Answer:
4:3
Step-by-step explanation:
Got the same question. the answer is 4:3
Rabbit populations can increase by 45% every 10
days. If there are 12 rabbits on a farm, how many
rabbits will there be on the farm after 90 days?
By evaluating an exponential function we can see that after 90 days there willbe 340 rabbits.
How many rabbits will there be on the farm after 90 days?We know that the rabbit population can increase by 45% every 10 days, then the population can be modeled by the exponential function:
P(x) = A*(1 + 0.45)^(x/10)
Where x is the time in days and A is the initial population.
Here we know that the initial populationis 12 rabbits, then the function is:
P(x) = 12*(1.45)^(x/10)
And the population after 90 days is:
P(90) = 12*(1.45)^(90/10)
P(90) = 340
There will be 340 rabits in 90 days.
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Reyesburg Corporation is contemplating using a new, more expensive glue in the construction of its laminated veneer lumber. Of importance to the company is the carrying load of the lumber. The company has tested NM beams using the new glue, recording for each beam the pressure (in pounds per square foot) at which the beam broke. The data collected are presented in the following histogram:
Based on the histogram, find the proportion of carrying loads in the sample that are less than NM pounds per square foot. Write your answer as a decimal, and do not round your answer.
Carrying Load (in pounds per sq. ft) Frequency
860-880 3
880-900 6
900-920 9
920-940 4
940-960 3
The proportion of carrying loads in the sample that are less than or equal to 880 pounds per square foot is 0.12.
To find the proportion of carrying loads in the sample that are less than NM pounds per square foot, we need to sum up the frequencies of all the bins that have carrying loads less than NM.
Given the histogram data:
Carrying Load (in pounds per sq. ft) | Frequency
860-880 3
880-900 6
900-920 9
920-940 4
940-960 3
Let's assume NM is the upper limit of the desired range for the carrying load. To calculate the proportion of carrying loads less than NM, we need to add up the frequencies of all the bins with carrying loads below NM.
For example, if NM is less than or equal to 880, then all the frequencies of the first bin (860-880) will be included in the calculation. If NM is between 880 and 900, the frequencies of both the first and second bins will be included, and so on.
To find the proportion, we sum up the frequencies of the relevant bins and divide it by the total sample size.
For the given histogram data, the total sample size is:
Total sample size = 3 + 6 + 9 + 4 + 3 = 25
Let's calculate the proportion for NM values less than or equal to 880:
Proportion = (Frequency of bin 1) / (Total sample size) = 3 / 25 = 0.12
Therefore, the proportion of carrying loads in the sample that are less than or equal to 880 pounds per square foot is 0.12.
Note: The exact value of NM was not provided, so we calculated the proportion for NM values less than or equal to 880 as an example. The calculation can be done for any specific NM value by summing up the frequencies of the relevant bins and dividing by the total sample size.
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Please help me with my work:)
Answer:
length x width x height
6 x 8 x h = volume
Step-by-step explanation:
Mr. Hepworth bought a new refrigerator for $975 after a 25% discount, how much did the refrigerator cost originally?
so i'm struggling with a different problem this time. 5p - 9 = 2p + 12. (keep in mind i am an 8th grader in a high school algebra 1 class so i'm pretty clueless)
Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns 3 times as much money than the second day on the 3rd day.How much money did Molly earn on the first day?
Answer:
Molly earned $856 on the first day.
Step-by-step explanation:
From the information given, you know that over 3 days Molly earned $2,568 which is:
x+y+z=2568, where:
x is the amount earned on the first day
y is the amount earned on the second day
z is the amount earned on the third day
Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.
Now you can replace x and y in the first equation and solve for y:
2y+y+3y=2568
6y=2568
y=2568/6
y=428
No, you can replace the value of y to find x and z:
x=2(428)
x=856
z=3(428)
z=1284
According to this, the answer is that Molly earned $856 on the first day.
For a fishing trip, Josh is going to choose lures to put in his tackle box. He has 7 lures that are spinner balls and 6 that are jigs. In how many ways can he choose 4 lures if 2 or fewer must be jigs
If 2 or fewer must be jigs, Josh can select 4 lures in 770 different ways.
To solve this problem, we can break it down into cases:
Case 1: Josh chooses 0 jigs
In this case, he needs to choose 4 spinner balls from the 7 available. The number of ways he can do this is:
C(7, 4) = 35
Case 2: Josh chooses 1 jig
In this case, he needs to choose 3 spinner balls from the 7 available and 1 jig from the 6 available. The number of ways he can do this is:
C(7, 3) × C(6, 1) = 210
Case 3: Josh chooses 2 jigs
In this case, he needs to choose 2 spinner balls from the 7 available and 2 jigs from the 6 available. The number of ways he can do this is:
C(7, 2) × C(6, 2) = 525
Therefore, the total number of ways Josh can choose 4 lures if 2 or fewer must be jigs is:
35 + 210 + 525 = 770
So, there are 770 ways for Josh to choose 4 lures if 2 or fewer must be jigs.
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The area of a rectangle is 2r^2 + r – 1. The length is 2r – 1. What simplified expression represents the width?
Answer:
The width is (r+1)
Step-by-step explanation:
2r^2+r-1
(2r-1)(r+1)
The price of an item has been reduced by 45%. The original price was $43. What is the price of the item now?
Thank you!
Answer:
23.65
Step-by-step explanation:
Please help me! It's due today and I have a lot of other stuff to do!! Anything is appreciated!
Answer:
Angle ABC: 110°
Angle XYZ: 75°
Answer:
Abc is 110
xyz is 75
Step-by-step explanation:
If you look at abc it is a obtuse (more than 90) and 110 is the only one over 90
xyz is a acute angle meaning less than 90. there are 2 possible answers but it is so close to being 90 degrees that i have to say its 75
The limit represents \( f^{\prime}(c) \) for a function \( f(x) \) and a number \( c \). Find \[ \lim _{x \rightarrow 36} \frac{8 \sqrt{x}-48}{x-36} \] \[ f(x)= \] \[ c= \]
The value of the given function \($f(x)=\frac{8 \sqrt{x}-48}{x-36}$\) is 2/3.
To find f(x) and c we can simplify the given expression and then analyze it.
\($f(x)=\frac{8 \sqrt{x}-48}{x-36}$\)
Let's simplify the expression by factoring out 8 from the numerator
\($f(x)=\frac{8 (\sqrt{x}-6)}{x-36}$\)
From this expression, we can see that f(x) is defined for all values of x except when x = 36 (which would make the denominator 0).Therefore, f(x) is defined for x ≠ 36.
Now, let's find the value of c by taking the limit of f(x) as x approaches 36
\($\lim _{x \rightarrow 36} f(x)=\lim _{x \rightarrow 36} \frac{8(\sqrt{x}-6)}{x-36}$\)
To evaluate the limit, we can substitute x = 36 directly into the expression
\($\lim _{x \rightarrow 36} f(x)=\frac{8(\sqrt{36}-6)}{36-36}$\)
Simplifying further
\($\lim _{x \rightarrow 36} f(x)=\frac{8(6-6)}{0}$\)
Here, we have an indeterminate form of 0/0. This suggests that we can use L'Hôpital's rule to find the limit. Taking the derivative of the numerator and denominator
\($\lim _{x \rightarrow 36} f(x)=\lim _{x \rightarrow 36} \frac{\frac{d}{d x}(8(\sqrt{x}-6))}{\frac{d}{d x}(x-36)}$\)
\($\lim _{x \rightarrow 36} f(x)=\lim _{x \rightarrow 36} \frac{\frac{4}{\sqrt{x}}}{1}$\)
Now substitute x = 36 in the expression
\($\lim _{x \rightarrow 36} f(x)=\frac{\frac{4}{\sqrt{36}}}{1}$\)
Simplifying further
\($\lim _{x \rightarrow 36} f(x)=\frac{\frac{4}{6}}{1}=\frac{2}{3}$\)
Therefore, the limit \($\lim _{x \rightarrow 36} f(x)\) is equals to \(\frac{2}{3}\).
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Find the number that makes the ratio equivalent to 4:1.
40:
Answer:
Below
Step-by-step explanation:
You multiplied the '4' by 10 to get 40 .....multiply the '1' by 10 the get the second number = 10 this will keep the ratio correct
Help!!!!!!! Once again this is a review!!!!!!! Question is on image below. 50 points + brainliest!!!!!!
Answer:
82
Step-by-step explanation:
It is lets then 90 but not by much
Will mark Brainliest for best Answer!!! ;)
Answer:
I am pretty sure it is the 3rd answer.
Step-by-step explanation:
Answer:
its the 3rd answer
Step-by-step explanation:
Can 0.06 be rational or irrational???
Step-by-step explanation:
it would be irrational insta dfl.jacob if you need more help
Answer:
Rational
Step-by-step explanation:
0.06=3/50
The length of a rectangle is 3 less than twice the width. Determine how the area will change if the length of the rectangle is increased by 5 and the width is decreased by 2. Show your work.
The change in the area is represented by the expression ΔA = 9 · x + 4, where x is the original width of the rectangle.
What is the change in the area of the rectangle if side lengths are changed?
By geometry we know that the area of a rectangle is equal to the product of its width (x) and length (y). Based on the statement, the original rectangle is equal to:
A = x · y
A = x · (2 · x - 3)
And the change in the area is:
A + ΔA = (x + Δx) · (y + Δy)
A + ΔA = x · y + Δx · y + Δy · x + Δx · Δy
ΔA = Δx · y + Δy · x + Δx · Δy
ΔA = (2 · x - 3) · Δx + Δy · x + Δx · Δy
ΔA = 2 · (2 · x - 3) + 5 · x + 10
ΔA = 9 · x + 4
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A simple random sample of 60 items from a population with σ = 7 resulted in a sample mean of 36.
If required, round your answers to two decimal places.
a. Provide a 90% confidence interval for the population mean.
61.91 to 34.52
b. Provide a 95% confidence interval for the population mean.
37.77 to 34.23
c. Provide a 99% confidence interval for the population mean.
38.32 to 33.68
a) The 90% confidence interval for the population mean is approximately 34.52 to 37.48.
b) The 95% confidence interval for the population mean is approximately 34.23 to 37.77.
c) The 99% confidence interval for the population mean is approximately 33.68 to 38.32.
a. 90% confidence interval:
A 90% confidence interval means that if we were to repeat this sampling procedure multiple times, approximately 90% of the intervals calculated would contain the true population mean. The standard error (SE) represents the standard deviation of the sample mean and is calculated by dividing the population standard deviation (σ) by the square root of the sample size (n).
Plugging in the values:
Confidence interval = 36 ± (1.645 * (7 / √60))
Confidence interval ≈ 36 ± (1.645 * 0.903)
Confidence interval ≈ 36 ± 1.487
Confidence interval ≈ 34.52 to 37.48
b. 95% confidence interval:
Similarly, to calculate a 95% confidence interval, we use a different critical value. For a 95% confidence level, the critical value is approximately 1.96. Applying the formula:
Confidence interval = 36 ± (1.96 * (7 / √60))
Confidence interval ≈ 36 ± (1.96 * 0.903)
Confidence interval ≈ 36 ± 1.771
Confidence interval ≈ 34.23 to 37.77
c. 99% confidence interval:
To calculate a 99% confidence interval, we use a higher critical value. For a 99% confidence level, the critical value is approximately 2.576. Applying the formula:
Confidence interval = 36 ± (2.576 * (7 / √60))
Confidence interval ≈ 36 ± (2.576 * 0.903)
Confidence interval ≈ 36 ± 2.326
Confidence interval ≈ 33.68 to 38.32
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4. Marcy plans to save $3 in January, 54 in February, S6 in March, and $9 in April. If she continues this pattern, how much money will she save in December?
find the unit price of three packs of bottle of juice for $6.75 fill in the amount blank per bottle of juice
Since the 3 pack cost $6.75 this means that:
\(\frac{6.75}{3}=2.25\)each bottle of juice cost $2.25.
I need this simplified in to a proper fraction, how do I do that
To simplify, write each mixed number as a proper fraction.
To write a mixed number as a proper fraction add the whole part and the fraction part.
Addition and substraction of fractions:
\(\frac{a}{b}\pm\frac{c}{d}=\frac{ad\pm bc}{bd}\)Write 10 3/4 as a porper fraction:
\(10+\frac{3}{4}=\frac{40+3}{4}=\frac{43}{4}\)Write 4 7/8 as a proper fraction:
\(4+\frac{7}{8}=\frac{32+7}{8}=\frac{39}{8}\)Then, you have the next substraction of fractions:
\(undefined\)which of the following is a type of special triangle
a) 45- 45-90
b ) 25-50-75
c) 60-60-60
d) all of above
Answer:
A) 45-45-90
Step-by-step explanation:
45-45-90 is a special right triangle.
Divide. 9(cos(11π/6) +sin(11π/6))3√3(cos(π/4) +i sin(π/4)) Enter your answer by filling in the boxes. Enter all values as exact values in simplest form. (Cos () +i sin (
Answer: √3(cos(19pi/12) + isin(19pi/12))
Step-by-step explanation: I took the test.
What is the length of BD?
Round to one decimal place.
Help pls
Answer: 2.7
Step-by-step explanation:
Do the following using the given information: Utility function u(x1+x2) = .5ln(x1) + .25ln(x₂) .251 Marshallian demand X1 = - and x₂ = P₂ . Find the indirect utility function . Find the minimum expenditure function . Find the Hicksian demand function wwww
Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²
Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.
The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)
Thus the indirect utility function is undefined.
Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:
Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²
Minimum expenditure function is thus:
Exp = P₁(-) + P₂²
Hicksian demand functions can be derived from the utility function and prices of goods:
H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*
Hicksian demand functions are:
x1** = 2P₁x₂
x₂** = P₂²
If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.
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The angle below measures _____ degrees.
what is the ratio of 15:5
Answer: 3:1
Step-by-step explanation: In a question like this, they are simply asking you to simply the ratio or break it down. To do this you are going to find the highest number that can go into both numbers without leaving a remainder. In simpler terms, find the HCF (highest common factor).
5 is the highest number that can go into both 5 and 15 without leaving a remainder, making it the highest common factor (HCF).
5 into 5 is 1. 5 into 15 is 3 therefore the simpler ratio is 3:1
when operating under ifr with a vfr-on-top clearance, what altitude should be maintained?
When operating under Instrument Flight Rules (IFR) with a Visual Flight Rules (VFR) on-top clearance, the altitude to be maintained depends on the specific clearance and regulations in place.
Generally, when flying VFR-on-top, the pilot is authorized to operate in VFR conditions above a layer of clouds or other obscuring phenomena. In terms of altitude, the pilot is expected to maintain a cruising altitude appropriate for the direction of flight and comply with the relevant airspace regulations. This typically involves flying at the appropriate altitude for the specific airspace class, as defined by the Federal Aviation Regulations (FARs) or the applicable regulatory authority. It's important for pilots to review and understand the specific requirements and altitude restrictions outlined in their VFR-on-top clearance, as well as any additional instructions provided by air traffic control.
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Determine f(t) when f"(t) = 6(2t+1) and f'(1) = 3, f(1) = 4
The Function is: f(t) = (2/3)\(t^3\) + (3/2\()t^2\) - t + 2/3
To determine f(t) given f''(t) = 6(2t+1), f'(1) = 3, and f(1) = 4, we need to integrate the given function twice.
First, we integrate f''(t) = 6(2t+1) once to get f'(t):
f'(t) = 2\(t^2\) + 3t + C1, where C1 is the constant of integration.
Next, we integrate f'(t) = 2\(t^2\) + 3t + C1 once again to get f(t):
f(t) = (2/3)\(t^3\) + (3/2)\(t^2\) + C1t + C2, where C2 is the constant of integration.
Using the initial conditions f'(1) = 3 and f(1) = 4, we can solve for the constants C1 and C2:
f'(1) =\(2(1)^2 + 3(1) + C1 = 3\)
C1 = -1
f(1) =\((2/3)(1)^3 + (3/2)(1)^2 - 1(1) + C2 = 4\)
C2 = 2/3
Therefore, the final solution is:
f(t) =\((2/3)t^3 + (3/2)t^2 - t + 2/3\)
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this table shows some values of an exponential function. what is the function
Answer:
there is no table so we are therefore unable to answer this question
Step-by-step explanation:
sorry
The ____________ data type is used to store any number that might have a fractional part.
a. string
b. int
c. double
d. boolean
The ____The correct answer is c. double.________ data type is used to store any number that might have a fractional part.
the double data type is used to store any number that might have a fractional part, including decimal numbers and scientific notation numbers. It has a higher precision than the float data type, which can lead to more accurate . In conclusion, if you need to store numbers with decimal points, the double data type is the best option.
The correct answer is c. double.
The double data type is used to store any number that might have a fractional part, such as decimals and real numbers. In contrast, a string is used to store text, an int is used to store whole numbers, and a boolean is used to store true or false values.
To store a number with a fractional part, you should use the double data type.
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