Answer:
A. 4 1/2
Step-by-step explanation:
To solve this, let's isolate x
6 + (2/3)x = 9 1. Subtract by 6 on both sides
(2/3)x = 3 2. When dividing fractions, think of it as multiplying both sides by the reciprocal of the given fraction
x = (3/2)(3/1)
x = 9/2
x = 4.5
Quincy rides his bicycle 1 mile in 4 minutes, and his sister Marissa runs 13,376 feet in 16 minutes. In miles per hour, approximately how much faster is Quincy than Marissa? (Note: 1 mile = 5, 280 feet) 5.5 miles per hour 7.5 miles per hour 9.5 miles per hour 17.0 miles per hour
Answer: 5.5 miles per hour
Step-by-step explanation:
Quincy rides his bicycle 1 mile in 4 minutes, and his sister Marissa runs 13,376 feet in 16 minutes.
We have to convert 13,376 feet to miles first. We should note that 1 mile = 5280 feet. Therefore 13,376 feet will be:
= 13376/5280
= 2.533 miles
We can then rewrite as:
Quincy rides his bicycle 1 mile in 4 minutes.
Marissa runs 2.533 miles in 16 minutes.
Since Quincy rides his bicycle 1 mile in 4 minutes, in an hour, he'll have rode the bicycle for:
= 60 minutes/ 4 minutes
= 15 miles in 1 hour
Since Marissa runs 2.533 miles in 16 minutes,.in an hour,. she'll have run for:
= 2.533 × 60/16
= 9.5 miles in 1 hour.
Note that: 60 minutes = 1 hour
In miles per hour, approximately how much faster is Quincy than Marissa?
To solve the question, we've talked find the difference between both and this will be:
= 15 miles - 9.5 miles
= 5.5 miles per hour
How many ways can 7 different cans of soup be displayed in a row on ashelf?
Janasia, this is the solution to the exercise:
The answer is 7!. In consequence,
7 * 6 * 5 * 4 * 3 * 2 * 1
42 * 20 * 6
5,040
The cans of soup can be displayed in 5,040 ways in a row on a shelf.
The profit function for a certain commodity is P(x)=160x−x ^2−1000. Find the level of production that yields maximum profit, and find the maximum profit.
Therefore, the level of production that yields the maximum profit is 80 and maximum profit is $5400.
To find the level of production that yields the maximum profit, we need to determine the x-value at which the profit function P(x) reaches its maximum. We can do this by finding the vertex of the quadratic function P(x).
The profit function is given by \(P(x) = 160x - x^2 - 1000.\)
To find the x-value of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic function in the form \(ax^2 + bx + c.\)
In this case, the quadratic function is \(-x^2 + 160x - 1000\), so a = -1 and b = 160.
Substituting the values into the formula, we have:
x = -160 / (2*(-1))
x = -160 / -2
x = 80
To find the maximum profit, we substitute this value of x back into the profit function:
\(P(80) = 160(80) - (80)^2 - 1000\)
P(80) = 12800 - 6400 - 1000
P(80) = 6400 - 1000
P(80) = 5400
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383,72728,3536,627,2772,636,773,739,629,452,103,648,193,373,382,556,34,7685,834,55,948,3597,527,548,65,86,589,2468,963,469,1457,73,56,986,688,45,. find the mean of the given data
Answer: Average x = 2991.75
Step-by-step explanation: The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Average = Sum / Count
= 107703 / 36
= 2991.75
Pllls helpp
(Identify the unit rate in dollars per square yard for each carpet company. )
Answer:
Carpet company a
Step-by-step explanation:
Find U infinity i = 1 Ai and infinity i = 1 Ai if for every positive integer i, Ai = {i, i + 1, i + 2 ,...}. Ai = {0, i}. Ai = (0, i), that is, the set of real numbers x with 0 < x < i. Ai = (i, infinity), that is, the set of real numbers x with x > i.
We can use the formula for the sum of an arithmetic series to find the value of U infinity i = 1 Ai for each given set Ai:
(a) Ai = {i, i + 1, i + 2,...}
The sum of this arithmetic series is:
U infinity i = i + (i + 1) + (i + 2) + ...
= i + (i + 1) + (i + 2) + ... + (i + n) - (1 + 2 + 3 + ... + n)
where n is any positive integer.
The sum of the first n positive integers is given by the formula:
1 + 2 + 3 + ... + n = n(n+1)/2
Substituting this into the expression for U infinity i, we get:
U infinity i = i + (i + 1) + (i + 2) + ... + (i + n) - n(n+1)/2
Simplifying, we get:
U infinity i = (n+1)i + n(n+1)/2 - n(n+1)/2
= (n+1)i
Taking the limit as n approaches infinity, we get:
U infinity i = lim (n approaches infinity) (n+1)i = infinity
Therefore, U infinity i = 1 Ai for the set Ai = {i, i + 1, i + 2,...} is infinity.
(b) Ai = {0, i}
The sum of this arithmetic series is:
U infinity i = 0 + 1 + 2 + ... + i-1 + i
Using the formula for the sum of an arithmetic series, we get:
U infinity i = [i(i+1)]/2
Taking the limit as i approaches infinity, we get:
U infinity i = lim (i approaches infinity) [i(i+1)]/2 = infinity
Therefore, U infinity i = 1 Ai for the set Ai = {0, i} is infinity.
(c) Ai = (0, i)
The sum of this set is:
U infinity i = integral from 0 to i dx
Evaluating the integral, we get:
U infinity i = [x] from 0 to i = i
Therefore, U infinity i = 1 Ai for the set Ai = (0, i) is i.
(d) Ai = (i, infinity)
The sum of this set is:
U infinity i = integral from i to infinity dx
Taking the limit as the upper limit of integration approaches infinity, we get:
U infinity i = lim (b approaches infinity) integral from i to b dx
= lim (b approaches infinity) (b - i)
= infinity
Therefore, U infinity i = 1 Ai for the set Ai = (i, infinity) is infinity.
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How do I show my work for this Question?
Answer:
To show your work for this question, I would analyze the data presented in the graphs. I would look at the pie chart for week one and week two to determine the percentage of sales for each drink. From there, I would compare the percentages to see which statement is true. For statement A, I would look at the total percentage of Cherry Cola sales over the two weeks. For statement B, I would compare the percentage of Diet Cola sales from week one to week two. For statement C, I would look at the percentage of Lemon-Lime sales in week two. Based on this analysis, I would select the statement that is true, which is either A, B, C, or none of the above.
Answer:
Examin the chart and explain how you got your answer thats all i know
Vern has a collection of pennies, nickels, and dimes. The ratio of the number of pennies to the number of nickels is $9:2,$ and the ratio of the number of nickels to the number of dimes is $3:4.$ If the total worth of Vern's collection is $\$10.96,$ then how many coins do they have in total?
Let be the number of pennies, be the number of nickels, and be the number of dimes that Vern has. The given ratios tell us that and Therefore, so we haveTo turn this into a ratio of integers, we multiply every part of the ratio by Doing this, we see that Therefore, we can think of Vern's collection as consisting of several groups, each of which contains pennies, nickels, and dimes. Let be the number of such groups of coins that Vern has. Then Vern has pennies, nickels, and dimes. Since a penny is worth cent, a nickel is worth cents, and a dime is worth cents, the total worth of Vern's coins in cents is However, we know Vern has or cents, so we can write an equation:Simplifying the left-hand side, we get Dividing both sides by we get This tells us that Vern has groups of coins, for a total of coins.
328
12y - 4 = 168
What is y? Use inverse operation
Answer:
y=14.33
Step-by-step explanation:
Add 4 to both sides you should get 12y=172Now, divide both sides by 12 and you should get y=14.33Answer:
the answer is 14.33
Step-by-step explanation:
first you do 12y-4=168
+4=+4
---------
0=172
so now the eqation is 12y=172
then you divide 172/12=14.33
Hw 22.2 -Permutations with repetition
There are 6 runners in s race .In how many ways can 3 runners finish in first ,second ,and third to win the gold ,sliver ,and bronze medals ?
1.
Which expression is equivalent to 5(3x + 1)(x − 2)(x – 3)?
Answer:
15x^3-70x^2+65x+30
Step-by-step explanation:
1) 5(3x+1)= (15x+5)
2) (15x+5)(x-2)=15x^2-25x-10
3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30
the sphere at the right fits snugly inside a cude with 14in edges. what is the approximate volume of the space between the sphere and the cube?
Answer:Find the vol of the sphere:
radius of the sphere = 3 in
V = %284%2F3%29%2Api%2A3%5E3
V = 97.858
:
Find the vol between the sphere and cube:
216 - 97.858 = 118.142 cu/in
Step-by-step explanation:
What is times plus 4
Answer:
you forgot the number before times
Step-by-step explanation:
Let p: a student is in the math club and q: a student is in the debate club.
The verbal translation of p ∨ q is:
A student is in math club
in debate club.
p ∨ q is true f
The statement p ∨ q, where p represents "a student is in the math club" and q represents "a student is in the debate club", is a logical statement known as a disjunction. This means that the statement is true if either p or q is true or if both are true.
The verbal translation of p ∨ q is "a student is in the math club or in the debate club". This means that the statement is true if the student is in either of the clubs or in both. It does not necessarily mean that the student is only in one of the clubs.
For example, if Jane is in the math club and the debate club, then the statement p ∨ q is true. If John is only in the math club, then the statement p ∨ q is also true because he is in the math club. Similarly, if Jack is only in the debate club, then the statement p ∨ q is still true because he is in the debate club.
In conclusion, the logical statement p ∨ q is true if a student is in the math club or in the debate club, or in both. It is a disjunction that represents the possibility of membership in either or both clubs.
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Find the product. Simplify your answer.
(4c+3)(3c–3)
Hello!!
(4c+3)(3c−3)
=(4c+3)(3c+−3)
=(4c)(3c)+(4c)(−3)+(3)(3c)+(3)(−3)
=12c2−12c+9c−9
=12c2−3c−9
Answer^
Hope this helps ((brainliest!!!))
18k²+12j³-6k²+48
Simplify the expression by combining like terms.
Answer:
12j^3-12j^2+48)
Step-by-step explanation:
Any coefficients with the same power/exponent get added together. (18k^2-6k^2=12k^2).
Can someone help me with this problem?
Answer:
147
Step-by-step explanation:
add the 2 sides together 19+14=33 then take 33 and subtract from 180. bc thats the rule btw. So 180-33= 147 hope this helps :))
two numbers that multiply to 20 and add up to -12
Vocabulary
Choose the best term from the box. Write it on the blank.
1. A(n)
2. A(n).
endlessly.
3. A(n)
counting number, or zero.
is a decimal that ends in repeating zeros.
is a decimal in which a digit or digits repeat
is either a counting number, the opposite of a
4. A(n).
is a number that can be used to describe a
part of a whole, a part of a set, a location on a number line, or a division
of whole numbers.
Terminating and Repeating Decimals
fraction
integer
repeating decimal
terminating decimal
1. Terminating Decimal
2. Repeating Decimal
3. Integer
4. Fraction
The solutions of the blanks are 1) Terminating numbers 2)Repeating numbers 3) Integers 4) Fractions.
Terminating numbers - The numbers which have a finite number of digits after the decimal point are called Terminating numbers i.e. they have ending decimals.
Example = 3.45 , 2.81.
Repeating numbers = The number that repeats itself periodically after decimals is called Repeating numbers.
They are also called recurring numbers or non repeating numbers.
They may be in a particular pattern or a single number may repeat.
Example : 2.1414141414…….
3.33333333
17.325893258932589……..
Fractions - Fraction is defined as a part of a whole . The upper part of the fraction is called numerator and the lower part is called denominator.The three main types of fractions are proper fraction , improper and mixed fraction, apart from them there are unit fraction, like fraction and unlike fraction.
Example 4/7
Integers - The numbers which are on the number line is called a Integers
Integers include positive numbers , negative numbers including zeroes.
Example = -4, 6, 0
The answers of the given blanks are 1) Terminating numbers 2)Repeating numbers 3) Integers 4) Fractions.
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Which of the following matches a quadrilateral with the listed characteristics
below?
1. Figure has 4 right angles
2. Figure has 4 congruent sides
3. Both pairs of opposite sides parallel
OA. Square
OB. Parallelogram
OC. Rectangle
D. Trapezoid
The Quadrilateral that matches the listed characteristics is a rectangle.
A rectangle is a quadrilateral with four right angles, and two pairs of opposite sides that are parallel. It is also a parallelogram because it has two pairs of parallel sides. However, not all parallelograms are rectangles.
A rectangle also has four congruent angles which makes it a special case of parallelogram. In a rectangle, opposite sides are congruent to each other. Therefore, answer option C. Rectangle matches the given characteristics.
What is a quadrilateral?A quadrilateral is a polygon with four sides. Examples of quadrilaterals include parallelograms, rhombuses, rectangles, squares, and trapezoids. The angles of a quadrilateral add up to 360 degrees.What is a rectangle?
A rectangle is a four-sided figure with four right angles.
Opposite sides of a rectangle are parallel to each other. The length and width of a rectangle are perpendicular to each other. The formula for finding the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. The area of a rectangle is A = lw, where A is the area, l is the length, and w is the width.
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JENNY LOVES COLLECTING BILLS OF $1 AND $5. SHE
HAS A GOOD COLLECTION OF THESE BILLS. ONE DAY
SHE COUNTED THEM AND FOUND NUMBER TO BE 18
ALSO VALUE OF THESE BILLS IS FOUND TO BE $42.
HELP HER TO FIND THE BILLS OF EACH TYPE.
what's the name of the ray
A measure computed from the entire population is called: Select one: a. a statistic. b. a qualitative value. c. a mean. d. a parameter.
A measure computed from the entire population is called a parameter.
The correct answer is an option (d)
We know that a parameter is nothing but a numerical value that describes a certain characteristic of the entire population. It is computed using the population values such as population mean, population variance, etc.
Whereas, a statistic is a numerical value that defines certain characteristic of a sample.
It is computed using the sample values such as the sample mean, sample variance, etc.
A qualitative value or a qualitative data are represented by a name, symbol, or a number code. This data is the data about categorical variables.
And the mean is nothing but the average of a set of values.
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14. Set A contains all integers from 50 to 100, inclusive, and Set B contains all integers from 69 to 138, exclusive. How many integers are included in both Set A and Set B?
E. 29
F. 30
G. 31
H. 32
Answer:
30
Step-by-step explanation:
We have to make the intersection between these sets, and we see that they intersect in the range: [70,100], and d(70,100) = 30, that is the answer.
The half-life of a certain tranquilizer in the bloodstream is 47 hours. How long will it take for the drug to decay to 93% of the original dosage? Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve.
Answer:
It will take 4.84 hours for the drug to decay to 93% of the original dosage.
Step-by-step explanation:
We are given that the half-life of a certain tranquilizer in the bloodstream is 47 hours.
The given exponential model is: \(A = A_0 e^{kt}\)
Now, we know that A becomes half after 47 hours which means that;
\(A = 0.5 A_0\)
Using this in the above equation we get;
\(A = A_0 e^{kt}\)
\(0.5 A_0 = A_0 e^{(k\times 47)}\) where t = 47 hours
\(\frac{0.5 A_0}{A_0} = e^{(47k)}\)
\(0.5 = e^{47k}\)
Taking log on both sides we get;
\(ln(0.5) = ln(e^{47k})\)
\(ln(0.5) =47k\)
\(k = \frac{ln(0.5)}{47}\)
k = -0.015
Now, the time it will take for the drug to decay to 93% of the original dosage is given by;
\(0.93 = e^{kt}\) where t is the required time
\(0.93 = e^{(-0.015 \times t)}\)
Taking log on both sides we get;
\(ln(0.93) = ln(e^{-0.015t})\)
\(ln(0.93) =-0.015t\)
\(t = \frac{ln(0.93)}{-0.015}\)
t = 4.84 hours
Hence, it will take 4.84 hours for the drug to decay to 93% of the original dosage.
Please help giving up 20 points for answers
Answer:
Question 2: 6x-21
Question 1: -9x+3
Step-by-step explanation:
if the graph of y=|x| is compressed vertically by a factor of (1)/(4) , reflected across the x-axis and translated 3 unit (s) left and 4 unit (s) down, what is the equation of the new graph?
The equation of the new graph is y = -(1/4)|(x + 3)| - 4.
The transformation steps provided in the question describe how to transform the graph of y = |x| to obtain a new function that represents the transformed graph.
Starting with the original graph of y = |x|, the first transformation applied is a vertical compression by a factor of 1/4. This means that each y-coordinate of the graph is multiplied by 1/4, resulting in a shorter and narrower version of the original graph. The equation of this transformed graph is y = (1/4)|x|.
Next, the transformed graph is reflected across the x-axis. This means that every point on the graph is mirrored across the x-axis, resulting in an upside-down version of the previous graph. The equation of the reflected graph is y = -(1/4)|x|.
After reflecting the graph, it is translated 3 units to the left. This means that every point on the graph is shifted 3 units to the left. The equation of the translated graph is y = -(1/4)|(x + 3)|.
Finally, the translated graph is moved 4 units down. This means that every point on the graph is shifted 4 units downward. The equation of the final transformed graph is y = -(1/4)|(x + 3)| - 4.
Therefore, starting with the original graph of y = |x|, we can apply these four transformations in sequence to obtain the equation of the new transformed graph.
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Square PINT has vertices N(4, 2) and T(3, 8). What is the area of square PINT?
Answer: the answer is 37
Step-by-step explanation: someone said it was incorrect but it’s correct trust me my teacher gave us the answer
The area of the square PINT will be 37 square units.
What is an area of a square?The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle, and a parallelogram.
Given that Square PINT has vertices N(4, 2) and T(3, 8). The area of the square will be calculated by finding the distance between two points N(4, 2) and T(3, 8), and squaring it.
The length of the line segment bridging two points on a plane is known as the distance between the points.
Area = Distance² = ( x₂ - x₁ )² + ( y₂ - y₁ )²
Area = Distance² = ( 4 - 3 )² + ( 8 - 2 )²
Area = Distance² = (1 )² + ( 6 )²
Area = Distance² = (1 )² + ( 6 )² = 37 square units
Therefore, the area of the square PINT will be 37 square units.
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i need help i will give brainiest
Show that E[
β
^
0
=β
0
. (Hint:
Y
ˉ
=β
0
+β
1
X
ˉ
+
ε
ˉ
, where
ε
ˉ
=
n
1
∑ε
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.)
The expected value of the estimator equals the true parameter.
What is the condition for the estimator to be unbiased?The estimator is calculated as the intercept of the linear regression model.
It represents the average difference between the predicted values and the actual values of the dependent variable, given a fixed value of the independent variable.
If the estimator is unbiased, the expected value will be equal to the true parameter. .
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