A video gets 280 views every 7 hours, how long will it take for the video to reach 1000 views.

The values of the quantities Q1, Q2, Q3,... and Qₙ are

25, 25+25(0.07), 25+25(0.07)+25(0.07)² and Qₙ = 25(1-(0.07)ⁿ/(1-0.07)

Given:

Suppose the drug atenolol is taken in 25 mg doses once a day to lower blood pressure.

At the end of a 24 hour period, approximately 7 % of the atenolol is still present.

we are asked to find the expressions for the quantities Q1, Q2, Q3, . . ., and Qn, representing the amounts of atenolol in the body right after taking the 1st, 2nd, 3rd doses respectively.

hence:

Q1 = 25

Q2 = 25+25(0.07)

Q3 = 25+25(0.07)+25(0.07)²

Qₙ = 25(1-(0.07)ⁿ)/(1-0.07)

(b) we are asked to find expressions for the quantities P2, P3, P4, . . ., and Pn representing the amount of atenolol in the body right before taking the 2nd, 3rd, 4th doses respectively.

P2 = 25(0.07)

P3 = 25(0.07)+25(0.07)²

P4 = 25(0.07) + 25(0.07)² + 25(0.07)³

Pₙ = 25(0.07) × [1-(0.07)ⁿ]/[1-0.07]

Hence we get the required expressions.

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Answer:

simplified: 4x−28

Step-by-step explanation:

The product of 4 and the difference of a number and 7 can be written as 4(x-7) where x is the number you are looking for.

A polar graph that is a limacon has a formula similar to \(r=a+bcos\theta\)

Option B is correct.

A  limacon has a formula similar to \(r=a+bcos\theta\)

Case 1 .  If  a < b  or  \(\frac{b}{a}>1\)

Then the curve is limacon with an inner loop.

Case 2.  If  a>b   or   \(\frac{b}{a}<1\)

Then the limacon does not have an inner loop.

Here, given that,  \(r=3+4cos\theta\)

It is observed that,  a < b  or \(\frac{b}{a}>1\)

Therefore, the curve is limacon with an inner loop.

Hence, option B is correct.

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Step-by-step explanation:

This is a geometric series where our common ratio is -1/2, and a is -4

Since r is less than -1, this series converges so

The sun is

\( \frac{ - 4}{1 + 0.5} \)

\( \frac{ - 4}{1.5} = - \frac{8}{3} \)

The sum is -8)3

The altitude of the second beetle above the first beetle when they are 72 cm apart horizontally is 14.4 cm.

In order to find the altitude of the second beetle, let x be the altitude of the second beetle above the first beetle.

The horizontal distance between the two beetles is 72 cm.

The first beetle moves twice as fast as the second beetle, so the vertical distance between them is 2x.

Therefore, the equation for the problem is:

3x + 2x = 72

5x = 72

x = 14.4 cm

Therefore, the altitude of the second beetle above the first beetle when they are 72 cm apart horizontally is 14.4 cm.

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Answer:

2/3 + (-2 1/3) = -1 2/3

Step-by-step explanation:

the arrow is pointing to the left to where the negative integers are so there would have to be something that would be taken away.At the start of the line it is on 2/3 and at the end of the line which is the arrow ends at -1 2/3,so process of limination.Even if you don't know what is being taken away you would examine the number line.

Hope this helps :)

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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When using a sample mean absolute deviation as an estimator of the population mean absolute deviation, it may not accurately represent the true value and should be interpreted with caution.

The mean absolute deviations of these samples:

Sample (7, 7): MAD = 0

Sample (7, 8): MAD = 1

Sample (7, 22): MAD = 15

Sample (8, 7): MAD = 1

Sample (8, 8): MAD = 0

Sample (8, 22): MAD = 14

Sample (22, 7): MAD = 15

Sample (22, 8): MAD = 14

Sample (22, 22): MAD = 0

As we can see, the mean absolute deviations of these samples do not center around the value of the population MAD, which is approximately 6.11. The sample MADs vary widely, ranging from 0 to 15.

This indicates that the sample mean absolute deviation is not a consistent estimator of the population mean absolute deviation. The sample MADs obtained from samples of size 2 with replacement can be highly variable and do not reliably estimate the population MAD.

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The value of the expressions are,

⇒ (q ο r ) (7) = 22

⇒ (r ο q ) (7) = 8

We have to given that,

Functions are defined as,

⇒ q (x) = x² + 6

⇒ r (x) = √x + 9

Now, We can formulate all the values as,

⇒ (q ο r ) (7)

⇒ q (r (7))

⇒ q (√7 + 9)

⇒ q (√16)

⇒ q (4)

⇒ (4² + 6)

⇒ 22

⇒ (r ο q ) (7)

⇒ r (q (7))

⇒ r (7² + 6)

⇒ r (55)

⇒ √55 + 9

⇒ √64

⇒ 8

Thus, The value of the expressions are,

⇒ (q ο r ) (7) = 22

⇒ (r ο q ) (7) = 8

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The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

I think maybe u=6.71 but I'm not sure. wait for another answer

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

Answer:

X= 24º

Explanation:

A straight line is 180º so, 180º - 151º = 29º - 5º = 24º

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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Answer:

graph for y=3sqrt x+6-3

Step-by-step explanation:

hope this helps :]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

Divide both sides by 5.

Step-by-step explanation:

Divide both sides by same non-zero constant.

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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The sketch for slope is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Point               Slopes

(1, 1)                     (a) 3

_                        (b) -3

_                        (c) -5/2

_                         (d) Undefined

a) Now, using slope intercept form

y - 1= 3 (x-1)

y- 1= 3x- 3

y= 3x - 2

(b) Equation of a line has a slope -3 is given by

y - 1= (-3) (x-1)

y-1 = 3- 3x

y = -3x + 4

(c) Equation of a line has a slope -5/2 is given by

y - 1= (-5/2) (x-1)

y-1 = -5/2x + 5/2

y= -5/2x + 7/2

(d) The line parallel to y axis and passes through given point : x=1

"undefined" means the line is vertical.

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Answer: 30.41 pesos

Step-by-step explanation:

$37 = 45 Ruthenian pesos

.: $1 ≅ 1.2161 Ruthenian pesos

Using cross multiplication:

.: $25 ≅ 30.4054 Ruthenian pesos

I'd round the answer to two decimal places, so you can get about 30.41 Ruthenian pesos for 25 US dollars :)

Answer:

False. The product of two negative integers is a positive integer.

Yes, all of the conditions for inference have been met to carry out a t-test for a difference in means.

Three main conditions need to be satisfied: the random condition, the 10% condition, and the Normal/large sample condition.

The random condition is met because the real-estate agent randomly assigned the homes to be staged or empty. This ensures that the sample is representative of the population of comparable homes.

The 10% condition is met because the agent selected 10 comparable homes, and the sample of 5 staged and 5 empty homes represents less than 10% of the population of comparable homes.

The Normal/large sample condition is met because the dot plot of each sample shows no strong skewness and no outliers. Additionally, with a sample size of 5 for each group, the t-test can still be valid even if the population distributions are not exactly normal.

Therefore, all the conditions for inference have been met, allowing the real-estate agent to carry out a t-test for a difference in means and test the hypothesis regarding the selling prices of staged and empty homes.

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The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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Answer:  " x = 7 ".
____

{Note:  If one is interested, the following information provides a "step-by-step" explanation.}:

____

Method 1)

Make a ratio:
"(2x + 10) : 40 :: 3:5 " ;

Write this ratio in the form of a fraction:
→ " \(\frac{(2x+10)}{40}=\frac{3}{5}\) ";
Cross-factor multiply :
Note:  Given:  " \(\frac{a}{b} = \frac{c}{d}\) " ; "\(ad = bc\)" ; ["\(b\neq 0 ; d\neq 0\)"] ;
→As such: " \(5(2x+10) = 3 * 40\) "  ; Solve for "x";
⇒  { 5(2x + 10} / 5 =  (3 * 40)/5 ;  ⇒   2x + 10  = 120/5 ;

to get:  2x + 10  = 24 ;
   →  or:  "{5(2x + 10}/5 = \(\frac{4*30}{5}\) ";

⇒ On the "right-hand side" of the equation:
       The "30" in the numerator cancels to "6" ; and the "5" in the denominator cancels to "1" ; {since:  "30÷5 = 6" ; & since: "6÷6 = 1"} ;

and we can rewrite the equation:
⇒ 2x + 10 = 24 ; → Subtract "10" from each side of the equation:
  → 2x + 10 - 10 = 24 - 10 ;  to get:  " 2x = 14 " ;

⇒Now, divide each side of the equation by "2" ;

to isolate "x" on one side of the equation; & to solve for "x" :
→ 2x/2 = 14/2 ;  to get:  " x = 7 " .
________
Alternately, when we have:  " 2x + 10 = 24 " ; we can simplify this equation by dividing each side of the equation by "2" ;
________
⇒  {2x+10}/2 = {24/2} ;  
to get:  → (2x/2) + (10/2) = (24/2); → to get: "x + 5 = 7" ;

⇒ Then:  Subtract "5" from each side of the equation; to isolate "x" on one side of the equation; & to solve for "x" ;
⇒ x + 5 - 5 = 12 - 5 ;    to get:  " x = 7 " ;
________

Method 2)

Write this ratio in the form of a fraction:
     →    " \(\frac{(2x+10)}{40}=\frac{3}{5}\) " ;  
Cross-factor multiply :
Note:  Given:  " \(\frac{a}{b} = \frac{c}{d}\) " ; "\(ad = bc\)" ; ["\(b\neq 0 ; d\neq 0\)"] ;
As such:   →  " \(5(2x+10) = 3 * 40\) "  ;
⇒ Now; to solve for "x" ;   → "  \(5(2x+10) = 3 * 40\)  " ;

⇒ Note: Re: the "left-hand side" of the equation:
________

 " 5(2x + 10) " ;

Note the "distributive property of multiplication" :
⇒  a(b + c)  =  ab + ac ;
As such:  
→  " \(5(2x+10)\) "  ↔= " (5*2x) + (5*10) = (10x) + (50) = 10x + 50 ;
→ Then, take note of the "right-hand side" of the equation:

⇒  (40*3) = 120 ;
→ Now, we can rewrite the equation as: " 10x + 50 = 120 " ;
⇒To solve for "x": We can subtract "50" from each side of the equation:
 ⇒  10x + 50 - 50 = 120 - 50 ;  →  to get:  "10x = 70 " ;
→  Now, we can divide each side of the equation by "10"; to isolate "x" on one side of the equation; & to solve for "x" ;
________
10x/10 = 70/10 ;  to get:  "x = 7" .
________
Alternately:  " 10x + 50 = 70 " ;  Solve for "x" ;  
→ Divide each side of the equation by "10"; to simplify the equation:
→{10x+50}/10 = 120/10 ; → (10x/10) + (50/10) = 12;
→ to get: → "x+5 = 12"; Then: Subtract "5" from each side of the equation; to isolate "x" on one side of the equation; & to solve for "x ;
→ x + 5 - 5 = 12 - 5 ;  → to get:  " x = 7 " ;
________

Alternately:  We have: "10x + 50 = 120"; Solve for "x";  
→ Factor out a "10" in the "left-hand-side" of the equation:
⇒ 10(a ± b) = 120 ; Now; Solve for "a" and for "b" :
⇒ To solve for a:  →" 10a=10x "; Divide each side of the equation by "10" ; to isolate "a" on one side of the equation; & to solve for "a":
⇒ "10a/10 = 10x/10"; to get: → a = ⁺1x = ⁺x ;  → "a = x";
⇒ To solve for b : " 10b = 50 ";  Divide each side of the equation by "10";
to isolate "b" on one side of the equation;  & to solve for "b" ;
⇒  " 10b/10 = 50/10 "; to get: "b = ⁺5";
→ So; we can rewrite the equation as: "10(x + 5) = 120"; →To solve for "x" ; ⇒ Let us divide each side of the equation by "10" ;

⇒"{10(x+5)}/10 = 120/10"; → to get: "x + 5 = 12" ;
→ Then:  Subtract "5" from each side of the equation;
to isolate "x" on one side of the equation; & to solve for "x";
→ x + 5 - 5 = 12 - 5 ; →  to get:  " x = 7 " ;
____

Alternately:    → "  \(5(2x+10) = 3 * 40\)  " ; Solve for "x" :
→ Divide each side of the equation by "5";
→ {5(2x+10}/ 5 = (3*40)/5 ;  → to get: 2x + 10 = (120)/5;
to get: "2x + 10 = 40" ; and then continue using any of the variant methods described above;  to get: "x = 7" .
____
The answer would be "x = 7 cm" ; but the question asks for only a numerical value; & since both [two of the three] given measurements (in the imaged attached) are in units of "cm" ["centimeters"], we shall assume the units of measurements are all the same (in "cm"); since there is no indication to the contrary.
____
Hope this helps!
____