What is the equation of the line that passes through the point (-4,-8) and has a slope of 5/2? ​

Answer:

hope this helps

Step-by-step explanation:

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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The solutions of the given equation are 2 or -2

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x²+2 = 6

x²+2 = 6

Solving we get,

x²+2 = 6

x² = 6-2

x² = 4

x = ±2

Hence, there are two solutions of the equation 2 or -2

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Answer:

Step-by-step explanation: The answer is 6 friends. Assuming that the group is going in one car. Leaving them with 100.5 to spend on admission.You can add the admission fee 6 times until they have nothing left

Answer:

The annswer is 6

Step-by-step explanation:

Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Answer:

$500 a week

Step-by-step explanation:

Hope I can help.

Kiaya can make a $25 withdrawal for 11 weeks without incurring a fee.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

Kiaya needs to have at least $100 in her checking account to avoid a fee from the bank. She has $376 in her account now, so she can make $376 - $100 = $276 worth of withdrawals before she will be charged a fee.

Each week, she makes a $25 withdrawal.

To determine the number of weeks she can make this withdrawal before being charged a fee, we divide the total amount she can withdraw ($276) by the amount she withdraws each week ($25).

So, Kiaya can make $276 / $25 = 11 withdrawals before she will be charged a fee.

Therefore, she can make a $25 withdrawal for 11 weeks without incurring a fee.

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Answer:

Step-by-step explanation:

are the what???

Answer:

Step-by-step explanation:

Given:

To solve for g divide both sides by n:

Solve for the value of g.

Given that,

→ q = ng

Let's solve for the value of g,

→ q = ng (change the sides)

→ ng = q

→ [g = q/n]

Hence, q/n is the value.

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

π112 or 3.14(112)

Step-by-step explanation:

Answer:

351.86

Step-by-step explanation:

Answer:

Likely

Step-by-step explanation:

It is not guaranteed, but it is not impossible. There is a higher chance of it happening compared to it not happening, so it it likely.

Answer:

y= 3/4x+5

Step-by-step explanation:

Answer:

The equation would be y=3/4x+5

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Answer:

If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.

Step-by-step explanation:

In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.

We are given the sides of a triangle whose ratio is 3:4:5.

Considering the sides to be 3x,4x,5x.

Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.

We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.

So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.

Squaring the base side 4x, we get:

(4x)2=16x2 …….(1)

Similarly, squaring the height side 3x, we get:

(3x)2=9x2 …….(2)

Squaring the hypotenuse side 5x, and we get:

(5x)2=25x2 …….(3)

Taking the sum of (1) and (2):

16x2+9x2=25x2, which is equal to the equation (3).

That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.

Answer:

it is a right triangle

Step-by-step explanation:

If the triangle is a right triangle, it will meet the Pythagorean theorem

a^2 + b^2 = c^2

3^2+4^2 = 5^2

9+16=25

25=25

This is true so it is a right triangle

The equivalent annual cost (EAC) of Model A is $2,332.60, while the EAC of Model B is $2,094.81. The EAC represents the annual cost of owning and operating the motorcycle over its expected life, taking into account the initial cost, annual maintenance costs, and the opportunity cost of capital.

To calculate the EAC, we use the formula:

EAC = (C + (M × A)) × D

Where:

C = Initial cost

M = Annual maintenance cost

A = Annuity factor

D = Discount factor

For Model A, the initial cost is $8,600 and the annual maintenance cost is $840. The expected life of the motorcycle is 6 years, so the annuity factor is calculated as follows: A = (1 - (1 + r)^(-n)) / r, where r is the discount rate (10% or 0.10) and n is the number of years (6). The annuity factor for Model A is 4.1119. The discount factor is calculated as (1 + r)^(-n), which is 0.5645. Plugging these values into the formula, we get EAC = ($8,600 + ($840 × 4.1119)) × 0.5645 = $2,332.60.

For Model B, the initial cost is $15,100 and the annual maintenance cost is $690. The expected life of the motorcycle is 10 years, so the annuity factor is calculated as A = (1 - (1 + r)^(-n)) / r, where r is 0.10 and n is 10. The annuity factor for Model B is 7.6068. The discount factor is calculated as (1 + r)^(-n), which is 0.3855. Plugging these values into the formula, we get EAC = ($15,100 + ($690 × 7.6068)) × 0.3855 = $2,094.81.

Therefore, the equivalent annual cost for Model A is $2,332.60 and for Model B is $2,094.81. Based on these calculations, Model B has a lower EAC and would be the more cost-effective choice for the family pizza parlor in terms of annual costs.

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Given:

Jennifer writes the letters M-O-N-T-A-N-A on cards.

To find:

The probability of picking an N.

Solution:

We have,

Total number of cards = 7

Total number of cards with letter N = 2

Now, the probability of picking an N is:

\(\text{Probability}=\dfrac{\text{Number of cards with letter N}}{\text{Total number of cards}}\)

\(\text{Probability}=\dfrac{2}{7}\)

Therefore, the probability of picking an N is \(\dfrac{2}{7}\).

4. The box plot that represents the data is: D. box plot D.

5. The range for the data set is 30.

The interquartile range (IQR) for the data set is 28.

Based on the information provided about the number of dogs, we would use a graphical method (box plot) to determine the five-number summary for the given data set as follows:

Question 5:

In Mathematics, the range of a data set can be calculated as follows;

Range = Highest number - Lowest number

Range = 80 - 50

Range = 30.

Mathematically, interquartile range (IQR) of a data set is typically calculated as the difference between the first quartile (Q₁) and third quartile (Q₃):

Interquartile range (IQR) of data set = Q₃ - Q₁

Interquartile range (IQR) of data set = 67.5 - 39.5

Interquartile range (IQR) of data set = 28.

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Answer: i am not sure either, let me know when you find out.

Step-by-step explanation: lol:)

15: The given equation is x^2y^3 + x(1+y^2)y' = 0. To check if the equation is exact, we need to find the partial derivatives of M = x^2y^3 and N = x(1+y^2) with respect to x and y, respectively. If the partial derivatives are equal, then the equation is exact. The partial derivative of M with respect to x is 2xy^3, and the partial derivative of N with respect to y is 2xy. Since these two partial derivatives are not equal, the equation is not exact. However, if we multiply the equation by the integrating factor x(x,y) = 1/(xy^3), we get (x^2y^3)/(xy^3) + (x(1+y^2)y')/(xy^3) = 0, which simplifies to x + (1+y^2)y'/y^3 = 0. Now, the partial derivative of M with respect to x is 1, and the partial derivative of N with respect to y is 1, so the equation is exact. To solve the equation, we can integrate both sides with respect to x to get xy + (1+y^2)/y^2 = C, where C is the constant of integration. Solving for y gives us y^3 - Cy^2 - x = 0, which is the solution to the equation.

Problem 16: The given equation is (x+2)sin y + (x cos y)y' = 0. To check if the equation is exact, we need to find the partial derivatives of M = (x+2)sin y and N = x cos y with respect to x and y, respectively. If the partial derivatives are equal, then the equation is exact. The partial derivative of M with respect to x is sin y, and the partial derivative of N with respect to y is -x sin y. Since these two partial derivatives are not equal, the equation is not exact. However, if we multiply the equation by the integrating factor x(x,y) = xex, we get (x+2)xex sin y + x^2ex cos y y' = 0. Now, the partial derivative of M with respect to x is xex sin y + 2xex sin y, and the partial derivative of N with respect to y is x^2ex cos y - x^2ex sin y, so the equation is exact. To solve the equation, we can integrate both sides with respect to x to get x^2ex sin y + 2xex sin y = C, where C is the constant of integration. Solving for y gives us y = arcsin((C - x^2ex - 2xex)/x^2ex), which is the solution to the equation.

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Answer: 5b-40

Step-by-step explanation:

You have to distribute the 5 into both of the variables in the parenthesis

Hope this helps!

Answer:

Chicken wings and tender and nuggets YUMMMMM

Step-by-step explanation:

Good evening,

Answer:

z=32°

Step-by-step explanation:

54°+94°+z=180° (sum of angle of triangle)

z=180-148

z=32°

The exact area of the surface obtained by rotating the curve x = a(cos^3)(θ), y = a(sin^3)(θ) about the x-axis can be found using the formula for the surface area of a curve rotated about the x-axis. The surface area formula is given by:

A = ∫[a, b] 2πy√(1 + (dy/dx)^2) dx

In this case, the curve is defined by the parametric equations x = a(cos^3)(θ) and y = a(sin^3)(θ), where 0 ≤ θ ≤ π/2. To find the surface area, we need to compute the derivative dy/dx and substitute it into the surface area formula.

Taking the derivative of y with respect to x, we have:

dy/dx = (dy/dθ)/(dx/dθ) = (3a(sin^2)(θ)cos(θ))/(3a(cos^2)(θ)(-sin(θ))) = -tan(θ)

Substituting dy/dx and the given values into the surface area formula, we obtain:

A = ∫[0, π/2] 2π[a(sin^3)(θ)]√(1 + (-tan(θ))^2) dx

Simplifying the expression inside the square root and integrating with respect to θ over the given range, we can find the exact area of the surface. However, the process involves complex calculations and cannot be summarized in 100 words.

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The standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16

Given, the chance that a certain type of thumbtack lands point up when you toss it in the air is 80%.

we have to find the standard deviation of the proportion of the given data that it lands point up out of 100 tosses.

Number of trials be, 100

probability of success be, 80/100 = 0.8

On using the formula of Standard deviation, we get

standard deviation = n×p×(1 - p)

standard deviation = 100×0.8×(1 - 0.8)

standard deviation = 100×0.8×0.2

standard deviation = 16

So, the standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16

Hence, the standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16

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The attached image shows the triangle with coordinates A(1,4), B(1,7) and C(3,5) and reflected over the line y = 2x + 1.

Reflection refers to the transformation of a geometric shape by flipping it across a line called the line of reflection.

When a shape undergoes reflection, every point on the shape is mapped to a corresponding point on the opposite side of the line of reflection, maintaining the same distance from the line.

For example, if you have a triangle and reflect it across a line of reflection, the resulting image will be a triangle with the same size and angles, but it will be facing in the opposite direction.

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Answer:

Options (B), (C) and (F) are correct.

Step-by-step explanation:

Properties of a rhombus,

1). All sides of a rhombus are equal in measure.

2). Both the diagonals of a rhombus are the perpendicular.

3). Diagonals bisect the vertex angles.

By these properties of a rhombus,

Option (B): PR is perpendicular to QS.

Option (C): ∠QPR ≅ ∠SPR

Option (F): PQ ≅ QR

Therefore, options (B), (C) and (F) are correct.

Answer:

B, C, F, and E are all correct.

Step-by-step explanation:

Answer:

its flipped over the y axis and then it goes 6 to the right and 6 up. To find how they are congruent, just use Pythagorean theorem to find the side lengths for each side and say that by using the rule SSS or side side side you know that the triangles are the same.

Step-by-step explanation:

to find the side length with Pythagorean theorem for example for side DE, side DE is basically the hypotenuse of the triangle to just count the height and base using the graph and in this case it would be  h=6 b=3 and then use the Pythagorean theorem to find the actual side length of the line, which would be √45.

Given:

The length of the diagonal of a rectangle is 20 inches.

The angles formed by the diagonal are 60° and 30°.

The objective is to find the perimeter of the rectangle.

The rectangle can be represented as,

In general, the angle formed by two larger sides will be smaller and the angle formed by two smaller sides will be larger.

Consider the right triangle ABC. AC represents the hypotenuse side, AB represents the adjacent side and BC represents the opposite side of the triangle.

Now, the side BC can be calculated using trigonometric ratio of sinθ.

Now, the side AC can be calculated using trigonometric ratio of cosθ.

In a triangle the opposite sides are always equal.

The perimeter of the rectangle is,

Hence, the perimeter of the rectangle is 54.64 inches.

Answer:

3

Step-by-step explanation:the diameter is twice as long as the radius, therefore you need to half the diameter for the radius

Answer:

3

Step-by-step explanation:

\(r=\frac{d}{2}\), where r is the radius and d is the diameter. Since the diameter is 6, \(\frac{6}{2} =3\), which means the radius is 3.

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Answer:

1,214,610.00

Step-by-step explanation:

hope ot os riight

Answer:

$ 11,582,850.00