Answer: The cost per bag is $27
Step-by-step explanation:
Divide 135 by 5 = 27
Unit ratio means that if you know the rate per unit, you can calculate the cost by multiplying the constant rate by the number of units. In this question, the rate is $27 and the unit is the bag.
The ratio looks like
1:27 as 2:54 as 3:81 as 4:108 as 5:135
They are all equivalent to 1/27
y = 27x is another way of writing an equation for this ratio.
how would I find the equation of this graph
Answer:
y = sec(x-2) - 1
Step-by-step explanation:
We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.
What is the best description of originality?
nonobvious
special or interesting
convergent
having a low probability, unique
Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.
An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.
Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.
Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.
Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.
In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
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1. Five-sixths of the students in a math class passed the first test. If there are 36 students in the class, how many did not pass the test? *
Answer:
(1/6) of the students did not pass.
Ans: (1/6)30 = 5 of the students did not pass
To solve this question, we need to first figure out, in fractional form, the number of students who did not pass. The problem tells us that 5/6 of the students passed. Therefore, we know that 1/6 of the students did not pass, because 5/6 + 1/6 = 1. So, all we need to do is multiply 1/6 by the total number of students:
1/6 * 36 = 6
So, 6 students did not pass.
5 people cleared a plot of land in 15 days.How many people would i need to hire to clear three times that plot in 5 days
Answer:
45 people
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
ln 15 days 5ppl work
ln 15 days if three times of that ppl work=5×3
=15ppl
So in 1 day=15×15\5 ppl
=45ppl
lt takes 45ppl to clear three times the plot in 5 days.
100 POINTS PLZ HELP ME
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a ratio in simplified form by filling in the boxes.
$$
A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 1 over 4 end fraction comma 3 over 8 end fraction right parenthesis.
Answer:
I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate
Step-by-step explanation:
if you add a graph, ill edit my answer
hope this helps!
How to Calculate an Unknown Total When You Know the Amount of the Percent
Answer:
Let A be the amount of the percentage, P% the percentage, and x be the unknown total, then we can set the following equation:
\(A=x\cdot\frac{P}{100}\text{.}\)Therefore, to find the total amount we solve the above equation for x:
\(\begin{gathered} A=x\cdot\frac{P}{100}, \\ \frac{A}{P}\cdot100=x\text{.} \end{gathered}\)Example: If we know that the 30% of x is 60, then:
\(x=\frac{60}{30}\cdot100=200.\)A hose fills a hot tub at a rate of 2.82
gallons per minute. How many hours will it take to fill a 303
-gallon
hot tub?
Answer:
Step-by-step explanation:
60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours
If APR on credit card is 17.8% what is the daily percentage rate (DPR)?
The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.
Given the Annual Percentage Rate (APR) on credit card is 17.8%.
Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.
To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).
So, given APR = 17.8%
Now, daily percentage rate will be:
⇒ Daily percentage rate = Annual Percentage Rate ÷ 365
⇒ DPR = APR / 365
⇒ DPR = 17.8% ÷ 365
⇒ DPR = 0.048%
Therefore, daily percentage rate (DPR) is equal to 0.048%.
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f(x)=4x 2 +6x−2 \text{Find }f(-5) Find f(−5)
The value of f(-5) for the given function will be either 100 or 70.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
Given the function,
\(f(x)=4x 2 +6x−2 \text\)
If a cap is the cross product
\(6x−2 \text\) = 0
So,
f(x) = 4x²
SO,
f(-5) = 100
If a cap is the dot product
\(6x−2 \text\) = (6x)
So,
f(-5) = 100 + 6(-5) = 70
Hence the value of the function at -5 will be 100 or 70.
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a class of 15 students had a spelling test condsisteting of ten words. the number of spelling mistakes made by each student is listed in the data below.
1, 2 ,1 ,0 ,3 ,1 ,2 ,3 ,1 ,2 ,0 ,4 ,2 ,3, x
A: If there are 2 modes, what are the possible values of x?
B: If there is exactly one mode, write a possible value for x, and the mode.
Step-by-step explanation:
A: If there are 2 modes, x can be either 1 or 2.
B: To find the mode of the data set, we need to count how many times each number appears.
- 0 appears 2 times
- 1 appears 4 times
- 2 appears 4 times
- 3 appears 3 times
- 4 appears 1 time
Since both 1 and 2 appear 4 times in the data set, there are two modes.
For x, if we add it to the data set, then the mode must be x plus either 1 or 2.
If we choose x to be 2, then the mode would be 2, since 1 and 2 each appear 4 times, and adding another 2 would make it the mode.
So a possible value for x could be 2, and the mode would be 2.
Check off all factors of the given number 9,301
Answer:
1, 71, 131, and 9301.
Step-by-step explanation:
Marianna finds an annuity that pays 8% annual interest, compounded quarterly. She invests in this annuity and contributes $10,000 each quarter for 6 years. How much money will be in her annuity after 6 years? Enter your answer rounded to the nearest hundred dollars.
The amount of money in Marianna's annuity after 6 years will be approximately $300,516.
To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:
A = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where:
A = the final amount in the annuity
P = the regular contribution (each quarter) = $10,000
r = annual interest rate = 8% = 0.08
n = number of compounding periods per year = 4 (since it's compounded quarterly)
t = number of years = 6
Plugging in the values:
A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)
Calculating this expression:
A ≈ 10000 * ((1.02)^24 - 1) / 0.02
A ≈ 10000 * (1.601032449136241 - 1) / 0.02
A ≈ 10000 * 0.601032449136241 / 0.02
A ≈ 10000 * 30.05162245681205
A ≈ 300,516.22
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Answer:
304200
Step-by-step explanation:
To find the value of P6, use the savings annuity formula
PN=d((1+r/k)N k−1)r/k.
From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives
P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).
Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.
Rounding as requested, our answer is 304200.
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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For what value of A is the function, (x), continuous at x=0?
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1
(iii) h(0) = 1/7
The value of λ must be 7, for h(x) to be continuous at x = 0.
The given function is,
h(x) = 1/7, when x = 0
= 1 - 2 cos 2x, when x < π/2
= 1 + 2 cos 2x, when x > π/2
= x cos x/sin λx, when x < 0
Now,
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1
(iii) h(0) = 1/7
Since the function is continuous at x = 0, so
\(\lim_{x \to 0}\) h(x) = h(0)
\(\lim_{x \to 0}\) x cos x/sin λx = 1/7
\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7
1/λ = 1/7
λ = 7
Hence the value of λ must be 7.
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it takes Barry 634 hours to detail a car. If he worked 81 hours during the week, how many cars did he detail?
Answer:
He would have detailed 16 cars.
Step-by-step explanation:
912/57=16
" I hoped I helped you matey : - ) "
14 points! PLEASE HELP!!!
Step-by-step explanation:
I just did in the other posting. how often did you post it ?
this is a trick question. the triangle at the top is not an isoceles triangle.
we use Pythagoras for an the steps.
so, the left part of the baseline (split by the height) is calculated by
12² = 10² + part²
144 = 100 + part²
part = sqrt(44) = 6.633249581... ft
the other part is then
20 - 6.633249581... = 13.36675042... ft
and the second leg of the large triangle is
leg² = 10² + 13.36675042...² = 278.6700168...
leg = 16.69341238... ft
P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈
≈ 64.69 ft
please see the answer to the other posting for more details.
please answer asap!!!
A statement that is true about the system shown above include the following: B. the objective function for the system has no possible optimal values.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (1 - 5)/(1 - 0)
Slope (m) = -4/1
Slope (m) = -4.
At data point (0, 5) and a slope of -4, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -4(x - 0)
y = -4x + 5
y ≥ -4x + 5 (since the solid line is shaded above)
For the second line, we have:
y ≥ 3 (since the solid line is shaded above).
Since the feasible region is unbounded, we can logically deduce that the objective function for this system of equations has no possible optimal values.
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Please help. I’ll mark you as brainliest if correct!
Answer:
y=1/3x +16/3
Step-by-step explanation:
m=(y2-y1) / (x2-x1)
=(6-5) (2- -1)
=1/3
Substitute in m and either point into the point slope form
y=m(x-x1) + y
y=1/3(x- -1) +5
y=1/3(x+1) +5
Now lets distribute the 1/3 to and combine the constants to put the answer in standard form
y=1/3x + 1/3 + 5
y=1/3x +1/3 + 15/3
y=1/3x +16/3
ANSWER ASAP THE RIGHT ANSWER GETS BRAINIEST!!!
Which graph shows a non-proportional tinear relationship between x and y
A
с
B
D
Determine the rate of this problem -> A 18-kg bag of cherries for $2.65 =_____per kg
Answer:
$0.14 per kg
Step-by-step explanation:
A 18-kg bag of cherries for $2.65
for 1 kg
\( \frac{2.65}{18} = 0.14 \\ \)
so, the answer is $0.14
2 A square has sides of length (x + 2) cm. A right-angled isosceles triangle has its two equal sides of length (2x + 1) cm. The area of the square is equal to the area of the triangle. (x + 2) cm (2r + 1) cm Diagram NOT accurately drawn (2r + 1)cm a) Write down an equation in .x. b) Show that your equation simplifies to 2x² - 4x - 7 = 0
Answer:
2x^2-4x-7=0 according to factorization rule we must have to multiply first and last 2×7 =18 May me this question is mistake
To create a chocolate blend chocolate in two concentrations 61% cocoa and 51% cocoa are combined together if 18 ounces of the 61% chocolate is used
Answer:
To create a chocolate blend using 61% cocoa and 51% cocoa, 18 ounces of the 61% chocolate and an appropriate amount of the 51% cocoa are combined together. The exact amount of 51% cocoa required will depend on the desired concentration of the final blend.
Step-by-step explanation:
Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return
The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, the graph of a hyperbola is shown.
In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.
The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.
The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.
A fraction with a denominator of zero cannot exist.
The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.
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Four sided pyramid with oranges stacked six layers high.
How many oranges?
Answer:
24
Step-by-step explanation:
i might be misinterpreting the question but i think you would just do 6 × 4 = 24
Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer: 53.5 seconds
Step-by-step explanation:
Analyze the graph of the function f(x) to complete the statement. On a coordinate plane, a curved line, labeled f of x, with a minimum value of (0, negative 3) and a maximum value of (negative 2.4, 17), crosses the x-axis at (negative 3, 0), (negative 1.1, 0), and (0.9, 0), and crosses the y-axis at (0, negative 3). f(x)<0 over and what other interval?
The interval where function f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)
We have,
The function f(x) crosses the x-axis at (-3, 0), (-1.1, 0), and (0.9, 0), it means that f(x) is negative for x values less than -3, between -1.1 and 0.9, and greater than 0.
Therefore, we can say that:
f(x) < 0 for x < -3 and -1.1 < x < 0.9
And,
The function f(x) has a minimum value of (0, -3) and a maximum value of (-2.4, 17).
This means that f(x) is positive for x values greater than -2.4. Therefore, we can say that:
f(x) > 0 for x > -2.4
Now,
Combining these inequalities, we can say that f(x) is negative over the intervals (-∞, -3) and (-1.1, 0.9), and positive over the interval (-2.4, ∞).
So,
The interval where f(x) is negative and greater than 0 is:
(-∞, -3) U (-1.1, 0)
Thus,
The interval where f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)
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Any help would be geeat
Answer:
90 feet
Step-by-step explanation:
==>Given:
Rectangular room measuring 21 feet by 23 feet
==>Required:
Perimeter of the room = the length of all sides of the room
==>Solution:
Using the formula P = 2L + 2W, we can find the perimeter of the rectangular room assuming that length big the room (L) = 23 ft, while the width (W) = 22 ft.
Therefore,
P = 2(23) + 2(22)
P = 46 + 44
P = 90 ft
Perimeter of the room = 90 feet
1) Which choice best represents the height of a clothes dryer. A 1 meter B kilometer c1 centimeter D. 1 millimeter
Michael is going to invest $15,000 into two savings accounts to save money to buy a house.
Bank of Texas account will earn 6.75% in simple interest.
United Texas Bank will earn 8% in simple interest.
What is the sum of the interest the two accounts will earn at the end of 5 years?
Answer:
Bank of Texas = $10,031.35
United Texas Bank = $10,500.00
Step-by-step explanation:
Bank of Texas
A=P(1+rt)
P=$7,500
r=6.75%
t=5 years
$10,031.35
refer the pic
United Texas Bank
A=P(1+rt)
P=$7,500
r=8%
t=5 years
$10,500.00
refer the sec pic
80 POINTS HURRY PLSSS !! a) b) and c) pls
Answer:
Step-by-step explanation:
Is in the piece joint