Answer:
1/5
Step-by-step explanation:
just pretend 5 is 5/1 and then flip it, so 1/5
Option B
Solution:Remember, the reciprocal of a number is its multiplicative inverse.We should take the given number, multiply it times its multiplicative inverse, and get 1.Is 5 times 5 equal to 1? No, it's equivalent to 25.Is 5 times 1/5 equal to 1? Yes.Is 5 times 1 equal to 1? No, it's equal to 5.Therefore, the answer is Option B (1/5)Hope it helps.
Do comment if you have any query.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answer: 216
Step-by-step explanation:
We have 3 sets of 6 options.
6x6x6
6x6x6=216
how to write 403.225 in words and how do i get the answer. Thanks!!!!
What is the domain and range of the relation?
Answer:
I think option c is answer
Which variable expression represents the word phrase?
the sum of 12 and the quotient of 9 and a number
12−(9÷y)
9 + (12 ÷ y)
12 + (9 ÷ y)
12−9y
Answer:
Answer is 12+(9÷y)
Hope this helps
10x+25
please help me fast
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The solution is 5(2x+5)
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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Write an exponential function in the form y=ab^xy=ab x that goes through points (0,2) and (3,128)
Answer: is a and for
c
Step-bKayla saves $110 to purchase a new outfit. She decides to buy a skirt for $29.65, a sweater for $38.32, and a purse for $31.00y-step explanation:
Answer:
the desired exponential function is y=2(4^x
Step-by-step explanation:
Write an exponential function in the form y=ab^x that passes through the points (0,2) and (3,128).To find an exponential function in the form y=ab^x that passes through the points (0,2) and (3,128), we first need to determine the values of a and b.Starting with the point (0,2), when x=0 we have:y=ab^0=a(1)=aTherefore, we know that the y-intercept (the value of a) is 2.Next, we can use the equation to solve for the value of b by plugging in the values of x and y for the second point (3,128):128=2b^3To find b, we need to solve for b. We start by dividing both sides by 2:64=b^3Then, we take the cube root of both sides:b=4Now we have both the value of a and the value of b to complete the equation y=ab^x:y=2(4^x)Therefore, the desired exponential function is y=2(4^x).
Express the d= rt in terms of the time, t. Use the formula to find the time when the distance is 40 and the rate is 8.
Answer:
5
Step-by-step explanation:
Divide the expression by r on both times; d/r=rt/r. You'll remain with t=d/r.
then substitute t=40/8 which equals to 5.
If m/n=5, then what is 4n/m equal to
Answer:
4/5
Step-by-step explanation:
Multiplying the first equation by n, we have an expression for m:
m/n = 5
m = 5n
Substituting this into the second equation, we have ...
4n/m = 4n/(5n)
4n/m = 4/5
Question 3. Instructions are below for each part
Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.
Here, we have,
The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.
They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.
The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.
The lake's brilliant blue hue is a result of Tahoe's clean air and water.
There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.
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complete question:
As you respond to Part A, Part B, and Part C, follow the directions below.
Address all of the instructions in each prompt.
Use evidence from the information provided and your own knowledge of science to support your responses.
Part A
Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.
consider the verizon data. find a 95% ci for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.
A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.
Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.
Next, we use the formula for a confidence interval for the ratio of medians:
=> (M1/M2) +/- (Z * SE(M1/M2)),
where Z is the critical value from a standard normal distribution for a 95% confidence level.
The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.
Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.
Complete Question:
Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
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write an inequality to represent the situation: the temp stayed above -15 degrees
Answer:
t> - 15
I hope this helps, if it's right please give me brainless
<--------- -15 -10 -5 0
----------------------------------------
there would be an open dot under -15
Write 6m^8 ÷ 3m^2 in simplest form. Please show work
Answer:
2m^6
Step-by-step explanation:
6m^8/3m^2 =
6/3 = 2
m^8 - m^2 = m6
Find the equation of the line which passes through the points(-5,8) And is perpendicular to the given line express your answer in slope intercept form simplify your answer
Given: The equation below
\(4x+7y=4y-7\)To Determine: The equation of the line that passes through the point (- 5, 8) and is perpendicular to the given equation
Solution
Let us determine the slope of the given equation
\(\begin{gathered} 4x+7y=4y-7 \\ 7y-4y=-4x-7 \\ 3y=-4x-7 \\ \frac{3y}{3}=\frac{-4x}{3}-\frac{7}{3} \\ y=-\frac{4}{3}x-\frac{7}{3} \end{gathered}\)The slope-intercept form of a linear equation is given as
\(\begin{gathered} y=mx+c \\ m=slope \\ c=y-intercept \end{gathered}\)Comparing the slope-intercept form to the given equation
\(\begin{gathered} y=-\frac{4}{3}x-\frac{7}{3} \\ y=mx+c \\ slope=m=-\frac{4}{3} \\ c=-\frac{7}{3} \end{gathered}\)Note: If two lines are perpendicular to each other, the slope of one of the line is equal to the negative inverse of the other
Therefore, the slope of the perpendicular line is as shown below
\(\begin{gathered} slope(given-equation)=m \\ slope(perpendicular-line)m_2=-(m)^{-1} \\ So \\ m=-\frac{4}{3} \\ m_2=-(-\frac{4}{3})^{-1} \\ m_2=-(-\frac{3}{4}) \\ m_2=\frac{3}{4} \end{gathered}\)If the perpendicular line passes through (-5,8), the equation of the line can be derived using the formula below
\(\begin{gathered} \frac{y-y_1}{x-x_1}=slope \\ (x_1,y_1)=(-5,8) \\ slope=\frac{3}{4} \\ Therefore, \\ \frac{y-8}{x--5}=\frac{3}{4} \end{gathered}\)\(\begin{gathered} \frac{y-8}{x+5}=\frac{3}{4} \\ y-8=\frac{3}{4}(x+5) \\ y-8=\frac{3}{4}x+\frac{15}{4} \\ y=\frac{3}{4}x+\frac{15}{4}+8 \end{gathered}\)\(\begin{gathered} y=\frac{3}{4}x+\frac{15+32}{4} \\ y=\frac{3}{4}x+\frac{47}{4} \end{gathered}\)Hence, the equation of the line that passes through the point ( - 5, 8) and perpendicular to the given equation is
\(y=\frac{3}{4}x+\frac{47}{4}\)Your company takes orders over the phone. The company’s average call time is 4.6 minutes. The graph below shows 4 calls and the difference between the call time and the company’s average call time. For these 4 calls, what is the mean difference between the call times and the company’s average call time, rounded to the nearest 0.1 minute?
(Note: A negative difference indicates the call is shorter than the average.)
The mean difference between the call times and the company’s average call time is 0.4.
How to calculate the mean?It should be noted that mean also means average.
Based on the information given, the mean of the numbers will be:
= -2.32 + -1.55 + 4.79 + 0.68 / 4
= 1.6/4
= 0.4
Therefore, the mean difference between the call times and the company’s average call time is 0.4.
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Austin worked for 13 hours each day for 5 days. Then the next day he worked 9 hours. How many hours did Austin work in all?
Answer:
74
Step-by-step explanation:
13x5+9=74
A firefighter holds a hose 3 m off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of 16 m/sec at an angle of 300, The height of the water can be approximated by hx)0.02612 + 0.577x+ 3, where hcx) is the height of the water in meters at a point x meters horizontally from the firefighter to the building.
a. Determine the horizontal distance from the firefighter at which the maximum height of the water occurs Round to 1 decimal place. I decimal place branch of the parabola at a height of 6 m. How far is the
b. What is the maximum height of the water? Round to
c. The flow of water hits the house on the downward firefighter from the house? Round to the nearest meter
Answer:
a). Horizontal distance = 11.1 m
b). Maximum height = 6.2 m
c). Firefighter is 13.7 m from the house
Step-by-step explanation:
Given question is incomplete; find the complete question in the attachment.
Height of the water can be determined by the expression,
h(x) = -0.026x²+ 0.577x + 3
Here x = Horizontal distance of the from the firefighter
a). Since the stream of the water will follow a parabolic path, maximum point of the parabola will be = Vertex of the parabolic path
Horizontal distance from the firefighter at which the water achieves the maximum height = -\(\frac{b}{2a}\)
From the quadratic function,
h(x) = -0.026x²+ 0.577x + 3
a = -0.026
b = 0.577
Therefore, the horizontal distance = \(-\frac{0.577}{2\times (-0.02612)}\) = 11.05 m
≈ 11.1 meters
b). By putting x = 11.1 in the quadratic equation,
h(x) = -0.02612(11.1)²+ 0.577(11.1) + 3
= -3.2182 + 6.4047 + 3
= 6.18 m
≈ 6.2 m
c). For h(x) = 6 m
6 = -0.02612x² + 0.577(x) + 3
0.02612x² - 0.577x + 3 = 0
From quadratic formula,
x = \(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
x = \(\frac{0.577\pm \sqrt{(-0.577)^2-4(0.02612)(3))}}{2(0.02612)}\)
x = \(\frac{0.577\pm\sqrt{0.019489}}{0.05224}\)
x = \(\frac{0.577\pm0.1396}{0.05224}\)
x = 13.7 m, 8.37 m
Therefore, the farthest distance of the firefighter from the house will be 13.7 m
Due to an important situation Krish is in need of Dh. 8000 . He has two ways to fulfil his need
Way 1:- withdraw money using his credit card . He has to pay Dh 4000 as interest after 5 years. Assume that he didn’t repaid the amount before 5 years.
Way 2:- Take a loan of Dh 8000 from bank for 3 years at 10% rate of interest . (Krish will not pay money before the 3 years.)
A) What do you suggest which one is the best option? Explain through calculation
B) How can you decrease the interest on a loan of Dh3000 financed for a period of 5
years?
SELECT ALL THAT APPLY
a. Add more to the principal
b. Take out a loan to the lower interest rate.
c. Decrease the number of years
d. Increase the number of years.
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
There are 6 pails in a row. The first 3 pails are filled with water. How can you make only one adjustment to make the following pattern: full, empty, full, empty, full and empty?
The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
Given that, there are 6 pails in a row. The first 3 pails are filled with water.
The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.
Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
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1. A boat drifted 15 m out into the water off Ocean Beach, where the shore drops off
at 4°. Can Brooke walk out to bring the boat back without getting water over the
tops of her hip boots which are 1 m tall? Explain your reasoning.
2. are the engineer who designed a new branch for the Mountain Railroad
Company. You sent your plans calling for 100 km of track up Bixby Mountain
taking trains 99 km east of the city of Bixby, to the City Council for approval.
But before the Council got around to looking at your plans, they passed a
regulation that no railroad tracks could go up their mountain at an angle of more
than 8°. Will your plans be approved? Why or why not?
3. The residents of Quietville, a little town 9 km from the San Francisco Airport,
insist that any plane flying over their town disturbs them if it is lower than 3 km.
Will a plane that took off at a 21° angle disturb them? Why?
4. You are an air pollution inspector, checking that factories in your city have
chimneys at least 65 m tall. Standing 50 m from the Ore Smelting Company’s
chimney, you find the angle from the ground to the chimney top is 51°. Can the
company use that chimney legally? Explain.
6. River City is offering a $3 million contract to build a bridge between points A and
C on opposite sides of City River. Along the side of the river that makes a right
angle with the line of the bridge at point C, a surveyor walked 72 m to point B
where she measured the 55° angle form B to A. Long Company will build the
bridge for $3 million if it is not more than 103 m from point A to point C. Short
Company agrees to build it if it is no more the 100 m. Which contracting firm
will be awarded the contract? Why?
7. An elderly woman is trapped 17 m up in her burning home. Can a fireman reach
her on his 26 m ladder if it has to make a 43° angle in order to clear the woman’s
greenhouse under her window? Explain your reasoning.
8. A ski lift 1000 m long goes at a 29° angle up Mt. Gentleslope. Does the lift take
skiers all of the way up to the top of the mountain where there is a snack bar at
the 500 m elevation? Explain your reasoning.
9. Mr. Johnson is a jet pilot who just moved with his family to Suburbia, 26 km
from Toledo Airport. His seven-year-old son, Eric, would like to see his father’s
plane as it flies over their new home for the first time today, but there is a layer of
clouds 5 km above the house. Will Eric be able to see his Dad’s plane if it takes
off at a 9° angle? Explain.
10.You are the cost control expert for an engineering firm designing a giant
television tower having several metal braces, each built in 21 m from the base at a
73° angle with the ground. Part of your job is to decide which standard length of
metal brace wastes less metal: the brace that comes 71 m long, or the one that is
73 m long. What is your decision?
The correct responses found using trigonometric ratios are as follows;
Brooke's cannot bring the boat back without getting water over her boots.The plan will not be approvedThe plane will not disturbThe company can not use the chimney legallyThe Long company will build the bridgeThe fireman can reach her.The lift does not take the skiers up to the bar.Eric will be able to see his Dad's plane.The 73 m. braceHow can trigonometric ratios be used to find the right responses?1. The depth of the water = 15 × tan(4°) = 1.049 m
The height of Brooke's boot = 1 m
Therefore;
Brooke's cannot bring the boat back without getting water over her boots.2. The angle of elevation of the plan = arccos(99/100) ≈ 8.110°
Given that the angle of elevation the plan, 8.110°, is more than 8° limit, we find;
The plan will not be approved.3. Height reached by the plane = 9 × tan(21°) = 3.455
Therefore;
The plane will not disturb.4. Height of the chimney at the factory = 50 × tan(51°) = 61.745
The minimum chimney height = 65 m.
Therefore;
The company can not use the chimney legally.6. Length of the bridge = 72 × tan(55°) ≈ 102.83
Therefore;
The Long company will build the bridge because it is longer than 100 m. but not more than 103 m.7. Height reached by the ladder = 26 × sin(43°) ≈ 17.7
Therefore;
The fireman can reach her.8. Height reached by the ski lift = 1000 × sin(29°) ≈ 484.8
Therefore;
The lift does not take the skiers up to the bar.9. Height reached by plane = 26 × tan(9°) ≈ 4.12
The plane flies under the cloud therefore;
Eric will be able to see his Dad's plane.10. Length required for the metal brace = 21/(cos(73°)) ≈ 71.83
Therefore;
The brace that wastes less metal is the 73 m. brace, because the 71 m. brace is not long enough and two braces will be required.Learn more about trigonometric ratios here:
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A line passes through -8,5 and has a slope of 3/4 write the equation in slope intercept form
The equation of the line in slope-intercept form is y = (3/4)x.
To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,
where m is the slope and b is the y-intercept.
Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).
First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.
Using (-8, 5) as the point and 3/4 as the slope, we have:
5 - 5 = (3/4)(-8 - x)
0 = (3/4)(-8 - x)
0 = (-3/4)(8 + x)
0 = -6 - (3/4)x
Next, we can solve for x:
(3/4)x = -6
x = -6 \(\times\) (4/3)
x = -8
Now that we have the value of x, we can substitute it back into the equation to find the value of b:
0 = -6 - (3/4)(-8)
0 = -6 + 6
0 = 0
So, the value of b is 0.
Finally, we can write the equation of the line in slope-intercept form:
y = (3/4)x + 0
y = (3/4)x.
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Calculate the side lengths a and b to two decimal places
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)
\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )
then to find b , using
\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )
2(67+8)*3 plz help
A. 450
B.908
C.154
D 679
Answer:
A. 450
Step-by-step explanation:
Answer:
its a the answer 450
Step-by-step explanation:
Here is why
2(67+8) (3)
= (2) (75) (3)
=(150) (3)
= 450
hope it helps
Taylor can clean pools at a constant rate of 25 pools per hour. What is the ratio of pools to hours?
Answer:
25:1
Step-by-step explanation:
Pools:hours25:1I hope this helps!
Answer:
2:6
Step-by-step explanation:
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Ben buys a table for $240. He also buys 6 chairs that all cost the same amount. His total cost is $720. What is the price of one chair? Use the drop-down menus to complete parts A and B below.
Answer:
80 dollars per chair
Step-by-step explanation:
Step One: Subtract 720 by (-) 240 this should give you, 480
Step Two:Divide 480 by 6Which gives you your answer 80
Answer:
yes ☝ is correct
Step-by-step explanation:
A new dining plan was implemented in a residence hall at State University. Residents were asked to assess the new plan and give a grade of A, B, C, D, or F to the new dining plan. Of 482 residents, 234 gave a grade of A, 148 a grade of B, 87 a grade of C, and 9 a grade of D. There were ______ "F"s.A. 10B. 6C. 8D. 4
There were four (4) "F"s. Therefore, the correct answer is option D: "4".
The total number of residents who gave a grade to the new dining plan is 234 + 148 + 87 + 9 = 478, which is less than the total number of residents in the residence hall (482). This means that 482 - 478 = 4 residents did not give a grade to the new dining plan.
Therefore, the number of residents who gave a grade of F to the new dining plan is 482 - (234 + 148 + 87 + 9) - 4 = 4.
Therefore, the answer is D: 4, meaning that there were 4 "Fs".
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6*9+(6+9)=?
Plz I really need this in the next minute.
PLEASE HELPPPPPPPP!!!!!!!
Write the opposite of 47
Answer:
-47
Step-by-step explanation:
Answer:
-47
Step-by-step explanation:
The opposite of a number is just the number on the opposite side of zero on the number line.
For example, the opposite of 5 is -5.