Find the total cost to the nearest cent.


$ 15 lunch


tip: 20%

Answer:

8

Step-by-step explanation:

Let x = the unknown no.

Then

\(\frac{50}{20} = \frac{20}{x}\)

50x = 400

 x = 8

If the geometric mean of two numbers is 20, one number is 50 then the other number is 8

"The geometric mean is the average rate of return of a set of values calculated using the products of the terms."

Formula to calculate geometric mean is

\(GM = \sqrt{x_{1}.x_{2} }\)

Here,

GM = 20

\(x_{1}=50\\ x_{2} =?\)

Substitute the values in the formula

\(20=\sqrt{50.x_{2} }\)

Squaring on both sides

\(400=50(x_{2})\\ x_{2} =\frac{400}{50} \\x_{2}=8\)

Hence, the other number is 8.

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Answer:

-8

Step-by-step explanation:

10 -2b^2

Let b=-3

10 - 2( -3)^2

Do the exponent first

10 -2(9)

Multiply

10 -18

Subtract

-8

Answer:

- 8

Step-by-step explanation:

Given

10 - 2b² ← substitute b = - 3 into the expression

= 10 - 2(- 3)²

= 10 - 2(9)

= 10 - 18

= - 8

Answer:

5.5 glasses of water

Step-by-step explanation:

5.5 = 5.51.

5.51 = (5.5 × 10)(1 × 10) = 5510.

(55÷5)(10÷5) = 112 when reduced to the simplest form.

i.d.k how it is in fraction form sorry.

hope this helps!!

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.

To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.

Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.

Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.

Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.

Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.

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Answer:

$540

Step-by-step explanation:

Principle * Rate * Time = 540

Answer:

This is answer of 530.4 Q

Applying the physics of motion, the time now, when they are 111 miles apart, is 4:10 p.m.

Let the time taken for the trains to be 111 miles apart be T.

Then at that time, T, the faster train, which is 82 mph, should have traveled a distance of 82T miles.

D1 = 82T

At the same time, T, the slower train, which is 66 mph, should have traveled a distance of 66T miles.

D1 = 66T

The total distance traveled by both the trains is D1 + D2 = D = 82T + 66T.

D = 148T

From the data provided in the question, D = 111

Hence, 148T = 111

Solving the equation, the time T becomes

T = 111÷148

T = three and four hours

converting it into minutes,

T = 45 mins.

The current time = the time at which both the trains left + 45 mins.

The current time is 3:25 p.m. + 45 minutes.

The current time is 4:10 p.m.

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The length of the radius of the circle is 4.9cm.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.

Calculation for the length of the radius of the circle-

In order to overcome this issue, we must first translate the angle from radians to degrees.

The central angle of circle is 7/6π rads = 210 degrees.

Length of the arc is 18 cm.

The formula of length of an arc is given as-

\(l_{a r c}=\frac{\theta}{360} * 2 \pi r\)

Let's change the values and find the solution.

\(\begin{aligned}&18=\frac{210}{360} * 2 \pi r \\&18=3.663 r \\&r=\frac{18}{3.663} \\&r=4.9 \mathrm{~cm}\end{aligned}\)

Therefore, the length of the radius of the circle is 4.9 cm.

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\(5 \frac{3}{5} \% \: of \: 750\)

\(5 \frac{3}{5} = 5.6\)

\( \frac{5.6\%}{100} \times \frac{x}{750} \)

\( = 42%\)

Answer:-0.125 or 1/8

Step-by-step explanation: :)

Answer:

-1/8

Step-by-step explanation:

1/2 times -1/4 = -1/8

Answer: 46/100 or in its simplest form it would be 23/50

Step-by-step explanation:

Answer:

46/100

Step-by-step explanation:

It's just how you say the number.   forty six hundredths right,

Pls mark Brainliest

The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.

First, let's sort the data in ascending order:

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Next, we calculate the number of values to trim from each end:

10% of 15 (total number of values) = 0.1 * 15 = 1.5

Since we can't remove half a value, we round up to the nearest whole number, which is 2.

Now, we remove the two lowest and two highest values:

0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26

Finally, we calculate the mean of the remaining values:

(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027

Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.

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Answer:

hope it helps

Step-by-step explanation:

The equation represents a sphere with center (-4, 3, -1) and radius sqrt(26). So, the standard form of the sphere equation is (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2, where (h, k, l) is the center of the sphere, and r is the radius.

To show that the equation represents a sphere and find its center and radius, let's first convert the equation to the standard form of a sphere as follows:

x^2 + y^2 + z^2 + 8x - 6y + 2z + 17 = 0x^2 + 8x + y^2 - 6y + z^2 + 2z + 17 = 0

Completing the square by adding and subtracting the appropriate terms, we get:

(x^2 + 8x + 16) + (y^2 - 6y + 9) + (z^2 + 2z + 1) = 0 + 16 + 9 + 1(x + 4)^2 + (y - 3)^2 + (z + 1)^2 = 26

Therefore, the equation represents a sphere with center (-4, 3, -1) and radius sqrt(26). So, the standard form of the sphere equation is (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2, where (h, k, l) is the center of the sphere, and r is the radius.

In this case, we first converted the equation to the standard form by completing the square, and we got (x + 4)^2 + (y - 3)^2 + (z + 1)^2 = 26. Therefore, the center of the sphere is (-4, 3, -1), and its radius is the square root of 26.

It's worth noting that the general form of the sphere equation is x^2 + y^2 + z^2 + 2gx + 2fy + 2hz + d = 0,

where the center of the sphere is (-g, -f, -h), and the radius is sqrt(g^2 + f^2 + h^2 - d).

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Overall, the graphs would differ in their rate of growth or decay and damping, with the k2 > k1 case exhibiting faster growth or decay and damping.

An equation is a mathematical statement that shows that two expressions are equal. It typically contains variables, constants, and mathematical operators (such as +, -, *, /) and can be solved to determine the values of the variables that make the equation true. Equations are used extensively in mathematics, science, engineering, and other fields to model relationships between quantities and make predictions about their behavior. Some common types of equations include linear equations, quadratic equations, and differential equations.

Here,

The damped equation with terms e2k1t and e2k2t can be written as:

y(t) = Aeⁿ₁⁺ⁿ₂*ˣ + Beⁿ₁⁻ⁿ₂*ˣ

where A and B are constants.

The graph of this function would have an initial exponential growth or decay phase determined by the sign of (k1 + k2), followed by a damping effect determined by the sign of (k1 - k2).

If k2 > k1, then (k1 + k2) is positive, which means that the initial phase of the function would have a faster growth or decay than the case where k2 < k1. The damping effect would also be faster, since (k1 - k2) would be negative, causing the exponential terms to decay more rapidly.

In other words, if k2 > k1, the function would approach zero more quickly and the oscillations would be damped out faster compared to the case where k2 < k1. The amplitude of the oscillations would also be smaller in the k2 > k1 case.

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Answer:

1. x=a+b

2.k=-1/3m

3.b=1/2d+9/2

4.???

5.y=3h

6.-5/7+3/7d

7.5-7/2a

8.1/5w-4x

Step-by-step explanation:

hope this helps

To  plot the point (-6 2 , -6 2 ), we locate the x-coordinate -6 on the x-axis and then move upwards to the point where the y-coordinate is -2 on the y-axis.

When we are given the rectangular coordinates of a point, we can easily plot it on a graph. The rectangular coordinates of a point are in the form (x,y), where x represents the horizontal distance of the point from the origin, and y represents the vertical distance of the point from the origin.

In this case, the rectangular coordinates of the point are given as (-6 2 , -6 2 ). This means that the point is located 6 units to the left of the origin, and 2 units above the origin on the y-axis.

To plot this point on a graph, we can simply locate the x and y coordinates on their respective axes and mark the point of intersection.

First, we locate the x-coordinate -6 on the x-axis and then move upwards to the point where the y-coordinate is -2 on the y-axis. We mark this point with a dot and label it as (-6 2 , -6 2 ). This represents the point that is 6 units to the left of the origin and 2 units above the origin.

In summary, We mark this point with a dot and label it as (-6 2 , -6 2 ). This is how we can plot a point given its rectangular coordinates on a graph.

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The plotted point would be located at (-6, 2) on the rectangular coordinate plane.

To plot the point with rectangular coordinates (-6, 2), follow these steps:

To plot the point (−6 2, −6 2 ) with rectangular coordinates, start at the origin (0,0) and move 6 units to the left along the x-axis, then 2 units up along the y-axis to locate the point.
1. Begin at the origin (0, 0) on the coordinate plane.
2. Move 6 units to the left along the x-axis, since the x-coordinate is -6.
3. Move 2 units up along the y-axis, since the y-coordinate is 2.
4. Mark the point at the intersection of these coordinates with a dot or small circle.

The point (-6, 2) has now been plotted on the rectangular coordinate plane.

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First, we will make a list of the bacteria growth during each hour.

Start: 15

1st hour: 30

2nd hour: 60

3rd hour: 120

4th hour: 240

5th hour: 480

6th hour: 960

7th hour: 1920

8th hour: 3840

9th hour: 7680

10th hour: 15360

11th hour: 30720

12th hour: 61440

As you can see, the number of bacteria present is doubled at the end of each hour, as the question states.

However the question refers to the number of bacteria that grow in the twelfth hour and not the total number of bacteria in the twelfth hour.

So the answer will be the subtraction between the bacteria in the twelfth hour minus the bacteria in the eleventh hour.

In conclusion, the answer is 30720

Answer:

2.07

Step-by-step explanation:

I DID IT ON A CALCULATOR

The area of a 2D form is the amount of space within its perimeter. The area that is needed to be mowed by Brian is 2.07 acres.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.

The total area that is needed to mow is 7.84 acres. Given that Brian mows 1.291 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. Therefore, the area already mowed by Brian can be written as,

\(\rm \text{The area already mowed by Brian} = 1.291 + 0.85 + 3.63= 5.771\ acres\)

The area that is left to mow = Total area - Area already mowed by Brian

                                              = 7.84 - 5.771

                                              = 2.069 acres ≈ 2.07 acres

Hence, the area that is needed to be mowed by Brian is 2.07 acres.

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Answer:

average - $19,333.33

Step-by-step explanation:

$28,300, $27,000 , and $ 3,000

total =58,000/3 = 19,333.33

The equations that have a solution of c=1.5 are 4c=41.5 and 0.2c=0.3.

1. 4c=41.5:

  To find the value of c, divide both sides of the equation by 4:

  4c/4 = 41.5/4

  c = 10.375

  Since c is not equal to 1.5, this equation does not have a solution of c=1.5.

2. 150c=100:

  Divide both sides of the equation by 150:

  150c/150 = 100/150

  c = 0.6667

  Since c is not equal to 1.5, this equation does not have a solution of c=1.5.

3. 13.5-c=10:

  Subtract 10 from both sides of the equation:

  13.5 - 10 - c

  3.5 - c

  Rearrange the equation to isolate c:

  -c = -3.5

  Divide both sides by -1 (or multiply by -1):

  c = 3.5

  Since c is not equal to 1.5, this equation does not have a solution of c=1.5.

4. 6c=9:

  Divide both sides of the equation by 6:

  6c/6 = 9/6

  c = 1.5

  This equation has a solution of c=1.5.

5. 0.2c=0.3:

  Divide both sides of the equation by 0.2:

  0.2c/0.2 = 0.3/0.2

  c = 1.5

  This equation has a solution of c=1.5.

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The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

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The set {p, q, r, s} is linearly dependent if `a = -31` is found for the given linear combination of functions.

A set of functions is said to be linearly dependent if one or more functions can be expressed as a linear combination of the other functions.

Consider the given functions:

`p(x) = x³x²+2x+3,

q(x) = 3x³ + x²-x-1,

r(x) = x³ + 2x + 2`, and

`s(x) = 7x³ + ax² + 5`.

To show that these functions are linearly dependent, we need to find constants `c₁, c₂, c₃, and c₄`, not all zero, such that

`c₁p(x) + c₂q(x) + c₃r(x) + c₄

s(x) = 0`.

Let `c₁p(x) + c₂q(x) + c₃r(x) + c₄s(x) = 0`... (1)

We can substitute the given functions in this equation and obtain the following:

`c₁(x³x²+2x+3) + c₂(3x³ + x²-x-1) + c₃(x³ + 2x + 2) + c₄(7x³ + ax² + 5) = 0`... (2)

Let's simplify and rearrange the above equation to obtain a cubic equation in terms of `a`.

This is because we need to find the value of `a` for which there are non-zero values of `c₁, c₂, c₃, and c₄` that satisfy this equation.

`(c₁ + c₂ + c₃ + 7c₄)x³ + (c₁ + c₂ + 2c₄)x² + (2c₁ - c₂ + 2c₃ + ac₄)x + (3c₁ - c₂ + 5c₄) = 0`

The coefficients of this cubic equation should be zero for all `x` in the domain.

So, we have:

`c₁ + c₂ + c₃ + 7c₄ = 0` ...(3)

`c₁ + c₂ + 2c₄ = 0` ...(4)

`2c₁ - c₂ + 2c₃ + ac₄ = 0` ...(5)

`3c₁ - c₂ + 5c₄ = 0` ...(6)

Solving equations (3) to (6), we obtain:`

c₁ = -7c₄`

`c₂ = -2c₄`

`c₃ = -13c₄`

`a = -31`

Hence, the set {p, q, r, s} is linearly dependent if `a = -31`.

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Applying the leg rule, and solving algebraically, the lengths are determined as:

JG = 9

HJ = 12

The Leg rule states that when an altitude bisects the right angle of a right triangle and intersects the hypotenuse, then, hypotenuse/leg = leg/part.

Find length of JG using algebraic solutions and the leg rule:

Let JG = x

Hypotenuse = x + 16

Leg = 15

Part = x

Therefore:

(x + 16)/15 = 15/x (leg rule)

Cross multiply

x(x + 16) = (15)(15)

x² + 16x = 225

x² + 16x - 225 = 0

Factorize

(x + 25)(x − 9) = 0

x = -25 or x = 9

The length of JG (x) cannot be negative, therefore, the length of JG = 9.

Find length of JG using algebraic solutions:

Let HJ = y

Based on the altitude theorem, we would have:

y = √(16 × JG)

Substitute

y = √(16 × 9)

y = √(144)
y = 12

Therefore, the length of HJ is: 12.

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Answer:

answer is B

Step-by-step explanation:

i did it in e2022

person above me gets brainliest

The Multi-Step Campers can cut approximately 15 kite lines from the roll of string.

To determine the number of kite lines that can be cut from the roll of string, we need to convert the measurements to a consistent unit. Let's convert the length of the string roll and the kite line to yards.

Since 1 yard is equal to 3 feet, we have:

50 feet = 50/3 yards ≈ 16.67 yards (rounded to two decimal places)

Now, we can calculate the number of kite lines that can be cut from the string roll:

Number of kite lines = Total length of string roll / Length of each kite line

Number of kite lines = 250 yards / 16.67 yards ≈ 15

Therefore, the Multi-Step Campers can cut approximately 15 kite lines from the roll of string.

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The equation has infinite many solutions

The equation is given as:

12x + 1 = 3(4x + 1) - 2

Open the brackets

12x + 1 = 12x + 3 - 2

Evaluate the like terms

12x + 1 = 12x + 1

Both sides of the equation are the same

This means that the equation has infinite many solutions

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