Suppose that the water level of a river is 32 feet and that it is receding at a rate of 4 feet per day. Write an equation for the water level, y.
after x days. In how many days will the water level be 16 feet?

Select the correct equation and solution (You should pick two answers).

A) y = 4.0 + 32
B) y= -4x +32
C) 4 days
D) 8 days

Answer: $20,087

Step-by-step explanation: $18,950 times 0.06 is sales tax equals $1137 add that to 18,950 and you get 20,087.

Answer:

$20,087.

Step-by-step explanation:

Find out what 6% of $18,950 is. You will end up with $1,137. Next, add $1,137 to $18,950.

Hope this helps!

Answer:

4:5, 8: 10

Step-by-step explanation:

These are all the correct answers I believe

Answer:

4:5, 8 to10

Step-by-step explanation:

A) 16/2=8

    20/2=10

B)You can't divide 16 and 5 to get a whole number

   20/5=4

C) 16/2=8

    You can't divide 20 by something to get 18

D) Can't divide 16 to get 5

   Can't divide 20 to get 9

E) 16/4=4

   20/4=5

F) Can't divide 16 or 20 to get 10 or 8

Answer:

Part A

The coordinates of point Q that makes the distance between the two points have minimum value is (9/8, -15/8)

Part B

The distance  between P and Q at the closest point is approximately 1.287 units

Step-by-step explanation:

From the details given in the question, we have;

The curve along which point P is moving is, y = x² - 1

The (straight) line along which point Q is moving is, y = x - 3

The domain of the path of point P = All real numbers

The range of the path of point P = -1 < x ≤ ∞

The domain of the path of point Q = All real numbers

The range of the path of point Q = All real numbers

From the graph of the functions created with Microsoft Excel, we have that from point (0, 0) and moving to the positive x-axis, the slope of the path of P increases from 0 to ∞, while the slope of the path Q is constant and equal to 1

Given that the path of P is convex relative to the path of P, the two paths will be closest when they have equal  slopes

Therefore at the closest point, for the path of point P, we have;

d(x² - 1)/dx = 1 (the slope of the path of point Q)

2·x = 1

∴ x = 1/2 on the path of point P at the closest point the path of point P to the path of point Q

∴ y = x² - 1 = (1/2)² - 1 = -3/4

y = -3/4

Given that two paths are parallel at the closest point, distance between the two paths is the perpendicular distance from the line y = x - 3 to the point (1/2, (-3/4)), which is given as follows;

∴ The slope of the line representing the perpendicular distance between the two paths = -1

Therefore, the equation of the line in point and slope form is given as follows;

y - (-3/4) = -1 × (x - 1/2)

y = -x + 1/2 - 3/4 = -x - 1/4

y = -x - 1/4

At the coordinates of point Q that makes the distance between the two points have minimum value, we have;

-x - 1/4 = x - 3

∴ 2·x = 3 - 3/4 = 2 1/4 = 9/4

x = 9/8

y = x - 3 = 9/8 - 3 = -15/8

Therefore, the coordinates of point Q that makes the distance between the two points have minimum value = (9/8, -15/8)

Part B

The formula for the length between two points is

[tex]l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The distance, d, between P and Q at the closest point is given as follows;

d = √(((9/8) - (1/2))² + ((-15/8) - (-3/4))²) = √(53/32) ≈ 1.287

The distance  between P and Q at the closest point, d ≈ 1.287

Answer:

The correct answer is C: 5

Step-by-step explanation:

5/1 = 5

Answer:

5800 yd²

Step-by-step explanation:

Area of trapezoid = area of the land = ½(a + b)×h

Where,

a = 250 yds

b = 330 yds

h = 20 yds

Thus,

Area = ½(250 + 330) × 20

Area = 5800 yd²

Answer:

153.28

Step-by-step explanation:

Hope this helps!

Answer:

100. degrees was right for me so it could be for you

Answer: D, -13<-10

Step-by-step explanation:

Which ever way the open part of the '<' is facing, means that it is greater than the other number.

-13 is smaller than -10 so the open part of the symbol would face towards -10 and the pointy part would fact towards the -13.

Hope this helps :)

Answer:

i go for 3

Step-by-step explanation:

Answer:

1. x > 17

Step-by-step explanation:

When the point on the graph is an open circle you are going to be using < or > as an open circle means greater than or less than

Immediately we can eliminate number 3 and 4

When the line is going in the direction of the right than the inequality sign will face the variable (x)

the numbers are getting larger meaning that x is greater than the constant (17)

Hence, your answer is x > 17

Extra notes:

when the point on the graph is a closed circle ( filled in ) then you will use ≤ or ≥ as a closed circle means greater than or equal to or less than or equal to

Answer:

1. x > 17

Step-by-step explanation:

I          l         l        l    

17      18      19      20

-------------------------------->

Hope this helps

There are exactly 360° in a circle, so the angle measure would be 3/360 * 360 = 3°.

Answer:

14 installatons

42 service calls

Step-by-step explanation:

Let x = no. of new installations

      y = no. of service calls

(1)    x + y = 56           (2)    450x + 75y = 9450

            y = 56 - x               450x + 75(56 - x) = 9450

                                           450x + 4200 - 75x = 9450

                                            375x = 5250

                                                   x = 14 installatons

             y = 56 - 14 = 42 service calls

The number of installations are 14 and number of service calls are 42

Two or more expressions with an Equal sign is called as Equation.

Given,

An air-conditioning company counted 56 invoices at the end of the month.

For installation it charges  $450 and $75 for a service call.

Let x be number of installations

y be number of service calls

x+y=56...(1)

and 450x+75y=9450..(2)

From equation 1

x=56-y

Now substitute x value in equation 2

450(56-y)+75y=9450

Apply distributive property

25200-450y+75y=9450

25200-375y=9450

Subtract 25200 from both sides

-375y=9450-25200

-375y=-15750

Divide both sides by 375

y=42

Now put y value in equation 1

x+42=56

x=14

Hence, the number of installations are 14 and number of service calls are 42

To learn more on Equation:

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Answer:

x+44

Step-by-step explanation:

Answer:

∠C = 36.87°

Step-by-step explanation:

tan C = 3/4 = 0.75

∠C = 36.87°

Given:

The figure of a triangle RST on a coordinate plane.

To find:

The perimeter of the triangle RST.

Solution:

From the given graph it is clear that the vertices of the given triangle are R(-2,7), S(-5,1) and T(-7,-5).

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get

[tex]RS=\sqrt{\left(-5-\left(-2\right)\right)^2+\left(1-7\right)^2}[/tex]

[tex]RS=\sqrt{\left(-5+2\right)^2+\left(1-7\right)^2}[/tex]

[tex]RS=\sqrt{\left(-3\right)^2+\left(-6\right)^2}[/tex]

on further simplification, we get

[tex]RS=\sqrt{9+36}[/tex]

[tex]RS=\sqrt{45}[/tex]

[tex]RS=3\sqrt{5}[/tex]

Similarly,

[tex]ST=\sqrt{\left(-7-\left(-5\right)\right)^2+\left(-5-1\right)^2}[/tex]

[tex]ST=2\sqrt{10}[/tex]

[tex]RT=\sqrt{\left(-7-\left(-2\right)\right)^2+\left(-5-7\right)^2}[/tex]

[tex]RT=13[/tex]

Now, the perimeter of the triangle RST is

[tex]Perimeter=RS+ST+RT[/tex]

[tex]Perimeter=3\sqrt{5}+2\sqrt{10}+13[/tex]

[tex]Perimeter=26.032759[/tex]

[tex]Perimeter\approx 26.0[/tex]

Therefore, the perimeter of the triangle RST is 26.0 units.

what do you want me to answer?

Answer:

27.71 square units

Step-by-step explanation:

The shaded region is a triangle;

Area of a triangle = 1/s * base * height

base = 16/2 = 8

To get the height, you will use the pythagoras theorem

h^2 = 8^2 - 4^2

h^2 = 64 - 16

h^2 = 48

h = 6.93

Area of the shaded region = 1/2 * 8 * 6.93

Area of the shaded region = 4 * 6.93

Area of the shaded region = 27.71 square units

Answer:

from the left the right it should look like this;

4, 1, 2800, 7, 400

Answer:

40%

Step-by-step explanation:

I divided 10 by 25.

25 is the total amount of brownies.

10 is the amount of caramel brownies.

Answer:

40%

Step-by-step explanation:

Answer:

(n + 6)(n - 2)

Step-by-step explanation:

Given

n² + 4n - 12

Consider the factors of the constant term (- 12) which sum to give the coefficient of the n- term (+ 4)

The factors are + 6 and - 2 , since

6 × - 2 = - 12 and 6 - 2 = + 4

Then

n² + 4n - 12 = (n + 6)(n - 2) ← in factored form

Answer:

Friday

Step-by-step explanation:

Thursday 7/2 ÷ 4 = 7/8 inches an hour (.875)

Friday 8 ÷ 9 = 8/9 inches an hour (.888)

Friday it was snowing faster

Answer:

Friday

if Thursday snowed 3½ inch 4 hours

then for Friday

9 ÷ 8 = 1.125 inches for one hour

1.125 × 4 = 4.5 inches for 4 hours

1.25 inches more than Thursday. So, the answer is Friday ^^

R(x) is a polynomial. Thus, the domain is the same as the range.

Domain = range = ALL REAL NUMBERS.

We can also express the answer as

(-infinity, infinity).

The domain of the function is,

Domain = (x | x ∈ IR }

And, The range of the function is,

Range = (y | y ∈ IR }

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ R (x) = 4(x³ + 6x² + 5x - 4)

Now, We can draw the graph of function R (x) = 4(x³ + 6x² + 5x - 4) and By graph, we get;

The domain of the function is,

Domain = (x | x ∈ IR }

And, The range of the function is,

Range = (y | y ∈ IR }

Thus, The domain of the function is,

Domain = (x | x ∈ IR }

And, The range of the function is,

Range = (y | y ∈ IR }

Learn more about the function visit:

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Answer:

she will have to give 2.8 liters

Step-by-step explanation:

Answer:

Step-by-step explanation:

c is the number of cloth gloves sold.

r is the number of cloth gloves sold.

c + r =127

c = 127 - r

6.95c + 8.95r = 1070.65

6.95(127 - r) + 8.95r = 1070.65

882.65 + 2r = 1070.65

r = 94

c = 33

Answer: Yes, [tex]15\ m^2[/tex]

Step-by-step explanation:

Given

The surface area of the house [tex]A=500\ m^2[/tex]

Ayden aims to finish 80% of the painting

The actual painting done by him is [tex]A_c=415\ m^2[/tex]

Now 80% of the total is

[tex]\Rightarrow A'=500\times \dfrac{80}{100}=400\ m^2[/tex]

Clearly, actual painting done is more than 80% of the painting

[tex]\therefore[/tex] Ayden meet his goal

[tex]\Rightarrow A_c-A'=415-400=15\ m^2[/tex]

He painted [tex]15\ m^2[/tex] more than his target

Answer:

it is 5

Step-by-step explanation:

Answer:

n = 15

Step-by-step explanation:

10 x 15 = 150.

Hope this helps!

Answer:

Step-by-step explanation:

Begin by dividing by 5

2x + 4 = 3            

Is this written as 2^(x + 4) = 3? I think it is.

Take the log of both sides

log 2^(x + 4) = log(3)

(x + 4) * log(2) = log 3

log 2 = 0.30103

log 3 = 0.47712

(x + 4) = log2 / log3

x + 4 = 0.63093               Add 4 to both sides

x = -3.369                        Rounded to the nearest thousandth

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

If you mean the question exactly as it is written (the 4 is not part of the power)

5(2^x + 4) = 15

2^x + 4 = 3

2^x = 3 - 4

2^x = - 1

This can't be done 2 to any power should be >0.

if x>0 then this will give an ever increasing number

if xK0 then this will give an ever decreasing answer but still greater than 0.

No value will make 2^x go to something minus.

If I have misread this in some way, leave a note and I will get back to you.

Answer: -2.415

Step-by-step explanation: Edge 2022