Answer:
$0.05 per ounce
Step-by-step explanation:
To find the price in dollars per ounce, divide the price by the number of ounces.
\(\frac{1.08}{24}\) = $0.045 per ounce = $0.05 per ounce
The question what function matches the graph?
A) linear
B) exponential
C)Geometric
D)Quadratic
Jen simplified a radical expression. Her work is shown.
√
50
x
3
y
5
5
Step 1:
√
10
x
3
y
5
Step 2:
√
10
⋅
x
2
⋅
x
⋅
y
2
⋅
y
2
⋅
y
Step 3:
x
y
2
√
10
x
y
Did Jen make an error?
A.
Jen made an error in Step 1.
B.
Jen made an error in step 2.
C.
Jen made an error in step 3.
D.
Jen did not make an error.
Answer:
im taking the same test lol
Step-by-step explanation:
In the similar triangles below , what is the measure of D
In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.
In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.
This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.
To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.
We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.
So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.
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For each of the following, identify the exam score that should lead to the better grade. In each case, explain your answer.
a) A score of X = 74 on an exam with μ=82 and σ=8; or a score of X = 40 on an exam with μ=50 and σ=20.
b) A score of X = 51 on an exam with μ=45 and σ=2; or a score of X = 90 on an exam with μ=70 and σ=20.
c) A score of X = 62 on an exam with μ=50 and σ=8; or a score of X = 23 on an exam with μ=20 and σ=2.
The exam scores , that will lead to the better grade is
(a) the score of "X=40" in exam with μ = 50 , σ = 20 ;
(b) the score of "X=51" in exam with μ = 45 , σ = 2 ;
(c) Both the score will lead to better grades .
Part(a) : In order to find which score leads to better grade, we calculate the z-scores for both scores and compare :
The score of X = 74 on the first exam is :
⇒ z = (74 - 82)/8 = -1 ;
The score of X = 40 on the second exam is :
⇒ z = (40 - 50)/20 = -0.5 .
The z-score of -0.5 is > -1,
So , the score of X = 40 on the second exam lead to better grade because the score of 40 is closer to mean of second exam (50) and has a smaller deviation from mean (20) than score of 74 on first exam .
Part(b) :
The score of X = 51 on the first exam is :
⇒ z = (51 - 45)/2 = 3 ;
The score of X = 90 on the second exam is :
⇒ z = (90 - 70) / 20 = 1 .
The z-score of 3 is > 1 ,
So , the score of X = 51 on the first exam should lead to the better grade.
Part(c) :
The score of X = 62 on the first exam is :
⇒ z = (62 - 50) / 8 = 1.5 ;
The score of X = 23 on the second exam is :
⇒ z = (23 - 20) / 2 = 1.5 .
Both scores have the same z-score of 1.5, they should lead to the same grade.
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n-6m-8 for n help! please
Answer:
n=6m+8
Step-by-step explanation:
we hav to get n by itself
so start easy and add 8 to theother side
n-6m=8 then take 6m and add it the other side
n=6m+8 and there you go
Answer:
Step-by-step explanation:
n - 6m = 8
n = 8 + 6m
Determine the value, k, so that y=kcos(3x)+4sin(x) is a solution to the differential equation y’’+y=-9cos(2x)
The value of k such that y = k cos(3x) + 4sin(x) is a solution to the differential equation y’’ + y = -9 cos(2x) is 9/8.
Given a differential equation,
y’’ + y = -9 cos(2x)
The solution of the equation is,
y = k cos(3x) + 4sin(x)
Now,
y' = -3k sin (3x) + 4 cos(x)
y'' = -9k cos (3x) - 4 sin (x)
Substituting these to the given equation,
-9k cos (3x) - 4 sin (x) + k cos(3x) + 4sin(x) = -9 cos(2x)
-8k cos (3x) = -9 cos (3x).
Comparing,
-8k = -9
k = 9/8.
Hence the value of k is 9/8.
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At summer camp, 40 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. Outcome Frequency Swimming 16 Hiking 24 Compare the probabilities and determine which statement is true. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 24 over 40. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40. The theoretical probability of swimming, P(swimming), is 16 over 24, but the experimental probability is one half. The theoretical probability of swimming, P(swimming), is 24 over 40, but the experimental probability is one half.
The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.
We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.
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Consider the line y=-8x+6.
Find the equation of the line that is parallel to this line and passes through the point (7, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (7, 5).
The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.
What is the equation of line parallel and perpendicular to the given line?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the original line:
y = -8x + 6
Using the slope intercept:
Slope m = -8
Since the desired line is parallel, it will have the same slope.
Therefore, the slope of the parallel line is also -8.
Plug in the slope m = -8 and the poin (7,5) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
( y - 5) = -8( x - 7 )
Simplify
y - 5 = -8x + 56
y = -8x + 56 + 5
y = -8x + 61
The equation of the parallel line is y = -8x + 61.
For the perpendicular line:
The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.
Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)
Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).
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Find the interest and future value of a deposit of $8,750 at 3% for twenty years.
Answer
Interest = $5,250
Future value = $14,000
Explanation
Given:
Principal, P = $8,750
Rate, R = 3%
Time, T = 20 years
What to find:
The interest and future value.
Step-by-step solution:
The Interest
The interest can be calculated using the simple interest formula below.
\(Interest=\frac{P\times R\times T}{100}=\frac{\$8,750\times3\times20}{100}=\$5,250\)The interest of $8,750 at 3% for twenty years is $5,250
The future value
Future value = Amount = Principal + Interest
Future value = $8,750 + $5,250
Future value = $14,000
2. What is the 7th term of an A.P: 50+45+40? a. 40, b. 20, c. 15, d. 22
The 7th term of an Arithmetic Progression 50+45+40 is 20
How to determine the 7th term of an Arithmetic Progression 50+45+40?The Arithmetic Progression is given as:
50+45+40
In the above Arithmetic Progression, we have
First term, a= 50
Common difference, d = 45 - 50 = -5
The nth term of the Arithmetic Progression is calculated as:
Tn = a + (n - 1)d
Substitute the known values in the above equation
Tn = 50 + (n - 1) * -5
Substitute 7 for n in the above equation
Tn = 50 + (7 - 1) * -5
Evaluate the product
Tn = 50 - 30
Evaluate the difference
T7 = 20
Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20
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On Friday, 0.325 of the students in
Keisha's math class were absent. What
percent of the students were absent?
Look at picture for choices!! Quick!!
The number of football games with a score less than or equal to 29 is equal to half the number of basketball games with a score greater than or equal to . For both sports, if the only games won were those with scores of 30 or higher, how many more basketball games were won compared to football games won? 20 What is the difference between the total maximum possible points scored by the basketball team last year and the total maximum possible points scored by the football team last year? points
The difference between the basketball team's and the football team's overall maximum points is 7,440.
What are some instances of games?A game is any mental or physical activity with rules that is done for enjoyment, such as physical activities like baseball and soccer, or board games such as chess and Monopoly, or card games, or electronic games
We learn the following from the issue:
F = (1/2)B
We are aware that there is a 20-game disparity between the number of hoops victories and the number of football victories, so:
B/2 - F/2 = 20
Substituting F = (1/2)B, we get:
B/2 - (1/2)B/2 = 20
Simplifying, we get:
B/4 = 20
Multiplying both sides by 4, we get:
B = 80
Similar to how 160 football games were played (since F = (1/2)B = 40), 80 of them had scores of 30 or greater. Therefore, the maximum possible points earned by the football team is 80 x 7 = 560.
The difference between 8000 and 560 is:
8000 - 560 = 7440
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5 = v + 30
help please ill give brainlyest thing
Answer:
V= -25
Step-by-step explanation:
5 = V+30
-30 - 30
----------------------
-25 = V
so, you have to figure out 5-30 which gets you -25 and you want to get the variable by itself so you do -30 and do the inverse operation and what you do to one side has to be done to the other so when you do +30-30 it gets you nothing so those cancel
Hope this helped u sorry if incorrect and welcome to Brainly
1.5 x 3 equals what
Answer:
4.5
Step-by-step explanation:
2) Which two statements are not true?
The product of two irrational numbers is always rational
1. The sum of a rational and an irrational number is always irrational
c. The product of two rational numbers is always rational.
d. The product of a rational number (other than zero) and an irrational number is always irrational
e. A repeating decimal is not a rational number.
Grom per
Answer:
A repeating decimal is not a rational number and The product of two irrational numbers is always rational
Step-by-step explanation:
One statement that is not true is "The product of two irrational numbers is always rational". Take for example the irrational numbers √2 and √3. Their product is √6 which is also irrational.
The other false statement is "A repeating decimal is not a rational number". Take for example the repeating decimal 0.33333..... It can be written as 1/3 which is a rational number.
please help me solve
Answer:
130 degrees
Step-by-step explanation:
DE+DA=130
Find the values of x diagram is not to scale
Answer:
x=21
Step-by-step explanation:
Find the point below that lies on the line y - 6 = 3(x-5).
O A. (5,6)
O B. (1,-5)
O C. (6,5)
O D. (4, -3)
O E. (3,-1)
(6^2)^x =1 please help ASAP please
Answer:
x =0Step-by-step explanation:
\(\left(6^2\right)^x=1\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}\\\left(6^2\right)^x=6^{2x}\\\\6^{2x}=1\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(6^{2x}\right)=\ln \left(1\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\ln \left(6^{2x}\right)=2x\ln \left(6\right)\\2x\ln \left(6\right)=\ln \left(1\right)\\\)
\(\mathrm{Solve\:}\:2x\ln \left(6\right)=\ln \left(1\right):\\\quad x=0\)
Answer:
x = 0
Simplified: \(36^{x} = 1\)
Step-by-step explanation:
How to simplify:
\(6^{2}\) = 6 × 6 = 36Plug in 36: \(36^{x} = 1\)find the volume of the figure
Answer:
Step-by-step explanation:
base area=41.57 in²
height=9 in
volume=41.57×9=374.13 in³
Your friend and her parents are visiting colleges. They leave their home in Enid, Oklahoma, and drive to Tulsa, which is 107 mi east and 18 mi south of Enid. From Tulsa, they go to Norman, 83 mi west and 63 mi south of Tulsa. Where is Norman in relation to Enid?
Find the domain of the function.
f(x)= 3 x−2
Answer:
All real numbers
Step-by-step explanation:
Please help me out with the below question
Answer:
A
Step-by-step explanation:
this is only what I know correct me if I'm wrong thank you
-4(3x+1)+x-3=15 solve for x
Answer:
Step-by-step explanation:
we will use distributive property first
-12x-4+x-3=15
-11x-7=15
-11x=15+7
-11x=22
x=22/-11
x=-2
The required simplified value of the given expression is given as x = -8/11.
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,
Given expression,
-4(3x+1)+x-3=15
Apply PEDMAS, to solve the parenthesis in the given expression,
-12x - 4 + x - 3 = 15
x = 15 -7 / -11
x = - 8 /11
Thus, the required simplified value of the given expression is given as x = -8/11.
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12/14 in lowest terms
Answer:
6/7
Find a number that goes into both numbers ie 2 which goes in 6 and 7 times respectively
Select the correct answer. Rewrite the following expression.
The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).
How to solve an expression?An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.
Therefore, let's rewrite the expression to it's equivalent expression.
An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.
Therefore, using indices rule
\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)
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A sail shaped like a right triangle is shown. : Find the unknown side length. Enter the correct answer in the box. : Do these lengths form a Pythagorean triple? PLEASE HELP ME ASAP!!
Answer:
5 feet
Step-by-step explanation:
AB^2=AC^2+BC^2
13^2=AC^2+12^2
AC^2=25
AC=5
Suppose that a box contains 7 cameras and that 5 of them are defective. A sample of 2 cameras is selected at random without replacement. Define the random variable
X
as the number of defective cameras in the sample.
Answer:
E(x) = 1.43 (Approx)
Step-by-step explanation:
Given:
Total number of camera = 7
Defective camera = 5
Sample selected = 2
Computation:
when x = 0
P(x=0) = 2/7 × 1/6 = 2/42
P(x=1) = [2/7 × 5/6] + [5/7 × 2/6] = 20/42
P(x=2) = 5/7 × 4/6 = 20/42
So,
E(x) = [0×2/42] + [1×20/42] + [2×20/42]
E(x) = 1.43 (Approx)
Ten teaching assistants are available for grading papers in a particular course. The first exam consists of four questions, and the professor wishes to select a different assistant to grade each question (only one assistant per question). In how many ways can assistants be chosen to grade the exam
Answer:
There are 210 ways
Step-by-step explanation:
The number of ways or combinations in which we can select x elements from a group of n elements where the order doesn't matter can be calculated as:
\(nCx=\frac{n!}{x!(n-x)!}\)
So, we have 10 teaching assistants and we need to choose 4 (one assistant per question) to grade each question. It means that n is equal to 10 and x is equal to 4.
Therefore, the number of ways that the assistants can be chosen to grade the exam are calculated as:
\(10C4=\frac{10!}{4!(10-4)!}=210\)
what is answer plz help
Answer:
y=1
Step-by-step explanation:
When x= -4, y=1, i don't know how else to explain it. Find the y value of the graph at that point.
Answer:
y=1
Step-by-step explanation:
if we look at the graph at x-axis where x= -4 and go to meet the line graph , now look at the y -axis and see y= 1