Solve the equation for x:
2x - 3) = 5

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.

3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

If she can husk 8 in 24mins

⟩ 8 = 24

Let x = ears of corn in 33mins

⟩ 8 = 24

x = 33

If less more divide

⟩ 24x = 8×33

⟩ x = 264÷24

⟩ x = 11 mins

Answer: 14

Step-by-step explanation: chau's height = x

x * 5 =70

5x = 70

x = 70/5

x = 14

The ΔAED and ΔBAC share a common vertex angle at point A, and given

that ∠AED ≅ ∠ACB, the two triangles are similar.

The two column proof is presented as follows;

Statement \({}\)                       Reason

∠AED ≅ ∠ACB \({}\)               Given

∠EAD ≅ ∠CAB  \({}\)              Reflexive property

ΔAED ~ ΔBAC  \({}\)              AA, Angle-Angle similarity postulate

∠ABC ≅ ∠ADE  \({}\)             CASTC

Reasons:

AA Angle-Angle similarity postulate;

The Angle-Angle similarity postulate states that two triangles are similar, if

two angles on one triangle are congruent to two angles on the other

triangle.

Given that two angles on ΔAED are congruent to two angles on ΔBAC, the two triangles are similar, and therefore, the three angles of both triangles are congruent.

CASTC is the acronym for Corresponding Angles of Similar Triangles are Congruent, which points out that given two similar triangles, the angles on one triangle are congruent to the corresponding angle on the other triangle.

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The amount of money that Jason will receive in one year after all deductions have been taken for each company is $30,780.5 and $32562.

With the first job, he would be an apartment property manager for AMLI Company.

This job is offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he sets a one-year lease-up with.

The company expects Jason to work all 52 weeks of the year and 40 hours per week.

He was told he could expect to set up an average of 5 lease agreements for each week that he works.

The amount after one year will be given by an equation

Let y be the amount, x be the number of hours in a week and z be the number of the week.

y = 19x + 40z

The total number of hours in a year will be

x = 2080

Then

y = 19 × 2080 + 40 × 52

y = $ 41,600

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 41,600 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 32,160.5

The amount after the insurance will be

Amount = 32160.5 - 115 × 12

Amount = $ 30780.5

With the second job, he would work as a water treatment facility manager in Gwinnett County. He would be paid an annual salary of $46,000 a year, there are no bonuses and he gets a week off.

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 46,000 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 35,562

The amount after the insurance will be

Let the number of the worker be 10. Then

Amount = 35,562 - 10 × 12 × 25

Amount = 35562 - 3000

Amount = $32562

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Answer:

D. Use the Distributive Property. You clear the parentheses and then solve the two-step equation.

Step-by-step explanation:

To solve the given expression;

    2(w − 3) = 5

Use the Distributive Property. You clear the parentheses and then solve the two-step equation;

Is the most appropriate procedure to follow:

     2(w − 3) = 5;

Distributive property will clear the parentheses;

    2w - 6  = 5

Then add 6 to both sides;

    2w -6 + 6 = 5 + 6

        2w  = 11

Then divide both sides by 2;

        w  = \(\frac{11}{2}\)

The probability of the horse finishing in second place is approximately 0.29.

To convert the odds given as "29 to 71" into a probability value, we can divide the number of favorable outcomes (29) by the total number of possible outcomes (29 + 71 = 100).

The probability is calculated as:

Probability = Number of favorable outcomes / Total number of possible outcomes.

In this case, the probability is 29/100, which is equal to 0.29.

To convert odds to probability, we divide the number of favorable outcomes (29) by the total number of outcomes (29 + 71 = 100). The probability of the horse finishing in second place is 29/100, which simplifies to 0.29 or 29%.

This means there is a 29% chance or likelihood of the horse finishing in second place based on the given odds.

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The equation of the plane that contains the line v = (-1, 1, 2) t(6, 4, 3) and is perpendicular to the plane 8x - 5y - 3z - 6 = 0 can be found using the cross product of the direction vector of the line and the normal vector of the plane. The cross product of these two vectors results in the normal vector (3, 42, -62) of the plane.

This vector can be used in the equation 3(x - x0) + 42(y - y0) - 62(z - z0) = 0, with a point on the line, such as (-1, 1, 2), as the point (x0, y0, z0). This results in the equation 3x + 42y - 62z + 85 = 0.

To find an equation for the plane that contains the line v = (-1, 1, 2) t(6, 4, 3) and is perpendicular to the plane 8x - 5y - 3z - 6 = 0, we can use the cross product of the direction vector of the line and the normal vector of the plane.

The direction vector of the line is (6, 4, 3) and the normal vector of the plane is (8, -5, -3).

The cross product of these two vectors is:

| i  j  k  |

| 6  4  3  |

| 8 -5 -3  |

= i(-12 - (-15)) - j(-18 - 24) + k(-30 - 32)

= i(3) - j(-42) + k(-62)

= (3, 42, -62)

This vector is perpendicular to both the direction vector of the line and the normal vector of the plane, so it is the normal vector of the plane we are looking for.

The equation of the plane can be written as:

3(x - x0) + 42(y - y0) - 62(z - z0) = 0

We can use a point on the line, such as (-1, 1, 2), as the point (x0, y0, z0) in the equation:

3(x - (-1)) + 42(y - 1) - 62(z - 2) = 0

3x + 3 + 42y - 42 - 62z + 124 = 0

3x + 42y - 62z + 85 = 0

Therefore, the equation of the plane that contains the line v = (-1, 1, 2) t(6, 4, 3) and is perpendicular to the plane 8x - 5y - 3z - 6 = 0 is 3x + 42y - 62z + 85 = 0.

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Answer:

(2.0)*36 or d.)

Step-by-step explanation:

Answer:

pls see attached

Step-by-step explanation:

Answer: The answer is the first/top choice.

Step-by-step explanation: By definition, congruent is "Identical in form, coinciding exactly when superimposed". If you superimposed on onto the other, it would not match up, and therefore would not be congruent.

Answer:

The answer is D.

Step-by-step explanation:

hope that helps

(2x⁴y)³

=8x¹²y³

Answer:

C. $4.50

Step-by-step explanation:

hello, there.

1) 2p + 3c = 17.50

2) 5p + 2c = 19.00

:

Solve equation 1 for p

:

p = (17.50 - 3c) / 2

:

Substitute for p in second equation

:

(5(17.50 - 3c) / 2) + 2c = 19.00

:

Multiply both sides of = by 2

:

(5(17.50 - 3c)) + 4c = 38.00

:

87.50 - 15c + 4c = 38.00

:

-11c = -49.50

:

c = 4.50

:

---------

Cashews are $4.50 per pound

--------------

:have a great day.

Answer:

C

Step-by-step explanation:

Let p represent the cost for one pound of peanuts and let c represent the cost for one pound of cashews.

Two pounds of peanuts and three pounds of cashews cost $17.50. So:

\(2p+3c=17.5\)

Five pounds of peanuts and two pounds of cashews cost $19.00. So:

\(5p+2c=19\)

This yields a system of equations.

We can solve this using elimination. We can multiply the first equation by -5, and the second by 2. Therefore:

\(-5(2p+3c)=-5(17.5)\)

Multiply:

\(-10p-15c=-87.5\)

And:

\(2(5p+2c)=2(19)\)

Multiply:

\(10p+4c=38\)

Now, we can add the two equations together:

\((-10p-15c)+(10p+4c)=(-87.5+38)\)

Combine like terms:

\(-11c=-49.5\)

Therefore:

\(c=4.5\)

So, a pound of cashews costs $4.50.

Our answer is C.

Notes:

To solve for the cost for peanuts, we can use the first (or second equation) again:

\(2p+3c=17.5\)

Substitute:

\(2p+3(4.5)=17.5\)

Solve for p:

\(2p+13.5=17.5\Rightarrow 2p=4\Rightarrow p=2\)

So, a pound of peanutes cost $2.00.

Answer:

9

Step-by-step explanation:

Just substitute -2 in for a and 5 in for b

\(a^2 + b\\-2^2 + 5\\4 + 5\\9\)

Whenever you square a negative number the result is positive

Answer:

The answer is 9 or 3squared

Step-by-step explanation:

Swap the -2 in for a and 5 in for b

When ever a negative number is squared the answer will be a postive number.

The slope of the line passing through the point A(-2, -7) and B(-5, -5) is - 2 / 3.

The slope of a line is the change in dependent variable with respect to the change in the independent variable .

The slope of a line is change in y divided by the change in x.

The slope of a line can be represented as follows:

slope = m = Δy / Δx

Therefore,

slope = y₂ - y₁ / x₂ - x₁

Hence,

using (-2, -7) and (-5, -5)

x₁ = -2

x₂ = -5

y₁ = -7

y₂ = -5

Therefore,

slope = -5 + 7 / -5 + 2

slope = 2 / -3

slope = - 2 / 3

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Step-by-step explanation:

it would be 3 lol good luck

Answer:

3

Step-by-step explanation:

I took the quiz

(A→C)∧(C→B′)∧B→A′ is the given proposition. Now, we have to prove that [A→(B→C)]→[B→(A→C)].Proof:We have to prove that [A→(B→C)]→[B→(A→C)] is a tautology.By using the conditional proof method, we have to assume that [A→(B→C)] is true and then show that [B→(A→C)] is also true.

For this, we have to use the rules of inference. Let's begin:1. Assume A → (B → C) is true.2. By Simplification, A is true because we have (A ∧ B) given in the premises.3. By Simplification, B is also true because we have (A ∧ B) given in the premises.4. By Modus Ponens, (B → C) is true.5. By Modus Ponens, (A → C) is true.6. By Simplification, we get C is true.7. By Modus Ponens, (B → (A → C)) is true.8. By Modus Ponens, [(A → (B → C)) → (B → (A → C))] is true. Thus, the proof is completed.Note: Please provide the complete question to receive the correct answer.

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Loss aversion can be explained as the fact that people tend to feel the negative consequences of loss more strongly than the positive effects of an equal gain. This means that people will often take risks in order to avoid a loss rather than in order to make a gain.

Loss aversion is typically modelled in a Prospect Theory value function. This function takes into account both the probability and magnitude of a gain or loss. The value function has two different curves, one for gains and one for losses. These curves are both steeper in the loss domain than they are in the gain domain. This means that losses are generally seen as more important than gains of the same magnitude. Let's take an algebraic example to illustrate this: Suppose that a person has to choose between two options: A 50% chance of winning $100 A sure win of $50In this case, a rational decision maker would choose option A, .

However, if the person has loss aversion, they might choose option B because the thought of losing $100 is too painful to bear. This is reflected in the value function, where the curve for losses is steeper than the curve for gains. b. A reference point can be defined as the starting point from which a person evaluates their gains and losses. This reference point can be subjective and will vary from person to person. However, once a reference point has been established, people will tend to evaluate gains and losses relative to this point. This means that they will view gains above this point as positive and losses below this point as negative. A reference point can be anything from a person's initial investment to their current wealth status. The reference point is important because it determines how people view the outcomes of their decisions.

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Answer:

Step-by-step explanation:

x= 180-110(angles on a straight line)

x= 70

y=x=70 (alternate angles)

z= 110(alternate angles)

The 2x5+18 = 18 is not correct, as the 2x does not apply to the +8 part (the whole equation). The equation Maria has given actually means they bought 2 drinks, but only 1 popcorn. The actual equation must be 2(5+8) = 26.

The given statement "sub-average intellectual functioning is defined as an iq approximately two standard deviations below the mean." is true because IQ is normally distributed with a mean of 100 and a standard deviation of 15.

Intelligence quotient (IQ) is a measure of intelligence that is often expressed as a standardized score with a mean of 100 and a standard deviation of 15. According to this scale, a score of 70 or below is generally considered to be indicative of sub-average intellectual functioning.

This corresponds to an IQ approximately two standard deviations below the mean.

Sub-average intellectual functioning is commonly associated with developmental disabilities, such as intellectual dis-ability .

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Answer:

The answer is 140$ in her account. But if your asking what she owes and has in her account it's -110 since she still owes.

Step-by-step explanation:

Answer:$110

Step-by-step explanation: $250 owed- 180Payment =70. Then add the 40 spent (70+40) to get 110 owed

Simple random sampling is a sort of possibility sampling in which the researcher randomly selects a subset of members from a populace.

Each member of the populace has an same hazard of being decided on. data is then accumulated from as big a percent as feasible of this random subset.Taking a easy random sample from every of a number of subgroups as an instance, decrease-income catholics, middle-earnings protestants.

An example of a simple random pattern will be the names of personnel being chosen out of a hat from a agency of employees. In this case, the populace is all personnel, and the pattern is random due to the fact each employee has an same risk of being chosen.

Random sampling is a part of the sampling technique in which each pattern has an identical chance of being chosen. A pattern selected randomly is meant to be an unbiased illustration of the whole populace.

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The width of the waiting area is 95 feet if the length of the area is 120 feet. Thus, option A is correct.

The area of the roller-coaster = 11,400 square feet

Length of area = 120 feet

The shape of Smiler roller coaster is rectangular-shaped. The area of the roller coaster can be calculated by using the product of length and width. The width of the roller coaster is calculated by dividing the total area by length.

Mathematically, the formula is:

width = area/length

width = 11,400 / 120

width = 95 feets

Therefore, we can conclude that the width of the waiting area is 95 feet.

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Answer:

Hypotenuse = 159 ft (nearest integer)

\(\sin(x)=\dfrac{53}{159}\)

\(\cos(x)=\dfrac{150}{159}\)

\(\tan(x)=\dfrac{53}{150}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}\)

From inspection of the given right triangle:

Substitute these values into Pythagoras Theorem and solve for c (hypotenuse):

\(\implies 53^2+150^2=c^2\)

\(\implies 2809+22500=c^2\)

\(\implies 25309=c^2\)

\(\implies c=\sqrt{25309}\)

\(\implies c=159.0880259...\)

\(\implies c=159\;\; \sf ft\;\;(nearest\;integer)\)

Therefore, the hypotenuse of the given triangle is 159 ft (nearest integer).

-----------------------------------------------------------------------------------------------

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

Given:

Substitute the values into the ratios:

\(\implies \sin(x)=\dfrac{53}{159}\)

\(\implies \cos(x)=\dfrac{150}{159}\)

\(\implies \tan(x)=\dfrac{53}{150}\)

SOHCAHTOA is a mnemonic for the definitions of the trigonometric ratios applicable to right triangles:

(See attachment).

Answer:

10

Step-by-step explanation:

let the number be n then half the number is \(\frac{1}{2}\) n , so

\(\frac{1}{2}\) n + 69 = 74 ( subtract 69 from both sides )

\(\frac{1}{2}\) n = 5 ( multiply both sides by 2 to clear the fraction )

n = 10

Thus the number is 10

The length of the slant height, L, is approximately equal to √41 inches.

To find the length of the slant height, L, of a square pyramid, you can use the Pythagorean theorem.

The slant height, L, forms a right triangle with the height and half the length of the base.

In this case, the height of the square pyramid is given as 5 inches, and the base length is 8 inches.

The half of the base length is 8/2 = 4 inches.

Now, let's apply the Pythagorean theorem:

L² = h² + (1/2 × b)²

where L is the slant height, h is the height, and b is half the length of the base.

Substituting the given values:

L² = 5² + (4)²

L² = 25 + 16

L² = 41

L = √41

Therefore, the length of the slant height, L, is approximately equal to √41 inches.

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