42 is 7/10 of what number​

Answer:

129.9

Step-by-step explanation:

Deltamath

Answer:

2

Step-by-step explanation:

Hello!

It is asking us to solve when a = 4 and b = 3 so we put those values in for a and b

4/4 + 3/3

When the numerator and denominator are the same that fraction can be shown as 1

1 + 1 = 2

The answer is 2

Hope this helps!

Answer:

Step-by-step explanation:

a = 4 and b = 3

Substitute the values of a and b into the expression

That's

We have the final answer as

Hope this helps you

Answer:

80

Step-by-step explanation:

4/(4+5) × 180 = 4/9 × 180 = 80

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.

Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.

Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.

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Answer:

The initial speed is approximately 104.3 km

Step-by-step explanation:

Let Distance = 240 km

Time = ?

Speed =

Since

Speed = Distance/Time

Distance = Speed × Time

When arrival is late:

240 = S×T

When arrival is on time:

240 = (S+5)×T2

But 40minutes = 2/3 hours

So,

T2 = T - 2/3

240 = (S+5)×(T - 2/3)

240 = ST - 2S/3 + 5T - 10/3

ST - 2S/3 + 5T = 240 + 10/3

S(T - 2/3) + 5T = 730/3

S(T - 2/3) = 730/3 - 5T

S = (730/3 - 5T)/(T - 2/3)

But 240 = ST

S = 240/T

240/T = (730/3 - 5T)/(T - 2/3)

(T - 2/3)/T = (730/3 - 5T)/240

1 - 2/3T = 730/720 - 5T/240

1 + 73/72 = (2/3 + 5/24)T

145/72 = (7/8)T

T = 145/72 × 8/7

= 1160/504

T = 145/63

S = 240/S

= 240×63/145

= 3024/29

≈ 104.3km

i dont know what the answer is but all i can say is to read it closely and try asking your teacher and\or parents to help you understand

Answer:

Angles 1, 3, 5, 7, 9, 11 are going to be 100 degrees

Angles 4, 2, 8, 6, 12, 10 are going to be 80 degrees.

Step-by-step explanation:

We know when there are 2 parallel lines we have vertical angles.

Answer:

$240.87 is how much you made. Hope this helps and I wish you luck.

Answer:

1 to 5

Step-by-step explanation:

During this time she has most likely stoped running and taking a break. Since she is not running any more the rate of change is 0 because he is not making any progress.

Given: An exponential equation

Required: To determine the value of

Explanation: The exponential and logarithmic functions are inverse of each other.

If

Here we have

Hence,

Final Answer: Option A is correct.

Answer:

Value of (t) = 0

Step-by-step explanation:

According to the scenario no time has passed.

t = 0

Given:

f(t)= -16t² + 32t + 5.2

When t = 0

So.

f(t)= -16t² + 32t + 5.2

f(0)= -16(0)² + 32(0) + 5.2

f(0) = 5.2 feet

When we compute the deviation of the second observation in the data set from the mean, and find that the result is a negative number, this tells us that there is good reason to use the median as opposed to the mean as a measure of central tendency.

In computing deviations, it is important to note that extremely skewed deviations can increase the normal distributions and make it difficult to use the standard deviation as a measure of central tendency.

So, when the deviation of the second observation is a negative number, the distribution will be affected and it may become better to use the median as a measure of central tendency.

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Complete Question:

We compute the deviation of the second observation in the data set from the mean, and find that the result is a positive number. This tells us that:

there is a positive overall skewness in the data set.

there is good reason to use the median as opposed to the mean as a measure of central tendency.

the first deviation must also be positive.

the second observation is greater than the sample average.

The minimum number of pieces of candy must be taken to ensure that two of the same pieces of candy are picked is 12.

So obviously, there is the case where with only two draws you can get the same candy twice, but we need to find a number N such that we know for sure that always that we take N candy, we drew at least one pair of equal candy.

There are 11 types of candy in the bag.

Now, suppose the next thing.

First, you draw a candy, now there are 10 types of candy in the bag that are different than the one you got.

Now you draw again, and get a different candy, so now there are 9 types of candy in the bag different to the two you got.

Now you keep doing this and getting a different type of candy until you already have the 11 types of candy in your hands.

Now if you draw a candy again, one pair will be formed (because you have all the types of candy already).

From this, we can conclude that always that you draw 12 pieces of candy, at least one pair will be formed.

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Answer:

The range can be expressed as: \(30.485\leq x\leq 30.515\)

which agrees with answer D

Step-by-step explanation:

If the tolerance is 0.015 cm for the final rod, then the range of acceptable lengths for the rod is between 30.5 - 0.05 and 30.5 + 0.015 . That is between

30.485 cm and 30.515 cm

Which can be expressed as:   \(30.485\leq x\leq 30.515\)

The given statement "In one scene in 8 1/2, Guido steps onto an elevator that takes on the characteristics of a confession booth" is True.

What is 8 1/2?8 1/2 is an Italian drama movie which was released in the year 1963. It was directed by Federico Fellini. The movie is widely recognized as a highly influential classic of world cinema. The story is about a renowned filmmaker named Guido Anselmi. He is in the middle of making a film but is struggling to come up with a plot for it. In one scene of the movie, Guido steps onto an elevator that takes on the characteristics of a confession booth.MAIN ANS:True, In one scene in 8 1/2, Guido steps onto an elevator that takes on the characteristics of a confession booth.The elevator in 8 1/2 takes on the characteristics of a confession booth as a result of its setting and characters. The elevator setting in the film emphasizes that Guido is in a confessional box and is confessing his sins. It was a unique way of depicting Guido's guilt. The way the elevator shook and rattled, making him feel like he was in a confessional box, was symbolic of how he felt. It was as if he was being taken to a higher power who was listening to him.

The scene emphasizes the religious imagery in the movie. It allows us to gain insight into Guido's psyche and the struggles he was having. The religious imagery in the movie suggests that Guido is trying to connect with a higher power to overcome his guilt. The scene also shows the extent to which he is willing to go to gain clarity.

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The right unit multipliers is A, 24 ft²/1 min . 12 in/1 ft . 12 in/1 ft . 1 min/60 sec.

The correct choice is:

24 ft²/1 min . 12 in/1 ft . 12 in/1 ft . 1 min/60 sec.

This correctly uses unit multipliers to convert 24 square feet per minute to square inches per second.

To convert from square feet to square inches, multiply by the conversion factor (12 inches per 1 foot) twice because of dealing with area.

To convert from minutes to seconds, multiply by the conversion factor (1 minute per 60 seconds).

So, when multiplied these conversion factors together with the given value of 24 ft²/1 min:

24 ft²/1 min . 12 in/1 ft . 12 in/1 ft . 1 min/60 sec

= (24 x 12 x 12) in² / (1 x 1 x 1) min x (1 x 1 x 60) sec

= 4,608 in²/sec

Therefore, the answer is 24 ft²/1 min . 12 in/1 ft . 12 in/1 ft . 1 min/60 sec.

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Answer:

x = 2

Step-by-step explanation:

3(x - 1) = 23 - 5(x + 2) ← distribute parenthesis on both sides

3x - 3 = 23 - 5x - 10

3x - 3 = 13 - 5x ( add 5x to both sides )

8x - 3 = 13 ( add 3 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

x=2

Step-by-step explanation:

Bill needs to score at least 83 on his next test to obtain an average of at least 80.

To find out what score Bill needs to obtain on his next test to have an average of at least 80, we can use the concept of averages.

Let's assume Bill's score on the third test is represented by x.

To calculate the average, we add up all the test scores and divide by the number of tests:

(75 + 82 + x) / 3 ≥ 80

Multiplying both sides of the inequality by 3 to remove the fraction:

75 + 82 + x ≥ 240

157 + x ≥ 240

Subtracting 157 from both sides of the inequality:

x ≥ 240 - 157

x ≥ 83

Therefore, Bill needs to score at least 83 on his next test to obtain an average of at least 80.

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The value of function (f+g)(x) is x²-3x+7, (f-g)(x) is 3x²-3x+7, (fg)(x) is -2x⁴+3x³-7x² and (f/g)(x) is -2x²+3x-7/x²

A relation is a function if it has only One y-value for each x-value.

The given two functions are

f(x)=3x-2 and g(x)=4+x

at x=-1

f(-1)=-5, g(-1)=3

at x=2,

f(2)=4, g(2)=6

at x=5,

f(5)=13, g(5)=9

Now the functions are f(x)=2x²-3x+7  and g(x)=-x².

We need to find (f+g)(x)

f(x)+g(x)

2x²-3x+7-x².

x²-3x+7

(f-g)(x)

f(x)-g(x)

2x²-3x+7+x²

3x²-3x+7

(fg)(x)

(2x²-3x+7)(-x²)

-2x⁴+3x³-7x²

f/g(x)=-2x²+3x-7/x²

Hence, the functions (f+g)(x)=x²-3x+7, (f-g)(x)=3x²-3x+7, (fg)(x)=-2x⁴+3x³-7x² and (f/g)(x)=-2x²+3x-7/x²

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Step-by-step explanation:

X^3+3=5

Step by step explanation

Answer:

the second answer should be correct

Step-by-step explanation:

:)

Answer:

second option

Step-by-step explanation:

Answer:

?= 180-(75+39)=66

Step-by-step explanation:

......

Answer:

66

Step-by-step explanation:

A triangle's angles always add up to 180.

So to find the missing angle, subtract the angles we already have by 180.

180-(75+39) = ?

180-114 = 66

I hope this helps!

Answer:

16.80 ft long

Step-by-step explanation:

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

The reason for arriving at the above probability is as follows:

The given parameters are;

The number of teams in the tournament, n = 60

The chance of a team winning a game = 50% = 0.5

The number of ties = No ties

The required parameter:

The probability that no two teams win the same number of games

Method:

Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes

Solution:

The number of matches played, n = \(\dbinom {60} {2}\) = 1,770

The possible outcomes = 2; Winning or losing

The total number of possible outcomes, \(n_p\) = 2¹⁷⁷⁰

The number of games won by each team is between 0 and 59

The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59

Therefore, the number of ways no two teams won the same number of games, the required outcomes, \(n_k\) = 59!

\(Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}\)

The probability that no two teams win the same number of games is given as follows;

\(\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}\)

Therefore;

\(P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}\)

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

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To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

The equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12 is x - 4y = - 8.

Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.

In the question, we are asked for the equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12.

The given line can be shown as:

x - 4y = 12,

or, - 4y = - x + 12,

or, y = x/4 - 12/4,

or, y = x/4 - 3.

Comparing it to the slope-intercept form of a line, y = mx + b, we get the slope, m = 1/4.

The line parallel to this will also have the slope, m = 1/4.

The required line passes through the point (8, -4).

Using the one-point formula, (y - y₁) = m(x - x₁), we can write the required equation as:

y - (-4) = (1/4)(x - 8),

or, y + 4 = x/4 - 2,

or, y = x/4 + 2,

or, x/4 - y = -2,

or, x - 4y = - 8.

Thus, the equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12 is x - 4y = - 8.

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The probability of event A occurring is 1/3, the probability of event B occurring is 5/18, and the probability of event AB occurring is 1/9.

The probability of an event occurring is the number of favorable outcomes divided by the total number of possible outcomes. In this case, we have an unfair die where the even numbered sides are twice as likely as the odd numbered sides. We can use this information to find the probabilities of events A and B.

Event A = {odd numbered side} = {1, 3, 5, 7, 9, 11}

Event B = {4, 5, 6, 7, 8}

(a) To find the probability of event A occurring, we need to find the number of favorable outcomes and the total number of possible outcomes. There are 6 odd numbered sides on the die, so the number of favorable outcomes is 6. However, since the even numbered sides are twice as likely as the odd numbered sides, we need to account for this in the total number of possible outcomes. The total number of possible outcomes is 12 + 6 = 18. Therefore, the probability of event A occurring is 6/18 = 1/3.

(b) To find the probability of event B occurring, we need to find the number of favorable outcomes and the total number of possible outcomes. There are 5 sides in event B, so the number of favorable outcomes is 5. The total number of possible outcomes is the same as in part (a), which is 18. Therefore, the probability of event B occurring is 5/18.

(c) To find the probability of event AB occurring, we need to find the intersection of events A and B. The intersection of events A and B is {5, 7}, so the number of favorable outcomes is 2. The total number of possible outcomes is the same as in parts (a) and (b), which is 18. Therefore, the probability of event AB occurring is 2/18 = 1/9.

So, the probability of event A occurring is 1/3, the probability of event B occurring is 5/18, and the probability of event AB occurring is 1/9.

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X should equal 11. X=11

x = 11

Hope so this answer guide you to understand