SOMEONE PLEASE HELP ME T-T
Shania has 12 coins in her pocket. Of these coins, 5 are pennies and 7 are dimes. Shania randomly selects one coin from her pocket and, without replacing it, selects another coin from her pocket. What is the probability that both coins are dimes?

The acceleration of the object is 2 m/s²

From the question, we are to determine the acceleration of the object

From Newton's second law of motion, we have that

F = ma

∴ a = F/m

Where F is the net force

m is the mass

and a is the acceleration

From the given information,

m = 5kg

From the diagram,

Net force = 30 N - 20N

Net force = 10 N

Then,

a = F/m

a = 10/5

a = 2 m/s²

Hence, the acceleration of the object is 2 m/s²

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A typical cross section of a major urban freeway is drawn, specifying dimensions for each element based on AASHTO requirements.

The cross section of a major urban freeway includes several elements, each with specific dimensions as per AASHTO (American Association of State Highway and Transportation Officials) requirements. These elements typically include travel lanes, shoulders, medians, and barriers.

To draw the cross section, the dimensions of each element must be considered. For example, travel lanes have specific widths based on the number of lanes and the type of road. Shoulders also have specific widths depending on their function, such as emergency stopping or additional travel space.

Medians , if present, may vary in width depending on factors like traffic volume and safety requirements. Barriers, such as concrete or metal guardrails, also have specified dimensions to provide adequate protection.

By referencing the AASHTO guidelines, the proper dimensions for each cross-section element can be determined and included in the drawing. This ensures compliance with safety standards and provides a visual representation of a typical major urban freeway cross section.

In summary, the drawn cross section of a major urban freeway depicts the various elements with their specific dimensions as required by AASHTO. This enables engineers and planners to design and assess the roadway based on established standards for safety and functionality.

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The distance between PQ : 7

    Given  points  P: (1,6)

                            Q : (7,2)

   distance between two points formula is : √(x2-x1)^2 + (y2-y1)^2

    (x1,y1)= (1,6)

    (x2,y2) = (7,2)

    therefore

                  =  √(7-1)^2 +(2-6)^2

                  = √36+16

                  = √52

                  = 7.211

Answer:

£7

Step-by-step explanation:

Since the sale is 10% the original price, every item is being sold for 90% of its original price. Now the problem is: £6.30 is 90% of what number?

Let x = original price before sale

6.30 = 0.9x

0.9x = 6.3

Divide both sides by 0.9

x = 6.3/0.9

x = 7

Answer: £7

Answer: See explanation

Step-by-step explanation:

Let the price per pound of coffee be c

Let the price ce per pound of butter be b.

We can form an equation based on the information given and this will be:

2c + b = 11.25 ....... i

3c + 2b = 18.50 ....... ii

From equation i, b = 11.25 - 2c ..... iii

Put the value of b into equation ii.

3c + 2b = 18.50

3c + 2(11.25 - 2c) = 18.50

3c + 22.50 - 4c = 18.50

-c = 18.50 - 22.50

c = 4.00

A pound of coffee cost $4.00

Since b = 11.25 - 2c .

b = 11.25 - 2(4.00)

b = 11.25 - 8.00

b = 3.25

A pound of butter costs $3.25

The end behavior of the function represented by the graph is as x ⇒ +∝, f(x) ⇒ -∝ and as x ⇒ -∝, f(x) ⇒

The graph represents the given parameter

On the graph, we have the following observations:

The above means that:

As x increase, f(x) decrease and as x decrease, f(x) increase

When represented as a function, we have

As x ⇒ +∝, f(x) ⇒ -∝ and as x ⇒ -∝, f(x) ⇒ +∝

Hence, the end behavior of the function represented by the graph is as x ⇒ +∝, f(x) ⇒ -∝ and as x ⇒ -∝, f(x) ⇒

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Answer:

-11

Step-by-step explanation:

2x - 3y - z

2(-2) - 3(3) - (-2)

-4 -9 +2

-13+2

-11

Answer:

-11

Step-by-step explanation:

What we are solving for: 2x - 3y - z

x = -2

y = 3

z = -2

We can just plug in the variables.

\((2*-2) - (3*3) - (-2)\)

\(-4-9+2\)

Therefore, the answer is -11.

Hope this helped!!

• Solution

To solve for x, we take the logarithm of both sides.

Applying the law of logarithm to the equation above;

Therefore, the approximate value of x is 3.562

The correct option is E.

If neither consumption nor investment are affected by changes in interest rates, the slope of the IS curve will be vertical.

The IS (Investment-Saving) curve represents the relationship between real output (Y) and the interest rate (r) in the goods and services market. In a standard macroeconomic model, the IS curve has a negative slope because a decrease in the interest rate leads to an increase in investment and consumption, which in turn leads to an increase in real output. However, if neither consumption nor investment are affected by changes in the interest rate, then the slope of the IS curve will be vertical.

The economic intuition behind this is that if consumption and investment are not affected by changes in the interest rate, then the interest rate has no impact on the demand for goods and services. Therefore, changes in the interest rate will not affect the level of real output. In other words, the vertical IS curve implies that the level of real output is fixed and independent of the interest rate.

This situation is often referred to as a "liquidity trap," where monetary policy becomes ineffective in stimulating economic growth because interest rates cannot be lowered enough to boost consumption and investment. This can happen when interest rates are already at or close to zero and cannot be lowered further. In a liquidity trap, fiscal policy (government spending and taxation) may be used to stimulate the economy instead of monetary policy

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Answer:

cotx cscxcos x = tarix. Sex. - 2 tang cosx = cotax. Cosx I sinx sinx ... 11. sin x tan x=- COS X. 12. tan²x. 12. ^^= secx - cosx secx secox-1. Han3=&c

Answer:

Step-by-step explanation:

\(LHS = \dfrac{1 - Cos \ x}{1 + Cos \ x}\\\\=\dfrac{(1-Cos \x)(1-Cos \ x)}{(1+Cos \x)(1 - Cos \x)}\\\\=\dfrac{(1-Cos \ x)^{2}}{1^{2}-(Cos x)^{2}}\\\\ = \dfrac{(1 - Cos \x )^{2}}{Sin^{2} \ x}\\\\=\left(\dfrac{1-Cos \ x}{Sin \ x}\right)^{2}\\\\= \left(\dfrac{1}{Sin \ x}-\dfrac{Cos \ x}{Sin \ x} \right)^{2}\\\\= \left(Csc \x - Cot \ x)^{2}\)

Answer:

Samantha drives 3,800 miles in 40 days.

Step-by-step explanation:

1 day = 95 miles so 40 days = 3,800

95 miles x 40 days = 3,800 miles

Applying the triangle inequality theorem, the possible length of side AC is: C. 18 inches.

The triangle inequality theorem states that lengths of the two sides of a triangle, when added together must be greater than the third side of any given triangle.

Therefore, to determine the possible length of side AC, we can use the triangle inequality theorem, stated above and applying this to triangle ABC, we have the following:

AC < AB + BC

AC < 12 + 20

AC < 32

This implies that, length of side AC must be less than 32 inches. Thus, the answer is: C. 18 inches.

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Answer:

Quadrant 2 and Quadrant 3

Step-by-step explanation:

Given

Set of all negative numbers

Required

Determine the quadrant it falls

Domain implies that we list the possible x values.

There are 4 quadrants and the x values in each quadrant are:

First quadrant: x is positive

Second quadrant: x is negative

Third quadrant: x is negative

Fourth quadrant: x is positive

From the above lists, we can see that x is negative in the second and the third quadrants.

True, Field X is a dependent function on Field Y if the value of Field X depends on the value of Field Y.

In relational database theory, a dependent function is a constraint between two sets of objects related to a database. In other words, the dependency function is the boundary of two behaviors in a relationship. FD: The productivity function X → Y is called trivial if Y is part of X. In other words, the FD:X → Y dependency means that the value of Y is determined by the value of X. Two bunches of X values ​​that share the same thing must have the same Y value where Z = U - XY is the residue. In simple terms, if the values ​​of the X attributes are known (assuming they are x), then the values ​​of the Y attributes corresponding to x can be determined by looking at them in an R tuple containing x. Usually, X is called the determinant set and Y is called the correlation set. The efficient function FD: X → Y is said to be trivial if Y is part of X.

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Answer:

The angles are supplementary.

x = 31

Step-by-step explanation:

The way the two angles lay together and make a straight line shows that they are supplementary. Supplementary means that they add up to 180°

Use this idea to write an equation.

2x + 3x + 25 = 180

combine like terms

5x + 25 = 180

subtract 25

5x = 155

divide by 5

x = 31

Answer:

x = 31

Step-by-step explanation:

(3x + 25) and 2x are a linear pair and are supplementary, that is

3x + 25 + 2x = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

a) There are 270725 ways that 4 cards can be selected from a 52-card deck.
b) There are 13 ways that three of the same card can be selected from the deck.
c) There are 48 ways the player can select the remaining card (12 ranks remaining x 4 cards in each rank).
d) The probability of being dealt three of a kind from a standard 52-card deck is approximately 0.0211 or 2.11%.

a) To calculate the number of ways 4 cards can be selected from a 52-card deck, we use the combination formula, which is C(n, k) = n! / (k! * (n-k)!). In this case, n = 52 and k = 4. So, C(52, 4) = 52! / (4! * (52-4)!) = 270,725 ways.

b) To select three of the same card, we first choose one of the 13 ranks (e.g., aces, twos, etc.). Then, we choose 3 out of the 4 available cards of that rank. So, the number of ways to choose three of the same card is 13 * C(4, 3) = 13 * (4! / (3! * (4-3)!)) = 13 * 4 = 52 ways.

c) After selecting the three of a kind, there are 12 ranks remaining. We choose one rank and then select one of the 4 cards in that rank. So, the number of ways to select the remaining card is 12 * C(4, 1) = 12 * 4 = 48 ways.

d) To compute the probability of obtaining three of a kind, we divide the number of successful outcomes by the total number of possible outcomes. The successful outcomes are the product of the ways to choose three of the same card and the ways to choose the remaining card, which is 52 * 48 = 2,496. Therefore, the probability of obtaining three of a kind from 4 cards dealt is 2,496 / 270,725 ≈ 0.0092 (rounded to four decimal places as needed).

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Answer: The ride descends 168 feet.

Step-by-step explanation:

24 Feet x 7 seconds = 168 feet

For every second it is 24 feet, so 24 x 7.

The total change in elevation will be descending 168 feet when the ride lasts for 7 seconds.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

Given that a ride at an amusement descends 24 feet each second.

We have to determine the total change in elevation when the ride lasts for 7 seconds.

The total change in elevation is equal to the multiplication of 24 feet each second and the ride lasts for 7 seconds.

According to the given question, the solution would be

Total change in elevation = 24 Feet × 7 seconds

Apply the Multiplication operation,

Total change in elevation = 168 feet

Thus, the total change in elevation will be descending 168 feet when the ride lasts for 7 seconds.

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Answer:

\(y = -\frac{1}{2} x + \frac{17}{2}\)

Step-by-step explanation:

We are given that a line passes through the points (3, 7) and (-1, 9).

We want to find the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.

We can start with the slope (m); it can be found using the formula  \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are points.

Although we already know the values of the points, we can label them to avoid confusion and mistakes.

\(x_1=3\\y_1=7\\x_2=-1\\y_2=9\)

Now, we can find the slope:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{9-7}{-1-3}\)

\(m=\frac{2}{-4}\)

\(m = \frac{1}{-2}\)

The slope of the line is -1/2.

We can plug that into the formula for slope-intercept:

\(y=-\frac{1}{2} x + b\)

We now need to solve for b.

Since (3,7) and (-1,9) pass through the line, we can use either one of them to help solve for b.

Taking (3,7) for instance:

\(7 = -\frac{1}{2} (3) + b\)

Multiply

\(7 = -\frac{3}{2} + b\)

Add 3/2 to both sides.

\(\frac{17}{2} = b\)

Substitute 17/2 as b in the equation.

Our answer is:

\(y = -\frac{1}{2} x + \frac{17}{2}\)

Answer:

33 is the correct answer

Answer:

2x+5

Step-by-step explanation:

if the number is x

∴ 5 more than twice a number is

       ll                          ll

       V                         V

       +5                        *2

So, 2*x+5

Answer:

Yeah it is D you are correct but not C

\( \leadsto f( \rm x) = - {x}^{2} - 6x + 16\)

\( \\ \\ \)

\( \leadsto f( \rm x) = - {x}^{2} - 8x +6x + 16\)

\( \\ \\ \)

\( \leadsto f( \rm x) = - {x}(x + 8) +2(3x +8) \\ \)

\( \\ \\ \)

\( \leadsto f( \rm x) = {( - x + 2)}(x + 8) \\ \)

\( \\ \\ \)

\( \leadsto f( \rm x) = - {(x + 8)(x + 2)} \\ \)

Answer:

number 1 will be the Mean absolute deviation

Option 3 is correct. for f(x) = 1 and g(x) = 2 commutative, They are not commutative, because f(g(x)) and g(f(x) are not equal.

For the particular composite function to have the commutative property, we are supposed to have a situation where

 f(g(x)) ≡ g(f(x))

This is supposed to be for all values of x.

But in this question, what we have is  f(x) = 1 and g(x) = 2. This shows that they are not commutative because they are not equal.

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Answer:

Question 10 is 16 million dollars

38 million dollars divided into half = 19 million dollars

19 million dollars minus by 3 million = 16 million dollars

The inverse demand function is P = 20 – QD, and the inverse supply function is P = QS + 40. The equilibrium price is 30, and the equilibrium quantity is -10. The graph illustrates these relationships.


a. To find the inverse demand and inverse supply functions, we need to solve the given demand and supply equations for the price (P).
Demand equation: QD = 20 – P
Inverse demand: P = 20 – QD
Supply equation: QS = -40 + P
Inverse supply: P = QS + 40

b. To determine the equilibrium price and quantity, we need to set the demand and supply equations equal to each other and solve for the price (P).
20 – QD = QS + 40
Since both QD and QS represent the same quantity, we can substitute QD with QS:
20 – QS = QS + 40
Rearranging the equation:
2QS = -20
Dividing by 2:
QS = -10
Substituting the value of QS back into either the demand or supply equation to find the equilibrium price:
P = QS + 40
P = -10 + 40
P = 30
So the equilibrium price is 30, and the equilibrium quantity is -10.

c. Let’s graph the demand and supply curves to illustrate this. We’ll use the price (P) on the vertical axis and the quantity (Q) on the horizontal axis.
Demand curve:
- Set P = 0 in the inverse demand equation to find the x-intercept:
0 = 20 – QD
QD = 20
- Set QD = 0 to find the y-intercept:
P = 20 – QD
P = 20 – 0
P = 20
Plot the points (0, 20) and (20, 0) on the graph and draw a straight line connecting them.
Supply curve:
- Set P = 0 in the inverse supply equation to find the x-intercept:
0 = QS + 40
QS = -40
- Set QS = 0 to find the y-intercept:
P = QS + 40
P = -40 + 40
P = 0
Plot the points (0, 0) and (-40, 0) on the graph and draw a straight line connecting them.
Finally, mark the equilibrium point where the demand and supply curves intersect. In this case, it’s (Q = -10, P = 30).
The graph should show the demand curve sloping downwards from the top left to the bottom right, the supply curve sloping upwards from the bottom left to the top right, and the equilibrium point (Q = -10, P = 30) where the curves intersect.

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Since we are given the total utility for each level of consumption, we can find the marginal utility for each level by taking the difference between the total utility of the current level and the previous level.

For example, the marginal utility of the fourth taco is the difference between the total utility of consuming four tacos and the total utility of consuming three tacos:

Marginal Utility of 4th taco = Total Utility of 4 tacos - Total Utility of 3 tacos

= (10 + 8) - (6 + 3)

= 10

Therefore, the marginal utility experienced from consuming the fourth taco is 10 utils.

Answer: C. 10 utils.

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Answer:

x=3

Step-by-step explanation:

distribute 3 into (x+2)

3x+6=x+12

move all the x variables to one side and all the numbers to another side

3x+6=x+12                                                                                                                         -3x      -3x

6=-2x+12

-12       -12

6-12=-2x

-6=-2x

isolate x by dividing everything by -2

-6/-2=-2x/-2

eliminate the -2 multiplying the x with the -2 dividing the -2x

-6/-2= x

x=3

Answer:

x=3

Step-by-step explanation:

3(x+2)=x+12

First, distribute the 3(x+2).

3x+6=x+12

Next, subtract 1x from each side. That will cancel out the x in the x+12.

2x+6=12

Subtract 6 from both sides. Canceling out the 6 in the 3x+6.

2x=6

Divide both sides by 2.

x=3

Thus, the p-value is greater than 0.10 (the significance level α), indicating that there is not enough evidence to support the alternative hypothesis.

To find the p-value, we need to calculate the test statistic and compare it to the critical value.

Given:

Sample 1: sample size (n1) = 22, variance (\(s_{1}^2\))

= 8, mean (x1(bar))

= 51

Sample 2: sample size (n2) = 20, variance (\(s_{2}^2)\)

= 11, mean (x2(bar))

= 50.5

To calculate the test statistic, we can use the formula for the difference in means:

t = (x1(bar) - x2(bar)) / √((\(s_{1}^2\)/n1) + (\(s_{2}^2\)/n2))

Substituting the given values:

t = (51 - 50.5) / √((8/22) + (11/20))

  = 0.5 / √(0.3636 + 0.55)

  = 0.5 / √0.9136

  ≈ 0.53

Now we need to find the degrees of freedom. For independent samples with equal variance, the degrees of freedom (df) can be calculated using the formula:

df = n1 + n2 - 2

Substituting the given values:

df = 22 + 20 - 2

  = 40

With α = 0.10, the critical value for a one-tailed test (upper tail) with 40 degrees of freedom is 1.684.

Now, we can determine the p-value. Since the alternative hypothesis is μ1 - μ2 > 0, we are conducting an upper-tailed test.

The p-value is the probability of obtaining a test statistic as extreme as the one observed (t = 0.53) under the null hypothesis.

By comparing the test statistic to the critical value, we can determine the conclusion:

Since the test statistic (0.53) is less than the critical value (1.684), we fail to reject the null hypothesis.

Therefore, the conclusion is: "We don't have enough evidence to conclude that the difference in means is > 0; therefore, H0 is not rejected."

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The slope of a logarithmic graph depends on the type of logarithm used.

For a logarithmic function in the form y = log(b,x) where b is the base of the logarithm, the slope of the graph is undefined for x=0 and for x<0 because logarithmic functions are not defined in those cases.

For a natural logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.

For a common logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.

It's important to note that logarithmic functions are not linear functions, and therefore they do not have a constant slope, the slope of a logarithmic graph will change throughout the graph.

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