Does Anybody know this? Find the area of the shaded sector

Using geometric sequence concepts, it is found that:

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

As a function of the mth term, the nth term is given by:

[tex]a_n = a_mq^{n - m}[/tex]

Hence, considering the 8th and the 11th term, the common ratio is found as follows:

[tex]a_{11} = a_8q^3[/tex]

[tex]32q^3 = 256[/tex]

[tex]q^3 = 8[/tex]

q = 2.

Then, considering the 11th term and the common ratio, the 13th term is given as follows:

[tex]a_{13} = a_{11}q^2 = 256 \times 2^2 = 1024[/tex]

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Based on the number of people who are older than 35 years and the people with a hemoglobin level between 9 and 11, the probability is 0.531.

This question does not have the relevant data attached so I will use a similar question.

The probability that a person is older than 35 and has a hemoglobin level of between 9 and 11 can be found as:

= Person who has hemoglobin level of between 9 and 11 and is above 35 years / Total number of people older than 35 years

= (162 - 40 - 76) / 162

= 0.531

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Answer:

20

Step-by-step explanation:

using the given formula:

V = 1/3(Base Area)(height)

V = 1/3 (5)(12)

V = 1/3 (60)

V = 20

Answer:

20

Step-by-step explanation:

V = 1/3Bh

V = 1/3 x 5 x 12

V = 4 x 5

V = 20 cubic feet

Answer:

The store makes $21 per sweater.

This is the same as the constant of proportionality between the profit made and the number of sweaters sold.

Step-by-step explanation:

$286−$55

Total Profit=$231

Profit Per Sweater=11/$231

Profit Per Sweater=$21

If store buys 11 sweaters for $55 and sells them for $286 then the  store makes a profit of $21 per sweater.

To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.

Cost per sweater = Total cost / Number of sweaters

= $55 / 11

= $5

Selling price per sweater = Total selling price / Number of sweaters

= $286 / 11

= $26

Profit per sweater = Selling price per sweater - Cost per sweater

= $26 - $5

= $21

So, the store makes a profit of $21 per sweater.

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The above is not a function because -2 is mapped to two elements 2 and -4.

A function relates an input to an output. The three main parts of a function are the inputs, outputs and the relationship.

The formal definition of a function is that it relates each element of a set with exactly one element of another set (possibly the same set).

In other words, one element must be mapped to another element.

Each element cannot be mapped to two elements.

Therefore, the above is not a function.

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Answer:

Hi. Here is your answer:

1/6

Step-by-step explanation:

this is because 1/6 is equal to 5/30 of your answer.

here is proof.

which school do you go to?

Hope this helps

Brainliest please

Have a great day

Please fully rate!

The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]

Since The probability of rolling a [tex]6[/tex] should be [tex]\frac{1}{6}[/tex] because there are [tex]6[/tex] total numbers.

Now The probability of rolling an odd number is [tex]\frac{1}{2}[/tex], since there are an equal number of odd and even numbers on a die.

Now the final probability should be

[tex]=\frac{1}{6}*\frac{1}{2}[/tex]

[tex]=\frac{1}{12}[/tex]

Therefore, The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]

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Answer:

8%

Step-by-step explanation:

Let’s first determine the cost before any discount.

To do so, we first need to determine the area to be carpeted:

Area of Rectangle = Length × Width = 24 ft × 18 ft = 432 square feet.

To find the cost before discount we need to multiply the area by the cost per square foot:

Cost Before Discount = Area × Cost per square foot

Cost Before Discount = 432 square feet × $8.14 per square foot

Cost Before Discount = $3,516.48

We can now determine the discount percentage he received:

Cost After Discount = Cost Before Discount − (Discount % × Cost Before Disc.)

$3,235.16 = $3,516.48 – (Discount % × $3,516.48)

To solve, it is easiest to plug in each answer to see which discount percentage is the correct solution (i.e. “work backwards” from the given answers) or use the equation solver on our calculator.

We find that a discount of 8% is the correct solution.

If you instead prefer to use algebra to solve for the discount percentage, here are the steps.

We will rewrite the equation, using x to represent “Discount %”.

$3,235.16 = $3,516.48 − (x × $3,516.48)

$3,235.16 = $3,516.48 − $3,516.48x

Factoring out $3,516.48 we have:

$3,235.16 = $3,516.48(1 − x)

Note: Once you get comfortable with this type of problem you should skip straight to the step above.

Dividing both sides by $3,516.48 we have:

$3,235.16$3,516.48=1−x

0.92 = 1 − x

x = 0.08 = 8%

Answer:

The second one is the correct answer

Step-by-step explanation:

There are more mammals on the list than birds and fish combined.

The system of equations and the corresponding matrix model for the following above is given and explained below.

A system of Equations refers to a set of equations that one must solve or interact with all at once.

Let's call the person who carries alleles X, Y, and Z - Xt, Yt, and Zt, respectively.

Also, lets assume that 5 percent of X alleles mutate from X to Y and 3 percent mutate from X to Z in each generation, thus the percent of X alleles remains constant at:

100 - (5 percent + 3 percent) = 92 percent.

Also, because only 0.1 percent of Y alleles evolve from Y to Z, the percentage of Y alleles remains constant at 99.9%.

We must also consider that 90 percent of Z alleles do not change from Z to X, implying that 10% of Z alleles are indifferent.

Hence, the various equations describing the system will be given as:

Xt+1 = 0.92Xt + 0.92Zt

Yt+1 = 0.05Xt + 0.999Yt

Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt

or

Xt+1 = 0.92Xt + 0.000Yt + 0.9Zt

Yt+1 = 0.05Xt + 0.999Yt + 0.0Zt

Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt.

The Matrix Model is given as follows:

[tex]\begin{bmatrix}X_{t+1} \\Y_{t+1} \\Z_{t+1} \end{bmatrix}[/tex]  = [tex]\left[\begin{array}{ccc}0.92&0&0.9\\0.05&0.999&0\\0.03&0.001&0.1\end{array}\right][/tex]  = [tex]\begin{bmatrix}X_{t} \\Y_{t} \\Z_{t} \end{bmatrix}[/tex]

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I'm assuming the given log equation is [tex]\log_{\text{x}}(49) = \text{x}[/tex]

If so, then the exponential form is [tex]\text{x}^{\text{x}} = 49[/tex]

This is because the general form [tex]\log_{\text{b}}(\text{x}) = \text{y}[/tex] transforms into [tex]\text{y} = \text{b}^{\text{x}}[/tex]

For both equations, the 'b' is the base.

Answer:

cost price of the bat: $3130.43

Step-by-step explanation:

3600/1.15 = 3130.43

Hope this helps

The income tax of Mrs Gerung based on the information given in a year will be Rs 142000.

From the information given, the monthly income is s Rs 50,000 and the annual income is equivalent to her 15 month's salary,

The income tax will be:

= 50000 + (450000 × 1%) + (100000 × 10%) + (200000 × 20%) + (125000 × 30%)

= 50000 + 4500 + 10000 + 40000 + 37500

= 142000

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Answer:

  B.  95°

Step-by-step explanation:

Given the three sides of a triangle, the Law of Cosines can be used to find any of the angles.

__

  j² = k² +l² -2kl·cos(J) . . . . . law of cosines applied to this triangle

  J = arccos((k² +l² -k²)/(2kl)) . . . . . solve for angle J

  J = arccos((7² +6.58² -10²)/(2·7·6.58)) = arccos(-7.7036/92.12)

  J ≈ 94.797° ≈ 95°

The measure of angle J is about 95°.
_____

Additional comment

Angle J is opposite side j, which is the longest side. That means angle J is the largest angle in the triangle. The largest angle of the triangle can never be less than 60°. Only one answer choice qualifies. (No computation is necessary.)

Answer:

$40.80.

Step-by-step explanation:

60 - 0.20*60

= 60 - 12

= $48

48 - 48*0.15

= 48 - 7.20

= $40.80.

[tex]the \: answer \: is \: \frac{1}{10} [/tex]

[tex]\blue{———hope it helps———}[/tex]

[tex]\large{ \pink{ \underline{ { \sf{Answer}}}}}[/tex]

[tex]the \: answer \: is \: \frac{1}{10} [/tex]

The value of x will be equal to 14 units.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

Since the two triangles are congruent so the value of x will be calculated as:-

2x  -  9  =  x  +  5

2x  -  x  =   9  +  5

x  =  14

Therefore the value of x will be equal to 14 units.

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Answer:

46,145 yards

Step-by-step explanation:

convert miles to yards then add

Answer:37

Step-by-step explanation:

just took the test

[tex]\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]

         Which of the statements below are true for linear functions?

         Select all that apply.

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

       The general equation for linear functions is [tex]\bold{y=mx+b}[/tex].

The equation [tex]\bold{y=ax^2+bx+c}[/tex] is the general equation for quadratic functions.

The equation [tex]\bold{y=ab^x}[/tex] is the general equation for exponential functions.

Linear functions don't have a vertex, they have slope (m) and y-intercept (b).

One way we can define the slope of a linear function is

[tex]\bold{Slope=\dfrac{Rise}{Run}}[/tex]

So we conclude that the right options are

[tex]\square\!\!\!\!\checkmark[/tex] The general equation is y=mx+b.

[tex]\square\!\!\!\!\checkmark[/tex] The slope of the graph is constant and can be defined as rise over run.

[tex]\rule{300}{1}[/tex]

Answer:

A layer of granite

Step-by-step explanation:

This layer so granite is impervious hence is not porous. Due to its non-porosity, water cannot pass through it. These types of rocks are important in aquifers. When an impervious rocks sandwich a pervious layer or are below a pervious rock, an aquifer is created.

The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We get;

An igneous rock which is formed by the cooling of a molten body of rock and more cooling of the molten body of rock (magma) is a Granite. The surrounding rock is more dense than the the body of molten material and they rise in form of bulb shaped known as plugin.

After rising, the granite slowly cools down, visible crystals that makes up layers are formed during the slow cooling process.

Water hardly penetrate through a layer of granite because of it's dense nature. The layers of granite prevent the vertical movement of water.

In this case water pass through the layer of rock because it is less dense, but it can't pass through a layer of granite because it is very dense and if forms a bulb(onion) like shape.

Thus, The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.

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Answer:

1/21

Step-by-step explanation:

there are 7 songs total

3 rock sounds, 2 reggae songs and 2 country songs

probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time

probability of choosing a country song first time = # of country songs / # of total songs

# of country songs = 2

total # of songs= 7

so probability of picking a country song = 2/7

if she doesn't return the disc there are 7 - 1 = 6 more songs left and 2 - 1 = 1 is country

probability of choosing country song second time

again probability = # of country songs / total # of songs

here there are only 6 songs total and 1 of them are country

so probability = 1/6

we have probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time

first probability = 2/7

second probability = 1/6

total probability = 2/7 × 1/6 = 1/21

Step-by-step explanation:

Converting 20 minutes into second....

20 × 1 minute

20 × 60 seconds

1200 seconds...

16. PM = 26x + 8x^2y

A = 52x^3y

17. Area = 33a^5b

Answer:

π^8

Step-by-step explanation:

π^30/π^22= π^8

The volume in cm 112098 cm³.

The volume of water in liters 112 liter.

The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder.

Given: height= 28m= 2800cm, internal radius= 3.5 cm, external radius = 5 cm.

Volume of cylinder

= πr²h

= 3.14(5²-3.5²)2800

=3.14*12.75*2800

=112098 cm³

Volume of water in liter is 112.098 or 112 liter.

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Answer:

The area of the pyramid is 51 m²

Answer:

The answer is 51m

Step-by-step explanation: