Plz help i have a another question

A man is picked up with a bac of 0. 18. He drank 12 standard drinks over a period of 4hours. So to determine the appropriate formula for calculating blood alcohol concentration (BAC), the values "n" (number of standard drinks) and "h" (time period in hours) need to be substituted.

The appropriate formula for calculating BAC is BAC = (n * 0.6) / h, where "n" represents the number of standard drinks consumed and "h" represents the time period in hours. In this case, the man drank 12 standard drinks over a period of 4 hours. Substituting these values into the formula, we have BAC = (12 * 0.6) / 4 = 1.8 / 4 = 0.45. Therefore, the man's BAC is 0.45.

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The evaluation of the expression given in surd form is 6.

Surds are expressions that use a root symbol, such as a square root, or another root symbol. Since the decimals of irrational numbers do not finish or recur, they cannot be expressed accurately in decimal form, hence surds are used instead.

Surds, in mathematics, are square root values that cannot be factored into a whole number or an integer. Numbers that are surds are irrational numbers.

From the given expression, the cube root of 216 can be computed as:

\(\sqrt[3]{216}\)

Factor the number 216 as:

= \(\sqrt[3]{6^3}\)

= 6

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Answer:

48

Step-by-step explanation:

If the area of each square is 16, then each side length has side length of 4 because the area of a square is:

\(s^2=A\)

\(s^2=16\\s=4\)

Each of the outer edges has 4+4+4 and there are four of them so:

\((4+4+4)*4=48\)

Answer: Coordinate (1,6)

Step-by-step explanation: Because it is located on one of the corners already if you count the spaces! I hope this helped!! :D

Answer:

the person above me is right its (1,6) its the only one thats located on a corner

Step-by-step explanation:

Answer:

The answer is 1.

Answer:

The Answer would be A. 12

Step-by-step explanation:

given

Answer:

QT. . . . . . . . . . . . . . . I think

Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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The required value of partial derivative of the given function is,

fy(3,1/6) ≈ 1.607.

To find fy,

We have to take the partial derivative of f with respect to y while holding x constant.

Using the chain rule, we have,

⇒ f(x, y) = y sin⁻¹(xy)

⇒ ∂f/∂y = sin⁻¹(xy) + y d/dy[sin⁻¹(xy)]

             = sin⁻¹(xy) + y / √(1 - (xy)²)  x

So, to find fy(3,1/6),

Substitute x = 3 and y = 1/6,

⇒ fy(3,1/6) = sin⁻¹(3/6) + (1/6) / √(1 - (3/6)²) x 3

                 = sin⁻¹(1/2) + 1/2

                 ≈ 1.107 + 0.5

                 ≈ 1.607

Therefore,

fy(3,1/6) ≈ 1.607 is the required value.

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There are three a's, we can write a³ instead of a×a×a. This gives us d×b×c×a³

To simplify the expression d×b×c×a×a×a, we can rewrite it using exponents. Since there are three a's, we can write a³ instead of a×a×a. This gives us:

d×b×c×a³

This is the simplified expression using single variables raised to exponents. We can read this as "d times b times c times a to the power of 3".

It's important to note that when we have multiple variables multiplied together, we can simplify the expression by combining them using exponents. This makes it easier to work with and to manipulate algebraic equations.

In this case, we were able to simplify the expression by replacing three instances of a with a³. We could continue to simplify further if we had additional like terms, but in this case, this is the simplest form of the expression.

Overall, simplifying expressions using exponents is a common technique in algebra and can help make solving equations more manageable.

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Answer:

I would say Jessica

Step-by-step explanation:

Because Mia's grade dropped by 4% and Jessica's grade increased by 5%

1% difference in the grades

Answer:

b = -144

Step-by-step explanation:

b/24 = -6

Multiple 24 on both sides since it's being divided.

b = -144

Answer:

\( \sf \: b = - 144\)

Step-by-step explanation:

Now we have to,

→ find the required value of b.

The equation is,

→ b/24 = -6

Then the value of b will be,

→ b/24 = -6

→ b = (-6) × 24

→ [ b = -144 ]

Hence, the value of b is -144.

A total of 23, 950, 080 results are possible.

We are given;

10 women

12 men

5 men and 5 women, chosen and pared off, how many results in total?

Thus;

[10 choose 5] x [12 choose 5]=252 x 792 = 199584 ways

We then need to know how many ways there could put into pairs i.e. For the first woman, there will be 5 choices of men. For the second woman, there will be 4 choices remaining of men. For the third woman, there will be 3 choices remaining. For the fourth woman, there will be only 2choices remaining, and only 1 choice left for the last woman.

Therefore, there are 5x4x3x2x1 = 120 ways.

 In total there are 199584x120 = 23950080 total  ways

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an isosceles triangle is a triangle with two twin sides, and therefore two twin angles.

if one angle is 98°, well, we can't have another 98° angle because that makes 98+98 = 196°, and the sum of all interior angles in a triangle cannot be more than 180°.

so the other remaining angles must be the twin smaller angles, namely 180 - 98 = 82, and each twin takes half of that, namely 41°.

Answer:

The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.

Step-by-step explanation:

x = rate of mechanic who worked 5 hours

y = rate of mechanic who worked 15 hours

Then

x + y = 235

5x + 15y = 2375

Just solve these 2 equations above for x and y.

x + y = 235 ⇒ x = 235 - y

Substitute into second equation to find y.

5(235 - y) + 15y = 2375

1175 - 5y + 15y = 2375

10y = 1200

y = 1200/10 = 120

x = 235 - y = 235 - 120 = 115

Answer:

6x²+7x-3

Step-by-step explanation:

(2x+3)(3x-1)

(2x)(3x)+(2x)(-1)+(3)(3x)+(3)(-1)

6x²-2x+9x-3

6x²+7x-3

Basically, what we are doing is taking 2x and distributing it to the 3x and -1. Then, we distribute the 3 to the 3x and -1. Add up these two totals and you have your expanded binomial.

FOIL means First, Outer, Inner, Last, so this makes sense.

Answer:

hypotenuse is 34

Step-by-step explanation:

a²+b²=c²

16²+30²=c²

256+900=1156

√1156 =34

hypotenuse =34

The given recurrence relation is an+2 + an+1 - 20an = 0, with initial values ao = 4 and a1 = -11. To solve the given recurrence relation, we'll first write down a few terms to observe a pattern.

Using the initial values, we have a0 = 4 and a1 = -11. Now, let's calculate a2 using the recurrence relation: a2 + a1 - 20a0 = a2 - 11 - 80 = a2 - 91 = 0, which implies a2 = 91. Continuing in the same manner, we can find a3, a4, and so on.

By solving the characteristic equation, we can find the general solution for the recurrence relation. In this case, the characteristic equation is \(r^2 + r - 20 = 0\). Factoring the equation, we have (r + 5)(r - 4) = 0, giving us the roots r1 = -5 and r2 = 4. Thus, the general solution for the recurrence relation is of the form \(an = A(-5)^n + B(4)^n\), where A and B are constants determined by the initial values.

Using the initial values ao = 4 and a1 = -11, we can substitute these values into the general solution and solve for A and B. This will give us the specific solution to the recurrence relation.

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Answer:

y = \(\sqrt{x+5}\) + 7

Step-by-step explanation:

Given the graph of f(x) then f(x + k) is a horizontal translation of f(x)

• If k > 0 then a shift to the left of k units

• If k < 0 then a shift to the right of k units

Thus a translation of 5 units to the left

y = \(\sqrt{x+5}\)

Given the graph of f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Thus

y = \(\sqrt{x+5}\) + 7 ← translated equation

The required, rate of change of function B is greater than the rate of change of Function A.

Rate of change is defined as the change in value with rest to another entity is called rate of change.

Here,
For function 1 rate of change is given by the slope of the function,

m = (y₂ - y₁) / (x₂ - x₁)
m = 2 - 1 / 4 - 0
m = 1/4

m = 0.25

For function B, y = 0.75x - 2 rate of change has defined the slope of the function from the equation slope is m = 0.75.

So Slope of function B > Slope of function A

Thus, the rate of change of function B is greater than the rate of change of Function A.

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Answer:

x= -6

Step-by-step explanation:

3x+4= 2 (x - 1)

3x+4= 2x -2

Subtract 4 from both sides of the equation

Simplify

Subtract 2x from both sides of the equation

Simplify

= -6

Answer:

x = -6

Step-by-step explanation:

I've attached a pic, hopefully it is clear and understandable:)

(1) All university freshmen are the professor's main population of focus.

(2) The group of college freshman who replied to the professor's survey is the sampled population.

(3) The two populations do differ significantly from one another.

(4) By completing the survey after numerous lectures on the American Revolution had been presented in HIST 101, the lecturer has introduced a potential source of bias.

The sampled population solely consists of the 150 students who completed the survey; however, the population of interest includes all university freshman. The population that was sampled represents a portion of the population that is of interest, and it might not accurately reflect the total population.

The information about which nation controlled the original 13 colonies before to the American Revolution may have caused prejudice in the pupils' understanding or awareness of the subject.

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The required values of x and y that allows these two triangles to be similar are x=(32±√239)/5, y=(19±2√239)/5.

Let the first triangle be called ABC where A(-1, 4), B(-3, 5) and C(-6, 1).

Let the second triangle be called LMN where L(-2, 8), M(-6, 10) and N(x, y)

Now if the 2 triangles are similar then the ratio of the lengths of corresponding sides will also be equal.

AB: BC= \(\sqrt{(-1+3)^{2}+(4-5)^{2} }\):\(\sqrt{(-1+6)^{2}+(5-1)^{2} }\) = √5:√41

AC: BC= \(\sqrt{(-1+6)^{2}+(4-1)^{2} }\): \(\sqrt{(-1+6)^{2}+(5-1)^{2} }\)=√34:√41

Now,

LM: MN= \(\sqrt{(-2+6)^{2}+(8-10)^{2} }\):\(\sqrt{(x+6)^{2}+(y-10)^{2} }\)

=2√5:\(\sqrt{(x+6)^{2}+(y-10)^{2} }\)

Comparing LM: MN to AB: BC we get \(\sqrt{(x+6)^{2}+(y-10)^{2} }\)=2√41

∴ \((x+6)^{2}+(y-10)^{2}\) = 164...... (1)

Again, LN: MN= \(\sqrt{(x+2)^{2}+(y-8)^{2} }\) : \(\sqrt{(x+6)^{2}+(y-10)^{2} }\)= AC: BC= √34:√41

Applying (1) to this rati we get: \(\sqrt{(x+2)^{2}+(y-8)^{2} }\)=2√34....(2)

Solving (1) and (2) we get: 8x-4y=32-68=-36

∴ 2x-y=9

Substituting y=2x-9 in (1) we get: \((x+6)^{2}+(2x-9)^{2}\)=164

Solving we get x=(32±√239)/5, y=(19±2√239)/5

Hence we get the required answers.

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The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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Answer:

I don't really understand your question

Step-by-step explanation:

but if I were to guess 0.75 or 1.25

The simplified exponential expression for this problem is given as follows:

(3² x 5)³ = 3^6 x 5³.

The exponential expression for this problem is defined as follows:

(3² x 5)³.

As we have a product applied to the exponent, the exponent can be applied to each factor of the exponent, as follows:

(3²)³ x 5³.

Applying the power of power rule, we have that:

(3²)³ = 3^(2 x 3) = 3^6.

Hence the simplified exponential expression for this problem is given as follows:

(3² x 5)³ = 3^6 x 5³.

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Answer:

3:7 = 42.86% (hope this helps) ;)

Step-by-step explanation:

Ratios are often expressed in the form m:n or m/n. To convert a ratio into the form of a percentage, simply divide m by n and then multiply the result by 100.

Follow the following steps for converting a ratio to a percentage:

Step 1: (Rewrite as fraction)

3:7 = 37 = 0.4286

Step 2: (Multiply the fraction by 100)

0.4286 x 100% = 42.86%

Have a great day ;D

The binomial distribution applies to experiments where there are a fixed number of independent trials, each with only two possible outcomes, and a constant probability of success. The experiments that fit this description are: throwing a coin 50 times, drawing 5 marbles with replacement from a box containing 5 red and 2 yellow marbles, and drawing a sample of 20 bolts from a bin containing 5,000 bolts with a known 2% of them being faulty. So, the correct answer is A, B, C and E.

The binomial distribution applies to the following probability experiments

A coin is thrown 50 times, and the variable is the number of tails. This experiment satisfies the requirements for a binomial distribution because each trial has only two possible outcomes, the trials are independent, the probability of tails is constant, and there is a fixed number of trials. This satisfies the condition.

Fifty coins are each thrown once, and the variable is the number of tails. This experiment also satisfies the requirements for a binomial distribution because each trial has only two possible outcomes, the trials are independent, the probability of tails is constant, and there is a fixed number of trials. This satisfies the condition.

A box contains 5 red and 2 yellow marbles, and you draw out 5 marbles, replacing the marble each time. The variable is the number of yellow marbles drawn. This experiment does not satisfy the requirements for a binomial distribution because the trials are not independent since the marble is replaced each time. The probability of drawing a yellow marble changes from trial to trial, so the probability of success is not constant.  This satisfies the condition.

A box contains 5 red and 2 yellow marbles, and you draw out 5 marbles without replacement. The variable is the number of yellow marbles drawn. This experiment does not satisfy the requirements for a binomial distribution because the trials are not independent since the marbles are not replaced.

The probability of drawing a yellow marble changes from trial to trial, so the probability of success is not constant. This does not satisfies the condition.

A large bin contains 5,000 bolts, 2% of them are faulty, and you draw a sample of 20 bolts from the bin. The variable is the number of faulty bolts.

This experiment satisfies the requirements for a binomial distribution because each trial has only two possible outcomes, the trials are independent, the probability of drawing a faulty bolt is constant, and there is a fixed number of trials. This satisfies the condition.

So, the correct options that satisfies the condition of binomial distribution is A, B, C and E.

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