Here goes the answer. Please mark brainliest.
a rabit can run 35 miles per hour.a fox can run 21 miles in half an hour. which animal is faster, an by how much
Answer:
The fox is faster, by 7 miles per hour
Step-by-step explanation:
The fox can run 21 miles in half an hour -> It can run 42 miles in an hour
And the rabbit can run 35 miles per hour, so the fox run fastest by 42-35 = 7(m/h)
Answer:
the fox can run faster by 17 mph!
Step by step explanation:
This problem involves ratios
Our two ratios involve the distance the animals ran (the 35 & 21) and the time it took for them to run that distance (the 1 & 0.5)
So our two ratios are 1:35 (it took the rabbit 1 hour to run 35 miles) and 0.5:21 (it took the fox half an hour to run 21 miles)
But before we start subtracting, we have to take into account the fact that the time periods are not the same!
To start subtracting, we need to 0.5 and 1 to be the same or vice versa, the 1 to be a 0.5
In this case, let’s make the 0.5:21 bigger because it’s often easier to multiply than divide
When we multiply 0.5 by 2, it gets us to 1 so we have to do the same to the 21.
21x2=42
So our new ratio is 1:42
Now we can directly compare the two ratios.
42-35=17
So the fox ran faster by 17 miles
PLEASE AWARD BRAINLIEST I NEED TO LEVEL UP!
Select all equations that have graphs with the same y-intercept.
y = 3x - 8
y = 3x - 9
y = 3x + 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8
The equations that have graphs with the same y-intercept are:
y = 3x - 8y = 5x - 8y = 2x - 8y = (1/3)x - 8To determine which equations have graphs with the same y-intercept, we need to look for equations that have the same constant term when written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
The y-intercept is the value of y when x is equal to 0. In other words, it is the point where the graph intersects the y-axis.
Let's compare the equations and their constant terms:
y = 3x - 8 (Constant term: -8)
y = 3x - 9 (Constant term: -9)
y = 3x + 8 (Constant term: 8)
y = 5x - 8 (Constant term: -8)
y = 2x - 8 (Constant term: -8)
y = (1/3)x - 8 (Constant term: -8)
From the comparison, we can see that the equations y = 3x - 8, y = 5x - 8, y = 2x - 8, and y = (1/3)x - 8 all have the same constant term of -8. This means that their graphs will have the same y-intercept, which is -8.
Therefore, the equations that have graphs with the same y-intercept are:
y = 3x - 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8
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i messed up sorry
Item 9
Question 1
Write the word sentence as an equation. Then solve.
A number x multiplied by 2/5 is 3/20.
Equation:
Question 2
Solution: x=
Answer:
x2/5=3/20 it is the equation
and when we solve it
x2/5=3/20
x2/5×5/2=3/20×5/2
x=15/40 when we simplify it by 5 it is
x=3/9 it is the answer for the question.
Type the correct answer in the box.
The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x months since the beginning of the year.
Use the data in the table to create the standard form of the function that models this situation, where a, b, and c are constants.
x 0 2 4 6 8 10
f(x) 10 15 18 19 18 15
f(x)=ax^2+bx+c
Answer:
It appears that you are trying to find a quadratic function in standard form that models the number of guests at the large resort as a function of the number of months since the beginning of the year.
To do this, you can use the given data points to solve for the constants a, b, and c in the standard form of the quadratic function f(x) = ax^2 + bx + c.
To find the values of a, b, and c, you will need to have at least three data points. You can then use these data points to solve a system of three equations with three variables.
For example, using the data points (0, 10), (2, 15), and (4, 18), you can set up the following system of equations:
f(0) = 10 = a(0)^2 + b(0) + c
f(2) = 15 = a(2)^2 + b(2) + c
f(4) = 18 = a(4)^2 + b(4) + c
Solving this system of equations will give you the values of a, b, and c that you can use to write the standard form of the quadratic function that models the data.
I hope this helps! Let me know if you have any questions or need further assistance.
Step-by-step explanation:
HELP Darius owns a business that manufactures and sells record players, now that vinyl records have resurged in popularity. The graph shows Darius's expected revenue and cost in relation to the price he sets for each record player.
Answer: 32 and 85
Step-by-step explanation:
Darius set the price between $32 and $85.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
Given:
We have the graph shows Darius's expected revenue and cost in relation to the price he sets for each record player.
For the expected revenue = 32 the cost is $5539.
and, For the expected revenue = 85 the cost is $4062.
and there is a peak at expected revenue 52.
Then, for profit Darius set the price between $32 and $85.
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Three times a number is 4 more than twice the number
Answer:
3n = 2n + 4
Step-by-step explanation:
That is that as an equation.
8. The cone shown below has a circular base with a diameter of 8 feet. 8 feet 5 feet What is the volume of the cone? Use 3.14 for n.
Answer:
The volume of the cone is;
\(83.73ft^3\)Explanation:
Given the cone with diameter 8 feet and height 5 feet;
\(\begin{gathered} d=8\text{ f}eet \\ h=5\text{ f}eet \end{gathered}\)The volume of cone can be calculated using the formula;
\(\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\pi(\frac{d}{2})^2h \\ V=\frac{1}{3}\pi(\frac{d^2}{4})h \\ V=\frac{1}{12}\pi d^2h \end{gathered}\)Substituting the given values;
\(\begin{gathered} V=\frac{1}{12}\pi d^2h \\ V=\frac{1}{12}\times(3.14)\times(8)^2\times5 \\ V=83.73ft^3 \end{gathered}\)Therefore, the volume of the cone is;
\(83.73ft^3\)2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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Adrian bought a car worth $12000 on 36 easy installments of $375. Answer the following questions. (1) How much total amount did Adrian pay in 36 months? Answer: Total payment A = $ (2) Identify the letters used in the simple interest formula I = Prt. I= $ P= $ and t years. (3) Find the rate of interest in percentage. Answer: r %. ASK YOUR TEACHER
3) since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.
(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:
Total payment A = Monthly installment * Number of installments
= $375 * 36
= $13,500
Therefore, Adrian paid a total of $13,500 over the course of 36 months.
(2) In the simple interest formula I = Prt, the letters used represent the following variables:
I: Interest (the amount of interest paid)
P: Principal (the initial amount, or in this case, the car worth)
r: Rate of interest (expressed as a decimal)
t: Time (in years)
(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:
r = (I / Pt) * 100
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About how many times greater was change in price per gallon in 2007 than 2000? Show your work or explain how u determind your answer.
The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b
Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b
Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
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A person walks 1 km, turns around, and runs back to where he started. Compare the energy used and the power during the two segments. A. The energy used and the power are the same for both. B. The energy used while walking is greater, the power while running is greater. C. The energy used while running is greater, the power while running is greater. D. The energy used is the same for both segments, the power while running is greater.
D. The energy used is the same for both segments, the power while running is greater.
Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.
Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.
D. The energy used is the same for both segments, the power while running is greater.
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Select the correct answer.
(1, √3) to polar form.
A. (√3, 30°)
B. (2,60°)
C. (4,30°)
D. (2,240°)
Answer:
(2, 60°)
Step-by-step explanation:
A point in polar form (a,b) is represented by a radius and an angle (r, ϴ). To convert, use the formula r² = a² + b² to get r, and \(tan^{-1}\)(b/a) = ϴ
\(r = \sqrt{1^{2} + \sqrt{3} ^{2} }\)
\(r = \sqrt{1+3}\)
\(r = \sqrt{4}\)
= 2
\(tan^{-1}\)(\(\sqrt{3}\)/1) = ϴ
= 60°
One of the corners of a rectangle is shown.
A diagonal splits the corner into two angles.
20
Х.
Diagram not
drawn to scale
Work out the size of angle x.
Answer:
70 degrees
Step-by-step explanation:
rectange angle total = 360
1 corner = 90
90-20 = 70
given a multi-value attribute with a variable number of values, for which we need to process independently the values, it is recommended to consider a new dependent entiy to represent the values
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.
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5. Quadrilateral LMNO has coordinates L(5,6),
M(9,8), N(11, 12), and 0(7,10). How can
quadrilateral LMNO be classified?
A. Square
B. rhombus but not a square
C. rectangle but not a square
D. parallelogram but neither a rhombus nor a
rectangle
Answer:
B- Rhombus but not square
Step-by-step explanation:
School sucks balls
You randomly choose a letter from the word ENGAGEMENT. Find the probability of
choosing either an N or an A.
Answer:
3:10
Step-by-step explanation:
there are 2 N's and 1 A
Answer:
3/10 or 3:10
Step-by-step explanation:
There are a total of 10 letters in the word ENGAGEMENT. The probability of choosing an N or and A is 3 because there are 2 N's and 1 A for a total of 3 possibilities out of the total number of letters which is 10.
Which postulate or theorem proves the triangles below are congruent?
Answer:
he
Step-by-step explanation:
he
SAS - We have two sides (the small lines indicate this) and the angles across from each other (vertical angles) are congruent. This means the triangles are proven congruent by the SAS Congruence Postulate.
Knowing this, we can say that AAS and ASA also apply, but as it is not known until we have SAS, I believe SAS is the only "correct" answer.
(HL does not apply here as we do not have right-triangles)
Have a nice day! :)
please answer this quickly
Answer:
its C
Step-by-step explanation:
Answer:
The equation is: 5(x+9) = 55
This basically means that five times the quantity x+9 is equal to 55.
Let me know if this helps!
triangle EFG has vertices at E(4,7) F(2,-7) and G(-6,-3). Prove that triangle EFG is.isosceles
Step-by-step explanation:
fyp :)
Please help me! Show all work possible please. Question is n image. Thank you!
Answer:
The higher degree polynomial is given by (x - 2)(x - 5)(x - √3) = x^3 - 7x^2 + 17x - 10√3.
Step-by-step explanation:
The higher degree polynomial is a polynomial with three terms, each corresponding to one of the given roots. For example, the second term -7x^2 indicates the root 2 since (x-2)^2 = x^2 - 4x + 4 and the coefficient of x^2 is -4. Similarly for the other roots, 5 and √3, the corresponding terms are 17x and -10√3 respectively.
•Sequences and functions
( 10 points )
Please help me loves with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
a wooden artifact from an ancient temple has a 14c activity of 38.0 counts per minute as compared with an activity of 58.2 counts per minute for a standard at zero age. the half-life of 14c is 5715 years. what is the age of the artifact?
The age of the artifact is 3523.77 years.
What is radioactive decay?
The process of radioactive decay is how an unstable atomic nucleus loses energy through radiation. A substance that has unstable nuclei is regarded as radioactive.
Here,
The half-life of the reaction is defined as the time required by a substance to reach half its initial concentration. It is represented by t(1/2)
All radioactive decay processes follow the first-order reaction.
The equation for the half-life for first-order reaction follows:
t(1/2) = 0.693/k....(1)
where,
k = rate constant of a first-order reaction
Given value:
t(1/2) = 5715 years
Put the value of t in equation (1), and we get
k = 0.693/5715
k = 1.21×10⁻⁴yr
The integrated rate law expression for first-order reaction follows:
t = 2.303/k×㏒(a/(a-x))
where,
t = time period
a = initial concentration of the reactant = 58.2 counts per minute
(a-x) = Concentration of reactant left after time t = 38.0 counts per minute
k = rate constant of a first-order reaction
Put the values in the equation and we get
t = 2.303/1.21×10⁻⁴㏒58.2/38
t = 3523.77 years.
Hence, the age of the artifact is 3523.77 years.
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An English teacher has equal numbers of fiction, literature, and poetry books. Each day, she randomly selects one book to read from. She designs a simulation to estimate the probability that the next three books she selects are all literature. Which simulation design could she use to estimate the probability?
Using probability concepts, it is found that she could use a binomial distribution with \(n = 3\) and \(p = \frac{1}{3}\) to estimate the probability that the next three books she selects are all literature.
For each book she selects, there are only two possible outcomes, either it is a literature book, or it is not. The probability of a book selected being a literature book is independent of any other book, hence, the binomial distribution is used to solve this question.
Binomial probability distribution\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
Next three books selected, hence \(n = 3\).She has an equal number of fiction, literature, and poetry books, hence, the probability of each book selected being a literature book is \(p = \frac{1}{3}\)Hence, she could use a binomial distribution with \(n = 3\) and \(p = \frac{1}{3}\) to estimate the probability that the next three books she selects are all literature.
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Answer:
Number Cube
Let 1, 6= Literature
Let 2, 4= Fiction
Let 3, 5= Poetry
Roll the cube 3 times, Repeat
It has to be equal probability for all three
solve the following proportion? 5/10 = 8/w
Answer:
Step-by-step explanation:
solve the following proportion?
5/10 = 8/w
5 : 10 = 8 : w
w = (10 * 8) : 5
w = 80 : 5
w = 16
----------------------
check
5 : 10 = 8 : 16
0.5 = 0.5
The answer is good
1a. Suppose the demand for a product is given by D(p) = 7p+ 129.
A) Calculate the elasticity of demand at a price of $5. Elasticity = ___(Round to three decimal places.)
B) At what price do you have unit elasticity? (Round your answer to the nearest penny.) Price = ___$
1b. Given the demand function D(p)=√150 - 4p,
Find the Elasticity of Demand at a price of $26 ____
An investment of $8,300 which earns 10.9% per year has continuously compounded interest. How fast will it be growing at year 7? Answer:____ $/year (nearest $1/year)
We are given demand functions for two different products and asked to calculate the elasticity of demand and growth rate at specific prices and time periods.
A) For the demand function D(p) = 7p + 129, we can calculate the elasticity of demand at a price of $5. The formula for elasticity of demand is given by E(p) = (D'(p) * p) / D(p), where D'(p) represents the derivative of the demand function with respect to price. By differentiating D(p) = 7p + 129, we find D'(p) = 7. Substituting the values into the elasticity formula, we get E(5) = (7 * 5) / (7(5) + 129). Calculating this expression gives us the elasticity of demand at $5.
B) To find the price at which we have unit elasticity, we set E(p) equal to 1 and solve for p. Using the same elasticity formula and demand function, we can solve the equation (7 * p) / (7p + 129) = 1 for p. This will give us the price at which the elasticity of demand is equal to 1.
1b) For the demand function D(p) = √150 - 4p, we can calculate the elasticity of demand at a price of $26 using the same formula and procedure as described above.
For the investment with continuously compounded interest, we can use the formula A(t) = P * e^(rt) to calculate the growth rate at year 7. Here, P represents the initial investment, r is the interest rate, and t is the time period. By plugging in the given values and solving for the growth rate, we can determine how fast the investment will be growing at year 7.
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Elouise finds a woodlouse that is 8 mm long. When she views it under the microscope it
appears 12 cm long.
What is the magnification?
Answer:
Step-by-step explanation:
This can be solved by taking X as the magnification
8*x = 12cm *10
x= 120/8
x= 30/2= 15
the magnification = 15 times
If mTUV = 9x + 1, and mTUW = 7x - 15, and mWUV = 5x - 11, find the x pls help I will make u Brian list plsssssss
Answer:
the value of x in this problem is 9
Please help I don't know how to do this
i not sure but i think its 183
Answer:
question 18 asking for a equation for each week 89÷4
question 19 would be 60 + 123 = 183 then 183 ÷ 4 = 45.75
A wedding reception venue advertises all inclusive venue hire and catering cost of 6950 for 50 guests and 11950 for 100 guests assume the cost of the venue hire and catering for n guests form an arithmetic sequence: write a formula for the general term of the sequence
It says 1950+100n as the answer but Im not sure how to get there
The correct formula for the general term of the arithmetic sequence representing the cost of the venue hire and catering for n guests is 1950 + 100n.
To find the formula for the general term of the arithmetic sequence representing the cost of the venue hire and catering for n guests, we can analyze the given information.
We are given two data points: the cost for 50 guests, which is $6,950, and the cost for 100 guests, which is $11,950. We can observe that the difference between these two costs is $11,950 - $6,950 = $5,000.
Since the cost forms an arithmetic sequence, the difference between consecutive terms will remain constant. In this case, the difference is $5,000.
Now, we need to find the initial term of the sequence. By examining the cost for 50 guests, we notice that the difference between the cost for 50 guests and the initial term is $6,950 - $5,000 = $1,950.
Putting it all together, we have the formula for the general term of the arithmetic sequence: initial term + (difference × (n - 1)).
Plugging in the values, the formula becomes: 1,950 + (5,000 × (n - 1)) = 1,950 + 5,000n - 5,000 = 5,000n - 3,050. Simplifying further, we get the final formula: 5,000n - 3,050.
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A Ph.D. engineer starting his career in 1970 at a salary of $16.000(yr)-¹, retired in 2000 at a salary of $80,000(yr). How well did his salary keep up with an inflation rate of 5% per year? (c) Tuition increases at major private universities in the United States have led infla- tion rates by about 3% per year. Use this observation to suggest strategies for paying the future tuition for a child at a private university. Assume no financial aid, an annual inflation rate of 5% per year, and a current tuition of $25,000(yr) Recall the compound interest formula: C(1₂2) = (1 + i)^-" C(1₁) | +i)2¬/ where C can be cost, salary, etc., and to indicate times, and i is a rate (inflation, interest, etc.) expressed as a decimal.
The salary of the Ph.D. engineer did not keep up well with an inflation rate of 5% per year.
The main answer should not be more than three lines and less than one line.
In the detailed explanation, it is important to calculate the salary increase over the 30-year period using the compound interest formula. The formula is C(1₂2) = (1 + i)^n C(1₁), where C is the initial salary, i is the inflation rate expressed as a decimal, and n is the number of years. By plugging in the values, we can calculate that the salary at retirement should have been $47,281.55 if it had kept up with the 5% inflation rate. Therefore, the salary did not keep up well with inflation.
To pay for future tuition at a private university, it is important to consider the annual inflation rate and the current tuition cost. Using the same compound interest formula, we can calculate the future tuition cost. By plugging in the values of an annual inflation rate of 5%, a current tuition of $25,000, and a desired future year, we can determine the estimated future tuition cost. This information can help parents or students plan and save for the increasing tuition expenses, potentially by setting up a college savings account or investing in a tuition reimbursement plan.
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