The diagram below shows different layers of sedimentary rocks.
Based on the diagram, which of these inferences is most likely correct?
Layer F was formed earlier than Layer A.
Layer B was formed earlier than Layer E.
Layer G was formed more recently than Layer D.
Layer D was formed more recently than Layer C.

Answer:

\(x=-\frac{17}{28}\)

Step-by-step explanation:

\(\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}\)

\(x-\frac{1}{4}=-\frac{6}{7}\)

\(x = -\frac{6}{7} + \frac{1}{4}\)

\(x = -\frac{17}{28}\)

plug \(x\) in the equation to make sure of your answer:

\(\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}\\\frac{1}{4}(4(-\frac{17}{28}) -1)=-\frac{1}{7}-\frac{5}{7}\\-\frac{17}{28} -\frac{1}{4}=-\frac{6}{7}\\-\frac{6}{7}=-\frac{6}{7}\)

a. The measure of angle 7 is 47°. It is is a vertical angle to angle 5

b. If the measure of ∠6 is represented by (2x - 5), the equation used to solve for x is 42 + 2x = 180

c. The value of x is 69

Vertically opposite angles are defined as those angles that are opposite one another at a vertex and are formed by the intersection of two straight lines.

Vertical opposite angles are known to be congruent.

From the information given, we have;

a. ∠5 ≅ ∠7, they are vertical angles

Therefore, angles 5 and 7 are congruent to each other.

∠7 = 47°

b. Suppose ∠6 = 2x - 5

To determine the value of x, we have

∠5 + ∠6 = 180

Then, we have the equation as;

47 + 2x - 5 = 180

collect the like terns

2x = 180 - 42

2x = 138

Divide both sides by 2

x = 138 / 2

x = 69

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g(a)=33a−2; Find g(1)

g(1) means the value of a is 1. Replace a in the equation with 1 and solve.

33(1) - 2 = 33-2 = 31

g(1) = 31

Step-by-step explanation:

x to the power of -a means (1/x) to the power of a.

so, 3^-3 = (1/3)³ = 1/27

and 10^-3 = (1/10)³ = 1/1000 = 0.001

1/27 × 1/1000 = 1/27000 = 0.00003703703703...

Answer:

Option 3

Step-by-step explanation:

The slope is \(\frac{-2-6}{5-1}=-2\).

The equation of the line through \((x_1, y_1)\) with slope \(m\) is \(y-y_1=m(x-x_1)\).

y-6=-2(x-1) is the equation is a point slope form equation for line AB

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

point A, with coordinates (1, 6), and point B, with coordinates (5, -2)

m=-2-6/5-1

m=-8/4

=-2

So slope is -2.

The point slope intercept of line is

y-y₁=m(x-x₁)

y-6=-2(x-1)

Hence y-6=-2(x-1) is the equation is a point slope form equation for line AB

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Answer:

a) Option A is correct.

b) Option B is correct.

Step-by-step explanation:

\(a) \: \: 5 \times a \\ = 5a\)

\(b) \: \: b \times b \\ = {b}^{2} \)

Answer:

x = 4

Step-by-step explanation:

lol uggujkvjvvjvvjvvjjjvvjvvvvvvvvvvvvvvvvvvvvvvvvvvvvvujuuuuuuuu

Answer:

Pascal triangle is infinite, and the answer to this question is the 1,9,6,84,126,126,84,36,9,1

Step-by-step explanation:

in the pascal triangle the first row start with 0.

Answer:

C

Step-by-step explanation:

Since GJ bisects ∠ FGH , then ∠ FGJ = ∠ JGH = x + 14

∠ FGH = ∠ FGJ + ∠ JGH , substitute values

4x + 16 = x + 14 + x + 14 = 2x + 28 ( subtract 2x from both sides )

2x + 16 = 28 ( subtract 16 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Thus

∠ FGJ = x + 14 = 6 + 14 = 20° → C

D. 28/3 cm³

1) Given those dimensions, let's plug them into the following formula for the Volume of a Rectangular Prism, and simplify those fractions

8 and 4 by 4: 2, 1

10 and 5 by 5: 2,1

2) Hence the volume of that Prism is 28/3 cm³

Answer:

Just put it in Geogebra classic. It's an app that helps very much with functions!

Given:

Kaci earned scores of 78, 88, 87, and 91 on her first four science tests.

She has one more test to take and wants to get an average score of 80 or more on her tests.

Let the score of the final test = x

So, the average of the scores will be equal to or greater than 80

So, we have the following inequality

Solve for x:

So, the minimum score will be 56

The rate at which the energy expenditure is changing with respect to time is -0.0137 kcal/kg/km/day.

To find the rate at which the energy expenditure is changing with respect to time, we need to use the chain rule of differentiation.

Given the equation E = 43.5w^(-0.61), where E represents energy expenditure and w represents the weight of the dolphin in kg, we want to find dE/dt, the rate of change of energy expenditure with respect to time.

First, we express w as a function of time t. We are given that the weight of the dolphin is increasing at a rate of 8 kg/day, so we can write w = 400 + 8t.

Now, we differentiate E with respect to t:

dE/dt = dE/dw * dw/dt

To find dE/dw, we differentiate E with respect to w:

dE/dw = -0.61 * 43.5 * w^(-0.61 - 1) = -26.5735 * w^(-1.61)

Substituting w = 400 + 8t:

dE/dw = -26.5735 * (400 + 8t)^(-1.61)

Next, we find dw/dt:

dw/dt = 8

Finally, we can calculate dE/dt:

dE/dt = -26.5735 * (400 + 8t)^(-1.61) * 8

Evaluating this expression at t = 0 (initial time), we get:

dE/dt = -26.5735 * (400 + 8 * 0)^(-1.61) * 8 = -26.5735 * 400^(-1.61) * 8

Simplifying the expression yields:

dE/dt ≈ -0.0137 kcal/kg/km/day

Therefore, the rate at which the energy expenditure is changing with respect to time is approximately -0.0137 kcal/kg/km/day.

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good question I think that you know that rounding is important. I mean really we use it all the time if we think about it or not maybe you could do something where someone you could have a skit where someone walks into the dollar store and everything is 1.99$ and because of rounding they know it's two dollars i don't know im making something up

-56/-4 = 14

14/7 = 2

So the quotient is 2.

Answer: 14

Step-by-step explanation:

a. An exponential growth rate equation to represent the cost C₁ of this home is \(C_1 = 250000e^{0.038t}\).

b. An exponential growth rate equation to represent the cost C₂ of this home is \(C_2 = 275000e^{0.022t}\).

c. The time in which each home would reach a price of $320,000 is 6.5 and 6.8 years respectively.

d. The price of the home in the first area is lower.

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

\(A(t) = P_{0}e^{rt}\)

Where:

Part a.

Based on an exponential growth rate of 3.8% in the first area, the cost of this home in t years can be written as follows;

\(A(t) = P_{0}e^{rt}\\\\C_1 = 250000e^{0.038t}\)

Part b.

Based on an exponential growth rate of 2.2% in the second area, the cost of this home in t years can be written as follows;

\(A(t) = P_{0}e^{rt}\\\\C_1 = 275000e^{0.022t}\)

Part c.

At a price of $320,000 for the home, the number of years to reach this price is given by:

\(C_1 = 250000e^{0.038t}\\\\320000 = 250000e^{0.038t}\\\\1.28= e^{0.038t}\)

ln(1.28) = 0.038t

Time, t = 0.24686007793/0.038

Time, t = 6.49 ≈ 6.5 years.

\(C_2 = 275000e^{0.038t}\\\\320000 = 275000e^{0.022t}\\\\1.16= e^{0.022t}\)

ln(1.16) = 0.022t

Time, t = 0.14842000511/0.022

Time, t = 6.75 ≈ 6.8 years.

Part d.

The house with the lower price can be determined as follows;

\(C_1 = 250000e^{0.038 t}\\\\C_1 = 250000e^{0.038\times 3}\)

C₁ = 250,000 × 1.12075212488

C₁ = $280188.03122

\(C_2 = 275000e^{0.038t}\\\\C_2 = 275000e^{0.022 \times 3}\)

C₂ = $293762.347221.

In conclusion, the home in the first area is cheaper.

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Answer:

D) 9/2

Step-by-step explanation:

To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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Answer:

they all are odd numbers

Step-by-step explanation:

trick question they all are odd numbers, unless you can divide or subtract  the numbers

Answer:3716

Step-by-step explanation: any number landing in an even number is even

The height of the bullet after 3 second is 640m

Motion under gravity refers to the movement of an object whose vertical motion is affected by the presence of gravity. The force that attracts objects downwards is gravity. In fact, gravity works towards the centre of the Earth.

When an object is thrown up, the height of the object is calculated as h = v²/2g

where v is the velocity and g is the acceleration due to gravity.

v = -16t²+ 256(t)

when t = 3s

v = -16( 3)²+ 256

v = -144+256

v = 112m/s

therefore the height attained by the bullet =

h = 112²/2×9.8

h = 640m

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Answer:

2

Step-by-step explanation:

10 divided by 5

Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.

Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.

Ricardo tarda 5 minutos en dar la vuelta a la manzana.

Rena tarda 6 minutos en dar la vuelta a la manzana.

Digamos que los tres comienzan el viaje desde el mismo punto A.

Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.

Por lo tanto,

Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.

Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.

Todas se reúnen después de 6 minutos en la salida.

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The dividend on an 8 percent preferred stock that currently sells for $45 and has a face value of $50 per share is $4.00. The correct option is a.

The dividend on a preferred stock can be calculated using the formula: Dividend = Preferred Stock Price × Preferred Stock Dividend Rate. In this case, the preferred stock price is $45, and the preferred stock dividend rate is 8 percent. To calculate the dividend, we multiply $45 by 8 percent (0.08): $45 × 0.08 = $3.60.

However, it's important to note that preferred stock dividends are typically calculated based on the face value of the stock rather than the market price. The face value represents the original value of the stock and is often $100 or $50 per share. In this case, the face value is $50 per share. To adjust for the face value, we divide the calculated dividend by the market price and multiply it by the face value: ($3.60 ÷ $45) × $50 = $4.00. Therefore, the dividend on an 8 percent preferred stock that currently sells for $45 and has a face value of $50 per share is $4.00. The correct answer is A. $4.00.

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Answer:

33

Step-by-step explanation:

2(6) + 3(8) - 3

12 + 24 + - 3 = 33

Answer:

33

Step-by-step explanation:

2(6) +3(8) -3

Answer:

463×10³

463×1000

=0.463

Answer:

103

Step-by-step explanation:

your friend's score=x

twice your friend's score=2*x

then your score=6+2*x

Given that your score is=212

In other words, 6+2*x=212

2*x=212-6

2*x=206

x=206/3

x=103

The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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