Answer:
A x=-8 or x=-2
B x=-4 or x=-3
C x=-1 or x=-12
two inlet pipes lead into a large water tank. one pipe can fill the tank in 45 minutes; the other can fill it in 40 minutes. to the nearest tenth of a minute, how long would it take the two pipes together to fill the tank if both were opened at the same time?
It take 21.2 minutes longer to fill both the pipe together if both were opened at the same time.
What is fraction?In mathematics, fractions are used to represent proportions/parts of a whole. represent the same part of the whole. The top number is called the numerator and the bottom number is called the denominator. The numerator express the number of equal parts and the denominator defines the total number of equal parts of the whole.
Based on the given condition- formulation is-
1/1/45+1/40
We have to find the common denominator and then we can write the numerators above the common denominator
1/(8/45×8 + 9/40×9)
Now we have to calculate the product
1/(8/360+9/40×9)
1/(8+/360+9/360)
We have to write the numerators over common denominator
1/ 8+9/360
= 1/17/360
Divide a fraction by multiplying it's reciprocal
=360/17
= 21.2 m
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Create a system where the solution is (3,-4)
4x+1 y=8
(?)x+(?)y=(?)
(3,-4)
The system of equations that satisfies the solution (3, -4) is:
4x + 1y = 8
2x - 3y = -17
How to Create a system where the solution is (3,-4)To create a system of equations where the solution is (3, -4), we can assign arbitrary values to the coefficients of the equations. Let's use the following values:
Equation 1: 4x + 1y = 8
Equation 2: 2x - 3y = -17
By plugging in the values (3, -4) into these equations, we can find the missing coefficients:
Equation 1: 4(3) + 1(-4) = 12 - 4 = 8
Equation 2: 2(3) - 3(-4) = 6 + 12 = 18 - 17 = -17
Therefore, the system of equations that satisfies the solution (3, -4) is:
4x + 1y = 8
2x - 3y = -17
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Which describes the range of the parent absolute value function?
Answer:
C
Step-by-step explanation:
Just did the Unit Review
Determine the intercepts, you’ll be given an options for your answer please explain why you chose his answer:)
X intercept Options
A.(-2,14) B.(-1,0) C.(0,2) D.(1,4)
Y intercept Options
A.(-2,14) B.(-1,0) C.(0,2) D.(1,4)
Thank you:)
Answer:
x-int: B.
y-int: C.
Step-by-step explanation:
The x-intercepts are when the line crosses at the x-axis when y=0
The y-intercepts are when the line crosses at the y-axis when x=0
The following shape has 2 pairs of parallel sides.
4
4
8
2
What is the area of the shape?
units?
Answer:
28
Step-by-step explanation:
1/2xbxh=4
To find the total area of the shape, we can subtract the removed area from the larger area. 32-4=28
Helpppp and explain pls and ty
Step-by-step explanation:
2 gallons are needed for 10 galloms of lemonade
4.(06.07 HC)A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table below shows the data:Number of hours spent studying 0 0.5 1(x)1.5 2 2.5 33.54Score on science test(y)57 62 67727782 879297Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer. (4 points)Part B: Write a function which best fits the data. (3 points)Part C: What does the slope and y-intercept of the plot indicate? (3 points)(10 points)
For part A. One way to know if there is a correlation between the data is to graph the data set, like this
Then, as can you see the data presents a positive linear correlation.
For part B. You can take the coordinates of two points and find the slope of the line using the formula
\(\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{ Where m is the slope of the line and} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}\)If you take
\(\begin{gathered} (x_1,y_1)=(1,67) \\ (x_2,y_2)=(3,87) \\ \text{ You have} \\ m=\frac{87-67}{3-1} \\ m=\frac{20}{2} \\ m=10 \end{gathered}\)Now, using the slope formula, you can find the equation of the line in its slope-intercept form
\(\begin{gathered} y-y_1=m(x-x_1) \\ y-67=10(x-1) \\ y-67=10x-10 \\ \text{ Add 67 on both sides of the equation} \\ y-67+67=10x-10+67 \\ y=10x+57 \end{gathered}\)Therefore, the function that best fits the data is
\(y=10x+57\)For part C. The slope of the plot is 10 and indicates that for every hour students spend time studying, they get 10 more points on the science test.
The y-intercept of the plot is 57 and indicates that if students study 0 hours for the science test, they will obtain 57 points as a grade.
Shan exercises daily. Today he did 85 pushups, which is 20 more than he usually does. How many pushups p does Shan usually do? Write an equation to represent this situation, and then solve the problem.
[equation]
Shan does [ ] pushups
Answer:
85 - 20 = p
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Equation: 85-20=65
someone pls help am i on the verge of tears♀️
Answer:
trial 4 you got this!
Step-by-step explanation:
see how its 22 22 22 22 22 22 than it says 22-24
A cohort study of people who were admitted to hospital for a stroke looked at the association between admission to hospital on weekdays (Monday to Friday) or the weekend (Saturday and Sunday) with in-hospital mortality. The data from the study are reported in Table 1 below. In this question, provide all working for your calculations.
Table 1: In hospital mortality, by admission period (weekday or weekend), among people admitted to hospital for a stroke:
Deaths
Number of people admitted
Weekend admission
2467
23297
Weekend admission
5929
70324
Total
8396
93621
Now calculate and interpret the population attributable fraction for weekend admissions.
What further information would you wish to know to assess the validity of your conclusions?
The formula to calculate the population attributable fraction (PAF) for weekend admissions is as follows:
Population Attributable Fraction
(PAF) = (Pe * [RR - 1]) / [Pe * (RR - 1) + 1]
Where Pe = Proportion of patients exposed (weekend admissions)
RR = Relative risk of the exposed group (mortality rate of weekend admissions/mortality rate of weekday admissions)
PAF for weekend admissions
PAF = (23297/93621) * [(5929/2467) - 1] / [(23297/93621) * [(5929/2467) - 1] + 1]
= 0.1455 or 14.55%
The PAF for weekend admissions is 14.55%.
This means that 14.55% of in-hospital mortality among people admitted for a stroke could be attributed to weekend admissions.
What further information is required to assess the validity of the conclusions?
It's critical to know if there are any other variables that might influence the association between weekend admissions and in-hospital mortality.
If so, then the current estimates might be biased.
Furthermore, because this is an observational study, it cannot establish causality.
As a result, any conclusions made must be interpreted with caution.
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3. Brittney randomly selected 30 cars in a parking lot and determined each car's year of manufacture. She
made this stem-and-leaf plot to show the results.
A. There are about 70,000 cars in the city where Brittney lives. According to Brittney's data, about how
many of the cars in her city were manufactured before the year 2000?
( made before 2000 on graph)
(of cars on graph)
(# of cars in her city)
a. Hint: Use a proportion:
B. Find the lower quartile and upper quartile of the data.
C. About how many of the cars in Brittney's city were manufactured between the years you found in part
B7
D. Explain how you found your answer to part C.
A. From the stem and leaf plot below, there are about 28,000 cars manufactured before 2000.
B. lower quartile (Q1) is between the 7th and 8th values (1995+1997)/2 = 1996. Upper quartile is the 23rd and 24th values (2009 + 2010) = 2009.5.
C. The number of cars in the city that were manufactured between 1996 and 2009.5 is 37100.
D. To determine the number of car manufactured in 1996 and 2009.5, first determined the relevant proportions from the sample data. Then, multiply the proportion by the total number of cars in the city to estimate the number of cars manufactured before between 1996 and 2007.5,
How do we calculate the numbers of cars manufactured within a given period of time using the stem-and-leaf plot?A. To find the number of cars manufactured at the given period, we find the number of cars sampled that were created before 2000. From the stem-and-leaf plot, we can see that there are 12 cars manufactured before 2000.
Proportion of cars = 12/30 = 0.4.
Using the proportion, we find the number of cars manufactured before 2000.
70,000 × 0.4.
=28,000
B The lower quartile (Q1) is the 25th percentile, and the upper quartile (Q3) is the 75th percentile.
= 0.25×(n+1)
= 0.25×(30+1)
= 7.75 Therefore the lower quartile is between 7th and 8th values.
Q1 = (1995+1997)/2 = 1996.
0.75×(n+1)
= 0.75×(30+1)
= 23.25 Therefore the upper quartile is between 23rd and 24th values.
(2009+2010)/2 = 2009.5
C. There are 16 cars manufactured between 1996 and 2009.5
16/30 = 0.53
= 70,000×0.53
= 37100
The answer provided is based on the stem and leaf plot below
3. Brittney randomly selected 30 cars in a parking lot and determined each car's year of manufacture. She made this stem- and-leaf plot to show the results.
CARS IN PARKING LOT-YEAR OF MANUFACTURE
197 | 1
198 | 26
199 | 345577899
200 | 12455677899
201 | 0011222
Key: 197 |1 = 1971
A There are about 70,000 cars in the city where Brittney lives. According to Brittney's data, about how many of the cars in her city were manufactured before the year 2000?
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what is 2 plus 2
a. 3
b. 4
c. 1
d. 7
Answer:
I have to say 4
Step-by-step explanation:
2nd my MD du web mi if
Your Answer :
B. 4
Step - By - Step Explanation :
We have two digits. 2 and 2.
The value of 2 is equivalent to 1 apple next to another apple. There are two apples.
What if there were two more apples? Now you have 2 apples next to another pair of apples. Now let's count all the apples.
One apple,
Two apples,
Three apples,
Four apples.
There are 4 apples all together.
So, 2 + 2 has a sum of 4.
The points in the table lie on a line. Find the slope of the line.
Answer:
-7/6
explanation
if the points correlating to the (x,y) functions are plotted out on a graph, using the rise-over-run method will result in finding a slope of -7/6
Mrs hall is making a circular hard for our outdoor green space.the garden has a diameter of 11m.she has to buy plastic fencing to put around the edge. The fencing costs $5.75 per meter ($5.75/m).how much did mrs hall spend on the plastic fencing?
If Mrs hall is making a circular hard for our outdoor green space the garden has a diameter of 11m then Mrs. Hall spent $198.37 on the plastic fencing.
The circumference of a circle can be calculated as C = πd, where d is the diameter and π is approximately 3.14.
The diameter of the garden is 11m, so the circumference is:
C = πd
= 3.14 × 11m
= 34.54m
Mrs. Hall needs to buy enough plastic fencing to go around the edge of the circular garden, which has a length equal to the circumference of the circle.
The cost of the fencing is $5.75 per meter, so the total cost will be:
Total cost = cost per meter × length of fencing
= $5.75/m × 34.54m
= $198.37
Therefore, Mrs. Hall spent $198.37 on the plastic fencing.
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solve for x
x over 7 = 6
Answer:
X = 42
Step-by-step explanation:
What divided by 7 equals 6..... 42! to prove we are right let us plug it into our equation.
42 / 7 = 6
DING DING DING Correct !
Answer:
X = 42
Step-by-step explanation:
Think of this problem as a division problem.
? ÷ 7 = 6
So solve this multiply 7 by 6.
This would leave you with 42.
Therefore 42/7 = 6
Easy Peasy :) Hope this helped! <3
A salesperson at a bargain counter claims that a certain pair of sunglasses has Polaroid filters; you suspect that the glasses are just tinted plastic. How could you find out for sure
To determine if the sunglasses have Polaroid filters or if they are simply tinted plastic, you can obtain a pair of known Polaroid sunglasses for comparison.
Find a light source, such as a desk lamp or the sun.
Look through both pairs of sunglasses at the light source.
Rotate both pairs of sunglasses simultaneously.
Observe the changes in brightness and glare as you rotate the sunglasses.
If the suspected sunglasses are Polaroid, you should notice a significant reduction in glare and brightness at certain angles of rotation.
In contrast, if the suspected sunglasses are tinted plastic, you may still observe some glare and brightness, regardless of the angle of rotation.
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if your paid $48,865.00 annually a year, what would be your salary per week??
Step-by-step explanation:
Divide 48865.00÷7=6980.71 per week
(b) Using part (a), prove that the Euclidean algorithm, applied to inputs a and b, halts in at most 2 log2(b) + 2 steps. One 'step' is one application of the Division Algorithm (i.e. one computation of the % operator), and we assume that computing gcd(a, 1) or gcd(a,0) takes 0 steps.
The Euclidean algorithm applied to inputs a and b halts in at most 2 log2(b) + 2 steps. This is proven by analyzing the efficiency of the algorithm and the relationship between the input values.
To prove this, let's start with the fact that the Euclidean algorithm uses the Division Algorithm, which means it computes the remainder between two numbers (a % b). When we apply this operation repeatedly, the remainders get smaller until we reach 0 or 1, at which point we have found the greatest common divisor (gcd).
Let's consider a sequence of remainders, r1, r2, ..., rn, where r1 = a % b, r2 = b % r1, and so on. Notice that each remainder is strictly smaller than the previous one. Since the sequence of remainders is decreasing, there must be a point where it stops, i.e., it halts.
Now, let's analyze the steps. Each time we apply the algorithm, we cut the input size by at least half. The worst-case scenario occurs when the input values are consecutive Fibonacci numbers, where the algorithm takes roughly log2(b) steps to halve the input size. Since this halving process can happen twice, we get a total of 2 log2(b) steps.
Finally, we add 2 to account for the two initial steps (gcd(a, 1) and gcd(a, 0), which take 0 steps). Therefore, the Euclidean algorithm halts in at most 2 log2(b) + 2 steps.
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express the internal shear in the beam as a function of x for 0≤x≤l3.
To express the internal shear in a beam as a function of x for the interval 0 ≤ x ≤ l/3, we need to know the specific beam configuration, loading conditions, and any relevant equations or formulas associated with shear in beams.
The internal shear in a beam refers to the force that acts parallel to the cross-section of the beam and can vary along the length of the beam. The expression for the internal shear as a function of x depends on the specific beam configuration and loading conditions.
To determine the internal shear in the beam as a function of x, one needs to consider the beam's support conditions, applied loads, and any distributed or concentrated forces. The shear force can be determined by analyzing the equilibrium of forces acting on a section of the beam.
The calculation of internal shear typically involves using the principles of static equilibrium, such as applying the equations of equilibrium (sum of forces and moments equal to zero). Additionally, the bending moment diagram or shear force diagram may be required to determine the shear force as a function of x.
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Jake brought a mattress for $425.50. He had a mail in rebate for $75.00. How much money did he save after using his rebate?
Please help! 3 questions ALL multiple choice if you answer them all you will get 30 points! I WILL GIVE YOU BRAINLIST! (NO LINKS PLEASE)
Answer:
I can help you on question 4, and the only 2 I saw was <ZAY and <WAZ. I hope I at least helped with that one.
Step-by-step explanation:
The map shows the location of four places in a school.
10
8-
6-
Gym
4-
Front Office
2-
0
-10 8
-6
4
lo
6
10
Auditorium-
Library
-8-
Help
Answer:
I can answer the question if there is no question
Step-by-step explanation:
According to the National Institute of Literacy (2017). Staggering Illiteracy Statistics. nearly 44 million adults in the United States cannot read a simple story to their children. How does PLAIN language bridge the staggering illiteracy statistics in the United States?
PLAIN language helps bridge the staggering illiteracy statistics in the United States by making information and communication more accessible, understandable, and inclusive for individuals with low literacy skills. It simplifies complex language, uses plain and straightforward terms, and employs clear formatting to enhance comprehension and promote literacy.
PLAIN language is a communication approach that focuses on making written and spoken information easier to understand. It involves using clear and concise language, avoiding jargon, simplifying complex concepts, and organizing content in a logical manner. By employing PLAIN language principles, organizations and institutions can create materials, such as instructional guides, educational resources, and public information, that are more accessible to individuals with low literacy skills.
In the context of staggering illiteracy statistics, PLAIN language plays a crucial role in breaking down barriers to literacy. By using plain and simple language, individuals with limited reading abilities can better comprehend information, instructions, and stories. This enables them to actively participate in activities such as reading to their children, promoting early literacy development and fostering a love for reading. PLAIN language also empowers individuals with low literacy to navigate important documents, understand health information, engage in civic participation, and access essential services. Overall, PLAIN language helps bridge the gap caused by illiteracy, making information more inclusive and promoting literacy for all.
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For what value of o, in degrees, is sin 0 = cos 58°?
Answer:sin32°
Step-by-step explanation:
Using the cofunction identity
cosx = sin(90 - x) , then
cos58° = sin(90 - 58)° = sin32°
Step-by-step explanation:
4 : 6.4 as a fraction
I need help!
Decimal to Fraction = 6 2/5
6.4 as a fraction = 32 /5
Percentage = 640%
Description =
The answer for this question will be 32 /5 because you asked that 6.4 as a fraction. If your asking to convert 6.4 to a fraction then the answer will be 6 2/5 in a mixed number.
Hope this helps.
rom a set of 52 poker cards (without 2 jokers), we keep taking cards randomly one by one with replacement, until all the cards taken by us can cover all 4 shades. (1) compute the probability that we have picked exactly n cards.
The probability that we have picked exactly n cards by multiplying the probability of picking each card, which is \($\frac{13}{52}\)
Verified that, after taking summation over n = 1, 2, . . ., the sum of the probabilities above equals to 1.
(1) The probability of picking exactly n cards to cover all 4 shades can be calculated as follows:
For n = 1, the probability of picking exactly 1 card is 0, as it is not possible to pick only one card and cover all 4 shades.
For n = 2, the probability of picking exactly 2 cards is:
\($=(\frac{13}{52})\times (\frac{12}{52} )\\\\= \frac{13\times12}{52\times 52}\)
For n = 3, the probability of picking exactly 3 cards is:
\($=(\frac{13}{52})\times (\frac{12}{52} )\times(\frac{11}{52}) \\\\= \frac{13\times12\times11}{52\times 52\times52}\)
And so on, we can calculate the probability of picking exactly n cards by multiplying the probability of picking each card, which is \($\frac{13}{52}\).
(2) To verify that the sum of the probabilities is equal to 1 , we can add up the probabilities for all values of n from 1 to 52 :
\($& \mathrm{P}=\left(\frac{13}{52}\right) \times\left(\frac{12}{52}\right)+\left(\frac{13}{52}\right) \times\left(\frac{12}{52}\right) \times\left(\frac{11}{52}\right)+\ldots+\left(\frac{13}{52}\right) \times\left(\frac{12}{52}\right) \times \ldots \times \frac{52-(\mathrm{n}-1)}{52} \\\)
P = 1
This verifies that the sum of the probabilities is equal to 1.
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From a set of 52 poker cards (without 2 jokers), we keep taking cards randomly one by one with replacement, until all the cards taken by us can cover all 4 shades.
(1) Compute the probability that we have picked exactly n cards.
(2) Verify that, after taking summation over n = 1, 2, . . ., the sum of the probabilities above equals to 1.
The angle of the roof on a shed is 23 degrees. the shed is 8 metres wide and the walls are 3 metres high. Find the length, y, of one side of the roof
According to the question and after using the Pythagorean theorem the length of one side of the roof is 7.416 metres.
What is Pythagorean theorem?The Pythagorean Theorem is a mathematical formula used to determine the length of the sides of a right triangle. It is named after the Greek mathematician Pythagoras, who is credited with discovering the formula in the 6th century BC. The theorem states that the sum of the squares of the two shorter sides of the triangle is equal to the square of the hypotenuse (the longest side of the triangle). In equation form, it is expressed as a² + b² = c², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse.
We know that the hypotenuse is 8 metres (the width of the shed) and the two shorter sides are 3 metres (the height of the walls) and y (the length of the side of the roof).
Therefore, using the Pythagorean theorem, we have:
3² + y² = 8²
9 + y² = 64
y² = 55
y = √55
y = 7.416 metres
Therefore, the length of one side of the roof is 7.416 metres.
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Computer equipment was acquired at the beginning of the vear at a cout of $73,700 that has an estimatod resduat value of 34,600 and an eatimated ustul life of 5years. a. Determine the depreciable cost. b. Determine the straight-tine rate. \% c. Determine the annual straight-hine depreciation.
The computer equipment was acquired at a cost of $73,700 with an estimated residual value of $34,600 and a useful life of 5 years. The depreciable cost of the equipment is $39,100. The straight-line rate is 20%, and therefore, the annual straight-line depreciation for the computer equipment is $7,820.
a. To determine the depreciable cost, we subtract the estimated residual value from the initial cost: $73,700 - $34,600 = $39,100.
b. The straight-line rate is calculated by dividing 100% by the estimated useful life of the equipment. In this case, the straight-line rate is 100% / 5 = 20% per year.
c. The annual straight-line depreciation is found by multiplying the depreciable cost by the straight-line rate. Thus, the annual depreciation is $39,100 * 20% = $7,820 per year.
By following these calculations, we can determine that the depreciable cost of the computer equipment is $39,100, the straight-line rate is 20%, and the annual straight-line depreciation amounts to $7,820.
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please help asap!!!!!!!!!
Answer:
no because rotation symmetry usually had multiple sides that seem to be mirrored. in this picture it is symmetrical but not rotational
Work out the curved surface area of this cylinder to 1 d.p. r= 5 cm h= 16 cm Not drawn accurately
The curved surface area of the cylinder is 502.4 cm^2
How to find the curved surface area?For a cylinder of radius R and height H, the curved surface area is given by:
S = 2*pi*R*H
Where pi = 3.14
Herewe can see that the radius is 5cm and the height is 16 cm, then:
R = 5cm
H = 16cm
Replacing that in the above formula we will get:
S = 2*3.14*(5cm)*(16 cm) = 502.4 cm^2
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