How do you find domain and range in a graph.​

Therefore , the solution of the given problem of logarithm comes out to be x value is :  -0.5215.

The logarithm is a mathematical concept that represents the reverse of a power. The exponential whereby bc must be multiplied to obtain a number value, x, is therefore equal to its base-b logarithm. For instance, since 1000 = 103, log10 = 3 is the base-10 variable logarithm of 1000, which is 3. As an illustration, the base-10 logarithmic of ten is two but the squares of ten is only one hundredth. Log 100 = 2. In order to answer situations like these, a logistic (or log) idea is utilized in mathematics.

Here,

Given :

Expression of e is

=> e¹⁻⁴ˣ = 1219

Applying log both side

=> log  e¹⁻⁴ˣ = log1219

=> (1-4x) loge = log1219

=> 1-4x = 3.086

=> 1 -3.086 = 4x

=-> -2.086 = 4x

=> x = -2.086/4

=>  x = -0.5215

Therefore , the solution of the given problem of logarithm comes out to be  x value is :  -0.5215.

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Answer:

a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95  

b. The second and third car seats are appropriate for a 35 lb child.

Step-by-step explanation:

a. Model those ranges with compound inequalities

Let x represent the car seat.

i. A car seat designed for a child weighing up to  and including 25 lb is described by the inequality.

x ≤ 25

ii. A car seat designed for a child weighing between 16 lb  and 35 lb is described by the inequality.

16 < x < 35

iii. A car seat designed for a child weighing between 25 lb  and 95 lb inclusive is described by the inequality.

25 < x ≤ 95

b. Which car seats are appropriate for a  33-lb child?

Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Answer:

12

Step-by-step explanation:

let the number=x

7(x-10)=x+2

7x-70=x+2

7x-x=2+70

6x=72

x=72/6=12

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tanx = \(\frac{sinx}{cosx}\) , sin²x + cos²x = 1, secx = \(\frac{1}{cosx}\)

Consider left side

tanAsinA + cosA

= \(\frac{sinA}{cosA}\) × sinA + cosA

= \(\frac{sin^2A}{cosA}\) + cosA

\(\frac{sin^2A+cos^2A}{cosA}\)

= \(\frac{1}{cosA}\)

= secA = right side , thus proven

Answer:

sorry bro I didn't understand

Answer:

7

Step-by-step explanation:

First use Pyth Theorem to find the length of the whole side.

8^2 + 20^2 = c^2

64 + 400 = c^2

21.54 = c

Round to 22

22 - 15 = 7

To find the expected number of times Joan rolls a 3, we use the formula for mean of a binomial distribution.

The correct option is, option (C) 6.

The probability of rolling a number 3 on any given roll is 1/4

If Joan rolls the die 20 times, the number of times she rolls a 3 will follow a binomial distribution with n = 20 (number of trials) and p = 1/4 (probability of success).

The formula for the probability mass function of a binomial distribution is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (the number of times Joan rolls a 3), k is the number of successes, n is the number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

Using this formula, we can calculate the probability of rolling a 3 exactly k times out of 20 rolls:

P(X=k) = (20 choose k) * (1/4)^k * (3/4)^(20-k)

To find the expected number of times Joan rolls a 3, we can use the formula for the mean of a binomial distribution:

E(X) = n * p

In this case, E(X) = 20 * 1/4 = 5

Therefore, the expected number of times Joan rolls a 3 is 5.

Since the possible answers are integers, the closest answer to 5 is 6. Therefore, the answer is (C) 6.

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Simple Random ford wants to administer a satisfaction survey to its current customers. using their customer​ database, the company randomly selects customers and asks them about their level of satisfaction with the company.

What is an example of a basic random sample?

Is a straightforward random sample representative?

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Answer:

√299=17.2916164658     √675= 25.9807621135

Step-by-step explanation:

Answer:

17.29 and 25.98

if you are rounding to the nearest whole number it would be 17 and 26

hope this helped :)

Step-by-step explanation:

Answer:

The first one, angle 2 + angle 5 = 180

Step-by-step explanation:

Angles 2 and 5 are linear pairs, meaning they make 180 degrees.

m∠2+m∠5=180 is the true statement.

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

In the given figure line l and line m are parallel.

A transversal is passing through these parallel lines.

We know that ∠1 and ∠2 angles on a straight line.

Whose sum is added to 180 degrees.

m∠1+m∠2=180

We know that corresponding angle are equal

m∠1=m∠5

So ∠1 is equal to ∠5.

The angles  ∠5 and  ∠2 added up together to sum of one hundred eighty degrees.

m∠2+m∠5=180

Hence, m∠2+m∠5=180 is the true statement.

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Answer: y=(-5x/2)+5

Step-by-step explanation:

There is no clear cut explanation for this. y cannot directly equal a number. Let me show you.

Subtract 5x from both sides.

5x-5x+2y=10-5x

2y=-5x+10

Then to get to y to being by itself, divide by 2 on both sides

(2y/2)=(-5x+10)/2

y=(-5x+10)/2----> or -5x/2 + 10/2

y=(-5x/2)+5

Answer:

- Take the length and width, and multiply

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.63 hope this helps

The required value of probability can be found as 0.85. The correct option is (D).

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The percentage of people having no, one, two and three or more injuries are given as 22%, 45%, 18% and 15% respectively.

Then, the probability of an event is equivalent to the percent value.

Now, the probability of skateboarders not having 3 or more injuries is given as,

⇒ 1 - P(Three or more injury)

⇒ 1 - 15/100

⇒ 0.85

Hence, the probability can be obtained for not having 3 or more injuries  as 0.85.

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The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Answer:

See below

Step-by-step explanation:

Bonjour! I know some French, so hopefully this helps you:

je parle

tu parles

nous parlons

vous parlez

elles parlent

By the way, make sure you select French as the category of your question next time.

a university student is selecting courses for his next semester. he can choose from humanities courses and science courses. the number of ways in which he can  choose courses if or more must be humanities courses can be found using combinations

C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

To determine the number of ways a university student can choose courses for the next semester with a requirement of at least "r" humanities courses, we can use combinatorial techniques.

Let's assume there are "n" total courses available, "h" of which are humanities courses, and "s" of which are science courses.

The student needs to select "r" or more humanities courses. We can calculate the number of ways to choose "r" or more humanities courses by summing the combinations for "r" to "h" humanities courses.

The formula to calculate the number of ways to choose "k" items from a set of "n" items is given by the combination formula: C(n, k) = n! / (k! * (n - k)!)

Using this formula, the calculation for the number of ways to choose "r" or more humanities courses can be expressed as:

Number of ways = C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

Now, let's substitute the values and calculate the number of ways:

Number of ways = C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

In conclusion, the number of ways the university student can choose courses, with a requirement of at least "r" humanities courses, is obtained by summing the combinations for "r" to "h" humanities courses using the combination formula.

the number of ways in which he can  choose courses if or more must be humanities courses can be found using combinations

C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

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Answer:

not arithmetic

Step-by-step explanation:

An arithmetic sequence has a common difference between consecutive terms.

7 - 2 = 5

13 - 7 = 6

20 - 13 = 7

The difference between consecutive terms is not equal , then

The sequence is not arithmetic

Answer:

D) -7y + 14

Step-by-step explanation:

-7 x y = -7y

-7 × -2=14 ( negative times negative equals positive)

Answer:

i think its 90 cuz they seem perpendicular

The first derivative of f(x) is \(f'(x) = (x^2 - 6x + 7) / (x - 3)^2\), and the second

derivative is\(f''(x) = 4 / (x - 3)^3\).

To find the first derivative of the given function, we will use the quotient rule:

\(f(x) = (x^2 - 3x + 2) / (x - 3)\\f'(x) = [ (x - 3)(2x - 3) - (x^2 - 3x + 2)(1) ] / (x - 3)^2\\f'(x) = [ 2x^2 - 9x + 9 - x^2 + 3x - 2 ] / (x - 3)^2\\f'(x) = [ x^2 - 6x + 7 ] / (x - 3)^2\)

To find the second derivative, we will use the quotient rule again:

\(f''(x) = [ (x - 3)^2(2x - 6) - (x^2 - 6x + 7)(2(x - 3)) ] / (x - 3)^4\\f''(x) = [ 2x^2 - 12x + 18 - 2x^2 + 12x - 14 ] / (x - 3)^3\\f''(x) = [ 4 ] / (x - 3)^3\)

Now let's find the asymptotes. The function has a vertical asymptote at x = 3, since the denominator becomes zero at that point. To find the horizontal asymptote, we will divide the numerator by the denominator using long division:

   x + 1

___________

\(x - 3 | x^2 - 3x + 2\\x^2 - 3x\)

-------

2x + 2

2x - 6

------

8

The quotient is x + 1 with a remainder of 8/(x - 3). As x approaches infinity or negative infinity, the remainder term becomes negligible, and the function approaches the line y = x + 1. Therefore, the horizontal asymptote is y = x + 1.

To find the y-intercept, we set x = 0:

\(f(0) = (0^2 - 3(0) + 2) / (0 - 3) = -2/3\)

So the y-intercept is (0, -2/3).

To find the x-intercept, we set y = 0 and solve for x:

\(0 = (x^2 - 3x + 2) / (x - 3)\\0 = x^2 - 3x + 2\)

Using the quadratic formula, we get:

x = (3 ± sqrt(9 - 8)) / 2

x = (3 ± 1) / 2

x = 2 or x = 1

So the x-intercepts are (2, 0) and (1, 0).

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Answer:

3 batches

Step-by-step explanation:

We have been given that a sports drink recipe calls for 5/3 tablespoons of powered drink mix for every 12 ounces of water.

We need to find out how many batches can be made with 5 tablespoons of drink mix and 36 ounces of water.

So, from the given information we see that to make 1 batch of sports drink we need 5/3 tablespoons of powdered drink mix for every 12 ounces of water.

So, we have 36 ounces of water. But we know that for 1 batch of sports drink we need to 12 ounces. So with 36 ounces of water we can make

= 3 batches

Therefore, we can make 3 batches of sports drink from 5 tablespoons of powdered drink mix and 36 ounces of water.

Kendra needs to have at least $7.35 in her purse and needs to accumulate at least $2.87 more to shop for the special bead.

To discover the total amount Kendra needs to shop for the special bead, we add the amount she already has in her purse to the amount she needs to shop for the bead:

x = $7.35 + $2.87

x = $10.22

Thus, Kendra needs a total of $10.22 to shop for the special bead.

To represent the scenario as inequalities, we can use the subsequent:

Let y be the amount Kendra wishes to buy the unique bead, then:

Kendra has at least $7.35: y + $7.35 ≥ y

Kendra needs at the least $2.87 more: y + $2.87 ≤ x

Combining these inequalities, we get:

y + $7.35 ≥ y

y + $2.87 ≤ x

Therefore, Kendra needs to have at least $7.35 in her purse and needs to accumulate at least $2.87 more to shop for the special bead.

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Answer: A. 0

Step-by-step explanation: To determine the number of solutions for the system of equations x - y = 7 and y = sqrt(3x + 3) - 2, we can substitute y in the first equation with the expression for y in the second equation, giving us x - (sqrt(3x + 3) - 2) = 7. Simplifying this equation, we get sqrt(3x + 3) = -x + 9.

Since the square root of a number is always non-negative, we can conclude that there are no solutions to this system of equations. Therefore, the answer is A. 0.

- Lizzy ˚ʚ♡ɞ˚

There are 1.7 liters of milk left in the first pitcher after Gala pours 1.8 liters of milk into a smaller pitcher.

The answer to the question is given below. A pitcher contains

\($3\frac {1}{2}$\)  liters of milk. Gala pours 1.8 liters into a smaller pitcher.

To find the amount of milk left in the first pitcher, we need to subtract the amount of milk poured into the smaller pitcher from the initial amount of milk in the first pitcher.

The initial amount of milk in the first pitcher is 3.5 liters.

Gala pours 1.8 liters into the smaller pitcher.

To find the amount of milk left in the first pitcher, we subtract 1.8 liters from 3.5 liters:

3.5 liters - 1.8 liters = 1.7 liters.

Therefore, there are 1.7 liters of milk left in the first pitcher.

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Decreasing the period to 1 ms helps ensure bounces will not be noticed (option c).

1. The synchsm samples the state of button A0 every 5 ms. This means that every 5 ms, it checks whether the button is pressed (1) or not pressed (0).

2. The button has a bounce duration of up to 20 ms. When the button is pressed or released, it may exhibit temporary fluctuations in its state due to mechanical factors. This is known as "button bounce."

3. To ensure that bounces are not noticed, the synchsm needs to accurately capture the true state of the button and filter out any temporary fluctuations.

4. Option (a) states that a bounce will never be noticed. However, since the button can bounce for up to 20 ms, this option is not true.

5. Option (b) suggests increasing the period to 30 ms. Increasing the period between samples would provide more time for the button to settle and reduce the chances of capturing a bounce. However, a period of 30 ms is still longer than the maximum bounce duration of 20 ms, so this option does not guarantee that bounces will not be noticed.

6. Option (c) proposes decreasing the period to 1 ms. By reducing the period, the synchsm can sample the button state more frequently, increasing the chances of capturing the true state and minimizing the impact of bounces. This option helps ensure that bounces will not be noticed.

7. Option (d) suggests eliminating the period and running the synchsm as fast as possible. However, without a period, the synchsm would continuously sample the button state, making it susceptible to capturing bounces. Therefore, this option does not help ensure that bounces will not be noticed.

Based on the above analysis, option (c) is the correct answer as decreasing the period to 1 ms helps ensure bounces will not be noticed.

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Answer:

5/4

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(-9 + 14) / (7 - 3)

5/4

Answer:

Rate of Change = -77.9 feet/year

My interpretation: "Is Bad."

Step-by-step explanation:

The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place.  We want a value with a unit of feet/year.

Year    Feet

1999     3893

2005    3425.6  

Change

Year = (2005 - 1999)  or 6 years

Feet = (3425.6 - 3893) or -467.4 feet

Rate of Change = (-467.4 feet)/(6 years)

Rate of Change = -77.9 feet/year

=======================

FYI:  Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.