Amy had $80 to spend on a filter. She spent 20% of the money on a filter and paid $16 to a plumber to install it. What is the percentage of the money she is left with

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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Answer:

The answer is -22 because when you subtract -8 from -14 it gives you -22.

Hope this helps!

Answer:

Step-by-step explanation:

There's no diagram and no question, but I assume it shows a right triangle.

distance = √(14²+13²) = √365 ≅ 19.1 miles

In this case, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature.

Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.In this case, the patient is exhibiting symptoms of dehydration, including vomiting and minimal intake, which may result in hypovolemic shock. The patient is also experiencing severe abdominal distention and pain, which may indicate a gastrointestinal obstruction or perforation. These symptoms can be life-threatening and require immediate intervention by the nurse. Therefore, the nurse should perform a complete physical examination to determine the cause of the patient's symptoms. This examination should include a detailed abdominal assessment, such as auscultation for bowel sounds, palpation for tenderness and rigidity, and percussion for the presence of ascites. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. The nurse should also monitor the patient's urine output to ensure adequate fluid replacement and to detect any signs of renal failure. The nurse should administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.

In conclusion, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.

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Answer:

C) problem-solution

Step-by-step explanation:

The writer would give the problem:

dangerous levels of pollution in our oceans

and then the solution:

how people can reduce these levels

Answer:

C) problem-solution

Step-by-step explanation:

If this helped mind giving me a like?

Answer:

  √330

Step-by-step explanation:

The product of radicals is the radical of the product.

  (√6)(√11)(√5) = √(6·11·5) = √330

__

This cannot be simplified, because there are no square factors.

Answer:

3 weeks. 5+10=15

because in 2 weeks he will have 30 dollars plus the 5 dollars he already has is 35 dollars but, that is not enough he needs one more week.

If the base of the exponent in an exponential growth function were 1, the function would become constant, with a fixed value of 1 regardless of the value of x.

In exponential growth functions, the base of the exponent represents the factor by which the function grows at each step. When the base is greater than 1, the function experiences exponential growth, with the values increasing rapidly over time. However, if the base of the exponent were 1, the function would change significantly.

When the base of the exponent is 1, the function becomes constant. This is because any number raised to the power of 1 remains unchanged. Therefore, if the base is 1, the exponential function will have a constant value and will not exhibit any growth or decay.

Mathematically, an exponential function with a base of 1 can be represented as:

f(x) = 1^x

No matter what value of x is used, the result will always be 1. For example, if we substitute different values for x, such as x = 2 or x = -3, we get:

f(2) = 1^2 = 1

f(-3) = 1^(-3) = 1

In both cases, the result is always 1.

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Step-by-step explanation:

SA=2*(12*6+12*4+6*4)

SA=2*(72+48+24)

SA=2*144

SA=288

Answer:

\(Cranberry:Apple:Orange = 7:5:8\)

Step-by-step explanation:

Given

\(Apple = 1/4\)

\(Orange = 2/5\)

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

\(Cranberry + Apple + Orange = 1\)

Substitute values for Apple and Orange

\(Cranberry + 1/4+ 2/5= 1\)

Collect Like Terms

\(Cranberry = 1- 1/4- 2/5\)

Take LCM

\(Cranberry = \frac{20 - 5 - 8}{20}\)

\(Cranberry = \frac{7}{20}\)

The ratio is then represented as:

\(Cranberry:Apple:Orange = 7/20:1/4:2/5\)

Multiply through by 20

\(Cranberry:Apple:Orange = 20(7/20:1/4:2/5)\)

\(Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5\)

\(Cranberry:Apple:Orange = 7:5:8\)

The required answer is the equation of the tangent line to the function at the point (2, f(2)) = (2, 4) is y = 6x - 8.

To find the equation of the tangent line to the function at the point (2, f(2)) = (2, 4), we need to first find the derivative of the function at x = 2.
Assuming we have the original function loaded in content, we can find the derivative as follows:
f(x) = x^2 + 2x
f'(x) = 2x + 2

The tangent line touched the a curve can be made more explicit by considering the sequence of straight lines passing through two points, A and B, those that lie on the function curve. The tangent at is the limit when points ,approximates or tends .

If two circular arcs meet at a sharp point  then there is no uniquely defined tangent at the vertex because the limit of the progression of secant lines depends on the direction in which "point B" approaches the vertex.

The existence and uniqueness of the tangent line depends on a certain type of mathematical smoothness, known as "differentiability."
Now we can plug in x = 2 to find the slope of the tangent line at that point:
f'(2) = 2(2) + 2 = 6
So the slope of the tangent line is m = 6.
To find the y-intercept (b) of the tangent line, we can use the point-slope form of a line:
y - y1 = m(x - x1)
Plugging in the point (2, 4) and the slope we just found, we get:
y - 4 = 6(x - 2)
Simplifying and solving for y, we get the equation of the tangent line in slope-intercept form:
y = 6x - 8
Therefore, the equation of the tangent line to the function at the point (2, f(2)) = (2, 4) is y = 6x - 8.

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The solution to the inequality are the region in the shaded area and the graph is attached

From the question, we have the following parameters that can be used in our computation:

y ≥3(0.8)^x

y ≥ x² - 5

Represent properly

y ≥ 3(0.8)^x

y ≥ x² - 5

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)

None of the options represent the shaded area (see attachment)

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When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when the advances are not given for shows. This is to ensure that the performer is fully committed to performing at the event and to cover any expenses that may be incurred in the process.

The advance fee is usually non-refundable and is paid by the promoter or venue operator to the booking agent. This is to show their commitment to the performer and to demonstrate that they are serious about booking them for the event. The remaining balance is then usually paid on the day of the performance or shortly after.

The booking agent should also ensure that all parties involved in the booking are aware of the terms and conditions and have signed a contract or agreement to confirm their agreement.

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The inverse of a function can be found by swapping the numbers in each ordered pair of the function.

When you have a function with ordered pairs, the inverse of that function can be found by reversing the order of the numbers within each pair. In other words, if you have a function f(x) with ordered pairs (a, b), the inverse function, f^ (-1) (x), will have ordered pairs (b, a). This process essentially switches the input and output values of the original function.

To find the inverse of a function, simply swap the numbers in each ordered pair, resulting in the ordered pairs for the inverse function.

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There are 62,352 five-digit numbers that have at least one digit occurring more than once.

To determine the number of five-digit numbers that have at least one digit occurring more than once, we can use the principle of inclusion-exclusion.

Step 1: Calculate the total number of five-digit numbers.

Since the first digit cannot be zero, we have 9 choices (1-9) for the first digit. The remaining four digits can be any of the ten digits (0-9). Therefore, the total number of five-digit numbers is 9 * 10^4 = 90,000.

Step 2: Calculate the number of five-digit numbers with no repeated digits.

For the first digit, we have 9 choices (1-9). For the second digit, we have 9 choices (excluding the digit chosen for the first digit). For the third, fourth, and fifth digits, we have 8, 7, and 6 choices, respectively. Therefore, the number of five-digit numbers with no repeated digits is 9 * 9 * 8 * 7 * 6 = 27,648.

Step 3: Calculate the number of five-digit numbers with at least one repeated digit.

Using the principle of inclusion-exclusion, we can subtract the number of five-digit numbers with no repeated digits from the total number of five-digit numbers:

Number of five-digit numbers with at least one repeated digit = Total number of five-digit numbers - Number of five-digit numbers with no repeated digits

                                                              = 90,000 - 27,648

                                                              = 62,352

Therefore, there are 62,352 five-digit numbers that have at least one digit occurring more than once.

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Given an angle that is positive, less than 360°, and coterminal with 395° is 35°.

Subtract 360° from 395°.

We know that 1 revolution is equal to 360°.

Therefore, a positive angle that is less than 360° and coterminal with 395° is 35°.

When an angle is less than 360° and shares the same terminal side with another angle that is less than 360°, then the angle is referred to as a coterminal angle.

In other words, the two angles have the same initial side and terminal side but can be either positive or negative.

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Answer:

Temperature changes throughout the hours of a day. Early in the morning, temperature increases slowly. At noon, the temperature rises sharply. During the afternoon, the temperature stays the same for several hours. As night falls, the temperature decreases slightly. Choose the graph that best represents this situation,​

Step-by-step explanation:

the answer is D

Answer:

z = − 5 + 7i

Step-by-step explanation:

z + 14 - 5i = 9 + 2i
Subtract 14 from both sides.

z - 5i = 9 + 2i -14
Subtract 14 from 9 to get -5.

z - 5i = -5 +2i
Add 5i to both sides.

z = -5 + 2i + 5i
Combine real and imaginary parts.

z = -5 + (2+5)i
Add 2 to 5.

z = -5 + 7i

Hope this helps!

Answer:

7i - 5

Step-by-step explanation:

z + (14 - 5i) = 9 + 2i

=> z + 14 - 5i = 9 + 2i

=> z = 9 + 2i + 5i - 14

=> z = 7i - 5

Answer:

y = 2x + 14

Step-by-step explanation:

Answer:

y = 2x + 14

Step-by-step explanation:

Use the slope equation:

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

\(m = \frac{6-(-2)}{-4-(-8)}\\m = \frac{8}{4}\\m = 2\)

Next, find the y-intercept by subbing in one of the points and the slope into what you have so far in the equation:

(-8, -2)

y = mx + b

-2 = 2(-8) + b

-2 = -16 + b

-2 + 16 = b

b = 14

Now you have your final equation:

y = 2x + 14

Answer:

D

Step-by-step explanation:

Reflection across the x axis

This is your answer because it is reflection on the x axis

Hope this helps u :)

Pls mark brainlist

The transformation shown from Triangle P to Triangle Q is Translation.

A transformation  is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Given that,  Triangle P is transformed to Triangle Q.

The transformation shown is a translation transformation, because in a translation transformation, all the points in the object are moved in a straight line in the same direction.

Hence, The transformation shown from Triangle P to Triangle Q is Translation.

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In given lines, y = -1/4 x + 7 represents a transversal line.

A transversal is a line that, at two different locations, cuts through two lines in the same plane. Various types of angles in pairs, including successive internal angles, corresponding angles, and alternate angles, are produced by a transversal intersection with two lines.      

Here we have

y = 1/6x - 3  ---- (1)    

y = -1/4 x + 7 ---- (2)  

y = 1/6x - 9 ---- (3)        

Here given lines are in y = mx + c form

The slope of the line (1) is 1/6

The slope of the line (2) is -1/4

The slope of the line (3) is 1/6

As we can see that line (1) and line (3) have the same slope,

Hence, Lines (1) and (3) are two parallel lines

where Line (2) is transversal which cuts the given two parallel lines  

Therefore,

In given lines, y = -1/4 x + 7 represents a transversal line.

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Answer:

fhiuqhficu3f

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

take 2 divides with 0.5 to found out how many  it took to run out of fuel

hours

Thus, the total surface area of the given triangular prism is found to be:

A = 232  ft².

A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces.

The name "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular.

The dimension of the prism is shown:

Perimeter =  sum of bases

P = 7 + 5 +5 = 17

P = 17 ft

Curved surface area = perimeter x height

                               = 17 × 8

                              = 136 ft²

Base area shown triangular prism = 1/2 *h (b1 + b2)

= 1/2 * (5 + 7)

= 48 ft²

Now,

Total surface area of shown triangular prism:

A = P*h + 2* base area

A = 136 + 2*48

A = 232  ft²                            

Thus, the total surface area of the given triangular prism is found to be:

A = 232  ft².

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Complete question:

Find the total surface area of the prism.

7 ft

8 ft

5 ft

5 ft

The picture is attached:

The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

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Friend is incorrect and the permutations rule should be used instead of just 5!.

Permutations are a process in which the order of items in a set matters. In other words, it refers to the different arrangements that can be made by selecting r items from n different objects, without repeating any of them.

Calculating permutations manually can be time-consuming.

However, the permutations rule simplifies the process.

The permutations rule states that the number of permutations of n distinct objects, taken r at a time, is equal to

nPr = n!/(n-r)!,

where "n" represents the total number of distinct objects and

"r" represents the number of items selected for each arrangement.

So, if you want to find the number of arrangements possible for five distinct letters, you need to use the permutation rule and not just 5!.

This is because 5! represents the number of ways to arrange five distinct objects (letters) in a line, without restrictions, meaning that the same letter can appear twice, or more, in the arrangement.

However, if the five distinct letters are taken two, three, four, or five at a time, then the permutations rule would have to be used.

For example, the number of different arrangements of two letters out of five distinct letters is equal to

5P2 = 5!/3!

= 5 × 4

= 20.

Therefore, your friend is incorrect and the permutations rule should be used instead of just 5!.

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Answer:

Number of stickers per page = 8

Number of stickers in total = 72

Equation to find the number of pages of stickers in Jenny's notebook =

\(72 \div 8\)

=> Option D is correct.

Answer:

72 / 8 = 9.

Step-by-step explanation:

The keyword here is "EACH."

Each means to divide/separate.

So to find out how many stickers would go on each page, division is necessary.

72 / 8 = 9.

To make sure your answer is correct, you can use inverse operation.

9 x 8 = 72.

Therefore, 72 / 8 can be used to find the number of pages of stickers in Jenny's notebook..

The equivalent radian measure for 10 degrees is approximately 0.1745 radians.

To find the equivalent radian measure for 10 degrees using the given proportion, we can set up the equation:

d/180° = r/π radians

Plugging in 10 degrees for d, the equation becomes:

10°/180° = r/π radians

Simplifying the left side of the equation:

1/18 = r/π radians

To find the value of r, we can cross-multiply:

r = (1/18)  π radians

Calculating the right side of the equation:

r ≈ 0.1745 radians (rounded to four decimal places)

Therefore, the equivalent radian measure for 10 degrees is approximately 0.1745 radians.

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The description below proves that the perpendicular drawn from the vertex angle to the base bisect the vertex angle and base.

Let ABC be an isosceles triangle such that AB = AC.

Let AD be the bisector of ∠A.

We want to prove that BD=DC

In △ABD & △ACD

AB = AC(Thus, △ABC is an isosceles triangle)

∠BAD =∠CAD(Because AD is the bisector of ∠A)

AD = AD(Common sides)

By SAS Congruency, we have;

△ABD ≅ △ACD

By corresponding parts of congruent triangles, we can say that; BD=DC

Thus, this proves that the perpendicular drawn from the vertex angle to the base bisect the vertex angle and base.

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The Car's first error is :

Cara subtracted 2 from 6 incorrectly.

Cara subtracted 2 from 6 incorrectly.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.

Calcular los dos primeros términos: 4 *(-6)/3+(-4)²-2*(6-2)

Calcular los dos primeros términos: 4 *(-6)/3+(-4)²-2* 4

Reducir la fracción al término menor, cancelando el máximo factor común:-4 * 2 (-4)²-2 * 4

Calcular la potencia:-4 * 2+16-2*4

Calcular los dos primeros términos:-8 + 16-2*4

Calcular los dos primeros términos:-8+16-2*4

Calcular los dos primeros términos:8-8

Calcular los dos primeros términos:0

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