Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially as
shown in the graph below. The engineers measure the depth after 1 hour to be 64 feet and after 4 hours to be
28 feet. Develop an exponential equation in y=a(6)" to predict the depth as a function of hours draining.
Round a to the nearest integer and b to the nearest hundredth. Then, graph the horizontal line y = 10 and
find its intersection to determine the time, to the nearest tenth of an hour, when the reservoir will reach a
depth of 10 feet.

Answer:

no solutions

Step-by-step explanation:

x-2=7+x

Subtract x from each side

x-2-x = x+7-x

-2 =7

This is never true so there are no solutions

Answer:

2.7%

Step-by-step explanation:

Answer:

y = 1.50x + 5.50

Step-by-step explanation:

Answer:

convert the grams to kg

500g = 0.5

100g = 0.1

divide cost by quantity

7.49 / 1 = 7.49$ per bag

3.99 / 0.5 = 7.98$ per bag

0.79/0.1 = 7.9$ per bag

the cheapest is $7.49 which is 1kg bag of flour for 7.49$, that will be your answer

Applying statistical concepts, it is found that the values are:

When a constant is added to each data in a variable:

When a constant is multiplied to each data in a variable:

Hence, mean of 12, added with p and multiplied with q, for a mean of 51:

[tex](12 + p)q = 51[/tex]

Variance of 84, after the operations, 756:

[tex]84\sqrt{q} =756[/tex]

[tex]\sqrt{q} = \frac{756}{84}[/tex]

[tex]\sqrt{q} = 9[/tex]

[tex](\sqrt{q})^2 = 9^2[/tex]

[tex]q = 81[/tex]

For p:

[tex](12 + p)q = 51[/tex]

[tex](12 + p)81 = 51[/tex]

[tex]12 + p = \frac{51}{81}[/tex]

[tex]12 + p = 0.63[/tex]

[tex]p = -11.37[/tex]

A similar problem is given at https://brainly.com/question/24097242

Answer:

OPTION D, IS THE CORRECT ANSWER IN BOTH

Answer:

x=125º

2x=250º

Step-by-step explanation:

720 is the sum of the interior angles of a Hexagon

720=60+65+120+100+3x

720=345 +3x

-3x=345-720

-3x=-375

-x=-125

x=125

Answer:

x= 125

2x= 250

Step-by-step explanation:

720-120-100-65-60=375

x is slightly bigger than 120 so I made it 125

and 2x is huge so it was obviously the remainder which is 250

[tex]43[/tex]

Answer:

The slope in this graph is 6

-2 I think

I hope this helped

Answer:

Since both equations equal to f(x), you can set 4x+11 equal to -1 and solve for x.

4x+11=-1

Subtract 11 from both sides.

4x=-12

Divide both sides by 4.

x=-3

:)

Queremos encontrar la escala que se ha utilizado para la elaboración de la maqueta.

Veremos que la escala utilizada es 1cm = 0.5m

Para encontrar la escala, tenemos que ver la relación entre la medida de la maqueta y la medida real.

Sabemos que:

Lo que tenemos que ver es cuanto representa cada centimetro en la maqueta.

Asi, tenemos la relación:

90cm = 45m

90cm/90 = 45m/90

1cm = 0.5m

Es decir, cada centimetro en la maqueta representa 0.5 metros en la realidad, es decir, la escala utilizada es:

1cm = 0.5m

Sí quieres aprender más, puedes leer:

https://brainly.com/question/17447887

Answer: The first/ third one

Step-by-step explanation:

Answer:

Linear function, zero slope

Step-by-step explanation:

A horizontal line neither rises nor falls and has a zero slope.  Hence, the equation y = mx + b becomes y = b, where b is the y-intercept. The selected option for the equation of the given graph is correct, that y = 5.

A function is a relation where any x-coordinate cannot be paired with more than one y-coordiante.  Consequently, if a graph contains two or more different points with the same first coordinate, the graph cannot represent a function.  

A great way to test whether a given graph represents a function is by performing the vertical line test.  The vertical line test states that if each  vertical line drawn intersects the graph at exactly one point, then the relation is a function.

Attached is an edited screenshot of the given graph, showing the results of the vertical line test. The given graph is a function since each vertical line crosses the graph at most once.  This implies that each x-coordinate corresponds to exactly one y-coordinate.

Therefore, the given graph represents a linear function with a zero slope.

The linear term is the term with a degree of 1, hence the coefficient of the linear term is -11

Given the functions (3x-2) (2x^2 + 7x-1)

Taking the product of the functions will give:

(3x-2) (2x^2 + 7x-1) = 3x(2x^2) + 3x(7x) + 3x - 4x^2 - 14x + 2

(3x-2) (2x^2 + 7x-1) = 6x^3+21x^2 -11x - 4x^2 + 2

(3x-2) (2x^2 + 7x-1) =6x^3+17x^2 - 11x + 2

The linear term is the term with a degree of 1, hence the coefficient of the linear term is -11

Learn more here: https://brainly.com/question/19005279

Answer:

The shortest distance from a point to a line is the perpendicular from the line to the point

The equation of the given line is -x + 2·y = 14, which can be written in slope and intercept form as follows;

-x + 2·y = 14

2·y = 14 + x

y = 14/2 + x/2 = x/2 + 7

y = x/2 + 7

The slope, m₁ = 1/2 and the y-intercept = 7

Therefore, the slope, m₂, of the perpendicular line to the line -x + 2·y = 14 which was rewritten as y = x/2 + 7 is m₂ = -1/m₁ = -1/(1/2) = -2

Therefore, we have that the slope of the line from A(-1/4, 5) to the line -x + 2·y = 14, is -2

The equation of the line is therefore;

y - 5 = -2(x - (-1/4))

y - 5 = -2·x - 1/2

y = -2·x - 1/2 + 5 = -2·x + 9/2

y = -2·x + 9/2

The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is therefore given as follows;

-2·x + 9/2 = x/2 + 7

9/2 - 7= x/2 + 2·x

-2.5 = 2.5·x

x = -2.5/2.5 = -1

x = -1

y = x/2 + 7 = -1/2 + 7 = 6.5

y = 6.5

The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is (-1, 6.5)

The distance from A(-1/4, 5) to B(-1, 6.5), is given as follows;

Where;

(x₁, y₁) = (-1/4, 5), and (x₂, y₂) = B(-1, 6.5)

Plugging in the values, we have;

Therefore, the distance from A(-1/4, 5) to the line -x + 2·y = 14 ≈ 1.7 units, rounding to the nearest tenth.

Answer:

Step-by-step explanation:

Answer:

for bus A if there is OVER 40 studentsbus b will cost less

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

Hoped this helped

slope = −2

Once you know the slope of the line, plug it in for m in y = mx +

Step-by-step explanation:

Answer: x=-5

The line is only at one x-value. The ine x- aloe the lien is at is -5. So, the equation is x=-5.

g(h) = -x - 4

g(5) = -5 - 4

g(5) = -(5 + 4)

g(5) = -9✓

I hope this helps

Answer:

4

Step-by-step explanation:

3.9 rounds to 4

hope this helps! :)

Answer:

0.2

Step-by-step explanation:

First you need to do 1.6-1.2 which is 0.4 so now you know 2x=0.4 you need to divide 0.4 by 2 which is 0.2 hope this helps

In a deck of 52 cards there are 4 Kings, 4 Queens and 4 jacks. So probability of drawing a good card is (4+4+4)/52 = 12/52 = 3/13.

ANSWER: 3/13

Step-by-step explanation:

-8 < -4x ≤ 12

-8/-4 < x ≤ 12/-4

2 < x ≤ -3

x ≤ -3 or x > 2

Option → A

Answer:

i cant really understand what its asking but heres how to do it,

Step-by-step explanation:

you want to plug the y, either 36 56 or 76 into where it says y=

then you do the same with the corresponding x intercept and then do basic algebra