the list shows how much yarn mary has= 1/3 red yarn, 2/9 white yarn, 2/6 blue yarn what is the total amount of yarn mary has?

Answers

Answer 1

The total amount of yarn Mary has is [tex]\frac{8}{9}[/tex].

Step-by-step explanation:

Mary has;

Red yarn = [tex]\frac{1}{3}[/tex]

White yarn = [tex]\frac{2}{9}[/tex]

Blue yarn = [tex]\frac{2}{6}[/tex]

Total yarn = Red + White + Blue

Total yarn = [tex]\frac{1}{3}+\frac{2}{9}+\frac{2}{6}\\[/tex]

Taking LCM = 18

Total yarn = [tex]\frac{6+4+6}{18}[/tex]

Total yarn = [tex]\frac{16}{18}=\frac{8}{9}[/tex]

The total amount of yarn Mary has is [tex]\frac{8}{9}[/tex].

Keywords: fraction, addition

Learn more about fractions at:

brainly.com/question/2150928brainly.com/question/2154850

#LearnwithBrainly

Answer 2
Final answer:

The total amount of yarn that Mary has is the sum of the fractions representing each color of yarn. After converting all fractions to like terms with denominator 9, we find that Mary has 8/9 in total.

Explanation:

To calculate the total amount of yarn Mary has, you should add all the given fractions together. We have:

1/3 red yarn,

2/9 white yarn, and

2/6 (which can be simplified to 1/3) blue yarn.

To add these fractions, they need to have a common denominator. The lowest common denominator of 3 and 9 is 9. So, we get:

3/9 red yarn + 2/9 white yarn + 3/9 blue yarn = 8/9.

Therefore, the total amount of yarn Mary has is 8/9.

Learn more about Fraction Addition here:

https://brainly.com/question/14427715

#SPJ12


Related Questions

What is the GCF (greatest common factor of 9 and 18?

Answers

Answer:

9

Step-by-step explanation:

How do you write 0.35 as a fraction in simplest form

Answers

The fraction would be 35/100, in simplest form that is 7/20.

Answer:It  equals -7/20 because Here's how to convert 0.35 to a fraction... There is not much that can be done to figure out how to write 0.35 as a fraction, except to literally use what the decimal portion of your number, the .35, means. Since there are 2 digits in 35, the very last digit is the "100th" decimal place. So we can just say that .35 is the same as -35/100. The fraction -35/100 is not reduced to lowest terms. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 5. Why divide by 5? 5 is the Greatest Common Divisor (GCD) or Greatest Common Factor (GCF) of the numbers 35 and 100.

So, this fraction reduced to lowest terms is -7/20.

So your final answer is: 0.35 can be written as the fraction -7/20

Hope this helps... Plz mark me brainliest if the answer is correct... Stay safe and have a great weekend!!! :D

how do you simply this expression (x+2)-(1x-2)-12x

Answers

Answer:

4-12X

Step-by-step explanation:

Expression: (x+2)-(1x-2)-12x

First step: x+2-1x+2-12x

Second step: (2+2)+(x-1x-12x)

Third step: 4-12X

identity of survey, this is for math, can i get an explanation?

Answers

Answer:

Third statement: convenience sampling.

Explanation:

The student used convenience sampling.

The population of the study is the entire population of students of the school.

Since it is time consuming to survey all the students, the high school volunteer student needs to survey a sample.

A systematic random sample would have used a procedure, algorithm,  method (a system) to select a random sample. This is not what the student did, thus the first option is incorrect.

A voluntary sampling consits of volunteer people who agree to take part in the study and answer the survey. This isn't either how the sample was choosen, thus the second option is also incorrect.

A convenience sample is when the sample is chosen for the researcher's ease, i.e. convenience. In this case, the student decided to survey only members of his class instead of selecting a representative sample of all the classes. This sample is not random, since not every member of the population has equal chances to be chosen, but it is easy for the student to survey a group that is very close to him. Hence, the third statement is correct.

The was not an statrified sampling (fourth choice), since statrified sampling consists in creating different groups and chosing some members from every group. This is not what the researcher did.

Two angles are supplementary. If one angle measures 56 degrees, what is the measure of the second angle? A. 34 degrees B. 44 degrees C. 114 degrees D. 124 degrees

Answers

Final answer:

Supplementary angles add up to 180 degrees. If one angle measures 56 degrees, the other supplementary angle equals 180-56 which equals 124 degrees. So, the second angle measures 124 degrees.

Explanation:

Supplementary angles are two angles that add up to 180 degrees. Therefore, if one of these angles measures 56 degrees, the other one must be the value that when added to 56 completes 180. We can find it by using the formula for supplementary angles: angle B = 180 - angle A.

So, to find the measure of the second angle, we subtract the measure of the first angle (56 degrees) from 180 degrees.

Angle B = 180° - 56° = 124°.

Therefore, the second angle measures 124 degrees (Choice D).

Learn more about Supplementary Angles here:

https://brainly.com/question/18164299

#SPJ12

how old am I if 20 reduced by two times my age is 16

Answers

Answer:

20-2x=16

Divide all by 2

10-x=8

x=2,

Step-by-step explanation:

What is the equation of the line that has an x-intercept of 2 and a y-intercept of 8?
A y= 2x + 10
B y= 2x + 5
C y= -2x + 10
D y= -2x + 5

Answers

Answer:

x-int: (2, 0)

y-int: (0,8)

(8-0)/(0-2)= 8/-2=  -4

y - 0 = -4(x - 2)

y = -4x + 8

Step-by-step explanation:

Two cars start at the same time, but travel in opposite directions. One car's average speed is 80 miles per hour (mph). At the end of 4 hours, the two cars are 520 miles apart. Find the average speed in mph of the other car. (Enter an exact number.

Answers

Final answer:

The average speed of the second car is calculated by subtracting the distance traveled by the first car from the total distance apart, and then dividing by the time elapsed. The second car has an average speed of 50 mph.

Explanation:

The student is asking for help to find the average speed of the second car when two cars, starting at the same point and traveling in opposite directions, end up being 520 miles apart after 4 hours. The first car travels at an average speed of 80 mph.

To solve this, we need to calculate the total distance covered by both cars in the time frame given. We already know the total distance apart is 520 miles.

The first car travels at 80 mph for 4 hours, covering 80 mph * 4 h = 320 miles. To find out how far the second car traveled, subtract the distance covered by the first car from the total distance apart: 520 miles - 320 miles = 200 miles.

Finally, to find the average speed of the second car, divide the distance traveled by the time. Thus, the second car's average speed is 200 miles / 4 h = 50 mph.

Final answer:

To find the average speed in mph of the other car, divide the total distance traveled by the time. Subtract the first car's average speed from the total speed to find the other car's average speed.

Explanation:

To find the average speed in mph of the other car, we need to determine the total distance traveled. Since the two cars are 520 miles apart at the end of 4 hours, we can divide the total distance by the time to find the average speed.

The first car has an average speed of 80 mph, so the total distance traveled by both cars is 80 mph * 4 hours = 320 miles.

The other car's average speed can be found by subtracting the first car's average speed from the total speed: 320 miles - 80 mph = 240 mph.

100 points What scale factor was applied to the first rectangle to get the resulting image?

Enter your answer as a decimal in the box.


A rectangle with a short side of 6. An arrow points to a smaller rectangle with a short side of 1.5

Answers

Answer:

0.25

Step-by-step explanation:

Scale factor = ratio of the sides

Assuming the first rectangle is with shorter side 6,

Scale factor = 1.5/6 = 15/60 = 1/4 = 0.25

Divide the new length by the original length:

The arrow points from 6 to 1.5, so the new length is 1.5 and the original length was 6.

1.5 / 6 = 0.25. The scale factor was 0.25

What is 3(x+3)+7x= ?

Answers

The answer is 6x+7x there is no answer without the value of c

Answer:10x+9

Step-by-step explanation:

First you have to multipy the 3 into the parenthesis using distributive property.

After that you get 3x+9+7x.

Then you get 10x+9 because you can only combine like terms

Solve the equation for x. For each step, describe the operation and/or property used.

5(2x - 4) - 11 = 4 + 3x

PLEASE HELP

Answers

Answer:

x = 5

Step-by-step explanation:

Start by distributing the 5 to remove parentheses.  To do this multiply the numbers and variable in the parentheses by 5.

10x - 20 - 11 = 4 + 3x

Next. you want to get the variables to one side.  This is done by subtracting 3x from both sides.

7x - 20 - 11 = 4

Now solve the -20 - 11.

7x - 31 = 4

You need to have the variable all by itself.  To do this, first add -31 to both sides.

7x = 35

Finally divide by 7.

x = 5

Hope this helped.  

Can someone explain the difference between the perimeter and the circumference?
REAL ANSWER PLEASE WILL GIVE BRAINLIEST

Answers

Answer:Perimeter is the limit of any given geometric figure. Circumference is just the name given to a circle’s perimeter, in other words, the circle’s limit, its edge.

The reason for this is because the perimeter is, by definition, the sum of the lenghth of every side of any given geometric figure. A circle has either no sides, or number of sides, so its perimeter has to be treated differently.

Remember that π (Pi) equals 3.141592 approximately. This is a constant, meaning that no matter what circle you are studying, Pi will always have the same value. It is the relation between the diameter and the lenght of its circumference. A circle with diameter xwill travel 3.141592x before it completes a revolution. This is where Pi comes from.

So the difference would be that a “normal” perimeter is only the sum of the sides. A circumference is the perimeter of a circle, given a diameter and the constant value of Pi, that derives from other properties of the circle, and not by its sides (remember a circle has either none or nnumber of sides).

perimeter is for a geometric shape (square, triangle, diamond, rectangle,etc.), whereas circumference is the “perimeter” of a circle

Dude is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should dude use for the mixture to cost $7.75 per pound to make

Answers

Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.

Step-by-step explanation:

Step 1:

Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.

Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.

Step 2:

Form an equation using the above information.

⇒ 9x + 5.25 (12-x) = 12 × 7.75

⇒ 9x + 63 - 5.25x = 93

⇒ 9x - 5.25x = 30

⇒ 3.75x = 30

⇒ x = 8

Number of macadamia nuts is 8 pounds.

Step 3:

Calculate number pounds of almonds

⇒ Number of pounds of almonds = 12 - x = 4 pounds.

what is 29/4 simplyfied?

Answers

Answer:

7 and 1/4 or 7.25

Step-by-step explanation:

28/4 = 7

1/4 = 0.25

7 + 0.25 = 7.25

Answer:

[tex]\frac{29}{4}[/tex] or [tex]7\frac{1}{4}[/tex]

Step-by-step explanation:

29/4 is the most simplified it can get, if you want it as a mixed fraction then it is 7 1/4.

Please hurry! (include graph for both)

1: Graph ​ h(x)=2sin(2x)−3 ​. Use 3.14 for π .

2: Graph ​ g(x)=4cos(2x)−2 ​. Use 3.14 for π .

Answers

See the graphs below

Explanation:

FOR GRAPH 1:

Let's take:

[tex]f(x)=sin(x)[/tex]

Let's transform this function as follows:

Step 1. Horizontal compression by 1/2:

[tex]f(x)=sin(2x)[/tex]

Step 2. Vertical stretch:

[tex]f_{1}(x)=2sin(2x)[/tex]

Step 3. Vertical shifting 3 units down

[tex]f_{2}(x)=2sin(2x)-3[/tex]

Finally:

[tex]h(x)=f_{2}(x)=2sin(2x)−3[/tex]

The graph is shown in the First Figure below.

FOR GRAPH 2:

Applying a similar method we get:

Step 1. Horizontal compressionStep 2. Vertical stretchStep 3. Vertical shifting

The graph is shown in the Second Figure below.

Learn more:

Equation of lines: https://brainly.com/question/10252613

#LearnWithBrainly

Final answer:

To graph h(x) = 2sin(2x) - 3 and g(x) = 4cos(2x) - 2, multiply the sine and cosine functions by 2 and 4 for amplitude, adjust the period by halving it due to the 2x factor, and shift vertically by -3 and -2 respectively.

Explanation:

To graph h(x) = 2sin(2x) - 3 and g(x) = 4cos(2x) - 2, you can follow these steps:

Plot the basic sin(x) and cos(x) functions, remembering that for sine, the maximum and minimum values are 1 and -1, and the function starts at 0. For cosine, the function starts at its maximum value of 1.Multiply the sine and cosine values by their respective coefficients, 2 for h(x) and 4 for g(x), to stretch the amplitude accordingly.Incorporate the period change by understanding that the coefficient 2 in front of x will make the functions complete their cycles twice as fast, effectively halving the period to π instead of 2π.Finally, shift each graph vertically by the constants -3 for h(x) and -2 for g(x).

The resulting graphs will show sine and cosine waves with adjusted amplitudes, periods, and vertical shifts. Remember to use 3.14 as an approximation for π to determine the x-values where key points like maxima, minima, and intercepts occur.

The population of growth of a town is 20,000 it decreased at a rate of 9% per year in about how many years will the population be fewer than 13,000

Answers

Answer:

4 years

Step-by-step explanation:

9% of the population is 1800. subtract that to get 18200. thats 1 year. subtract again to get 16400. thats 2 years. again to get 14600. 3 years. and then again to get 12800 which is less than 13000. so its 4 years.

Final answer:

Using the exponential decay formula, it takes approximately 8 years for a town's population of 20,000 to decrease to fewer than 13,000 at a yearly decrease rate of 9%.

Explanation:

The question involves calculating the number of years it takes for a town's population to decrease to fewer than 13,000 given an initial population of 20,000 and a yearly decrease rate of 9%. To solve this, we use the formula for exponential decay, which is P(t) = P₀[tex]e^{rt}[/tex], where P(t) is the population at time t, P0 is the initial population, r is the rate of decrease, and t is the time in years.

Substituting the given values, we have 13,000 = 20,000[tex]e^{-0.09t}[/tex]. Solving for t, we take natural logarithms on both sides, which gives ln(13,000/20,000) = -0.09t, leading to t = ln(13,000/20,000) / -0.09. This calculation yields t ≈ 8.04 years, meaning the population will be fewer than 13,000 in about 8 years.

This is a practical application of exponential decay in analyzing population dynamics, highlighting how populations decrease over time under consistent negative growth rates.

assume that y varies directly with x, then solve.
if y=2 2/3 when x=1/4, find y when x=1 1/8.
y=?

Answers

Answer:

12

Step-by-step explanation:

y = kx

2⅔ = k(¼)

8/3 = k/4

k = 4×8/3 = 32/3

y = (32/3)x

y = (32/3)(1⅛)

y = (32/3)(9/8)

y = 3×4 = 12

Which situation is an example of an observational study?

a.) Having a randomly selected group of students take a pen and paper test and comparing the results with another randomly selected group of students who took the same test on the computer?

b.) Polling voters about their favorite candidates in upcoming elections.

c.) Recording the reaction time of participants in a study who were asked to press a button as soon as they see a certain picture on a screen.

d.) Asking kids in a kindergarten classroom about the average number of pieces of fruit they eat each day.

Answers

Answer:

Step-by-step explanation:

C! hopes this helps

If the dilation is given: triangle ABC->Triangle ¨A¨B¨C under do.2 which of the following is the scale factor.

Answers

Answer:0.5

Step-by-step explanation:

Eileen and her brother Andrew had a bicycle race. Eileen Rode at a speed of 20 ft per second while Andrew Rode at a speed of 15 ft./s. To be fair, Eileen decided to give Andrew a 150 foot Headstart. The race ended in a tie how far away was the finish line from where Eileen started include a graph to support your solution

Answers

Eileen was 600 feet away from the finish line before the race began.

Step-by-step explanation:

Step 1; Eileen rode at a speed of 20 feet per second whereas Andrew rode at a speed of 15 feet per second. So for every second that passes the distance in between decreases by 5 seconds. Assume x is the number of seconds at which the distance in between is 0. The distance in between at the beginning of the race is 150 feet due to the headstart.

Distance between them = Decreasing distance every second × x

150 feet = 5 feet/ second × x

x = 150 feet / 5 feet/second = 30 seconds.

So it takes Eileen 30 seconds to cover the distance between her and Andrew and cross the finishing line at the same time.

Step 2; The race lasted for 30 seconds so we can find the distance Andrew and Eileen traveled by multiplying their speed per second with the total number of seconds.

Distance Andrew traveled = speed per second × total number of seconds

= 15 feet per second × 30 seconds = 450 feet

Distance Eileen traveled = speed per second × total number of seconds

= 20 feet per second × 30 seconds = 600 feet

Graph plot;

The X-axis is time with 5 seconds for each cm

the y-axis is distance with 100 feet for each cm.

Eileen's plot (0,0), (5,100), (10,200), (15,300), (20,400), (25,500), (30,600).

Andrew's plot (0,150), (5,225), (10,300), (15,375), (20,450), (25,525), (30,600).

Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5?A addition B division C subtraction D multiplication

Answers

Answer:

Multiplication

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

-Since there are parentheses you do that first, so multiplication.

Final answer:

The first operation to perform when simplifying the expression is D: Multiplication, specifically within the brackets where it states 54 × 6. The answer is option D.

Explanation:

When simplifying the expression 63 − (2 + 54 × 6) ÷ 5, according to the order of operations, commonly known as PEMDAS or BEDMAS, we must first perform the operation in the Brackets (in American English, Parentheses are used instead of Brackets).

Within the brackets, the correct sequence of operations is Exponentiation, Multiplication/Division (from left to right), and then Addition/Subtraction (from left to right). Since there is no exponentiation in the brackets, we start with multiplication (54 × 6), which will affect the result within the brackets before performing the addition (2 + ...) and then division ÷ 5. Therefore, the first operation to perform is D: Multiplication.

EASY MATH 10 PTS + BRAINLIEST
If (6^2)^p = 6^10, what is the value of p?
a. 2
b. 3
c. 4
d. 5

Answers

Answer:

d. 5

Step-by-step explanation:

How does 4 × 1/2 = 1 explain

Answers

Answer: The answer is not 1 it's 2

Step-by-step explanation:

Multiply 4*1 to get 4

Multiply 1*2 to get 2

Your answer should be 4/2 which equals 2

the answer is 2, not 1.

Dante decided to spent only $20.00of his allowance and save the rest for later. Can he buy 12 packs of baseball cards?Why or why not​

Answers

Answer:

yessssssssssssssssssssssssss

B. Factor the polynomial 64x + 27y. If the
polynomial cannot be factored, write prime.

Answers

Prime it can’t be factored

Answer:

PRIME

Step-by-step explanation:

the GCF of 64 and 27 is 1

>therefore the polynomial is already factored and can’t be factored further.

The sum of a number and two is equal to negative seven. Translate this sentence to an equation and then find the number.

-5
5
-9
9

Answers

Answer:

-9 is correct

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

<3

group of baseball fans can see home plate from a 40 meter tall building outside the stadium. The angle of vision has a tangent of
9
4
. What is the horizontal distance, in meters, to home plate?

Answers

Answer:

17.78 meters

Step-by-step explanation:

Let

x ----> the horizontal distance, in meters, to home plate

[tex]\theta[/tex] ----> the angle of vision

we know that

[tex]tan(\theta)=\frac{40}{x}[/tex] ----> by TOA (opposite side divided by the adjacent side)

we have

[tex]tan(\theta)=\frac{9}{4}[/tex]

substitute

[tex]\frac{9}{4}=\frac{40}{x}[/tex]

solve for x

[tex]x=40(4)/9\\x=17.78\ m[/tex]

An irregular polygon is shown below:

The area of the irregular polygon is




square units.

Answers

Answer:

15 units²

Step-by-step explanation:

The figure is composed of 2 rectangles.

The rectangle on the left has

A = 4 × 3 = 12 units²

The rectangle on the right has

A = (3 - 2) × (7 - 4) = 1 × 3 = 3 units²

Thus area of figure = 12 + 3 = 15 units²

Final answer:

To find the area of an irregular polygon, divide it into regular shapes and sum their areas. The area of a square is simple: side length squared. When scaling, areas of similar shapes increase by the square of the scaling factor.

Explanation:Understanding Area Calculation

To calculate the area of an irregular polygon, we often need to divide it into regular shapes such as triangles, rectangles, or squares. Once we do that, we can calculate the area of each shape and then sum all the areas to find the total area of the irregular polygon. For instance, if an irregular shape fits within a square of side a, its area is less than based on the premise that the area of a circle inscribed in a square is smaller than the square's area yet larger than half. For a square, the calculation is relatively straightforward with the formula for area being side length squared (a²).

Calculating the area becomes even more important when applied to real-life examples, such as surveying land parcels which can have highly irregular outlines. The concept is similar to understanding the relationship between the area of a square and its side length when measuring larger plots of land like a state or a carpet on a house's blueprint. We use scales or conversion factors to translate a drawn measurement to actual size.

The comparison of areas can also be seen in the example where Marta's larger square's area is four times that of the smaller one because areas of similar shapes scale by the square of the scaling factor (in this case, 2).

Learn more about Area Calculation here:

https://brainly.com/question/34380164

#SPJ11

The first equation in the following system gives the
company's cost of making x purses. The second
equation gives the company's income for selling x
purses.
What are the solutions to the system of
equations?
(-23,400, 3,400) and (-1,170, 170)
(-1,170, -23,400) and (170, 3,400)
(274, 726) and (5,480, 14,520)
(274, 5,480) and (726, 14,520)
DONE
y=-0.01(x - 500)2 + 4.489
y = 20x
You used substitution to obtain the equation
0 = -0.01x2-10x+1,989 from the system
Intro

Answers

Answer:

option 2: (-1,170, -23,400) and (170, 3,400)

Step-by-step explanation:

correct answer for e2020

Answer:

B. (-1,170, -23,400) and (170, 3,400)

Step-by-step explanation:

Please show the steps to-

Julie has 81 pieces of jewelry.
She has twice as many earrings as she has necklaces.

Answers

Julie has 27 necklaces and 54 earrings.

Let's assume Julie has x necklaces. Since she has twice as many earrings as necklaces, she would have 2x earrings.

We know that Julie has a total of 81 pieces of jewelry, which includes both necklaces and earrings. Therefore, we can set up a system of equations to represent the given situation:

Equation 1: x + 2x = 81

In Equation 1, we add the number of necklaces (x) and the number of earrings (2x) together, resulting in 81, which is the total number of pieces of jewelry Julie has.

Now, we can solve Equation 1 to find the value of x:

3x = 81

x = 81 / 3

x = 27

So, Julie has 27 necklaces.

To find the number of earrings she has, we can substitute the value of x back into the equation:

2x = 2 * 27

2x = 54

Thus, Julie has 54 earrings.

To know more about equation here

https://brainly.com/question/21835898

#SPJ2

Complete Question:

julie has 81 pieces of jewelry. she has twice as many earrings as she has necklaces How many of each does julie have? Write a system of equations for the situation. (two seperate equations ). find the solution.

Final answer:

Using basic algebra, Julie has 27 necklaces and 54 earrings. We found this by setting up the equation 2N + N = 81, solving for N (number of necklaces), and then multiplying by 2 to get the number of earrings.

Explanation:

The student's question regarding Julie's 81 pieces of jewelry can be solved using basic algebra. We know that the number of earrings is twice the number of necklaces. Let's define the following:

Earrings (E) = 2NNecklaces (N) = NTotal jewelry (T) = E + N

We're given that T = 81, so we can substitute E with 2N to get the equation:

2N + N = 813N = 81N = 27

Hence, Julie has 27 necklaces. Now we can find the number of earrings:

E = 2NE = 2 * 27E = 54

Therefore, Julie has 54 earrings and 27 necklaces.

Other Questions
By what order of magnitude is something that runs in nanoseconds faster than something that runs in milliseconds? How much pure acid is in 440 milliliters of a 19% solution Heptane gas reacts with oxygen gas to give carbon dioxide gas and water vapor (gas). If you mix heptane and oxygen in the correct stoichiometric ratio, and if the total pressure of the mixture is 300 mm Hg, what are the partial pressures of heptane ( 25 mmHg) and oxygen ( 275 mm Hg)? If the temperature and volume do not change, what is the pressure of the water vapor ( 200 mm Hg) after reaction? In criminal procedure context, a rule under which any evidence that is obtained in violation of the accused's constitutional rights guaranteed by the 4th, 5th, or 6th amendments to the U.S. Constitution, as well as any evidence derived from the illegally obtained evidence, will not be admissible in court is called___________- work out the equation of the line which has a gradient of -2 and passes through the point (1,7) (4 points) The following lead compound for a pharmaceutical drug contains a rotatable bond. Using the principles of rigidification, draw two analogs that would enable testing of two different conformations Cardinal Corp, a calendar year taxpayer, receives dividend income of $250,000 from a corporation in which it holds a 10% interest. Cardinal also receives interest income of $35,000 from municipal bonds. (the municipality used the proceeds from the bond issue to construct a library.) Cardinal borrowed funds to purchase the municipal bonds and pays $20,000 of interest on the loan. Excluding these three items, Cardinals taxable income is $500,000. Cardinal has $150,000 of accumulated E & P at the end of the prior year, and it paid Federal income taxes of $200,000 during the year.a. What Is Cardinal Corporations taxable income after these three items are taken into account? 500,000b. What is Cardinal Corporations accumulated E & P at the start of the next year? The Plaza Cafe has an operating cash flow of $78,460, depreciation expense of $8,960, and taxes paid of $21,590. A partial listing of its balance sheet accounts is as follows:Beginning balance Ending balanceCurrent assets 141,680 138,509Net fixed assets 687,810 703,411Current liabilities 87,340 91,516Long-term debt 267,000 248,000What is the amount of cash flow from assets?a) $58,913b) $61,246c) $64,128d) $61,487e) $63,909 Today the economy of Central America is primarily based on agriculture and:tourismautomobile productionfishingnone of the above Round 0.768 to the nearest tenths Which of the following variables are constants in the Cell Homeostasis Virtual Lab? The percent concentrations of sugar solution in beakers B-E The type of solute (dissolved solid) The percent concentration of sugar solution in dialysis tubes B-E The mass of the sugar The amount of water in the beakers The amount of water in the dialysis tubes The amount of time the dialysis tubes are exposed to the sugar solutions in the beakers A molecule from a new organism contains adenine, cytosine, guanine, and thymine. What molecules is being looked at? An EMT is confronted by an armed gunman who is threatening to kill the EMT and his partner. An elevation in the EMT's heart rate and blood occurs in which stage of the body's response to stress? There is no need for us to involve ourselves in the business of Italy. We should deal with our own affairs alone.Which person would most likely make this statement?a pacifistan isolationistFranklin RooseveltBilly Mitchell Why were Moorish rulers initially somewhat tolerant of Christians and Jews in Spain?A. Christians and Jews paid Muslim rulers tribute.B. Christians and Jews labored for free on building projects C. Christians and Jews worshipped one God. D. Christians and Jews converted to Islam. Calculate the mass of sucrose necessary to make a 5% by mass sucrose solution if the solution contains 50.0 ml of distilled water. what is 130/15 simplifed Gabriela recently moved to a city in Florida that is prone to severe weather. Help Gabriela prepare for impending storms by identifying theconditions that lead to each type of severe weather event. A persons salary is $2500 per month. She receives a 10% raise. What is her new salary, in dollars per month?* Write an expression using multiplication. Two mutually exclusive alternatives are being considered for the environmental protection equipment at a petroleum refinery. One of these alternatives must be selected. a. Which environmental protection equipment alternative should be selected? The firm's MARR is 2020% per year. Assume the equipment will be needed indefinitely. Assume repeatability is appropriate for this comparison. b. Assume the study period is shortened to five years. The market value of Alternative B after five years is estimated to be $17 comma 00017,000. Which alternative would you recommend? Assume repeatability is appropriate for this comparison.