well, he has left only 6 oz.
now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5\)
Determine the monthly principal and interest payment for a 20-year mortgage when the amount financed is $285,000 and the annualpercentage rate (APR) is 5.5%.The monthly principal and interest payment is $____
From the given table, we can see that the monthly principal and interest payment per $1000 is given at various rates and a different number of years.
First, we need to get the monthly principal and interest payment per $1000 for a 20-year mortgage and an annual percentage rate (APR) of 5.5%.
• From the table, the price amounts to, $6.87887, (simply check 5.5% APR under 20years).
$1000 financed yields $6.87887. This can be expressed as;
• $1000 = $6.87887.................................... 1
Based on the given question, we need to get the monthly principal for the amount of $285,000. This can be expressed as:
• $285,000 = x .............................................. 2
Divide equations 1 and 2 to find the value of "x"
\(\frac{1000}{285000}=\frac{6.87887}{x}\)Cross multiply:
\(\begin{gathered} 1000x=285,000\times6.87887 \\ x=\frac{285\cancel{000}\times6.87887}{1\cancel{000}} \\ x=285\times6.87887 \\ x=\$1,960.4779 \end{gathered}\)Therefore the monthly principal and interest payment is approximately $1,960.4779
What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?
Answer:
Step-by-step explanation
4x-3=y
perpendicular means
-1/4x-3=y
Dorothy gives a ribbon to each of her friends in the following order and then starts over from the beginning: the Scarecrow, the Tinman, the Cowardly Lion, and Toto.
Who gets the 18th ribbon?
Answer:
Cowardly get the 18th ribbon.
Step-by-step explanation:
Answer:
Tinman
Step-by-step explanation:
Scarecrow- 1 1 1 1 1
Tinman- 1 1 1 1 1
Cowardly Lion- 1 1 1 1
Toto- 1 1 1 1
find the maximum value of the function f(x)=-1.8x^2+7x-11 to the nearest hundredth.
The maximum value of the function f (x) = -1.8x² + 7x - 11 to the nearest hundredth is, - 4.19.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = -1.8x² + 7x - 11
Now, We can differentiate with respect to x as;
⇒ f ' (x) = - 1.8 × 2x + 7 × 1 - 0
⇒ f ' (x) = - 3.6x + 7
Put f ' (x) = 0
⇒ - 3.6x + 7 = 0
⇒ 3.6x = 7
⇒ x = 1.94
Now, Again differentiate with respect to x as;
⇒ f ' (x) = - 3.6x + 7
⇒ f '' (x) = - 3.6 × 1 + 0
⇒ f '' (x) = - 3.6 < 0
Hence, Substitute x = 1.94 in function to get maximum value,
⇒ f (x) = -1.8x² + 7x - 11
⇒ f (x) = -1.8 (1.94)² + 7 × 1.94 - 11
⇒f (x) = - 6.77 + 13.58 - 11
⇒ f (x) = - 4.19
Thus, The maximum value = - 4.19
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Find ywrite your answer as a whole number or decimal. do not round
From the figure, we can say:
\(\Delta\text{HGI\textasciitilde}\Delta\text{HFJ}\)Since both the triangles are similar, their sides are proportional.
We can write a proportional ratio:
\(\frac{3}{6}=\frac{y}{8}\)We can cross multiply and solve for y:
\(\begin{gathered} \frac{3}{6}=\frac{y}{8} \\ 6y=3\times8 \\ 6y=24 \\ y=\frac{24}{6} \\ y=4 \end{gathered}\)find the value of that minimizes the expected number of iterations of the algorithm to generate x.
The value that minimizes the expected number of iterations of the algorithm to generate x is the most efficient value for the given situation.
The value that minimizes the expected number of iterations of the algorithm to generate x depends on the situation. If the algorithm is a loop or iterative process, finding the value that results in the fewest number of iterations can help to reduce the time and resources needed to complete the task. This can be done by analyzing the data and testing different values against the algorithm to determine which value will yield the best result. In general, the most efficient value is the one that results in the fewest number of iterations, as this will reduce the amount of time and resources needed to generate x. Additionally, it can also help to optimize the overall performance of the algorithm. By finding the value that minimizes the expected number of iterations, the algorithm can be much more efficient and yield better results.
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Is the data Jamaya collected a random sample if the population is books from her entire household? Why or why not? *Remember that Jamaya picked 15 books from her book shelf in her bedroom.
Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.
In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
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Angie’s Bake Shop makes birthday chocolate chip cookies that cost $2 each. Angie expects that 7% of the cookies will crack and be discarded. Angie wants a 50% markup on cost and produces 100 cookies. What should Angie price each cookie?
Answer:
I kept coming up with $3.56
Step-by-step explanation:
Answer:
$2.00 each
Step-by-step explanation:
Odin is recording the depreciation of his car. The table displays the number of years and the car's depreciated value for each year.
What will be the value of his car in year 10?
PLEASE GIVE ME THE ANSWER!!
Answer:
$1,158.08
Step-by-step explanation:
The value of the car in year 10 is $1158.08
How to determine the car value in year 10?From the table, we have the following points
(x, y) = (1,5000) and (2,4250)
Start by calculating the rate of depreciation using:
r = y2/y1
So, we have:
r = 4250/5000
Evaluate
r = 0.85
The value of the car in nth year is calculated using:
y = y1 * r^(n - 1)
For the 10th year, we have:
y = 5000 * 0.85^(10 - 1)
Evaluate the product
y = 1158.08
Hence, the value of the car in year 10 is $1158.08
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Kristi gets $10 a week from her parents if she washes the dishes after dinner every night. Kristi has saved up $30 over the last few weeks from her allowance. She wants to continue saving her allowance until she has enough money to buy the $7o bike she saw at the store last week. Assuming Kristi receives her allowance every week, write an equation that shows how many more weeks Kristi has to save her allowance to buy the bike, where w is the number of weeks. You can solve the equation to check your answer.
Answer: She needs to save her allowance for another 4 weeks.
Step-by-step explanation:
She starts with $30, and for each week that she saves her allowance, she gets another $10. If she saves for "w" weeks, she has:
$30 + w*$10
And she wants to have $70
$30 + w*$10 = $70
We can solve this:
$30 + w*$10 = $70
w*$10 = $70 - $30 = $40
w = $40/$10 = 4
PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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A man needed to sell a car. He priced it at $3,500 the first day. The second day he reduced the price by 15%. What was the price of the car after this reduction?
A.
$3,150.00
B.
$2,528.75
C.
$2,975.00
D.
$4,025.00
The function h is defined by h(x)= 2x^2+3. find h (3z).
h(3z) = 2(3z)^2 + 3 = 18z^2 + 3
h(3z) is equal to 18z² + 3
To find h(3z), we substitute 3z into the function h(x). This means we replace x with 3z in the expression for h(x).
h(3z) = 2(3z)² + 3
Simplifying this expression, we have:
h(3z) = 2(9z²) + 3
h(3z) = 18z² + 3
So, h(3z) is equal to 18z² + 3. This means that if we input any value of z into the expression, the function h will output the corresponding value by evaluating 18z² + 3.
The function h(3z) represents a quadratic expression in terms of z, where the coefficient of z² is 18 and there is a constant term of 3 added to the result.
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Camille is comparing different apartment complexes. Here is the data she collected. Complex name Bedrooms Bathrooms Rent Rent includes heat Amenities Grand Vistas 2 br 2 bath $990 no fitness center, pool ; Maple Ridge 2br 1.5 bath , $685 yes fitness center, pool; Old Mill 2 1.5, 790 no pool; Willow Brook 2br 2bath $885 no jacuzzi. The individuals in this data set are:
The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.
The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.
Grand Vistas:
Bedrooms: 2
Bathrooms: 2
Rent: $990
Rent includes heat: No
Amenities: Fitness center, pool
Maple Ridge:
Bedrooms: 2
Bathrooms: 1.5
Rent: $685
Rent includes heat: Yes
Amenities: Fitness center, pool
Old Mill:
Bedrooms: 2
Bathrooms: 1.5
Rent: $790
Rent includes heat: No
Amenities: Pool
Willow Brook:
Bedrooms: 2
Bathrooms: 2
Rent: $885
Rent includes heat: No
Amenities: Jacuzzi
Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.
This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.
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store A charges 12.50 for a custom shirt with 0.40 per each custom character store b charges 14.75 for the same shirt but charges 0.25 per each custom characyer would make the cost from both stores the same
Answer:
15 shirts
Step-by-step explanation:
Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same
A: 12.5 + 0.40x
B: 14.75 + 0.25x
12.5 + 0.40x = 14.75 + 0.25x
subtract 12.5 from both sides:
12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5
0.40x = 2.25 + 0.25x
subtract 0.25x from both sides:
0.40x - 0.25x = 2.25 + 0.25x - 0.25x
0.15x = 2.25
divide both sides by 0.15:
0.15x/0.15 = 2.25/0.15
x = 15
what is the slope of the line that passes thru (7,-6) and (6,-6)
The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.
Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.
Let the slope of the line joining A (7,-6) and B(6,-6) be m.
We know that the slope of a line is given by:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Slope of the line
= (6-7) / (-6+6)
= -1 / 0
= undefined
Since the slope is undefined we can say that the straight line is parallel to the y axis.
we know that tan 90° = ∞
So any line parallel to this line will have the same slope as the y axis.
Hence the slope of the given line is undefined or infinity.
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Find the midpoint of each line segment.
Answer:
(1.5, 0.5)
Step-by-step explanation:
(5, 3) and (-2, -2)
5 - 2 / 2 = 1.5
-2 + 3 / 2 = 0.5
The situation that will help reduce frictional force. A. tearing of bike gears B. applying lubricants to tires C. rubbing together two hard objects D. sliding big boxes on the ramp from the truck
Please answer my question I need it tommorow...
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?
Given the information in the diagram, the theorem that best justifies why lines j and k must be parallel include the following: D. converse alternate exterior angles theorem.
What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
In Mathematics and Geometry, the alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.
Since the alternate exterior angles are congruent, we can logically deduce the following based on the converse alternate exterior angles theorem;
93° ≅ 93° (lines j and k are parallel lines).
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Complete Question:
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?
alternate interior angles theorem
alternate exterior angles theorem
converse alternate interior angles theorem
converse alternate exterior angles theorem
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Question 1 (Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The heights of 11 plants, in inches, are listed.
14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22
If another plant with a height of 14 inches is added to the data, how would the range be impacted?
The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.
What is data?Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.
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Jakes phone will play music for 12 hours on a full charge . He has been using it for 3 hours . What percent of a full charge is left over ?
Answer:
75%
Step-by-step explanation:
3/12 =1/4
so 1/4 of 100% = 75%
i think 75%
12=100%
3/12=1/4
1/4 of 100%=75%
Which statement describes this system of equations? 9x – 6y = 15, 3x – 2y = 5 The equations in the system are equivalent equations. There is no solution to the system of equations. The system of equations has one solution at (3, 2). The system of equations has one solution at (5, 5).
Answer:
There is no solution to the systems of equation.
Step-by-step explanation:
Graph the system by using y=mx+b
Both systems are y=2/5x+5/2.
Answer:
that guy is wrong. its the first option.
Step-by-step explanation:
i just took it
A triangle has angle measurements of 26°, 59, and 95°. What kind of triangle is it?
A. obtuse triangle
B. right triangle
C. acute triangle
D. none of the above
So in my class i am studying RatioThe question is:There are 7 red pens for every 10 pencils in the borrow bin So would the answer be Part to partPart to whole or Whole to part
Answer:
The ratio of red pens to pencils is 7/10
The ratio of pencils to red pens is 10/7
Step-by-step explanation:
Ratio:
The ratio of a to b is a/b
The ratio of b to a is b/a
In this question:
7 red pens
10 pencils
The ratio of red pens to pencils is 7/10
The ratio of pencils to red pens is 10/7
Please help me solve these 3 math problems
The domain of the rational function h(x) = (x - 3)/(x² - 4) is equal to (-∞, -2) ∪ (-2, 2) ∪ (2, ∞).
The possible points that would lie on h(x) = x² - x + 1 are (3, 7).
True: (1, -1) is a point of the graph of f(x) = -2(x + 1)² + 7.
What is a domain?In Mathematics, a domain is the set of all real numbers for which a particular function is defined.
From the graph of h(x) = (x - 3)/(x² - 4), the domain in interval notation and set builder notation is as follows;
Domain = (-∞, -2) ∪ (-2, 2) ∪ (2, ∞)
Domain = {x|x ≠ 2, -2}.
Next, we would determine possible x-value for the given quadratic function as follows;
h(x) = x² - x + 1
7 = x² - x + 1
7 - 1 = x² - x
6 = x² - x
x² - x - 6 = 0.
x² - 3x + 2x - 6 = 0.
x(x - 3) + 2(x - 3) = 0
(x + 2)(x - 3) = 0
x = 3 or x = -2.
For second quadratic function f(x) = -2(x + 1)² + 7, we have:
f(x) = -2(x + 1)² + 7
-1 = -2(1 + 1)² + 7
-1 = -2(2)² + 7
-1 = -8 + 7
-1 = -1 (True).
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In the Gaussian integral, how does the left side of this equation equal the right side? An answer would be really appreciated, thank you.
the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.
How do we calculate?
using completing the square method:
Starting with the left side of the equation:
∫\(e^(^-^x^2)\) dx
\(e^(^-^x^2) = (e^(^-x^2/2))^2\)
∫\((e^(^-^x^2/2))^2 dx\)
let u = √(x²/2) = x = √(2u²).
dx = √2u du.
∫ \((e^(^x^2/2))^2 dx\)
= ∫ \((e^(^-2u^2)\)) (√2u du)
The integral of \(e^(-2u^2)\)= √(π/2).
∫ \((e^(-x^2/2))^2\) dx
= ∫ (√2u du) \((e^(-2u^2))\\\)
= √(π/2) ∫ (√2u du)
We substitute back u = √(x²/2), we obtain:
∫ \((e^(-x^2/2))^2\)dx
= √(π/2) (√(x²/2))²
= √(π/2) (x²/2)
= (√π/2) x²
A comparison with the right side of the equation shows that they are are equal.
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You're at the aquarium, staring into a large exhibit, when you look to your left and slightly downward and you see a jellyfish. You notice that the jellyfish body looks like a very wide, upside-down parabola. What is a possible equation that models the jellyfish, assuming your eyes are at (0, 0)?
a) -2(x + 3)2 + 4
b) -3(x - 2)2 - 1
c) -25(x + 1)2 - 5 .
d) 3(x-4)2 + 2
e) Answer is not there
Step-by-step explanation:
c is an upside down parabola but it is not wide, it is very then so maybe e?
3-gallon container of disinfectant costs $52.80. What is the price per cup?
The product of a number and -5 is equal to twice the number subtracted from 9. What is the number?
A. -9
B. -3
C. 3
D. 9
Answer:
-3
Step-by-step explanation:
let the unknown be x.
x multiply by -5 = 9-2x
-5x=9-2x
-9=3x
x=-3
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracy
spent $10. Write and solve an equation to find how much Daniel spent. Let x represent how much
Daniel spent.
The equation that can be used to determine how much Daniel has spent is
Daniel spent $
!WORTH ALL MY POINTS!
ASAP
Answer:
Daniel spent $ 19.
Step-by-step explanation:
Given that, while shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent, and Tracy spent $ 10, to determine how much Daniel spent the following equation must be performed:
Daniel: X
Tracy: 2X - 28 = 10
2X - 28 = 10
2X = 10 + 28
X = 38/2
X = 19
2x19 - 28 = X
38 - 28 = X
10 = X
So, Daniel spent $ 19.
Question:
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracy
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how much
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent is
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent isDaniel spent $
Answer:Daniel $ 19.