a wooden artifact from an ancient temple has a 14c activity of 38.0 counts per minute as compared with an activity of 58.2 counts per minute for a standard at zero age. the half-life of 14c is 5715 years. what is the age of the artifact?

A figure cannot be reflected across three lines of reflection so the image is the original figure

Given is a statement -

"Can a figure be reflected across three lines of reflection so the image is the original figure".

No, a figure cannot be reflected across three lines of reflection so the image is the original figure. For the number of reflections equal to 3, which indicates an odd number of reflections changes the orientation of the figure.

Therefore, a figure cannot be reflected across three lines of reflection so the image is the original figure.

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Answer:

200+50x

Step-by-step explanation:

If Han's cell phone plan costs $200, Han will have to pay $200 at the start, and since Han has to pay $50 dollars each month, and x = months, we can create 50x for $50 each month. Put both of these together, and we get 200+50x.

Answer:

i believe the answer is 60 I have know clue if im right or not but here is a guess just incase nobody else answers

Step-by-step explanation:

Answer:

larger number is -4

Step-by-step explanation:

Lets say the two numbers are x and y.  x is the bigger number and y is the smaller one.

2y+x = y - 6              [equation 1]

x = 2y                       [equation 2]

these are the 2 equations we get from the text then we can simplify eq 1

y+x=-6

rearrange eq 2

-2y+x=0

subtract equations

3y = -6

y = -2

substitute -2 into earlier equations

x = 2*-2 = -4

Answer:

x= -3

y= 0

Step-by-step explanation:

3x-y= -9

   +y.   +y

3x= -9+y

+9   +9

3x+9=y

-2x+2(3x+9)=6

-2x+6x+18=6

4x+18=6

   -18 -18

4x= -12

/4.  /4

x= -3

3(-3)-y=-9

-9-y=-9

+9   +9

-y=0

/-1. /-1

y= 0

hopes this helps please mark brainliest

Answer: 4.3%

Step-by-step explanation:

His accuracy was 22/23 which, as a percentage, is somewhere around 95-96%

To find his percentage error, you would do 1 - 22/23 (or the decimal- whichever you prefer)

1 - 22/23 ≈ 4.3% (as a decimal, it would be approximately 0.043)

If you're allowed to use a calculator, I recommend Desmos Scientific Calculator

I hope this helps!

This s the answer

Answer y=(-1/4)x+10

Answer: 60.80

Step-by-step explanation:

you saved 19.20

Total degrees of freedom needs to be known to determine the critical values for an independent-samples t-test. So, option 3 is correct.

To evaluate whether the null hypothesis should be rejected or not, a critical value is a value that is contrasted with a test statistic in hypothesis testing. The null hypothesis cannot be rejected if the test statistic's value is not more extreme than the crucial value.

In the sampling distribution of a test statistic, a crucial value delimits areas. Both hypothesis tests and confidence intervals take these values into consideration. When conducting hypothesis testing, crucial values are used to assess whether the findings are statistically significant.

A t-test with independent samples.

To compute the critical values, one must therefore be aware of the degrees of freedom and significance level.

Therefore, total degrees of freedom needs to be known to determine the critical values for an independent-samples t-test.

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The value of z in the regular nonagon is 15.

A regular polygon is a polygon with congruent sides and equal angles.

If all the polygon sides and interior angles are equal, then they are known as regular polygons.

Therefore, the regular polygon above is a nonagon because it has 9 sides. Therefore, the sum of interior angles of a nonagon is 1260 degrees.

Hence, all the angles of the regular nonagon are congruent.

9 m∠a = 1260 degrees

m∠a = 5z + 65

9(5z + 65) = 1260

45z + 585 = 1260

45z = 1260 - 585

45z = 675

divide both sides by 45

z = 675 / 45

Therefore,

z = 15

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The correct slope of the line is 5/2 and the mistake made by Luis is that he didn't correctly interpret the scale of both x and y axes.

To find the slope, we will divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

By looking at the given graph, we could easily suspect that the slope is 1/2, but then we have to look at it closely to get the correct thing.

The y-axis shows that 1 unit represents 5 while for the x-axis, 1 unit represents 1.

To get the slope, we need two points on the line (w, x) and (y, z), and the slope is given by the quotient:

m = (z - x)/(y - w)

Looking at the graph we can see that the points (0, 5) and (2, 10) are on the line, and as such the slope is;

m = (10  - 5)/(2 - 0) = 5/2

The slope of the linear equation is 5/2.

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The estimate of the the number of soft drinks sold a day that had a high temperature of 90 degrees is of:

856.

The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.

From the table given in the problem, the points are listed as follows:

(55, 340), (58, 335), (64, 410), (68, 460), (70, 450), (75, 610), (80, 735), (84,780).

Inserting these points into the linear regression calculator, the equation is defined as follows:

y = 16.42x - 621.83.

For a high temperature of 90 degrees, the estimate is calculated when x = 90, hence:

y = 16.42(90) - 621.83 = 856 soft drinks.

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Answer:

To prove that triangle ABF is congruent to triangle EDG, we need to show that the three sides of triangle ABF are congruent to the corresponding three sides of triangle EDG.

Since we are given that BC is congruent to DC, AB is congruent to ED, and AG is congruent to EF, we can conclude that the three sides of triangle ABF are congruent to the corresponding three sides of triangle EDG. Therefore, triangle ABF is congruent to triangle EDG.

The largest possible area for the right triangle is 1250 in² in which the sum on the lengths of the two shorter sides is 100 in.

we know that in a right triangle the two shorter sides are the base and the perpendicular. Here we have to find the largest possible area of the triangle in which the sum of the shorter sides is 100 in.

Let the base and perpendicular be x and y respectively.

Therefore,

x+y = 100

  y = 100 -x

Also, Area A

= 1/2 xy

= 1 x(100-x)/z

= 100x-x²/2

so the coordinate of vertex = -b/2a

= - 50/2(1-1/2)

= 50

Also,

y = 100-50 [Putting the value of x in equation 1]

= 50

Therefore Maximum, area:

= 1/2 (50)(50)

= 1250 in²

Hence we get the required maximum area.

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Answer:

nope

Step-by-step explanation:

Answer: Yes (depends)

Step-by-step explanation: It depends because it can only be called "a square" if all sides are parallel, I can't tell. I hoped this helped you understand a little more :)

No , When the scale factor is a greater than 1 the dilation will not be a reduction.

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.

The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.

The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted.

Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size. We multiple the scale factor to get image.

When the scale factor is greater than 1 figure size increased.

Hence ,  When the scale factor is a greater than 1 the dilation will be a expansion

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The variable costs  will increase or decrease with an increase in production.

A variable cost could be a corporate expense that changes in the extent to how much a company produces or offers. Variable costs increment or decrease depending on a company's generation or sales volume. When production or deals increment, variable costs increment; when generation or deals decrease, variable costs decrease. Variable costs stand in differentiate from settled costs, which don't alter the extent of production or sales volume. Variable costs are a central portion in deciding a product's contribution margin, the metric utilized to decide a company's break-even or target profit level.

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An expansion where image size increased is formed when scale factor k is greater than 1

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.

The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.

The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted. Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size.

when the scale factor K is greater than 1 , The image will enlarged

Hence, An expansion will be occur.

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a) The Probability of getting a sum of 6 is 5/36.

b) The Probability of getting a sum of 10 is 1/12.

c) The Probability of getting a sum of 6 or 10 is 2/9.

Probability:

Probability is the branch of mathematics that deals with numerical descriptions of the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty [Note 1][1][2]. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

Probability = (number of desired outcomes / number of all possible outcomes)

Roll of Dice: Green and Red.

(a) The  probability of totaling 6:

Number of outcomes needed = 5

Therefore,

P(sum of 6) = 5/36

b) The probability that the total is 10

Number of outcomes required = 3

Therefore,

P(sum of 10) = 3 / 36 = 1/12

c) The probability that the sum is 6 or 10:

P(sum is 6) + P(sum is 10)

(5/36) + (1/12) = (5 + 3) / 36

= 8/36 = 2/9

The events are mutually exclusive because they do not all occur at the same time.

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The formula for the aerodynamic force acting on an aeroplane is F = (1/2) * p * v^2 * A * C, where F is the force, p is the density of the air, v is the velocity of the aeroplane, A is the surface area of the aeroplane, and C is the coefficient of drag.

1. F = (1/2) : This is the coefficient of air resistance, which is a constant value of 1/2.

2. p : This is the density of the air, which is a measure of the mass of air per unit volume.

3. v : This is the velocity of the aeroplane, which is the speed at which it is travelling through the air.

4. A : This is the surface area of the aeroplane, which is the total area of the wings, fuselage and other exposed parts of the aircraft.

5. C : This is the coefficient of drag, which is a measure of how much air resistance the aeroplane experiences.

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The radius of the semicircle surmounted on the rectangle with perimeter 5m is equal to 5 / ( 4 + π )meters

As given in the question,

Let '2x' be the side where semicircle surmounted on rectangle.

And y be the width of the rectangle.

Total perimeter = 5m

⇒ Perimeter of three sides rectangle + circumference of semicircle with radius 'x'  = 5

⇒ 2y + 2x  + πx = 5

⇒ 2y + x ( 2 + π ) = 5

⇒ y = (1/2)[5 -  x ( 2 + π )]

Let 'A' be the total area

Total area of the shape = area of rectangle + area of semicircle

⇒A = 2xy + (1/2)πx²

⇒A = 2x( (1/2)[5 -  x ( 2 + π )]) +  (1/2)πx²

⇒A = 5x - x²(2 + π) + (1/2)πx²

⇒A = 5x - 2x² - (1/2)πx²

For maximum light

dA/dx = 0

dA/dx = 5 -4x -πx

⇒5 - 4x - πx = 0

⇒x = 5 / ( 4 + π )meters

Therefore, the radius of the semicircular part to have maximum light is equal to 5 / ( 4 + π )meters.

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In relation, the y values represents the range of the relation

The relation is defined as the relationship between set of ordered pairs. So generally we can say that the relation is defined as the relationship between x values and y values

We know the domain is the set of all inputs of the relation, that means the domain consist of the x values of the relations

Similarly, the range is the set of all outputs of the relation, that means the ranges consist of the y values of the relations

For example

The relation {(1, 2), (3, 4), (5, 6)}

Here x value = {1, 3, 5}

The y value = {2, 4, 6}

Therefore, the y values represents the range

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The complete statements are

The complete question is added at the end of this solution

From the question, we have the following parameters that can be used in our computation:

Garrick's plant:

Zan's plant:

Garrick's plant is shorter than Zan's plant and the difference in heights is

Actual difference = 100 mm - 10 mm = 90 mm

Measured difference = 88 mm - 8 mm = 80 mm

The percentage errors are calculated using

Percentage errors = Difference/Actual measurement * 100%

So, we have

Garrick's actual error = (10 - 8)/10 *100% = 20%

Zan's actual error = (100 - 88)/10 * 100% = 12%

Hence, Garrick's measurement was 20% off and Zan's was 12% off.

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The amount of money in her account after five years will be $1,292.74.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

A long time back Patricia put 1200 in a saving record with a 1.5% financing cost. Then the amount of money in her account after five years will be given as,

A = $1,200 × (1 + 0.015)⁵

Simplify the expression, then we have

A = $1,200 × (1.015)⁵

A = $1,200 × 1.07728

A = $1,292.74

The amount of money in her account after five years will be $1,292.74.

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The function equation represented by the graph is f(x)=1/4x-3.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=10x+4. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=10 and b=4.

From the graph is possible to see the following coordinates points: (0,-3) and (4,-2). Applying the standard form for the linear equation, you can write:

-3=0*m+b (1)

-2=4*m+b (2)

-3=b        (1)

-2=4m+b (2)

If b=-3, you can find m from equation 2. Then,

-2=4m-3

-2+3=4m

1=4m

m=1/4

Therefore, the linear equation represented in the graph is y=1/4b -3

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The arithmetic mean is frequently used when discussing a bunch of numbers as being "average." One of three possible averages—the others being the median and the mode—is the one we're discussing here.

Mean minus Mode = 3 (Mean – Median)

For Given

Median, Mode, and Median Results: 95.85714 (Mean (Average)).

A middle value of 97

100 is the Mode (Most Popular)

Variety & Totals

Maximum to Minimum Results: 11

Total Numbers in the Set: 7

in descending order: 89, 92, 95, 97, 98, 100, 100

Ordered in decreasing order: 100,100,98,97,95,92,89

Even Numbers: 92, 98, 100, 100.

Odd Numbers: 89,95,97.

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A scale factor less than 1 will decrease the dimensions of the image being scaled

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.

The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted.

Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size.

An image's dimension expand , when scale factor is greater than one

An image's dimension will decrease when the scale factor is less than one

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The dilation is known as contraction when the scale factor is less than 1

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.

The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.

The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted.

Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size.

when the scale factor K is greater than 1 , The image size decreased. It gets contracts

Hence, The dilation is called Contraction

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She should make a 90° turn from the starting location. Taking this viewpoint will cut down on her trip time.

An angle is a figure in plane geometry that is created by 2 rays and lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

Radius of lake= 2mi

walk rate= 4mi/h

boat speed= 2mi/h

cosθ=adj/hyp=d1/4

d1=4cosθ

The arc length from A to C

S=rθ

arc length is expressed as 2θ

S=2(2θ)

S=4θ=d2

d2=4θ

time= distance/speed

t1=d1/2= 4cosθ/2=2coθ

t2=d2/4=4θ/4=4

total time =t1+t2

T=2cosθ+θ

T(θ)=2cosθ+θ

T'(θ)= -2sinθ+1

0=-2sinθ+1

2sinθ=1

sinθ=1/2

T(π/6)=2.25hours

for 90 we have

T(π/2)=1.57hours

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Answer:

375 Adult tickets

434 Student tickets

Step-by-step explanation:

Let A and S be the numbers of Adult(A) and Student(S) tickets sold.  We are told that A+S= 809.

We also learn that A + 59 = S [59 more student tickets sold than adult tickets]

Rearrange the last expression to isolate one of the two variables, A or S.  I'll isolate A:

A = S - 59

Now use this expression for A in the first equation ("substitution").

A + S = 809

(S - 59) + S = 809

2S = 868

S = 434

From A + S = 809, we can find A:

A + S = 809

A + 434 = 809

A = 375

Check:   Does 375 + 434 = 809??  YES

There were 375 Adult and 434 Student tickets sold, for a total of 809 tickets.

The value of x that the walkway will be equal to the area of the rectangular pool is 5 meters

Area of a rectangle is given by

length * width

Area of the pool

= 24 * 16

= 384

area of the walk way

= (24 + 2x) * (16 + 2x) - area of the pool

= 384 + 58x + 4x² - 384

= 4x² + 58x

when the area will be equal

4x² + 58x = 384

4x² + 58x - 384 = 0

solving the quadratic equation gives

x= 4.9386 OR -19.4386

ignore the negative value

x = 5 meters

at x = 5 meters the walkway will have same area with the pool

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