Answer:
w = [tex]\frac{ku}{d^{2} }[/tex]
Step-by-step explanation:
An equation that expresses the given relationship is ud²=1.
Given that, w varies directly with u and inversely with the square of d.
We need to write an equation that expresses the following relationship.
What is directly and inversely varies?Direct variation is a linear function defined by an equation of the form y = kx when x is not equal to zero. Inverse variation is a nonlinear function defined by an equation of the form xy = k when x is not equal to zero and k is a nonzero real number constant.
Now, w∝u⇒w=ku
and w∝1/d²⇒w=k/d²
⇒wd²=k
⇒w=wd²u
⇒ud²=1
Therefore, an equation that expresses the given relationship is ud²=1.
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https://brainly.com/question/2315806.
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Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/6, 1/12, and 1/21 of the accidents result in death, respectively. Sunny conditions occur 64% of the time, while rainy and foggy conditions each occur 18% of the time.
What is the probability that an accident results in a death? Round your answer to three decimal places (e.g. 98.765).
shining dnkxdvsuxnxkjdndnx
moses is inviting 10 friends to a party each friend wants 4 cookies and each box has 10 cookies how many boxes should moses get?
Answer:
4
Step-by-step explanation:
Since each friend wants 4 cookies, and there are 10 friends, there are 10 x 4 = 40 cookies total Moses should buy. Since each cookie box has 10 cookies in it, he should buy 40/10 = 4 total cookie boxes.
Find the measure of each side of this triangles. Answer in exact form.
Answer:
[tex]sin(0)=opposite/hypotenuse,cos(0)=adjacent/hypotenuse[/tex]
[tex]sin(60)=\frac{x}{8\sqrt{5} } ,\:\:cos(60)=\frac{y}{8\sqrt{5} }[/tex]
[tex]\frac{\sqrt{3} }{2} =\frac{x}{8\sqrt{5} } \:\:\:\:\frac{1}{2} =\frac{y}{8\sqrt{15} }[/tex]
[tex]2x=8\sqrt{5} \times\sqrt{3} \:\;\:\:2y=1\times8\sqrt{15}[/tex]
[tex]2x=\frac{8\sqrt{15} }{2} \:\:\:\:2y=8\sqrt{15}[/tex]
[tex]x=8\sqrt{15} /2\:\:\: y=8\sqrt{15} /2[/tex]
[tex]x=4\sqrt{15}[/tex] [tex]y=4\sqrt{15}[/tex]
OAmalOHopeO
A dress is on sale for $98. What was the original price of the dress if the discount was 1/3 of the original price?
The original price of the dress is $294 if the dress is on sale for $98.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A dress is on sale for $98.
Discount price = (1/3)original price
Let x be the original price of the dress.
We can make a mathematical equation:
(1/3)x = 98
x = $294
Thus, the original price of the dress is $294 if the dress is on sale for $98.
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The image is attached below. Thank you
Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
same as the person above plato 2022'
Which table represents a linear function? Y X y 7 1 XEM 1 N N 9 13 21 Ž 3 -- 4 2 4 O 6 16 30. witch table is a liner function.
Answer:
1st option (top left)
Step-by-step explanation:
1st option represents a linear function
y = x/2
Answered by GAUTHMATH
HELP
1) Determine the sum of row 19 in Pascal's triangle
Answer: 262144
Step-by-step explanation: You can calculate & draw it out. Then, add the values in the second-to-bottom row of the picture below.
262144 if I'm correct....
Sand, gravel and cement are mixed in a ratio of 5 : 10 : 3 to make concrete. If 35 shovels of sand are used, how many shovels of gravel, and how many shovels of cement are used?
Answer:
70 shovels of gravel, and 21 shovels of cement.
Step-by-step explanation:
35/5 = 7.
10 x 7 = 70, which is the number of shovels for gravel.
3 x 7 = 21, which is the number of shovels for cement.
Which inequality best represent that ice cream at -3°C is cooler than ice cream at 1°C?
Its Option 2
-3°C < 1°C
Explanation:
The best possible interpretation will be the above.
To show -3 cooler we will use this sign <
Must click thanks and mark brainliest
solve each question please thank you
Answer:
SURE
Step-by-step explanation:
Your help is very much appreciated and I will mark you brainliest:)
9514 1404 393
Answer:
(c) Yes, SSS
Step-by-step explanation:
The three pairs of corresponding sides have the same ratio:
12/8 = 15/10 = 21/14 = 3/2
The triangles are similar by SSS.
_____
No angles are shown, so SAS and AAA cannot apply.
Please help! Brainiest will be given for correct answers only.
Answer:
see below
Step-by-step explanation:
x^2 + 10x+25 =0
This is the sum of squares
(x+5)^2 =0
x = -5 one solution
x^2 +5x = 0
x(x+5) = 0
x=0 x=-5 two solutions
x^2 -10x +25 = 0
This is the difference of squares
(x-5)^2 = 0
x=5 one solution
x^2 -25 =0
x^2 = 25
x = ±5 two solutions
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex] x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 [/tex]
one solution[tex]x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 [/tex]
two solution[tex]x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2[/tex]
one solution[tex]x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 [/tex]
two solutionWhich system of inequalities is shown?
Answer:
y<x
y<4
Step-by-step explanation:
this is because the first line is passing through the point 4 on the y axis but the line drawn isn't a solid line therefore the answer will just be y<4, not less than or equal to.
while for the second line it's cutting the graph into two equal parts,the shaded part represents y<x you can prove it by getting two points on that side of the graph let's say (-5,5)
this will be -5<5..which is right.
I hope this helps
PLEASE HELP QUICKLY
Determine whether the given sequence could be arithmetic. If so, identify the first difference and the next term.
-6, -11, -16, -21, -26.....
Answer:
The first difference is -5. The next term is -31.
Step-by-step explanation:
If you find the difference between -6 and -11, then you get -5.
And, all the other ones also have differences of -5, so basically, the next term is -31.
Thanks! Please mark me Brainliest!
Answer:
It could be arithmeticIf so, then the first difference is -5 and the next term is -31===================================================
Explanation:
Pick any term and subtract off the previous term
term2 - term1 = -11 - (-6) = -11 + 6 = -5term3 - term2 = -16 - (-11) = -16 + 11 = -5term4 - term3 = -21 - (-16) = -21 + 16 = -5term5 - term4 = -26 - (-21) = -26 + 21 = -5No matter what we picked, we end up with the same result which is -5. This is the common difference aka first difference.
If this pattern keeps up forever, then the sequence is arithmetic.
And if the pattern keeps up, then the next term would be
term6 = term5 + (common difference)
term6 = -26 + (-5)
term6 = -31
Note: Adding -5 is the same as subtracting 5.
A principal P is to be invested at continuous compound interest of 1.9% to yield $50,000 in 20 years. What is the approximate value of P to be invested?
You may need to delete the dollar sign and/or the comma when typing in the answer.
=======================================================
Work Shown:
[tex]A = P*e^{rt}\\\\50,000 = P*e^{0.019*20}\\\\50,000 = P*e^{0.38}\\\\P = \frac{50,000}{e^{0.38}}\\\\P \approx 34,193.0704606\\\\P \approx 34,193.07\\\\[/tex]
Side note: the 'e' is a special constant roughly equal to 2.71828...
PLEASE HELP AND BE CORRECT BEFORE ANSWERING
Answer:
False, false
Step-by-step explanation:
I’m not 100% sure but I think that’s the correct answer
Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Step-by-step explanation:
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded
A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57% hydrogen peroxide to make the desired solution?
Answer:
16 mls of the 75% solution and 20 mls of the 0.57% solution.
Step-by-step explanation:
Set up a system of equations:
Let x = volume of 75% solution and y be volume of 57% solution
0.75x + 0.57y = 36*0.65
0.75x + 0.57y = 23.4.......(1)
x + y = 36.........(2)
From equation (2):
y = 36 - x
Substituting this into equation(1):
0.75x + (0.57(36 - x) = 23.4
0.75x + 20.52 - 0.57x = 23.4
0.18x = 23.40 - 20.52 = 2.88
x = 2.88/0.18
x = 16
so from equation (2): y = 36-16 = 20.
Pleaseee helllppppp!
Given:
The terminal point of [tex]\theta[/tex] is [tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex].
To find:
The value of [tex]\sin \theta[/tex].
Solution:
If the terminal point of [tex]\theta[/tex] is [tex](x,y)[/tex], then
[tex]\sin \theta = \dfrac{y}{\sqrt{x^2+y^2}}[/tex]
The terminal point of [tex]\theta[/tex] is [tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex]. So,
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{\left(\dfrac{1}{2}\right)^2+\left(\dfrac{\sqrt{3}}{2}\right)^2}}[/tex]
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{\dfrac{1}{4}+\dfrac{3}{4}}}[/tex]
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{1}}[/tex]
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{1}[/tex]
[tex]\sin \theta =\dfrac{\sqrt{3}}{2}[/tex]
Therefore, the correct option is B.
The credit department of Lion's Department Store in Anaheim, California, reported that 30% of their sales are cash, 30% are paid with a credit card, and 40% with a debit card. Twenty percent of the cash purchases, 90% of the credit card purchases, and 60% of the debit card purchases are for more than $50. Ms. Tina Stevens just purchased a new dress that cost $120. What is the probability that she paid cash?
Answer:
Hence the probability that she paid cash is 0.105
Step-by-step explanation:
P(cash) = 0.3
P(credit card ) = 0.3
P(debit card ) = 0.4
P ( more than $50 | cash ) = 0.2
P (more than $50 | credit card ) =0.9
P (more than $ 50 |debit card ) = 0.6
P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )
= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4
= 0.57
P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)
= 0.2* 0.3 / 0.57
= 0.105
Julio has a net pay of $ 537.00 each paycheck. He pays $ 142.00 in pre-tax deductions and taxes each paycheck. What is Julio's gross income before the tax deductions?
Answer:
Julio's gross income before the tax deductions is $ 405.
Step-by-step explanation:
Given that Julio has a net pay of $ 537.00 each paycheck, and he pays $ 142.00 in pre-tax deductions and taxes each paycheck, to determine what is Julio's gross income before the tax deductions the following calculation must be performed:
547 - 142 = X
405 = X
Therefore, Julio's gross income before the tax deductions is $ 405.
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within with % confidence if (a) she uses a previous estimate of ? (b) she does not use any prior estimates?
Answer:
732 samples ;
752 samples
Step-by-step explanation:
Given :
α = 90% ; M.E = 0.03 ; p = 0.58 ; 1 - p = 1 - 0.58 = 0.42
Using the relation :
n = (Z² * p * (1 - p)) / M.E²
Zcritical at 90% = 1.645
n = (1.645² * 0.58 * 0.42) / 0.03²
n = 0.65918769 / 0.0009
n = 732.43076
n = 732 samples
B.)
If no prior estimate is given, then p = 0.5 ; 1 - p = 1 - 0.5 = 0.5
n = (Z² * p * (1 - p)) / M.E²
Zcritical at 90% = 1.645
n = (1.645² * 0.5 * 0.5) / 0.03²
n = 0.67650625 / 0.0009
n = 751.67361
n = 752 samples
Plzz help me with my summer school work
Sheri surveyed eighty students and then generated three random samples of twenty-five student responses. The means of the samples are shown below. Looking at the table of samples means, which value is the best estimate of the mean of the population?
Answer:
Where is the table cant help unless shown
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
12< average >16
14 is the only one in between 12 and 16.
or.....................................................................................................
12 + 16 + 13 = 41.
41/3 = 13 2/3.
13 2/3 rounds to 14 and it's the closest to it.
What is the answer for -7 x 7 please say the explanation too.
-7 x 7 = -49
We can first figure out 7 x 7, which will be 49. Once we have that, we can look at our negatives. If we have an odd number of negative signs, the answer will be negative. If we have an even number of negative signs, the answer will be positive. In this case, we only have 1 negative sign, and 1 is odd, therefore our answer will be odd.
ANSWER: -49
Hope this helps!
Answer:
-49
Step-by-step explanation:
i cant find a way to explain but you can count or use a table
You think that $39,500 is a good salary and are interested in a job with Fast Pax. What other information might you want to know about Fast Pax salaries, and why?
Given m||n, find the value of x.
+
126
m
.
Answer:
54
Step-by-step explanation:
They are supplementary and add to 180 so subtract 126 from 180 and you get 54
Find the intersection of the line and the circle given below
y=-x-3
x^2+y^2=17
Answer:
There are two points of intersection
(-4,1) and (1,-4)
Step-by-step explanation:
Answer:
the guy above me is correct
Step-by-step explanation:
I need help with this
Answer:
[see below]
Step-by-step explanation:
Reflection over the x axis is: [tex](x,y)\rightarrow(x,-y)[/tex]
(0, -2) - > (0, 2)
(5, -1) - > (5, 1)
(2, -4) - > (2, 4)
A'B'C' should be (0,2), (5,1) and (2,4). (Or option B)
Hope this helps.
multiplication between exponentiation number 648
Answer:
648 is the sum of consecutive prime numbers 317 and 331.
The sixth root of 648 begins with 2.941682753. Notice all the digits from 1 to 9 appear somewhere in those nine decimal places. OEIS.org states that 648 is the smallest number that can make that claim.
From Archimedes-lab.org I learned some powerful facts about the number 648:
16² – 17² + 18² – 19² + 20² – 21² +22² – 23² + 24² – 25² + 26² – 27² + 28² – 29² + 30² – 31² + 32² = 648
48² – 47² + 46² – 45² + 44² – 43² +42² – 41² + 40² – 39² + 38² – 37² + 36² – 35² + 34² – 33² = 648
(1^2)(2^3)(3^4) = 648
18² + 18² = 648
(6^3) + (6^3) + (6^3) =648
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Print the puzzles or type the solution on this excel file: 10 Factors 2015-10-12
—————————————————————————————————
648 is a composite number.
Prime factorization: 648 = 2 x 2 x 2 x 3 x 3 x 3 x 3, which can be written 648 = (2^3) x (3^4)
The exponents in the prime factorization are 3 and 4. Adding one to each and multiplying we get (3 + 1)(4 + 1) = 4 x 5 = 20. Therefore 648 has exactly 20 factors.
Factors of 648: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Factor pairs: 648 = 1 x 648, 2 x 324, 3 x 216, 4 x 162, 6 x 108, 8 x 81, 9 x 72, 12 x 54, 18 x 36, or 24 x 27
Taking the factor pair with the largest square number factor, we get √648 = (√324)(√2) = 18√2 ≈ 25.455844122…