A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After
11
11
11
11
months, he weighed
140
140
140
140
kilograms. He gained weight at a rate of
5.5
5.5
5.5
5, point, 5
kilograms per month.
Let
y
y
y
y
represent the sumo wrestler's weight (in kilograms) after
x
x
x
x
months.
Complete the equation for the relationship between the weight and number of months.

The cost to hire a tent consists of a fixed cost of $17.50 and a variable cost of $2.40 per day.

Let's call the total cost of hiring a tent for 4 days as T4, and the total cost of hiring a tent for 7 days as T7.

The first equation is the cost for 4 days:

T4 = c + 4d

The second equation is the cost for 7 days:

T7 = c + 7d

We know the values of T4 and T7 from the problem statement:

T4 = $27.10 and T7 = $34.30

We can now use these two equations and their corresponding values to solve for c and d:

Substitute the value of T4 into the first equation:

$27.10 = c + 4d

Substitute the value of T7 into the second equation:

$34.30 = c + 7d

Now we have a system of two equations with two variables (c and d).

Subtract 4d from both sides of the first equation:

$27.10 - 4d = c

Subtract c from both sides of the second equation:

$34.30 - c = 7d

Now we can substitute the value from step 4 into step 5:

$34.30 - $27.10 + 4d = 7d

7d = $34.30 - $27.10 + 4d

3d = $7.20

d = $7.20 / 3 = $2.40

Now we have the value of d, we can substitute it back into the first equation to find the value of c:

$27.10 = c + 4d

$27.10 = c + 4($2.40)

$27.10 = c + $9.60

c = $27.10 - $9.60

c = $17.50

Therefore, c= $17.50 and d= $2.40

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The Power e is to which a number should be raised to get the specified number is called the logarithm of that specific number. For example, the logarithm to the base of 10 of 1000 is 3 because 10 raised to the power 3 is 1000.

The logarithmic function is the reverse of the Mathematical function of the exponential function. The logarithmic function is log ax = y is equal to x = ay.

There are mainly two types of logarithms normally used in Mathematics. They are one is common logarithms and second natural logarithms.

The log number ‘e’ is an irrational Mathematical constant and is mostly used as the base of natural logarithms. The number ‘e’ is the only unique number in mathematics whose value of natural logarithm is equal to unity.

The value of log ‘e’ was calculated in 1683 by Jacob Bernoulli.

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Answer:

x = 2

y = 4

Step-by-step explanation:

On solving the provided question, we can say that w = 10 in; l = 2 in; volume of prism = WL = 10 X 2 = 20 in sq

The definition of a prism in geometry is a polyhedron with an n-sided polygonal base, a second base that is a shifted copy of the first base, and n additional faces (necessarily all parallelograms), with two Connect the corresponding sides of the base. Translations of the base are all cross sections that are parallel to it. A prism is a two-sided, solid, three-dimensional object. It consists of equal cross-sections, flat sides, and identical bases. A prism has faces that are parallelograms or rectangles without bases. A prism is a homogenous, solid, transparent, refracting object enclosed by two planes that are obliquely angled to one another. Two triangular faces and three parallel rectangular faces make up a typical prism. They are constructed of either glass.

here,

w = 10 in

l = 2 in

volume of prism = WL = 10 X 2 = 20 in sq

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The three choices are increase the sample size, pick individuals from various grade levels and in all language arts classes, pick the fourth student.

what is sample size?

The number of observations utilized to calculate estimates for a given population is referred to as the sample size. From the population, a sample size was chosen. The term "sample size" describes the number of subjects or observations that make up a study. n is typically used to represent this number.

The three choices are increase the size of the sample, pick individuals from various grade levels and in all language arts classes, pick the fourth student.

It's important to take into account the following data:

The sample size should be raised in order to boost the result validity, The students should be chosen from among the various grade levels and For all language kinds, a student should be chosen every fourth student.

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We have P(A ∩ B) is 2/5  and P(A ∪ B) is 5/5.
Lincoln and West Pine high schools offer both hockey and golf.

P(A ∩ B) is the probability that a randomly chosen high school has both a hockey team and a golf team. The probability that a school picked at random offers both hockey and golf is 2/5 (Lincoln and West Pine are the only schools that offer both out of 5 total schools.)

East Valley, Lincoln, West Pine, Adams and North River high schools offer hockey or golf or both.

P(A ∪ B) is the probability that a randomly chosen high school has either a hockey team or a golf team or both. The probability that a school picked at random offers either hockey or golf or both is 5/5 (All 5 high schools in the district offer at least one of the sports.)

Therefore, the correct answers of the problem statement are P(A ∩ B) is 2/5  and P(A ∪ B) is 5/5.

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At 2 miles, both the bus and the taxi will cost $6.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given that the fare on bus is $3 per mile.

The taxi fare of taxi is $4. 00 plus $1. 00 per mile.

Assume that at x miles both fare will be the same.

The fare for x miles in bus is $3x.

The fare for x miles in taxi is $4 + $x

Equate to the fares:

3x = 4 + x

Subtract x from both sides:

3x - x = 4

2x = 4

Divide both sides by 2:

x = 4/2

x = 2.

The fare for 2 miles in bus is $3×2 = $6.

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Answer:1

Step-by-step explanation:;

The graph is increasing when the graph has positive slope and the graph is decreasing when the graph have a negative slope .

What is Slope ?

The slope of any line can be calculated by using any two distinct points on the line. The slope of a line formula calculates the ratio of the vertical change to horizontal change between two distinct points of the line.

that means , let the two points on the line be [tex](a,b)[/tex] , [tex](c,d)[/tex] . So , the slope will be calculated as : Slope(m) = [tex]\frac{d-b}{c-a}[/tex] .

(i) When the slope of the graph is positive , it indicates that the graph rises when moving from left to right , Hence , the graph is increasing .

(ii) When the slope of the graph is negative , it indicates that the graph falls when moving from left to right , Hence , the graph is decreasing .

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A) Amaire have more money than Jermaine after 10 years.

B) By [tex]5.387*10^{11}[/tex]% Amaire has more money than Jermaine.

What is compound interest?

The interest charged on a loan or deposit is known as compound interest. It is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest.

Amare and Jermaine has initial amount = $1000

Amare spend his money that pays 2.25% compounded daily.

where are Jermain invest his money that pays 2.25% compounded annually.

Formula of Compound interest that compounded daily

final amount = [tex]A(1+\frac{r}{365})^{365t}[/tex]

where A is initial amount and t is time in years .

final amount after 10 years

final amount = [tex]1000(1+\frac{2.25}{365})^{365*10}[/tex]

final amount = 1000×[tex]1.00616^{3650}[/tex]

final amount = 1000×5.51×[tex]10^{9}[/tex]

final amount  = $5.51 ×[tex]10^{12}[/tex]

Formula of Compound interest that compounded annually

final amount = [tex]A(1+\frac{r}{100})^{t}[/tex]

where A is initial amount and t is time in years .

final amount after 10 years

final amount = [tex]1000(1+\frac{2.25}{1000})^{10}[/tex]

final amount = 1000×[tex]1.00225^{10}[/tex]

final amount = 1000×1.0227

final amount  = $1022.7

Part A :

Amare has more money after 10 years.

part B :

percent more money = [($5.51 ×[tex]10^{12}[/tex] - 1022.7)/1022.7]*100=[tex]5.387*10^{11}[/tex]%

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Answer: 750

Step-by-step explanation:

3000/4= 750

750

The drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.

A remark that logically contradicts itself or runs counter to one's expectations is referred to as a paradox.

It is a claim that, despite appearing to be supported by genuine premises and sound reasoning, leads to a logically untenable or self-contradictory conclusion.

One of the most straightforward yet well-known paradoxes is the liar paradox, sometimes known as the liar's paradox statement.

A paradox exists when someone says, "This statement is a lie" or "This statement is false," because if it were true, the statement would be speaking the truth.

In "The Importance of Being Earnest", the play has multiple contradictions.

Because the upper class is required to lead because it is the governing class, Algernon's dissatisfaction with the lower class for not setting a better moral example for the upper class is paradoxical.

Therefore, the drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.

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The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

z = (x-μ)/σ/n, where

x is the raw score = 20 mpg

μ is the population mean = 21 mpg

σ is the population standard deviation = 2.9

n = random number of samples [tex]x < 20[/tex]

[tex]= z = 20 - 21/2.9/\sqrt{25} \\= z = -1/2.9/5\\= z = -1.72414\\[/tex]

P-value from Z-Table:

[tex]P(x < 20) = 0.042341[/tex]

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:)

ggggggggggggrssdfffffffffffffffffffffffffffffffffrsssssssssshggh

The graph of the given equation y=2x+1 is attached below.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, when the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The equation y=2x+1 gives the following information:

The slope is 2

The line intercepts is 1 on the y axis

First, we would put a point or a dot on (0,1) on the y axis. Then start making 2 points above and below my original point. IT would do this by using the slope 2/1.

By using my slope we know that (1,3) and (-1,-1).

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The amount of money in the account after 6 years is $68,847.56

To solve this problem, you can use the formula for compound interest,

where V is the final value of the account, P is the initial principal, r is the annual interest rate (expressed as a decimal), and t is the number of years the money is invested.

The formula for compound interest, V = Pe^(rt) is used to calculate the future value of an investment. It takes into account the effect of compounding, which means that interest is earned not only on the initial investment but also on the accumulated interest over time.

Plugging in the given values, we have

V = 51200e^(0.0546) = 51200e^0.324. e^0.324 is approximately 1.38, so the final value of the account is 512001.38 = $68,847.56

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1) Jada does not have 90% of the total possible points before the final test.

2) If Jada gets at least 92 out of 100 on the final test, she will not get an A in the class.

From the following table of Jada’s results before the final test in the class the total number of points possible:

150 + 100 + 100 + 100 = 450

And Jada’s total points before the final test:

141 + 87 + 81 + 91 = 400

To check whether Jada have 90% of the total possible points before the final test, we find the percentgae of  Jada’s total points.

(400/450) × 100 = 88.89%

This means, Jada does not have 90% of the total possible points before the final test.

After final test, the total number of points possible:  450 + 100 = 550

And if she gets at least 92 out of 100 on the final test, her total points would be,

400 + 92 = 492    

And the percentgae of  Jada’s total points would be,

(492/550) × 100 = 89.45%

Given that Jada needs to have at least 90% of the total number of points possible.

so, she will notl get an A in the class.

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The length of the median = 6[tex]\sqrt{3}[/tex]

If we call the longer base "a" and the shorter base "b", then we know that:

a:b = 2:1

Since the ratio of the four sides is 1:1:1:1, we know that the height, median and the longer base are all equal.

We can use that information to determine the area of the trapezoid. The formula for the area of a trapezoid is:

Area = (a + b) * h / 2

We know that the area is  27[tex]\sqrt{3}[/tex] and the height and median are equal, so we can set up the equation:

(a + b) * h / 2 = 27[tex]\sqrt{3}[/tex]

We also know that a:b = 2:1, so we can substitute that in:

(2b + b) * b / 2 = 27[tex]\sqrt{3}[/tex]

Simplifying, we get:

3b^2 = 54 * [tex]\sqrt{3}[/tex]

So the length of the median (h) is b

= [tex]\sqrt{(54 * \sqrt{3} / 3) }[/tex]

= 6[tex]\sqrt{3}[/tex]

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a. Radius and diameter of a circle is proportional

b. Radius and circumference of a circle is proportional

c. Radius and area of a circle is not proportional

d. Diameter and circumference of a circle is proportional

e. Diameter and area of a circle is not proportional

Given that,

We have to find the pair of quantities are proportional to each other.

We know that,

In its most basic form, a ratio is a comparison between two comparable quantities.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know

a. Radius and diameter of a circle is proportional because d=2r

b. Radius and circumference of a circle is proportional because C = 2πr

c. Radius and area of a circle is not proportional because A = πr² non linear relationship.

d. Diameter and circumference of a circle is proportional C = πd

e. Diameter and area of a circle is not proportional A =  πd²

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Answer: A

Step-by-step explanation:

Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.

A: correct

Looking at choice A, it says the interval is from -4<x<-2. This means we have to find x=-4 and x=-2. On the graph, that interval is below the x-axis, so it is negative.

B: incorrect

Looking at choice B, it says the interval is from -1<x<1. This means we have to find x=-1 and x=1. On the graph, that interval is above the x-axis, so it is positive, not negative.

C: incorrect

Looking at choice C, it says the interval is from 2<x<4. This means we have to find x=2 and x=4. On the graph, that interval is above the x-axis, so it is positive, not negative.

Therefore, A is the correct answer.

Answer: 7

Step-by-step explanation:

1. You need to know that the input value means the x-value, which means x = 3.

2. Input 3 in the function

3. Solve 3+4

4. 3+4 = 7

Answer:

put y=4 then four comes with- and 4-3=2

Angle ADC = 120 degrees.

A certain portion of a circle that is created based on two radius of the same circle and one arc. Area of sector for a circle with radius r is given by π r²Ф/ 360°

Given, two circles of radius 1 unit and 2 unit which have same center D.

We know area of a circle = π r²

Area of larger circle = π 2² = 4π

it is said that the total area of the shaded region that means area of a particular sector is 1/12 of the area of the larger circle.

area of sector, ACD = 1/12 ×4π

as per the question, the ACD sector is located in the smaller circle that has radius 1 unit.

formula for area of sector ACD = π r² ×Ф/360°

where,Фis the central angle of ACD sector

and Ф = ADC

from the above statement, 4π/12 = π r² ADC/360

                        ADC = 1/3×360°

ADC = 120 degrees

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The experimental probability of spinning of B or C is 1/3.

In the given question, the spinner is spun 75 times.

We have to find the experimental probability of spinning of B or C.

The given data is:

Outcome          A              B              C              D

Frequency       20             11             14             30

Total frequency = 20 + 11 + 14 + 30

Total frequency = 75

The probability of spinning B = Frequency of B/Total Frequency

The probability of spinning B = 11/75

The probability of spinning C = Frequency of C/Total Frequency

The probability of spinning C = 14/75

Now the experimental probability of spinning of B or C;

P(B or C) = P(B) + P(C)

P(B or C) = 11/75 + 14/75

P(B or C) = (11 + 14)/75

P(B or C) = 25/75

P(B or C) = 1/3

Hence, the experimental probability of spinning of B or C is 1/3.

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Answer:

17

I wish you luck in your assignments.

On solving the provided question, we can say that it is right angle triangle provided, so  cos 60 = 3/H => 1/2 = 3/H => H = 6

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

it is right angle triangle provided,

so

cos 60 = 3/H

1/2 = 3/H

H = 6

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If no payments are made then the then after 1 year the interest will go by 5% , therefore the amount to be paid will become ,   P + 25 = 525 $.

Principle + 5% of 500

Therefore, the equation becomes ,

Amount = P + 25

To calculate the interest ,

interest = principal × interest rate × term

             = 500 x 5 x 1

              = 2500.

A loan is defined as a thing or money which is borrowed, especially a sum of money that is expected to be paid back with an interest rate which is fixed by both the parties.

Loans are typically taken or granted by by corporations, financial institutions, and governments. They allow for growth in the overall money supply in an economy and open up competition by lending to new businesses.

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All that is the equivalent angle to the given angle sin∠GFH is cos∠GEJ.

Corresponding angles are those angles which are created in the matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

From the image, we get JE and HF are parallel.

So ∠GFH and ∠GEJ are corresponding angles. That means they are equal.

⇒sin(∠GFH) = sin(∠GEJ).

From triangle GFH, ∠GFH + ∠FGH = 90.

⇒sin(∠GFH) = cos(∠FGH).

Again ∠FGH = ∠EGJ.

⇒sin(∠GFH) = cos(∠EGJ)

All that is equivalent to sin∠GFH is cos(∠EGJ).

Thus, the correct answer is D.

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Answer:

2-6

3-9

5-15

6-18

2-6

4-12

5-15

8-24

Step-by-step explanation:

Multiply by 3