If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit

Answers

Answer 1

Answer:

17/60 yards of scarf

Step-by-step explanation:

If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit

To solve the above question:

5 friends = 1 5/12 yards

1 friend = x yards

Cross Multiply

5 × x = 1 × 1 5/12 yards

x = 17/12 yards ÷ 5

x = 17/12 yards × 1/5

x = 17/60 yards of scarf

Answer 2

Answer:

its D

Step-by-step explanation:

1x5/12 + 5/12 1 X 5 = 5  SO 1 X 5/12 IS D


Related Questions

A rectangle PQRS with vertices at P(-4, -1), Q(-4,-5), R(-3, -5) and S(-3,-1) is mapped onto a rectangle with vertices at P'(5, -4), Q'(9,-4), R'(8, -3) and S'(4, -3). Find the matrix of the transformation.​

Answers

Answer:

|5 -4|

| |

|9 -3|

Step-by-step explanation:

All Excel Features Are Supported In A Co-Authoring A Environment.

O True

O False

Answers

Answer:

true

Step-by-step explanation:

i think

False, while co-authoring in Excel enables collaboration and real-time editing, it may not support all advanced features and functionalities available in a single-user environment.

In a co-authoring environment, where multiple users collaborate on an Excel document simultaneously, not all Excel features are supported. While many basic features and functions can be used in a co-authoring setting, certain advanced features may not be fully compatible or functional.

Co-authoring in Excel typically supports common features such as data entry, formatting, basic calculations, and simple formulas. However, features that involve complex dependencies, extensive macros, advanced charts, or specialized add-ins may not function as expected or may be disabled in a co-authoring scenario.

It's important to note that the specific features supported in a co-authoring environment can vary depending on the version of Excel being used, the collaboration platform, and any restrictions or limitations set by the administrator or hosting service.

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How do you solve inequalities in 9th grade?

Answers

To solve inequalities in 9th grade:  simplify the algebraic expressions by combining like terms and isolating the target variable, then applying the mathematic operators.

Inequalities is taught in 9th grade. To solve the inequality:

-  First, simplify the expression: open the parentheses of algebraic expression, combine the terms like, and isolate the target variable.

- Use mathematic operators such as: addition, subtraction, multiplication, and division. All mathematic operations must be done on both sides. Addition and subtraction do not change the inequality. Multiplication and division with positive numbers will not change the inequality.

Multiplication and division with negative numbers will change the sign of the inequality.

Example:

Solve the inequality: 3(x + 2)  <  7x - 18

Step 1: Open the parentheses.

3(x + 2)  <  7x - 18

⇔ 3x + 6 < 7x - 18

Step 2: Subtract both sides with 7x and 6, this operation does not change the inequality sign

3x + 6 - 7x -6 < 7x - 18 - 7x - 6

-4x < -24

Step 3: Divide both sides with (-4). Since we divide with negative numbers, flip the inequality sign.

-4x/(-4) > -24/(-4)

x > 6

Hence, the solution is x > 6

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y = -2x+2
y = 7x+11
Solve this system of equation by substitution

Answers

Answer:

y=4 and x=-1

Step-by-step explanation:

so in the first equation get x by itself so subtract 2x and subtract y and then divide by two so you should have x=1+y/2

then in the second equation plug in 1+y/2 for x

y=7(1-y/2)+11

(distribute) y=7-7y/2+11

y=18-3.5y

(add 3.5y) y+3.5y=18

4.5y=18

divide by 4.5 and y=4

now go back to the first equation and solve for x

4=-2x+2

2=-2x

x=-1

Why is 43 a prime number?

Answers

Number 43 is representing a prime number as it has only two factors one and 43 itself.

As given in the question,

Given number is equal to :

43

Prime numbers are such numbers which has only two factors one and the number itself.

Prime numbers does not get divided by any other integer.

Factors of 43 are equals to :

1 and 43.

43 does not exactly get divided by any other integer.

Here 43 satisfy the property of a prime numbers.

Therefore, number 43 is considered as a prime number because it has only two factors one and the number 43 itself.

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Joshua watched 1 3 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 1 5 of the movie left to watch. How much of the movie did Joshua watch at night

Answers

We can start solving the problem by using algebra. Let x be the total length of the movie in minutes. Then we know that:

1/3 of the movie is x/3 minutes.

1/5 of the movie is x/5 minutes.

We are told that Joshua watched 1/3 of the movie in the morning and had 1/5 of the movie left to watch at night. Therefore, we can set up the equation:

x/3 + y = x/5, where y is the length of the movie that Joshua watched at night.

We can then solve for y by isolating it on one side:

y = x/5 - x/3

We know that 1/3 + 1/5 = 8/15.

We can simplify by multiplying both sides of the equation by 15:

y = (8/15)*x = 8x/15

We can conclude that Joshua watched 8/15 or approximately 53.33% of the movie at night.

a number divided by 3 is equal to 8​

Answers

n/3=8 is the equation.

n=24

Ofia and her brother combined to read a total of 40 book over the ummer ofia read a many book a her brother. How many book did each peron read?

Answers

The number of books Sophia and her brother read is 32 and 8 respectively.

Given that,

The total number of books = 40 books

The number of books Sophia read = 4[The number of books Sophia's brother read]

Assuming that the number of books Sophia's brother read = a

So, the number of books Sophia read = 4a

Thus,

a + 4a = 40

Solving the equation further, we get:

5a = 40

a = 8

The number of books Sophia's brother read = 8 books

Hence, the number of books Sophia read = 32 books

Therefore, The number of books Sophia and her brother read is 32 and 8 respectively.

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Which statement is correct based on the data?
The ratio of smoothie size to mangos used for Kim is 1:8, and the ratio of smoothie size to mangos used for Bri is 3:24.
The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.
The ratio of smoothie size to mangos used for Bri is 64:3, and the ratio of smoothie size to mangos used for Angela is 64:4.

Answers

The statement that is correct based on the data will be B. The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

How to calculate the ratio?

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, the ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela. This was Illustrated as:

1/8 = 3/24 = 4/32

The correct option is B.

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Answer:

the person above me is incorrect I took the test and redid it and the correct answer is D

geometric probability HELP

Answers

The probability that a randomly selected point within the circle falls in the red shaded area is the fraction 7/11.

What is probability?

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

total possible outcome is the area of the circle

the required outcome is the area of the square

area of the circle = (22/7)(4)²

area of the circle = (22/7)(16)

area of the circle = 352/7

area of the square = (4√2)²

area of the square = (4√2)(4√2)

area of the square = 16 × 2

area of the square = 32

probability a randomly selected point within the circle falls in the red shaded area is calculated as follows;

32/(352/7)

changing division to multiplication

32 × 7/352

32 is a factor of 352 and can cancel out

1 × 7/11

7/11

Therefore, the probability a randomly selected point within the circle falls in the red shaded area is 7/11.

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What is 2 called in math?

Answers

Answer: In math, the number 2 is called a "natural number" or "integer." It is the first positive even number and the second positive number in the set of natural numbers (1, 2, 3, 4, ...). The number two is also a base of the binary numeral system, which is used in computer science.

Step-by-step explanation:

HELPPPPPP

Find the percent equivalent to 66 over 165.

25%
40%
60%
99%

HELPPPPP

Answers

The percent equivalent to 66 over 165 is 40%.

What is Percentage?

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

We have to calculate the percent of the numbers 66 over 165.

First divide 66 with 165. The multiply with 100 to get the required percentage.

(66 / 165) × 100 = 0.4 × 100 = 40%

Hence the required percentage is 40%.

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Which of the following is a zero of the polynomial 3x² - 8x + 5 ?*0-112​

Answers

The zero of the polynomial 3x² - 8x + 5​ is x=1 and x= 5/3

A Polynomial is an expression of two or more than two algebraic terms having different exponential powers on the same variable in different terms. An example of a polynomial can be  4x∧3+5x∧2+2x+1=0

The zeroes of polynomials are all the values for the variable that gives the solution of the equation as zero. There are three types of roots real and distinct, equal roots, and non-real roots.

Polynomial is in the form a[tex]x^{2}[/tex]+bx+c=0

where a=3,  b=8 , c=5

b∧2-4ac= 64-4 x 3 x 5 = 4

since b∧2-4ac>0 gives real and distinct roots

now, 3x² - 8x + 5​

=(3x^2-3x)+(-5x+5)

=3x(x-1)-5(x-1)

=(3x-5)(x-1)

∴x-1=0

x=1

and 3x-5=0

x=5/3

Therefore the roots of the equation are 1, 0 and 5/3

The correct question is Which of the following is a zero of the polynomial 3x² - 8x + 5? 0 or 112

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When a fair coin is flipped, there are 2 possible ways the coin can land: heads or tails.
Which statement below is true?
The probability of heads is greater than the probability of tails.
The probability of tails is greater than the probability of heads.
The probability of heads is equal to the probability of tails.
The probability cannot be determined.

Answers

Answer:

The probability of heads is equal to the probability of tails.

A muffin recipe, which yields muffins, calls for

cup of milk for every

cups of flour. The same recipe calls for

cup of coconut for every

cup of chopped apple.
If all ingredients in this recipe are changed proportionately, how many muffins should you yield from a batch that contains

cups of chopped apple?

Answers

Answer: I don't get it, there aren't  any numbers

Step-by-step explanation:

9. (-4) + 3 x ²7-3)-(-1)

Answers

Answer:

First, we need to simplify the expression by combining like terms. We have -4 + 3x^2-3 and -1. We can combine the like terms -4 and -1 to get -5.

Now, the expression can be rewritten as -5 + 3x^2-3. Next, we need to use the order of operations to evaluate the expression. The first step is to simplify any terms within parentheses, so we simplify 3x^2-3 to 3x^2-3 = 3x^2-3.

Now, the expression can be rewritten as -5 + 3x^2-3. The next step is to perform any multiplication or division, so we multiply 3 with x^2 to get 3x^2.

The expression is now -5 + 3x^2. The last step is to perform any addition or subtraction, so we add -5 and 3x^2 to get 3x^2-5.

Therefore, the answer to the expression is 3x^2-5.

A tennis ball is dropped from a certain height. Its height in feet is given by h = -16t² + 19 where t represents the time in seconds after launch. What is the ball's initial height?​please

Answers

The tennis ball's initial height is 19 feet.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, a tennis ball is dropped from a certain height.

Its height in feet is given by h = -16t²+19 where t represents the time in seconds after launch.

Initial height is 0

-16t²+19 =0

16t²=19

t²=19/16

t=√(19/16)

t=√1.1875

t=1.089 seconds

So, the initial height is 19

Therefore, the tennis ball's initial height is 19 feet.

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The rockville recruitment agency just placed howard jacobson in a job as an assistant pharmacist. The job pays $51. 2k. The agency fee is equal to 40% of the first three weeks' pay.

Answers

The weekly pay of Howard as an assistant pharmacist in Rockville recruitment is $984.66

The payment for the recruitment agency job = $51,200

The agency fees = 40% of the first three week's pay

Howard's weekly salary can be found using the formula,

                W = A / N

where W is the weekly salary

           A is the annual salary

           N is the number of weeks

Let us substitute the known values in the above equation, we get

              W = 51,200 / 52 [ Total no. of weeks in one year will be 52 weeks]

                   = $984.66

Thus, his weekly pay for Howard as the recruitment agency job is $984.66

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The full question is

The Rockville Employment Agency just placed Howard Jacobson in a job as a junior pharmacist. The job pays $51.2k. The agency fee is equal to 40% of the first three weeks' pay. What is Howard's weekly salary to the nearest cent?

math.....................................

Answers

Based on the box plot concept and the available options, the box plot that correctly represents the data is option A.

What is Box Plot?

Box plot is a term that is used to describe the box and whisker plot which shows the five-number summary of a set of data.

Generally, this five-number summary is the minimum, first quartile, median, third quartile, and maximum.

Therefore, to get the right box plot we have the following steps.

Make a box plot of the data.

Step 1: Order the data from smallest to largest. We have 52, 54, 56, 58, 60, 62, and 64Step 2: Find the median. The median is the middle number: 58Step 3: Find the quartiles. The first quartile is the median of the data points to the left of the median: 54. The third quartile is the median of the data points to the right of the median: 62Step 4: Complete the five-number summary by finding the min and the max. The min is the smallest data point, which is 52. The max is the largest data point, which is 64The five-number summary is: 52, 54, 58, 62, 64.

Let's make a box plot for the same dataset from above.

Step 1: Scale and label an axis that fits the five-number summary.

Recall that Q1 = 54, the median is 58, and Q3 = 62

Also, the min is 52 and the max is 64.

Therefore, when we draw the box from Q1 to Q3 and from Q1 to the min, and from Q3 to the max, we have option A as the answer.

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what is the equation of a line in point-slope form with a slope if 1/2 and the point (5,-2) is on the line?

Answers

The equation of the line in slope intercept form is y = 1 / 2x - 9 / 2.

How to represent equation in slope intercept form?

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, the slope of the line is 1 / 2 and the line passes through (5, -2).

Hence,

y = 1 / 2 x + b

let's find the y-intercept using (5, -2)

Therefore,

-2 = 1 / 2 (5) + b

b = -2 - 5 / 2

b =  -4 - 5/ 2

b = -9 / 2

Therefore, the equation of the line is y = 1 / 2x - 9 / 2

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can you answer all of these

Answers

The eight triangle round the triangle measure is a geometric concept which involves the measurement of the angles and sides of a triangle to two decimal places.

What is triangle?

Triangle is a geometric figure with three sides and 3 angles it is one of the basics safe in geometry triangle and either write a cute or obtuse depending on the size of each angle the sum of the angle in a triangle is 180 degree. Triangle can be classified into equatorial isosceles,and skelenal triangles, depending on the triangle of the side. All three type of triangle have various application in mathematics physics and engineering.

This is done by using the values of the sides and angles of the triangle to calculate the length and degree measurements of the triangle. The calculation is done using the trigonometric functions of sine, cosine and tangent. By using the values of the sides and angles of the triangle, the measurements of the triangle can be calculated to two decimal places. This method is used to find the exact measurements of a triangle and is quite accurate.

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Identify the value of y.

Answers

Don’t listen to the guy above, he’s mean, sorry I don’t know the answer, I think it might be 12 though

Find the value of both expressions below when x = 5.
4x

Answers

Answer:

The expression below, 4x=20 when x=5.

Step-by-step explanation:

4(5)=20

I don’t know this answer

Answers

Answer:

He is 8.25 miles down the path

Step-by-step explanation:

the precent proportion would be

P/12.5 = 70/100

It’s me again I need the help

Answers

The given statement justifies the additive property of equality.

What is additive property?

When the same quantity is added to both sides of an equation, the equation remains true, which is known as the addition property of equality. One of the basic characteristics of equality in mathematics, it is also highly significant.

Equations are solved using the addition condition of equality.

The additive property of equality states that:

If a=b and c=d, then.

a+c = b+d.

The given statement also depicts the additive property.

Hence, the prove statement depicts the additive property of equality.

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Prompt 4: The passages discuss the impact that people have had on the bald eagle. Write an
essay analyzing how people are helping the bald eagle increase in numbers. Use information
from all three passages to support your response.
Focus: What am I looking for?
What am I going to write about?
Task: What will I be doing in
my analysis?
Required Criteria: What details
and evidence will support me to
complete my task?

Answers

Therefore , the solution of the given problem of fraction comes out to be  20  bald eagles are there.

A fraction is what?

Any quantity of equal portions, or fractions, can be used to represent a whole. In standard English, the quantity of a specific size is stated as a fraction. 8, 3/4. Wholes also include fractions. In mathematics, numbers are represented as the numerator to denominator ratio. These are each integers in simple fractions. There is a fraction in the fraction or denominator of a difficult fraction. Because numerators and numerator and denominator of real fractions differ from one another. A fraction is a total that represents a portion of a whole. By dividing the whole to smaller components, you can assess it. For instance, 12 is employed to denote half of a number.

Here,

You'd get 18 osprey if: a. 2:3 b. 2/3 = 12/x; 

cross multiplying 2x would give you 36 x.

c. You'd have 20 bald eagles if you took the ratio of 2/3 to x/30 and multiplied it by three.

=>2/3 =x/30

=>x = 2*30/3

=> x =20

Therefore , the solution of the given problem of fraction comes out to be  20  bald eagles are there.

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NEED HELP ASAP PLEASE!
If a and b are positive integers such that [tex]a^{3b}[/tex] = x and [tex]a^{b}[/tex] = y, then [tex]\frac{x}{y^{2} }[/tex]= ?

Answers

If a and b are positive integers such that a^3b = x and a^b = y then x/y² is solved to be y

How to calculate for x/y²

The problem is solved by simplifying and substitution

Simplifying the expression a^3b = x and a^b = y will result to

a^(b3) = x and a^b = y

y^3 = x

substituting y^3 = x into the equation x/y²

= x / y²

= y³ / y²

apply power rule

= y³ ⁻ ²

= y

hence the solution of the equation x/y² while considering that a^3b = x and a^b = y will result to a solution of y

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7. Suppose a sphere has a volume of 3,000 cm3. Find the surface area.
The volume of a sphere: V= 4/3 pi r^3

Part I: Find the radius of the sphere by setting the volume equal to the formula above. Show your work and round the radius to the nearest hundredth.

Part II: Use the radius you found in Part I with the surface area formula below to the find the surface area of the sphere. Show your work and round your answer to the nearest tenth.

The surface area of a sphere: SA= 4 pi r^2

Answers

Answer:

Part 1

[tex]\boxed{r = 8.9 \;cm}[/tex]

Part 2

[tex]\boxed{SA=995.4\;cm^2}[/tex]

Step-by-step explanation:

If r is the radius of a sphere

Volume of a sphere:
[tex]V = \dfrac{4}{3}\pi r^2[/tex]

Surface Area
[tex]SA = 4\pi r^2[/tex]

Part 1
We are given volume = 3,000 cm³

Setting this to volume to the equation for volume gives
[tex]3000 = \dfrac{4}{3} \pi r^3\\\\[/tex]

Multiplying both sides by 3/4 yields

[tex]\dfrac{3}{4}\cdot 3000 = \pi r^3\\\\2250 = \pi r^3\\\\r^3 = \dfrac{2250}{\pi}\\\\r^3 \approx 716.1972\\\\\\r = \sqrt[3]{716.1972} \\\\r = 8.947\\\\\\\textrm{Rounded to the nearest tenth:}\\\\\boxed{r = 8.9 \;cm}\\\\\text{(Answer\;Part 1)}\\[/tex]

Part 2

Using r = 8.9 cm we can compute the surface area SA using the formula for surface area

[tex]SA = 4\pi r^2\\\\SA = 4\pi (8.9)^2\\\\SA = 995.38\;cm^2\\\\\textrm{Rounded to the nearest tenth:}\\\\\boxed{SA=995.4\;cm^2}\\\\\textrm{(Answer Part 2)}[/tex]

Periodical Express is a newspaper printing company. They printed 450 copies of The Informer in just 15 seconds! They next need to print 300 copies of the Sport Report.
If they print at the same rate, how many seconds will it take to print the Sport Rep

Answers

The seconds will take to print the sport rep is 10 seconds.

What is linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

Given

Periodical Express is a newspaper printing company. They printed 450 copies of The Informer in just 15 seconds.

They next need to print 300 copies of the Sport Report.

If they print at the same rate

Let the number of seconds be x .

so ,

for 450 copies it takes 15 seconds .

than for 300 copies it takes x seconds

than x = 300 * 15 / 450

x = 10

Hence the seconds will take to print the sport rep is 10 seconds.

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The measures of two supplementary angles total 180 degrees. The measure of angle y is 65 degrees less than the measure of angle x. What are the measures of the angles?
The measure of angle x is 122.5 degrees. The measure of angle y is 57.5 degrees.
The measure of angle x is 115 degrees. The measure of angle y is 65 degrees.
The measure of angle x is 57.5 degrees. The measure of angle y is 122.5 degrees.
The measure of angle x is 65 degrees. The measure of angle y is 115 degrees.

Answers

The measure of angle x is 57.5 degrees. The measure of angle y is 122.5 degrees. The correct option is C.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

The measures of two supplementary angles total 180 degrees.

The measure of angle y is 65 degrees less than the measure of angle x.

Let the measure of angle y is m∠y.

And the angle measure of x is m∠x.

So,

m∠x + m∠y = 180°   {equation 1}

And according to the question,

m∠y = m∠x - 65°        {equation 2}

Substituting the value from equation 2 to equation 1,

2m∠x = 180 + 65

m∠x = 245/2

m∠x = 122.5°

And m∠y = 122.5 - 65

m∠y = 57.5°

Therefore, the angle measures are m∠x = 122.5° and m∠y = 57.5°.

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Other Questions
Suppose that A is a subset of the reals. Select one: a. A is countably infinite b. A is uncountable O c. A is finite d. Can't tell how big A is. Clear my choice the graph of the line y+=2/5x-2 is drawn on the coordinate plane which table of ordered pairs contains only points on this line with reference to international balance of payment accounting, if a country's merchandise imports exceed merchandise exports for a period, is called? which statment is a hypothesis when a bond with a face value of $100,000 is sold for $115,000, the bond is being issued at a (1 word) 32 g sample of gas occupies 22.4 l at stp. what is the identity of the gas ? Calculate the pH of the following aqueous solutions. Choose your answer from the given pH ranges.0.1 M methylamine (pK = 3.36)A) pH 6.00-8.99B) pH 0.00-2.99C) pH 9.00-10.99D) pH 11.00-14.00E) pH 3.00-5.99 StarGaze Company leased a truck for three months. Accounting guidance classifies the lease as an operating lease. StarGaze makes lease payments of $1,550 at the end of each month.1. What journal entry will StarGaze enter upon signing the lease, AND making its first cash payment of $1,550 cash to the leasing company? (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)1.Record the entry for StarGaze upon signing the lease contract.2. Record the entry for StarGaze's $1,550 lease payment to its lessor at the end of the month. the federal courts of appeal consist of how many courts? Company K has a 30 percent marginal tax rate and uses a 7 percent discount rate to compute NPV. The company started a venture that will yield the following before-tax cash flows: year 0, $12,000; year 1, $21,000; year 2, $24,000; year 3, $17,600. Use Appendix A and Appendix B. If the before-tax cash flows represent taxable income in the year received, compute the NPV of the cash flows. Compute the NPV if Company K can defer the receipt of years 0 and 1 cash flows/income until year 2. (It would receive no cash in years 0 and 1 and would receive $57,000 cash in year 2.) Compute the NPV if Company K can defer paying tax on years 0 and 1 cash flows until year 2. (It would receive $24,000 cash in year 2 but would pay tax on $57,000 income.) here is my ? hrlp mr please UCC contract law would apply if you were selling your house.a. Trueb. False Identify a true statement about the work of Andrew Meltzoff on imitation in infant development.Multiple ChoiceHe holds that deferred imitation does not occur until about 18 months of age.He emphasizes that an infant's imitative abilities resemble a hardwired response.He has concluded that infants blindly imitate everything they see.He sees infants' imitative abilities as biologically based. 10. is it possible for a person consuming adequate amounts of milk and egg sources of protein to be deficient in niacin? why or why not? which species has this ground-state electron arrangement? 1s2 2s2 2p6 3s2 3p6 3d10 for each of the following definitions, indicate the key term from the list above that best matches by placing the appropriate letter in the blank space next to the definition. A budget in which each activity and the amounts of resources requested for each activity must be justified each year. A budget that is derived from the current year budget by multiplying a factor across all line-items A budgeting approach popular in the 1960s that integrates various elements of planning for programs Measures that relate costs to outcomes Zero-based budgeting Efficiency measures Effectiveness measures Planning-programmi Zero-based budgeting Program budgeting Flexible budgeting Incremental budgeting Bu ng-budgeting systemm ng A budget in which resource inputs and service outputs are identified programs Two uniform links OB and BP are attached/pinned to the ground at O and the massless block at P. The rod OB has mass m and length L, while the rod BP has mass m/2 and length L/2, respectively.There is a linear spring of stiffness k attached to the block at P on one end and to the g wall at the other end. The system is in vertical of plane. The spring is unstretched when the two m,L L rods are horizontal, that is, 0=0, and OP=3L/2 2 2 B Use the Principle of Virtual Work to find the equilibrium position of the system in terms of the angle 0. Consider a CPU cache with 64B block size, 1024 sets, and 4-way associativity.Question 1: Given 32-bit addresses, how many bits do we need for the tag?Question 2: What is the size of the cache? (How much data can it hold?) 2. The functions of US policing are conducted within three organizational frameworks or settings namely: b) 3. Of the following, which made recommendations regarding US police reform even it that was not their stated purpose or focus of study? a) the Wickersham Commission b) the Kerner Commission c) President Kennedy's Civil Rights Council on Justice Reforms d) the Estes Kefavour Select Congressional Committee on Interstate Trucking e) President Trump's Task Force on 21" Century Policing 4. A police officer's decision to arrest and/or use physical force against a person in the performance of his/her official duties is officially an example of the exercise of that police officer's ( Show that the connected components of Q are the singletons. In other words, Q has no nontrivial connected subsets. (Such a space is also called totally disconnected.) Hint: Suppose E CQ contains two different points x < y. Use the fact that there exists an irrational number a such that x < a