Answer:
280 yd²---------------------
Find the area of the four walls:
A = PhA = 2(50 + 30)*16A = 2560 ft²Find the area of the (window and door) openings:
A = 4(24*30) + 36*80A = 5760 in²Convert it to ft² (1 ft = 12 in):
5760*(1/12)² = 5760*1/144 = 40 ft²Subtract it from total area of walls:
2560 - 40 =2520 ft²Convert the area to be painter to square yards (1 yd = 3 ft:
2520 ft² = 2520*(/3)² = 2520*1/9 = 280 yd²Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952 . The number he chooses in the beginning was
I'M IN LOVE WITH A FAIRYTALE
EVEN THOUGH IT HURTS
CAUSE I DON'T CARE IF I LOOSE MY MIND
I'M ALREADY CURSED
Answer:
888
Step-by-step explanation:
let the number be n then divide by 8 , that is \(\frac{n}{8}\)
now add 8 to this
\(\frac{n}{8}\) + 8 and finally multiply this by 8 and equate to 952
8(\(\frac{n}{8}\) + 8) = 952 ( divide both sides by 8 )
\(\frac{n}{8}\) + 8 = 119 ( subtract 8 from both sides )
\(\frac{n}{8}\) = 111 ( multiply both sides by 8 to clear the fraction )
n = 888
the number chosen was 888
for shape (i) give the electron-domain geometry on which the molecular geometry is based.
In shape (i), there are two electron domains around the central atom. This means that the electron-domain geometry is linear. However, there are two bonding pairs and no lone pairs of electrons around the central atom, resulting in the molecular geometry also being linear.
The concept of electron-domain geometry and molecular geometry is essential in understanding the properties of molecules. The electron-domain geometry is determined by the number of electron domains (bonding or lone pairs) around the central atom in a molecule. On the other hand, the molecular geometry is determined by the arrangement of atoms in the molecule, taking into account the presence of lone pairs.
Knowing the electron-domain geometry and molecular geometry of a molecule is crucial in predicting its polarity and reactivity. For instance, polar molecules have an asymmetric distribution of electron density, while nonpolar molecules have a symmetric distribution. This difference in polarity affects the physical and chemical properties of a molecule, such as boiling point, melting point, and solubility.
In summary, in shape (i), both the electron-domain geometry and molecular geometry are linear, which means that the central atom has two bonding pairs and no lone pairs. Understanding the electron-domain and molecular geometry of molecules is essential in predicting their properties and behavior.
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hel help help please
Answer:
tab, bat and sometimes abt
Step-by-step explanation:
Answer:
∠BAT,∠TAB,∠A
Step-by-step explanation:
how to do this question plz
Answer:
Alan= £4.20, Connor= £2.50
Step-by-step explanation:
Please see the attached picture for full solution.
Could someone please help answer this, thank you, will give brainliest, plz no spam (home work help) thanks!
Answer:
this is my answer
a< -12
hope it helps
A series of 288 consecutive odd integers has a non-zero sum that is a perfect fourth power. What is the smallest possible sum for this series?
The smallest possible sum for this series is 20736 = 12^4.
Given:
A series of 288 consecutive odd integers has a non-zero sum that is a perfect fourth power.
S = a + (a+2) + (a+4) + ... + (a+2*287) = 288(a+(a+574))/2 = 288(a+287)
288 = 2^5 * 3^2
smallest value of (a+287) that will make S = 288(a+287) a perfect fourth power is:
a + 287 = 2^3 * 3^2 = 72
a = −215
Smallest sum = 288*72 = 20736 = 12^4
Smallest odd integer in series = −215
−215 + −213 + −211 + ... + −1 + 1 + 3 + ... + 213 + 215 + ... + 359
= 20736 = 12^4.
Therefore the smallest possible sum for this series is 20736 = 12^4.
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1. Does Mrs Yoh spend her money wisely? Explan your answer
2. Mrs. Yeoh wishes to buy a unit of condominium at RM504000 after six years. If the down payment is 10% of its price, will Mrs Yeoh be able to achieve her long term financial goal based on her current spending behaviour?
9514 1404 393
Answer:
Yes; savings, rent, and debt levels are consistent with her income.No.Step-by-step explanation:
1. The attachment shows Mrs. Yeoh's budget amounts in relation to recommended maximum percentages. (Those vary, depending on who is doing the recommending.) In each case, the amounts Mrs. Yeoh spends are reasonable. Her spending is not unwise.
__
2. If Mrs. Yeoh wants to save 10% of 504,000 in 6 years, her monthly saving toward that goal must be ...
504,00/72 = 700
Her current saving of 675 will not get her to this goal.
The price of the condominium Mrs. Yeoh is looking at is more than 6 times her current annual estimated gross income. That generally will mean that she doesn't make enough money to qualify for the loan. (Usually, a bank will want a ratio of 3 or less.)
Solve equations with variables on both sides
1/3+5/3r–r=2r
Answer:
r=1/4
Step-by-step explanation:
Answer:
r = 1/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
\((\frac{5}{3}r - r) + (\frac{1}{3}) = 2r\) \(\frac{2}{3}r+\frac{1}{3} = 2r\)Step 2: Subtract 2r from both sides.
\(\frac{2}{3}r +\frac{1}{3} - 2r = 2r - 2r\) \(\frac{-4}{3}r+\frac{1}{3}=0\)Step 3: Subtract 1/3 from both sides.
\(-\frac{4}{3}r+\frac{1}{3} -\frac{1}{3} =0-\frac{1}{3}\) \(-\frac{4}{3}r=-\frac{1}{3}\)Step 4: Multiply both sides by -3/4.
\(-\frac{4}{3}r*\frac{3}{-4} =\frac{-1}{3} *\frac{3}{-4}\) \(r = \frac{1}{4}\)Therefore, r = 1/4.
Classify the sequence {1, 6, 11, 16, 21, …}.
Answer:
Classify the sequence {1, 6, 11, 16, 21, …}.
The pattern is +5:
1 + 5 = 6
6 + 5 = 11
11 + 5 = 16
16 + 5 = 21
21 + 5 = 26
And so on
Step-by-step explanation:
You're welcome
what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
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A new surgery is successful 80% of the time. If the results of 10 such surgeries are randomly sampled, what is the probability that more than 7 of them are successful? Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)
The probability that more than 7 out of 10 surgeries are successful is approximately 0.68 (rounded to two decimal places).
To calculate the probability that more than 7 out of 10 surgeries are successful, we can use the binomial distribution.
Let's denote success as "S" (80% chance) and failure as "F" (20% chance).
We want to calculate the probability of having 8 successful surgeries or more out of 10 surgeries. This can be expressed as:
P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)
Using the binomial probability formula, where n is the number of trials, p is the probability of success, and X is the number of successful trials:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where C(n, k) is the binomial coefficient, given by C(n, k) = n! / (k! * (n - k)!)
Substituting the values:
n = 10 (number of surgeries)
p = 0.8 (probability of success)
k = 8, 9, 10 (number of successful surgeries)
Calculating the probabilities:
P(X = 8) = C(10, 8) * 0.8^8 * (1 - 0.8)^(10 - 8)
P(X = 9) = C(10, 9) * 0.8^9 * (1 - 0.8)^(10 - 9)
P(X = 10) = C(10, 10) * 0.8^10 * (1 - 0.8)^(10 - 10)
Using the binomial coefficient formula:
C(10, 8) = 10! / (8! * (10 - 8)!)
C(10, 9) = 10! / (9! * (10 - 9)!)
C(10, 10) = 10! / (10! * (10 - 10)!)
Simplifying the expressions:
C(10, 8) = 45
C(10, 9) = 10
C(10, 10) = 1
Calculating the probabilities:
P(X = 8) = 45 * 0.8^8 * (1 - 0.8)^(10 - 8)
P(X = 9) = 10 * 0.8^9 * (1 - 0.8)^(10 - 9)
P(X = 10) = 1 * 0.8^10 * (1 - 0.8)^(10 - 10)
Calculating the probabilities:
P(X = 8) ≈ 0.301989888
P(X = 9) ≈ 0.268435456
P(X = 10) ≈ 0.107374182
Now, we can calculate the probability of having more than 7 successful surgeries by summing up these probabilities:
P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)
P(X ≥ 8) ≈ 0.301989888 + 0.268435456 + 0.107374182
P(X ≥ 8) ≈ 0.6778
Therefore, the probability that more than 7 out of 10 surgeries are successful is approximately 0.68 (rounded to two decimal places).
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One of the fastest species of beetle can actually run at a speed of about 9 kilometers per hour. Convert 9 kilometer per hour to centimeters per second.
Given:
The speed of the beetle is, s = 9 km/h.
The objective is to convert the speed into centimeters per second.
Explanation:
Since, it is known that,
\(\begin{gathered} 1\text{ km=1,00,000 cm} \\ 1\text{ hour=3600 s} \end{gathered}\)Conversion;
Then, the speed can be converted as,
\(\begin{gathered} s=9(\frac{km}{hr})(\frac{1,00,000\text{ cm}}{1\text{ km}})(\frac{1\text{ hr}}{3600\text{ s}}) \\ =250\text{ cm/s} \end{gathered}\)Hence, the the converted value is 250 cm/s.
Find 3 ratios that are equivalent to the given ratio.
12 to 30
Answer:
4:10
24:60
48:120
As long as you multiply or divide both sides of the ratio by the same number, you will have an equivalent ratio.
which statement is true about this equation
The equation represents a linear function.
What is quadratic equation?
A quadratic equation is a polynomial equation of degree two which can be written in the form: ax² + bx + c = 0, where x is the variable and a, b, and c are constants with 'a' not equal to 0. The term 'quadratic' comes from the Latin word 'quadratus', which means 'square'.
The equation given in the image is a quadratic equation in standard form, which means it is written in the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
To determine which statement is true about this equation, we need to analyze its discriminant, which is given by the expression b^2 - 4ac. The discriminant tells us about the nature of the solutions of the quadratic equation.
If the discriminant is positive, then the equation has two distinct real roots.
If the discriminant is zero, then the equation has one real root (also known as a double root).
If the discriminant is negative, then the equation has two complex roots (conjugate pairs).
In the given equation, a = 3, b = -4, and c = 1. Substituting these values into the discriminant formula, we get:
b^2 - 4ac = (-4)^2 - 4(3)(1) = 16 - 12 = 4
Since the discriminant is positive, we know that the quadratic equation has two distinct real roots. Therefore, statement (A) is true.
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Someone please help with this math problem!!!
Answer:
15
Step-by-step explanation:
WILL MARK BRAINLIEST. Can someone help me wit des 4 questions? SHOW UR WORK FOR EACH QUESTION
1.) 5(2x+6)=8x+48
2.) -3(8+3h)=5h+4
3.) 2(y-6)=3(y-4)-y
4.) 8x-4=2(4x-4)
Answer:
1. \(x\) = 9
2. \(h\) = 2
3. Infinitely Many Solutions
4. No solution
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
1.) 5(2\(x\) + 6) = 8\(x\) + 48
Step 1: Expand.
10\(x\) + 30 = 8
Step 2: Subtract 30 from both sides.
10\(x\) = 8
Step 3: Simplify 8\(x\) + 48 − 30 to 8\(x\) + 18.
10\(x\) = 8
Step 4: Subtract 8\(x\) from both sides.
10\(x\) − 8
Step 5: Simplify 10\(x\) − 8\(x\) to 2\(x\).
2\(x\) = 18
Step 6: Simplify \(\frac{18}{2}\) to 9.
\(x\) = 9
2.) −3(8 + 3\(h\)) = 5\(h\) + 4
Step 1: Expand.
−24 − 9\(h\) = 5
Step 2: Add 24 to both sides.
−9\(h\) = 5
Step 3: Simplify 5\(h\) + 4 + 24 to 5\(h\) + 28.
−9\(h\) = 5
Step 4: Subtract 5\(h\) from both sides.
−9\(h\) − 5
Step 5: Simplify −9\(h\) − 5\(h\) to −14\(h\).
−14\(h\) = 28
Step 6: Divide both sides by −14.
\(h\) = \(-\frac{28}{14}\)
Step 7: Simplify \(\frac{28}{14}\) to 2.
\(h\) = 2
3.) 2(\(y\) − 6) = 3(\(y\) − 4) − \(y\)
Step 1: Expand.
2\(y\) − 12 = 3
Step 2: Simplify 3\(y\) − 12 − \(y\) to 2\(y\) − 12.
2\(y\) − 12 = 2 − 12
Step 3: Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
4.) 8\(x\) − 4 = 2(4\(x\) − 4)
Step 1: Expand.
8\(x\) − 4 = 8
Step 2: Cancel 8\(x\) on both sides.
−4 = −8
Step 3: Since −4 = −8 − 4 = −8 is false, there is no solution.
No solution
~I hope I helped you! Good luck :)~
NEED HELP ASAP
Solve 4 – x = –8.
Answer:
i think it is 12 positive
Step-by-step explanation:
i think
4 cm
5 cm
7 cm
10 cm
Work out the perimeter of this shape.
Answer:
34 centimeters
Step-by-step explanation:
Hope this helps! ;)
Answer: 34
Step-by-step explanation:
10+7+5+4+6+2= 34
X-Y=4
-2X+6(4-X)=3
-8X+24=3
-24 -24
-8X=-21
X=21/8
Y=11/8
(21/8,11/8)
find the error in the problem.
Answer: You did wrong at Y=11/8! It should be -11/8, not positive 11/8
Step-by-step explanation:
You solved it all right; just the y is wrong! The reason why y is -11/8 is that a negative and a negative will make a positive, and add an x positive, and you will get a positive answer. If y is negative, the answer would be negative!
the outbound trip of a bus was made at 24mi/h, while the return trip was made at 30mi/h. find the one way distance fi the total running time was 4.5 hour.
With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.
With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.
As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.
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Marsha is driving 640 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answer:
256 miles
Step-by-step explanation:
Divide 640 into 5 = 128
128 is 1/5 of the distance
128 x 2 = because she has driven 2/5 of the distance already.
128x2= 256 miles
:)
Multiply.
−3/7xy(−35x^3y^2)
Enter your answer in the box.
Answer:
[3] / [(245)(x^4) (y^3)]
Step-by-step explanation:
plz answer this question.
Answer: its D
Step-by-step explanation:
its D bc of the nutts
Write an equation of the line that passes through the point (6, 3) and is perpendicular to y=-1/3x+ 12.
y=3x+12
y=x+5
y=-1/3x+5
y=-1/3x+12
Answer:
A: \(y=3x+12\)
Step-by-step explanation:
To start we need to know what makes lines perpendicular. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.
Then, we need to understand the slope-intercept form of an equation. The slope intercept form is \(y=mx+b\) where \(m\) is the slope of the line and \(b\) is the y-intercept. We also know that \(x\) and \(y\) represent points on the line.
Now, since our equation is already in the correct form, we can start with finding the opposite reciprocal of the slope. To do this, all we have to do is flip the fraction upside down and multiply by -1. This means that the opposite reciprocal of \(-\frac{1}{3}\) would be \(\frac{3}{1}\) which can be written as \(3\).
Now, since we have a list of options and only one has the correct slope, we can safely choose option A.
Fabiana solved a linear equation and got the result 5= 5. what does this mean? Explain your answer
Rachana has a set of ten mugs the set up is made of 3 different mugs
If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.
To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.
Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.
For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.
Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.
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Complete question is:
Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?
\(P=\frac{11}{40}+\frac{1}{4}-\frac{1}{20}\)
Answer
p = 19/40
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select all the proper fractions .
a ; 5/3
b ; 6/7
c ; 12/17
d ; 9/6
e ; 11/4
f ; 6/25
Answer:
B
C
F
Step-by-step explanation:
6/7
12/17
6/25
Best,
SunflowerJada
Kono divides The numerator and the denominator of 4872 by the greatest common factor to simplify the fraction in one step by what number does he divide
Complete question:
Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide
Answer:
2/3
Step-by-step explanation:
Given the number : 48 / 72
Obtain the greatest common factor of 48 and 72
- - - - 48 - - - - 72
- 2-- 24 - - - - 36
- 2 - 12 - - - - - 18
- 2 - 6 - - - - - - 9
- 3 - 2 - - - - - - 3
The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24
Hence, divide both the numerator and denominator by 24 ;
Numerator = 48/24 = 2
Denominator = 72 / 24 = 3
= 2/3
What are the measures of line segments AB and AC?
Answer:
So you want to know the number of a b and c?
Step-by-step explanation :
Answer:
a = 90°
b = 60°
c = 30°
Step-by-step explanation:
hope u understood
can you help me now