David has 11 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating and 2F. Then grab your equation using the axes below

Answer:

A and E.

Step-by-step explanation:

The distance between two endpoints on a plane is given by the formula \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

To be honest, there are only two mutations we can commit on the formula, and those are changing the order of the terms inside of the brackets, as \((a - b)^2 = (b - a)^2\). As well as changing the order of the brackets, as \(a + b = b + a\).

Therefore, the two valid answers would be those that follow one of the following formulas:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\\\\d = \sqrt{(y_1 - y_2)^2 + (x_1 - x_2)^2}\)

Those formulas match options A and E.

Answer:

True

Step-by-step explanation:

The legs of an isosceles trapezium are congruent

Answer:

x=26°, y=26°, z=26°

Step-by-step explanation:

x+74=100 (the sum of linear pair)

x=100-74

x=26

x=y=26 (alternate angle)

y=z=26 (vertically opposite angle V.O.A)

Target: 0.222941176 Per Oz

Jewel: 0.175882353 Per Oz

Assuming your teacher isn't a maniac she's going to round to the nearest cent. In this case, Target charges (about) 22 cents per Oz. Jewel charges (about) 18 Cents per Oz. This is 0.22 Dollars and 0.18 Dollars if she wants it in dollars and not cents.

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

As you have indicated, you want to multiply both sides of the equation by 6x.

  \(\dfrac{1}{x}=\dfrac{1}{6}+\dfrac{1}{3}\qquad\text{given}\\\\\left(\dfrac{1}{x}\right)\cdot6x=\left(\dfrac{1}{6}+\dfrac{1}{3}\right)\cdot6x\qquad\text{multiply by 6x}\\\\6=x+2x\qquad\text{simplify}\\\\6 = 3x\qquad\text{collect terms}\\\\\dfrac{6}{3}=x\qquad\text{divide by the coefficient of $x$}\\\\\boxed{x=2}\)

_____

Additional comment

The denominator on the left is x. The least common denominator on the right is 6. To clear fractions, you can multiply by the product of these values: 6x. Doing this gave us the one-step linear equation 6 = 3x.

As with any operation performed on an equation, the operation must be performed on both sides of the equation. Here, we multiply both sides by 6x. It is a bit unconventional and confusing to show that multiplication as you have shown it in your figure. Usually, it would be shown as in the 2nd line of the solution, above.

Answer:

twenty one fifths or 21/5

Step-by-step explanation:

12/5= 2 2/5

7/4= 1 3/4

4.2= 21/5

Answer:

The population of Tokyo is 50 times larger than that of Detroit.

Step-by-step explanation:

The population of Tokyo in 2011 was 3.5 x 10^7 (35,000,000) and the population of Detroit was 7 x 10^5 (700,000).

To calculate how many times larger the population of Tokyo is than that of Detroit, we can divide the population of Tokyo by the population of Detroit:

Population of Tokyo / Population of Detroit = (3.5 x 10^7) / (7 x 10^5)

Simplifying this expression, we get:

Population of Tokyo / Population of Detroit = 50

Therefore, the population of Tokyo is 50 times larger than that of Detroit.

Answer:

\(\frac{\frac{1}{4}}{1}=\frac{\frac{5}{6}}{x}\)

Step-by-step explanation:

Per = 1

\(\frac{1}{4}\)

So, if we were to solve:

\(\frac{1}{4}=\frac{5}{6x}\)

\(\frac{1}{4}\cdot \:6x=1\cdot \:5\)

\(\frac{3}{2}x=5\)

\(\frac{3}{2}x\cdot \:2=5\cdot \:2\)

\(3x=10\)

\(\frac{3x}{3}=\frac{10}{3}\)

\(x=\frac{10}{3}\)

Troy can make \(\frac{10}{3}\) dozen of cupcakes.

Answer:

\(T_f=9^{\circ} F\)

Step-by-step explanation:

It is given that,

Initial temperature, \(T_i=3^{\circ} F\)

The decrease in temperature when she woke up is, \(\Delta T=6^{\circ} F\)

We need to find the temperature when Ava woke up.

Change in temperature = final temperature-initial temperature

\(6\ ^{\circ}F=T_f-3^{\circ}F\\\\T_f=9^{\circ} F\)

So, when she woke up the temperature was 9°F.

The temperature when Ava woke up is -3°F

Integers come in three types:

Given:

When Ava went to bed, the temperature was 3°F.

and, When she woke up, the temperature had decreased by 6°F.

So, the temperature when Ava woke up

= 3 - 6

= -3°F

Hence, the temperature when Ava woke up is -3°F

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The required tally table is

Interval     Tally       Frequency

0-4                -                   0

5-9               | |                   2

10-14            | |                   2

15-19            ||||                  4

20-24         ||||| ||||               9

25-29            |||                  3

To create a tally table, follow these steps:

1. Write down the intervals or categories for the data.

2. Create a tally mark (a vertical line) for each observation that falls into that interval/category.

3. After every fifth tally mark, draw a diagonal line across the previous four tally marks to make counting easier.

4. Add up the total number of tally marks in each interval/category to determine the frequency.

Here we have

The data is 20, 27, 5, 6, 29, 7, 17, 11, 18, 5, 15, 17, 20, 27, 22, 13, 6, 28, 27, 23, 24, 17

To make the tally table follow the above steps

Hence, we will get the following tally and frequency table

Interval     Tally       Frequency

0-4                -                   0

5-9               | |                   2

10-14            | |                   2

15-19            ||||                  4

20-24         ||||| ||||               9

25-29            |||                  3

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Answer:

D

Step-by-step explanation:

1 is greater than -1

Hope this helps :)

Answer: H = 3t + 8

Step-by-step explanation:

Given the following :

Initial height of plant = 8 inches

Rate of growth = 3 inches per month

Let H = height of plant ; t = time in months

Expression to represent the height, H, t months after purchase ;

Height of plant after t months will be ;

Initial height which is a constant is added to the rate of growth multiplied by the number of months after purchase.

Mathematically,

H = 8 + (3 × t)

H = 3t + 8

Answer:

H= 10+4t

Step-by step explanation:

The y-intercept of the function is 10 which represents the initial height of the plant when it was purchased.

that is the correct answer^^^

The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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It will take them 2 hours to do the whole task if they work together.

If one person can do a task in 3 hours and another person can do the same task in 6 hours, then we can calculate their individual rates of work as follows:

The first person can do 1/3 of the task per hour (since it takes them 3 hours to do the whole task).

The second person can do 1/6 of the task per hour (since it takes them 6 hours to do the whole task).

When they work together, their rates of work will add up, so their combined rate of work is:

1/3 + 1/6 = 1/2

This means that working together, they can do 1/2 of the task per hour. To find out how long it will take them to do the whole task, we can use the formula:

time = work ÷ rate of work

Since the whole task is 1 unit of work, and their combined rate of work is 1/2 units per hour, we can plug in these values to get:

time = 1 ÷ (1/2) = 2 hours

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Answer:

13

Step-by-step explanation:

Answer:

Same-side interior angles

x = -5

Step-by-step explanation:

Since the transversal already perpendicular bisects both parallel lines, x + 95 is set to 90. Therefore, you get -5 for x.

Answer:

the relationship is transversal

Step-by-step explanation:

The red box means 90 degrees

therefore since the relationship is transversal

x + 95 =90

x = 90-95

x = -5

Frequency distributions can show absolute or relative frequencies, such as percentages or proportions.

Organizing and presenting frequency counts in a way that makes them easier to understand is done through frequency distributions, which are visual displays. Absolute or relative frequencies, such as percentages or proportions, can be displayed in frequency distributions.

The number of people in each category on the measuring scale is arranged by tabulation or graphic representation in a frequency distribution. The full data set can be simply viewed by the researcher thanks to this.

An ordered tabulation of how many people fall into each group on a scale of measurement is known as a frequency distribution. Both a table and a graph can be used to arrange a frequency distribution, although both display the same two components: 1.

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Answer:

AA similarity postulate

Explanation:

For triangle XZY, the angles are 90°, 40°, 50°.

For triangle AXB, the angles are 90°, 40°, 50°.

Which states that all the angles are of equal measure in the triangles.

This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.

The longest side of a quadrilateral with length of consecutive even integers is 26 feet.

The lengths of the four sides of a quadrilateral (in feet) are consecutive even integers.

A quadrilateral is a polygon with 4 sides.

Therefore, the sides are consecutive even numbers.

Hence,

smallest side = x

Therefore, perimeter is the sum of the whole sides of the quadrilateral.

x + x + 2 + x + 4 + x + 6 = 92

4x + 12 = 92

4x = 92 - 12

4x = 80

x = 80 / 4

x = 20

Therefore, the longest side of the quadrilateral is 20 + 6 = 26 ft.

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When solving a problem involving fractions, it's important to understand the meaning of the numerator and denominator. The numerator represents the part of the whole that we are interested in, while the denominator represents the total number of equal parts that the whole is divided into.

Let's say we have a fraction 2/5. The denominator 5 indicates that the whole is divided into 5 equal parts, while the numerator 2 indicates that we are interested in 2 of those parts.

Therefore, the fraction 2/5 represents the ratio of 2 out of 5 equal parts of the whole.To answer a question involving fractions with a denominator of 200, you need to know that the whole is divided into 200 equal parts.

Then you can use the numerator to represent the specific part of the whole that is being referred to in the question.For example, let's say a question asks what is 1/4 of the whole when the denominator is 200.

We know that the whole is divided into 200 equal parts, so we can set up a proportion:1/4 = x/200To solve for x, we can cross-multiply:

4x = 1 x 2004x = 200x = 50

Therefore, 1/4 of the whole when the denominator is 200 is 50. In this way, you can approach any question involving fractions with a denominator of 200 or any other number by understanding the meaning of the numerator and denominator and setting up a proportion.

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Answer:

scientific notation

= 2.34e8

scientific e notation

= 234 × 106

engineering notation

million; prefix mega- (M)

= 2.34 × 108

standard form

8

Order of Magnitude

for scientific and standard forms

= 234000000

(real number)

= two hundred thirty-four million

word form

Step-by-step explanation:

Answer:

11.8

Step-by-step explanation:

Rounding 59.03 you get 59.
20% of 59 = 11.8
11.8 = the tip.

The equation "Negative StartFraction 7 over 8 EndFraction (Negative StartFraction 8 over 7 EndFraction) x minus three-fourths = 20 (Negative StartFraction 8 over 7 EndFraction)" results in a different value of x than the other three equations.

The equation that results in a different value of x than the other three is:

Negative StartFraction 7 over 8 EndFraction (Negative StartFraction 8 over 7 EndFraction) x minus three-fourths = 20 (Negative StartFraction 8 over 7 EndFraction).

To determine which equation yields a different value of x, we can compare the coefficients and constants in each equation.

Let's analyze each equation:

Negative StartFraction 7 over 8 EndFraction x minus three-fourths = 20

Three-fourths + StartFraction 7 over 8 EndFraction x = negative 20

Negative 7 (StartFraction 1 over 8 EndFraction) x minus three-fourths = 20

Negative StartFraction 7 over 8 EndFraction (Negative StartFraction 8 over 7 EndFraction) x minus three-fourths = 20 (Negative StartFraction 8 over 7 EndFraction).

Among these equations, the fourth equation stands out. It includes the term "Negative StartFraction 7 over 8 EndFraction (Negative StartFraction 8 over 7 EndFraction)" as a coefficient for.

This term simplifies to "1," resulting in a different coefficient compared to the other equations.

Thus, the equation "Negative StartFraction 7 over 8 EndFraction (Negative StartFraction 8 over 7 EndFraction) x minus three-fourths = 20 (Negative StartFraction 8 over 7 EndFraction)" produces a different value of x than the other three equations.

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Answer:

the answer is in picture

Step-by-step explanation:

hope it will help you

Answer:

201

Step-by-step explanation:

There are 4 quarts in each gallon so all you have to do is 50.25 times 4

The units that could apply to the variable t representing the amount of time the workers have left to clean the windows are hours or minutes, not workers or buildings. None of the given Options.

The variable t represents the amount of time the workers have left to clean the windows. From the given information, it is stated that it takes a total of 12 hours to clean the windows of the office building, and on the first day, the workers were able to clean for 9 hours.

Therefore, the remaining time left to clean the windows can be expressed as 12 - 9 = 3 hours.

Based on this, we can determine the appropriate units for the variable t. Since t represents time, the units that apply to this variable should also be units of time. In this case, the units of time that could apply to the variable t are hours or minutes.

OA. workers is not an appropriate unit for the variable t because it represents the number of individuals performing the task, not the amount of time remaining.

B. buildings is also not an appropriate unit for the variable t because it represents the number of office buildings, which is unrelated to the amount of time left to clean the windows. None of the given Options is correct.

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Answer:

Step-by-step explanation:

Answer:

2.537 x 10¹⁵ miles

Step-by-step explanation:

We are given the following:

1 light year = 5.9 x 10¹² miles

Distance of the star = 4.3 x 10² light years

To get this we just convert the distance of the star in light years into miles.

We cancel out the light years and then we are left with:

In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.

Coefficients:

4.3 x 5.9 = 25.37

Exponents of 10:

10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴

Then we combine them again to form a scientific notation:

25.37 x 10¹⁴

But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.

The answer will then be:

2.537 x 10¹⁵ miles

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Answer:    318,600

Step-by-step explanation:

This is what I got hope it helped:)