What equation mathches this situation John had 10$. He spent x dollar now he has $3.20

Answer:

for x=3

Step-by-step explanation:

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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The maximum displacement is 5 centimeters.

The time required for one oscillation is π seconds.

The frequency is 1 / π Hz.

Equation to model the motion of the object is x(t) = 5 × cos(2t)

The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.

In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.

The period of oscillation is given as π seconds.

The period (T) is the time required for one complete oscillation.

The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.

Thus, the frequency is the inverse of the period: f = 1 / T.

To model the motion of the object, we can use the equation for simple harmonic motion:

x(t) = A×cos(ωt + φ)

A = 5 centimeters (maximum displacement),

T = π seconds (period),

f = 1 / π Hz (frequency).

To find ω, we can use the relation ω = 2π / T:

ω = 2π / π = 2 radians/second.

The equation to model the motion of the object is:

x(t) = 5 × cos(2t)

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Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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The additional information that is obtained by measuring two individuals on an interval scale compared to a ordinal scale is the magnitude of the difference between the two measurements.

Measurement scale is an analysis tool used in statistics that are used to measure different variables. Examples of measurement scale are:

When measuring two individuals, on an interval scale the magnitude of the difference between the two measurements can be taken.

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The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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Answer: 43.75 miles per day.

Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.

Answer:

-$2.50

Step-by-step explanation:

Since it said that one stock fell $12.50,that means that the $12.50 is negative.Then you have to do -12.50 ÷ 5 which equals -2.50

Hope this helped!

Answer:

The distance Jeremey swims in a day is 4/5 Kilometers per day.

Solving:

(28/5)/7 = 28/7x5 = 4/5 kilometers per day

{when I put the / it means fraction}

explanation:

You have to turn 5 3/5 into an improper fraction, and do to do that you have to do 5 x 5 = 25 then 25 + 3 = 28/5

so in a 7 day period she swims 5.6 kilometers. So you have to do 5.6/7 = 0.8

So it would be 0.8 kilometers in a day which is 4/5 kilometers

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If this helps, pls give me the brainliest

To calculate the initial mass we must use the half life equation

Where

λ the dacay constant

Nt is the ending amount

N0 is the initial amount

t is the elapsed time

First, we must calculate λ

Where

t1/2 is the half life

So λ will be

Then, we must solve the initial equation for N0

So, the initial mass of the sample was 96.1538 mg.

2.

To calculate the mass after 4 weeks me must convert weeks to days and then we will use the same formula

So, the mass after 4 weeks will be 0.7509 mg

The amount of money that is invested in the account that yields an 8% interest is $6,050.

The amount of money that is invested in the account that yields a 4% interest is $4,650.

Given these two equations:

x = y + 1400

x - y = 1400 equation 1

0.08x + 0.04y = 670 equation 2

take the following steps to determine the amount of money invested at each interest rate:

Multiply equation 1 by 0.08

0.08x - 0.08y = 112 equation 3

Subtract equation 3 from equation 2

0.12y = 558

Divide both sides by 0.12

y = 558 / 0.12

y = $4,650

x =  $4,650 + 1400

x = $6,050

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Tom would bank Ksh 277,272.73 and John would bank Ksh 693,939.39 at the end of the business day with 25% markup.

The markup is the discrepancy between a product's selling price and its cost price. Adding a particular percentage to the cost price to arrive at the selling price of a product is a frequent practise in business. Depending on the sector, the level of competition, and other elements, the markup % may change.

Since it influences a product's or service's profitability, markup is significant in business. If the markup is too low, the company could not have a sufficient profit to pay its bills and continue operating. The product could not be competitive with other similar items on the market if the markup is too high.

Let us suppose the cost price and sales price = x.

Thus,

For Tom:

Cost of 5 A + Cost of 2B = 5x + 2x = 7x

Sale of 10 B = 10(2x) = 20x

Here,

Profit = Sale - Cost = 20x - 7x = 13x

For the given value of profit we have:

Tom's profit = Ksh 230,000

13x = 230,000

x = 17,692.31

Simillarly for Jhon:

or John:

Sale of 3 A = 3(5x) = 15x

Cost of 13 B = 13x

Profit = Sale - Cost = 13x - 15x = -2x

John's profit = Ksh 110,000

-2x = 110,000

x = -55,000

Now, the markup is 25%,:

New cost price for John = 17,692.31

New sale price for John = 17,692.31 + 0.25(17,692.31) = 22,115.39

Actual sale price for John = 22,115.39 - 0.15(22,115.39) = 18,798.08

The new profit is thus:

New cost price for John = 17,692.31

New sale price for John = 17,692.31 + 0.25(17,692.31) = 22,115.39

Actual sale price for John = 22,115.39 - 0.15(22,115.39) = 18,798.08

Hence, Tom would bank Ksh 277,272.73 and John would bank Ksh 693,939.39 at the end of the business day.

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If the total cost for 175 minutes was $77.5. The constant charge for each minute used is: 0.1.

Let x = fixed monthly rate

Let m = per minute charge

x + 150m = 75    (equation 1)

x + 175m = 77.5   (equation 2)

Subtract equation 1 from equation 2

25m = 2.5

Divide both side by 25m

m=2.5/25

m = 0.1

Therefore If the total cost for 175 minutes was $77.5. The constant charge for each minute used is: 0.1.

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The constant charge for each minute used is:0.10

What is the cost function?

The total cost function is determined as the  fixed monthly fee plus the constant rate multiplied by the number of minutes used in the month.

Part 1:

$75=FC+(CR*150)

75=FC+150CR

Part 2:

$77.5=FC+(CR*175)

77.5=FC+175CR

deduct the first equation from the second

2.5=25CR

CR=2.5/25

CR=$0.10

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The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

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Answer:

D. t = 12m + 8

Step-by-step explanation:

This is the correct answer. I took the test.

The linear function that models the situation is:

\(t = 12m + 8\)

A linear function is modeled by:

\(t(m) = am + b\)

In which:

In this problem:

Thus, the relationship is modeled by:

\(t = 12m + 8\)

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The elevation of the squirrel nest is 9.275 feet

The gopher built his home 5 3/5 feet below the surface of the earth.

A squirrel built his home in a tree 14 7/8 feet above the gopher's home.

The elevation of the squirrels can be found as follows:

The gopher home is 5 3 / 5 ft below the surface of the earth.

The elevation of the squirrel = 14 7 / 8  - 5 3 / 5

The elevation of the squirrel = 119 / 8 - 28 / 5

The elevation of the squirrel = 595 - 224 / 40

The elevation of the squirrel = 371 / 40

The elevation of the squirrel = 371 / 40

The elevation of the squirrel = 9.275 ft

Therefore, the elevation of the squirrel nest is 9.275 feet.

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Answer:

where is the triangle?

Step-by-step explanation:

Answer:

9.66666666667

Step-by-step explanation:

The fraction 58

6

is equivalent to 9 2

3

.

This fraction is a improper fraction once the absolute value of the top number or numerator (58) is greater than the absolute value of the bottom number or denomintor (6). So, the equivalent fraction is a mixed number which is made up of a whole number (9) and a proper fraction (2

3

).

The fraction 58

6

is equal to 58÷6 and can also be expressed as a decimal as 9.66667 and expressed as a percentage as 966.7%.

Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =\((9 / 24) \times 100 = 37.5\)%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = \((8 / 24) \times 100 = 33.3\)%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = \((22 / 24) \times 100 = 91.7\)%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = \((15 / 24) \times 100 = 62.5\)%.

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Carson can line up his textbooks on his bookshelf in 24 different ways

What is Permutation?

Permutations are a way to count the number of ways that a set of objects can be arranged in a particular order. A permutation is an ordered arrangement of objects.

What is Combination?

The combination is a way to count the number of ways that a set of objects can be selected without regard to order. A combination is an unordered selection of objects.

According to the given information:

Carson has four textbooks that he wants to line up on his bookshelf. The number of different ways that he can do this is given by the permutation formula:

n! / (n - r)!

where n is the total number of objects (in this case, 4 textbooks), and r is the number of objects that he wants to arrange in a particular order (in this case, all 4 textbooks).

On substituting the values in the formula,

4! / (4 - 4)! = 4! / 0! = 4 x 3 x 2 x 1 / 1 = 24

Therefore, Carson can line up his textbooks on his bookshelf in 24 different ways.

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The sum of net exports for Germany and China is,

d.) 150 billion dollars

Now, As per the given bar graph, we can draw the following conclusions:

Net exports for United States = ~ -110 Billion Dollars (It means import of 110 Billion Dollars)

Net exports for Denmark = ~ -30 Billion Dollars (It means import of 30 Billion Dollars)

Net exports for China = ~ 115 Billion Dollars

Net exports for Germany = ~ 35 Billion Dollars

We have to find the sum of net exports of Germany and China:

35 + 115 = 150 Billion Dollars.

Hence, The correct answer is,

d. 150 Billion Dollars.

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Complete question is,

The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports are obtained by subtracting total imports from total exports; a negative net export means the country imported more goods than it exported.

What is the sum of net exports for Germany and China ?

a.

-80 billion dollars

c.

90 billion dollars

b.

180 billion dollars

d.

150 billion dollars

Answer:

Step-by-step explanation:

The properties of prisms are similar for every kind of prism with each one defined by the shape that makes up the base of the prism. Any polygon can be the base of a prism.

A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area. Rectangular prisms, in particular, are one of the most fundamental and common shapes in three-dimensional geometry and are also used in fields such as carpentry and graphic design.

Prism: Math Definition

A prism is a type of three dimensional polyhedron. It has two "bases" that are parallel to each other. These bases are the same type of polygon. The other faces (aka the "sides") of the prism are parallelograms (this is true no matter what shape the bases are).

Hope this helps ✌️

Any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

One of the three-dimensional shapes that can be created with six pairs of parallel faces is a rectangular prism. Three-dimensional shapes in this category include cubes and cuboids. Prisms come in a variety of forms depending on the base.

Hence, any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.

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Answer:

Factored Form : (3x + 2)(x + 1)

Roots: x = -2/3, x = -1

Step-by-step explanation:

Multiply 2 (the term with no variable) by 3 (coefficient of the first term with a degree of 2) to get 6

Use The Diamond Method      See attachment

Factor :

Roots:

Using Zero-Product property:

Second scenario:

-Chetan K

Answer:

25 x 3 a 2

Step-by-step explanation:

Given the L-shaped line

where p 1 = ( 0, 2, 2 )

L → Р = Ро + tυwhere p = ( x, y, z ) and p 0 = ( 1, 1, 0 ) and v = ( 1, 2, 2 )

The components p 1 and L constitute a plane with the normal vector n given by

→ \sn \s= \sλ \s1 \s( \sp \s0 \s− \sp \s1 \s)

when R = 1

L 1 is the desired line and is orthogonal to L, so

L 1 p = p 1 + t 1 v 1 = p 1 + t 1 v 1 where

2 v n with 2 R v 1 = 2 v n with 2 R

It is more advantageous to parameterize relations or implicit equations since they become explicit functions once parameterized.

A circle, for example, may be defined as x 2 + y 2 = r 2. When a relation passes the vertical line test, you know it is a function; a circle does not.

When you try to define the circle directly, you get: y = r 2 x 2. Again, this is not a function; it is the combination of two functions.

When we parameterize a circle, we get: x = r cos t

y \s= \sr \ssin \st

t \s∈ \sR

Both x and y are explicit functions that may be plotted, integrated, or differentiated as needed.

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The parametric equation of the plane is x = 11/6 t, y = -5/2t, z = 1 1/2 t.

(x, y, z) = (0, 2, 2) + t(i - j +2 k)

A plane that is parallel to this line will have the general equation:

x - y + 2z = c

We make it contain the point by substituting in the point and solving for c:

0 + 2 +2(2) = 4

c = 4

The plane x - y + 2z = 4 contains the point (0, 1, 2) and is perpendicular to the line.

To find the point where the line intersects the plane, substitute the parametric equations of the line into the equation of the plane:

x - y + 2z = 4

(1 + t) − (2 − t) + 2(2t) = 4

1+t-2+t+ 4t = 4

6t = 5

t = 5/6

x = 11/6, y = 7/6, z=5/3

The line intersects the plane at the point (11/6, 7/6, 5/3)

The vector, v, from the given point to the intersection point

v = (11/6 - 0)i + (7/6 - 2)j + (5/3 - 2)k

v = 11/6 i -5/2 j - 1/2 k

The vector equation of the line is:

(x, y, z) = (0, 2, 2) + t (11/6 i -5/2 j - 1/2 k)

The parametric equations are:

x = 11/6 t,

y = -5/2t,

z = 1 1/2 t

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Answer:

442

Step-by-step explanation:

you can download g a u t h m a t h for questions like this, good luck :D

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Explanation:

1/3 converts to the decimal form 0.333333... where the 3's go on forever

5/3 is a similar story but 5/3 = 1.666666.... where the '6's go on forever

The notation \(0.\overline{6}\) indicates that the 6's go on forever.

So, \(0.\overline{6} = 0.666666\ldots\)

The horizontal bar tells us which digits repeat. As another example, \(0.\overline{123} = 0.123123123123\ldots\)

The three dots just mean "keep this pattern going forever".

----------

Everything mentioned so far has the decimal portions go on forever repeating some pattern over and over.

The only one that doesn't do this is 33% which converts to the decimal form 0.33

The value 0.33 is considered a terminating decimal since "terminate" means "stop". So this is the value that doesn't fit in with the other three items mentioned.

Answer:

Last answer: \(cot^{2} \alpha - csc^{2} \alpha = -1\)

sorry couldn't find theata so I just used alpha.