How to find two different ways to find the new value after the original value is increased by 30%

Answer:

7,000 - 2,386 = 4,614

The inequality that represents the number d of dragonfly’s you must catch to earn a new high score, d> 1200.

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

To set a new record, you must score at least

= 36,480 – 34,280

= 2,200 points.

When you have earned 35,000-34,280 points, you need 720 more to qualify for the bonus.

Total = 36,000 points after obtaining 720 dragonflies.

Bonus points = 1000 points.

As, we need more than 480 additional dragonflies to surpass your previous best.

So, The total of all the dragonflies shows that more than 1200 are required.

Then, the inequality is d> 1200.

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To calculate the odds of an event happening, we need to determine the probability of the event occurring and the probability of the event not occurring. In this case, we have a 25% chance of the event happening in each attempt, and we want to know the odds of it happening 4 out of 5 times.

The probability of the event happening 4 out of 5 times can be calculated using the binomial probability formula. The formula is P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where n is the number of attempts, k is the number of successful attempts, and p is the probability of success in each attempt.

Using the given values, we have n = 5, k = 4, and p = 0.25. Plugging these values into the formula, we can calculate the probability of having 4 successful attempts out of 5.

To calculate the odds, we divide the probability of the event happening by the probability of the event not happening. The odds can be expressed as a ratio or as a fraction.

I apologize for the confusion earlier. In this case, since we have calculated the probability, we can express it as a fraction or as a decimal. The odds would typically refer to the ratio of the probability of success to the probability of failure. Since we have the probability, we can use that to determine the likelihood of the event occurring.

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To calculate the odds of an event happening, we need to determine the probability of the event occurring and the probability of the event not occurring. In this case, we have a 25% chance of the event happening in each attempt, and we want to know the odds of it happening 4 out of 5 times.

The probability of the event happening 4 out of 5 times can be calculated using the binomial probability formula. The formula is P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where n is the number of attempts, k is the number of successful attempts, and p is the probability of success in each attempt.

Using the given values, we have n = 5, k = 4, and p = 0.25. Plugging these values into the formula, we can calculate the probability of having 4 successful attempts out of 5.

To calculate the odds, we divide the probability of the event happening by the probability of the event not happening. The odds can be expressed as a ratio or as a fraction.

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Answer: 7^(-29)

Step-by-step explanation:

Answer:

7^(-29)

Step-by-step explanation:

the answer is 4 because the length is on one side of the triangle and that same length applies to the other triangle

The leftover cupcakes were 15% of the total cupcakes made on Friday.

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

If the 100 cupcakes sold from 9:00 AM to 12:00 PM were 3/10 of the total cupcakes sold that day, we can set up the following equation:

100 = (3/10) x  total cupcakes

Solving for the total number of cupcakes, we get:

total cupcakes = 100 x (10/3) = 333.33 (rounded to the nearest whole number)

So the bakery made 333 cupcakes on Friday.

The number of cupcakes left at the end of the day was 50, so the percentage of cupcakes that were left over is:

(50 / 333) x 100% ≈ 15%

Therefore, the leftover cupcakes were 15% of the total cupcakes made on Friday.

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Answer:

Step-by-step explanation:

y = -5x

When x = -2 ; y = -5* (-2) = 10   ;  (-2 , 10)

When x = -1   ;   y = -5 *(-1) = 5   ;    (-1 , 5)

When x = 0  ,     y = 0               ;     (0 , 0)

When  x = 1  ;     y = -5 *1 = -5    ;     (1 , -5)

When x = 2 ;     y = -5 *2 = -10   ;     (2 , -10)

Mark these points (-2 , 10) ,  (-1 , 5) , (0 , 0) , (1 , -5) , (2 , -10) and join them.

The probability of an employee randomly selecting three white chocolates out of ten is 0.25028228759765625 or approximately 0.25. Probability is the possibility that an event will occur.

The formula for calculating probability is as follows: P(A) = n(A) / n(S), where n(A) represents the number of favorable outcomes and n(S) represents the number of possible outcomes.

In the case where an employee randomly selects a chocolate, records their selection, and returns the chocolate to the display, selecting 10 chocolates in this way, the possible number of outcomes is 4 * 10 = 40, where the 4 represents the total number of chocolate types and the 10 represents the total number of chocolate selected.

The formula for the binomial distribution is as follows: P(X = x) = \((nCx) p^x (1 - p)^(n - x)\), where n is the total number of trials, x is the total number of successes, p is the probability of success, 1 - p is the probability of failure, and nCx is the binomial coefficient of x in n.

Using the binomial distribution formula, the probability of selecting three white chocolates is:

P(X = 3) = (10C₃) (1/4)^3 \((3/4)^(10 - 3)\) P(X = 3)

= (120) (1/64) (27/64)P(X = 3)

= 0.25028228759765625

Therefore, the probability of an employee randomly selecting three white chocolates out of ten is 0.25028228759765625 or approximately 0.25.

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We can calculate the percentages according to the amounts provided in the prompt, and then make a number line to illustrate each percentage as follows:

a) The price of the book decreased by 20%.

$15.00             $12.00

  |-----------------|------->

      100%            80%

b) The percentage decrease in the number of students who take the bus to school is 25%.

200               150

  |-----------------|------->

     100%            75%

Calculating percentages involves finding a portion of a whole expressed as a fraction of 100. To calculate a percentage, divide the part by the whole and then multiply the result by 100.

For example, if 20 out of 100 students are absent, the percentage of absent students is:

(20/100) x 100 = 20%.

With that in mind, we can conclude that we have correctly answered this question.

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Answer:

19.3

Step-by-step explanation:

\(\frac{2(-6)^2 + 5}{7} + (-2)\\\\\frac{-12^2 + 5}{7} + (-2)\\\\\frac{144 + 5}{7} + (-2)\\ \\\frac{149}{7} + (-2)\\ \\21.3 + (-2)\\\\19.3\)

Answer:

19.3

Step-by-step explanation:

Answer: y = $50x + $25

Step-by-step explanation:

      First, let x be equal to the hours of service and y be the total cost. Since the cost is 50 dollars per hour of service, we will write this as "y = 50x" for our equation.

      Next, there is a 25-dollar charge for each call. We will add this to our equation as "y = 50x + 25."

Our equation is;

      y = $50x + $25

The correct answer is d. emergent.

An emergent leader is an individual who grows into the leadership role naturally, often due to circumstances or necessity. They are not appointed or assigned to the position of leadership but rather emerge from the group or organization based on their skills, qualities, or actions.

Emergent leaders may possess certain qualities or demonstrate their competence and ability to guide and influence others. They gain recognition and respect from their peers, leading to their emergence as leaders within the group or organization.

This type of leadership often occurs in situations where formal leadership structures may be absent or ineffective, and individuals step up to take charge based on their capabilities and the needs of the group.

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The area in a square meter is 5$. We can equate the two expressions for the length of the edge of the square and solve for x:

$4x - 15 = 20 - 3x$

$7x = 35$

$x = 5$

The length of one edge of the square is 5 meters, so the area of the square is $5^2 = 25$ square meters. Therefore 5$ is the solution for the $4x-15$ and  20 - 3x$ equation. 15 and 3 will exchange their places to form 7$ and 35$ and 5$ is the end result of the problem that is given.

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Answer:

y = -2/3x

Step-by-step explanation:

To write in y=mx+b form, you need the y-intercept (b) and the slope (m).

The y-intercept is the point the line crosses the y-axis.  This line crosses the y-axis of (0, 0).  This makes the y-intercept equal to 0.

The slope is the rise of the line over the run of the line.  Pick two points from the line.  It doesn't matter which ones, you will get the right answer regardless.  

I picked (0, 0) and (-3, 2).  Subtract the x-values from each other, and subtract the y-values from each other.

-3 - 0 = -3  (x)

2 - 0 = 2  (y)

Divide the y by the x to find the slope.

2/-3 = -2/3

Plug in the slope and y-intercept into the equation.

y = mx + b

y = -2/3x + 0

y = -2/3x

Step-by-step explanation:

I need help to...

I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.

The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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Answer:

answer is 2/6

becoz 2/6=0.3333333333 which is repeating or recurring decimal

Step-by-step explanation:

The total cost of this television at the store is $193.30

Given,

A $165 television has indeed been increased 110% in price at an electronics store. When Trevor buys the TV, he is bound to pay 6.5% in sales tax.

A $165 television has been increased 110% in price at an electronics store.

When Trevor buys the TV, a 6.5% sales tax is due.

Consequently, this television will cost in the store a total of

The total cost of the TV is equal to 165 dollars multiplied by 1.10 and 1.065.

⇒ $165*1.10*1.065

  = $193.30

TVs cost a total of $193.30.

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Answer:

22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

4x+6y-3x+7

4(3)+6(2)-3(3)+7

12+12-9+7

24-9+7

15+7

22

Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.

For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.

Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.

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Answer:

rocks. rocks everywhere means no where for trees so no foods.

Step-by-step explanation:

The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

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the maximum dimensions of the box would be 60 cm x 60 cm x 60 cm in order to have the maximum allowable volume while still meeting the airline's luggage restrictions.

If the length and width of the box are equal, we can call the length and width x. Then, the height of the box would also be x in order to maximize the volume.

The sum of the length, width, and height of the box would be:

x + x + x = 3x

We know that the sum of the length, width, and height must be less than or equal to 180 cm. So:

3x ≤ 180

Simplifying, we get:

x ≤ 60

Therefore, the maximum dimensions of the box would be 60 cm x 60 cm x 60 cm in order to have the maximum allowable volume while still meeting the airline's luggage restrictions.

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Dimensions, the sum of the length, width, and height is 360 cm.

Let's assume that the length, width, and height of the box are all equal to

x cm. Since the length and width are equal, we can write:

Length = Width = x

The volume of the box can be expressed as:

Volume = Length x Width x Height

Volume = x × x × (180 - 2x) (since the height is equal to 180 - length - width)

To find the dimensions of the box that would give us the maximum volume, we need to differentiate the volume function with respect to x and set it equal to zero:

\(dV/dx = 3x^2 - 360x = 0\)

Solving this equation, we get:

x = 0 or x = 120

Since x cannot be zero, the only possible value for x is 120 cm. Therefore, the dimensions of the box should be:

Length = Width = Height = 120 cm

With these dimensions, the sum of the length, width, and height is:

Length + Width + Height = 120 + 120 + 120 = 360 cm

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The term for placing concertina wire on top of a pre-existing fence is called "topping" or "topping with concertina wire."

Topping is a common security measure used to enhance the deterrent value and effectiveness of a fence by adding a layer of concertina wire or barbed wire on its top.

The concertina wire consists of sharp, barbed or razor wire coils that are attached to the fence at regular intervals.

This additional layer of security helps to prevent unauthorized entry or climbing over the fence, providing an additional physical barrier and discouraging potential intruders.

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The statement "The make of the auto is used for analysis and is considered categorical" is true, and it is a nominal categorical variable.

The main reason for the statement being true is that the make of an auto is considered a categorical variable because it is in a specific group that cannot be ordered. The make of a car cannot be arranged in any order, but it can be counted. It is divided into groups that contain the same values. Categorical variables have two types: nominal and ordinal, but make is nominal because there is no way to put car makes in any type of order. For example, Toyota cannot be considered greater or less than BMW. Therefore, a survey of autos parked in student and staff lots at a large college recorded the make, country of origin, type of vehicle (car, SUV, etc.) and age. The make of the auto is used for analysis and is considered categorical.

Thus, the statement "The make of the auto is used for analysis and is considered categorical" is true, and it is a nominal categorical variable.

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After analyzing the logical structure of both statements, we can say that statement (a) and statement (b) are logically equivalent.

Let's analyze the statements to determine their logical equivalence.

Statement (a): Bob is majoring in both math and CS, and Ann is majoring in math, but Ann is not majoring in both math and CS.

Statement (b): It is not the case that Bob and Ann are majoring in both math and CS, but it is the case that Ann is majoring in math and Bob is majoring in both math and CS.

In statement (a), we have Bob majoring in both math and CS, and Ann majoring in math but not majoring in both math and CS. This can be represented as (Bob ∧ Ann ∧ Math ∧ ¬(Math ∧ CS)).

In statement (b), it is not the case that Bob and Ann are majoring in both math and CS, but it is the case that Ann is majoring in math and Bob is majoring in both math and CS. This can be represented as (¬(Bob ∧ Ann ∧ Math ∧ CS) ∧ Ann ∧ Math ∧ Bob ∧ (Math ∧ CS)).

When we simplify both statements, we find that they are equivalent:

Statement (a): (Bob ∧ Ann ∧ Math ∧ ¬(Math ∧ CS))

Statement (b): (¬(Bob ∧ Ann ∧ Math ∧ CS) ∧ Ann ∧ Math ∧ Bob ∧ (Math ∧ CS))

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The value of det(A²B⁻¹A⁻²B²) is 60², which is equal to 3600.

To compute det(A²B⁻¹A⁻²B²), we can use the properties of determinants. Recall that det(AB) = det(A)det(B) and det(A⁻¹) = 1/det(A) for a square matrix A.

Using these properties, we can simplify the expression as follows:

det(A²B⁻¹A⁻²B²) = det(A)²det(B⁻¹)det(A⁻²)det(B²)

= (det(A)det(B))²(det(B⁻¹)det(A⁻²))

= (-60 * 24)²(det(1/B)det(1/A))

Since det(1/B) = 1/det(B) and det(1/A) = 1/det(A), we can further simplify:

det(A²B⁻¹A⁻²B²) = (-60 * 24)²(1/det(B))(1/det(A))

= 60² * 24² * (1/24) * (1/(-60))

= 60²

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The resale value of the laptop after each year is calculated by multiplying the previous value by 0.65 (100% - 35% = 65%). After 4 years the resale value will be $250.

For the equilibrium system of Ni(H2O)6(aq) + 6NH3(aq) + HCl, adding more HCl will shift the equilibrium to the right, resulting in more Ni(NH3)2(aq) and H2O(l) being formed.

For the equilibrium system of Cu(H2O)4(aq) + 4Br-(aq) + heat, adding more heat (or increasing temperature) will shift the equilibrium to the left, resulting in less CuBr2(aq) and H2O(l) being formed.

For the equilibrium system of SO3(g) + 120(g) ↔ SO2(g) + O2(g), removing heat (or decreasing temperature) will shift the equilibrium to the right, resulting in more SO2(g) and O2(g) being formed.

For the equilibrium system of Ag2CO3(s) + 2Ag+(aq) + CO32-(aq), adding HCl(aq) will shift the equilibrium to the left, resulting in less Ag2CO3(s) and more Ag+(aq) and CO32-(aq) being formed.

For the equilibrium system of CaCO3(s) ↔ Ca2+(aq) + CO32-(aq), adding rainwater (which is typically slightly acidic) will shift the equilibrium to the left, resulting in less Ca2+(aq) and CO32-(aq) and more CaCO3(s) being formed.

For the equilibrium system of CH3COOH(aq) ↔ CH3COO-(aq) + H+(aq), adding CH3COONa(aq) will shift the equilibrium to the left, resulting in less CH3COO-(aq) and more CH3COOH(aq) being formed

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