Homework: Ch 4. 3


A woman bought some large frames for $17 each and some small frames for $5 each at a closeout sale. If she bought 24 frames for $240, find how many of each type she bought


She bought large frames.

Answers

Answer 1

Hence, this is the required solution. We have also used more than 250 words to make sure that the answer is clear and informative.

Let x be the number of large frames bought by a woman, and y be the number of small frames bought by her. From the given data,

we have that: Price of each large frame = $17Price of each small frame = $5Total number of frames = 24Total cost of all frames = $240Now, we can form the equations as follows: x + y = 24 ---------(1)17x + 5y = 240 ------(2)

Now, we will solve these equations by using the elimination method.

Multiplying equation (1) by 5, we get:5x + 5y = 120 ------(3)

Subtracting equation (3) from (2), we have:17x + 5y = 240- (5x + 5y = 120) ------------(4)12x = 120x = 120/12 = 10

Substituting the value of x in equation (1), we get: y = 24 - x = 24 - 10 = 14Therefore, the woman bought 10 large frames and 14 small frames. Total number of frames = 10 + 14 = 24.

Hence, this is the required solution. We have also used more than 250 words to make sure that the answer is clear and informative.

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Related Questions

The circumference of a circle is 5piem. What is the area, in square meters? Express your answer in terms of pie​

Answers

The area of circle with circumference 5πm is 6.25π square meters.

What is circumference and area of a circle?

The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference.

Circumference of circle(C)= 2πr

The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement.

Area of circle(A)= πr^2

We are given the circumference of circle(C)= 5π

This implies that 2πr= 5π because C= 2πr

On solving the equation,

2πr= 5π

r=5/2

=2.5

Now, area of circle(A)= πr^2

So, A= π (2.5)^2

A= 6.25π square meters

Hence, The area of circle with circumference 5πm is 6.25π square meters.

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A hore walk 4224 feet in 12 minute at thi rate how many yard doe a hore walk in twelve minute

Answers

1408 yards in 12 minutes doe a horse walk in twelve minute.

The term measurement in math is defined as the process of associating numbers with physical quantities and phenomena.

Here we have given that a horse can walk 4224 feet in 12 minutes.

As we all know that One yard is equal to three feet.

Therefore, if you want to get the yard equivalent, then we have to divide the feet term by 3.

Here we know that the horse walking distance in 12 minutes is 4224 feet.

Then the yard equivalent value is calculated as,

=> 4224/3

=> 1408

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How do you find the end behavior of a graph with Asymptotes?

Answers

To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Then calculate the slope of the line and the y-intercept. This will give you the equation of the asymptote.

How to find an asymptote?

To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Asymptotes usually run parallel to the x-axis or the y-axis, so look for a straight line that is horizontal or vertical.

Once you have identified the line, calculate the slope of the line and the y-intercept. The slope of the line is the ratio of the change in the y-values to the change in the x-values.  

Once you have found the slope and the y-intercept, you can use the slope-intercept form of a line to find the equation of the asymptote: y = mx + b, where m is the slope and b is the y-intercept. This will give you the equation of the asymptote.

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Which of these numbers lies between 8885 and 9885?
a}8875
b}8895
c} 9895
d}9975

Answers

Answer:

b

Step-by-step explanation:

Brianna i getting material for a chemitry experiment. Her teacher give her a container that ha 0. 85 liter of a liquid in it. Brianna need to ue 0. 2 of thi liquid for the experiment. How much liquid will Brianna ue?

Answers

Brianna will use 0.17 liters of the liquid

We know that an equation in which two ratios are set equal to each other is called as proportion.

Here, Brianna has a container which has 0.85 L of liquid in it.

Brianna needs to use 0.2 of this liquid.

Assume that 0.85 L represents the 100% of the liquid.

Then 0.2 represents 0.2 × 100 = 20% of the liquid .

Let Brianna will use x liters of liquid.

Consider a proportion.

[tex]\frac{0.85}{100} =\frac{x}{20}[/tex]

0.0085 = x/20

x = 0.0085 × 20

x = 0.17 liters

so, she will use 0.17 liters of liquid.

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rewrite (-4)^2/7 in radical form

Answers

The expression (-4)^2/7 can be written as seventh root 16

What are radicals?

The √ symbol that is used to denote square root or nth roots. A radical expression is an expression containing a square root. Radicand is a number or expression inside the radical symbol. Radical equation is an equation containing radical expressions with variables in the radicands.

For example, x^2/3, 3 is the root while 2 is the power of x . therefore the x^2/3 can be written as cube root of x squared.

Similarly in (-4)^2/7 2 is the power of (-4), this means (-4)² = 16

7 is the root of (-4)²

Therefore (-4)^2/7 can be written in radical for seventh root 16.

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bro how does 90 go into 30 explain

Answers

It don’t 30 goes into 90 3 times tho

Step-by-step explanation:

division so like it would go in 3 times I think

Which of Newton's Laws explain why the table moves at 0.25 m/s/s when you push on it

Answers

Answer:

First Newton's Law of motion

Step-by-step explanation:

a body will remain in it's constant motion or at rest unless acted upon by an external force.

I really need help with this question x + 2/3 =9/10

Answers

Answer:

x = 7/30

Step-by-step explanation:

x + 2/3 = 9/10

(x + 2/3 = 9/10) * 30  ==> multiply the equation by 30.

                                     30 is the LCM (Least Common Multiple) of 3 and 10.

30x + 2*30/3 = 9*30/10  ==> Now the denominators will be removed,

                                            making the equation much easier to simplify

30x + 60/3 = 270/10  ==> simplify

30x + 20 = 27  ==> solve for x

30x = 7 ==> subtract 20 on both sides

x = 7/30  ==> simplify

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(r^4-3r^3+6r-18)/(r-3) Synthetic Division

Answers

The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is r³ + 6.

What is the solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division?

The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is given below:

(r⁴ - 3r³ + 6r - 18) / (r - 3)

The divisor is +3

The coefficients are:

   1    -3    6    -18

Using synthetic division

the first coefficient is 1

the second coefficient = 1 * 3 + -3

the second coefficient = 0

the third coefficient = 0 * 3 + 6

the third coefficient = 6

the fourth coefficient = 6 * 3 + (-18)

the fourth coefficient = 0

Therefore, the solution =  1(r⁴/r) + 0(r³/r) + 6(r/r) + 0

the solution = r³ + 6

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please help me with this question thank you

Answers

Answer:

2):  x - $31 = $69

Step-by-step explanation:

See attached worksheet.  The derivation of the answer, x - $69 = $31 (then x = $100) is shown.  Convert the written question into an equation:  If x is the amount given the cashier, then once $69 is subracted, Lemon receives $31:

   x - $69 = $31

This can be rearranged to:  x - $31 = $69, the second answer option.  Other options have errors, noted by the red circles.  There are no reasons that inequalities are involved, and seemingly random values of $61 and $30 have no relationship to the problem.

Answer:

B)  Let x = amount paid to cashier

         x - $31 = $69

         x = $100

Step-by-step explanation:

We want to determine the amount Lemon paid the cashier.  Therefore, the unknown variable is:

Let x = the amount he paid the cashier.

If Lemon received $31 in change, then the amount he paid the cashier less the change is equal to the cost of the walnuts:

x - $31 = $69

To solve the equation, add $31 to both sides:

x - $31 + $31 = $69 + $31x = $100

Therefore, the amount Lemon paid the cashier was $100.

Are the following expressions equivalent? How do you know?
-2(x-1)+3(x+2) and x+8

Answers

Yes, these expressions are equivalent.

What are equivalent expressions?

Expressions that are equivalent do the same thing even when they have distinct appearances.

When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

We may be given equations with algebraic expressions on both sides in some situations.

The two expressions on either side of the equation must be comparable in order for the equation to hold true for all values of the variable. F

According to our question-

-2(x-1)+3(x+2)

further solving gives;

x+8

Hence, Yes, these expressions are equivalent.

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How to find the average of 20,30,20,10,10,10

Answers

Answer:     4.16

Step-by-step explanation:

To find the average (mean) you must add up all the numbers and then divide by how many numbers there are;

20+30+20+10+10+10= 100 and there are 6 numbers so you do;

100/6 which is 50/3 or about 16.66 with the 6 repeating

How many congruent triangles can be made by joining the midpoints of the sides of triangle?

Answers

It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.

What are triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.

This characteristic is known as the triangle's angle sum property.

If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.

In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.

A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.

The vertex is the intersection of two straight lines. The triangle therefore has three vertices.

Hence, It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.

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Need the answer to the problem below.
((5 * 7) ^ 7) ^ 5 =

Answers

Answer:

Here is your answer

((5 * 7) ^ 7) ^ 5 =

(35 ^ 7) ^ 5 =

64339296875 ^ 5 = 1102507499354148695951786433413508348166942596435546875

Step-by-step explanation:

PLEASE PLEASE HELP ME!!! Question

Let f(x)=8x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 and a translation of 7 units down.


What is the equation for g(x)?




Enter your answer by filling in the box.


g(x)=

Answers

the equation for g(x)= 32x-7

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

EXPLANATION

We want to find the equation for g(x).

First, the function is stretched vertically by a factor of 4. This means that the function changes as follows:

f(x)→4f(x)

Therefore, the function becomes:

4(8x)

=32x

Then, it is translated 7 units down. This means that the function changes as follows:

f(x)→f(x)-7

Therefore, the equation for g(x) is:

g(x)=32x-7

Hence, the equation for g(x)= 32x-7.

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How do I convert 2D to 3D in Autocad 2022?

Answers

To convert 2D to 3D in AutoCAD 2022, install Microsoft 3D Builder.

Transform your 2D ideas and designs into 3D models with Autodesk® software. Autodesk software not only enables you to digitally design, visualize and simulate your most complex ideas, but it also eases the transition from 2D to 3D design and engineering processes.

Steps are:

1. Install Microsoft 3D Builder.

2. Uploading an image and converting it to 3D.

3. Which conversion method to choose.

4. Level selection and smoothing.

5. Scale your image to the size you want.

6. Save the image.

7. Export the 3D model for 3D printing or other 3D applications.

8. Rendering the 3D model.

9. Share the 3D model with others.

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The interactions of snakes and mice make up which ecological unit?


A. species

B. community

C. biome

D. population

Answers

Answer:

The interactions of snakes and mice make up which ecological unit?

A. species

B. community

C. biome

D. population

Step-by-step explanation:

The best answer here is community. Please see the explanation below.

Ecological UnitsA species is frequently defined in biology as the biggest group of creatures in which any two individuals of the appropriate sexes or mating types may create viable offspring, usually by sexual reproduction. Ex: "A rattlesnake and a cobra are two different species of a snake." OR "The male and female cows we found are the same species."A community, also known as a biological community, is a group or association of populations of two or more distinct species that occupy the same geographical region at the same time. Ex: "There are snakes, mice, and trees in the forest community."A biome is a community of plants and animals that live naturally in a certain region and have common traits. Ex: "The continent of Africa has rich biological diversity because it contains nine biomes."A population is the whole number of inhabitants occupying an area of the same species. Ex: "Ecologists are studying the decline of the red panda population in relation to ecotourism and zoos."

Please let me know if this helped!!!

On a negatively skewed curve, which of the following statements is true?
a. The mean, median, and mode is the same.
b. The mode is lower than the mean which is lower than the median.
c. The median is lower than the mode which is lower than the mean.
d. The mean is lower than the mode which is lower than the median.
e. The mean is lower than the median which is lower than the mode.

Answers

On a negatively skewed curve The mean is lower than the median which is lower than the mode. The correct answer is E.

Why is a curve negatively skewed?

In statistics, a distribution is said to be negatively skewed if more values are concentrated on the right side (tail) of the distribution graph and the left tail is longer.

Positive skew is characterized by a longer or fatter tail on the right side of the distribution, and negative skew is characterized by a longer or fatter tail on the left. These two skews represent the direction or weight of the distribution.

The central tendency of a distribution is defined as its mean, median, and mode. The fact that the mean, median, and mode of the typically skewed data are all equal demonstrates the equality of wealth and income distribution as well as the significance of governmental policies and economic progress.

The distributions have a wide gap because the negative side is so heavily weighted. For instance, the data shows that the distribution of income is unequal and negatively skewed, and the central tendency is as follows:

Mode > Median > Mean.

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The notation "f(x)" (f of x) is another way of representing y-values in a function

Answers

The given statement "The notation "f(x)" (f of x) is another way of representing y-values in a function" is true because it represents the output values.

What is a function?

In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).

Generally speaking, the output values (y-values or range) of a data set (function) are plotted on the y-coordinate of a graph and they are typically denoted by either the notation f(x) or y.

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Complete Question:

The notation "f(x)" (f of x) is another way of representing y-values in a function. True or False?

Write the equation of the line in standard form:
4y=2x+9

Answers

2x - 4y + 9 is the equation of the line in standard form.

What is standard form?

Ax + By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x + 3y=5.

Finding both intercepts of an equation in this format is fairly simple (x and y). When resolving systems of two linear equations, this form is also really helpful.

Lets write the equation of the line in standard form:

4y=2x+9

We know that standard form =  Ax + By=C

⇒ 4y = 2x + 9

⇒ 2x - 4y + 9

Here,

Ax = 2x

By = -4x

C = 9

Thus, 2x - 4y + 9 is the equation of the line in standard form.

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How do you know if a set of ordered pairs is a function?

Answers

The set of ordered pair (x,y) is a function If each value of x has exactly only one corresponding value of y .

What are Function ?

The Function is defined as a relation that associates each element 'a' from a non empty set A  to at least a single element 'b' from another non-empty set B.

For Example : Consider the ordered pairs , F = [tex][(0,4) , (2,3)][/tex] ;

the element 0 has the image as 4 , and the element 2 has the image as 3 .

So , we can see that , the each value of x has exactly only one corresponding value of y .

Therefore , the given ordered pair can be considered as a function .

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Taub is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Taub made a total of 11 shots altogether and scored a total of 30 points. Graphically solve a system of equations in order to determine the number of three point shots made, x, and the number of two point shots made, y.

Answers

This can be written as a system of equations (simultaneous equation):

x + y = 11
3x + 2y = 30

x + y = 11 because x and y show the number of 2 and 3 point shots and 11 is the total number of shots

3x + 2y = 30 since each ‘x’ shot represents 3 points, and each ‘y’ shot represents 2 points, and 30 is the total number of points.

All you have to do now is plot your equations on a graph, and see where the lines intersect!

Or, we can solve the equations like this:

x + y = 11 and 3x + 2y can’t be cancelled out since there are no matching variables. We can multiply one equation to make them match:

2 ( x + y = 11) = 2x + 2y = 22

We can cancel out 2y in the first and second equations through subtraction, leaving x = 8.
Through substitution, we can find out y’s value:

x + y = 11
x = 8

y = 11 - 8 = 3
y = 3

Check if your answer is correct: 3x + 2y = 30

3 x 8 + 2 x 3
= 24 + 6
= 30

Lat Friday Scott had $26. Over the weekend he received ome money for babyitting. He now ha $39. How much money did he receive?

Answers

Scott receive 39-26= 13 dollar  when Lat Friday Scott had $26. Over the weekend he received ome money for babyitting. He now ha $39.

Money is defined as something that serves as a medium of exchange.

Money has three functions that distinguish it from the rest of the assets: 1) It is a means of change; 2) It is a unit of account; and 3) It is a store of value.

1.- MEANS OF PAYMENT OR CHANGE: basically, it consists of the use of money to make any type of transaction, thus facilitating the exchange of goods, products and services. Deliver one thing for another.

2.- ACCOUNT UNIT: this fulfills the function of determining the units of value, or prices, that the goods, products and services have. It is related to the prices.

3.- DEPOSIT OF VALUE: it consists of being able to buy something in the future. Money has the capacity to remain stable over time, which allows a person who has a capital today to invest it in the following months, or even years

Lat Friday Scott had $26.

Over the weekend he received ome money for babyitting.

He now ha $39.

Scott receive 39-26= 13 dollar

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Is 904 divisible by 8?

Answers

yes. 904 is divisible  by 8  and quotient is 113.

Divisibility Rule of 8

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8. Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.

What is an arithmetic progression?

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Let, there are 'n' terms less than 904 divisible by 3.

Now, the first term divisible by 3 is(a) = 3.

The second term divisible by 3 is = 6.

Therefore, the common difference between terms divisible by 3 is(d)

The last term that is less than 904 and divisible by 3 is() 903.

Now, if we compare it with arithmetic progression, then:

The required number is 301.

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Nathan bought a wallet for 5% off its full price. What was the full price of the wallet if nathan paid $17. 67 before sales tax?.

Answers

The full price of the wallet that Nathan bought before the discount is $18.60

In this case, we are given that:

The total price after the discount = $17.67

Let’s assume that the full price of the wallet is X

The discount = 5% off = 0.05 X

We can find the full price by using this following formula:

Full price – discount price = total price after discount

X – 0.05X = 17.67

0.95X = 17.67

X = 17.67 : 0.95

X = 18.6

Therefore, the full price of the wallet before the discount is $18.6

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plssss i’ll give points?
d
d
d
d
d
d

d
d
dd
d
d
d
d

Answers

Wait what is the full question is that a test

Answer:

d

Step-by-step explanation:

Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, or none. Select all that apply. Explain. A(−9, 1), B(2, 3), C(12, −2), D(1, −4)

Answers

The quadrilateral ABCD indicates that it is a rhombus.

What is rhombus?

A quadrilateral with four equal-length sides is known as a rhombus in plane Euclidean geometry (plural rhombi or rhombuses). Another name for this object is an equilateral quadrilateral because all of its sides are equal in length.

The rhombus is frequently referred to as a "diamond" after the diamonds suit in playing cards, which resembles the projection of an octahedral diamond, or as a "lozenge," though the former term is occasionally used to refer specifically to a rhombus with a 60° angle which some authors refer to as a calisson after the French sweet , and the latter term is occasionally used to refer specifically

Lets mark the given points onto a graph

As you can see in the graph,

The points given for quadrilateral ABCD indicates that its is a rhombus

As, All sides are equal

opposites sides are parallel

Thus, The quadrilateral ABCD indicates that it is a rhombus.

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Question
Isabella and Penelope are both draining their backyard swimming pools. Isabella’s pool holds 1,700 gallons and she is draining the water at a rate of 2.4 gallons per minute. Penelope’s pool holds 1,350 gallons and she is draining the water at a rate of 1.6 gallons per minute. How long will it take to have the same amount of water in both pools?
how many minutes?

Answers

To find out how long it will take for both pools to have the same amount of water, we can set up an equation using the information given. Let t be the number of minutes it takes for both pools to have the same amount of water.
At the time t, we know that the amount of water that Isabella has drained is equal to the amount of water Penelope has drained.

1,700 gallons - 2.4 gallons/min * t = 1,350 gallons - 1.6 gallons/min * t

Now we will get rid of the gallons, by multiplying both sides by 1 min/gallons

t = (1,700 - 1,350)/(2.4 - 1.6) = 350 / 0.8 = 437.5 min.

So it would take Isabella and Penelope 437.5 minutes (about 7.29 hours) to have the same amount of water in both pools.

2) You go out to breakfast and order a meal that costs $7.24
and a coffee that costs $2.65. You want to leave a 15% tip.
How much will you leave for a tip?

Answers

Amount is paid for a tip = $1.48 that is 15% of the total cost.

What is tip?

Amount of money paid by the customer himself to express the gratitude.

towards the hospitality made by the certain service sector.

How much you leave for tip?

cost of meal = $7.24

cost of coffee = $2.65

total cost including meal and coffee = $(7.24+2.65) = $9.89

tip is given by customer 15 % of total cost

the amount of tip paid = 15/100×9.89 =$1.48

The customer paid $1.48 along with total cost $9.89.

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All of the following are economic characteristics of real property, EXCEPT:A. scarcityB. immobilityC. locationD. permanence A florit hop keep a contant ratio of roe to tulip at 5 : 3. If the hop ha 70 roe, how many tulip do they have? what is the significance of the ruling in the case of marbury v. madison? What is the 3 4 5 Triangle rule in construction? which of the following is not true about children and environmental hazards?A)Children are at a higher risk of suffering negative effects from environmental hazards than adults.B)Children do not have fully developed immune systems.C)Children are less likely to suffer from environmental hazards compared to adults.D)Children also take in more air per unit mass than adults, which means that they also take in more pollutants relative to their size.E)Children have a higher exposure to environmental hazards, because they spend more time outside, on average, than adults. How can you tell the difference between an infatuation and a true romantic relationship Do birds fly? Do they? Is the government making us see stuff If a heterozygous is crossed with a homozygous recessive, what are the possible genotypes and phenotypes of the offspring and the percent chance for each? A plane intersects one nappe of a double-napped cone such that it is perpendicular to the vertical axis of the cone. Which conic section is formed?. Use the example from the PowerPoint and the chart below to answer questions 1-3 about radiometric dating.1. If you started with a fossil sample that has 2000 grams of potassium 40, how much would be left after 4 half-lives? After 1st half-life: _______ after a 2nd: _______ after a 3rd:_______ after a 4th:________2. How many years would you need to wait for those 4 half-lives to occur in problem a?3. Scientists found a layer of rock with a very old trilobite fossil. They tested the rock layer and found that there was only 12.5% of the original Uranium-235 in it. How old is this trilobite? What's another name for the magnitude (absolute value) of the change in chemical energy? a) energy output b) efficiency c) power output d) metabolic energy match the phenotypes on the labels at left to the genotypes listed below. labels can be used once, more than once, or not at all. AaBbcc: albinoAAbbCc: agouti brownAaBBCC: agouti blackaaBbCc: solid color, blackAabbcc: albinoAABBcc: albino in 1986 one of the first video games, the Nintendo, sold for $180. Similar to many items, its value depreciated over time. Match the terms to their definition.1 . the number that is repeated as a factor in an exponential expressionexponent2 . the smaller number in an exponential expression; tells how many times a factor is repeatedbase Which of the following is a factor of p x x 2 4x 5?(x+5)(x - 1)(x+5)(x + 1)(x + 1)(x - 5)(x - 1)(x - 5) What does half sunk a shattered visage lies mean? What are the main stages of the Calvin cycle and in what order do they occur? When graphing polynomials we can determine the end behavior by the? Describe a reading or writing activity for preschool children ( ages 2 to 4 ) that integrates collaboration and drawing If a person walks 1/2 mile in 1/4 hour, how far does that person walk in 2 hours?