Answer:
a) 7265b) 103.913Step-by-step explanation:
Given the number of liver transplants performed in a particular country in year x approximated by f (x) = -239.7+ 2390lnx where x≥5. If x = 5 corresponds to year 1995. x will be equivalent to 23 in the year 2013.
a) Number of transplant in 2013 can be gotten by substituting x = 18 into the equation above.
f (x) = -239.7+ 2390lnx
f (23) = -239.7+ 2390ln 23
f (23) = -239.7+ 2390(3.14)
f(23) = 7264.9
The number of liver transplant in 2013 is approximately 7265
b) If f (x) = -239.7+ 2390lnx
f'(x) = 2390 * 1/x
f'(23) = 2390/23
f'(23) = 103.913
each pair of figures is similar find the missing side
Answer:
17) 53.2
18) 17
Step-by-step explanation:
In similar triangles theorem, the ratio of the corresponding sides of two triangles are equal.
17) To determine x, ratio of the sides of 1st triangle/Ratio of the sides of 2nd triangle.
Ratio of base to the missing side:
7.6/x = 13.6/95.2
7.6/x = 13.6/95.2
7.6/x = 0.1428
7.6= 0.1429x
x = 53.2
18) ratio of shortest side/ longest side
3.4/7.9 = x/39.5
x = 3.4/7.9 × 39.5
x = 17
i will give 50 points and brainliest
Answer:
240 m^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
The base is 16 and the height is 30
A =1/2 ( 16*30)
240 m^2
lg(3x-2) +lg(x+1) =2 –lg2
Answer:
x = 4 or x = -13/4 = -4.33
Step-by-step explanation:
log (3x - 2) + log (x + 1) = 2 - log 2
Note 2 is also equals to log 100
log (3x - 2) + log (x + 1) = log 100 - log 2
log (3x - 2)(x + 1) = log (100/2)
log 3x² + 3x - 2x - 2 = log 50
log 3x² + x - 2 = log 50
3x² + x - 2 = 50
3x² + x - 2 - 50 = 0
3x² + x - 52 = 0
find the number to multiply that will give you -52 × 3 = -156 and add to give you 1. The numbers are -12 and 13.
3x² - 12x + 13x - 52 = 0
3x(x - 4) + 13( x - 4) = 0
(3x + 13)(x - 4) = 0
x = 4 or x = -13/4 = -4.33
If you insert 4 in the logarithm equation you will see that the left side is equal to the right
log (3x - 2) + log (x + 1) = log 100 - log 2
log 10 + log 5 = log 50
log 50 = log 50
Mauro has 140 feet of rope he will cut it into two peices so that the length of the longer peice is 3 times the length of the shorter peice
Please Show Work So I Can Grasp The Concept Of This Equation
Answer:
20
Step-by-step explanation:
do 9/12 = 15/?
you do 12 times 15 divided by 9
hope this helps
Scotland Beauty Products manufactures face cream, body lotion, and liquid soap in a joint manufacturing process. At the split-off point, the company has 300 pounds of face cream, 200 pounds of body lotion, and 300 pounds of liquid soap and has incurred $200,000 in joint costs. Using the physical units method, allocate the joint costs to: a. Face Cream $ b. Body Lotion $ c. Liquid Soap $
Answer:
a. 75,000
b. 50,000
c. 75,000
Step-by-step explanation:
The computation of allocating the joint cost using the physical units method is shown below:
[tex]Allocation\ rate = \frac{Joint\ costs}{Total\ number\ of\ products}[/tex]
[tex]= \frac{\$200,000}{300 + 200 + 300}[/tex]
[tex]Allocation\ rate = \frac{200,000}{800}[/tex]
= 250
For face cream
[tex]= Unit\ produced\times Allocation\ rate[/tex]
= [tex]300\times 250[/tex]
= 75,000
For body lotion
[tex]= Unit\ produced\times Allocation\ rate\\\\ = 200\times 250[/tex]
= 50,000
For Liquid soap
[tex]= Unit\ produced\times Allocation\ rate\\\\ = 300\times 250[/tex]
= 75,000
hence, we simply applied the above formula by multiplying the units produced with the allocation rate so that each one allocation cost could come
My friend needs help again :)
Which of the following numbers can be expressed as a decimal that terminates? 3 over 2, 2 over 3, 3 over 4, 5 over 7 3 over 2 and 2 over 3 3 over 4 and 5 over 7 3 over 2 and 3 over 4 2 over 3 and 5 over 7
Answer:
Hey there!
3/2= 1.5, which is good.
2/3=0.666666666666... no
3/4=0.75, which is good.
5/7= 0.71428... no
Answer:
3/23/53/4these sequences are limited
you can try it in a calculator
A right triangle is shown. The length of the hypotenuse is 4 centimeters and the lengths of the other 2 sides are congruent. The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle? 2 cm 2 StartRoot 2 EndRoot cm 4 cm 4 StartRoot 2 EndRoot cm
Answer:
The leg measures 2 I believe
Step-by-step explanation:
Since the squares of the legs equal C ([tex]A^{2} +B^{2} = C^{2}[/tex]) the square root of 16 would be 4.
The Pythagorean theorem is a basic relationship between the three sides of a right triangle. The length of one leg of the triangle is 2√2 cm.
What is the Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
[tex]\rm (Hypotenuse)^2 =(Perpendicular)^2 + (Base)^2[/tex]
Let the length of the perpendicular be x.
Given the length of the hypotenuse is 4 centimeters, while the length of the other two sides is the same, therefore, the length of the other two sides is x. Therefore, using the Pythagorus theorem we can write,
[tex]\rm (Hypotenuse)^2 =(Perpendicular)^2 + (Base)^2[/tex]
[tex]4^2 = x^2+x^2\\\\16=2x^2\\\\8=x^2\\\\x= 2\sqrt2[/tex]
Hence, the length of one leg of the triangle is 2√2 cm.
Learn more about Pythagoras Theorem:
https://brainly.com/question/14461977
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what is the domain of f(g(x)) if f(x)=
[tex] \sqrt{x} [/tex]
and g(x)=x-9
Step-by-step explanation:
f(g(x))=[tex]\sqrt{g(x)}[/tex]
--> g(x) >= 0 --> x-9>=0 --> x>=9
Not sure what it would be
Answer:
negative
Step-by-step explanation:
The slope of the line is negative because it goes from the upper corner down to the lower corner.
I remember it as negative because a rock would roll down it, if I would have to push it, it is positive.
The ratio of sides of 2 similar cubes is 3:4. Larger cube has a volume of 1728 cubic meters . What is the volume of the smaller cube?
Answer:
729m³
Step-by-step explanation:
To find the length of one side find the cube root of 1728m³
³√1728=12metres
To find the length of the smaller cube
ratio 3:4.
4/7=12m
3/7=?
3/7×12 = 3/7×12×7/4
4/7
=9metres
To find volume of the small cube
volume=9×9×9
=729m³
Select the correct car trips. Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Answer:
Speeds of car 1 and car 4 are same.
Step-by-step explanation:
Speed of an object = [tex]\frac{\text{Distance traveled}}{\text{Time}}[/tex]
For car 1,
Speed of car 1 = [tex]\frac{350}{5}[/tex]
= 70 miles per hour
For car 2,
Speed of car 2 = [tex]\frac{240}{4}[/tex]
= 60 miles per hour
For car 3,
Speed of car 3 = [tex]\frac{320}{5}[/tex]
= 64 miles per hour
For car 4,
Speed of car 4 = [tex]\frac{420}{6}[/tex]
= 70 miles per hour
Therefore, speeds of car 1 and car 4 are same.
Can you solve this????? Super hard!
Answer:
[tex]\textbf{J. }\dfrac{1}{x^2-x}[/tex]
Step-by-step explanation:
Factor the denominator and cancel the common factor.
[tex]\dfrac{x+1}{x^3-x}=\dfrac{x+1}{x(x^2-1)}=\dfrac{x+1}{x(x-1)(x+1)}=\dfrac{1}{x(x-1)}\\\\=\boxed{\dfrac{1}{x^2-x}}[/tex]
A survey asks, "If the husband in a family wants children, but the wife decides that she does not want any children, is it all right for the wife to refuse to have children?" Of 705 subjects, 581 said yes. a. Find a 99% confidence interval for the population proportion who would say yes. (Use ascending order. Round to four decimal places as needed.) Can you conclude that the population proportion exceeds 75%? Why? in 2 A. No, we cannot conclude that the population proportion exceeds 75%, because 75% is below the lowest believable value of the confidence interval B. Yes, we can conclude that the population proportion exceeds 75% because 75% is above the lowest believable value of the confidence interval C. No, we cannot conclude that the population proportion exceeds 75% because 75% is above the lowest believable value of the confidence interval D. Yes, we can conclude that the population proportion exceeds 75% because 75% is below the lowest believable value of the confidence interval. b. Without doing any calculations, explain whether the interval in (a) would be wider or narrower than a 95% confidence interval for the population proportion who would say yes. The 99% confidence interval would be wider than a 95% confidence interval. The 99% confidence interval would be narrower than a 95% confidence interval.
Answer:
a. The 99% confidence interval for the population proportion is (0.7872, 0.8610).
D. Yes, we can conclude that the population proportion exceeds 75% because 75% is below the lowest believable value of the confidence interval.
b. The 99% confidence interval would be wider than a 95% confidence interval.
As the confidence level increases, the width interval increases, as we are requiring more confidence with the same information (there is no new sample). This means that, to be more confident, the only way is to include more values in the interval.
Step-by-step explanation:
We have to calculate a 99% confidence interval for the proportion.
The sample proportion is p=0.8241.
[tex]p=X/n=581/705=0.8241[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8241*0.1759}{705}}\\\\\\ \sigma_p=\sqrt{0.000206}=0.0143[/tex]
The critical z-value for a 99% confidence interval is z=2.5758.
The margin of error (MOE) can be calculated as:
[tex]MOE=z\cdot \sigma_p=2.5758 \cdot 0.0143=0.0369[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=p-z \cdot \sigma_p = 0.8241-0.0369=0.7872\\\\UL=p+z \cdot \sigma_p = 0.8241+0.0369=0.8610[/tex]
The 99% confidence interval for the population proportion is (0.7872, 0.8610).
We can conclude that there is, at least, 99% chances that the true proportion is higher than 0.7872. So there is at least 99% chances that the population proportion is higher than 0.75.
Write 48√3 - 15√12 + 2√75 in the form a√3 a = √3
Answer:
68√3
Step-by-step explanation:
48√3 - 15√12 + 2√75=
48√3 - 15√4*3 + 2√25*3 =
48√3 - 30√3 + 50√3= 68√3
given that f(x)= 2x+1 find f(2)
Answer:
f(2) = 5
Step-by-step explanation:
Simply plug in 2 for x:
f(2) = 2(2) + 1
f(2) = 4 + 1
f(2) = 5
What are (a) the x component and (b) the y component of a vector in the xy plane if its direction is 250° counterclockwise from the positive direction of the x axis and its magnitude is 7.3 m?
Answer:
(-2.497, -6.860)
Step-by-step explanation:
For any magnitude r and direction θ, the translation to rectangular coordinates is ...
(r, θ) ⇒ (x, y)
(r, θ) ⇒ (r·cos(θ), r·sin(θ))
Your coordinates translate to ...
(7.3, 250°) ⇒ (7.3·cos(250°), 7.3·sin(250°)) ≈ (-2.497, -6.860)
darius is camping in the woods. he notices on a map that his campsite is 50 yards from the ranger station. he walks 18 yards towards the ranger station the tree forms the altitude of a right triangle that connects the top of the tree darius's campsite, and the ranger station. sketch a diagram of the situation and determine the angle of depression formed by darius sightline to the ranger station.
Answer:
The angle of depression formed by Darius's sight line to the ranger station is 53.13°.
Step-by-step explanation:
Denote Darius's camp site as C, the ranger station as R and the tree as T.
Consider the triangle CTR.
TX is the altitude of the right angled triangle TXR.
The altitude of a right angled triangle forms two triangle that similar to each other.
So, ΔTXC [tex]\sim[/tex] ΔTXR.
Compute the measure of TX as follows:
[tex]\frac{CX}{TX}=\frac{TX}{RX}\\\\TX^{2}=CX\times RX\\\\TX=\sqrt{CX\times RX}[/tex]
[tex]=\sqrt{18\times 32}\\\\=24\ \text{yd}[/tex]
The angle d represents the angle of depression formed by Darius's sight line to the ranger station.
Compute the value of d as follows:
[tex]tan\ d^{o}=\frac{RX}{TX}\\\\d^{o}=tan^{-1} [\frac{RX}{TX}][/tex]
[tex]=tan^{-1} [\frac{32}{24}]\\\\=53.13[/tex]
Thus, the angle of depression formed by Darius's sight line to the ranger station is 53.13°.
QUESTION 6
Find Future Value Using Compound Interest Formula:
You deposit $300 in an account earning 7% interest compounded semi-annually. How much will you have in the account in 20 years?
A. $720
B. $596.94
C. $1,187.78
D. $1,140
QUESTION 7
Find Future Value Using Compound Interest Formula:
You deposit $3,000 in an account earning 3% interest compounded monthly. How much will you have in the account in 15 years?
A. $3,091.25
B. $4,702.30
C. $4,507.25
D. $3,033.62
El numeral 32012(4) representado en el sistema decimal, porfavor
Answer: El número es 902 en el sistema decimal.
Step-by-step explanation:
Supongo que tenemos el número:
32012 en base 4, y lo queremos representar en base decimal.
Entonces, usando la regla general, podemos escribir este número como:
unidades*base^0 + decenas*base^1 + centenas*base^2......
Es decir, acá tenemos:
2*4^0 + 1*4^1 + 0*4^2 + 2*4^3 + 3*4^4 = 902
El número es 902 en el sistema decimal.
Prepare the journal entries on December 31, 2019, for the 40 extended contracts (the first year of the revised 3-year contract).
This is not the complete question, the complete question is:
P18-1 (LO2,3) (Allocate Transaction Price, Upfront Fees)
Tablet Tailors sells tablet PCs combined with Internet service, which permits the tablet to connect to the Internet anywhere and set up a Wi-Fi hot spot. It offers two bundles with the following terms.
1. Tablet Bundle A sells a tablet with 3 years of Internet service. The price for the tablet and a 3-year Internet connection service contract is $500. The standalone selling price of the tablet is $250 (the cost to Tablet Tailors is $175). Tablet Tailors sells the Internet access service independently for an upfront payment of $300. On January 2, 2017, Tablet Tailors signed 100 contracts, receiving a total of $50,000 in cash.
2. After 2 years of the 3-year contract, Tablet Tailors offers a modified contract and extension incentive. The extended contract services are similar to those provided in the first 2 years of the contract. Signing the extension and paying $90 (which equals the standalone selling of the revised Internet service package) extends access for 2 more years of Internet connection. Forty Tablet Bundle A customers sign up for this offer.
INSTRUCTION
a) Prepare the journal entries when the contract is signed on January 2, 2019, for the 40 extended contracts. Assume the modification does not result in a separate performance obligation.
b) Prepare the journal entries on December 31, 2019, for the 40 extended contracts (the first year of the revised 3-year contract).
Answer:
Step-by-step explanation:
(A)
Date Particulars Debit Credit
2-Jan-19 Cash 3600
Unearned Service Revenue 3600
40 * 90 = 3600
services in the extended period are the same as the services that were provided in the original contract period. As they are not distinct hence the modifications will be considered as part of the original contract.
(B)
Date Particulars Debit Credit
31-Dec-19 Unearned Service Revenue 2413
Service revenue 2413
internet = 300, price = 550, connection service = 500
(300/550) * 500 = 273
so
Original internet service contract = 40 * 273 = 10,920
Revenue recognized in 1st two years = 10,920 * 2/3 = 7280
Remaining service at original rates = 10920 - 7280 = 3640
Extended service = 3600
3640 + 3600 = $7240
7240 / 3 = $2413
whats the answer yall please help me god
Answer:
C, D and E are true
Step-by-step explanation:
You know that angle 3 = 180 - ∠1 -∠2
and that angle 4 = 180 - ∠3 so
∠4 = ∠1 + ∠2 and you can deduce the C and D
Answer:
C, D, E are the correct options.
Step-by-step explanation:
[tex]C. \: \: m \angle \: 4 \: is \: greater \: than \: m \angle \: 2 \\ \\ D. \: \: m \angle \: 1 + m \angle \: 2 = m \angle \: 4 \\ \\ E. \: \: m \angle \: 4 \: is \: greater \: than \: m \angle \: 1[/tex]
Sofia vai colar um pedaço de barbante no contorno de uma moldura quadrada de lado 20 cm. Qual deverá ser o comprimento desse barbante?
Answer:
A corda deve ter um comprimento mínimo de 80 cm.
The string should have a minimum length of 80 cm.
Step-by-step explanation:
Espera-se que a corda seja colada em todo o contorno da moldura quadrada.
Isso significa que a cadeia precisa cobrir pelo menos todo o perímetro da moldura quadrada pelo menos uma vez.
Perímetro de um quadrado = 4L
L = comprimento lateral do quadrado.
O comprimento lateral da moldura quadrada = 20 cm
Comprimento mínimo da corda necessária = Perímetro da moldura quadrada = 4 × 20 = 80 cm.
Espero que isto ajude!!!!
English Translation
Sofia is going to glue a piece of string to the outline of a square frame 20 cm from the side. How long should this string be?
Solution
The string is expected to be glued all around the outlne of square frame.
This means the string needs to at least cover the whole perimeter of the square frame a minimum of one time.
Perimeter of a square = 4L
L = side length of the square.
The side length of the square frame = 20 cm
Minimum length of the string required = Perimeter of the square frame = 4 × 20 = 80 cm.
Hope this Helps!!!!
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Step-by-step explanation:
Log T = 11.8 + 1.5.M (with T is the amount of energy released by the earthquake, Log refers to the logarithm to the base 10)
-->T = [tex]10^{11.8 +1.5*6.5}[/tex] ≈3.458 *[tex]10^{21}[/tex]
Answer: 2.00 x 10¹⁰⁹
Step-by-step explanation:
log T = 11.8 + 1.5M
Given: M = 6.5
log T = 11.8 + 1.5(6.5)
log T = 11.8 + 9.75
log T = 21.55
T = 10²¹⁻⁵⁵
T = 1.995 x 10¹⁰⁹
T = 2.00 x 10¹⁰⁹ rounded to the nearest hundredth
Two spheres have scale factor of 1:3. The smaller sphere has a surface area of 16 square feet. Find the surface area of the larger sphere
Answer:
48
Step-by-step explanation:
16*3=48
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 559 randomly selected Americans surveyed, 370 were in favor of the initiative. Round answers to 4 decimal places where possible.
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between and .b. If many groups of 506 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.
Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.
[tex]p=X/n=370/559=0.6619[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02[/tex]
The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:
[tex]MOE=z\cdot \sigma_p=1.6449 \cdot 0.02=0.0329[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=p-z \cdot \sigma_p = 0.6619-0.0329=0.6290\\\\UL=p+z \cdot \sigma_p = 0.6619+0.0329=0.6948[/tex]
The 90% confidence interval for the population proportion is (0.6290, 0.6948).
pqrs is a rhombus with angle pqr is equals to 58 determine angle PRS
Answer: ∡PRS=61°
Step-by-step explanation:
As known the following equity is valid for the rhombus:
∡PQR+∡QRS = 180°
So ∡QRS=180°- ∡PQR
∡QRS=180°- 58°= 122°
From another hand we know that PR is bisector of ∡QRS.
So ∡PRS=∡QRS:2= 122°:2=61°
∡PRS=61°
what fraction is greater than 2/5 but less than 3/5
Hey there! I'm happy to help!
You haven't provided any answer choices but I can show you a trick to find any number between two numbers. This is will give you an instant answer to one being greater than one number and less than another.
What you do is you add the two numbers and divide by two!
2/5+3/5=1
1÷2=1/2
Therefore, 1/2 is a possible answer here.
I hope that this helps! Have a wonderful day!
Approximating square roots
Go to le
Without using a calculator, choose the statement that best describes the value of 215.
Choose 1 answer:
The value of 215 is between 13 and 13.5.
The value of 215 is between 13.5 and 14.
The value of 215 is between 14 and 1.5.
The value of v 215 is between 14.5 and 15.
Step-by-step explanation:
We know that
14^2=196, and
15^2=225
so we know that sqrt(215) is between 14 and 15.
How do we know if it is between 14.5 and 15?
we need to know the value of 14.5^2, which we can calculate in the head as follows:
The square of all numbers ending in 5 such as 15 can be calculated by breaking up the 5 and the preceding digit(s),
The preceding digit is 1. We multiply 1 by the next integer, 2 to get 2.
Attach 25 to 2 gives us 225 (as we saw above.
Example, 145*145 = 14*15 | 25 = 210 | 25 = 21025
so
14.5^2 = 210.25, which gives the more precise answer that
14.5^2 < 215 < 15^2, or
14.5 < sqrt(215) < 15 (fourth choice)
Since the third choice says sqrt(215) is between 14 and 1.5 (not 15), so the third choice is incorrect.
Note: if we eliminated the third choice, i.e. discard the likelihood of typo in the question, the only one left is the fourth choice.
Which vector has an x-component with a length of 4?
Answer:
vector aStep-by-step explanation:
In order to locate the vector that has an x- component with a length of 4, we need to know the position of each vector on the Cartesian plane. Each of the vectors lies on the (x, y) coordinate.
For vector a, it lies on the coordinate A(1, 4), vector b lies on the coordinate B(1,1), vector c lies on the coordinate C(4,4) while vector d lies in the coordinate D(3, 4).
It can be seen that out of this four vectors, only vector C has an x- coordinate of 4. This shows that vector a is the only vector that has an x-component with a length of 4?