2p + 4q =20 translate into a sentence

Answer:

8000 cm^2 or 8 m^2

Step-by-step explanation:

We can convert 2 meters to centimeters, simply by multiplying the ,meters value by 100. So, the converted dimensions of the rectangle are 200 cm by 40 cm. Multiplying to get the area, we have 8000 cm^2. This could also be expressed in terms of m^2 as 8 m^2.

The value of the variable, x is 45 degrees

We have that the polygon is one with eight sides, that is, it is a regular octagon.

To determine the interior angle, we have

(n - 2) 180

n is the number of sides

(8-2)180

1080 degrees

Now, divide it by the number of sides

1080/8 = 135 degrees

Note that angles on a straight line is equal to 180

Then,

x + 135 = 180

Collect like terms

x = 180 -135

subtract the values

x = 45 degrees

Hence, the value is 45 degrees

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To find y′(9) by implicit differentiation given x*y = 9 and y(9) = 36: Differentiating both sides of the equation x*y = 9 with respect to x:
  - Apply the product rule for differentiation, which is (u*v)' = u'*v + u*v'.
    Here, u = x and v = y, so the equation becomes:
    (x*y)' = x'*y + x*y'
Replacing x' and y' with dx/dx and dy/dx, respectively:
  - Since x' = dx/dx = 1, the equation becomes:
    1*y + x*(dy/dx) = 0
Solving for dy/dx:
  - Rearrange the equation to isolate dy/dx:
    dy/dx = -y/x

Substitute x = 9 and y = 36:
  - According to the given information, y(9) = 36, so when x = 9, y = 36.
    Substitute these values into the equation:
    y'(9) = -36/9
Simplify the result:
  - y'(9) = -4

So, y′(9) = -4.

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Answer/Step-by-step explanation:

A. The point (3.5, 210) on the graph means the car travelled a distance of 210 miles, at constant speed, for 3.5 hours.

B. To find out if the point (1, 60) is on the line, first, calculate the slope of the line (rate of change), and then find the rate of change between the point (1, 60) and the point (3.5, 210). If you get the same value as the slope of the line, it definitely means (1, 60) is a point of the graph.

Calculating slope of the line using (3.5, 210) and (5, 300):

\( slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{300 - 210}{5 - 3.5} \)

\( slope(m) = \frac{90}{1.5} \)

\( slope(m) = 60 \)

Calculating the rate of change (slope) between (1, 60) and (3.5, 210):

\( = \frac{y_2 - y_1}{x_2 - x_1} = \frac{210 - 60}{3.5 - 1} \)

\( = \frac{150}{2.5} = 60 \)

Rate of change (slope) = 60

Since the average rate of change between (1, 60) and the given point on the graph, (3.5, 210), is the same as the slope of the graph, therefore the point (1, 60) is a point on the graph also.

The answer is, YES.

Vector is the quantity that has magnitude as well as direction. The component form of the vector that translates P(-3,6) to P'(-4,8)  is -i + 2j.

A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.

The sum of two vector quantities is always a vector quantity.

The sum of two vector quantities can vary from their scalar difference to their scalar addition.

The given points are P(-3,6) to P'(-4,8) .

The vector component form of two points (x₁,y₁) and (x₂,y₂) is given by ,

(x₂-x₁)i + (y₂-y₁)j

Therefore, The vector component form of given points are,

(-4-(-3))i + (8-6)j

-i + 2j.
Hence "The component form of the vector that translates P(-3,6) to P'(-4,8) -i + 2j.

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A negative exponent means the number of the exponent divide by the number. The the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.

Given information-

The radius of a nitrogen atom is \( 5.6\times10^{-11} \) meters.

The radius of a beryllium atom is \(1.12 \times10^{-10}\) meters

A negative exponent means the number of the exponent divide by the number.

As the radius of the nitrogen atom is \( 5.6\times10^{-11} \) meters. Convert it in the power of negative exponent of 10.

Let the radius of the nitrogen is \(r\) mm. Thus,

\(r=5.6\times 10^{-11}\\ r=5.6\times 10^{-10-1}\\ r=5.6\times 10^{-10}\times10^{-1}\\ r=\dfrac{5.6\times 10^{-10}}{10} \\ r=0.56\times 10^{-10}\)

Now the base of the exponents of both the atoms are same. As the radius of the nitrogen atom is \(0.56\times 10^{-10}\) meters and the radius of the beryllium atom is \(1.12 \times10^{-10}\). Thus the radius of beryllium atom is larger.

To calculate how many times, the radius of beryllium atom should be divided by the radius of a nitrogen atom. Thus,

\(=\dfrac{1.12\times10^{-10}}{0.56\times10^{-10}} \\ =2\)

Thus the the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.

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Joseph expects to have exactly $20,400.00 in approximately 4 years from today. To calculate the number of years required, we can use the compound interest formula: A = P * (1 + r)^n

Where:

A = Future value

P = Present value (initial investment)

r = Annual interest rate

n = Number of years

In this case, the present value is $18,200.00, and the future value is $20,400.00. We need to find the number of years (n) required to reach the future value. The interest rate (r) can be determined by calculating the annual rate implied from the past and current values of Joseph's investment.

The rate of return (r) can be calculated as (Future Value / Present Value)^(1/n) - 1. Plugging in the values, we get:

r = ($20,400.00 / $18,200.00)^(1/n) - 1

Simplifying the equation, we have:

1.12 = 1.0566^(1/n)

Taking the natural logarithm of both sides, we get:

ln(1.12) = (1/n) * ln(1.0566)

Solving for n, we find:

n = ln(1.12) / ln(1.0566) ≈ 4.01

Therefore, Joseph expects to have exactly $20,400.00 in approximately 4 years from today.

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The statement that best describes the infοrmatiοn presented in the chart is: "The number οf hurricanes was increasing but has decreased in recent years."

Hurricanes, knοwn generically as trοpical cyclοnes, are lοw-pressure systems with οrganized thunderstοrm activity that fοrm οver trοpical οr subtrοpical waters. They gain their energy frοm warm οcean waters.

The chart shοws the number οf hurricanes οf categοry 1 οr higher that οccurred during specific series οf years, and it indicates that the number οf hurricanes increased frοm 13 in 1980-1989 tο 23 in 2000-2009, and then decreased tο 10 in 2010-2017.

Therefοre, the chart suggests that the number οf hurricanes was increasing, but it has decreased in recent years. The chart dοes nοt prοvide any infοrmatiοn abοut tοrnadοes in Finleyville οr the relatiοnship between the number οf hurricanes and temperature.

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The statement that best describes the information in the graph is: "The number of hurricanes has increased but decreased in recent years." The graph shows that the number of Category 1 or greater hurricanes increased from 1980 to 2009, but decreased from 2010 to 2017.

The expected temperature in Peoria Illionis on february 15 is 22.028≈22 degrees farenheit.

A measure of the temperature at high elevations in the Earth's atmosphere is called the atmospheric temperature. Many factors, such as incoming solar radiation, humidity, and altitude, affect it.

The average daily temperature in Peoria Illionis can be predicted by given formula ,

\(T=50-28cos[\frac{2\pi (x-31)}{365} ]\)

where , x is the number of day in year.

February 15 is (31+15)th day of the year

therefore, February 15 1s 46th day of the year.

now in the given formula,

\(T=50-28cos[\frac{2\pi (x-31)}{365} ]\\\\T=50-28cos[\frac{2\pi (46-31)}{365} ]\\\\T=50-28cos[\frac{2\pi (15)}{365} ]\\\\T=50-28cos[\frac{30\pi}{365} ]\\\\T=50-28cos[0.258]\\\\T=50-28(0.999)\\\\T=50-27.972\\\\T=22.028\)

So , the expected temperature on february 15 is 22.028≈22 degrees farenheit.

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Answer: rhombus, recbangles, and squres

Step-by-step explanation: the congruency of recbangles are congruent

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

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The last equation implies that F is a conservative vector field with the scalar potential f(x, y, z).

Suppose that F: RS R' is a vector field, and the component functions of F have continuous partial derivatives.

The curl of F is curl(F) = 0.

Then, F is a conservative vector field. (Recall that 0 = (0,0,0)).

To begin with, let F = (P, Q, R) be a vector field, which is a map from RS to R' defined by the following set of equations, F(x, y, z) = (P(x, y, z), Q(x, y, z), R(x, y, z)).

According to the given statement, the component functions of F have continuous partial derivatives.

Thus, the following equations hold:true
Partials of P exist and are continuous.true
Partials of Q exist and are continuous.true
Partials of R exist and are continuous.

Using the definition of the curl of F,

we have:curl(F) = (Ry - Qz, Px - Rz, Qx - Py)Since curl(F) = 0, it follows that:Ry - Qz = 0Px - Rz = 0Qx - Py = 0

We need to show that F is a conservative vector field. A vector field F is conservative if and only if it is the gradient of a scalar field, say f. In other words, F = grad(f) for some scalar function f.

Let us assume that F is conservative.

Then, we have:

F = grad(f) = (∂f/∂x, ∂f/∂y, ∂f/∂z)

By definition, curl(F) = (Ry - Qz, Px - Rz, Qx - Py).

Therefore, we can write:

Ry - Qz = (∂(Px)/∂z) - (∂(Qx)/∂y)Px - Rz = (∂(Qy)/∂x) - (∂(Py)/∂z)Qx - Py = (∂(Rz)/∂y) - (∂(Ry)/∂x)

Now, we can solve these equations for Px, Py,

and Pz:Pz = ∫(Ry - Qz)dx + g(y, z)Px = ∫(Qx - Py)dy + h(x, z)Py = ∫(Px - Rz)dz + k(x, y)Here, g(y, z), h(x, z), and k(x, y) are arbitrary functions of their respective variables, that is, they depend only on y and z, x and z, and x and y, respectively.

Since the component functions of F have continuous partial derivatives, we can use the theorem of Schwarz to show that Px = (∂f/∂x), Py = (∂f/∂y), and Pz = (∂f/∂z) are all continuous.

This means that g(y, z), h(x, z), and k(x, y) are all differentiable, and we can write:

g(y, z) = ∫(Ry - Qz)dx + C1(y)h(x, z) = ∫(Qx - Py)dy + C2(x)k(x, y) = ∫(Px - Rz)dz + C3(y)

Since we can take the partial derivative of f with respect to x, y, or z in any order, it follows that the mixed partial derivatives of g(y, z), h(x, z), and k(x, y) vanish.

Hence, they are all constant functions. Let C1(y) = C2(x) = C3(z) = C. Then, we have:

f(x, y, z) = ∫P(x, y, z)dx + C = ∫Q(x, y, z)dy + C = ∫R(x, y, z)dz + C

The last equation implies that F is a conservative vector field with the scalar potential f(x, y, z).

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Answer:

10

Step-by-step explanation:

d√=(−2−4)^2+(10−2)^2

d=√(−6)^2+(8)^2

d=√36+64

d=√100

d=10

Answer: Super B market

Step-by-step explanation:

If you add $0.89 5 times for 6 limes you get $5.34 so West gate is 34 cent more than Super B.

Equation: z-7+3=4

z-7+3=4

z=4+7-3

z=11-3

z=8

Answer:

We conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

Step-by-step explanation:

If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

For example, let the function

\(f\left(x\right)\:=\frac{x+3}{x-3}\)

It is clear that the given function becomes undefined at x = 3 in the denominator.

i.e. 3-3 = 0

It means, the function can not have x = 3, otherwise, the function will become undefined.

In other words, if the function has a vertical asymptote at x = 3, then the function is undefined at the value.

Therefore, we conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

The length of the deep end is 12 feet of the swimming pool.

Given: Area of the swimming pool is 210 square feet

Width of the pool = 10 feet

The length of the shallow end is 9 feet and the length of the deep end is d.

To find the value of d.

Let's solve the problem.    

The area of the swimming pool is 210

The width is 10

The deep end length is d

The shallow end length is 9

The total length of the swimming pool = The length of the deep end + The length of the shallow end

=> d + 9

Therefore, the total length of the swimming pool is d + 9

The surface of the swimming pool is rectangular, so

The area of rectangle = width × length

Therefore,

area of swimming pool = width of the pool × length of the swimming pool

=> 210 = 10 × (9 + d)

or 10 × (9 + d) = 210

Dividing both sides by 10:

10 × (9 + d) / 10 = 210 / 10

9 + d = 21

Subtracting 9 on both sides:

9 + d - 9 = 21 - 9

d = 12

Therefore the length of the deep end is 12 feet

Hence the length of the deep end is 12 feet of the swimming pool.

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The length of the deep end of the swimming pool is 12 feet.

We are given that:

The Area of the swimming pool = 210 square feet

width of the swimming pool = 10 feet

Length of shallow end = 9 feet

Let the length of the deep end be d.

Total length of the swimming pool = length of deep end + length of shallow end =  d + 9

Area of swimming pool = width × length

Substituting the values, we get that:

210 = 10 × (9 + d)

9 + d = 21

d = 12

Therefore the length of the deep end of the swimming pool is 12 feet.

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Because the temperature is greater, the relative humidity of the atmosphere is higher.

Water vapor is also measured by relative humidity (RH), which is stated as a percentage but RELATIVE to the air's temperature. In plenty of other terms, it is a comparison between the quantity of water vapor that is really present in the air and the maximum amount water vapor that is possible for the air at the current temperature.

By deducting the temperature just on wet-bulb thermometer from of the temperature just on dry-bulb thermometers and utilizing a relative humidity chart, one may determine the relative humidity.

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Answer:

-7j +3

Step-by-step explanation:

-5j -2j +3

-7j +3

like terms are combined. combine the js

Answer:

3 - 7j

Step-by-step explanation:

-5j + -2j + 3

|_______|

-7j + 3 [or vice versa, like in the above answer]

The value for s is 7.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Given:

Rearrange unknown terms to the left side of the equation:

\(\sf 5s-3s=9+5\)

Combine like terms:

\(\sf 2s=9+5\)

Calculate the sum or difference:

\(\sf 2s=14\)

Divide both sides of the equation by the coefficient of variable:

\(\sf s=\dfrac{14}{2}\)

\(\rightarrow \bold{s=7}\)

Hence, the value for s is 7.

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Answer:

If you buy a 15 dollar gift card every day for a year, it will cost $5,475.

Just take the price, multiply it by the amount.

Answer:

$5475

Step-by-step explanation:

365 X 15 =

(365 x 10) + (365 x 5) =

3650 + 1825 =

$5475

Answer:

15

Step-by-step explanation:

It does not divide evenly, but there are 15 groups of 6 in 95.

Answer:  30 in

Step-by-step explanation:

Multiply the length and width and divide the number you get from 2175.

Brainliest Please!

Answer:

The answer is on the image.

Hope it helps!

coordinate of K is (0,7.5) or (0,\(\frac{15}{2}\)}

and

scale factor=\(\frac{5}{8}\)

Answer:

solution given:

O(0,0)

B(5,0)

P(8,0)

K(0,x)

S(0,-12)

and

ΔBOK \(\sim\) ΔPOS

Now

By using the distance formula

d=\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

OB=\(\sqrt{(5-0)^2-(0-0)^2} =5\)

OP=\(\sqrt{(8-0)^2-(0-0)^2} =8\)

OK=\(\sqrt{(0-0)^2-(x-o)^2} =x\)

OS=\(\sqrt{(0-0)^2-(-12-0)^2} =12\)

since

ΔBOK is similar to ΔPOS

So their side will be proportional.

\(\frac{OK}{OS}=\frac{OB}{OP}\)

taking two proportional only

\(\frac{x}{12} =\frac{5}{8}\)

\(x=\frac{ 12*5}{8}=\frac{15}{2}\)=7.5

Now

coordinate of K is (0,7.5) or (0,\(\frac{15}{2}\)}

and

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

scale factor=\(\frac{OB}{OP}=\frac{5}{8}\)

Answer: 199263

Step-by-step explanation: do I even need an explanation for simple multiplication?

The equation allows us to chart the tree's development over time and forecast its ultimate height.

A function is a mathematical formula that allots each input from one set, known as the domain, to precisely one output from another set, known as the range. A function can be used to model relationships between variables, answer issues, and make predictions. It can be represented by an equation, a graph, a table, or a verbal description. Numerous branches of mathematics, as well as disciplines like physics, engineering, finance, and computer science, make extensive use of functions. Typical instances of functions include: When a function is graphed, it always changes at the same rate and forms a straight line. They are frequently used to simulate relationships between two variables that are related linearly, such as time and location.

given

After d days, Alani created the following algorithm to measure the height of the banana tree:

h = d + 8

Since this function is linear, the banana tree's development will remain constant over time. According to the calculation, the tree starts out at a height of 8 units, and it increases by 1 unit per day after that.

We can enter a figure for d (the number of days) and solve for h using this equation (the height of the tree after d days). For instance, we can enter d = 10 into the calculation to get the height of the tree after 10 days:

h = 10 + 8

h = 18

Therefore, the altitude of the banana plant after 10 days would just be 18 units. This equation allows us to chart the tree's development over time and forecast its ultimate height.

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Answer:

Step-by-step explanation:

false that is not at all true

Answer:

the answer is (2,-3)

Step-by-step,-explanation: