Wednesday
A small package of 12 pencils costs $2.04. A large package of 60 pencils costs $9.60. Which is a
better deal? How do you know?
You can use a calculator but you must show your work and explain your thinking.
Answer:
60 pencil
Step-by-step explanation:
60 divided by 12 is 5
5 times $2.04= 10.2
so if you buy the 12 pack you would be spending more money!
Please help me, thank you :)
Answer:
14+14 + 4pi= 28 + 4pi
\(\pi\)
I have this quiz to finish and I need help
Answer:
The correct answer is 1/42x^5.
Step-by-step explanation:
7 • 6 = 42
-8 + 6 = -5 (When multiplying, you must add the exponents.)
= 42x^(-5) (To remove the negative sign, switch it to a fraction.)
= 1/42x^5
1. Find the volume of a sphere with a radius of 10 inches. Use 3.14 for pi.
Answer:\(1256in^{2}\)
Step-by-step explanation:
The formula to find the radius of a sphere is \(4(pi)r^{2}\)
3.14*4*100=1256
I hope this helped
If z is directly proportional to the product of x and y and if z is 10 when x is 4 and y is 5, then x, y, and z are related by the equation
The equation relating x, y, and z is:
z = 0.5 * x * y.
In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.
To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.
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Given that ABCD is a rhombus. Prove that
Answer:
prove what when u edit i will
Step-by-step explanation:
reply
What is the y-value of the solution to the system of equations {3x+4y=4 and 2x−4y=6?
Answer: y = -1/2
Step-by-step explanation:
Use the elimination method. When setting the equations up, you can see that the y values already cancel out. This makes it easy to find the x value.
3x+4y=4 3x+4y=4
2x-4y=6 -----> (-) 2x-4y=6
For the x value, you would get 2. 5x=10 therefore x=2.
Now that you have your x value, choose one of the original equations(either works). I chose 3x+4y=4. Now, substitute 2 into the x value then solve your equation for the y-value.
3x+4y=4 ---> 3(2)+4y=4
3(2)+4y=4 then becomes 4y=-2 and when you isolate the variable, you get -1/2.
Find the value of x.
Answer:
x = 25
Step-by-step explanation:
One can use the Line Tangent to a Circle theorem to solve this problem. The Line Tangent to a Circle theorem states that when two non-parallel lines are tangent to a circle (the lines touch the circle at a single point), then the distance between the intersection point and the point of tangency is the same for both lines. This theorem does go by other names, but the actual theorem content is the same.
Using this one can form the equation;
BA = CA
Substitute,
2x + 3 = 53
Inverse operations,
2x + 3 = 53
-3 -3
2x = 50
/2 /2
x = 25
How many bananas are needed to make the third scale balance?
?
Scale 1 ( 10 bananas / 2 pinapples) Scale 2 ( 1 pineapple / 2 bananas 1 apple) Scale 3 ( 1 apple / ?
The number of bananas required to make the third scale balance is 3.
What is a scale?A scale is a tool used for weighting objects. If the objects on each side weigh the same the scale is balanced. Based on this, let's determine the possible weight of each fruit to balance the last scale.
Scale 1 (10 bananas/ 2 pineapples)It is known 10 bananas weigh as much as 2 apples, but to solve this problem let's assume 10 bananas weigh a total of 1000 grams.
10 banans = 1000 grams = each banana weighs 100 grams2 pineapples = 1000 grams = each pineapple weighs 500 gramsScale 2 ( 1 pineapple / 2 bananas, 1 apple)
Using the same imaginary weights let's find the weight of the apple.
1 pineapple = 500 grams2 bananas = 200 grams1 apple = 300 grams (500 - 200 = 300)Scale 3 (1 apple /x )
We know 1 apple is equal to 300 grams and 1 banana is equal to 100 grams. Based on this, the number of bananas to balance the scale is 3.
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The conversion of a temperature from Celsius to Fahrenheit is represented by the expression below, where C is the temperature in degrees Celsius. Use the expression to find the Fahrenheit temperature equivalent to 15° C.
The expression to convert celcius to Fahrenheit isn't given.
Answer:
59°F
Step-by-step explanation:
However, the expression required for the conversion is :
Temperature (°F) = [Temperature (°C) * 1.8] + 32
Therefore, using the expression, we can convert a celcius temperature of 15°C to Fahrenheit ;
Temperature (°F) = (15 * 1.8) + 32
Temperature °F = 27 + 32
Temperature °F = 59°F
Triangle J K L is shifted 2 units up and 3 units to the left to form triangle J prime K prime L prime.
Identify the translation from the pre-image, triangle JKL, to the image, triangle J'K'L'.
The pre-image moved horizontally
.
The pre-image moved horizontally
units.
The pre-image moved vertically
.
The pre-image moved vertically
units.
Answer:
1st one is, Left
2nd one is, 3
3rd one is, Up
4th one is, 2
Step-by-step explanation:
The pre-image moved horizontally
✔ left
.
The pre-image moved horizontally
✔ 3
units.
The pre-image moved vertically
✔ up
.
The pre-image moved vertically
✔ 2
units.
Left 3,
3rd one is up.
4th one is 2.
You're Welcome!
Write a quadratic given a vertex (11,2) and a point (9,3)
The equation of a quadratic equation with a vertex and a point is
y = 1/4 (x - 11)² + 2
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 6 is an equation.
We have,
Vertex = (11, 2)
Point = (9, 3)
The equation of a quadratic equation with a vertex and a point is
y = a (x - h)² + k
Where (h, k) is the vertex and (x, y) is the point.
Now,
(11, 2) = (h, k)
(9, 3) = (x, y)
Substitute.
y = a (x - h)² + k
3 = a (9 - 11)² + 2
3 = a x 4 + 2
3 = 4a + 2
3 - 2 = 4a
a = 1/4
Now,
The equation of a quadratic equation is y = 1/4 (x - 11)² + 2.
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Which of the number(s) below are potential roots of the function? p(x) = x4 + 22x2 – 16x – 12
Complete question is;
Which of the number(s) below are potential roots of the function? p(x) = x⁴ + 22x² – 16x – 12
A) ±6
B) ±1
C) ±3
D) ±8
Answer:
Options A, B & C: ±6, ±1, ±3
Step-by-step explanation:
We are given the polynomial;
p(x) = x⁴ + 22x² – 16x – 12
Now, the potential roots will be all the rational numbers equivalent of p/q.
Where;
p are the factors of the constant term of the polynomial
q are the factors of the leading coefficient of the polynomial
Now, in the given polynomial, the constant term is seen as -12 while leading coefficient is 1 which is the coefficient of x⁴.
We know that factors of 12 are any of:
±1, ±2, ±3, ±4, ±6 and ±12
While possible factors of 1 is just ±1.
Thus, all the potential roots of the polynomial function are;
±1, ±2, ±3, ±4, ±6 and ±12
From the options given, option A, B & C could be the potential roots.
Answer:
6, 1,3 ACE
Step-by-step explanation:
Write the quadratic equation in standard form:-4x – 19 = x2
Answer:
x^(2)-4x-19=0
Step-by-step explanation:
trust me
Select all solutions for the equation (3x + 5)(2x + 8) = 0
Answer:
Step-by-step explanation:
bulldozer could carry one-fifth of a ton of sand. If a park needed's tons of
sand, how many loads would the bulldozer need to carry?
Find the area of the triangle
Answer:
32
Step-by-step explanation:
because the formula if a triangle is base times height divided by 2 which is 16x4÷2=32
darwin's geometric ratio of increase pertains specifically to
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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Simplify the quantity negative 7 times a to the 3rd power times b to the negative 3 power end quantity divided by the quantity 21 times a times b end quantity.
The simplified form of the expression \((-7a^3b^{-3})\) / (21ab) is \((-a^2) / (3b^3),\) removing negative exponents and canceling out common factors.
To simplify the given expression, let's break it down step by step.
The expression is:
\((-7a^3b^{-3}) / (21ab)\)
First, we can simplify the numerator by applying the exponent rules.
The negative exponent in the numerator can be rewritten as a positive exponent in the denominator:
\((-7a^3) / (21ab^3)\)
Next, we can simplify the fraction by canceling out common factors in the numerator and denominator. In this case, we can cancel out the common factor of 7:
\((-a^3) / (3ab^3)\)
Now, we can simplify the remaining terms by canceling out the common factor of 'a':
\((-a^2) / (3b^3)\)
Finally, we have simplified the expression to \((-a^2) / (3b^3)\).
In this simplified form, the expression no longer contains negative exponents or common factors in the numerator and denominator.
To summarize, the simplified form of the expression \((-7a^3b^{-3}) / (21ab)\) is \((-a^2) / (3b^3).\)
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X=
////////////////////////
Answer: \(x=90\)
Step-by-step explanation:
Using the alternate exterior angles theorem,
\(180-x=x\\\\180=2x\\\\x=90\)
Both (E)- and (Z)-hex-3-ene can be treated with D2 in the presence of a platinum catalyst. How are the products from these two reactions related to each other?a. The (E)- and (Z)-isomers generate the same products but in differing amounts.b. The (E)- and (Z)-isomers generate the same products in exactly the same amounts.The products of the two isomers are related as constitutional isomers.The products of the two isomers are related as diastereomers.The products of the two isomers are related as enantiomers.
The products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 in the presence of a platinum catalyst are related as enantiomers.
Hence, the correct option is E.
Enantiomers are stereoisomers that are non-superimposable mirror images of each other. In this case, the (E)- and (Z)-isomers have different spatial arrangements around the C=C double bond. When they react with D2 in the presence of a platinum catalyst, the deuterium atoms add to the double bond, resulting in two new chiral centers.
Since the two isomers have different spatial arrangements around the double bond, the addition of deuterium atoms will produce enantiomeric products. Therefore, the products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 are related as enantiomers.
Hence, the correct option is E.
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Which table represents a function?
Group of answer choices
Answer: The answer is C
Step-by-step explanation: If you look at the x’s it is the only one that doesn’t have x’s repeated
h0: of millennial students at their campus, 36% live at home with their parents. ha: more than 36% of millennial students at their campus live at home with their parents. in order to assess the evidence, which question best describes what we need to determine?
The best question to determine the evidence for the given hypotheses is "If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be more than 36%?" so, the correct option is D).
This question directly relates to the alternative hypothesis which states that the proportion of millennial students living at home with their parents is more than 36%.
Therefore, we need to determine the probability of observing a proportion of 36% or higher in a sample of 300 students if the true proportion is actually 36%.
So, the correct answer is D).
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--The given question is incomplete, the complete question is given
" Question 3 Select one answer Living with parents: The Pew Research Center reported that 36% of American Mille nnials (adults ages 18-31) still live at home with their parents. 10 points A group of students wants to conduct a study to determine whether this result is true for students at their campus. They survey 300 randomly selected students at their campus and determine that 43% of them live at home with their parents. With this data, they test the following hypotheses H o: Of Mille nnial students at their campus, 36% live at home with their parents. Ha: More than 36% of Millennial students at their campus live at home with their parents In order to assess the evidence, which question best describes what we need to determine?
A. If we examine a sample of students at their campus and determine the proportion who still live at home with their parents, how likely is that proportion to be 36%?
B. If we examine a sample of students at their campus and determine the proportion who still live at home with their parents, how likely is that proportion to be 43% or more?
C. If we examine the proportion of students at their campus who still live at home with their parents, still live at home with their how likely is that proportion to be more than 36%?
D. IF if we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be 36%?
E. If we examine the proportion of students at their campus who still live at home with their still live at home with their parents, how likely is that proportion to be 43%?"--
Consider the following two points on two curves:
I. (0,0) on f(x) = x^2
II. (0,0) on g(x) = x^4
Which of these are inflection points?
A) I only
B) II only
C) Both I and II
D) Neither I nor II
The point (0,0) is an inflection point for the curve g(x) = x^4, but not for the curve f(x) = x^2. So the answer is B, an inflection point is a point on a curve where the concavity of the curve changes.
The second derivative of a function can be used to determine whether a point is an inflection point.
If the second derivative is positive at a point, then the curve is concave up at that point. If the second derivative is negative at a point, then the curve is concave down at that point.
The second derivative of f(x) = x^2 is 2x. The second derivative of g(x) = x^4 is 12x^2. The second derivative of f(x) = x^2 is equal to 0 at x = 0, but the second derivative of g(x) = x^4 is positive at x = 0.
Therefore, the point (0,0) is an inflection point for the curve g(x) = x^4, but not for the curve f(x) = x^2.
Here is a graph of the two curves:
[Graph of the curves f(x) = x^2 and g(x) = x^4]
As you can see, the graph of g(x) = x^4 changes concavity at the point (0,0). The graph of f(x) = x^2 does not change concavity at the point (0,0).
Therefore, the point (0,0) is an inflection point for the curve g(x) = x^4, but not for the curve f(x) = x^2. So the answer is B.
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What is the value of n in the equation (2n + 4) + 6 = -9 + 4(2n
+
1)?
(Edulastic)
Answer:
5/2
Step-by-step explanation:
(2n+4)+6=-9+4(2n+1)
2n+4+6=-9+8n+4
2n+10=-9+8n+4
2n-8n=-9+4-10
-6n=-5-10
-6n=-15
6n=15
n=15/6
simplify
n=5/2
18 more than twice a number is 8
Answer:
-5
Step-by-step explanation:
-5 times 2 is -10 plus 18 is 8
SOMEONE HELP ME PLS
Find the indicated angle. (What is ?)
What is the average rate of change for the wages earned between 12 and 30 hours
Number of Hours Wages
12 $675.00
15 $843.75
23 $1,293.75
30 $1,687.50
Answer:
9586
Step-by-step explanation:
Chase is moving and must rent a truck. There is an initial charge of $35 for the rental plus a fee of $2.50 per mile driven. Make a table of values and then write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Chase were to drive m miles.
The required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.
What is the equation?Equation: A declaration that two expressions with variables or integers are equal.
In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.
A formula would be 3x - 5 = 16, for instance.
The equation would be:
C is the total cost and m is the miles driven.
We know that:
Charge of the truck: $35
Charge per mile: $2.50
Then, form the equation as follows:
C = 35 + 2.50m
Therefore, the required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.
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Berkeley Bowl Cherry Tomatoes (for Q6-7) Berkeley Bowl sells cherry tomatoes to local fast food restaurants. The diameter of a tomato is on average 26 mm, with a standard deviation of 3 mm. The upper and lower specifications limits that they are given are, respectively, 32 mm and 20 mm. Q6. What percentage of their tomatoes are within the specification limits? Q7. What should the standard deviation of their process be for their process to be half of the Six Sigma Quality?
Q6: Approximately 68.3% of the cherry tomatoes sold by Berkeley Bowl fall within the specified diameter limits of 20 mm to 32 mm.
Q7: To achieve half of the Six Sigma Quality, the standard deviation of the process should be approximately 0.22 mm for Berkeley Bowl's cherry tomatoes.
In Q6, we can use the concept of the normal distribution to determine the percentage of tomatoes within the specification limits. Since the average diameter is 26 mm and the standard deviation is 3 mm, we can assume a normal distribution and calculate the percentage of tomatoes within one standard deviation of the mean. This corresponds to approximately 68.3% of the tomatoes falling within the specified limits.
In Q7, achieving Six Sigma Quality means that the process has a very low defect rate. In this case, half of the Six Sigma Quality means reducing the variability in diameter to half the acceptable range.
The acceptable range is 32 mm - 20 mm = 12 mm. To achieve half the range, the standard deviation should be approximately half of 12 mm, which is 6 mm. Since the standard deviation is given as 3 mm, the process would need to be improved to reduce the standard deviation to approximately 0.22 mm for it to meet half of the Six Sigma Quality.
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