The amount of carbon 14 present in a paint after t years is given by A(t)=Ae-0.000121. The paint contains 25% of its
carbon 14. Estimate the age of the paint.

Answers

Answer 1

The age of the paint is 14,290.0 years old

What is the rule of half-life?

For any particular drug, understanding the concept of half-life is helpful in calculating steady-state concentrations and excretion rates. Although different drugs have different half-lives, they all adhere to the same principle: 50% of the initial drug dose is eliminated from the body after one half-life.

What is the half-life of carbon 14?

Since radiocarbon (14C) has a half-life of 5700 30 years, it is especially helpful for dating in archaeology. However, the so-called Gamow-Teller ß-decay, an exceptional hindrance to the beta decay from 14C to 14N, is what causes this half-life to be so long.

According to the given question :-

0.18 = e^(-0.00012t)

ln(0.18) = -0.00012t

t = - ln(0.18) / 0.00012 ≈ 14289.98690076605833 ≈ 14,290.0 years old

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Related Questions

Dance lessons are offered at two studios. The cost of dance lessons at each studio is shown. • Studio Q charges a $30 registration fee plus $80 per month. . Studio R charges a $105 registration fee plus $65 per month. after how many months will the total cost of the dance lessons be equal at the two studios? What will the cost be?​

Answers

Answer:

5 months and the cost is $430

Step-by-step explanation:

Let's start by figuring out the equations for both dance studios.

Q : 30 registration fee plus 80 per month.

R : 105 registration fee plus 65 per month.

We can use the variable m for months.

Registration is a flat fee, so that will be it's own term. Plus the costs per month. We will multiply the costs per month times months, m.

Q :  30 + 80m

R : 105 + 65m

Now, if we want to find out how many lessons until the costs are equal, we need to make the two equations equal to each other.

80m + 30 = 65m + 105

Now, we work backwards to find out what m is.

Subtract 30 on both sides.

80m = 65m + 75

Subtract 65m on both sides

15m = 75

Divide by 15 on both sides to isolate m.

m = 5

After 5 months, the total cost of the dance lessons will be equal at the two studios. To find out the cost, we must multiply the months back in. We can substitute 5 in for any of the equations as they are equal. I will use 80m + 30.

80(5) + 30 = ?

400 + 30 = ?

430 = ?

The cost for both studios will be equal at 5 months, with a cost of $430.

Length (cm): Length (m)

100: 1

250: 2.5

78.2: .782

123.9: 1.239

y: ? I need to know what goes next to the y



Write an equation for the proportional relationship. Let x represent a length measured in meters and y represent the same length measured in centimeters. I don't know what would be the equation.

Answers

The equation for the proportional relationship is x=y×(1/100) where x represents length in meters and y represents same length in centimeters.

What is meant by proportionality?

The phrase proportionality refers to any relationship that always has the same ratio. The quantity of apples in a crop, for example, is proportionate to the number of trees in the orchard, with the ratio of proportionality being the average number of apples per tree.

In mathematics, two sequences of numbers, generally experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant.

Given,

Length(cm): Length(m)

    100         :   1

    250         :  2.5

     78.2        :   782

     123.9       :  1.239

The value that goes next to y is,

y: y×(1/100)

Therefore, x=y×(1/100)

The equation for the proportional relationship is  x=y×(1/100)

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I need help with this please help me

Answers

Answer: A

Step-by-step explanation:

The three angles in a triangle add to [tex]180^{\circ}[/tex]. Therefore, each angle measures [tex]\frac{180^{\circ}}{3}=60^{\circ}[/tex].

What does the term rhetorical situation refer to?
• A. Ideals
that a speaker uses to guide a speech no matter who the
audience is
• B. A specific occurrence in ancient Greece when politicians bullied
the people
• C. The relationship between the speaker, the speaker's style of
address, and the audience's expectations
• D. Parents, teachers, and other adults who are on social networking
sites

Answers

Answer:

Step-by-step explanation:

This term refers to any set of circumstances that involves at least one person using some sort of communication to modify the perspective of at least one other person.

Answer: c

Step-by-step explanation:

j took the quiz on apex

The dinner bill comes to $30, and you want to leave a 20% tip. What is the total cost of the bill?

Answers

The total of cost of the bill will be $36

Answer:

$36

Step-by-step explanation:

First, let us make an expression to solve this using the given information.

For that let the total cost be x.

Amount of the bill                     tip                     total cost

          100                 ⇒               20          ⇒           120

           30                  ⇒               20          ⇒            x

Accordingly,

100 ⇒ 120

30   ⇒  x

Use cross multiplication and solve for x.

100x = 120 × 30

100x = 3600

Divide both sides by 100.

x = $ 36

A positive integer is 6 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is frac(5,9), then find the two integers.

Answers

The two integers are equal to 1 and 7 respectively.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the smaller number. Then the given relationships say ...

1/x + 2/(x+6) = 9/7

Multiplying by 7x(x+6), we have ...

7(x+6) +14x = 9x(x+6)

9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides

9x² +33x = 42 . . . . . . . . ...subtract 21x

3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3

(3x +14)(x -1) = 0 . . . . . . . . factor

Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.

Therefore, the two integers are equal to 1 and 7 respectively.

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HELP ME OUT THANSKSSSSS SO MUCH

Answers

Answer:

10.59

Step-by-step explanation:

Which statement is true about the algebraic expression 450 −15t?


A student has 450 marbles. Each of their t friends gives them 15 marbles. The expression represents the total marbles the student has.


A student has 450 marbles. They give t marbles to each of their 15 friends. The expression represents the total marbles the student is left with.


A student has 450 marbles. They give t marbles to one of their friend and 15 marbles to another. The expression represents the total marbles the student is left with.


A student has 450 marbles. One of their friends gives them t marbles and another friend gives them 15 marbles. The expression represents the total marbles the student has.

PLEASE HELP I'M SOOO CONFUSED

Answers

The statement that is true about the algebraic expression 450 −15t is B. A student has 450 marbles. They give t marbles to each of their 15 friends. The expression represents the total marbles the student is left with.

What is the definition of an algebraic expression?

In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.

In this case, when a student has 450 marbles. They give t marbles to each of their 15 friends.

The expression represents the total marbles the student is left with will be:

= 450 - (15 × t)

= 450 - 15t

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Given the function R(x) = x-7/x+2 find the values of a that make the function less than or equal to zero. Write the solution in interval notation

Answers

The solution for the function R(x) = x - 7 / x + 2 ≤ 0 is −2<x≤7 or x (-2, 7].

What is function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

The function R(x) = x - 7 / x + 2

The given condition x - 7 / x + 2  ≤ 0

Solve the inequality as shown below

Here, the critical points are x = 7 and x = -2

Check the denominator for the critical point, x = -2 will not be suitable for the function as it becomes undefined,

Thus

−2<x≤7 or x (-2, 7]

Therefore, the solution for the function R(x) = x - 7 / x + 2 ≤ 0 is −2<x≤7 or x (-2, 7].

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Lena buys a 32-oz package of cheese. Does she have enough cheese to make 2 batches of mac-and-cheese and 3 pizzas? Explain.

Answers

Answer:

how much oz does it take to make mac and cheese and pizza? will edit when get answer

Step-by-step explanation:

Can someone please help me with my math homework (m^2+2m-8)/(m+4) thanks and have a good day/night/evening.

Answers

Answer:

Below

Step-by-step explanation:

The numerator factors , so you have this:

(m+4)(m-2) / (m+4)         the (m+4) 's cancel and you are left with (m-2)

Suppose that 16 inches of wire costs 80 cents. At the same rate, how many inches of wire can be bought for 45 cents?​

Answers

9 inches. The math: the ratio of 16/80 is equal to 1/5. So, x/45 must also equal 1/5. (x/45=1/5) Multiply both sides of the equation by 45 to isolate the x value; x=9.

Kelly earns $96 in 12 hours. At this rate, how many dollars will she earn in 20
hours?
OA. $160
OB. $240
O C. $200
O D. $80

Answers

96/12 = x/20

Solve it and get the answer.

A. 160
Set up your ratios: $/hours=$/hours
Plug in your values: 96/12=x/20
Cross multiply: 12x=96•20
Multiply then divide: x=160

NO LINKS!! You have 4 contestants in the second heat of the big race:
The equations for the contestants are:
1. Mr. Pace: y= 3/4x + 4
2. Mr. Glintz: y= 2/3x + 7
3. Ms. Liskey: y= 3x
4. Mr. Brininger: y= 1/2x + 10

Answers

Answer:

Part (c):

1st Place:  Ms. Liskey2nd Place:  Mr. Glintz3rd Place:  Mr. Pace4th Place:  Mr. Brininger

Part (d):

1st Pass:     Mr Pace           Time:  1.78 s (2 d.p.)2nd Pass:   Mr Glintz          Time:  3 s3rd Pass:    Mr Brininger    Time: 4 s

Part (e):

y = 3x + 2

Step-by-step explanation:

Given equations:

[tex]\textsf{1.\;\;Mr.\;Pace}: \quad y = \dfrac{3}{4}x + 4[/tex]

[tex]\textsf{2.\;\;Mr.\;Glintz}: \quad y = \dfrac{2}{3}x + 7[/tex]

[tex]\textsf{3.\;\;Ms.\;Liskey}: \quad y = 3x[/tex]

[tex]\textsf{4.\;\;Mr.\;Brininger}: \quad y = \dfrac{1}{2} + 10[/tex]

Plot the lines on the given coordinate plane.

(See attachment).

Draw a line at y = 25 to represent the distance at the finish line.

Find the points of intersection of the linear equation of each contestant and the finish line equation y =25.  The point with the smallest x-value is the contestant who is first place.

Mr Pace

[tex]\begin{aligned}\implies 25&= \dfrac{3}{4}x + 4\\\dfrac{3}{4}x&=21\\x&=28\; \sf seconds\end{aligned}[/tex]

Mr Glintz

[tex]\begin{aligned}\implies 25&= \dfrac{2}{3}x + 7\\\dfrac{2}{3}x&=18\\x&=27\; \sf seconds\end{aligned}[/tex]

Mr Liskey

[tex]\begin{aligned}\implies 25&= 3x\\x&=8.33\; \sf seconds\;(2\;d.p.)\end{aligned}[/tex]

Mr Brininger

[tex]\begin{aligned}\implies 25&= \dfrac{1}{2}x + 10\\\dfrac{1}{2}x&=15\\x&=30\; \sf seconds\end{aligned}[/tex]

Therefore, the order in which the contestants reached the finish line is:

1st Place:  Ms. Liskey2nd Place:  Mr. Glintz3rd Place:  Mr. Pace4th Place:  Mr. Brininger

From inspection of the attached graph, Ms Liskey (red line) passes all three contestants.  To find the time at which she passes the other contestants, substitute her equation into the contestant's equation and solve for x.

Mr Pace

[tex]\begin{aligned}\implies 3x&= \dfrac{3}{4}x + 4\\\dfrac{9}{4}x&=4\\x&=1.78\; \sf seconds\;(2\;d.p.)\end{aligned}[/tex]

Mr Glintz

[tex]\begin{aligned}\implies 3x&= \dfrac{2}{3}x + 7\\\dfrac{7}{3}x&=7\\x&=3\; \sf seconds\end{aligned}[/tex]

Mr Brininger

[tex]\begin{aligned}\implies 3x&= \dfrac{1}{2}x + 10\\\dfrac{5}{2}x&=10\\x&=4\; \sf seconds\end{aligned}[/tex]

Therefore:

1st Pass:  Mr Pace            Time:  1.78 s (2 d.p.)2nd Pass:  Mr Glintz         Time:  3 s3rd Pass:  Mr Brininger    Time: 4 s

If you want to win the race, either:

increase the slope of Ms Liskey's equation:  y = 4xor add a value to Ms Liskey's equation:  y = 3x + 2

Consider the curve given by the equation y² - 6y - 9x² - 144x = 576. It can be shown that dy/dx=
9(x + 8)/ Y-3

Find the x-coordinate of the point where the line tangent to the curve is the x-axis.

Answers

The x-coordinate of the point where the line tangent to the curve is the x-axis is; x = -8

How to Interpret the tangent line to a curve?

To get he x-coordinate of the point that the line tangent to the curve is the x-axis, what we will do is to equate the numerator of the derivative to zero.

Now, we are given the equation of the curve as;

y² - 6y - 9x² - 144x = 576.

We are told that It can be shown that;

dy/dx = 9(x + 8)/(y - 3)

From our earlier definition, the x-coordinate will be at;

9(x + 8) = 0

divide both sides by 9 to get;

x + 8 = 0

x = -8

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What does the slope tell you?
◄ 0.25 ounce of salad costs $1.
25 ounces of salad costs $1.
A salad costs $0.25 per ounce.
A salad costs $25 per ounce.

Answers

Answer: what is the answer?

Step-by-step explanation:

a salad costs $0.25 per ounce!:)

If a person weighs 290 lbs, how much of a dosage should they get every 4 hours if they need to be
administered 11.9 mg/kg? Round to 1 decimal.

Answers

290 lbs is the same as 131.542 kg.

So, they should be administeted (131.542)(11.9) mg, which is about 15.65 mg.

|6y-7|=-1 solve please

Answers

Answer:

  no solution

Step-by-step explanation:

You want the solution to the absolute value equation |6y -7| = -1.

Analysis

The expression on the left side of the equal sign is the output of the absolute value function. That output can never be negative: all negative input values are transformed to positive output values by the absolute value function.

The expression on the right side is negative. There is no value of the variable that will make the absolute value function give a negative output. There can be no solution.

Edna bought a cube-shaped jewelry box that has 7-inch sides. The volume of a cube with side s is s3. What is the volume of the jewelry box?

Answers

The volume of the jewelry box will be;

⇒ 343 inch³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Edna bought a cube-shaped jewelry box that has 7-inch sides.

And, The volume of a cube with side s is s³.

Now,

Since, Edna bought a cube-shaped jewelry box that has 7-inch sides.

Hence, The volume of the jewelry box = 7³

                                                            = 7 × 7 × 7

                                                            = 343 inch³

Thus, The volume of the jewelry box will be;

⇒ 343 inch³

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Solve the following quadratic
function by factoring:
f(x)=x²-10x+9
Enter the number that belongs in the green box.
x = 9; x = [?]

Answers

Answer:

1

Step-by-step explanation:

x²-10x+9 = 0

(x-9)(x-1) = 0

x-9 = 0  =>  x=9

x-1 = 0  =>  x=1

SOLVE FOR N

3/2 -1/2n= 2n+3
N =

Answers

Answer: n= -3/5 OR n= -0.6

Step-by-step explanation:

exact form and decimal form

Which set of rational numbers is arranged from least to greatest? (4 points) a −3.5, negative 1 over 4 , 2, 1 over 3 b −3.5, negative 1 over 4 , 1 over 3 , 2 c 2, 1 over 3 , negative 1 over 4 , −3.5 d negative 1 over 4 , 1 over 3 , 2, −3.5

Answers

The set of rational numbers arranged from least to greatest is -3.5, -1/4, 1/3, 2, which is option (b).

What is a rational number?

Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.

The given sets of rational numbers are:

(a) -3.5, -1/4, 2, 1/3

(b) -3.5, -1/4, 1/3, 2

(c) 2, 1/3, -1/4, -3.5

(d) -1/4, 1/3, 2, -3.5

Note that 1/4 = 0.25 and 1/3= 0.33

Therefore, the set of rational numbers arranged from least to greatest is -3.5, -1/4, 1/3, 2, which is option(b).

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PLEASE HELP WILL GIVE BRAINLIST -3(0.5+3p)=-6(p-5.9) show ur full work in liner questions form i will get my alt and answer to get u brainliST
50 POINTS!!

Answers

Answer:

p = - 123/10 = -123/10 = -12.3

Step-by-step explanation:

-3(0.5 + 3p) = -6(p - 5.9)

Use the distributive property to multiply -3 by 0.5 + 3p

-1.5 - 9p = -6 (p - 5.9)

Use the distributive property to multiply -6 by p - 5.9

-1.5 - 9p = -6p + 35.4

Add 6p to both sides

-1.5 - 3p = 35.4

Add 1.5 to both sides

-3p = 35.4 + 1.5

Add 35.4 and 1.5 to get 36.9

-3p = 36.9

Divide both sides by -3

p = 36.9/-3

Expand 36.9/-3 by multiplying both numerator and the denominator by 10.

p = 369/-30

Reduce the fraction 369/-30 to lowest terms by extracting and canceling out 3.

p = -123/10

What are the distances from the point (x, y) to the focus of the parabola and the directrix?
Select two answers.
distance to the focus: √(x+3)²+(y-3)²
distance to the directrix: |y+4|
distance to the focus: √(x+3)²+(y-2)²
distance to the focus: √(x-2)²+(y+3)²
distance to the directrix: |y-4|
distance to the directrix: |x-4|

Answers

The distances from the point (x,y) are given as follows:

Distance to the focus: √(x+3)²+(y-2)².Distance to the directrix: |y - 4|.

How to obtain the distance between two points?

Suppose that we have two points with coordinates given by [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates of the focus of the parabola are given as follows:

(-3,2).

Hence the distance of the point (x,y) to the focus of the parabola is given as follows:

√(x+3)²+(y-2)².

The equation that defines the directrix is given as follows:

y = 4.

The y-coordinate of the point is of:

y.

Hence the distance is of:

|y - 4|.

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Solve the system of equations using any method
y = x^2 + 4
y = 2x + 4

Answers

The solution of the system of equation is as follows;

x = 2y = 8

How to solve system of equation?

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Let's solve the system of equation using substitution method as follows:

y = x² + 4

y = 2x + 4

Therefore,

2x + 4 = x² + 4

x² - 2x   = 0

x² = 2x

x = 2

Let's find y

y = 2x + 4

y = 2(2) + 4

y = 4 + 4

y = 8

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Write 50.001 in word form

Answers

Fifty and one hundredths

Graph the linear equation y = –2x + 6 on the coordinate plane.

Answers

The graph of the function y = - 2x + 6 is plotted and attached.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following equation of line -

y = - 2x + 6

Given is the following equation of line as -

y = - 2x + 6

The slope of the line would be [- 2] and the [y] intercept would be [6].

Refer to the graph attached.

Therefore, the graph of the function y = - 2x + 6 is plotted and attached.

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Will mark brainliest :)

Answers

Answer:

hope it helps!

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

8y ≤ 10x  Divide both sides by 8

y ≤ 5/4x  Simplified

See the attached picture.  This is crossing the y axis at 0.  If you start at (0,0) and go up 5 and to the right 4.  You will see the second point graphed.  This demonstrates the slope of the line.  ≤ tells us that we are including everything below the line.

You should check out Desmos.  It is a free graphing program.  It is cool.

helppppp plsssssss
what is the average rate of change of the function on the interval from x = 3 to x = 5? f(x)=10(2)x Enter your answer in the box.

Answers

The average rate of change of the function on the interval from x = 3 to x = 5 is 40.

What is meant by average rate of change?

In mathematics, the average rate of change is a measure of how much a dependent variable (such as y) changes in proportion to a change in the independent variable (such as x). It is calculated by dividing the change in the dependent variable by the change in the independent variable during a certain time period. If the value of y rises by 5 units when the value of x rises by 2 units, the average rate of change is 5/2 Equals 2.5 per unit change in x. Calculus students frequently use this idea to compute the slope of a line on a graph or to calculate the rate at which a function changes. It is a crucial idea in several domains.

How to solve?

f(x) = 10(2)x,the interval is from x = 3 to x = 5

At x = 3,  10(2)3 = 80

at x = 5, 10(2)5 = 160

total change over the interval from x = 3 to x = 5 is 160 - 80 = 80.

the length of the interval is 5 - 3 = 2,

average rate of change is 80 / 2 = 40.

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The functions f(x) and g(x) are shown in the graph. What is g(x)?

Answers

The answer is D
g(x)=(x-2)^2
Other Questions
the shear strength of each of ten test spot welds is determined, yielding the following data (psi): 392 376 401 367 389 362 409 415 358 375 a. assuming that shear strength is normally distributed, estimate the true average shear strength and standard deviation of shear strength using the method of maximum likelihood. b. again assuming a normal distribution, estimate the strength value below which 95% of all welds will have their strengths. [hint: what is the 95th percentile in terms of m and s? now use the invariance principle.] c. suppose we decide to examine another test spot weld. let x 5 shear strength of the weld. use the given data to obtain the mle of p(x This program requires the main function and a custom value-returning function. In the main function, code these steps in this sequence:use a list comprehension to generate 50 random integers all from -40 to 40, inclusive. These represent Celsius temperatures.use an f_string to report the lowest and highest Celsius temperature in the list.determine if 0C is in the list. If it is report the index where it first occurs. If it isn't in the list, report that, too.use a random module method to create a sublist of 10 unique Celsius temperatures. sort this sublist in ascending order.pass the Celsius sublist as the sole argument to the custom value-returning function.In the custom function:use either a loop or a list comprehension to create a list of 10 Fahrenheit temperatures equivalent to the Celsius temperatures. A bonus of 3 points will be awarded if a list comprehension is employed.return the Fahrenheit list to main.Back in main:use a for loop and the range function to print a table showing the equivalent Celsius and Fahrenheit temperatures in columns with widths that you choose.include column headings and display the averages as shown below. jacob is an american, has been a smoker since he was 21, and is now 48 years old. if he continues to smoke, his smoking habit might shorten his life expectancy by an average of how many years? valinda is an american child who took the assessments for the timss three years ago when she was in the fourth grade. when the mathematics achievement results were calculated, how did scores for her american cohort compare with scores for children around the world? A wooden loop and a wire loop, both with the same shape and size, are placed next to the north poles of identical magnets. Then, the loops are moved closer to and farther from the magnets in exactly the same way. The emf generated around the wooden loop is zero. O less than the emf generated around the wire loop. equal to the emf generated around the wire loop. O greater than the emf generated around the wire loop. Which of the following assessment findings should concern the EMT the MOST when assessing a child who experienced a seizure?Neck stiffness Which of the following is NOT one of the seven core elements of an effective occupational safety and health program? a) worker participationb) punishment for accidents and injuries c) hazard identification and assessment d) education and training After completion of the citric acid cycle, most of the usable energy from the original glucose molecule is in the form of __________.A. acetyl CoAB. ATPC. CO2D. FADH2E. NADH immediately after the liberation what did elie think of more than anything else? An individual bank can safely lend only an amount equal to its excess reserves, but a commercial banking system can lend(A) based on the amount of the reserves held in the Federal Reserve Banks.(B) based on the amount of tis collective excess reserves.(C) by a multiple of its collective excess reserves.(D) based on the amount of its total demand deposits. when viewed from the air, the bighorn river cuts across the sheep mountain anticline. as sheep mountain is a topographic high and barrier to streamflow, how was the river able to establish itself and eventually erode through the anticline? How does the plot reflect the realist nature of the story? pre-frq preparation: identify and explain what threatened the sugarcane crop in australia in the 1930s. describe what australians did in response to the threatened sugar cane crop. explain how efficient or inefficient cane toads were at eating cane grubs and beetles. describe how cane toads kill fish. describe how cane toads altered the ecosystem of australia. A two-year-old boy was brought to the emergency department because of vomiting. About 30 minutes prior, he was found by his parents with an open bottle containing ferrous fumarate tablets. The mother estimates about five tablets are missing, and each tablet contains 65 mg of elemental iron. The boy had three episodes of non-bloody vomiting. The physical examination is essentially normal except for tachycardia. Which of the following is the next best step?get serum iron level four hours after ingestionThe patient has symptoms and a history compatible with iron toxicity. The severity of an exposure is related to the amount of elemental iron ingested. Ferrous sulfate contains 20 percent elemental iron, ferrous gluconate has 12 percent, and ferrous fumarate contains 33 percent. Iron is directly corrosive to the GI mucosa, which can lead to hematemesis, melena, ulceration, infarction, and potential perforation. For significant ingestions (> 20 mg/kg of elemental iron), especially when tablets are identified on the abdominal radiograph, whole-bowel irrigation with a polyethylene glycol electrolyte lavage solution (PEG-ELS) is routinely recommended. Iron toxicity is described in four stages. The initial stage, 30 minutes to six hours after ingestion consists of profuse vomiting and diarrhea, abdominal pain, and significant volume losses, leading to potential hypovolemic shock. The second stage, six to 24 hours after ingestion, is the quiescent phase where GI symptoms typically resolve. In the third stage, occurring 12 to 24 hours after ingestion, patients develop multi-system organ failure, shock, hepatic and cardiac dysfunction, acute lung injury, and profound metabolic acidosis. Symptomatic patients and patients with a large exposure by history should have serum iron levels drawn four to six hours after ingestion. Serum iron concentrations of < 500 g/dL four to eight hours after ingestion suggest a low risk of significant toxicity, whereas concentrations of > 500 g/dL indicate significant toxicity. Keiko is riding a skateboard 2 m/s, west. How long will it take her to reach a velocity of 8 m/s, west if her acceleration is 2 m/s2?By definition, acceleration is the measure of a velocity change in time. In a particular case when the acceleration is constant, the velocity of an object is changed uniformly (linearly) with time.If we denote the initial velocity as V_0, the constant acceleration as a and the time since the initial moment as t, then the new speed V at time t will beV=V_0+at.In our problem the velocities and the acceleration are given, and we need to solve the above equation for t. It is simple:t=(V-V_0)/a=(8-2)/2=3(s).This is the answer. Note that it is important that the initial velocity and the final velocity have the same direction (west). If they would have opposite direction, one of them should be taken with a minus sign, and the acceleration might be negative. 2. In the Gettysburg Address, what did Lincoln say was at stake in the war? What would you like to know that you did not learn from the museum? (WW1 museum) The federal government responded to work stoppages called by unions during the late 1800s by taking which action?MULTIPLE CHOICE!!!!- using troops to force strikers to go back to work- establishing the right to collective bargaining- enforcing antitrust laws and court rulings more aggressively- passing labor-friendly legislation and regulations if the final pressure is 1.76 atm , what was the initial pressure? express your answer in atmospheres. 1. Malik wants to buy his brother a hover board for his birthday.He was hoping to spend only $150 total on his gift. Target washaving a 20% off sale on their hoverboards. Can Malik affordthe hoverboard with the discount?