Answer:
It will take 8.17 days for a news story to reach 1,500,000 shares.
Step-by-step explanation:
Note: The correct exponential model is as follows:
y = 5⋅7^x ......................................... (1)
Where:
y = 1,500,000
x = ?
Substituting y = 1,500,000 into equation (1), we have:
1,500,000 = 5⋅7^x ........................ (2)
Taking the natural log of both sides of equation (2) and solve for x, we have:
ln1,500,000 = xln5.7
x = ln1,500,000 / ln5.7
x = 14.2209756660724 / 1.7404661748405
x = 8.17241379310345
Approximating to 2 decimall places, we have:
x = 8.17
Therefore, it will take 8.17 days for a news story to reach 1,500,000 shares.
Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000 x for x television spots.
Required:
Write down the cost function C, marginal cost function C’, and average cost function
This question is incomplete, the complete question is;
Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.
Required:
Write down the cost function C, marginal cost function C’, and average cost function
Answer:
- The the cost function is 500,000 + 1,900,000x - 160,000√x
- the marginal cost function is 1,900,000 - (80000 /√x )
- The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
Step-by-step explanation:
Given the data in the question;
cost per spot = $1.9 million
Additional cost = $500,000
discount = $160,000√x
Let C(x) represent the cost ;
Cost x television spot = cost per spot × Number pf spots
Cost x television spot = $1.9 million × x
Cost x television spot = $1,900,000x
Now, the television set total cost will be;
C(x) = television cost + additional cost - discount
C(x) = 500,000 + 1,900,000x - 160,000√x
Therefore, The the cost function is 500,000 + 1,900,000x - 160,000√x
Marginal Cost Function;
Cost function C(x) = 500,000 + 1,900,000x - 160,000√x
we differentiate with respect to x
C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )
= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )
= 0+ 1,900,000(1) -160,000( 1 / 2√x )
= 1,900,000 - (160,000 / 2√x )
= 1,900,000 - (80000 /√x )
Therefore, the marginal cost function is 1,900,000 - (80000 /√x )
Average cost function;
Average cost function = C(x) / x
we substitute
Average cost function = [500,000 + 1,900,000x - 160,000√x] / x
= [500,000 / x ] + [1,900,000x / x ] - [ 160,000√x / x ]
= [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]
= 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
leonard is flying kite he is holding the end of the string at distance of 1.2 m above the ground. if the string is 15 m how long and makes an angle of 40 degrees with the horizontal, how high is the kite above the ground?
Answer:
The kite is 10.8 m above the ground.
Step-by-step explanation:
Here we can make a triangle rectangle like the one shown in the graph below, where we want to find the value of the cathetus X, and that plus 1.2m will be the distance between the kite and the ground.
Notice that X is the opposite cathetus to the 40° angle, then:
We can use the relation:
Sin(θ) = (opposite cathetus)/(hypotenuse)
where, in our case, we have:
θ = 40°
hypotenuse = 15m
opposite cathetus = X
Replacing these in the equation, we get:
Sin(40°) = X/15m
Now we can solve this for X.
Sin(40°)*15m = X = 9.6m
And the actual height of the kite is X + 1.2m
Then:
H = 9.6m + 1.2m = 10.8m
The kite is 10.8 m above the ground.
Which expressions are equivalent to (59 + 3h + 4) - 2?
I think this is the answer
=(3h+61)
What is the distance between the points (10, 2) and (14,5)?
Answer:
5
Step-by-step explanation:
We will solve using the Pythagorean theorem.
The difference in the x value is 4. The difference in the y value is 3. A nice, easy to remember, right angle triangle has sides of three, four, and a hypotenuse of five.
But we were lucky here that we could do this in our heads and from memory: 3² + 4² = 5²
The general formula would be:
distance² = (∆x)² + (∆y)²
distance = √[ (14-10)² + (5-2)² ]
= √[ 4² + 3² ]
= √[ 16 + 9 ]
= √[ 25 ]
= 5
Multiply: –c2(3c – 2)
Answer:
answer in picture
Step-by-step explanation:
Question 4 (1 point) (06.02 LC) Which of these is the algebraic expression for 3 times the sum of 2 and Y
Answer:
3(2+y) is the correct answer
Answer: 3 (2 + y)
Hope this helps!
Which ratio is equivalent to 7 : 3?
49:9
12:8
21:7
28:12
Please answer quickly!
Answer:
28:12
Step-by-step explanation:
28 divided by 4 is 7
12 divided by 4 is 3
assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?
9514 1404 393
Answer:
8.6
Step-by-step explanation:
The growth factor per year is 1.012, so in 500 years is ...
1.012^500
The number of doublings is the solution to ...
2^n = 1.012^500
Taking logarithms, we have ...
n·log(2) = 500·log(1.012)
n = 500·log(1.012)/log(2) ≈ 8.6046
About 8.6 doublings will take place in 500 years.
PLEASE HELP I WILL MARK BEAINLIST
Answer:
Is it 1,512?
Step-by-step explanation:
2. Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed with a mean of 78 and a standard deviation of 6. A. What are the mean, standard deviation, and shape of the distribution of x-bar for n
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that [tex]\mu = 78, \sigma = 6[/tex]
Samples of n:
This means that the standard deviation is:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}[/tex]
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Solve the given system of equations 4x+5y=10 -x-8=3y
Answer:
[tex]4x + 5y = 10 - - - (a) \\ - x - 8 = 3y \\ - x - 3y = 8 \\ x + 3y = - 8 - - - (b) \\ 4 \times (b) - (a) : \\ = > 0x + 7y = - 42 \\ y = - 6 \\ x - 21 = - 8 \\ x = 13 \\ { \boxed{x = 13}} \\ { \boxed{y = - 6}}[/tex]
Answer:(10,-6)
Step-by-step explanation:
https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%20%5C%20+%20%5C%205y%20&=&%2010%20%5C%5C%20-4x%20%5C%20-%20%5C%2012y%20&=&%2032%5C%5C%20%5Chline%200%20%5C%20-%20%5C%207y%20&=&%2042%5C%5C%20y%20&=&%20-6%20%5Cend%7Barray%7D
https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%5C%20+%20%5C%205y%20&=&10%20%5C%5C%204x%5C%20+%20%5C%205(-6)%20&=&10%20%5C%5C%204x%5C%20-%20%5C%2030%20&=&10%20%5C%5C%204x%20&=&%2040%20%5C%5C%20x%20&=&%2010%20%5Cend%7Barray%7D
Referring to the picture below, which of these statements are true? Change in elevation from point A to B. The distance traveled from A to B along the straight line path is a state function. The distance traveled on the curved path from A to B is a state function. The change in elevation from point A to B (Δ) is a state function.
Answer:
Following are the responses to the given points:
Step-by-step explanation:
The State function is indeed a characteristic that does not depend upon on path to that specific significance.
In contrast, two route functions are called call path operations.
Throughout this case, only the state system includes them. Lift changes are dependent on a particular difference between two balancing states (pressure, temperature).
The women athletes in the BIG10 Schools have a long-term graduation rate of 73%. Over the past several years, a random sample of 23 women showed that 19 graduated. Does this indicate that the population proportion of women athletes who graduate from the BIG10 is now more than 73%
Answer:
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
Step-by-step explanation:
Here,
The null hypothesis is p = 0.73
Alternate hypothesis is p> 0.73
The level of significance = 0.10 or 10%
Sample size = 23
Sample proportion = 19/23 = 0.826
Z test statistics
= (p’-p)/Sqrt ((p(1-p)/n))
Substituting the given values, we get –
Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037
Thus, the P values for Z>1.037
= 1- P(Z less than or equal to 1.037)
= 1- 0.8501
= 0.150
P-value is greater than the level of significance
We will accept the null hypothesis
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
pls help with this thxxu :))
The figure below shows a construction of a triangle,based on the steps and lengths shown,which type of triangle is it?
A- Equilateral
B- Isosceles
C- Scalene
D- Obtuse
Answer:
Scalene triangle (Option C)
Step-by-step explanation:
In a scalene triangle , all its sides have different lengths.
According to the figure given in question , lengths of all sides differ from each other. So , the triangle in the figure is a scalene triangle.
Which is equivalent to sqrt x^10
A. X-5
B. X -1/5
C. X sqrt 10
D. X 1/5
E. X^5
[tex]\sqrt{x^{10}} = x^5[/tex]
=====================================================
Explanation:
We simply take half of the exponent 10 to get 5. This applies to square roots only.
So the rule is [tex]\sqrt{a^b} = a^{b/2}[/tex]
A more general rule is
[tex]\sqrt[n]{a^b} = a^{b/n}[/tex]
If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.
Answer:
E
[tex] \sqrt{ {x}^{10} } \\ = \sqrt{ ({x}^{5} ) {}^{2} } \\ = {x}^{5} [/tex]
What is 150 millimetres in meters ?
Answer: 0.15meters
that the answer
can someone help me
55 x 7 = 385
dadadsdsadssdgregeg
choose the correct set up to solve for x
Answer:
I think c
but I am not sure
Compare using >, <, or =.
11 yards
51 feet
Answer:
11 yards is 33 feet
11 yards < 51 feet
Please explain it ASAP
Answer:
sorry but i don't understand the question
A surveyor asks people whether or not they support their senator's vote on a bill. Choose the type of data that is collected. Group of answer choices quantitative qualitative neither quantitative nor qualitative Not enough information is given
Answer:
Quantitative data
Step-by-step explanation:
The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."
Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.
Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.
What are the algebraic properties of the logarithm function?
Answer:
344343234
Step-by-step explanation:
Grade 9 math plzz helpp a or b or c or d
Answer:
[tex]g(x) = 3^{x -4}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3^x[/tex]
g(x) = f(x) 4 units left
Required
Find g(x)
When a point is translated 4 units left, the rule is:
[tex]x \to x - 4[/tex]
So, we have:
[tex]g(x) = f(x-4)[/tex]
[tex]f(x-4)[/tex] is calculated as:
[tex]f(x-4) = 3^{x -4}[/tex]
Hence:
[tex]g(x) = 3^{x -4}[/tex]
The table shows the test scores and the sleep averages of several students. A) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.
Answer:
Approximately 92
Step-by-step explanation:
Using technology, the linear regression model obtained by fitting the data points is:
Y = 0.0914X1 - 0.3741
Where x = test score ; y = average sleep
Slope = 0.0914 ; intercept = - 0.3741
The test score of a student that sleeps 8 hours
y = 8
8 = 0.0914X1 - 0.3741
8 + 0.3741 = 0.0914X1
X = 8.3741 / 0.0914
X = 91.62
Explain why sin(A)=sin(D)
I NEED HELP ASAP
becouse The size does not differ whether it is big or small, the degree remains the same
PLS HELP
What is the area of the triangle?
Answer:
B
Step-by-step explanation:
(base x height)/2 = (2.9 x 8.1)/2 = 11.7 cm^2
Answer:
B
Step-by-step explanation:
PLEASE HELP I will give Brainly to whoever answers !!!
Answer:
c
Step-by-step explanation:
find the product of 5/8 by the reciprocalof -3/8
Answer:
-5/3
Step-By-Step-Solution:
Reciprocal of-3/8 = -8/3
Product = 5/8 × -8/3 = -5/3
Hope that this helps!
what is (6)^-3×(6)^-3 using law of exponent?
Answer:
6^-6
Step-by-step explanation:
a^m*a^n = a^m+n
Cube roots of 1 are +1 and -1 (true and false)
False cube root of 1 is plus 1 only.