Taylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 14 full sheets. How many doghouses can Taylor make from 12 bundles of plywood?

Answer:

60 mph

Step-by-step explanation:

Let 'S' be the velocity of the southbound car and 'E' be the velocity of the eastbound car. The distances traveled by each car are:

\(D_E=3E\\D_S=3S=3(E+15)\\D_S=3E+45\)

The distance between both cars is given by:

\(D^2=D_S^2+D_E^2\\225^2=(3E+45)^2+(3E)^2\\50,625=9E^2+270E+9E^2+2,025\\18E^2+270E-48,600=0\\\)

Solving the quadratic equation for the velocity of the eastbound car:

\(18E^2+270E-48,600=0\\E^2+15E-2,700\\E=\frac{-15\pm\sqrt{15^2-4*1*(-2,700)}}{2}\\E=45.0\ mph\)

The velocity of the southbound car is:

\(S=E+15=45+15\\S=60\ mph\)

The southbound car is driving at 60 mph.

The molecular, total ionic, and net ionic equations for the given reactions are as follows:

4) Molecular equation: 2 KNO3(aq) + 3 FeBr3(aq) → 6 KBr(aq) + Fe2(NO3)3(aq)

  Total ionic equation: 2 K+(aq) + 2 NO3-(aq) + 3 Fe3+(aq) + 6 Br-(aq) → 6 K+(aq) + 6 Br-(aq) + Fe2+(aq) + 6 NO3-(aq)

  Net ionic equation: 3 Fe3+(aq) + 6 Br-(aq) → Fe2+(aq) + 6 Br-(aq)

5) Molecular equation: 2 HI(aq) + BaCO3(s) → BaI2(aq) + H2O(l) + CO2(g)

  Total ionic equation: 2 H+(aq) + 2 I-(aq) + Ba2+(aq) + CO3^2-(aq) → Ba2+(aq) + 2 I-(aq) + H2O(l) + CO2(g)

  Net ionic equation: 2 H+(aq) + CO3^2-(aq) → H2O(l) + CO2(g)

4) In the molecular equation, potassium nitrate (KNO3) reacts with iron (III) bromide (FeBr3) to form potassium bromide (KBr) and iron (III) nitrate (Fe2(NO3)3). In the total ionic equation, all soluble compounds are represented as dissociated ions. The net ionic equation is obtained by eliminating spectator ions, which are ions that appear on both sides of the equation and do not participate in the actual reaction. In this case, the net ionic equation shows that three iron(III) ions (Fe3+) react with six bromide ions (Br-) to form two iron(II) ions (Fe2+).

5) The molecular equation represents the reaction between hydroiodic acid (HI) and barium carbonate (BaCO3) to produce barium iodide (BaI2), water (H2O), and carbon dioxide (CO2). In the total ionic equation, the soluble compounds are dissociated into their constituent ions. The net ionic equation is derived by eliminating spectator ions. In this case, the net ionic equation shows that two hydrogen ions (H+) react with the carbonate ion (CO3^2-) to form water and carbon dioxide.

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785·20%=157

785-157=628

Answer:

You will pay $628 for a item with original price of $785 when discounted 20%. In this example, if you buy an item at $785 with 20% discount, you will pay 785 - 157 = 628 dollars.

Answer:

\(\huge\boxed{h(g(y^2))=-3y^4-5y^2-5}\)

Step-by-step explanation:

\(h(t)=t-5\\\\g(t)=-3t^2-5t\\\\g(y^2)\to\text{substitute}\ t=y^2\\\\g(y^2)=-3(y^2)^2-5y^2=-3y^4-5y^2\\\\h(g(y^2))\to\text{substitute in}\ h(t)\ t=-3y^4-5y^2\\\\h(g(y^2))=-3y^4-5y^2-5\)

Answer:

30x - 18y + 24

Step-by-step explanation:

When the distributive property is in play, you multiply all the numbers in the parenthesis by the number that's right next to it. In this case, you're multiplying 6 to all of the numbers in the paranthesis (5x - 3y +4).

No as their no difference in Mr. Goodman's evaluation and the History department

What is Statistics ?

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

descriptive statistics types in mathematics The data in this type of statistics is summarized using the provided observations. Statistics that are inferential. To interpret the meaning of descriptive statistics, this kind of statistics is employed. Example of Statistics.

Seeing the data we can conclude that their no difference in Mr. Goodman's evaluation and the History department

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Answer:

C. Undefined

Step-by-step explanation:

Input Data :

Point A  

(

x

A

,

y

A

)

= (2, 5)

Point B  

(

x

B

,

y

B

)

= (2, -2)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

m

=

y

B

−

y

A

x

B

−

x

A

Solution:

Slope

m

=

−

2

−

5

2

−

2

=

−

7

0

m = -INF

Answer:

The answer is C (Undefined)

Step-by-step explanation:

A vertical slope is undefined because it rises and never runs up/down is rise and left/right is run. Rise/Run. 4/0. Four divided by zero is undefined while 0 divided by 4 is zero.

The points (3,0) and (3,1) are located on the first line. The point (3,0) is three units to the right of the origin on the x-axis, while the point (3,1) is three units to the right and one unit up from the origin.

To create a number graph that ranges from negative two to ten on both the x and y axes, you would need to draw a grid with 13 horizontal lines and 13 vertical lines, spaced one unit apart. The point (0,0) is located at the center of the graph.

A line passes through the points (0,0) and (3,1). To graph this line, start at (0,0) and move three units to the right and one unit up to reach (3,1). Draw a straight line connecting these two points.

A second line passes through the points (0,7) and (3,1). To graph this line, start at (0,7) and move three units to the right and six units down to reach (3,1). Draw a straight line connecting these two points.

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Answer:

5 chaperones are needed.

Step-by-step explanation:

400 x 4/5 = 320

320 ÷ 75 = 4.3

Answer:

1) Wallmart

2)16 Oz

3)You woluld save 7 cent per pound by choosing the 11 lbs turkey.

4)You would save $2.00 per notebook. You would save $10.00 buy buying 5.

Step-by-step explanation:

You divide the price by size.

Exaple:

3.99/12

The first law of thermodynamics, mathematically expressed as:

ΔU = Q - W

Where:

ΔU represents the change in internal energy of the system,

Q represents the heat added to the system, and

W represents the work done by the system.

The first law of thermodynamics, also known as the law of energy conservation, states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.

The term "internal energy" (ΔU) refers to the total energy possessed by the system, including the kinetic and potential energy of its molecules. It is a measure of the system's thermal energy.

The term "heat" (Q) represents the transfer of energy between the system and its surroundings due to temperature difference. It is a form of energy transfer that occurs spontaneously from higher temperature regions to lower temperature regions.

The term "work" (W) represents the energy transfer resulting from forces applied to the system, causing displacement. It can take different forms, such as mechanical work, electrical work, or expansion work.

For different scenarios, the explicit form of the energy balance equation can be derived by considering the specific types of work and heat involved in the system. By drawing appropriate schematics, one can identify the relevant forms of work and heat transfer. Examples include:

Adiabatic Process: In this scenario, no heat transfer occurs (Q = 0). The energy balance equation simplifies to ΔU = -W, where the work done by the system contributes to the change in internal energy.

Isothermal Process: In this case, the temperature remains constant (ΔU = 0). The energy balance equation becomes Q = W, indicating that the heat added to the system is fully converted into work.

Isobaric Process: Here, the pressure remains constant. The energy balance equation can be written as ΔU = Q - PΔV, where P is the constant pressure and ΔV is the change in volume. This equation accounts for both heat transfer and work done against the constant pressure.

Therefore, by applying appropriate schematics and considering the specific conditions of a given scenario, one can deduce the explicit form of the energy balance equation and understand the interplay between heat, work, and the change in internal energy.

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Answer: 3

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

I will be using the equation \(y=mx+b\) for this explanation.

Graph 1:

- The equation for the positive slope is \(y=x-1\). The positive slope (m) has a slope of positive 1 (x), and intersects the y-axis at -1, creating the equation \(y=x-1\).

- The equation for the negative slope is \(y=-3x+3\). If you look, the first point is at (0,-3) with the next point being (1,0), which shows that the slope has a negative slope (m) of 3. The negative slope intersects at (0,3), giving us the b variable in the equation. Putting these values into the equation, we get \(y=-3x+3\).

Graph 2:

- The steeper of the two functions will have the equation \(y=2x-4\). The function has a positive slope (m) of \(\frac{2}{1}\), or simply 2, and intersects the y-axis (b) at (0,-4). Put these variables into the equation \(y=mx+b\), and you get \(y=2x-4\).

- The lower function will have the equation \(y=\frac{1}{2} x+2\). For every 1 square, the line moves up, it takes 2 squares to the right to get to the next point, which gives us the variable m of \(\frac{1}{2}\). This function intersects the y-axis at (0,2), which gives the variable b of +2.

Answer:

$24.32

Step-by-step explanation:

I'm assuming that this is combining percentages, so we just need to multiply twice.

38*4/5=30.40

30.40*4/5=24.32

$24.32

The ordered pairs that correspond to input-output pairs for the function y = 3x - 2 are O (-1, -5) and O (-3, -11). In summary, the ordered pairs that correspond to input-output pairs for the function y = 3x - 2 are (-2, 0), (-1, -5), (0, -2), and (-3, -11).

The function y = 3x - 2 relates an input (x) to an output (y) through a specific rule. To determine which ordered pairs correspond to input-output pairs for this function, we need to substitute the x-coordinate of each ordered pair into the function and see if the resulting value matches the y-coordinate.
Starting with the first ordered pair, (-2, 0):
y = 3x - 2
y = 3(-2) - 2
y = -8
The output for an input of -2 is -8, so this ordered pair corresponds to an input-output pair for the function.
Moving on to (-1, -5):
y = 3x - 2
y = 3(-1) - 2
y = -5
The output for an input of -1 is -5, so this ordered pair corresponds to an input-output pair for the function.
Next, we have (0, x_2). We don't know the value of x_2, but we can use the function to find the corresponding output for any input:
y = 3x - 2
y = 3(0) - 2
y = -2
So the input-output pair for this ordered pair would be (0, -2).
Moving on to (2, 3):
y = 3x - 2
y = 3(2) - 2
y = 4
This ordered pair does not correspond to an input-output pair for the function, since the output for an input of 2 is 4, not 3.
Finally, we have (-3, -11):
y = 3x - 2
y = 3(-3) - 2
y = -11
The output for an input of -3 is -11, so this ordered pair corresponds to an input-output pair for the function.

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Answer:

D\

Step-by-step explanation:

Answer: The answer should be D

Step-by-step explanation:

The new height of painting by Jacob will be 2.5 inches.

The ratio and proportion will be used to relate the original and reduced dimensions of painting. The original width and height = 42.88/33.5. Let us assume the new height be x. So, new width and height = 3.2/x. Equating these two fractions -

42.88/33.5 = 3.2/x

Rewriting the equation according to x

x = (3.2 × 33.5) ÷ 42.88

Performing multiplication in numerator

x = 107.2 ÷ 42.88

Performing division on Right Hand Side of the equation

x = 2.5

Thus, the new height will be 2.5 inches.

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The graph of the derivative of a function provides information about the rate of change and the slope of the original function at different points.

To graph the derivative of a function given the graph of the function, you can follow these steps:

Start with the graph of the original function. Make sure you have a clear understanding of its shape and behavior.

Identify critical points on the graph of the function, which are the points where the function has maximum or minimum values or where its slope changes abruptly.

Use the information from the critical points to determine the intervals where the derivative is positive or negative. In the intervals where the function is increasing, the derivative will be positive, and in the intervals where the function is decreasing, the derivative will be negative.

Find any vertical asymptotes or discontinuities in the original function. These points will also affect the behavior of the derivative.

Plot the derivative on a separate graph, using the information from steps 3 and 4. On the derivative graph, mark positive values above the x-axis and negative values below the x-axis.

Indicate the critical points and any vertical asymptotes or discontinuities on the derivative graph.

Connect the points on the derivative graph smoothly, considering the behavior of the original function and the values of the derivative at different points.

By following these steps, you can create a graph of the derivative that provides information about the rate of change and the slope of the original function at different points. The derivative graph helps in understanding the increasing and decreasing behavior of the function and provides insights into its concavity and local extrema.

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Answer:

Universal set

Step-by-step explanation:

A universal set is a set which contains all the elements or objects of other sets, including its own elements. It is usually denoted by the symbol 'U'. Therefore, Set U has all the elements of Set A and Set B. ...

at:5

ts:11

oa:5

hope this helps you!

Answer:

£ \(36\)

Step-by-step explanation:

In this situation, the price of an item is (£ \(45\)). It is given that there is a (\(\frac{1}{5}\)) off discount on this item. To find the price of this item, one will have to subtract the discount rate from (1), this will yield the fraction of the object price that one has to pay. To find the actual amount one has to pay, one must multiply the fractional price of the object by the original price of the object. Using this line of thought, one can form the following equation:

\((1-(rate\ of\ discount))(original\ price)=sale\ price\)

Substitute the given values into this equation:

\((1-\frac{1}{5})(45)=sale\ price\)

Simplify: remember, a fraction with any number over itself equals (1). Bear in mind that one can only perform operations such as addition and subtraction between fractions with common denominators, that is the number under the fraction bar.

\((1-\frac{1}{5})(45)=sale\ price\)

\((\frac{5}{5}-\frac{1}{5})(45)=sale\ price\)

\((\frac{5-1}{5})(45)=sale\ price\)

\((\frac{4}{5})(45)=sale\ price\)

Now perform the multiplication. Divide the denominator by the number one is multiplying by, then multiply it by the numerator (number over the fraction bar).

\((\frac{4}{5})(45)=sale\ price\)

\((4)(45 / 5)=sale\ price\)

\((4)(9)=sale\ price\)

\(36=sale\ price\)

Answer:

The answer is 36$

Step-by-step explanation:

Basically, the original price is 45 dollars, but with the extra 20% off (This is just the 1/5 off) it will be 36. This is because 45/5 equals 9 and 45-9 is 36.

Answer:

m = 8

Step-by-step explanation:

As we can see we have two similar triangles

These are triangles FDH and GEF

mathematically, when two triangles are similar, the ratio of their corresponding sides are equal;

Thus;

DH/DF = EG/EF

12/15 = m/10

15 * m = 12 * 10

15 m = 120

m = 120/15

m = 8

To find out at what point will the ball hit the ground if Chase needs to throw a basketball so that the path of the ball follows the curve of y = -x(x - 3), we can begin by setting y equal to zero. Then, solve for x. Let's get started:y = -x(x - 3)0 = -x(x - 3). The ball will hit the ground at the points (0,0) and (3,0).

We can solve this equation by using the zero-product property. That means setting each factor equal to zero and solving for x:-x = 0orx - 3 = 0x = 0or x = 3So, the ball will hit the ground at the points where x = 0 and x = 3. To determine the corresponding y-coordinates of these points, we can substitute each value of x into the equation for y:y = -x(x - 3)For x = 0:y = -0(0 - 3) = 0For x = 3:y = -3(3 - 3) = 0

Therefore, the ball will hit the ground at the points (0,0) and (3,0).

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By setting y in the equation y = -x(x-3) to 0 and solving for x, we find that Chase's basketball hits the ground at x = 0 and x = 3.

In this problem, we have the equation of the basketball's trajectory as y = -x(x-3). The curve is derived from a quadratic equation, and since the basketball hits the ground when y equals to zero, we simply set y to 0 and solve for x. So we will have the following: 0 = -x(x-3). To solve this equation, we can set each factor equal to zero: -x = 0 and x - 3 = 0. Solving these equations give us x = 0 and x = 3, respectively. These are the two points where the ball hits the ground. Thus,Chase's basketball will hit the ground at the starting point of x = 0, where Chase threw the ball, and at x = 3, the point where the basketball lands.

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Answer:

I like to do mehndi is known as

.

Answer:

in this form the first one next to the x is the slope and the added value is the y intercept

if something is parrell that means the same slop so

3/4

Hope This Helps!!!

The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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