Find all solutions to the following system of Diophantine equations 2x + 15y = 7 3x + 20z = 8.

Answer:

I think answer number 1 and number 4

Step-by-step explanation:

to find the perimeter you add all the sides together, there are 4 sides in the square so it will be 2+2+2+2 which will give you 8 and you can also multiply 2 by the 4 sides which will also give you 8

Answer:

First and last answer choices

Step-by-step explanation:

to find perimeter u have to add all the sides of the shape in this case its state that the lengths of the square are 2in if we add everything up our answer is 8, so the answer choices with the answer 8 should be the right answers

To find the equation of a parabola, given the coordinate of the focus (F) and the equation of the directrix (d), you can use the definition of a parabola: The set of all points that are equidistant to the focus and the directrix.

By using the distance formula, the equation of the parabola can be derived by substituting the coordinates of the focus and the directrix into the equation, and solving for the vertex and axis of symmetry of the parabola.

You can continue solving for the vertex and axis of symmetry by using the fact that the axis of symmetry is the midpoint of the focus and the vertex, and that the distance between the focus and the vertex is equal to the distance between the vertex and the directrix. Once the vertex and axis of symmetry have been found, the equation of the parabola can be written in the standard form, y = ax^2 + bx + c, where a, b, and c are constants that can be determined from the vertex and axis of symmetry.

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Tom will pay a total of $13,424.20 in interest over the term of the loan.

The formula to calculate the monthly payment for an amortized loan is given by:  `P = r(PV) / [1 - (1 + r)^(-n)]`Where P is the monthly payment, r is the interest rate per month, PV is the present value of the loan, and n is the number of payments or the total number of months.

Substituting the given values, we get:P = 0.0052083333 × 44,000 / [1 - (1 + 0.0052083333)^(-7×12)]P = 632.32Therefore, Tom's monthly payment is $632.32 (rounded to the nearest cent).b. Since Tom pays the monthly payment each month for the full term, his total amount to repay the loan is equal to the present value of the loan.

Therefore, the total amount to repay the loan is $44,000 (rounded to the nearest cent).c. The total amount of interest paid over the term of the loan can be calculated as the difference between the total amount repaid and the principal amount of the loan.

Therefore, the total interest paid is: Total interest paid = Total amount repaid - Principal amount of the loan Total interest paid = $57,424.20 - $44,000Total interest paid = $13,424.20

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Answer

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

u cannot cross multiply when ur adding

Answer: \(\frac{5}{9}\ m\)

Step-by-step explanation:

Given

Area of the rectangular piece of paper is \(A=\frac{1}{3}\ m^2\)

Length of the paper is \(l=\frac{3}{5}\ m\)

Suppose width of the paper is \(w\)

Area is the multiplication of length and width

\(\therefore A=lw\\\\\Rightarrow \dfrac{1}{3}=\dfrac{3}{5}\times w\\\\\Rightarrow w=\dfrac{5}{9}\ m\)

Thus, the width of the paper is \(\frac{5}{9}\ m\)

The encryption is vulnerable as each residue modulo 26 corresponds to a single plaintext character. Eve can decrypt by trying all possible values and comparing them with the ciphertext.

The encryption used in this case is susceptible to a straightforward attack. Since each residue modulo 26 is encrypted as a separate character, there are only 26 possible values.

Eve can try all values from 0 to 25, encrypt them using the given RSA parameters (modulus n = 18721 and exponent e = 25), and compare the results with the ciphertext. When an encrypted residue matches the corresponding ciphertext, Eve has successfully decrypted that residue.

By repeating this process for each residue, Eve can decipher the entire message without needing to factorize the modulus. In the provided ciphertext (365, 0, 4845, 14930, 2608, 2608, 0), applying this attack reveals the plaintext as "HELLOAA".

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The answer is b=18. To solve, multiply 6 by 3 to get 18. This is called doing the inverse operation. Since the equation is a division equation, we would have to multiply in order to find the missing variable.

Answer:

The initial value of the boat was $20,000

The percent decrease per year of the value of the boat is 10%.

The interval on which the value of the boat is decreasing while Harry has it is (0,10)

Step-by-step explanation:

It is given that the boat costs $20,000 in 2010 when x = 0. So, the initial value of the boat was $20,000.

Next, find the percent decrease per year of the value of the boat. Consider the general form of an exponential equation, y = a(b)x, where a is the initial value of the boat, b is the base of the exponent, x is the number of years after 2010, and y is the value of the boat, in dollars.

Consider the point (1 , 18,000) which lies on the graph of this situation. Substitute x = 1, y = 18,000, and a = 20,000 into the exponential equation and isolate b.

Recall that for exponential decay, b = 1 - r where r represents the decay rate. Substitute b = 0.9 into this equation and solve for r.

So, the decay rate is 0.1, and the percent decrease per year of the value of the boat is 10%.

Harry bought the boat in 2010, and plans on selling it after 10 years in 2020. Therefore, the interval on which the value of the boat is decreasing while Harry has it is [0, 10].

To test whether the production volume is significantly related to the total cost using the estimated regression equation, we need to perform an analysis of variance (ANOVA).

The ANOVA table will provide us with the necessary information to determine the significance of the relationship. The ANOVA table consists of several components: the sum of squares (SS), the degrees of freedom (df), the mean squares (MS), the F-test statistic, and the p-value.  The total sum of squares (SST) is also computed by summing the squares of the differences between the observed values and the mean of the dependent variable.  dfR is equal to the number of independent variables (excluding the intercept term), while dfE is calculated as the total number of observations minus the number of independent variables.

The mean squares for the regression (MSR) and the error (MSE) are then calculated by dividing the respective sum of squares by their corresponding degrees of freedom. To obtain the F-test statistic, we divide MSR by MSE. The p-value is determined by comparing the F-test statistic to the critical value corresponding to the chosen significance level.  we can determine whether the production volume has a significant relationship with the total cost. If the p-value is below the chosen significance level, typically 0.05, we reject the null hypothesis and conclude that there is a significant relationship between the variables.

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Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

Answer: 1 3/8

Step-by-step explanation:

6 - 4 5/8 = 1 3/8

Since you are missing a part to the sum, you use subtraction to find the missing part.

Given that the triangular plate is fixed at its base, and its apex a is given a horizontal displacement of 5 mm. suppose that a = 600 mm.In order to find the deflection, consider the right triangle OAB where O is the origin,

A (0,600) and B (x,y).So,OB² = OA² + AB²= 600² + x²Since the length of the side opposite to angle B is given as 600 - y, we can use Pythagoras' theorem to express y in terms of x and hence find the equation of the line AB, i.e. y = f(x).Thus, OB² = OA² + AB²x² + (600 - y)² = 600² + x²y = 600 - √(600² - x²)From the geometry of the figure, it can be seen that the deflection at point A is equal to the displacement of B in the x direction, i.e.5 mm. Therefore, the deflection at point A is 5 mm.Long Answer:The problem is about finding the deflection at a point of a triangular plate that is fixed at its base and has an apex that is given a horizontal displacement of 5 mm. It is also given that a = 600 mm. In order to solve the problem,

we need to consider the geometry of the situation and use some elementary trigonometry.The figure below shows the triangular plate with the origin at the left end of the base and the y-axis perpendicular to the base at the origin. The apex of the triangle is at point A with coordinates (0,600).Let B (x,y) be a point on the plate such that OB is perpendicular to the base. Then, OB = x and AB = y. From the geometry of the figure, we can write the following equation:OB² = OA² + AB²where OB² = x², OA = 600, and AB² = (600 - y)²Therefore, we havex² = 600² + (600 - y)²Simplifying the equation, we getx² = 720000 - 1200y + y² + x²600y = 720000 - y²y² + 600y - 720000 = 0Solving for y, we gety = -300 + √(90000 + 360000 - 4×720000)/2y = 600 - √(600² - x²)Since the deflection at point A is equal to the displacement of B in the x direction, the deflection at A is given by 5 mm.Answer: The deflection at point A is 5 mm.

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Answer:  Approximately 1.0714 gallons

===========================================

Work Shown:

x = amount of pure water

3 gallons of 95% alcohol means you have 3*0.95 = 2.85 gallons of pure alcohol.

If we add on x gallons of pure water, we'll have 3+x gallons of solution

So we'll have 2.85/(3+x) representing the ratio of the amount of pure alcohol to total solution. Set this equal to 0.70 and solve for x

2.85/(3+x) = 0.70

2.85 = 0.70(3+x)

2.85 = 0.70(3)+0.70(x)

2.85 = 2.10+0.70x

2.85-2.10 = 0.70x

0.75 = 0.70x

0.70x = 0.75

x = 0.75/0.70

x = 1.07142857142858 which is approximate

x = 1.0714

So if you add about 1.0714 gallons of pure water, you'll go from 95% alcohol to 70% alcohol.

Answer:

m∠3 = 112°     m∠5 = 38°     m∠6 = 68°    m∠8 = 74°

You do the others

Step-by-step explanation:

Facts you need to solve this problem.

1.  Vertical angles are congruent

2.  Alternate interior angles are congruent when lines are parallel

3.  Sum of the measures of the angles of a triangle is 180

4.  Adjacent angles are supplementary when two lines intersect

m∠3 = 112°   (Reason 1 above)

m∠6 = 180 - 112 = 68°   (Reason 4)

m∠6 + m∠5 + 74 = 180°  (Reason 3)

68 + m∠5 + 74 = 180

142 + m∠5 = 180

m∠5 = 38°

m∠8 = 74°  (Reason 2)

That gives you a start, so I will let you find all the others.  OK?  I know you don't want to do that, but you need to be able to do this type of problem.  Now, go for it!!

The method that solves initial values problem by using sloped at two points is Heuns method.

Therefore the answer is B. Heuns method.

The Heun's method, also known as the improved Euler method, is a numerical method used to solve initial value problems for ordinary differential equations. It is a second-order method, which means that it uses the slope at two points (the starting point and one other point) to estimate the solution at a future point.

Heun's method is an explicit method which is an extension of the Euler method, by using the slope at the midpoint between the current and the next steps to improve the accuracy of the solution.

Euler method is a first-order method which estimates the solution at a future point by using the slope at one point only.

RK method is a family of methods that ranges from first-order to fourth-order method, but it uses a combination of the slopes at different points to estimate the solution.

Picard's method is a method of solving differential equations that is based on the idea of repeatedly applying a function to an initial value until a fixed point is reached. It's a method that does not use slopes.

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1) In this question, to solve it algebraically, we need to plug it in and verify each one.

2) So, let's do it by plugging it into that already:

Note that the only one that does not verify,i.e. it's a false one is the answer.

2) Thus, the answer is:

Answer:

Surrounding area of pyramid = area of a side face multiplied by 4

Step-by-step explanation:

The area of a side face is the area of the triangle:

\(\frac{1}{2} *6*4\) = 12

So the perimeter of the pyramid is:

12×4=48

Explanation: because the side faces have the same area.

The missing value in the triangle is 120 degrees

To find the missing angle, we can use the property of a triangle that the sum of the interior angles is 180 degrees.

Let's call the missing angle "c". Then, we have:

a + b + c = 180 degrees

Given that b = 50 degrees and a = 10 degrees

we can substitute these values into the equation:

10 + 50 + c = 180

Solving for c:

c = 180 - 10 - 50 = 120 degrees

Hence, the missing angle in the triangle is 120 degrees

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Answer:

the original price times the % discount will give u the scale price

a. the mean is 200.31 cm. b. The height of the new player is 210 cm.

The mean, commonly referred to as the average, is a statistic that depicts the usual value of a group of data and measures central tendency. It is calculated by adding up all of the data set's values and dividing the result by the total number of values. Since it offers a single value that summarises the complete set of data, the mean is an effective statistical tool. It may, however, be vulnerable to outliers or extremely high or low values that affect the mean's value. As a result, while examining data, it is crucial to take additional measures of central tendency into account, such as the median or mode.

The mean or average is given as:

mean = (sum of all heights) / (number of players)

The total number of players are:

1 + 3 + 2 + 5 + 2 = 13

Sum of heights is:

(198 x 1) + (199 x 3) + (200 x 2) + (201 x 5) + (202 x 2) = 198 + 597 + 400 + 1005 + 404 = 2604

Thus,

mean = 2604 / 13 = 200.31 cm

b. For the new player the number of players are 14:

201 = (2604 + height of new player) / 14

201 x 14 = 2604 + height of new player

2814 = 2604 + height of new player

height of new player = 2814 - 2604 = 210 cm

Hence, a. the mean is 200.31 cm. b. The height of the new player is 210 cm.

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Answer:

I got 278 5/8

Step-by-step explanation:

the question stated square inches which I referred

to as area. You multiply both rectangles than add them together. I may be wrong but I hope this gives you a lead! :)

The total square inches of construction paper does Matthew need for his project is,

⇒ 278.63 inches²

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Matthew is cutting construction paper into rectangles for a project.

And, He needs to cut one rectangle that is 12 inches x 14 1/4 inches.

He needs to cut another rectangle that is 10 1/2 inches by 10 1/4.

Hence, We get;

Area of first rectangle = 12 x 14 1/4

                                  = 12 x 57 / 4

                                  = 171 inhces²

And, Area of second rectangle = 10 1/2 x 10 1/4

                                                = 21/2 x 41/4

                                                = 107.63 inches²

Hence, The total square inches of construction paper does Matthew need for his project is,

⇒ 171 + 107.63 inches²

⇒ 278.63 inches²

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Answer: x=9

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

$178 x .05 = $8.90 discount nearest hundredth

$178 - $8.90 = $169.10 sale price nearest hundredth

Answer:

x = 6

Step-by-step explanation:

6x-9=51-4x

10x - 9 = 51

10x = 60

x = 6

Let's check

6(6) -9 = 51 -4(6)

36 - 9 = 51 - 24

27 = 27

So, x = 6 is the correct answer.

Answer:

the answer would be -110(c⁴d²e³)

Hope this helps!

The rate of the plane in still air is 550 mph, and the rate of the wind is 50 mph.

Let's denote the rate of the plane in still air as "p" and the rate of the wind as "w".

When the plane flies into the wind, its effective speed is reduced by the speed of the wind.

So, the speed of the plane relative to the ground is:

p - w

Similarly, when the plane flies with the wind, its effective speed is increased by the speed of the wind, so its speed relative to the ground is:

p + w

We know that the distance traveled by the plane is 3000 miles in both cases, so we can set up two equations based on the formula:

distance = rate x time

When the plane flies into the wind:

3000 = (p - w) x 6

And when the plane flies with the wind:

3000 = (p + w) x 5

Now we have two equations with two unknowns, which we can solve for "p" and "w".

Let's start by simplifying both equations:

Equation 1: 3000 = 6p - 6w

Equation 2: 3000 = 5p + 5w

We can then solve for one of the variables in terms of the other. For example, we can solve for "p" in terms of "w" by rearranging Equation 2:

5p = 3000 - 5w

p = (3000 - 5w) / 5

We can then substitute this expression for "p" into Equation 1 and solve for "w":

3000 = 6[(3000 - 5w) / 5] - 6w

Multiplying both sides by 5:

15000 = 6(3000 - 5w) - 30w

Distributing the 6:

15000 = 18000 - 30w - 30w

Combining like terms:

15000 = 18000 - 60w

Subtracting 18000 from both sides:

-3000 = -60w

Dividing both sides by -60:

w = 50

Now that we know the rate of the wind is 50 mph, we can substitute this value into either Equation 1 or Equation 2 to solve for "p".

Let's use Equation 2:

3000 = 5p + 5(50)

3000 = 5p + 250

2750 = 5p

p = 550.

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Answer:

The vertex is

✔ (2, 8)

The directrix is y =

✔ 8.125

The focus is

✔ (2, 7.875)

The focal width is

✔ 0.5

Step-by-step explanation:

got it correct on the assignment on edge 2020

Answer:

(2, 8)

8.125

(2, 7.875)

0.5

Step-by-step explanation:

correct on edge