Answer:
40 ounces
Step-by-step explanation:
One foot = 12 inches
3 inches is 1/4 of a foot
Divide 10 pounds by 4 to get 2.5 pounds
Convert to ounces
Find unit rate $602 for 20 hours of work
A community would like to add a brick paver border around their swimming pool. They created the following image to represent the pool with the border. A large rectangle with a length of 48 feet and a width of 28 feet. Inside of it is another rectangle with a length of 32 feet and a width of 12 feet. Part A: Find the total area of the brick paver border that surrounds the 12 ft by 32 ft pool. Show your work. (2 points) Part B: If brick pavers cost $8 per square foot, what is the total cost of the brick pavers needed for this project? Explain. (2 points)
Part A: The total area of the brick paver border is \(960\) square feet.
Part B: The total cost of the brick pavers needed for this project is $\(7,680\).
Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.
The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.
Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).
Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).
Note: The calculations provided assume that the border consists of a single layer of brick pavers.
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Which temperature is most likely to be a data point for both cities if in city
one the average temperature is 70 degrees and in the second city the
average temperature is 80 degrees
O 150
O 75
0 75.5
Educating children in a faith is just brainwashing them.’
Answer:
this is a debatable topic...
Step-by-step explanation:
On average, Nathaniel drinks
4/5 of a 10-ounce glass of water in
2 2/5
hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Nathaniel drinks 3 glasses of water in one hour.
To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.
In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.
Let's convert the mixed number of hours to an improper fraction:
\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)
\(=\frac{12}{5}\)
Now, we can set up a proportion to find his drinking rate per hour.
We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.
Let's assign "x" as the number of glasses he drinks in one hour.
The proportion is then
\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)
Cross-multiplying gives us
\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)
Simplifying, we get
\(\frac{12}{5} =\frac{4}{5}\times x\)
Dividing both sides by \(\frac{4}{5}\), we find x:
\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)
\(x=\frac{12}{4}\)
\(x = 3.\)
Therefore, Nathaniel drinks 3 glasses of water in one hour.
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Mathematics word problem
75 miles per hour is the rate of train.
what is the formula of speed?Formula of speed = distance/time
let,
s1 , speed of A train = s
s2, Speed of B train = s
t1, time of travel for train A = 2.5h
t2, time of travel for train B = 4 h
d1, distance traveled by train A
distance travel by train A = speed*time
= s1*t1
d2, distance traveled by train B
distance travel by train A = speed*time
= s2*t2
Total distance between station A and station B = 562.5 mi
d1+d2=562.5 mi
s1t1+s2t2=562.5
s(2.5)+s(4)=562.5
6.5 s = 562.5
s = 562.5/6.5
s = 86.5 mph
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75 miles per hour is the rate of the train.
what is the rate of the train?Given:
Train A and Train B leave a central station at the same time.They travel at the same speed, but in opposite directions, with train A heading towards station A.Train B heading towards station B.Train A reaches station A after 2 and 1/2 hours.Train B reaches station B after 4 hours.Station A and Station B are 585 mi apart.Find:
Rate of the trains.Solution:
Formula of speed = distance/time
Let us consider
Speed of A train(s1) = s
Speed of B train(s2) = s
Time of travel for train A(t1) = 2.5h
Time of travel for train B(t2) = 4 h
Distance traveled by train A(d1)
= speed*time
= s1*t1
Distance traveled by train B(d2)
= speed*time
= s2*t2
The total distance between station A and station B = 562.5 mi
d1+d2=562.5 mi
s1t1+s2t2=562.5
s(2.5)+s(4)=562.5
6.5 s = 562.5
s = 562.5/6.5
s = 86.5 mph
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Your average bi-weekly net pay is $489.00. What is 15% of your average monthly net pay? (1 point)
$146.70
$158.93
$160.13
Bi weekly means you get paid every 2 weeks so you would get two paychecks per month.
Monthly net pay = 489.00 x 2 = $968.00
Multiply monthly by 15%
968 x 0.15 = $146.70
Answer: $146.70
If Your average bi-weekly net pay is $489.00. Your average monthly net pay is:$146.70.
Average monthly net payFirst step
Monthly net pay=$489.00×2
Monthly net pay=$968
Second step
Average monthly net pay:
Average monthly net pay=$968×15%
Average monthly net pay=$146.70
Therefore your average monthly net pay is:$146.70.
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Which point on the number line shows the graph of
Answer:
point E
Step-by-step explanation:
it lies after 1 and before two and 1.6 bar is after 1 and before 2
Desmond is 5 inches taller than Niki.
If we let
represent Niki's height in inches, write an algebraic expression for Desmond's height.
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answer:
92 degrees
Step-by-step explanation:
180-88
=92
~rere
The best interpretation of the coefficient of Q2 (-0.054) in the regression equation is:_________.
a) the revenues in the second quarter of a year is approximately 5.4% lower than the average over all 4 quarters.
b) the revenues in the second quarter of a year is approximately 5.4% lower than it would be during the fourth quarter.
c) the revenues in the second quarter of a year is approximately 11.69% lower than it would be during the fourth quarter.
d) the revenues in the second quarter of a year is approximately 11.69% lower than the average over all 4 quarters.
Answer:
The correct answer is (b) the revenues in the second quarter of a year is approximately 5.4% lower than it would be during the fourth quarter
Explanation:
Solution:
Given that
Log₁₀ Y = 6.012 + 0.012 X - 0.129 Q₁
= -0.054 Q₂ + 0.098 Q₃
Now,
Given that X =0
We substitute for Q₁ = 1
Thus,
Y = 6.012 + 0.012 (0) - 0.129 (1)
= -0.054 (0) + 0.098 (0)
= 6.012 - 0.129
=5.973
So
Q₂ = 1
Y = 6.102 - 0.054 (1) + 0.012 (0)
= - 0.129 (0) + 0.098 (0)
= 6.012 - 0.054
= 6.048
For Q₃=1
Y = 6.012 + 0.012 (0) - 0.129 (0)
= -0.054 (0) + 0.098 (1)
= 6.102 + 0.098
=6.2
From the given question, the option b is correct.
Note: Kindly find an attached copy of the complete question below.
You are conducting a drug trial for a new medication, NT71B, which has a side-effect of
decreasing iron levels. To guard against anemia, you regularly measure each patient's
hemoglobin levels to check for anemia. A healthy patient had a hemoglobin count of 14.2g/dL
at the start of the trial. By the end of the five-week trial, that patient's hemoglobin count had
dropped to 12.6g/dL. If the drug's effect was linear, by how much did it decrease the patient's
hemoglobin count each week?
The medication NT71B caused the patient's hemoglobin count to decrease by an average of 0.32 g/dL per week during the five-week trial.
To determine how much the patient's hemoglobin count decreased each week due to the medication NT71B, we can calculate the average rate of decrease over the five-week trial period.
The initial hemoglobin count was 14.2 g/dL, and the final hemoglobin count after five weeks was 12.6 g/dL. The total decrease in hemoglobin count over the five weeks is:
14.2 g/dL - 12.6 g/dL = 1.6 g/dL
To find the average decrease per week, we divide the total decrease by the number of weeks:
Average decrease per week = Total decrease / Number of weeks
= 1.6 g/dL / 5 weeks
= 0.32 g/dL per week
Therefore, the medication NT71B caused the patient's hemoglobin count to decrease by an average of 0.32 g/dL per week during the five-week trial.
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1.652 when 5 is underlined round to the place of the underlomed digit
Answer:
1.650
Step-by-step explanation:
4 below hit the floor
5 above goes through the roof
the belt (orbit) of the asteroids is located between . group of answer choices venus and mercury saturn and uranus jupiter and mars earth and mars
The main belt is not located between these all planets.
What is orbit?
A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.
The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.
The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.
The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.
Hence, The main belt is not located between these all planets.
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Solve the equation: 1. 3y+(y−2)=2(2y−1) 2. 6(1+5x)=5(1+6x)
Answer:
Step-by-step explanation:
I'm not sure what are u asking exactly
PLease help, this is due tomorrow by 1 pm.
Note that the parameters of the graph a and graph b are given below.
Graph A - y=2(x-1)²
See graph attached.
Graph B - y = 1/2x² + 3
Vertex: The vertex of the function is (0, 3).
Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.
Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).
Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.
Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.
0 = 1/2 x² + 3
Subtracting 3 from both sides, we get:
-3 = 1/2 x²
Multiplying both sides by -2, we get:
6 = -x²
Taking the square root of both sides, we get:
x = ±√(-6)
Since the square root of a negative number is not a real number, the function has no real roots.
Minimum or maximum value: The minimum value of the function is 3.
Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.
Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.
Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.
See graph attached.
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Find an equation of the line passing through the point (−3,−7) that is perpendicular to the line y= −5x+4
Answer:
y = 1/5x - 6.4
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the slope will be 1/5
Then, plug the slope and the point into the equation y = mx + b to find b
y = mx + b
-7 = 1/5(-3) + b
-7 = -0.6 + b
-6.4 = b
Then, plug this and the slope into the equation
y = 1/5x - 6.4 will be the equation
1 who staple food of the Vedic Aryan was ?
A) Barley and rice B) Milk and its products
C) Rice and pulses D) Vegetables and fruits
e) IAS CHINADU KUMAR KHAN f) IAS CHINADU
z
Answer: barley and rice
Step-by-step explanation:
Using the graph as your guide, complete the following statement,
The discriminant of the function is
A. positive
B. negative
C. zero
Answer:
A positive
Step-by-step explanation:
hope this helps
Answer:
positive
Step-by-step explanation:
What is the quotient of
15y^3+ 28y^2+ 7y-6 / 5y+6?
Answer: The quotient is 3y² + 2y - 1.
Step-by-step explanation:
You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.
1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.
3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.
2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.
3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.
Select the correct answer from each drop-down menu.
Brian and Leo are flying to their grandmother's house on an airplane where 50 out of the 150 seats are window seats and passengers are randomly
assigned seats on the plane for each flight.
which is
the probability that Brian is assigned a window seat on the flight to his grandmother's house and the flight home from his
The probability that both Brian and Leo are both assigned window seats on the way to their grandmother's house is
grandmother's house.
The probabilities of Brian and leo being assigned a window seat on each flight are 1/9
what is the probability that Brian is assigned?The probability that Brian is assigned a window seat on the flight to his grandmother's house is:
50/150 = 1/3
The probability that LEO is assigned a window seat on the flight home from his grandmother's house is also:
50 window seats/ 150 seats = 1/3
The probability that both Brian and Leo are both assigned window seats on the way to their grandmother's house is:
50 window seats/150 seats * 49 window seats/ 149 seats = 1/9
Take note that Brian and Leo's chances of getting a window seat on each flight are independent, so we can simply multiply the odds to determine the likelihood of both happening.
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A direct mail appeal for contributions from a university’s alumni and supporters is considered to be too costly if less than 13% of the alumni and supporters provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochures to a simple random sample of 204 people on the alumni and supporters mailing lists. They receive monetary contributions from 19 people. Does this evidence demonstrate that the direct mail campaign is not cost effective? Use a 0.02 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: p=0.13: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.13
The null hypothesis (H0) is that the proportion of alumni and supporters who provide monetary contributions is equal to or greater than 13%.
The alternative hypothesis (Ha) is that the proportion of alumni and supporters who provide monetary contributions is less than 13%.
What is a statistical hypothesis?A statistical hypothesis is usually formulated to test whether there is a significant difference or relationship between two or more variables.
There are two types of statistical hypotheses:
Null hypotheses, which assume that there is no significant difference or relationship between variables
Alternative hypotheses: these assume that there is a significant difference or relationship between variables.
We have,
From the situation given we can create the null and the alternative hypothesis as,
The null hypothesis (H0) is that the proportion of alumni and supporters who provide monetary contributions is equal to or greater than 13%.
i.e
(p ≥ 0.13).
The alternative hypothesis (Ha) is that the proportion of alumni and supporters who provide monetary contributions is less than 13%.
i.e
(p < 0.13)
Now,
Mathematically,
H0: p ≥ 0.13
Ha: p < 0.13
Where p represents the true proportion of alumni and supporters who provide monetary contributions.
Thus,
The null hypothesis (H0) is that the proportion of alumni and supporters who provide monetary contributions is equal to or greater than 13%.
The alternative hypothesis (Ha) is that the proportion of alumni and supporters who provide monetary contributions is less than 13%.
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Five subtracted from the product of 8 and x is greater than or equal to 51.
Leah’s family took a 3-hour trip in a car. They left at 10:30 am. What time did Leah’s family arrive?
Answer:
1:30 Pm
Step-by-step explanation:
If the car ride was exactly 3 hours and they left and exactly 10:30 am then its would be 1:30pm because it goes 10:30 11:30 12:30 then 1:30
MISTERBRAINLYY!!
The paint in a certain container is sufficient to paint an area equal to 9.375m2. How many bricks of dimensions 22.5cm×10cm×7.5cm can be painted out of this container?
There are three area options for the number of bricks:
4165551250How many bricks can be painted out of a container?
The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:
n = A / A'
A' = w · h
Where:
w - Width of the brick, in centimeters.h - Height of the brick, in centimeters.There are three possible answers:
Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm
A' = 22.5 · 10
A' = 225
n = 93750 / 225
n = 416.667
n = 416
Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm
A' = 22.5 · 7.5
A' = 168.75
n = 93750 / 168.75
n = 555.556
n = 555
Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm
A' = 10 · 7.5
A = 75
n = 93750 / 75
n = 1250
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Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
A rectangular field is 0.35 kilometers long and 0.2 kilometers wide. What is the area of the field in square meters?
I need step-by step work?
The area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Area of rectangle = 0.35x0.2 = 0.07 square km
1 km = 1000 m
1 square km = 1000000 square m
Area of rectangle = 0.07x1000000 square m
Area of rectangle = 70000 square m
Thus, the area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.
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PLEASE HELP!
THE QUESTION IS IN THE PHOTO!
For What value of x is ABC~DEF?
Answer:
x=12
Step-by-step explanation:
Since the triangles are congruent, you can use either B or D to solve for x.
7x+10=94
7x=94-10
7x=84
x=84÷7
x=12
3 friends share
5/6 of a pizza
What fraction of a pizza does each person get?
Answer:
5/18
Step-by-step explanation:
We assume they share equally.
5/6 ÷ 3 = 5/6 × 1/3 = 5/18