translate this sentence to an equation Juiles height increased by 19 is 65
We use J to represent Juile's original height, giving:
J + 19 = 65
This equation represents the relationship between Juile's original height and her height after the increase.
The sentence "Juile's height increased by 19 is 65" can be translated into an equation by breaking it down into two parts:
Juile's height increased by 19: This means that you can take Juile's original height and add 19 to it to get the new height after the increase.
The new height after the increase is 65: This means that the new height after the increase is equal to 65.
Combining these two parts, we get:
Juile's original height + 19 = 65
We use J to represent Juile's original height, giving:
J + 19 = 65
This equation represents the relationship between Juile's original height and her height after the increase.
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I need help with this pls
The domain of the graph is the one in option A.
D: 0 ≤ x ≤ 12
What is the domain of the graph?
For a function f(x) = y, we define the domain as the set of the possible inputs that we can use in the function.
Here we have a graph, in the case of graphs, the inputs are represented on the horizontal axis.
If you look at the horizontal axis, you can see that the graph goes from x = 0 to x = 12.
Then the domain is [0, 12], or written as an inequality:
D : 0 ≤ x ≤ 12
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today on a suit is being sold at a 28% discount the sale price is $522 ,what was the price yesterday
Answer: $725
Step-by-step explanation:
100%-28%=72%
$522/72=7.25
7.25*100%=$725
To check the answer $725-28% (discount)=$203
$725 (yesterday price) - $203 (discount) = $522 (price today)
What are the solutions to the system of equations?
{−x+y=4 y+12=x2+x
Responses
(−4,0) and (3,0)
begin ordered pair negative 4 comma 0 end ordered pair, and , begin ordered pair 3 comma 0 end ordered pair
(−4,0) and (4,8)
begin ordered pair negative 4 comma 0 end ordered pair, and , begin ordered pair 4 comma 8 end ordered pair
(0,4) and (4,8)
begin ordered pair 0 comma 4 end ordered pair, and , begin ordered pair 4 comma 8 end ordered pair
(−12,−12) and (3,0)
Answer: Option 2
Step-by-step explanation:
\(-x+y=4 \implies y=x+4\\\\y+12=x^2 +x \implies x+4+12=x^2 +x\\\\x+16=x^2 +x\\\\x^2 =16\\\\x=\pm 4\\\\x=-4 \implies y=-4+4=0\\\\x=4 \implies y=4+4=8\\\\\therefore (-4,0), (4,8)\)
The seventh-grade class needs to elect a new class president. Mary is writing an article on the election for the school paper and surveys a random selection of students about which candidate they support. The table below shows the results so far. Mary wants to survey 10 more people.
Candidate Number supporting the candidate
Julian 15
Mariana 9
Terrell 16
Denise 10
Based on the data, estimate how many of the next 10 students surveyed will support Julian.
If necessary, round your answer to the nearest whole number.
Answer:
3
Step-by-step explanation:
To estimate the number of students out of the next 10 who will support Julian, we can use the proportion of students who have supported Julian so far.
The total number of students who have been surveyed is:
15 + 9 + 16 + 10 = 50
Out of these 50 students, 15 have supported Julian. Therefore, the proportion of students who have supported Julian so far is:
15/50 = 0.3
To estimate how many of the next 10 students surveyed will support Julian, we can multiply the proportion of students who have supported Julian so far by 10:
0.3 x 10 = 3
Therefore, we can estimate that out of the next 10 students surveyed, about 3 will support Julian.
What is the value of x
Answer:
≈ 44°
The correct answer is the second one
Step-by-step explanation:
Use trigonometry:
\( \cos(x°) = \frac{15}{21} \)
Use the reverse function (SHIFT, cos) on your calculator to find x:
\(x≈44°\)
Check the picture below.
\(\cos(x )=\cfrac{\stackrel{adjacent}{15}}{\underset{hypotenuse}{21}}\implies \cos(x)=\cfrac{5}{7}\implies x=\cos^{-1}\left( \cfrac{5}{7} \right)\implies x\approx 44^o\)
Make sure your calculator is in Degree mode.
lily is using dark power crystals to raise an army of zombies. each crystal can raise 9 99 zombies. how many crystals does lily need to raise 6 , 174 6,1746, comma, 174 zombies?
Lilly needs 686 dark power crystals to raise 6174 zombies.
To solve this problem, we need to determine how many dark power crystals are needed to raise a specific number of zombies. We know that each crystal can raise 9 zombies. So, to determine the number of crystals needed to raise a given number of zombies, we simply divide that number by 9.
In this case, we want to know how many crystals Lilly needs to raise 6174 zombies. So we divide 6174 by 9
= 6174 / 9
Divide the numbers
= 686
This means that Lilly needs 686 dark power crystals to raise 6174 zombie
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The given question is incomplete, the complete question is:
Lilly is using dark power crystals to raise an army of zombies.each crystal can raise 9 zombies. how many crystal does Lily need to raise 6174 zombies
In AABC,
48
48
50
Given: AQRS where m2 Q = 20° and m/S= 90°
1,000 meters
Q
What is the length, to the nearest meter, of RS?
R
S
The length of RS is approximately 73 meters (to the nearest meter).
What is Law of sines ?
The Law of Sines is a trigonometric formula that relates the side lengths of a triangle to the sine of its angles. It states that in any triangle ABC:
a / sin(A) = b / sin(B) = c / sin(C)
where a, b, and c are the side lengths of the triangle, and A, B, and C are the opposite angles.
This formula can be used to solve for the unknown sides or angles of a triangle when given enough information about the other sides and angles. The Law of Sines is especially useful when dealing with triangles that are not right triangles, or when only a few side lengths and angles are known.
According to the question:
We can solve this problem by using the Law of Sines and the fact that the sum of the angles in a triangle is 180 degrees.
First, we can find the measure of angle A in triangle ABC:
A = 180 - 48 - 48 = 84 degrees
Next, we can use the Law of Sines to find the length of side AC:
sin(84) / 50 = sin(48) / AC
AC = sin(84) * 50 / sin(48) ≈ 64.4
Now, we can use the fact that the sum of the angles in triangle AQS is 180 degrees to find the measure of angle QAS:
QAS = 180 - 20 - 90 = 70 degrees
Finally, we can use the Law of Sines again to find the length of RS:
sin(70) / RS = sin(48) / AC
RS = sin(70) * AC / sin(48) ≈ 72.6
Therefore, the length of RS is approximately 73 meters (to the nearest meter).
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Math school please need help
Answer:
r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29
So the equation of this circle is
(x - 4)² + (y - 4)² = 29
A standing inspector picks up 20 lb castings from a pallet the floor and lift it 50 inches high with a horizontal distance of 20 inches for first visual inspection. He then puts the casting on a work area 25 inches from the floor and closer to the body (a minimum horizontal distance) for second inspection. Assume a frequency of 1 lift per minute over 8 hours (multiplier=0.75) and a poor coupling multiplier (0.90). This led to the following calculations RWLorg = 51 (10/20) (1 - .0075/50-30) (82 +1.8/50) (1 -.0032 (0)) (0.75) (0.90) = 12.52 RWLdest = 51 (10/10) (1 - .0075/25-30) (.82 + 1.8/25) (1 -.0032 (0)) (0.75) (0.90) = 29.56 LI = 20/12.03 -1.66 LI = 20/29.56 = 0.68 1.1 Which lift is acceptable according to the NIOSH guidelines? (2) You were requested to investigate the above situation and recommend changes to the layout to get the Ll value below a value of 1 (company policy). Shortly discuss what changes you will make and then show the calculated results of your suggested changes proving that LI will be below 1 using formulas provided. (10) 1 RWL = 51 (10/H) (1 -.0075 V-301) (.82 +1.8/D) (1 -.0032A) (FM) (CM) LI = load weight/RWL
According to the NIOSH guidelines, a lifting index (LI) value below 1 is considered acceptable, indicating a low risk of developing work-related musculoskeletal disorders.
In the given scenario, the LI values for the two lifts are calculated as follows:
For the first lift:
LI = 20/12.52 = 1.60
For the second lift:
LI = 20/29.56 = 0.68
Based on these calculations, the second lift with an LI value of 0.68 is acceptable according to the NIOSH guidelines since it is below the threshold of 1.
To reduce the LI value below 1, several changes can be made to the layout and lifting procedure:
Reduce the weight of the castings: If it is possible to use lighter castings, it would decrease the load weight, resulting in a lower LI value.
Modify the work area height: Adjusting the work area height to a lower level, closer to the inspector's body, would decrease the vertical distance of the lift and consequently lower the LI value.
Optimize the horizontal distance: If feasible, reposition the work area closer to the inspector's body to reduce the horizontal distance of the lift, which would contribute to a lower LI value.
By implementing these changes, the new LI values can be calculated using the provided formulas to ensure compliance with the company policy of maintaining an LI value below 1.
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Which detail adds tension to the rising action of the story?
Mowgli grows stronger and learns life lessons without knowing it. Mother Wolf tells Mowgli that some day he will have to kill Shere Khan. Mowgli forgets his mother’s advice because he is a young boy. Mowgli would call himself a wolf if he had the ability to speak like a human
The detail that adds tension to the rising action of the story is when Mother Wolf tells Mowgli that some day he will have to kill Shere Khan.
This statement introduces a sense of conflict and foreshadows a significant challenge that Mowgli must face in the future. The idea of Mowgli, a young boy raised by wolves, confronting and defeating the powerful and dangerous Shere Khan adds suspense to the story, as readers anticipate the eventual showdown between these two characters.
Other details, such as Mowgli growing stronger and learning life lessons, or Mowgli forgetting his mother's advice, are relevant to his character development, but do not contribute as directly to the story's tension. Similarly, Mowgli considering himself a wolf and lacking the ability to speak like a human reflects his unique upbringing, but does not add tension in the same way as the impending confrontation with Shere Khan.
In conclusion, Mother Wolf's warning about Mowgli's future encounter with Shere Khan adds tension to the rising action of the story, as it sets up an exciting and challenging conflict for the protagonist to face, capturing the reader's interest and anticipation.
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PLEASE HELP ME ANSWER ASAP
L = k/f, where k is the variational constant, is the formula for the inverse variation.
Inverse proportionsA mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.
Using the variables length of violin 'l' and frequency of vibration 'f'
If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:
l α 1/f
l = k/f
Hence the formula for the inverse variation is l = k/f where k is the constant of variation.
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ty-qy+p=r solve for y
Answer:
\(\huge\boxed{y= \frac{r-p}{t-q}}\)
Step-by-step explanation:
In order to solve for y in this equation, we can algebraically manipulate it to isolate y one one side of the equation.
Step 1: Subtract \(p\) from both sides of the equation.
\(ty - qy + p - p = r\) \(ty-qy=r - p\)Step 2: Factor out the common term \(y\) from the left side
\(y( t-q ) = r-p\)Step 3: Divide both sides by \(t-q\)
\(\frac{y(t-q)}{t-q} = \frac{r-p}{t-q}\) \(y = \frac{r-p}{ t-q}\)Hope this helped!
i don't understand this i need help like helppp please
Answer:
\(x = 110 \\ (exterio \: angles \: of \: a \: traingle \: sum \: up \: to \: 360)\)
Answer:
x = 110
Step-by-step explanation:
Assuming you require the value of x
The sum of the external angles of a triangle = 360°
The 3 angles shown are external angles.
Subtract the sum of the 2 given angles from 360 for x
x = 360 - (140 + 110) = 360 - 250 = 110
PLSS HELPP!!
What is the constant rate of change
shown in the table?
Answer:
Step-by-step explanation:
The number double every time
Answer:
The constant rate of change is $25, because for each shirt, the cost is $25.
Step-by-step explanation:
1 = 25
2 = 50
3 = 75
4 = 100
5 = 125
6 = 150
7 = 175
8 = 200
ROC = 25
I need help please!!
A cylinder has a volume of about 300 cm3. What are two possible surface areas for the cylinder?
first possibility
radius 4
height 5.97
second possibility
radius 6
height 2.66
T/F if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.
The expression aₙ > 0 and lim n → [∞] aₙ + 1 is true.
The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation.
Here we have given that if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.
And we need to check whether the given statement is true or not.
While we looking into the given question, we have identified the following expression,
=> lim n → [∞] aₙ + 1
Here we have also know that the value of aₙ > 0.
When we equate the given expression with zero, we have get the following expression,
=> lim n → [∞] aₙ + 1 = 0
=> lim n → [∞] aₙ = -1
Here we have given the condition that, aₙ >0, so
=> lim n → [∞] aₙ = 0
Therefore, the expression is zero.
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What are the pros and cons of GINI coefficient. Compare GINI with percentile ratio measures of
inequality.
The GINI coefficient is a statistical measure used to quantify income inequality within a population. It ranges from 0 to 1, where 0 represents perfect equality and 1 represents extreme inequality.
Here are the pros and cons of the GINI coefficient:
Pros:
1. Simplicity: The GINI coefficient is easy to understand and calculate, making it a widely used measure of inequality.
2. Comparative Analysis: It allows for comparison of inequality levels across different countries or regions, providing insights into the distribution of income and wealth.
3. Sensitivity to Changes: The GINI coefficient is sensitive to changes in the income distribution, making it useful for tracking trends over time.
Cons:
1. Limited Scope: The GINI coefficient does not capture all aspects of inequality, such as differences in education or health outcomes.
2. Insensitive to Middle Class Changes: It may not reflect changes in the middle-income groups, as it focuses on the extremes of the income distribution.
3. Data Limitations: The accuracy of the GINI coefficient depends on the quality and availability of data, which can vary across countries and time periods.
Comparing GINI with percentile ratio measures of inequality:
GINI coefficient provides an overall measure of inequality, while percentile ratio measures focus on specific income percentiles (e.g., top 10% vs. bottom 10%). Percentile ratios give more detailed information about the income distribution at specific points, but they may not capture the overall inequality picture. Both measures have their strengths and weaknesses and can be used in conjunction to gain a comprehensive understanding of income inequality.
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The table below shows all of the possible outcomes for rolling two six-sided number cubes.
A table containing 36 possible outcomes. There are 5 desired outcomes.
What is the probability of rolling a sum of 8?
1/12 is the right answer
On Wednesday, Joel, who is right-footed, takes exactly 20\%20%20, percent of his practice shots on goal with his left foot. Joel takes 141414 shots with his left foot.
How many total shots on goal did Joel take on Wednesday?
Answer:
5
Step-by-step explanation:
Answer:
Joel took 70 total shots on goal on Wednesday.
Step-by-step explanation:
Of Joel's total shots on goal, 20 percent were with his left foot. He took 141414 shots with his left foot. 14 is 20, percent of what number?
€50,
Assignment
find the nth term of a GP vouch
first term = 5, commora_roteo=2
51
first term=16 commonratio=3
Second, term = 44, common ratio = 2/₂
Sixth term = 243, common ratio = -3
The common ratio (r) = 8.8 ÷ 5 = 1.76The nth term is given by a × r^(n-1) = 5 × (1.76)^(n-1)2. First term = 16, common ratio = 3The second term is given by a × r^(1-1) = a = 16 × 3^(1-1) = 16 × 1 = 16To find the nth term, we use the formula a × r^(n-1) = 16 × 3^(n-1)3. Sixth term = 243, common ratio = -3The first term is given by a = 243 ÷ (-3)^(6-1) = 3The nth term is given by a × r^(n-1) = 3 × (-3)^(n-1)Therefore, the nth terms for the three given scenarios are:5 × (1.76)^(n-1)16 × 3^(n-1)3 × (-3)^(n-1)
A geometric progression (GP) is a sequence of numbers in which each term after the first is obtained by multiplying the preceding term by a fixed number known as the common ratio (r).The nth term of a geometric progression (GP) with first term (a) and common ratio (r) is given by a × r^(n-1). In order to find the nth term of the given geometric progression, we need to first determine the value of the common ratio (r) and the first term (a) for each of the three different scenarios given. Once we have these values, we can use the formula above to calculate the nth term for each scenario. 1. First term = 5, common ratio = 2/5To find the common ratio (r) we divide the second term by the first term.44 ÷ 5 = 8.8 (approx.)
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Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x – 24y = 72
Consider the function below. (If an answer does not exist, enter DNE.)h(x) = 5x3 − 3x5(a) Find the interval of increase. (Enter your answer using interval notation.)(−1,0)∪(0,1)
The interval in which the function h(x) = 5x³ - 3x^5 is increasing is given as follows:
(−1,0)∪(0,1).
How to obtain the intervals in which the function is increasing?The function in this problem is defined as follows:
h(x) = 5x³ - 3x^5.
To obtain the intervals for increase of decrease, the critical points of the function need to be obtained, which are the values of x for which the derivative is of zero.
The derivative of the function in this problem is given as follows:
h'(x) = 15x² - 15x^4.
Hence the critical points of the function are given as follows:
15x² - 15x^4 = 0
15x²(1 - x²) = 0.
Hence:
15x² = 0 -> x = 0.1 - x² = 0 -> x² = 1 -> x = -1, x = 1.Then the signals of the derivative in each interval is given as follows:
x less than -1: negative, as (1 - x²) < 0.x between -1 and 0: positive, as (1 - x²) > 0.x between 0 and 1: positive, as (1 - x²) > 0.x greater than 1: negative, as (1 - x²) < 0.The function is increasing when the derivative is positive, hence the interval is given as follows:
(−1,0)∪(0,1).
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what is 925 divided by 264
Answer:
3.50378787879
Step-by-step explanation:
Answer:
Exact Form:
925
___
264
Decimal Form:
3.503
^^78
Mixed Number Form:
133
3 ___
264
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Diane earns $14,500 a year. She pays 11% of her gross income for federal, state, and local taxes. She is taxed at the FICA rate of 7.65%. She has 3.5% of her income withheld for personal deductions. She is paid biweekly. What is her net pay for each pay period? Round to nearest cent.
Answer:
$434.16346
Step-by-step explanation:
Given that :
Gross earning= $14500
Federal, state and local taxes = 11%
0.11 * $14500 = $1595
FICA tax rate = 7.65%
0.0765 * 14500 = $1109.25
Personal deduction :
3.5% * 14500
0.035 * 14500 = $507.50
Total deduction :
$(1595 + 1109.25 + 507.50)
= $3211.75
Net earning : $(14500 - 3211.75) = 11288.25
Since she is paid bi weekly:
Number of biweeks in a year = 52 /2 = 26
Number of payments per annum = 26
Hence,
Net pay per period :
11288.25 / 26
= $434.16346
=
I don’t know how to solve these graphs. Can you please help me?
The equation of the line with slope m and y-intercept b is given by:
\(y=mx+b\)In this case the slope is 5 and the y-intercept is -2; then we have that the equation of the line is:
\(y=5x-2\)Now that we have the equation of the line we can use it to find points on the line, we do that by given values to x (whichever values we want) and use the equation to determine its corresponding y value.
If x=0, then we have:
\(\begin{gathered} y=5(0)-2 \\ y=-2 \end{gathered}\)Hence, the line passes through the point (0,-2).
If x=1, then we have:
\(\begin{gathered} y=5(1)-2 \\ y=5-2 \\ y=3 \end{gathered}\)Hence, the line passes through the point (1,3).
Now that we have two points on the line we graph them on the plane:
Finally, we join the points with a straight line. Therefore, the graph of the line is:
This graph shows the relationship between numbers of cookies (c) sold and profit earned (p).
Enter an equation to represent the number of cookies sold and profit earned.
Based οn the infοrmatiοn prοvided, we can see that the prοfit earned (p) is prοpοrtiοnal tο the number οf cοοkies sοld (c).
We can write the equatiοn as:
p = 0.25c
This equatiοn means that fοr every cοοkie sοld, the prοfit earned is $0.25. We can alsο write this equatiοn in slοpe-intercept fοrm as:
y = mx + b
where y represents prοfit earned (p), x represents the number οf cοοkies sοld (c), m represents the slοpe (0.25 in this case), and b represents the y-intercept (the value οf y when x is 0, which is 0 in this case).
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The scale on a map reads
1/2 inch = 30 miles. If two cities on the map are 5 3/4 inches apart, find the actual distance between the cities
Answer:
The actual distance between cities = 345 miles
Step-by-step explanation:
Given that:
Scale on map is
1/2 inch = 30 miles
0.5 inch = 30 miles
Distance between two cities on map = \(5\frac{3}{4}\) = \(\frac{23}{4}\) = 5.75 inches
Actual distance = x
As the relationship is proportional
0.5 : 30 :: 5.75 : x
Product of mean = Product of extreme
30*5.75 = 0.5x
172.5 = 0.5x
0.5x = 172.5
Dividing both sides by 0.5
\(\frac{0.5x}{0.5}=\frac{172.5}{0.5}\\x=345\)
Hence,
The actual distance between cities = 345 miles
For the statement S := ∀n ≥ 20, (2^n > 100n), consider the following proof for the inductive
step:
(1) 2(k+1) = 2 × 2k
(2) > 2 × 100k
(3) = 100k + 100k
(4) > 100(k + 1)
In which step is the inductive hypothesis used?
A. 2
B. 3
C. 4
D. 1
The inductive hypothesis is used in step C.
In step C, the inequality "100k + 100k > 100(k + 1)" is obtained by adding 100k to both sides of the inequality in step B.
The inductive hypothesis is that the inequality "2^k > 100k" holds for some value k. By using this hypothesis, we can substitute "2^k" with "100k" in step B, which allows us to perform the addition and obtain the inequality in step C.
Therefore, the answer is:
C. 4
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