I can’t find the answer

Answer:

Step-by-step explanation:

What is the relation between yard and feet?

The value of one yard is equal to 3 feet.

That is given by,

1 yard=3ft.

We have 2 yards piece of aluminum wire

Firstly, we have to find the cost for 2 pieces of wire.

2x3=6

The cost is 13.80

13.80/6=2.5.

Therefore the price per foot will be $2.5.

On Solving the initial value problem y(t)  , e⁻²¹ dy/dt =y⁻¹(1-e⁻²t); y(0) = 0  , we get the solution is y² = e^(2t) - 2t - 1 .

The function is : e⁻²¹ dy/dt =y⁻¹(1-e⁻²t) ;

⇒ e^(-2t)dy/dt = (1/y)(1-e⁻²t)   ..because y⁻¹ = 1/y ;

⇒ ydy = e^(2t)[1-e^(-2t)) dt ;

⇒ ydy = (e^(2t) - 1)dt ;

now integrating both sides of the problem ;

⇒ y²/2 = [e^(2t)/2 - t]+c ;

Now we know that initial value : y(0) = 0 ;

Substituting y(0)= 0 , we get ;

⇒ 0²/2 = [e⁰/2 - 0]+c ;

⇒ c = -1/2 ;

So , the solution is  y²/2 = [e^(2t)/2 - t] - 1/2 .

it can be written as : y² = e^(2t) - 2t - 1 .

Therefore , the solution of the initial value problem is y² = e^(2t) - 2t - 1 .

Solve the following initial value problems for y(t) by antidifferentiation or by aseparation of variables :  e⁻²¹ dy/dt =y⁻¹(1-e⁻²t); y(0) = 0  .

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The graph of g(x) = 5x+9 can be obtained from the graph of f(x) by shifting the graph of f(x) up by 9 units.

A graph is a visual representation of data points or connections between them. It is a mathematical structure used to represent relationships among data points. Graphs are used in various fields, such as mathematics, physics, engineering, computer science, and economics. They are also used to visualize complex information and to make it easier to understand. Graphs can be used to show relationships between two or more variables, to show how different variables are connected, and to illustrate trends in data.

This is because the equation of g(x) is the same as f(x) but with an added constant of 9. This addition of 9 causes the graph of g(x) to be shifted up by 9 units compared to the graph of f(x).

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The trigonometry function represented on the graph is

Sine waves or sinusoidal waves are the graphs of functions that are defined by the equation y = sin x.

The graph repeats itself as it advances along the x-axis, as you can see. Periods are the cycles of this predictable repetition. Every 6.28 units, or 2 pi radians, this graph repeats.

How to interpret sine graph

The sine graph in the problem starts at (0, 0)

The equation is y = -0.5 sin (4x - π/2 ) - 1

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Two unit squares share the same center. the overlapping region of the two squares is an octagon with perimeter 10/3. The area of the octagon is 0.833 square unit.

Let the octagon's eight successive vertices be A, B, C, D, E, F, G, and H.

Connect the squares' vertices to the shared center O by drawing the segments OA, OB, OC, OD, OE, OF, OG, and OH.

The octagon is divided into 8 triangles by the segments.

The bases of these triangles are AB, BC, CD, DE, EF, FG, GH, and HA; each triangle's height equals 1/2 of a unit.

Consequently, the octagon's surface area is

Area = (1/2) × (1/2) × (AB + BC + CD + DE + EF + FG + GH + HA)

Area = (1/4) × Perimeter of the octagon

Perimeter of the octagon = 10/3

Area = (1/4) × (10/3)

Area = 10/12

Area = 0.833 square unit.

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The amounts needed of brown and green material for 52 gallons of compost are

Brown material: 39 gallons.

Green material: 13 gallons.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

On the first column of the table, the total amount is:

12.75 + 4.25 = 17 gallons.

The fractions of each material are given as follows:

Brown material: 12.75/17 = 0.75

Green material: 4.25/17 = 0.22.

Thus, the amount of brown material needed with 52 gallons is:

0.75 x 52 = 39 gallons.

and, the amount of green material needed with 52 gallons is:

0.25 x 52 = 13 gallons.

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Answer:

Brown material: 39 gallons

Green material: 13 gallons.

Step-by-step explanation:

The value of g(−4,000) is −4,001, the value of g(0) is −1, and the value of g(3,999) is 3,998.

The successor function  g, is a mathematical operation that takes any integer, n, and returns the next integer in the sequence. This is defined in terms of the formula g(n) = n + 1. This means that when we plug in a number, n, the function returns the number that comes after n in the sequence.  The successor function g from Z to Z is defined by the formula g(n) = n - 1. To find the value of g(−4,000), we plug in -4,000 into the formula. g(−4,000) = −4,000 - 1 = −4,001. To find the value of g(0), we plug in 0 into the formula. g(0) = 0 - 1 = -1. To find the value of g(3,999), we plug in 3,999 into the formula. g(3,999) = 3,999 - 1 = 3,998. Therefore, the value of g(−4,000) is −4,001, the value of g(0) is −1, and the value of g(3,999) is 3,998.

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The measures of angles α and β and the side lengths h, k, and r, found using trigonometric ratios and the Pythagorean Theorem are;
α = 60°, β = 30°, h = √3, k = 3, r = 2·√3

Pythagorean Theorem states that the square of the length of the hypotenuse side is equivalent to the sum of the squares of the lengths of the legs of a right triangle.

The triangle formed by the sides h, k, and r, is a right triangle

The hypotenuse side of the right triangle = r

The legs of the right triangle are h and k

The measure of arctan(√(3)/3) = β...(1)

The tangent of angle β = h/k

Therefore; arctan(h/k) = β...(2)

Comparison the equations (1) and (2), we get;

h/k = (√3)/3

When h = √3, k = 3

Arctan(√3)/3 = 30°

Therefore;

Angle α and angle β are complementary angles, therefore;

α + β = 90° (definition of complementary angles)

α = 90° - β

α = 90° - 30° = 60°

Pythagorean Theorem indicates that we get;

r² = h² + k²

Therefore; r² = (√3)² + 3² = 3 + 9 = 12

r = √(12) = 2·√3

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Depending on the two coefficients, the confidence sets are either rectangles, trapezoids, squares, or ellipses.

When a confidence set contains two coefficients, the coefficients determine the shape of the confidence set. Depending on the two coefficients, the confidence sets are either rectangles, trapezoids, squares, or ellipses. When the coefficients are the same, as in a linear regression, rectangles are created. When the coefficients are different, as they are in a quadratic regression, trapezoids are created. When the coefficients are inversely connected, squares are created. Finally, ellipses are created when the coefficients, as in a cubic regression, are both distinct. The resulting confidence set can therefore take any of the four previously described shapes depending on the coefficients.

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For a randomly chosen deceased person from this population in  a certain population,

Probability can be defined as the rate of the number of favorable issues to the total number of issues of an event. For an trial having 'n' number of issues, the number of favorable issues can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability of car accidents was 1.2% i,e 12/10 → 6/5

Probability of deaths due to sharks are 0.0005% → 1/2000

If a person is a surfer then,

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Answer:

To find the probability of selecting a green or black marble, we need to add the number of green marbles (16) to the number of black marbles (9) and divide by the total number of marbles (7 + 8 + 16 + 9 = 40). So the probability is:

(16 + 9) / 40 = 0.625 or 62.5% in decimal form.

Answer:

Answer: 80

Step-by-step explanation:

Solution:

salary of A: yA = 12.5x+500

suppose salary of B: YB= kx+ b

5455 = 3446

= Sk= It

500=10kth

b=350

YB = 15x + 350

When

X=28

УA = 830

48=770

УА -43 = 80

:)

The required number of rhombi that can be made through two adjacent triangles is 300 rhombi.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
The given figure grid consists of 25 small triangles,
Since to make a rhombus we have to add 2triangles.
So the number of ways rhombi can be formed from 25 triangles
= 25C2
= 25!/2!

= 300 rhombus

Thus, the required number of rhombi that can be made through two adjacent triangles is 300 rhombi.

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Factor the Greatest Common Factors out and then we are left with the expression 3(3c+10d).

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables. Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression.

The terms are the numbers or the variables added together, factors are the numbers or the variables that are multiplied together and the coefficient is the number multiplied to the variable.

The numbers or variables that are multiplied to form a term are called its factors. For example, 5xy is a term with factors 5, x and y. The factors cannot be further factorized.

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To find the volume and surface area of three-dimensional shapes, you can use the following formulas:

Rectangular Prism:

Volume: V = lwh (l = length, w = width, h = height)

Surface Area: A = 2lw + 2lh + 2wh

Right Cylinder:

Volume: V = πr^2h (r = radius, h = height)

Surface Area: A = 2πrh + 2πr^2

Right Pyramid:

Volume: V = (1/3)Bh (B = base area, h = height)

Surface Area: A = B + pl (B = base area, l = slant height)

Given the volume or surface area, you can find the side lengths, radius, or diameter of a three-dimensional figure by solving the formulas for the desired variable.

For example, if you are given the volume of a cylinder and want to find the radius, you can use the formula for the volume of a cylinder and solve for the radius:

V = πr^2h

r^2 = V / (πh)

r = √(V / (πh))

In a similar manner, you can find the side lengths, radius, or diameter of any three-dimensional shape by using the relevant formulas and solving for the desired variable.

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Row 1 and Row 2 were divided by three in the initial row operation. Row 1 was multiplied by 3 in the second row operation, and row 3 was then updated with the result.  The augmented matrix, 13 3 1 20 3 31 303, is the end result.

The provided augmented matrix is 13 3 1 20 6 61 666. Row 1 and Row 2 were divided by three in the initial row operation. This implies that each value in row 2 is subtracted from each element in row 1 by the factor of 3. The augmented matrix 133120331303 is the outcome of this row action. Row 1 was multiplied by 3 in the second row operation, and row 3 was then updated with the result. Thus, each element in row 1 is multiplied by three and the resulting value is added to its corresponding element in row 3, with the result. The augmented matrix 133120331303 is the outcome of this row action. Row 2 was multiplied by 3 in the third row operation, and row 3 was then updated with the result. Accordingly, each element in row 2 is multiplied by three and the resulting value is added to its corresponding element in row 3, with the result. The augmented matrix 133120331303 is the outcome of this row action. The augmented matrix 13 3 1 20 3 31 303 is the outcome of the row operations.

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The two given triangles are not similar. The correct option is D.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Given that there are two triangles one triangle has sides 20 and 24. The second triangle has sides 36 and 42.

If the ratio of the two lines should be equal to the other two lines then the triangle will be similar.

( 20 / 36) = ( 24 / 42 )

4 / 9 = 6 / 7

Hence, the two triangles will not be similar.

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The page where the number 110 appears will be 37.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

An arithmetic sequence 2, 5, 8, 11, 14,... is written in the order in a book. Then the first term is 2 and the common difference is 3. Then the number of terms if the nth term is 110. Then we have

110 = 2 + (n - 1) x 3

108 = (n - 1) x 3

n - 1 = 36

n = 37

The page where the number 110 appears will be 37.

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The domain of the given function f(x) is = [-7,∞)∩(R-{3/4}).

The domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables. The domain is indicated by the fact that the fraction's denominator is not equal to zero and by the fact that the digit under the square root bracket is positive. (For a function that has fractional values.)

The domain of the function. f(x)=√(7 +x)/(-4 +3x)

[tex]f(x)=\frac{\sqrt{(7+x)}}{(-4+3x)}[/tex]

The domain of  [tex]\sqrt{7+x}[/tex]  is [-7,∞)

and the domain of -4+3x  is R-{4/3}

the domain of the given function f(x) is = [-7,∞)∩(R-{3/4})

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The value of [tex]a_{4} = 91[/tex]

We have to find value of [tex]a_{4}[/tex].

A sequence is a collection of elements that are arranged according to a specific pattern.

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

Now,

Given that value of [tex]a_{1} = 4[/tex]

[tex]a_{n} = 4a_{n-1} -1 - 4[/tex]

Then to find value of [tex]a_{4}[/tex], we can find a_{2} , a_{3} as;

[tex]a_{2} = 4(a_{1} ) - 1-4\\a_{2} = 4(3) - 1 - 4 = 11[/tex]

[tex]a_{3} = -4(a_{2} ) - 1\\4(11) - 1 - 4 = 39[/tex]

Hence, the value of [tex]a_{4}[/tex] as;

[tex]a_{4} = 4(a_{3} ) - 1-4\\a_{4} = 4(-39) -1 -4\\a_{4} = 91[/tex]

Therefore, The value of [tex]a_{4}[/tex]= 91.

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According to the information, to make 10 cups of lemonade Ravi needs 10 cups of lemon juice and 40 cups of water.

To find the amount of lemon juice and water that Ravi needs to prepare 10 cups of lemonade we must take into account the following information.

For every cup of Ravi lemonade you should use 1 cup of lemon juice and 4 cups of water.

Therefore, the operation that we must perform is multiplication, in this case we must multiply the number of cups of lemon juice and water that he needs for each lemonade by the number of lemonades that he wants to prepare:

So we can infer that Ravi needs 10 cups of lemon juice and 40 cups of water to make 10 lemonades.

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Points T''(x, y) = (10, - 15), U''(x, y) = (10, 0) and V''(x, y) = (25, - 5) are the images of vertices T(x, y) = (- 1, - 1), U(x, y) = (- 1, 2) and V(x, y) = (2, 1).

In this problem we need to make use of rigid transformations on a triangle, rigid transformations are transformations applied on geometric locus such that Euclidean distance is conserved in every site of the locus. We need to make use of the following two operations:

Translation

P'(x, y) = P(x, y) + T(x, y)

Dilation

P'(x, y) = k · P(x, y)  

Where:

First, write the three vertices of the triangle:

T(x, y) = (- 1, - 1), U(x, y) = (- 1, 2), V(x, y) = (2, 1)

Second, apply translation on every vertex:

T'(x, y) = (- 1, -1) + (3, - 2)

T'(x, y) = (2, - 3)

U'(x, y) = (- 1, 2) + (3, - 2)

U'(x, y) = (2, 0)

V'(x, y) = (2, 1) + (3, - 2)

V'(x, y) = (5, - 1)

Third, apply dilation on every image:

T''(x, y) = 5 · (2, - 3)

T''(x, y) = (10, - 15)

U''(x, y) = 5 · (2, 0)

U''(x, y) = (10, 0)

V''(x, y) = 5 · (5, - 1)

V''(x, y) = (25, - 5)

Vertices T(x, y) = (- 1, - 1), U(x, y) = (- 1, 2) and V(x, y) = (2, 1) have the following images T''(x, y) = (10, - 15), U''(x, y) = (10, 0) and V''(x, y) = (25, - 5), respectively.

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The quantity of possible outcomes is known as probability.All events that could possibly occur.

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In 5 years after depositing 3500, the bank account will have 3850

It is the operation in which we calculate the profit produced by a capital loaned at a given percentage.

The formula for simple interest and procedure we will use to solve this exercise is:

S.I.= (P*R*T)/100

Where:

Information about the problem:

Applying the simple interest formula, we get:

S.I.= (P*R*T)/100

S.I.= (3500*2*5)/100

S.I.= 350

Calculating the total amount that would be in my savings account, we get:

Total amount = P + S.I.

Total amount = 3500 + 350

Total amount = 3850

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As the alternate hypothesis is a two-tailed test the p-value for this hypothesis test is 0.0512.

Here the null hypothesis, H₀, is μ₁ =μ₂

    Alternate hypothesis,  H₁ , is  μ₁ ≠ μ₂

The statistical test is said to be a two-tailed test. So the critical area of of distributions are on both sides of the range.

Here t test-ind method for spicy module is used.

The output is given as (-1.99 , 0.0512)

In such an output the first value is the test statistic value and second value is the p-value.

So the test statistic value = -1.99

p-value = 0.0512.

So the p-value is 0.0512.

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The probability of getting at least two heads among all four tosses, given that at least one head came up among the first two tosses is given as follows:

p = 5/6.

A probability is given by the division of the number of desired outcomes by the number of total outcomes.

Four the toss of four fair coins, the 16 total outcomes are given as follows:

There are 12 outcomes that result in at least one heads during the first two trials.

Among those, 10 outcomes result in at least two heads, hence the probability is defined as follows:

p = 10/12

p = 5/6.

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The value of QS is 56 ft if Point Q is the midpoint of PS. And PQ = 56 ft

What is mid point  ?

A midpoint is a factor mendacity among points and is within the middle of the line joining the 2 factors. If a line is drawn becoming a member of the two points, then the midpoint is a factor on the middle of the line and is equidistant from the two factors.

Given any factors, say A and C, the midpoint is a factor B that is located halfway among points A and C. therefore, to calculate the midpoint, we are able to truly degree the duration of the line section and divide through 2.

Given ,

Point Q is the midpoint of PS.

And PQ = 56 ft; so we have to find the value of QS.

Midpoint means that Q is between the points of P and S. Meaning the line QP and QS would be equal.

So the answer would be 56 ft,

Hence, The value of QS is 56 ft if Point Q is the midpoint of PS. And

PQ = 56 ft

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Answer:

To find the equation of a line that passes through two given points, we can use the point-slope form of a line.

The first step is to find the slope of the line. We can do this by using the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the values for the two given points:

m = (3 - (-2)) / (6 - 4) = 5 / 2

Next, we can use the point-slope form of a line to find the equation of the line:

y - y1 = m (x - x1)

Plugging in the values we have:

y - (-2) = 5/2 (x - 4)

Expanding the right side:

y + 2 = 5/2 x - 4

Multiplying both sides by 2:

2y + 4 = 5x - 8

Adding 8 to both sides:

2y + 12 = 5x

Dividing both sides by 2:

y + 6 = 2.5x

So the equation of the line that passes through the points (4, -2) and (6, 3) is y + 6 = 2.5x.

Answer:

D. Use the equivalent ratio in lowest terms to plot the numerator on the x-axis and the denominator on the y-axis, then connect the two points.