Last month we had only five sunny days. If there were 30 days last month, the ratio of sunny days to the total number of days is ____.

Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!

Answer:

4,000 is the integer representing the final balance of the bank account

Step-by-step explanation:

Here, we are told that Shiavni had a total of $9,000 in her bank account at the start of the week of which she spent $5,000 out of it on an antique clock.

Now, we want to know the integer that represents the amount which is the final balance of the bank account.

Mathematically, when we talk of an integer, we are simply referring to a whole number, be it negative or positive.

Thus, the integer is the case is the difference in what she had at the beginning of the week minus the cost of the clock

That would be; $9,000 -$5000 = $4,000

Answer:

$0.50

Step-by-step explanation:

We know

A package of 8 hot dogs is on sale for $4

What is the price per hot dog?

4 / 8 = $0.50

So, the price per hot dog is $0.50

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

\(4(a + 3) = - 32 \\ 4a + 12 = - 32 \\ 4a = - 32 - 12 \\ 4a = - 44 \\ a = - 11\)

Hope it helps

Please give brainliest

Step-by-step explanation:

4(a+3)=-32

4(a+3)/4=-32/4

(a+3)=-8

a+3-3=-8-3

a=-11

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

The simple interest earned on investing $880 at 5.25% for 2 years is $92.4

Simple interest is calculated using the formula;

SI = P × R × T

Where,

So,

SI = P × R × T

= 880 × 0.0525 × 2

= $92.4

Consequently, $92.4 is the simple interest earned on $880 at 5.25% for 2 years

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The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{y = 10}}}}}\)

Step-by-step explanation:

\( \sf{8(7 - y) = - 24}\)

Distribute 8 through the parentheses

\( \longrightarrow{ \sf{8 \times 7 - 8 \times y = - 24}}\)

\( \longrightarrow{ \sf{56 - 8y = - 24}}\)

Move 56 to right hand side and change it's sign

\( \longrightarrow{ \sf{ - 8y = - 24 - 56}}\)

The negative integers are always added but posses the negative ( - ) sign

\( \longrightarrow{ \sf{ - 8y = - 80}}\)

Divide both sides by -8

\( \longrightarrow{ \sf{ \frac{ - 8y}{ - 8} = \frac{ - 80}{ - 8} }}\)

Calculate

\( \longrightarrow{ \sf{y = 10}}\)

Hope I helped!

Best regards! :D

Yes, they do form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle.

Yes, the side lengths 4 8 and 10 can form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle. A triangle is defined as a polygon with three sides and three angles, and is one of the basic shapes in geometry. It is also one of the most studied shapes in mathematics due to its wide range of applications. The three angles of a triangle must add up to 180 degrees, and the three sides must satisfy the triangle inequality, meaning that the sum of any two sides must be greater than the third side. Additionally, the interior angles of a triangle are always equal to the sum of two exterior angles. Knowing this, it can be seen that the side lengths 4 8 and 10 can form a triangle, as the sum of any two sides is greater than the third side.

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The quotients of the long division expressions are 6x^2 + 2x - 6, 7x^3 - 4x^2 + 6x + 10 and 7x^3 + x^2 - 5x - 8

Polynomial set up 2

The long division expression is represented as

x + 5 | 6x^3 + 32x^2 + 4x - 21

So, we have the following division process

           6x^2 + 2x - 6

x + 5 | 6x^3 + 32x^2 + 4x - 21

           6x^3 + 30x^2

           --------------------------------

                      2x^2 + 4x - 21

                       2x^2 + 10x

           -------------------------------------

                       -6x - 21                      

                       -6x - 30

------------------------------------------

                                   9

Polynomial set up 3

The long division expression is represented as

2x - 3 | 14x^4 - 29x^3 + 24x^2 + 2x - 29

So, we have the following division process

            7x^3 - 4x^2 + 6x + 10

2x - 3 | 14x^4 - 29x^3 + 24x^2 + 2x - 29

            14x^4 - 21x^3

           --------------------------------

                       -8x^3 + 24x^2 + 2x - 29

                       -8x^3 + 12x^2                        

           -------------------------------------

                        12x^2 + 2x - 29

                        12x^2 - 18x

     ------------------------------------------

                                  20x - 29

                                  20x - 30

     ------------------------------------------

                                               1

Polynomial set up 5

The long division expression is represented as

2x - 1 | 14x^4 - 5x^3 - 11x^2 - 11x + 8

So, we have the following division process

            7x^3 + x^2 - 5x - 8

2x - 1 | 14x^4 - 5x^3 - 11x^2 - 11x + 8

            14x^4 - 7x^3

           --------------------------------

                       2x^3 - 11x^2 - 11x + 8

                       2x^3 - x^2                        

           -------------------------------------

                        -10x^2  - 11x + 8

                        -10x^2 + 5x

     ------------------------------------------

                                  -16x + 8

                                  -16x + 8

     ------------------------------------------

                                               0

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The matrix C = [7 4 5 3] does not have an inverse. A matrix has an inverse if and only if its determinant is non-zero. The determinant of the matrix C is 0, so the matrix does not have an inverse.

The determinant of the matrix C is calculated as follows:

det(C) = (7)(3) - (4)(5) = -1

Since the determinant is 0, the matrix C does not have an inverse.

A matrix without an inverse is called a singular matrix. Singular matrices can be used to represent certain relationships, such as one-to-one relationships, but they cannot be used to solve systems of equations.

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Answer:

1. 3 3/4 in

2. 4 1/4

Step-by-step explanation:

look at graph

Answer:

\(y = \tan(x + \frac{x^2}{2})\)

Step-by-step explanation:

Poorly formatted question; The complete question requires that we prove that \(y=\tan(x+\frac{x\²}{2})\)

When

\(\frac{dy}{dx} =1+xy\²+x+y\²\) and \(y(0)=0\)  

We have:

\(\frac{dy}{dx} =1+xy\²+x+y\²\)

Rewrite as:

\(\frac{dy}{dx} =1+x+xy\²+y\²\)

Factorize

\(\frac{dy}{dx} = (1+x)+y\²(x+1)\)

Rewrite as:

\(\frac{dy}{dx} = (1+x)+y\²(1+x)\)

Factor out 1 + x

\(\frac{dy}{dx} = (1+y\²)(1+x)\)

Multiply both sides by \(\frac{dx}{1 + y^2}\)

\(\frac{dy}{1+y\²} = (1+x)dx\)

Integrate both sides

\(\int \frac{dy}{1+y\²} = \int (1+x)dx\)

Rewrite as:

\(\int \frac{1}{1+y\²} dy = \int (1+x)dx\)

Integrate the left-hand side

\(\int \frac{1}{1+y\²} dy = \tan^{-1}y\)

Integrate the right-hand side

\(\tan^{-1}y = x + \frac{x^2}{2} + c\)

\(y(0)=0\) implies that: \((x,y) = (0,0)\)

So:

\(\tan^{-1}y = x + \frac{x^2}{2} + c\) becomes

\(\tan^{-1}(0) = 0 + \frac{0^2}{2} + c\)

This gives:

\(0 = 0 +0 + c\)

\(0 =c\)

\(c = 0\)

The equation \(\tan^{-1}y = x + \frac{x^2}{2} + c\) becomes

\(\tan^{-1}y = x + \frac{x^2}{2} + 0\)

\(\tan^{-1}y = x + \frac{x^2}{2}\)

Take tan of both sides

\(y = \tan(x + \frac{x^2}{2})\) --- Proved

The exponential distribution is a probability distribution that models the time between events in a Poisson process, where events occur randomly and independently at a constant average rate.

It is commonly used in reliability theory, queuing theory, and other fields to model the failure or waiting times of systems.

(a) The mean time to decay for Cobalt-60 is 5.27 years.

(b) The standard deviation of the decay time is 2.6355 years.

(c) The 99th percentile is 13.6825 years.

(d) The mean time of the experiment is 15.8175 years and the standard deviation is 4.86788 years.

Note: The answers are calculated based on the exponential distribution of radioactive decay with a half-life of 5.27 years for Cobalt-60.

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Answer:

d=6

Step-by-step explanation:

circumference= 2pi r

6pi=2pi d/2

6pi/2pi=d/2

3*2=d

d=6

Answer:

20\(\sqrt{5}\)  or  44.72136 (either works)

Too complicated for me to explain but hopes this helps. Sorry :(

Answer:

-⅐

Step-by-step explanation:

The gradient of a line is a measure of how steep the line is, and is given by the formula below:

\(\boxed{ \text{gradient} = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Gradient of line l

\( = \frac{2 - 1}{ - 2 - 5} \)

\( = \bf{- \frac{1}{7} }\)

Answer: Please use this method
Periods N = 8 years x 12 = 96 periods
The interest rate I = 4.5 % per year, compounding, divided by 12 = 0.375 % for each period.
Present value PV = minus $ 6,981.46
Future value FV = $ 10,000.20

Step-by-step explanation:

The marginal utility is the extra satisfaction derived from the consumption of a product.

Your information isn't well written. Therefore, an overview of utility will be given. The total utility is the total amount of satisfaction that a consumer derives from a product.

The marginal utility simply means the extra satisfaction that's gotten from a product when an additional unit is consumed.

The formula for marginal utility will be:

= Total utility difference/Quantity of goods difference

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The answer is \(\boxed {\frac{3b - 8}{4b}}\).

Answer:

C

Step-by-step explanation:

C

To know the answer check the given file.

The direction of propagation is given by the sign of v.The equation of a travelling wave is given by y(x,t) = 0.2e^(-x - 3t) sin(x + 3t). To prove that this wave satisfies the one-dimensional wave equation, we need to show that:

∂²y/∂x² = 1/v² * ∂²y/∂t² where v is the wave velocity. Let us compute the first and second derivatives of y with respect to x and

t:∂y/∂x = 0.2e^(-x - 3t) cos(x + 3t) - 0.2e^(-x - 3t) sin(x + 3t)

= 0.2e^(-x - 3t) cos(x + 3t - π/4)∂²y/∂x²

= -0.2e^(-x - 3t) sin(x + 3t - π/4)∂y/∂t

= -0.2e^(-x - 3t) (sin(x + 3t) + 3cos(x + 3t))∂²y/∂t²

= -0.2e^(-x - 3t) (cos(x + 3t) + 9sin(x + 3t))

Comparing the two sides of the wave equation, we have:

∂²y/∂x² = (1/v²) ∂²y/∂t²-(1/0.2) sin(x+3t-π/4)

= (1/v²) [-0.2(cos(x+3t)+9sin(x+3t))] -(1/0.2) sin(x+3t-π/4)

On simplification, we get: 9cos(x + 3t) + 17sin(x + 3t) = 0

This equation is satisfied for all x and t only if the coefficients of cos(x + 3t) and sin(x + 3t) are equal to zero, that is: 9/v² = 17/v²

Solving for v, we get:v = ±√(9/17)

The positive sign corresponds to the wave propagating in the positive x-direction, and the negative sign corresponds to the wave propagating in the negative x-direction. Therefore, the direction of propagation is given by the sign of v.

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Responder:

3 / 4x + 1/2 = x

Explicación paso a paso:

Dado que:

Capacidad total = x

Volumen inicial = cierta fracción * capacidad total

Volumen adicional agregado para llenar = 1/2

Por eso,

Inicial. Volumen + volumen adicional = volumen total

De las opciones:

Un volumen inicial de 3 / 4x

Volumen adicional de 1/2

Volumen total = x

Sumar todo hace que la ecuación:

3 / 4x + 1/2 = x

x - 3 / 4x = 1/2

Por lo tanto, la ecuación correcta de la opción es: 3 / 4x + 1/2 = x

Answer:

Step-by-step explanation:

Given the parent function y = x^2, find a related function whose graph is a vertical stretch of the parent function.

Only multiplication is appropriate here:  no addition or subtraction.  A vertical stretch is characterized by multiplying the original function y = x^2 by a constant.  Of the choices given, only y = 4x^2 is exactly right

The surface area of one slice of the wedding cake is approximately 17.7 square inches.

To find the surface area of one slice of the wedding cake, we need to calculate the area of a circle. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

The diameter of the cake is 30 inches, the radius is half of the diameter, which is 15 inches. Plugging this value into the formula, we get A = π(15)² = 225π square inches.

Since the cake is cut into 40 equally sized slices, each slice will have an equal portion of the total surface area. Therefore, we divide the total surface area by 40 to find the surface area of one slice.

Surface area of one slice = (225π square inches) / 40 ≈ 17.7 square inches (rounded to one decimal place).

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Answer:

C is the correct answer

By using division operation we can conclude that the model for 2/3 ÷ 2 = 0.3333333335.

What is division?

Division is an arithmetic operation that involves splitting a quantity or number into equal parts. It is the process of finding how many times one quantity is contained within another quantity.

To solve the problem 2/3 ÷ 2, we can use the division operation of arithmetic. However, since this is a simple calculation, there is no need to use a complex model or tool.

Here are the steps to solve the problem:

Divide 2 by 3:

2 ÷ 3 = 0.666666667 (rounded to nine decimal places)

Divide the result from step 1 by 2:

0.666666667 ÷ 2 = 0.3333333335 (rounded to ten decimal places)

Therefore, 2/3 ÷ 2 = 0.3333333335.

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