For both vendors, we need to obtain the price for an ear of corn to determine which bag is a better deal.
For the first vendor, we can obtain the cost of an ear of corn by dividing the price by the ears of corn, as follows:
\(\begin{gathered} \frac{2.56}{8}=0.32 \\ 0.32\text{ per ear of corn} \end{gathered}\)As for the second vendor, we need to do exactly the same calculation:
\(\begin{gathered} \frac{4.32}{12}=0.36 \\ 0.36\text{ per ear of corn} \end{gathered}\)Therefore, the better deal is the bag being sold by the first vendor
Which of the following shows the simplified form of sine of x over the quantity 1 minus cosine of x end quantity question mark 1 sin x + tan x sin x + cot x csc x + cot x
Given:
\(\frac{\sin x}{1-\cos x}\)\(\begin{gathered} \frac{\sin x}{1-\cos x}=\frac{\sin x}{1-\cos x}\times\frac{1+\cos x}{1+\cos x} \\ =\frac{\sin x+\text{sinx cosx}}{1-cos^2x} \\ =\frac{\sin x+\text{sinx cosx}}{\sin ^2x} \\ =\frac{1}{\sin x}+\frac{\cos x}{\sin x} \\ =\csc x+\cot x \end{gathered}\)If a certain number x is multiplied by 6
It will be equal to four less than twice
the same number?
Answer: x= -1
Step-by-step explanation: 6x = 2x-4 4x= -4 and x=-1
From the given statement the unknown number is found to be - 1
The given statements can written in algebraic form as follows;
the unknown number = x
the number is multiplied by 6 = 6x
four less than twice the same number = 2x - 4
then, from the given statement the final equation equation becomes;
6x = 2x - 4
This unknown number can be solved by collecting similar terms together;
6x - 2x = -4
4x = -4
divide through by 4
\(\frac{4x}{4} = \frac{-4}{4} \\\\x = -1\)
Thus, the unknown number is - 1
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Answer Quick! A circular swimming pool has a diameter of the 26 feet. What is the area of the swimming pool? Use 3.14 to approximate for π. Enter your answer, as a decimal rounded to the nearest tenth, in the box.
Answer:
Area = π(13^2) = 169π = 530.9 ft^2
Since 3.14 is used for π,
Area = 3.14(13^2) = 530.7 ft^2
2.48925 C : 3.9901 H : 1.000 O
The ratio does not give whole
numbers, so we have to use a
multiplier. What can we multiply each element by in order to have them all reach the smallest whole number?
multiply by [?]
Hint: The multiplier should be a whole number.
Answer: its 2
Step-by-step explanation:
f(x) = -3x³ + x² - 3, find f(1).
Answer:
Step-by-step explanation:
hello :
f(x) = -3x³ + x² - 3, find f(1).
f(1) = -3(1)³ +(1)² - 3=-3+1+3 = -5
The Mills family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
gallons per day
Answer:
1/6 gallons per day
Step-by-step explanation:
1/2 gallon every 3 days.
1/2/3=3/3
1/2/3=1
1/2*3
or 1/6
so 1/6 gallons per day
Hope this helps plz hit the crown :D
Find the difference: 500,000 - 184,875
Answer:
315,125
Step-by-step explanation:
A fish starts at -9m and changes at 11m
Answer:
I don't really know what you were asking
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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What is the scale factor from ABC to DEF?
A. 5 B. 1 C. 0 D. 10
Answer:
b
Step-by-step explanation:
they both have 5 so we divide 5/5 and we get one.
Answer:
B. 1
Step-by-step explanation:
A group of pupils calculated their average score for a Mathematics
test. If one of them scored 9 marks more, their average score would
be 81. If one of them scored 3 marks less, their average score would
be 78. How many pupils were there in the group?
Answer: 4
Step-by-step explanation: +9-(-3)=12
81-78=3
so 12/3=4
CALC
PLEASE HELP!!
A chemical substance has a decay rate of 8.8% per day. The rate of change of an
dN
amount N of the chemical after t days is given by = -0.088N
dt
(i) Let No represent the amount of the substance present at to. Find the exponential function
that models the decay.
(ii) Suppose that 400g of the substance is present at to. How much will remain after 3 days?
(iii) What is the rate of change of the amount of the substance after 3 days?
(iv) After how many days will half of the original 400 g of the substance remain?
A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.
What is the chemical substance has a decay rate?(i) The exponential function that models the decay of the substance is given by:
\(N(t) = Noe^(-0.088t)\)
(ii) If \(400g\) of the substance is present at to, then \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:
\(N(3) = 400e^(-0.0883) = 309.21g\) (rounded to two decimal places)
(iii) The rate of change of the amount of the substance after 3 days is given by:
\(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)
(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:
\(N(t) = 0.5No\)
\(0.5No = Noe^(-0.088t)\)
\(0.5 = e^(-0.088t)\)
\(ln(0.5) = -0.088t\)
\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)
Therefore, after \(7.89\) days, half of the original \(400g\) of the substance will remain.
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The bill at a restaurant is $160. You leave a 20% tip. What is your total
restaurant bill, including the tip?
2x + 3y = 15x - 3y = 3
When we have two equations and two variables, we have a system of equations. To solve it we first need to manipulate and combine both equations in such a way that one of them contains only one variable. This can be through many means, by multiplying one equation by a constant in such a way that when both equations are added one variable gets canceled or by isolating one variable in one equation and using that value on the other.
In this case there is no need for any manipulation, because the variable "y" is "+3y" on the first equation and "-3y" on the second one. This means that if we add both, the "y" variable will be canceled. This is done below:
\(\begin{gathered} \left\{ \begin{aligned}2x+3y=15 \\ x-3y=3\end{aligned}\right. \\ \end{gathered}\)Adding both equations:
\(\begin{gathered} 2x\text{ + x +3y -3y = 15 + 3} \\ 3x\text{ = 18} \\ x\text{ = }\frac{18}{3} \\ x\text{ = 6} \end{gathered}\)We now use the calculated value for "x" in either equation to find y. We'll use the second equation.
\(\begin{gathered} 6\text{ - 3y = 3} \\ -3y\text{ = 3 - 6} \\ -3y\text{ = -3} \\ y\text{ = }\frac{-3}{-3}\text{ = 1} \end{gathered}\)The answer to this system is x= 6 and y = 1.
how many different 12 member teams can be chosen from a pool of 32 people
Answer:
Step-by-step explanation:
32 choose 12
\(\frac{32!}{(32-12)!*12!}\)=225792840
Answer:
P(12,32) = 32!/20!12!
= 2257928402
Hope it helps you
Abu solved 231 multiplication problems. Later, he also solved 131 divison problems. How many more multiplication problems than divison problems did Abu solve?
Answer:
Easy! Abu solved 100 multiplication problems more than division problems
Step-by-step explanation: Just take 231 - 131 = 100 :D
15. Kate has 63 pens. She gives all the pens to her 9 friends. Each friend gets
the same number of pens.
Kate said that when she divided the number of pens that each friend got by 9,
the answer was equal to 63. Her friend Margo said that when the number of
pens each friend got was multiplied by 9, the answer was equal to 63.
Which girl is correct? Explain your answer. I will mark as brainlist and vote if you answer
The girl which is correct between kate and her friend Margo is Margo.
The correct answer option is option B
How to multiply?Number of pens Kate has = 63Number of Kate's friends = 9If each friend gets the same number of pens;
Number of pens each friend get = Number of pens Kate has / Number of Kate's friends
= 63 / 9
= 7
Check:
Number of pens each friend get × Number of Kate's friends = Number of pens Kate has
7 × 9 = 63
Therefore, Kate's friend, Margo is correct.
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Work out m and c for the line: y=x-8
m = C =
Step-by-step explanation:
Y=mx+c
From y=x-8, we have
m= 1 and
c= - 8✅
I need help solving this
Given
Radius : 6 cmTo find
Area of the semicirclewe know that
Area of a semicircle = πr²/2Inserting the value of radius
Area of the given semicircle = (3.14 x 6cm x 6cm)/2 Area of the given semicircle = 113.04cm²/2 Area of the given semicircle = 56.5 cm²evaluate the expression. 1.25*0.9-1.25*0.3+1.25*0.4
The expression when evaluated is 1.25
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
1.25*0.9-1.25*0.3+1.25*0.4
Evaluate the products in the expression
So, we have the following representation
1.25*0.9-1.25*0.3+1.25*0.4 = 1.125 - 0.375 + 0.5
Evaluate the like terms
1.25*0.9-1.25*0.3+1.25*0.4 = 1.25
Hence the solution is 1.25
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A triangle is formed with side lengths of 7 inches, 24 inches, and 25 inches. is the triangle a right triangle?
Answer:
yes.
and here are some other words bc it needs to be longer than one word.
Answer:
Step-by-step explanation:
Which of the following shows the correct solution steps and solution to 2×+ 7 = -11?
Answer:
x = - 9
Step-by-step explanation:
2x + 7 = - 11 ( subtract 7 from both sides )
2x = - 18 ( divide both sides by 2 )
x = - 9
The answer is:
x = -9
Work/explanation:
The point of equations is to find the variable's value by isolating it step-by-step.
For this equation, the variable is x.
To isolate it, I will perform a few operations.
First, I will subtract 7 from each side:
\(\sf{2x+7=-11}\)
\(\sf{2x=-11-7}\)
\(\sf{2x=-18}\)
Divide each side by 2
\(\sf{x=-9}\)
Hence, x = -9.
\(\rule{350}{4}\)
3. What is the volume of this complex figure?
3 m
4 m
6m
4 m
7m
Answer:
27,64,216,64,243
Step-by-step explanation:
Any number raise to power 3
Graph: y > 6
Is (-2,7) a solution? yes or no
Is ( 2,6) a solution? yes or no
Answer:(-2,7) is a yes
(2,6) is no pls mark brainiest
Step-by-step explanation: did a question like this and i mastered this subject
Please help I been stuck on this question for so long
Answer: 1/ 3 ^9
Step-by-step explanation:
Answer:
1/39
Step-by-step explanation:
3-9=1/39
The answer is 0ne over three exponent nine
In the figure, QN¯¯¯¯¯¯¯¯ is the perpendicular bisector of LM¯¯¯¯¯¯¯¯¯ . A triangle L M P with a perpendicular bisector Q N passing through point P. Which of the following can be used to prove that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯? Responses First, state that PL¯¯¯¯¯¯¯≅PM¯¯¯¯¯¯¯¯¯ by the definition of a perpendicular bisector. Second, state that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯ because of the definition of congruence. First, state that line segment cap p liters is congruent to line segment cap p cap m by the definition of a perpendicular bisector. Second, state that point P is equidistant from the endpoints of line segment cap l cap m because of the definition of congruence. First, state that PL¯¯¯¯¯¯¯≅PM¯¯¯¯¯¯¯¯¯ because corresponding parts of congruent triangles are congruent. Second, state that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯ because of the definition of congruence. First, state that line segment cap p liters is congruent to line segment cap p cap m because corresponding parts of congruent triangles are congruent. Second, state that point P is equidistant from the endpoints of line segment cap l cap m because of the definition of congruence. First, prove that △LNP≅△MNP by the side-side-side theorem. Second, prove that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯ by showing that PL¯¯¯¯¯¯¯≅PM¯¯¯¯¯¯¯¯¯ because corresponding parts of congruent triangles are congruent. First, prove that △LNP≅△MNP by the side-side-side theorem. Second, prove that point P is equidistant from the endpoints of line segment cap l cap m by showing that line segment cap p liters is congruent to line segment cap p cap m because corresponding parts of congruent triangles are congruent. First, prove that △LNP≅△MNP by the side-angle-side theorem. Second, prove that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯ by showing that PL¯¯¯¯¯¯¯≅PM¯¯¯¯¯¯¯¯¯ because corresponding parts of congruent triangles are congruent. First, prove th
Using R-Studio, load HardyWeinberg package and find the MLE of M
allele in 206th row of Mourant dataset.
Here is the code that can be used to find the MLE of M allele in the 206th row of Mourant dataset using the HardyWeinberg package in R:
# Load HardyWeinberg package
library(HardyWeinberg)
# Load Mourant dataset
data(Mourant)
# Extract the genotype counts for the 206th row
counts <- Mourant[206, 2:4]
# Calculate the MLE of M allele frequency
mle <- hw_mle(counts)
# Extract the MLE of M allele frequency
mle_M <- mle$p[2]
Note that the code assumes that the Mourant dataset is already installed and loaded in R. If the dataset is not installed, you can install it by running install.packages("HardyWeinberg") in R.
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Suppose 100 children were killed by guns in 1950. If the original statement is true, about how many
children were killed by guns in 1995?
children
Using an exponential function, it is found that if the original statement is true, \(3.52 \times 10^{15}\) children were killed by guns in 1995.
Exponential function:An increasing exponential function is modeled by:
\(A(t) = A(0)(1 + r)^t\)
In which:
A(0) is the initial value. r is the increase rate, as a decimal.In this problem:
Researching on the internet, the original problem states that the number of children killed by guns has doubled each year since 1950, hence there is an increase of 100% every year, that is, \(r = 1\).100 children were killed by guns in 1950, hence \(A(0) = 100\).Then:
\(A(t) = A(0)(1 + r)^t\)
\(A(t) = 100(1 + 1)^t\)
\(A(t) = 100(2)^t\)
1995 is 45 years after 1950, hence:
\(A(45) = 100(2)^{45} = 3.52 \times 10^{15}\)
If the original statement is true, \(3.52 \times 10^{15}\) children were killed by guns in 1995.
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what expression is equivelent to 4x-10/2
Answer:
4x-5
Step-by-step explanation:
Need help placing in correct spot
The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.
Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.
Hence,
∠3 = 180 - 62 = 118 degrees(angles on a straight line)
∠1 ≅ ∠3 (vertically opposite angles)
∠7 ≅ ∠3 (alternate interior angles)
∠5 ≅ ∠7 (vertically opposite angles)
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