Answer: 3x-y=8
Step-by-step explanation:
The number y of duckweed fronds in a pond after t days is y=a(1230. 25)t/16, where a is the initial number of fronds. By what percent does the duckweed increase each day? Round your answer to the nearest whole number
The duckweed increases by a percentage each day which is calculated by the equation
(1230.25t/16)/a - 1.
This equation can be further simplified to 1230.25t/16a - 1 and then multiplied by 100 to get a percentage.
So the percentage increase of duckweed each day is calculated by multiplying 1230.25t/16a - 1 by 100.
1230.25t/16a×100
This will give us the percentage of increase each day, rounded to the nearest whole number.
For example, if the initial number of fronds is 1000 and the number of days is 2, the percentage increase of duckweed will be (1230.25(2)/16(1000)) - 1 = 24.6%, rounded to the nearest whole number which is 25%.
Learn more about percentage:
https://brainly.com/question/24877689
#SPJ4
If police and fire are already on an accident scene, how many feet away should you park your ambulance
It is recommended that when an ambulance arrives at an accident scene, it should park a safe distance away from the scene, at least 500 feet away.
This is to ensure the safety of the paramedics and other emergency responders, as well as to ensure that the ambulance does not impede the movement of other emergency vehicles. Additionally, it is also to protect the privacy of the individuals involved in the accident and ensure that the scene is not tampered with.
It is also important to follow any additional instructions given by the police or fire department at the scene, as they may have specific parking instructions based on the situation.
To know more on ambulance
https://brainly.com/question/30011321
#SPJ4
5. An acute triangle has a base of 4 cm and a height of 8 cm. What is the area of the triangle?
32 cm²
12 cm²
16 cm²
64 cm²
Answer:
c) 16 cm²
Step-by-step explanation:
Given information,
→ Base = 4 cm
→ Height = 8 cm
Area of triangle formula,
→ Area = ½ × b × h
Now the area of triangle is,
→ ½ × b × h
→ ½ × 4 × 8
→ 2 × 8
→ 16 cm²
Hence, the area is 16 cm².
(100 points)A catering company offers meal pairings that include an appetizer of either salad or soup and an entree of either chicken or fish. At one event, they serve a total of 78 meals. Of the 46 meals that include salads, 21 also include fish. There are 35 meals with fish as the entree. Determine which two-way frequency table represents this situation. Jk
Two-way table showing meal pairings with frequency of salad, soup, chicken and fish.
Meal Pairing Salad Soup Chicken Fish
Frequency 46. 32. ?. 35
To calculate the frequency of chicken, subtract the frequency of salad and fish from the total of 78 meals.
Frequency of chicken
= 78 - 46 - 35
= 27.
Meal Pairing Salad Soup Chicken Fish
Frequency 46. 32. 27. 35
The total number of meals served is 78. Of the 46 meals that included salads, 21 also included fish. This means that the frequency of fish is 35. The frequency of chicken can be calculated by subtracting the frequency of salad and fish from the total number of meals. The frequency of chicken is 27. The two-way frequency table representing this situation is as follows: Meal Pairing, Salad, Soup, Chicken, Fish; Frequency, 46, 32, 27, 35. This table shows that there were 46 meals with salad, 32 meals with soup, 27 meals with chicken, and 35 meals with fish.
Learn more about Two-way table here
https://brainly.com/question/29766382
#SPJ4
“Theresa’s Transportation” rental car company charges $30 to rent a car and $0.60 per mile for each rental. “Pete’s propulsions” rental car company charges $20 to rent a car and $0.85 per mile. After how many miles will it be more expensive to rent from Pete’s Propulsions than Theresa’s Transportation
On solving the provided question, we got to know that he fraction can bake 200/57 loaves or 3 29/57 loafs.
what is fraction?Mathematically speaking, fractions are represented by integers that indicate a portion of a whole. In the same way that a whole can be any quantity, value, or object, a fraction can be a portion or subset of any quantity of a whole. As an example, let's try to comprehend this idea. The pizza in the picture below is cut into 8 equally sized pieces. The chosen slice of pizza might now be expressed as 1/8 if we wanted to. This indicates that we are talking about one of eight equally sized sections. It denotes a ratio of 1/8. Reading options include: One-eighth, or
1 by 8
13 1/3 divided by 3 4/5
Let's first convert these mixed numbers to incorrect fractions.
13 1/3 = 13(3) + 1 = 39 + 1 = 40/3
3 4/5 = 3(5) + 4= 19/5
Now that we have divided 40/3 by 19/5, we can just switch the operation to multiplication and flip the second fraction because we know how to divide fractions.
40/3 x 5/19 = 200/57
he can bake 200/57 loaves or 3 29/57 loafs.
To know more about fraction visit:
brainly.com/question/10354322
#SPJ1
Isaac's father is 49 years old. He is four years older than three times Isaac's age. How old is Isaac
If Isaac's father is four years older than three times of Isaac's age and the age of father is 49 years old. So, Isaac age will be 15 years old.
How old is Isaac?According to online myth, there is a mathematical equation that regulates the lower bound for a possible dating partner's socially acceptable age: half your age plus 7, or, in mathematical words, if x is your age, the bottom barrier is [tex]f(x) = x/2 + 7[/tex].
Consider Isaac is L
Let us suppose L is x years old.
3 times the age of L = 3x
3 times L’s age plus 4 years = 3x + 4
Furthermore, L’s father’s age is 49 years older than L’s age.
Therefore,
[tex](3x + 4) = (49) (49)\\(3x + 4) -4 = (49) – 4\\3x = 45\\3x/3 = 45/3\\X = 15[/tex]
L’s age is 15 years since we expected L’s age = x (and x=15).
To learn more about Age calculation to refer:
brainly.com/question/15054777
#SPJ4
What is g(4) when given the function g(x) = 6x + 32?
Answer:
The value of g(4) of the given function is 56.
For what value of k the given equation 4 K X² 2k 4 x+ 8k+ 1 0 is a perfect square?
For k=0 or k=3, the given equation will be a perfect square.
Note: we are taking the equation to be: (4−k) X^2+(2k+4) x+8k+1=0
Taking,
(4−k) X2+(2k+4) x+8k+1=0
Here, a=4+k, b=2k+4, c=8k+1
The given equation will be a perfect square, When D= 0
We know, D = b^2−4ac [A perfect square trinomial is an expression that can be generated from the square of a binomial equation. If an equation has the formula ax^2 + bx + c and meets the requirement b^2 = 4ac, it is referred to as a perfect square trinomial. The formula for the perfect square has the following variations: ax2 + 2abx + b2 = (ax + b). When b^2 = 4ac, we know that an equation is a perfect square.]
b2−4ac=0
(2k+4)2−4(4−k) (8k+1) =0
4k2+16+16k−4(32k−8k2+4−k) =0
K2+4+4k−32k+8k2−4+k=0
9k2−27k = 0
K2−3k = 0
k(k−3) =0
k=0 or k=3
Hence for k=0 or k=3, the given equation will be a perfect square.
To know more about Quadratic equation here:
https://brainly.com/question/1863222#
#SPJ4
Suppose we select a simple random sample of size n = 125 from a large population with a proportion p of successes. Let p be the proportion of successes in the sample. For which value of p is it appropriate to use the Normal approximation for the sampling distribution of p?
In order to use the Normal approximation for the sampling distribution of p
the sample should have at least 10 successes and at least 10 failures.
What is sampling distribution?The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or the mode of a variable.
What are statistics?The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
For a sample of size n = 125,
The condition for the sample size to be large enough is that both np and n(1-p) should be greater than or equal to 10. This means that the sample should have at least 10 successes and at least 10 failures. If this condition is met, we can use the Normal approximation for the sampling distribution of p.
To know more about Sampling visit:
https://brainly.com/question/13287171
#SPJ4
Can someone please help me? :(
Step-by-step explanation:
send the pic clearly i will help surely im sorry
What is the solution to the system of linear equations 3x minus 2y equals 14 5x plus y equals 32?
The solution to the system of linear equations is x = 10 and y = 22.
To solve this system of linear equations, we can use the substitution method.
First, we want to isolate one of the variables in either equation. Let's start with equation 1:
3x - 2y = 14
Add 2y to both sides to isolate x:
3x = 14 + 2y
Divide both sides by 3 to solve for x:
x = (14 + 2y) / 3
Now, substitute this expression for x into equation 2:
5x + y = 32
5(14 + 2y) / 3 + y = 32
Simplify:
70 + 10y + y = 32
Combine like terms:
11y = -38
Divide both sides by 11 to solve for y:
y = -38 / 11
y = -3.45454545...
Now, substitute -3.45454545... for y in the expression for x:
x = (14 + 2(-3.45454545...)) / 3
x = (14 - 6.9090909...) / 3
x = 7.09090909... / 3
x = 2.36363636...
x = 2.4 (rounded to nearest tenth)
Now that we have both x and y, the solution to the system of linear equations is x = 2.4 and y = -3.5.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Find the total surface area of a cone of base diameter 7cm and height 8cm
The total surface area of a cone which has a base diameter of 7 cm and height of 8 cm is 126.5 cm ²
How to find the total surface area of a cone ?The total surface area of a cone can be found by the formula :
= (π x radius ²) + (π x radius x height )
Radius is half of diameter so :
= 7 / 2
= 3. 5 cm
The total surface area of the cone is;
= ( π x 3. 5 ²) + ( π x 3. 5 x 8)
= 38 . 5 + 88
= 126.5 cm ²
Find out more on area of a cone at https://brainly.com/question/9955860
#SPJ1
How do you find the endpoint and midpoint?
To find the endpoint we have to calculate the distance between the known midpoint to the known endpoint. To calculate the midpoint we add two points and divide them by 2.
The formula for midpoint = (x1 + x2)/2, (y1 + y2)/2.
Substituting in the two x-coordinates and two y-coordinates from the endpoints.
Putting it together,
The endpoint formula is:
(x a ,ya)= ((2xm−xb),(2ym−yb))
( x a , y a ) = ( ( 2 x m − x b ) , ( 2 y m − y b ) ).
The end of a line at a point that is equally distant from both ends, a time interval between an event's beginning and end.
The point on a graph or figure where the figure stops might be referred to as the endpoint. It can be the point joining the sides of a polygon (the vertex), the common endpoint of two rays making an angle, the two extreme points of a line segment, the one end of a ray.
To learn more about endpoints and midpoints:
https://brainly.com/question/18315903
#SPJ4
at a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. a random sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of P\left(\overline{x}>22\right)\approx0.05P(x>22)≈0.05?
The Normal probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05. In this Question The normal probability distribution and the central limit theorem were used.
What is Normal probability distribution?The most prevalent continuous probability distribution is the Normal (or Gaussian) distribution. As the curve becomes closer to zero on either side of the mean, the function calculates the likelihood that a given event will fall between any two real number limits. The area under the normal curve is always one.
Central limit theorem
The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.
Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.
Mean standard deviation , the z-score of a measure X is given by:
Z = x-μ/σ
Given ,
The distribution of backpack with mean deviation = 19.7 pounds
And the standard deviation = 3.1 pounds
The number of standard deviations is measured by the Z-score. The average is used as the measure.
We glance at the z-score table after determining the Z-score to determine the p-value connected to it.
The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value.
1 is subtracted from the p value.
We calculate the likelihood that the measure exceeds X.
P(ä > 22) is the probability of the sample means being above 22.
For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
To know more about Normal probability visit:
brainly.com/question/26822684
#SPJ4
Determine the missing angle measure.
Answer:
Step-by-step explanation:
Since you already know that one of the angles is 21 degrees, this helps you A LOT. In total the line is 180 degrees so to find x you just do 180-21 which equals 159
x+ 159 degrees
What is math trying to do with me?
seriously
:^
Answer:
1.
Y would equal to 449 after plugging in 12 for x
2.
Y would equal to 239 after plugging 7 in for x
Step-by-step explanation:
We just have to plug in the values give too us and find what y equals.
1.
y=42(12)-55
y=504-55
y=449
2.
y=42x-55
we just have to plug in 7 for x.
y=42(7)-55
42*7=294
y=294-55
y=239
Explain the process how would you estimate the solution of system of equation to the nearest tenth place
The actual solution must be approximated to the tenth place.
How do you solve an equation to the nearest tenth?
To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth place.
To estimate the tenth place, you have to determine the actual solution and the approximate.
Assume the solution to the system of equations is:
(x, y), (1.25, 1)
1.25 is to the hundredth place.
So, the next thing is to approximate 1.25 to 1.3 (the tenth place).
So, we have:
(x, y), (1.3, 1)
Hence, the actual solution must be approximated to the tenth place.
To learn more about the nearest tenth visit,
https://brainly.com/question/2226590
#SPJ4
factor the trinomial 2xsquared + 5x -42
Basic quadratic expression:
[tex]ax^2+bx+c[/tex]
[tex]2x^2+5x-42[/tex]
Factoring a quadratic expression when a ≠ 0
1. Multiply a and c values (ac=k)
[tex]2(-42) = -84[/tex]
2. Find a factor pair whose sum adds to b and has the product of k
[tex]-7,12[/tex]
[tex]-7(12)=-84[/tex] [tex]-7+12=+5[/tex]
3. Replace the middle term (bx) with newfound values
[tex]2x^2 +12x-7x-42[/tex]
4. Factor by grouping
[tex]2x(x+6) -7(x+6)[/tex]
if done correctly the expression in the parentheses will be the same5. Perform the last factorization
[tex](2x-7)(x+6)[/tex]
you can verify your answer by expanding the factors to get the same expression in the beginningDoes a hyperbola have an inverse?
If the circle's center is in one of the foci, the inverse of the hyperbola is a Limaçon with an inner loop.
What is a hyperbola?A hyperbola is a particular kind of smooth curve that lies in a plane and is classified by its geometric characteristics or by equations for which it is the solution set.
A hyperbola is made up of two mirror images of one another that resemble two infinite bows.
These two sections are known as connected components or branches.
The hyperbola's equation is expressed as (y−k)2b2−(x−h)2a2=1.
The transverse axis is defined by b, the conjugate axis by a, and the center is defined by (h,k).
The section of a line that a hyperbola's vertices form.
The inverse of the hyperbola is a Limaçon with an inner loop if the circle's center is in one of the foci.
Therefore, if the circle's center is in one of the foci, the inverse of the hyperbola is a Limaçon with an inner loop.
Know more about a hyperbola here:
https://brainly.com/question/26250569
#SPJ4
An electronics store owner is trying to how much they should try to sell a computer that cost the store $200. They want to increase this price by 25% for the store’s profit and then increase that new price by 15% to account for the sales person’s profit. How much should they sell the computer for?
Answer:
They should sell the computer for $287.50
Step-by-step explanation:
Let's solve the 25% increase first
100% = $200
100% + 25% = 125% = 1.25
200 x 1.25 = $250
Then we find the 15% increase
100% = $250
100% + 15% = 115% = 1.15
250 x 1.15 = $287.50
So, they should sell the computer for $287.50
Find value of c
[tex]48c+ 6 = 408 \div 4[/tex]
Answer:
2
Step-by-step explanation:
408 / 4 = 102
48c + 6 = 102
48c = 102 - 6
48c = 96
c = 96/48
c = 2
Hence, the value of c is 2.
Answer:
[tex] \sf \: c = 2[/tex]
Step-by-step explanation:
Given equation,
→ 48c + 6 = 408 ÷ 4
Now the value of c will be,
→ 48c + 6 = 408 ÷ 4
→ 48c + 6 = 102
→ 48c = 102 - 6
→ c = 96 ÷ 48
→ [ c = 2 ]
Hence, the value of c is 2.
Sidney would like to buy a winter coat with an original price of $44.60. Which coupon should she use?
im 12 and struggling help me please i need my grades up
Answer:
you would multiply 17% by 228,000
Step-by-step explanation:
you would get 177840
10. Find the degree of the monomial. 7m^6n^5
11
6
7
5
Answer:
(a) 11
Step-by-step explanation:
You want the degree of the monomial 7m^6n^5.
DegreeThe degree of a monomial is the sum of the exponents of its variables.
m has an exponent of 6
n has an exponent of 5
The degree is 6+5 = 11.
What is the degree of the polynomial 2x² 5x³ 7 *?
The degree of the polynomial 2x² 5x³ 7 is 5.
The degree of a polynomial is the highest exponent of the variable in the polynomial. In this case, the highest exponent of the variable is 5, which appears in the term 5x³. The degree of a polynomial is a whole number that tells us how many times the variable is multiplied by itself. The degree of the polynomial is 5.
It's worth noting that polynomials can be constant or non-constant, meaning they don't have to have a variable in them, in that case the degree is 0. And also a polynomial with only one term, the degree of that polynomial is the exponent of that term.
In this case, we only have one term with variable x in it, 5x³, and the degree is the exponent of that term which is 5.
Learn more about Polynomials here:
https://brainly.com/question/4142886
#SPJ4
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative one, zero and zero, one. A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative one, zero and zero, one. What is the slope of the line?
The slope of the line on the given coordinate plane is equal to 1.
How to calculate the slope of a line?In Mathematics, the slope of a straight line can be calculated by using this this mathematical expression;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided in the graph, we have the following data points on the line:
Points on x-axis = (-1, 0).
Points on y-axis = (0, 1).
Substituting the given points into the slope formula, we have the following;
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (1 - 0)/(0 - (-1))
Slope, m = 1/(0 + 1)
Slope, m = 1/1
Slope, m = 1
In conclusion, we can logically deduce that the slope of this line is equal to 1.
Read more on slope here: brainly.com/question/1884491
#SPJ1
The piggy bank in the video was filled with pennies and
quarters worth a total of $62. 0.
What are three possible combinations of pennies and
quarters that are worth $62. 00?
Enter your combinations in the table.
Number of Pennies
Number of Quarters
I
The three combinations of pennies and quarters are:
A. 1,560 Pennies and 124 Quarters
B. 2,600 Pennies and 49 Quarters
C. 3,120 Pennies and 24 Quarters
The total value of the pennies and quarters is $62.00. This can be achieved with either 1,560 pennies and 124 quarters (1,560 x 0.01 + 124 x 0.25 = 62.00), 2,600 pennies and 49 quarters (2,600 x 0.01 + 49 x 0.25 = 62.00) or 3,120 pennies and 24 quarters (3,120 x 0.01 + 24 x 0.25 = 62.00).
To find the combinations of pennies and quarters that are worth $62.00, begin by finding the number of pennies that equal $
62.00. 62.00/0.01 = 6,200 pennies.
Next, subtract the value of the pennies from the total to find the value of the quarters.
62.00 - (6,200 x 0.01) = 24.00.
Divide the value of the quarters by 0.25 to find the number of quarters. 24.00/0.25 = 96 quarters.
To arrive at the three combinations
, 1,560 pennies and 124 quarters
(1,560 + 96 = 1,656, 1,656 x 0.01 + 124 x 0.25 = 62.00),
2,600 pennies and 49 quarters
(2,600 + 49 = 2,649, 2,649 x 0.01 + 49 x 0.25 = 62.00)
and
3,120 pennies and 24 quarters
(3,120 + 24 = 3,144, 3,144 x 0.01 + 24 x 0.25 = 62.00).
For more questions like Pennies click the link below:
https://brainly.com/question/29165346
#SPJ4
Larry and Carol are both members of a population, and a simple random sample is being conducted. If the chance of Larry being selected is 1/800, what is the chance of Carol being selected
By simple reasoning, The chance of Carol being selected is 1/800.
What in probability is a random process?A collection of random variables, typically indexed by time, makes up a random process. Here, the process S(t) is an illustration of a continuous-time random process. In general, a random process X(t) is a continuous-time random process if t can take real values in an interval on the real line.
A straightforward random sample is being taken from a population that includes both Larry and Carol.
So both of them have an equal chance of being chosen.
Now, Larry's likelihood of being chosen is 1 in 800.
The likelihood of Carol being chosen is then 1 in 800.
To know more about probability visit:-
brainly.com/question/11234923
#SPJ4
How would the information collected using transect or quadrat sampling differ from the information collected if you had just divided the habitat into quarters and sampled only one of the quarters
I feel that dividing based off actual zoning laws and regulations would provide the best source of data. I feel as such because if you simply devise your own areas, that may make your data incorrect depending on what area a person actually associates with. If you're creating your own area, information could get misconstrued leading to inaccurate conclusions.
Sampling
Sampling means selecting the group that you will actually collect data from in your research.
zoning
Zoning is a method of urban planning in which a municipality or other tier of government divides land into areas called zones, each of which has a set of regulations for new development that differs from other zones.
Learn more about sampling here :-
https://brainly.com/question/14937422
#SPJ4
5.
4.2 cm
4.2 cm
square centimeters
The total area of triangle in square centimeters is 56.7cm squared .The three angles of the triangle add up to 180 degrees.
what is triangle ?The term "trigon" is occasionally (though not frequently) used to refer to a triangle, a 3-sided polygon. Every triangle consists of a set of three angles and three sides, some of which may be the same. The three angles of the triangle add up to 180 degrees. With three sides and three vertices, triangles are a specific type of polygon in geometry. The two-dimensional figure displayed here has three straight sides. A triangle is a type of 3-sided polygon.
here
Area of each triangles is 4.2 x 8.2 or 34.44.
There are two triangles, thus you don't need to divide by two.
In addition, 8.2 is obtained by deducting the top length from the overall length. (13.5-5.3)
rectangle: 22.26 x 5.3
56.7 square meters is the entire area.
To know more about triangle visit :-
https://brainly.com/question/2773823
#SPJ1
The correct question is
What is the area, in square centimeters, of the triangles are?
a) 5.3 cm
b) 4.2 cm
c) 13.5 cm