A large iguana can be 7 feet long and weigh 16 pounds. Suppose that from excavated bones, a dinosaur was found to have been 25 feet long and proportioned like a large iguana.

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

for such more questions on value

https://brainly.com/question/843074

#SPJ8

The inverse of the function is f⁻¹ ( x ) = 5 / ( x - 4 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

f ( x ) = ( 5/x ) + 4   be equation (1)

On simplifying the equation , we get

y = ( 5/x ) + 4

Now , replacing x with y , we get

x = ( 5/y ) + 4

On solving for y , we get

5/y = x - 4

y = ( 5 / x - 4 )

Now , the inverse of the function is f⁻¹ ( x ) = 5 / ( x - 4 )

Hence , the equation is f⁻¹ ( x ) = 5 / ( x - 4 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

8m=10m

Step-by-step explanation:

Solving the quadratic equation, it is found that:

A quadratic function is given according to the following rule:

\(y = ax^2 + bx + c\)

The solutions are:

\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)

\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)

In which:

\(\Delta = b^2 - 4ac\)

If a < 0, the graph, which is a parabola, is concave down, that is, it is positive only between the two roots.

In this problem, the equation is:

\(y = -16t^2 + 176t - 384\)

Then, the solution is:

\(-16t^2 + 176t - 384 = 0\)

The coefficients are \(a = -16, b = 176, c = -384\), then:

\(\Delta = (176)^2 - 4(-16)(-384) = 6400\)

\(x_1 = \frac{-176 + \sqrt{6400}}{-32} = 3\)

\(x_2 = \frac{-176 - \sqrt{6400}}{-32} = 8\)

Considering that the parabola is concave down, we have that:

You can learn more about quadratic equations at https://brainly.com/question/24764843

9514 1404 393

Answer:

  p = 6

Step-by-step explanation:

The difference between the first two terms is ...

  5p -p = 4p

Since this is an arithmetic sequence, the next term will be 4p more than the last term:

  5p +4p = 9p

Then the sum of the first three terms is ...

  p + 5p + 9p = 90

  15p = 90 . . . . . . . . . . collect terms

  p = 6 . . . . . . . . . . . . divide by 15

_____

The first three terms are 6, 30, 54.

Answer:

ASA

Step-by-step explanation:

The Proof proves that two of the angles and the included side are equal making it the ASA theorem

The missing reason in the given proof is ASA.

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given is a proof for the congruence of the lines HG and EG.

Given,

G is the midpoint of KF.

KH ∥ EF

Triangles F E G and K H G are connected at point G.

We have to prove HG ≅ EG.

From the given steps of proof,

we get two angles and the included side of triangle FEG is congruent to corresponding two angles and the included side of triangle KHG.

So by ASA theorem both triangles are congruent.

Hence the missing reason is ASA.

Learn more about Congruence Rules here :

https://brainly.com/question/20521780

#SPJ7

Answer:

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Step-by-step explanation:

There are several useful rules regarding angles:

This last observation is a consequence of the 2nd and 3rd observations.

__

angle ECD

Using the last observation, ∠ECD = 124° -90° = 34°.

angle HGB

Again, using the last observation, ∠HGB = 110° -90° = 20°.

angle GBH

There are at least a couple of ways to find this one. We assume that lines FB and EC are parallel, so angles HBC and ECD are corresponding, hence congruent. Angle GBC is the supplement of of 110°, so is 70°. Then ...

  ∠GBH = 70° -34° = 36°

angle FGH

Again, this angle can be found multiple ways. Here, we'll use the sum of angles in triangle FGB.

  ∠FGB +∠GBF +∠BFG = 180°

  (∠FGH +∠HGB) +∠GBF +∠BFG = 180°

  ∠FGH +20° +36° +87° = 180°

  ∠FGH = 180° -143° = 37°

__

Least to greatest, the angles are ...

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Answer:

y = 37

Step-by-step explanation:

Since we know all the terms will equal 180°, we can set up the following equation to solve for y:

y + 29 + 40 + 2y = 180

3y + 69 = 180

3y = 111

y = 37

Answer:

X is equal to 5

Step-by-step explanation:

If DE is a midsegment of the triangle, then segments AD and DB are congruent, therefore they have the same value.

The first equation is incorrect.

The second equation is correct.

The third equation is correct.

Let's go through each equation and determine whether it is correct or incorrect:

(b²+7b-9)+(4b-6b²) = -8b² + 14b-9

To determine if this equation is correct, we need to simplify both sides and check if they are equal.

On the left side:

(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9

On the right side:

-8b² + 14b - 9

Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.

(4a+6)-(3a²-9a+1)=-3a²+ 13a +5

Again, we need to simplify both sides of the equation and check if they are equal.

On the left side:

(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5

On the right side:

-3a² + 13a + 5

Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.

(12c-8c²)+(5c²- 10c) = -3c²+2c

Again, let's simplify both sides and compare them.

On the left side:

(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c

On the right side:

-3c² + 2c

Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.

For more such questions on equation visit:

https://brainly.com/question/17145398

#SPJ8

If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

Read more on dilation here: https://brainly.com/question/11812796

#SPJ1

The probability that two brown sit together is 0.2.

What is the meaning of arrangements?

the act of putting things in order

Here, it is given that ;

there are Two brown and 8 red birds.

Total number of ways 10 distinct birds can sit = 10!

Now,

When out of total arrangement the number of ways in which two brown birds and 8 red birds can sit is :

¹⁰C₂ = 10!/ (2! x 8!)

¹⁰C₂ = 45 ways

Now, consider two brown birds as one bird then the number of arrangement will be :

⁹C₁ = 9!/1! = 9

The probability that two brown sit together will be :

9/45 = 0.2

Therefore, the probability that two brown sit together is 0.2.

Read more about probability at:

https://brainly.com/question/8217340

#SPJ2

Answer

30

Step-by-step explanation:

It would be 30 because you can mow 6 in 4 hours you would multiply 6x5 because 4x5 is 20 and that's the total hours.

The value of the test statistic is given as follows:

z = 4.47.

The equation to calculate the test statistic using the z-distribution is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{p} = 0.59, p = 0.5, n = 618\)

p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.

Then the test statistic is obtained as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)

z = 4.47.

More can be learned about test statistics at https://brainly.com/question/13873630

#SPJ1

Answer:

Brainly

Step-by-step explanation:

Answer:

-85

Step-by-step explanation:

Given statement solution is :- The area (A) of the base of the cylinder, you need to use the formula for the area of a circle, which is A = \(πr^2\), where π is approximately 3.14 and r is the radius of the base.

To calculate the area (A) of the base of the cylinder, you need to use the formula for the area of a circle, which is A = \(πr^2\), where π is approximately 3.14 and r is the radius of the base.

Given that the radius (r) is 10 cm, the area of the base (ABase) can be calculated as follows:

ABase =\(πr^2\)

ABase = 3.14 * \((10 cm)^2\)

ABase = 3.14 * \(100 cm^2\)

ABase = 314 \(cm^2\)

The area of the base is \(314 cm^2.\)

To calculate the volume (V) of the cylinder, you need to multiply the area of the base (ABase) by the height (h):

V = ABase * h

V = 314 \(cm^2\) * 30 cm

V = 9420 \(cm^3\)

The volume of the cylinder is 9420 \(cm^3.\)

However, there seems to be some confusion in the provided information. The given values for the area of the base (ABase) and the volume (V) are not clear. The values "- 20 gm" and "cm cm?" are not meaningful units for area or volume.

For such more questions on Cylinder dimensions and calculations.

https://brainly.com/question/27863529

#SPJ8

Answer:

The first mechanic charged $ 85 an hour, and the second mechanic charged $ 55 an hour.

Step-by-step explanation:

Given that two mechanics worked on a car, and the first mechanic worked for 10 hours, and the second mechanic worked for 5 hours, and together they charged a total of $ 1125, to determine what was the rate charged per hour by each mechanic if the sum of the two rates was $ 140 per hour, the following calculation must be performed:

1125/15 = X

75 = X

80 x 10 + 60 x 5 = 800 + 300 = 1100

85 x 10 + 55 x 5 = 850 + 275 = 1125

Therefore, the first mechanic charged $ 85 an hour, and the second mechanic charged $ 55 an hour.

Answer:

Step-by-step explanation:

To find the common ratio ( r) of a given sequence , divide the previous term by the next term.

That's

\(r = - \frac{51}{17} = - 3 \: \: \\ or \\ r = - \frac{153}{51} = - 3\)

Since the common ratio is the same for any of the terms chosen , the common ratio is - 3

Hope this helps you

The solution for the given inequality is -6 < x < 9.

What is linear equality?

In mathematics a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

The given inequality is:

         -7 < x - 1 < 8

       −7 + 1 < x − 1 + 1 < 8 + 1 -------- (Add 1 to all parts)

             -6 < x < 9

Hence, the solution for the given inequality is -6 < x < 9.

To learn more about linear inequality, visit:

https://brainly.com/question/24372553

#SPJ1

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

Read more on vertical asymptotes and functions here: brainly.com/question/28184937

#SPJ1

An exponential function has the form:

Then, based on the given functions in the problem, the one that has this form is...

Answer: B)

Answer:

5/9

Step-by-step explanation:

Answer:

continue to increase

Step-by-step explanation:

the more weight you add the faster it will get because it would be gaining momentum. take a soapbox race for example in the races the heavier the person the faster they will go with a really light vehicle, its like the difference between rolling a led ball and dropping a led the ball would be moving faster if you dropped it do to the heavy weight with little friction

hope this helps there are multiple examples because some people understand things differently

3 rational numbers between 7/12 and 7/11 are 0.5959.., 0.6060.., 0.6111...

Rational numbers are numbers that can be written as the ratio of two integers. For example:

• 1/2, 3/4, are rational numbers

Now the given numbers are,

7/12 and 7/11

converting them into decimal we get,

0.58333.... and 0.6363...

Thus there are infinite slots of rational number between them.

So, choosing three of them we get,

0.5959.., 0.6060.., 0.6111...

these are the required rational numbers.

Thus,  3 rational numbers between 7/12 and 7/11 are 0.5959.., 0.6060.., 0.6111...

To learn more about rational numbers :

https://brainly.com/question/11313566

#SPJ2

Answer:

See below.

Step-by-step explanation:

4 packages of ribbon: \(0.80\)

\(0.80*4=3.2\)

2 rolls of wrapping paper: \(4\)

\(4*2=8\)

Scissors: \(12\)

Add them all together and it will be $\(23.2\).

If the sales tax is 8%, divide the percentage to find the decimal form.

\(\frac{8}{100} =0.08\)

Multiply the percentage by the added total.

\(23.2 *0.08=1.856\)

Round it up and it will be \(1.86\)

Add the percentage and total together.

\(23.2+1.86=25.06\)

Answer: \(25.06\)

:)

Answer:

from 7 to 49 or (7, 49)

Step-by-step explanation:

Range means the limit of the data set. Basically, the low part of the range is the lowest number in the set and the high part of range is the highest part.

Mrs. Grubbs would get more cookie to eat by choosing the 4 smaller cookies with diameter 5 cm each rather than the single cookie with diameter 14 cm.

To compare the amount of cookie Mrs. Grubbs would get by eating a single cookie with diameter 14 cm and 4 smaller cookies with diameter 5 cm each, we need to consider the total area of the cookies.

The area of a cookie with diameter 14 cm can be calculated as follows:

A = πr^2 = π(7 cm)^2 = 49π cm^2

where r is the radius of the cookie.

On the other hand, the area of a single small cookie can be calculated as follows:

A1 = \(πr^2\) = \(π(2.5 cm)^2\)= \(6.25π cm^2\)

where r is the radius of the small cookie.

Therefore, the total area of 4 small cookies is:

A2 = 4A1 = \(4(6.25π cm^2)\) = \(25π cm^2\)

Comparing the two options, we see that the total area of the 4 small cookies is greater than the area of the single large cookie:

A2 > A

\(25π cm^2 > 49π cm^2\)

It's worth noting that this comparison assumes that the thickness or volume of the cookies is the same for both options. If the cookies have different thicknesses, then the comparison would need to take into account the volume of the cookies instead of just the area.

for similar questions on cookie

https://brainly.com/question/28385335

#SPJ11

The surface area of the rectangle prism with length, width and height is 462 square inches.

Surface area of rectangle prism:

Surface area of prism is defined as the sum of the area of the 2 polygonal bases and the area of the lateral faces. The surface area of a prism is measured using square units.

Given,

Here we have the rectangle prism with length of 12 inches, a width of 9 inches, and a height of 2 inches.

Now, we need to find the surface area of the rectangle prism.

Here we have given that the  surface area, S, of a right rectangular prism with length l, width w, and height h can be found using the formula below.

S  = 2(lw + wh + hl)

Based on this, in the given question we have the value of

length l = 12 inches

width w = 9 inches

height h = 2 inches.

Now, we have to apply the values on the formula in order to solve it,

S = 2 ((12 x 9) + (9 x 2) + (2 x 12)

When we simplify it, then we get,

S = 2 (189 + 18 + 24)

S = 2 (231)

s = 462

Therefore, the surface area of the rectangle prism is 462 square inches.

To know more about Surface area of Prism here.

https://brainly.com/question/28016184

#SPJ1

The sample size needed to be 99​% confident that the sample proportion will not differ from the true proportion by more than ​4% is given as follows:

n = 1037.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is given as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

As we have no estimate, the parameter is given as follows:

\(\pi = 0.5\)

Then the sample size for M = 0.04 is obtained as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.04\sqrt{n} = 2.575 \times 0.5\)

\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)

\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)

n = 1037.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer:

440$

Step-by-step explanation: