i. (x+y) − (x−y) is a ___________ expression.

This value is 52 million.

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

Explanation:

During the first year, the well produced 50,000 quarts of water per week. Since there are 52 weeks in a year, the well produced 52*50,000 = 2,600,000 quarts in total for that first year alone. This is the initial value 'a'.

The common ratio is r = 1 - 0.05 = 0.95

So we have a geometric sequence with starting term a = 2,600,000 and common ratio r = 0.95

Since -1 < r < 1 is true, we can use the infinite geometric series formula as shown below.

S = a/(1 - r)

S = (2,600,000)/(1-0.95)

S = 52,000,000

S = 5.2 * 10^7 which is choice D

The equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-a)²+(y-b)² = r²

Where (a, b) is the centre and 'r' is the radius

We have a circle with centre (0, 0) and radius of 5.

Now, Substituting these value into the equation form, we have

(x-0)²+(y-0)² = 5²

x² + y² = 25

Hence, the equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.

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Answer: 4.6 km

Step-by-step explanation:

a^1 + b^2 = c^2

2^2 + b^2 = 5^2

4 + b^2 = 25

b = sqrt 25 - 4

b = sqrt 21 = 4.6 km

Hi there!

[tex]\large\boxed{102^o}[/tex]

Using the triangle exterior angle theorem, we know that:

∠4 = the other two angles of the triangle combined (both are given)

Thus:

∠4 = 51 + 51 = 102°

Angle 4 is an outside angle.

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

The two opposite inside angles to angle 4 are shown as 51 and 51

Angle 4 = 51 + 51

Angle 4 = 102 degrees.

Determine the amount of money Kofi earn mowing lawns today

The amount of money Kofi earn mowing lawns today is 30 cedis

Given:

Amount Kofi earn mowing lawns yesterday = 50 cedis

Amount Kofi earn mowing laws today = 60% of yesterday's earning

= 60% of 50 cedis

= 60/100 × 50 cedis

= 0.60 × 50 cedis

= 30 cedis

Therefore, the amount of money Kofi earn mowing lawns today is 30 cedis

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Answer:

(x - 2)

Step-by-step explanation:

Given expression is,

[tex]\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]

We have to find the quotient.

x² + 5x + 6) x³ + 3x² - 4x - 12(x - 2

                   x³ + 5x² + 6x

                       -2x² - 10x - 12

                       -2x² - 10x - 12

                                    0

Therefore, quotient of the given expression will be (x - 2).

Answer:

X - 2

Step-by-step explanation:

Answer:

sin (a+b)= sina*cosb - sinb*cosa

cos (a+b) = cosa*cosb + sina*sinb

Answer:

sin (A + B) = sin A cos B + cos A sin B

cos (A + B) = cos A cos B - sin A sin B

on:

Answer:

a reflection in the y axis followed by a translation 1 unit down

Step-by-step explanation:

Reflection over the y-axis then a unit down

The solution is, at 500 miles, will the rental fee be the same under both plans A and B.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

from the given information, we get,

Plan A:   y = .2x + 75

Plan B:   y = .35x

Find an xy pair that satisfies both (intersection)

Substitute Plan B's y for Plan A

.35x = .2x + 75

.35x - .2x = 75

.15x = 75

x = 500

Hence, The solution is, at 500 miles, will the rental fee be the same under both plans A and B.

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Answer:

4 balls in neither hole, and 6 balls in the smallest hole

Step-by-step explanation:

4 balls in the bigger hole, and 6 balls in neither hole

4(10) + 6(1) = 46

4 balls in the smallest hole, and 6 balls in neither hole

4*100 + 6(1) = 406

4 balls in neither hole, and 6 balls in the smallest hole

4(1) + 6(100) = 604

4 balls in the bigger hole and 6 balls in the smallest hole

4(10)+6(100) = 640

Answer:

1. Angles 2, 3 and angles 1,3 are complementary angles(Given)

2. To prove :

Since Angles 2, 3 and angles 1,3 are complementary.

When angles are complementary, then the sum of the measures of angles is 90 degrees.

So,  and  (Definition of Complementary angles)

3.  (Substitution)

4.  (Subtraction property of equality)

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

g(x) = (x) -5

Let x = -5

g(-5) = -5 -5 = -10

Let x= 0

g(0) = 0-5 = -5

Let x= 5

g(5) = 5-5 = 0

Answer:

Its -34 cuhcuhcuchuchcuh

Step-by-step explanation:

cuhcuhcuchucuhcuhcuhcuhcuchcuh

Answer:

90

Step-by-step explanation:

c is perpendicular to b

That means angles 5,6,7,8 are 90 degrees

a is parallel to c

That means b is perpendicular to a

That means that 1,2,3,4 are 90 degrees

<1 = 90 degrees

Answer:

the answer is 90

Step-by-step explanation:

simpliy because c and b make a right angle

Answer:

0

Step-by-step explanation:

We can write the equation in a simpler form so it doesn't look like a mess of numbers:

[tex]7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}[/tex]

Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.

Answer:

a = 24.0

Step-by-step explanation:

We can use the law of sines to solve

sin 150       sin 12

---------- = ----------

a                    10

Using cross products

10 sin 150 = a sin 12

10 sin 150 / sin 12 = a

a=24.04867

To the nearest tenth

a = 24.0

Answer: B

Step-by-step explanation:

We are given that a 45-45-90 triangle has a hypotenuse of [tex]7\sqrt{2}[/tex].

In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.

[tex]a^2+a^2=(7\sqrt{2})^{2}[/tex]         [combine like terms]

[tex]2a^2=(7\sqrt{2})^2[/tex]               [square root both sides]

[tex]a\sqrt{2} =7\sqrt{2}[/tex]                 [divide both sides by root 2]

[tex]a=7[/tex]

Now, we know that a leg is length 7, which is B.                

Answer:

[tex] \sqrt{(12) {}^{2} } + (7) {}^{2} \\ = 13.89[/tex]

Answer: x = 14

Step-by-step explanation:

[tex]h^2 = p^2 + b^2 \\x^2 = 12^2 + 7^2\\x^2 = 144+49\\x^2 = 193\\x = \sqrt{193} \\x = 13.89\\so, x = 13.9 \\so, x = 14[/tex]

Answer:

[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]

Step-by-step explanation:

so, the time to answer questions has to be added to the speaking time to get the total time of the meeting.

the speaking time is constant (25 minutes).

q = 1 means t = 25 + q = 25 + 1 = 26

q = 2 means t = 25 + q = 25 + 2 = 27

q = 3 means t = 25 + q = 25 + 3 = 28

q = 8 means t = 25 + q = 25 + 8 = 33

Answer:

BFG = 135

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x+15 = 5x-5

Subtract 3x from each side

3x+15-3x = 5x-5-3x

15 = 2x-5

Add 5 to each side

15+5 = 2x-5+5

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

We know that AFG + BFG = 180 since it forms a straight line

AFG + BFG = 180

3x+15 + BFG = 180

3(10) + 15  + BFG = 180

30+15 + BFG = 180

45 + BFG = 180

BFG = 180-45

BFG = 135

Answer:

<BFG = 135

Step-by-step explanation:

They are the same angle, so they will be equal to eachother.

3x + 15 = 5x - 5

-3x          -3x

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

     15   = 2x - 5

     +5           +5

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

     20 = 2x

     -----   ----

       2      2

      10 = x

3(10) + 15

30 + 15

   45

180-45 = 135

The answer is 135.

Answer:

all of the options

Step-by-step explanation:

Answer:

38º

Step-by-step explanation:

<BAC is a central angle. The corresponding arc, BC will be equal to the measure of the central angle.

So mBC = 38º

Answer:

A' (7,-8)

B' (8,-11)

C' (4,-10)

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

A will be 7,-8

B will be 8,-11

C will be 4,-10

How?

add 3 to the x coordinate of the original points and -7 to the y coordinate of the original points, Example: 4+3 = 7 and -1+-7 = -8

Answer:

7

Step-by-step explanation:

4/8 = 1/2

3/8 is less than 1/2 so round down

7 3/8 rounds to 7

Answer:

7

Step-by-step explanation:

7 3/8 = 7.375

The closest whole number is 7

Answer from Gauthmath

Answer:

El problema esta incompleto, pero es facil ver que se desea estudiar el enfriamiento de la olla.

Sabemos que la ecuación de enfriamiento de Newton es:

[tex]T (t) = T_s + (T_0 - T_s)*e^{-k*t}[/tex]

Donde t es el tiempo.

[tex]T_s[/tex] es la temperatura del ambiente, en este caso es 12°C

[tex]T_0[/tex] es la temperatura inicial del objeto, en este caso 175°C

k es una constante, que es lo que usualmente se pide obtener en este tipo de problemas.

Reemplazando esos valores en nuestra ecuación obtenemos:

[tex]T(t) = 12 + (175 - 12)*e^{-k*t}\\\\T(t) = 12 + (163)*e^{-k*t}[/tex]

Ahora se nos dice:

"Luego de 10 minutos, la temperatura de la olla será de 100°C"

(estos valores no son necesariamente los del problema, son unos valores genéricos para poder mostrar como se resuelve este tipo de ejercicio)

Entonces, T(10 min) = 100°C

Reemplazando eso en nuestra ecación, obtenemos:

[tex]T(10 min) = 100 = 12 + (163)*e^{-k*10min}[/tex]

Ahora podemos despejar el valor de k resolviendo la ecuación de arriba.

[tex]100 - 12 = (163)*e^{-k*10min}\\\\88 = (163)*e^{-k*10min}\\\\88/163 = e^{{-k*10min}[/tex]

Ahora podemos recordar que:

ln(e^x) = x

Entonces aplicando el logaritmo natural a ambos lados, obtenemos:

[tex]ln(88/163) = ln(e^{-k*10min}) = -k*10min\\\\ln(88/163)/(-10 min) = k = 0.062 min^{-1}[/tex]

Así hemos encontrado el valor de k, y con exactamente el mismo método podríamos encontrar k en cualquier situación de este tipo.

Answer:

missing side is √193

= 13.892443989449