help a gal out please​

The expression $(4 - 5i) - (-2i - 8) + (-1 + 8i) is simplified to $5i -11

Algebraic expressions are defined as expressions that are  composed of variables, coefficients, factors, constants and terms.

These expressions are likely to consist of some arithmetic operations, such as;

From the information given, we have that;

$(4 - 5i) - (-2i - 8) + (-1 + 8i)

expand the bracket

$4 - 5i + 2i +8 - 1 + 8i

Now, collect like terms

$-5i +2i + 8i +4 +8 - 1

Add or subtract the like terms

$5i -11

Hence, the expression is $5i -11

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When 5/9 of the tank is filled in 2 minutes, then it will take 3.6 minutes to fill the entire tank.

The definition of a fraction is a fraction multiplied by another fraction, integer, or a group of variables. Given that the 5/9 tank fills in 2 minutes. The duration of this period in seconds is 60×5= 120 seconds.

So the time taken to fill a 1/9 tank is calculated as follows,

Time taken = 120/5

=24 seconds

The time taken to fill the 9/9 tank (full) is calculated by multiplying 24 seconds and 9, we get,

24×9 = 216 seconds

= 3.6 minutes.

Therefore, the required answer is 3.6 minutes.

The complete question is -

If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

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Answer:

Slope-intercept form :

y = mx + b, where m = slope and b = intercept

\(5x + 2y = 4 \\ 2y = - 5x + 4 \\ y = \frac{ - 5}{2} x + \frac{4}{2} \\ \boxed{y = \frac{ - 5}{2}x + 2 }\)

Answer:

B

Step-by-step explanation:

The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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The required probability for three numbers rolled on the dice are the sides of a triangle is 31/36.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability.

Here,

When three dice are rolled, there are 63=216 possible outcomes, or triplets (x, y, z).

Once more, in a triangle, any two sides added together are larger than the third side, or (x+y)>z.

As a result, 186 outcomes or triplets are possible and satisfy this property.

Hence, the required probability is 186/216=31/36.

The required probability is 31/36 for three dice rolls to produce triangle sides.

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The bounds of integration in the second integration are different from the first integration. Specifically, the second integration includes the region where Y1−Y2≤3, which was excluded in the first integration. This is why the two integrations evaluate to different values.

The two integrations evaluate to different values because the bounds of integration are different.

When we write P(Y1−3>Y2), we are considering the event that Y1 is greater than Y2+3. This can be represented as the region in the Y1-Y2 plane where Y1−Y2>3, as shown below:

To find the probability of this event, we need to integrate the joint density function of Y1 and Y2 over this region:

P(Y1−3>Y2) = ∫∫_{y1-y2>3} f(y1,y2) dy1 dy2

On the other hand, when we write P(Y1>Y2+3), we are considering the event that Y1 is greater than Y2+3. This can be represented as the region in the Y1-Y2 plane where Y1>Y2+3, as shown below:

To find the probability of this event, we need to integrate the joint density function of Y1 and Y2 over this region:

P(Y1>Y2+3) = ∫∫_{y1>y2+3} f(y1,y2) dy1 dy2

The bounds of integration in the second integration are different from the first integration. Specifically, the second integration includes the region where Y1−Y2≤3, which was excluded in the first integration. This is why the two integrations evaluate to different values.

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Answer:

Below

Step-by-step explanation:

Equivalent interest rate in decimal form will be   ( 1+i)^n - 1    

   where i = periodic interest in decimal = .05/4     n = periods = 4  per year  

(1+ .05/4)^4 -1 = 5.09 % equivalent interest per year

.05 / 4 = .0125    or    1.25%   16 times   ( 4 times per year x 4 years)  

Answer:

x represents the number of tickets per order and y represents the total cost of an order.

Answer:

d calculator

Step-by-step explanation:

my answer is d. calculator because its not part of computer.

Answer:

-5

Step-by-step explanation:

We can see two points that the line intersects:

(0,2) and (1,-3)

‘From that we can find the slope:

\(\frac{y_2-y_1}{x_2-x_1} = \frac{-3-2}{1-0} = \frac{-5}{1} = -5\)

So, A.

:)

Answer:

-5

Step-by-step explanation:

Fast and loose: it's a negative number, since the line is decreasing, and it's decreasing faster than the diagonal of the II-IV quadrant (y=-x) so it's a number less than -1. Slope it's thus -5 or close to it.

More rigorous: start counting the squares. A slope of \(\frac ab\) tells you that every time you move vertically by a squares, you moved horizontally by b squares. Here to advance from 0 to 1 you went down from 2 to -3, ie you subtracted 5. Slope is -5

Answer:

B. 230

Step-by-step explanation:

The formula is 2(wl+hl+hw).

Use this formula for every rectangular prism.

The value of the expression in the simplified form is f(x) = x+3/x-3

Rational expressions are expressions written as a ratio of two integers or expressions.

Given the rational expression below;

f(x) = x²+5x+6/x²-x-6

Factorize the numerator and denominator

f(x) = x²+3x+2x+6/x²-3x+2x-6

f(x) = x(x+3)+2(x+3)/x(x-3)+2(x-3)

f(x) = (x+3)(x+2)/(x+2)(x-3)

f(x) = x+3/x-3

Hence the value of the expression in the simplified form is f(x) = x+3/x-3

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The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

How might an author's point of view be related to his or her purpose?

Step-by-step explanation:

Answer:

You pay $69.12.

Step-by-step explanation:

The probability of 45 heads in 100 tosses of a coin given the probability of heads is 50% is 7.1%.

The binomial probability formula is used to calculate the probability of getting a certain number of heads (or success) in a certain number of coin tosses (or trials) when the probability of getting a head (or success) in each individual coin toss is known. The formula is:

P(x) = (n choose x) * (pˣ) * (1-p)^(n-x)

Where,

P(x) is the probability of getting x heads (or success) in n coin tosses (or trials)

n is the number of coin tosses

x is the number of heads (or success)

p is the probability of getting a head (or success) in a single coin toss

1-p is the probability of getting a tail (or failure) in a single coin toss

(n choose x) is the binomial coefficient, which is the number of ways to choose x heads (or success) from n coin tosses (or trials)

In this case, the probability of getting 45 heads in 100 tosses of a coin with a probability of heads of 50% can be calculated using the formula: (100 choose 45) * (0.5⁴⁵) * (0.5⁵⁵) which is approximately 0.071, or 7.1%.

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(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.

Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.

To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:

Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.

Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.

Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.

Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.

Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.

Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.

Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.

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Answer:

$13.80

Step-by-step explanation:

69 · 20% = 13.8

1³ + 2³ + 3³

1 + 8 + 27

36

hope it helps..!!!

Maximum density is achieved in compaction operations due to particle rearrangement, elimination of air voids, appropriate moisture content, and the nature of the material being compacted. These factors work together to increase the density of the material, resulting in improved stability and strength.

The maximum density in compaction operations occurs due to several factors:

1. Particle rearrangement: During compaction, the particles of the material being compacted are rearranged, leading to a reduction in voids and an increase in density. As the compaction process continues, the particles become more closely packed, resulting in higher density.

2. Elimination of air voids: Compaction helps to remove air voids between particles. When these air voids are eliminated, the material becomes denser. The compaction process applies pressure to the material, forcing out the air and allowing the particles to come closer together.

3. Water content: The water content in the material being compacted affects its density. Optimum moisture content ensures better compaction, as it allows the particles to move and rearrange more easily. If the material is too dry, it may not compact effectively, leading to lower density. On the other hand, if the material is too wet, it can result in poor compaction and reduced density.

4. Type of material: Different materials have different maximum achievable densities. For example, cohesive materials, such as clay, tend to achieve higher densities compared to granular materials like sand. The particle shape, size, and angularity also play a role in determining the maximum achievable density.

In summary, maximum density is achieved in compaction operations due to particle rearrangement, elimination of air voids, appropriate moisture content, and the nature of the material being compacted. These factors work together to increase the density of the material, resulting in improved stability and strength.

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Answer:

9

Step-by-step explanation:

use math and add way after it

u welcome does work for u

Answer:

47

Step-by-step explanation:

mark brainliest when someone answers please

Answer:

47 Hours

Step-by-step explanation:

20,000 - 5,900 = 14,100 ( How much has leaked )

14,100 / 300 = 47 hours

Hopefully this helped!

The approximate probability of having at least 20 left-handers in a school of 200 students, assuming a left-handed rate of 12%, can be calculated using binomial distribution. The probability is approximately 0.9999.

To find the probability, we can use the binomial distribution formula. Let's denote the probability of success (being left-handed) as p = 0.12, and the number of trials (students) as n = 200. We want to calculate the probability of having at least 20 left-handers, which is equivalent to finding the probability of having 20, 21, 22, ..., up to 200 left-handers.

For a large sample size, the binomial distribution can be approximated by a normal distribution with mean np and variance np(1-p). In our case, the mean is (200)(0.12) = 24 and the variance is (200)(0.12)(1-0.12) = 21.12.

Using the normal distribution, we can find the probability of having at least 20 left-handers by calculating the z-score for this event. The z-score is given by (20 - np) / sqrt(np(1-p)). Plugging in the values, we get a z-score of (20 - 24) / sqrt(21.12) ≈ -1.266.

Looking up the z-score in a standard normal distribution table, we find that the probability of having at least 20 left-handers is approximately 0.1038. However, this probability represents having exactly 20 left-handers. To find the probability of having 20 or more left-handers, we can subtract this probability from 1. Thus, the approximate probability is 1 - 0.1038 ≈ 0.8962.

Therefore, the approximate probability of having at least 20 left-handers in a school of 200 students, assuming a left-handed rate of 12%, is approximately 0.8962 or 89.62%.

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Answer:

1/4

Step-by-step explanation:

If you divide 3/4 by 3, you get 1/4 (0.75 / 3 = 0.25)

The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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Answer:100

Step-by-step explanation:

The question confuses you since there is no extra variable to help you which is you have to create it yourself.

Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:

\(y=-x-30+180\) which then becomes \(y = -x+150\).

Also since the inside sum of angles in a traingle is equal to 180°, this can be written as

\(180 = (x-40) +(x-30)+y\)

if we replace y with the equation we get

\(180=(x-40)+(x-30) + (-x+150)\)

which can be simplified to

\(180=x+80\) because 2x-x = x and -70+150 = 80

If we rearrange to solve for x, we get:

\(x = 180-80\) ⇒ \(x=100\)

We can verify this by putting the value of x in both equation:

\(y = -100+150 = 50\) angle at k

\(100-40=60\) angle at j

\(100-30=70\) angle at l

\(50+60+70=180\) this match the rules of the sum of interior angle always equal 180°

Problem

The difference of a number and 72 is 12. Find the number.​

Solution

Let x the number of intertest and we can write this:

x-72=12

And solving for x we got:

x= 72+12= 84

Answer:

x = 74 degrees

Hope that helps

Answer:

74

Step-by-step explanation:

2x+32=180

2x=148

x=74