Is x^2+y^2=16 a function

Answer:

Law of Sines

Step-by-step explanation:

You know two angles (∠P and ∠R) and the opposite side of ∠P (p).

Answer:

Law of Sines, two angles and an opposite side are known

Step-by-step explanation:

We know that...

In order to use the Law of Sines:

In order to use the Law of Cosines:

So now we know that there are 2 angles and an opposite side given. So that leads us to the answer: Law of Sines, two angles and an opposite side are known.

The surface area of the domed roof to the nearest square foot is 98125 square foot.

The hemisphere is a three-dimensional geometric object that's also half of a sphere, including one side flat the other as a round bowl. It is created by cutting a spherical at the precise center along its diameter, resulting in two equal hemispheres.

The northern or southern hemispheres of the planet as separated by the equator, or even the eastern or western hemispheres as divided by a meridian are the two hemisphere.

The curved surface area of the hemisphere is given by -

curved surface area = 2\(\pi\)r²

The diameter of the base is given as 250 ft.

The radius will become 250/2 = 125 ft.

Substitute the value of radius in the formula of area;

curved surface area = 2\(\pi\)125²

curved surface area = 2 ×3.14× 125²

curved surface area = 98125

Therefore, the surface area of the domed roof to the nearest square foot

98125 square foot.

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Answer:

Step 1.

Step-by-step explanation:

Since You need to do 3 x 3 first, BEFORE 3 - 2, it is incorrect.

Hope that helps!

Answer:

Step 1

Step-by-step explanation:

They are supposed to do 3*3 not 3*1.

Answer:

I hope this helps.

Step-by-step explanation:

You know, it's easier to draw it out to figure out the answer!

It's side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm. So, it's D. (last option)

Answer:

D

Step-by-step explanation:

I got it right on the test. 100%

The solution to this system of linear equations is  (7, 3).

What is equation?

In mathematics, an equation is a formula that expresses the equivalency of two expressions, by connecting them with the equals sign =

Main body:

x - 3y = -2

x = 3y - 2 ….. (1)

x + 3y = 16 …… (2)

Let us solve the system of linear equations using the substitution method.

Substituting x in equation (2)

3y - 2 + 3y = 16

6y = 16 + 2

6y = 18

Divide both sides by 6

y = 3

Substituting the value of y in equation (1)

x = 3 (3) - 2

x = 9 - 2

x = 7

Therefore, the solution is (7, 3).

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An irrational number is a number that cannot be written as a fraction - the decimal goes on forever without repeating. Therefore:

in this case it cannot be expressed as a fraction and it is decimal, this is the correct option. So,

answer A.

Therefore, we can predict that about 362.91 million homes used the internet in the US in 2005.

One output is produced from one input by a function, a kind of rule. The equation y=x2 is a nice illustration of this. Any input for x results in exactly one output for y. The fact that x is the input value means it is accurate to say that y is a function of x.

To model internet usage in the US, we can use the exponential growth formula:

N(t) = N0 * \((1 + r)^t\)

where N(t) is the number of homes using the internet at time t, N0 is the initial number of homes (in 2000), r is the annual growth rate (34% = 0.34), and t is the number of years since 2000.

Plugging in the given values, we get:

N(t) = 84 million * \((1 + 0.34)^t\)

To find the number of homes using the internet in 2005 (5 years after 2000), we can substitute t = 5:

N(5) = 84 million * (1 + 0.34)⁵

N(5) ≈ 362.91 million

Therefore, we can predict that about 362.91 million homes used the internet in the US in 2005.

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A perfect square is an expression that factors into two other expressions that are identical.  The equation that represents this model is (2x)²=4x².

A perfect square is an expression that factors into two other expressions that are identical. A monomial is a single phrase made up of a product of constants, variables, and their positive integer powers. As a result, a perfect square monomial is a monomial that factors into two monomials that are identical.

As given to us that the first row consists of tile 2x², and the second row also consists of tile 2x². Thus, the expression can be written as,

\(2x^2+2x^2\\\\=(2x)^2=4x^2\)

Hence, the equation that represents this model is (2x)²=4x².

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Answer:

A

Step-by-step explanation:

2022

Answer:

x = 28

Step-by-step explanation:

x² = (14√2)² + (14√2)² = 392 + 392 = 784

x = √784 = 28

#1

\(\\ \sf{:}\!\implies -2(x+4)+10<x-7\)

\(\\ \sf{:}\!\implies -2x-8+10<x-7\)

\(\\ \sf{:}\!\implies x+2x>2+7\)

\(\\ \sf{:}\!\implies 3x>9\)

\(\\ \sf{:}\!\implies x>\dfrac{9}{3}\)

\(\\ \sf{:}\!\implies x>3\)

#2

\(\\ \sf{:}\!\implies -2x+9>3(x+8)\)

\(\\ \sf{:}\!\implies -2x+9>3x+24\)

\(\\ \sf{:}\!\implies -2x-3x>24-9\)

\(\\ \sf{:}\!\implies -5x>15\)

\(\\ \sf{:}\!\implies x>\dfrac{15}{-5}\)

\(\\ \sf{:}\!\implies x>-3\)

Answer:

Answer B is correct

Step-by-step explanation:

\(1) - 2(x + 4) + 10 < x - 7 \\ - 2x - 8 + 10 < x - 7 \\ - 2x - x - 8 + 10 < - 7 \\ - 3x + 2 < - 7 \\ - 3x < - 7 - 2 \\ - 3x < - 9 \\ \frac{ - 3x}{ - 3} < \frac{ - 9}{ - 3} \\ x > 3\)

\(2) - 2x + 9 > 3(x + 8) \\ - 2x + 9 > 3x + 24\\ - 2x - 3x > - 9 + 24\\ - 5x > 15 \\ \frac{ - 5x}{ - 5} > \frac{15}{ - 5} \\ x < - 3\)

hope this helps you.

let me know if you have any other questions :-)

\(\sf \bf {\boxed {\mathbb {ANSWER:}}}\)

(a) -3 \(\boxed{ > }\) -4

(b) 6 \(\boxed{ >}\) -20

(c) -8 \(\boxed{ < }\) -2

(d) 5 \(\boxed{ > }\) -7

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}\)

Answer:

LM

Step-by-step explanation:

Usually these problems would already be in order, so since PQ are the first 2 letters of polygon PQRS, then for LMNO, it's LM.

Answer:

its 3.05

Step-by-step explanation:

The coordinates of A will be at (-10, -5) when the transformation (x,y) → (x + 10, y + 5) is  performed on point A.

Given the coordinate of the resulting image after the transformation is A'(0, 0). We need to get the coordinate of the original image A.

Since the transformation (x,y) → (x + 10, y + 5) is performed on A.

A = (0 - 10, 0 - 5)

If we are going from the pre-image to the image, we will translate to the left and downwards

A = (-10, -5)

Hence the coordinates of A will be at (-10, -5)

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The interest rate is 10.89%

1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..

The size of the nominal money supply in the new short-run equilibrium is 121.07.

2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.

Real exchange rate will remain unchanged.

3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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Answer:

its nine

Step-by-step explanation:

m=3

3m =3×3=9

hope you get it soon _____________________

The coordinates of point E, the intersection of line segments AC and BD, are [0, 1].

To determine the coordinates of point E, we need to find the point of intersection between line segments AC and BD. We can use the equations of the lines passing through AC and BD to find the point of intersection.

The equation of the line passing through points A and C can be found using the slope-intercept form of a linear equation:

slope_AC = (yC - yA) / (xC - xA) = (-2 - 3) / (-1 - 3) = -5/4

Using the point-slope form of a linear equation, the equation of the line passing through A and C is:

y - yA = slope_AC * (x - xA)

Substituting the coordinates of point A and the slope, we get:

y - 3 = (-5/4) * (x - 3)

4y - 12 = -5x + 15

5x + 4y = 27   ...........(Equation 1)

Similarly, we can find the equation of the line passing through points B and D:

slope_BD = (yD - yB) / (xD - xB) = (-1 - 5) / (3 - (-3)) = -6/6 = -1

Using the point-slope form of a linear equation, the equation of the line passing through B and D is:

y - yB = slope_BD * (x - xB)

Substituting the coordinates of point B and the slope, we get:

y - 5 = (-1) * (x + 3)

x + y + 8 = 0    ...........(Equation 2)

To find the coordinates of point E, we solve the system of equations formed by Equations 1 and 2. By solving these equations, we find that the coordinates of point E are [0, 1].

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Answer:

Step-by-step explanation:

Left sides of both equations are the same sum (8x+2y), so the right sides also has to be the same. They are not so  there is no solutions.

{If they are the same then system has infinitely many solutions.}

Answer:

D. y = cos(4x)

Step-by-step explanation:

The graph passes through the points y = 0 and x = 3π/8

So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.

Answer:

A  -6 divided by (-3)

Step-by-step explanation:

The equation representing the gas left in h hours is g(h) = 8.5 - 1.25h

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used.

A linear equation is written as

y = mx + b

Where (x, y) is the ordered pair and m is the rate of change and b is the y-intercept.

Let x = time in hours

y = amount of gallons left

So, according to the question, 7.25 gallons of gas is left after 1 hour. So,

(x₁, y₁) = (1, 7.25)

3.5 gallons of gas left after 4 hours, so

(x₂, y₂) = (4, 3.5)

Find the slope

m = (y₂ - y₁) / (x₂ - x₁)

= (3.5 - 7.25)/ (4-1)

= -3.75/ 3

= -1.25

Put values of m = -1.25, (x, y) = (1, 7.25) in y= mx+b

So, 7.25 = -1.25 +b

b = 7.25 +1.25

b = 8.5

So, the linear equation for the situation in terms of g and h is

g(h) = -1.25h + 8.5

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Given :

To find :-

Solution :-

Given equation ,

Answer: (c)

Step-by-step explanation:

In the given figure, two triangles are similar namely \(\triangle ABC\) and \(\triangle ADB\)

For similar triangles, the ratio of the corresponding sides are equal.

For option (a), Hypotenuse to Perpendicular ratio is given, that is correct

Similarly for option (b), Perpendicular to hypotenuse ratio is given

Both option (a) and (b) gives the same value of \(x\) that is,

\(\Rightarrow x=\sqrt{81\times 45}\\\Rightarrow x=60.37\)

Option (c) does not give the correct value of  \(x\)

Answer:

C

Step-by-step explanation:

In the given figure, two triangles are similar namely  and  

For similar triangles, the ratio of the corresponding sides are equal.

For option (a), Hypotenuse to Perpendicular ratio is given, that is correct

Similarly for option (b), Perpendicular to hypotenuse ratio is given

Both option (a) and (b) gives the same value of  that is,

Option (c) does not give the correct value of  

The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).

To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.

First, let's find the derivatives of f(x) up to the third order:

f(x) = (3cos(x))ln(1+x)

f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)

f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²

f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³

Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:

f(0) = (3cos(0))ln(1+0) = 0

f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3

f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3

f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9

Now we can write the first three nonzero terms of the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...

Simplifying, we have:

f(x) = 3x - (3/2)x² - (3/2)x³ + ...

To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:

Let aₙ be the nth term of the series.

|r| = lim(n->infinity) |a_(n+1)/aₙ|

= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|

= lim(n->infinity) |(3/2)x|

For the series to converge absolutely, we need |r| < 1:

|(3/2)x| < 1

|x| < 2/3

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Required value of s(4), s(7), s(5), s(9) are V(4) + C, V(7) + C, V(5) + C, V(9) + C respectively where c is the constant.

To determine the values of s(t) at different time points, we need to integrate the velocity function v(t) with respect to time. Based on the values you provided, it seems like you have already performed the integration correctly. However, since the values you provided are the definite integrals, we need to find the antiderivative or the indefinite integral of the velocity function to determine s(t) explicitly.

Let's assume the indefinite integral of v(t) is V(t). Then, we have:

s(t) = V(t) + C

where C is the constant of integration. To determine the constant C, we can use the initial condition s(0) = -3. Substituting t = 0 into the equation, we get:

s(0) = V(0) + C

-3 = V(0) + C

Since the constant of integration is the only unknown term, we can solve for C:

C = -3 - V(0)

Now, we can find the position function s(t) for different values of t using the indefinite integral and the constant C:

s(4) = V(4) + C

s(7) = V(7) + C

s(5) = V(5) + C

s(9) = V(9) + C

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Answer:

El modelo lineal del comportamiento de producción de autos es y=69*x -136865

Step-by-step explanation:

Una función real de variable real es una función lineal si es de la forma f(x)=mx+n o y=mx+n. Es decir, la ecuación de la función se corresponde con un polinomio de primer grado. La representación gráfica de una función lineal es siempre una recta. El coeficiente m recibe el nombre de pendiente de la recta y será el responsable de lo inclinada o “pendiente” que se encuentre la recta respecto del eje X mientras que b es el intercepto con el eje Y.

Teniendo dos puntos (x1,y1) y (x2,y2) se puede calcular la pendiente mediante la expresión:

\(m=\frac{y2-y1}{x2-x1}\)

Para encontrar el valor de b, una vez reemplazado el valor de m en la ecuación se sustituye los valores de x y de y por los valores de las coordenadas de uno de los puntos, sea el uno o el dos y se despeja b para así obtener su valor.

En este caso y representará la producción de autos mientras que x cada año de producción. Entonces se tiene los siguientes puntos: (2000; 1135) y (2010; 1825)

Por consiguiente, el valor de m será:

\(m=\frac{1825-1135}{2010-2000}\)

m=69

Entonces: y=69*x + b. Eligiendo el punto (2000; 1135) y reemplazando:

1135= 69*2000 + b

Se obtiene que el valor de b es:

1135= 138000 + b

-136865= b

Entonces el modelo lineal del comportamiento de producción de autos es y=69*x -136865