Reduce to simplest form.
−
7
8
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(
−
1
2
)
=
−
8
7
​
+(−
2
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)=minus, start fraction, 7, divided by, 8, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis, equals

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

you’re given A=0.62 and B/A=0.93

you’re solving for B

substitute your A value of 0.62

B/0.62=0.93

same as B/0.62=0.93/1

now cross multiply

B= 0.62x0.93

B=0.5766

B=0.58

Answer: Can I see the whole questions?

Step-by-step explanation:

Answer:

Booker:  $103.50 profit

Finley:  $34.50 profit

Step-by-step explanation:

b = # of candles Booker sold

f = # of candles Finley sold

1)  b = 3f

2) f = b - 12    substitute b=3f into this equation to get an expression all in terms of f, then solve for f

f = 3f - 12

-2f = -12

f = -12/2 = 6    now plug this into either equation and solve for b

b = 3(6) = 18

Booker:  18 candles x $5.75 profit/candle = $103.50 profit

Finley:  6 candles x $5.75 profit/candle = $34.50 profit

Answer:

540

Step-by-step explanation:

\(\huge \text{Hello there! :)}\)

It's a wonder to help you today!

Answer:

Step-by-step explanation:

"In the first case of a typing error, the person must wait 60seconds to enter the code again.The wait time doubles compared to the previous wait time for each wrong entry."

The statement above implies that the Try/wait time for the code is 30 seconds.

The code was activated on the fourth attempt by a person.

The information provided above can be represented in the table attached

According to the attachment total, the Try time is 120seconds and the Total Wrong time is 420seconds.

Hence, the total it took the person to activate the radio is 120 + 420 = 540 seconds which is option C

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The formula to find the coordinates of a bearing and distance is d = √(x₂ - x₁)² + (y₂ - y₁)²

Coordinates

In math, the coordinates refers the pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

Given,

Here we need to find the coordinates of a bearing and distance.

Here we know that, the distance between two points is the length of the line segment that connects the two points in a plane.

And the formula to find the distance between the two points is usually given by

d =√((x2 – x1)² + (y2 – y1)²).  

Therefore, the formula is used to find the distance between any two points on a coordinate plane or x-y plane.

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For the polynomials p(x) = 1 - x + 4x² and q(x) = x - x², (p, q) = 10, ||p|| = √18, ||a|| = √18, and d(p, q) cannot be determined. For the vectors u = (0, 2, 3) and v = (2, 3, 0), (u, v) = 6, ||u|| = √13, ||v|| = √13, and d(u, v) cannot be determined.

In the first scenario, we have p(x) = 1 - x + 4x² and q(x) = x - x². To find (p, q), we substitute the coefficients of p and q into the inner product formula:

(p, q) = (1)(0) + (-1)(2) + (4)(3) = 0 - 2 + 12 = 10.

To calculate ||p||, we use the formula ||p|| = √((p, p)), substituting the coefficients of p:

||p|| = √((1)(1) + (-1)(-1) + (4)(4)) = √(1 + 1 + 16) = √18.

For ||a||, we can use the same formula but with the coefficients of a:

||a|| = √((1)(1) + (-1)(-1) + (4)(4)) = √18.

Lastly, d(p, q) represents the distance between p and q, which can be calculated as d(p, q) = ||p - q||. However, the formula for this distance is not provided, so it cannot be determined. Moving on to the second scenario, we have u = (0, 2, 3) and v = (2, 3, 0). To find (u, v), we use the given inner product formula:

(u, v) = (0)(2) + (2)(3) + (3)(0) = 0 + 6 + 0 = 6.

To find ||u||, we use the formula ||u|| = √((u, u)), substituting the coefficients of u:

||u|| = √((0)(0) + (2)(2) + (3)(3)) = √(0 + 4 + 9) = √13.

Similarly, for ||v||, we use the formula with the coefficients of v:

||v|| = √((2)(2) + (3)(3) + (0)(0)) = √(4 + 9 + 0) = √13.

Unfortunately, the formula for d(u, v) is not provided, so we cannot determine the distance between u and v.

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Answer:

a = 6

Step-by-step explanation:

–6(2 + a) = –48

Divide each side by -6

–6(2 + a) / -6 = –48/-6

2+a = 8

Subtract 2 from each side

2+a-2 = 8-2

a = 6

Answer:

Circle.among all shapes with the same area, a circle has the shortest perimeter

Answer:

a) attached below

b) 2a + b

Step-by-step explanation:

a) show that the expected monetary value of this game is infinite

Given that the probability of getting first head on nth toss = $2^n

attached below is the prove

b) what is the expected utility of this game

using the Logarithm ; \(U(x) = a log_{2} n + b\)

x = number of dollars you have

attached below is a detailed solution to the given problem

Answer:

64.93=4.73x+22.36

Step-by-step explanation:

64.93 is how much he paid

22.36 is his constant

4.73 is for 1 call

a) From the given information , upon calculation , the inventory turnover is 4.8 times.

To calculate the inventory turnover, we need to divide the cost of goods sold (COGS) by the average inventory. The quick ratio given is 1.56, which can help us find the average inventory.

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Rearranging the formula, we can find the inventory:

Inventory = Current Assets - (Quick Ratio * Current Liabilities)

= $950,000 - (1.56 * $450,000)

= $950,000 - $702,000

= $248,000

Now, we can calculate the inventory turnover:

Inventory Turnover = COGS / Average Inventory

Given that COGS is $1,200,000 and the average inventory is $248,000:

Inventory Turnover = $1,200,000 / $248,000

≈ 4.8 times

The inventory turnover is approximately 4.8 times. This means that the company sells and replaces its inventory about 4.8 times during the given period. A higher inventory turnover generally indicates efficient inventory management, as it implies that the company is selling its goods quickly and minimizing the risk of inventory obsolescence or spoilage.

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A racecar driver goes around in circles on a racetrack.

The driver that goes around in circles is a racecar driver on a circular racetrack.

In motorsport events like stock car racing or Formula 1, drivers often compete on oval or circular tracks where they make continuous laps around the circuit.

These tracks are specifically designed to allow drivers to navigate the curves and maintain a circular path throughout the race.

The nature of circular tracks requires drivers to master the art of maintaining speed and control while making consistent and precise turns.

They need to find the optimal racing line, which is the most efficient path around the track, to maximize their speed and minimize the time taken to complete each lap.

The driver's skill and strategy play a crucial role in their success on circular tracks.

In addition to professional racing, drivers in amusement park rides such as go-karts or bumper cars also go around in circles as they maneuver the vehicles on circular tracks.

These attractions provide a fun and thrilling experience for participants as they navigate the circular path, often competing with others to reach the finish line or engage in friendly collisions.

Overall, drivers who go around in circles are typically found in racing events or amusement park attractions that involve circular tracks. Their ability to handle the curves and maintain control is essential for their performance and enjoyment of the activity.

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Answer:

Yes, people that taking part in an experiment are called variables.

There is normally one person called the dependent variable, and the other who is the independent variable.

The statement provided "people taking part in an experiment are called variables" is incorrect.

In an experiment, the individuals or subjects who participate and are observed or manipulated are not referred to as variables. Instead, they are called participants, subjects, or sometimes, respondents, depending on the context of the study.

Variables, on the other hand, are characteristics or properties that can vary or change among the individuals or subjects in the study. Variables can be classified as independent variables, dependent variables, or control variables.

Independent variables are manipulated or controlled by the researcher, while dependent variables are the outcomes or responses that are measured or observed.

Control variables are other factors that are held constant. Therefore, it is important to differentiate between the individuals participating in the experiment and the variables being studied.

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The graph is forming a function but it is not an one-one function.

If the vertical line test is satisfied, then the graph represents a function and a vertical line will cross it at most once.

If a horizontal line crosses the graph in no more than one spot, the function is one-to-one and passes the horizontal line test.

The graph in this case is made up of several horizontal, non-overlapping lines. It is a function and passes the vertical line test, however a horizontal line can cross the graph at any number of locations (is not one-to-one).

However, the graph is not a one-to-one function.

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The simplified expression is 4a^5b^5√(2b).

√(16a^10b^10) * √(2b)
Taking the square root of 16 and a^10b^10, we get:
4a^5b^5 * √(2b)
Therefore, √(32a^10b^11) simplifies to 4a^5b^5 * √(2b).

To simplify the expression √(32a^10b^11), follow these steps:

1. Break down the square root into its components: √(32) * √(a^10) * √(b^11).
2. Simplify the square root of 32: √(32) = √(16 * 2) = 4√2.
3. Simplify the square root of a^10: √(a^10) = a^5, since the square root of a number raised to an even power is the number raised to half that power.
4. Simplify the square root of b^11: √(b^11) = b^5√b, since the square root of a number raised to an odd power is the number raised to half the even part times the square root of the base.

Combine the simplified components:
√(32a^10b^11) = 4√2 * a^5 * b^5√b.

So, the simplified expression is 4a^5b^5√(2b).

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Answer:

what are the following

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

to evaluate (f ○ g)(3) , evaluate g(3) then substitute the value obtained into f(x) , that is

g(3) = 3 - 5 = - 2 , then

f(- 2) = (- 2)² = 4

384,000 bacteria would be present at the end of 7 hours if it doubles itself every hour.

Initial number of bacteria=3000

Number of bacteria at the end = initial number of bacteria * (base)ⁿ

where, n= number of hours

Number of bacteria at the end=3000*2⁷

                                                    =3000*128

                                                     =384,000

Therefore, there will be 384000 bacteria at the end of seven hour if the bacteria doubles itself every hour.

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Answer:

2x + 4

Step-by-step explanation:

I'm guessing there are no exact numbers

home = x + 4

school = x

x + x + 4

2x + 4

To count the number of relations R on set A such that at least one ordered pair in R has element a as its first element, we can consider the total number of relations on A and subtract the number of relations that do not have a as the first element in any ordered pair.

Given:

- Set A has 6 elements.

- Element a is one of the elements in A.

- Element b is also an element in A, and it is distinct from element a.

The total number of relations on set A is given by 2^(n^2), where n is the number of elements in A. In this case, n = 6.

Total number of relations on A = 2^(6^2) = 2^36

Now, let's calculate the number of relations on A that do not have a as the first element in any ordered pair. For any ordered pair in a relation, the first element can be any of the remaining 5 elements in A (excluding a). Similarly, the second element can be any of the 6 elements in A.

Number of relations without a as the first element = 5 * 6^2 = 180

Therefore, the number of relations R on A such that at least one ordered pair in R has a as its first element is:

Number of relations with a as the first element = Total number of relations on A - Number of relations without a as the first element

Number of relations with a as the first element = 2^36 - 180

Please note that the resulting number is an extremely large number.

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20+7x

just use the distributive property on 2(5+3x) then add x and 10

The probability that at most two of their four children will have that trait is 0.9163, rounded to the nearest thousandth.

The probability that at most two of the four children will have a certain trait can be calculated as follows:

First, let's determine the probability that exactly zero children will have the trait:

\(P(exactly 0) = (0.7)^4\)

= 0.2401

Next, let's determine the probability that exactly one child will have the trait:

\(P(exactly 1) = 4(0.3)(0.7)^3\)

= 0.4116

(multiplied by 4 because there are four ways to choose which child has the trait)

Finally, let's determine the probability that exactly two children will have the trait:

P(exactly 2)

=\(6(0.3)^2(0.7)^2\)

= 0.2646

(multiplied by 6 because there are six ways to choose which two children have the trait)

The probability that at most two children will have the trait is the sum of these probabilities:

P(at most 2)

= P(exactly 0) + P(exactly 1) + P(exactly 2)

= 0.2401 + 0.4116 + 0.2646

= 0.9163

Therefore, the probability that at most two of their four children will have that trait is 0.9163, rounded to the nearest thousandth.

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To determine the probability that at most two of their four children will have the specified trait, we need to consider the different possibilities for the number of children with the trait: 0, 1, or 2.

Let's break it down step by step:

Probability of no children having the trait:

The probability that a child does not have the trait is 1 - 0.30 = 0.70. Assuming each child is independent, the probability of all four children not having the trait is calculated as:

P(0 children with trait) = (0.70)^4 = 0.2401

Probability of one child having the trait:

We have four possible cases where only one child has the trait. Each case has a probability of 0.30 for the child having the trait and 0.70 for the remaining three not having the trait. We need to consider all four cases:

P(1 child with trait) = 4 * 0.30 * (0.70)^3 = 0.4116

Probability of two children having the trait:

Similarly, there are six possible cases where two children have the trait. Each case has a probability of 0.30 for each child having the trait and 0.70 for the remaining two not having the trait. We need to consider all six cases:

P(2 children with trait) = 6 * (0.30)^2 * (0.70)^2 = 0.2646

Now, we can calculate the probability that at most two of their four children will have the trait by adding the probabilities from the three cases above:

P(at most 2 children with trait) = P(0 children with trait) + P(1 child with trait) + P(2 children with trait)

= 0.2401 + 0.4116 + 0.2646

= 0.9163

Rounding this answer to the nearest thousandth, the probability that at most two of their four children will have the specified trait is approximately 0.916.

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Hello! I know it's late but i want to help you!

Step-by-step explanation:

Simplify the expression.

Exact Form:

29

12

Decimal Form:

2.41

¯

6

Mixed Number Form:

2

5

12

So, I'll chose A.

Mark me brainest please. Hope I helped! Hope you make an 100%

-Anna

Answer: The answer is 1.7 or 1 7/10.

Step-by-step explanation:

The entered points belong to an increasing, linear function.Equation: y = 1.7x + 75.1.

d = √(Δy2 + Δx2) = √(-342 + -202) = √1556 = 39.44617

The odds against selecting a history are 31/16.

Probability is the concept that describes the likelihood of an event occurring. In many situations, it is necessary to foresee how something will turn out in the actual world. We may be aware of the result of an event or not. When this occurs, we state that there is a possibility that the event will occur.

Probability is the ratio of the most likely outcomes to all other possible outcomes of an event. The number of successful outcomes for an experiment with 'n' outcomes may be expressed using the symbol x. The following formula can be used to determine the likelihood of an event.

Probability(Event) = favorable outcome/Total outcome = x/n

Number of playwrights = 47

Number of histories = 16

Therefore, the odds against selecting a history are

(47 - 16) / 16

= 31/16

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Answer:

A programmable electronic device designed to accept data, perform prescribed mathematical and logical operations at high speed and display results is a Computer.

Answer:

tan(57°) = 12/x

x tan(57°) = 12

x = 12/tan(57°) = 7.793

Answer:

x ≈ 7.8

Step-by-step explanation:

using the tangent ratio in the right triangle

tan57° = \(\frac{opposite}{adjacent}\) = \(\frac{12}{x}\) ( multiply both sides by x )

x × tan57° = 12 ( divide both sides by tan57° )

x = \(\frac{12}{tan57}\) ≈ 7.8 ( to the nearest tenth )

The new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.

Given, that ratio of rice between max, victor and roman

Ratio : A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Let the amount of rice that Max, Victor, and Roman have as 3x, 2x, and 4x, respectively.

The total ratio of the amounts of rice is 3+2+4 = 9,

So each "part" of the ratio is 1/9.

If Victor gives 1/4 of his rice to Roman, he will give away

(1/4) × (2x) = 1/2x rice to Roman, and he will be left with

(3/4) × (2x)

= 6/4x

= 3/2x rice.

Roman will receive 1/2x rice from Victor and will have

4x + 1/2x = 9/2x rice in total.

So the new amounts of rice that Max, Victor, and Roman have are 3x, 3/2x, and 9/2x, respectively.

The new ratio of the amounts of rice is (3x):(3/2x):(9/2x).

To simplify this ratio, we can multiply all parts by 2 to get:

6x:3x:9x

And then divide all parts by 3x to get:

2:1:3

Hence, the new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.

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The new ratio of the amount of rice that Max has to the amount that Victor has after Victor gives away 1/4 of his rice to Roman is 2:1.

Let's assume the amount of rice Max, Victor, and Roman have are 3x, 2x, and 4x units respectively. Now, if Victor gives 1/4 of his rice to Roman, Victor's amount will decrease by 1/4*2x = 0.5x, therefore, Viktor will have 2x - 0.5x = 1.5x units of rice. So, the new ratio of the amount of rice Max to the amount of rice Victor will be 3x:1.5x or, simplifying, 2:1.

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