Please help. Don’t understand this math problem!

The value of the missing segment n using the product of intersecting chord theorem is 14cm

The product of the segments of two intersecting chords are equal.

The segments of the chords ;

Chord 1 = 4 and n

Chord 2 = 7 and 8

The principle can be related Mathematically thus ;

4 × n = 7 × 8

4n = 56

Divide both sides by 4

4n/4 = 56/4

n = 14

Therefore, the value of n in the question is 14cm

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Multipuly po ba (15;000 7%)

To find the cost of carpeting the room, we need to calculate the area of the room and then determine how many meters of carpet we need to cover that area.

The room's dimensions are:

$\sf{\underline{Length = 13 m}}$

$\sf{\underline{Breadth = 9 m}}$

We can calculate the area of the room as:

$\sf\longrightarrow\:Area = Length \times Breadth$

$\sf\longrightarrow\:Area = 13m \times 9m$

$\sf\longrightarrow\:Area = 117m^2$

Since the carpet is 75 cm broad, we need to convert it into meters:

$\sf\longrightarrow\:1m = 100cm$

$\sf\longrightarrow\:75cm = \frac{75}{100m}$

$\sf\longrightarrow\:75cm = 0.75m$

So the width of the carpet in meters is 0.75m.

Now, we can calculate how many meters of carpet we need to cover the room:

$\sf\longrightarrow\:Length\ of\ carpet\ needed$

$\sf\\= Length\ of\ room = 13m$

$\sf\longrightarrow\:Breadth\ of\ carpet\ needed$

$\sf\:= Breadth\ of\ room + 2 \times Width\ of\ carpet$

$\sf\longrightarrow\:Breadth\ of\ carpet\ needed$

$\sf\:= 9m + 2\times 0.75m$

$\sf\longrightarrow\:Breadth\ of\ carpet\ needed$

$\sf\bigstar\:= 10.5m$

The total area of the carpet needed is:

$\sf\longrightarrow\:Area\ of\ carpet = Length\ of\ carpet$

$\sf\:needed \times Breadth\ of\ carpet\ needed$

$\sf\longrightarrow\:Area\ of\ carpet = 13m \times 10.5m$

$\sf\longrightarrow\:Area\ of\ carpet = 136.5m^2$

Now we can calculate the cost of the carpet:

$\sf\longrightarrow\:Cost\ of\ carpet = Cost\ per\ metre$

$\sf\:\times Length\ of\ carpet$

$\sf\longrightarrow\:Cost\ of\ carpet = ¥50/m \times 136.5m^2$

$\longrightarrow\bigstar\boxed{\textcolor{red}{\sf{Cost\ of\ carpet = ¥6,825}}}$

Therefore, the cost of carpeting the room with a carpet 75cm broad at ¥50 per metre is ¥6,825.

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The inverse of the function f(x) = 4x is:

h(x) = 4/x

Two functions f(x) and g(x) are inverses if:

f( g(x)) = x

g( f(x)) = x

Here we want to find the inverse of the function:

f(x) = 4x

So let's assume that h(x) is the inverse, then the composition must be equal to x:

f(h(x)) = 4*h(x) = x

Now we can solve that for h(x), then we will get:

h(x) = x/4

That is the inverse of function f(x).

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Answer:

35.6

Step-by-step explanation:

By the Pythagorean Theorem:

\( {x}^{2} + {91.3}^{2} = {98}^{2} \)

\(x = \sqrt{ {98}^{2} - {91.3}^{2} } = 35.6\)

Answer:

about 9 pounds, 7 ounces

Step-by-step explanation:

The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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Answer:

you plug -6 and get 8x(1-(-6))=8×7=56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

f(-6) = 8(1 - (-6))

f(-6) = 8(1 + 6)

f(-6) = 8(7)

g(-6) = 56

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9514 1404 393

Answer:

  $1512.27

Step-by-step explanation:

The future value formula for monthly compounded interest is ...

  FV = P(1 +r/12)^(12t) . . . . interest rate r for t years

Filling in the given values gives ...

  2000 = P(1 +0.04/12)^(12·7) = P(1.003333...)^84 = 1.322513864P

Then the required principal is ...

  P = 2000/1.322513864 ≈ 1512.27

The principal needed is about $1512.27.

Answer:

  (b)  56 ft

Step-by-step explanation:

The length is 4 more feet than the width of 12 feet, so is 12+4 = 16 feet.

The perimeter of a rectangle is twice the sum of length and width:

  P = 2(L +W)

  P = 2(16 ft +12 ft) = 2(28 ft)

  P = 56 ft

The perimeter of the sandbox is 56 feet.

the equation of the Linear function will be f(x) = -19x + 14.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a data set of a linear function

The slope-intercept form of the equation of a line

y=mx+b,

where m is the slope

b is the y-intercept (the value of y, at x = 0)

since, slope = (y - y')/(x -x')

In our case,

Slope = (128 -90)/ (-6 + 4)

Slope = 38/-2

Slope = -19

And b = 14 (Given)

Thus,

The equation of Line:

y = -19x + 14

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Answer:

14

Step-by-step explanation:

(4+(16-1)/5)*2

(4+15/5)*2

(4+3)*2

7*2

14

The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

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$26.40

ten percent is 88 divided by 10= 8.8

8.8 multiplied by 3 is 26.40

Answer:

0.0698

Step-by-step explanation:

Given :

Population mean, μ = 20

Sample mean, xbar = 21.1

Sample standard deviation, s = 4.3

Sample size, n = 35

The hypothesis :

H0 : μ = 20

H0 : μ > 20

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (21.1 - 20) ÷ (4.3/√(35))

T = 1.1 ÷ 0.7268326

Test statistic = 1.513

Using the Pvalue calculator :

df = n - 1 = 35 - 1 = 34

Pvalue(1.513, 34) = 0.06976

Pvalue = 0.0698 (4 decimal places)

The p-value is 0.0698 if rounded to 4-decimal places.

It is given that students study an average of more than 20 hours each week and the random sample of 35 students was asked to keep a diary of their activities over a period of several weeks.

The average number of hours that the 35 students was 21.1 hours.

The sample standard deviation is 4.3 hours.

It is required to find the p-value.

It is defined as the measure of data dispersement, It gives an idea about how much is the data spread out.

We can test the hypothesis using the Z test, the formula for the Z-test is given below:

\(\rm Z= \frac{(x-u)}{\frac{S}{\sqrt{n} } }\)

Where x is the sample mean

            u is the population mean

            s is the standard deviation

            n is the sample size.

The hypothesis are: H0 : μ = 20  V/s  H1 : μ > 20

We have x = 21.1

               u = 20

               s = 4.3

               n = 35

Putting these values in the above formula, we get:

\(\rm Z= \frac{(21.1-20)}{\frac{4.3}{\sqrt{35} } }\\\\\rm Z= \frac{(1.1)}{\frac{4.3}{\sqrt{35} } }\\\\\)

Z = 1.513

difference or df = n -1 ⇒ 35-1 ⇒ 34

P-value at (1.513, 34) =  0.06976  (From the p-value calculator)

P-value = 0.0698 (Rounded to 4-decimal places)

Thus, the p-value is 0.0698 if rounded to 4-decimal places.

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The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

There are infinitely many numbers equivalent to 7/11

since 7/11 is a fraction that can be simplified in different ways.

We can multiply the numerator and denominator with the same number to get the equivalent fractions

7/11×2/2 = 14/22

7/11×3/3= 21/33

7/11×4/4 =28/44

7/11×5/5 =35/55

Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

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The solution to the quadratic equation 3x² + 5x + 4 = 0 is -5 ±√23/6

Using the quadratic formula, we have the general equation;

ax + bx + c = 0

The general formula is given as;

= (-b±√(b²-4ac))/(2a)

Now, substitute the values, we get;

= -(5) ± √(-5)² - 4 × 3 × 4)/2(3)

find the square value and multiply

= -5± √25- 48/6

Then, we have;

= -5 ±√23/6

Hence, the solutions is -5 ±√23/6

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Answer: attribute of circle A

Step-by-step explanation: took it ur good

Answer:

it's (g) can be either 0.75 or 12.875

Answer:

y = 145°

Step-by-step explanation:

Before we can find m ∠y, we need to find the sum of all the angles in the polygon using the formula (n-2)*180 where n is the number of sides.

The figure is a heptagon and has 7 sides so we have:

\(Sum=(n-2)*180\\Sum=5*180\\Sum=900\)

Now we can set all the angles equal to 900 and solve for y:

\(116+129+130+135+125+y+120=900\\755+y=900\\y=145\)

A bucket contains 2.5 L of bleach solution

Another bucket y liters of bleach solution

Hence,

The total amount of bleach solution will be given to be

The total amount of bleach solution = (2.5 + y) liters

That is the algebraic expression is

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

250 and 250.1

Answer:

250.1

Step-by-step explanation:

5002 divided by 20 equals 250.1

Answer:

500

Step-by-step explanation:

rrrrrrr

Answer:

9

Step-by-step explanation:

80 + 60 = 130

180 - 130 = 50

50 = 6x-4

+4   +4

54 = 6x

/6  /6

9=x

Answer:

To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.

Step-by-step explanation:

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer: see photo posted below

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