Step-by-step explanation:

When age is rounded to the nearest year, the data become discrete. This is because rounding to the nearest whole number means that age is being quantized into a specific set of values, rather than being treated as a continuous variable.

For example, if someone is 35.5 years old and their age is rounded to the nearest year, they will be recorded as being either 35 or 36 years old.

A continuous variable is a quantity that can take on any value within a certain range, such as height, weight, or temperature. Rounding age to the nearest year effectively converts it from a continuous variable to a discrete variable, since it can only take on a limited number of values.

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By using the Basu's theorem  and from parts (a) and (b), we conclude that P and T are independent.

Basu's theorem states that if a complete sufficient statistic T and an ancillary statistic S are independent, then any statistic U that is a function of T and S is independent of any unbiased estimator of a function of θ.

Using Basu's theorem, we need to show that Σ(Xi – X)^2 is ancillary and independent of the mean ξ and variance σ^2. Since X follows a normal distribution, we know that the sum of squares of deviations from the mean (Σ(Xi – X)^2) follows a chi-square distribution with n degrees of freedom, where n is the sample size.

Since the chi-square distribution only depends on the sample size and is independent of the mean and variance of X, we conclude that Σ(Xi – X)^2 is ancillary and independent of ξ and σ^2. Therefore, using Basu's theorem, we conclude that X and Σ(Xi – X)^2 are independent.

In problem 6.18, we have shown that X(1) follows an exponential distribution with parameter λ = 1/θ, where θ is the common distribution of the X's. Therefore, X(1) is complete and unbiased for θ. Using the result from problem 6.17(e), we know that Σ[Xi – X(1)] follows a gamma distribution with parameters n – 1 and 1/θ. Therefore, Σ[Xi – X(1)] is ancillary and independent of θ. Using Basu's theorem, we conclude that X(1) and Σ[Xi – X(1)] are independent.

Using the hint provided in the problem, we can rewrite Σ[Xi – X(1)] as b times the sum of n – 1 independent exponential random variables with mean a/(n – 1). Therefore, Σ[Xi – X(1)] follows a gamma distribution with parameters n – 1 and a/(n – 1), which is equivalent to a gamma distribution with parameters n – 2 and b = 1/(a/(n – 1)).

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Answer:

Step-by-step explanation:

answer: owen can afford to keep and drive the car for 4 days.

The total owing on the car rental is R(d) = ($77.25/day)d + ($0.12/mile)m ≤ $330.  Substitute 1 for d (that is, the rental is for 1 day) and 175 for m:

R(d) = ($77.25/day)(d days) + ($0.12/mile)(175 miles) ≤ $330

    =   $77.25d                   + $21     ≤ $330

This simplifies to   $77.25d + $21 ≤ $330, or

                                $77.25d ≤ $309

Solving this by dividing both sides of the above equation by $77.25, we get                          

d = ($309)/($77.25) = 4