d=r•t , formula show a joint variation , Option C is the answer.
What is a Joint Variation ?The variation when a variable is dependent upon two or more variables and varies directly as either of them are taken constant is called Joint Variation.
According to the question , which among the options shows a Joint Variation.
Option 1 d = 50 t
It shows direct variation , as increase in t will directly increase d 50 times * the increase
Option 2 d = 16t²
It also shows direct square variation .
Option 3 d=r•t
In this variation d is dependent on two variables and so it is a joint variation.
Therefore Option C is the answer.
The complete question is ?
Which distance formula or formulas show a joint variation? d=50t, d=16t^2, d=r•t
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A suspension bridge with weight uniformly distributed along its length has twin towers that extend 70 meters above the road surface and are 1200 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 300 meters from the center. (Assume that the road is level.)
Answer:
17.5 m
Step-by-step explanation:
The height of a parabola above its vertex is proportional to the square of the distance from the vertex.
Cable heightThe towers are 1200 m apart, so each is 600 m from center. The location of interest is 300 m from center, so 1/2 the distance to a tower. Since the height is proportional to the square of the distance, the height half-way to the tower will be (1/2)² = 1/4 the height of the tower.
(1/2)²×(70 m) = 17.5 m
The height of the cable 300 m from center will be 17.5 meters.
Use the Histogram below to answer
Considering the given histogram, we have that:
1. Chebyshev's Theorem.
2. At least 89%.
3. At least 75%.
What does Chebyshev’s Theorem state?When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
We can see from the histogram that the distribution is not normal, hence Chebyshev's Theorem can be used.
-15 and 105 are within 3 standard deviations of the mean, hence the percentage is of at least 89%.
As stated in the bullet points, at least 75% of the measures are within 2 standard deviations of the mean.
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Solve x2 – 8x + 15 < 0. Select the critical points for the inequality shown. –15 –5 –3 3 5
The critical points are within rthe range 3<x<5
Quadratic equationsThese are equations that has a leading degree of 2. Given the expression below.
x²-8x+15<0
Factorize
x²-3x-5x+15<0
Factor out the GCF
x(x-3)-5(x-3) <0
Group
(x-3)(x-5)<0
Find the solution
x < 3 and x <5
Hence the critical points are within rhe range 3<x<5
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When 5times a number is increased by 10, the answer is the same as when 100 is decreased by the number. What is the number?
Answer:
x = 15
Step-by-step explanation:
[tex]5x + 10 = 100 - x[/tex]
[tex]6x = 90[/tex]
[tex]x = 15[/tex]
The table shows the educational attainment of the population of Mars, ages 25 and over, expressed in millions. Find the probability that a randomly selected martian, aged 25 and over has completed four years of high school only or is a male. The probability is?
The probability of picking a martian that has completed 4 years of high school or is a male is 72 / 85.
What is the probability?Probability determines the odds that a random event would happen. The odds of the event happening lie between 0 and 1.
The probability = (total number of people who have finished 4 years of high school / total number of martains) + (total number of males / total number of martains)
58 / 170 + 86/170 = 144 / 170 = 72 / 85
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1. What is the Importance of Finance in a Business?
2. What is the impact of Business in our economy?
Answer:
1) Finance is very important in a business as to meet the expenses from manufacturing a product to solding it capital is required. without finance one cannot run a business . even a small scale business requires some finance.
2) Business has a great impact in our economy. it increases the overall economy and contributes somewhere between 70 to 72% to the GDP.
Find the volume of a sphere with a diameter of 3 centimeters
Answer: 14.14
Step-by-step explanation:
Volume=(4/3)*π*r³
Given d=3
as we know that d=2r
3/2=r
1.5=r
Volume=(4/3)*π*(1.5)³
Volume =14.14
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
All the roles have now been cast, and the lead actors playing the following parts are gathered around a large circular table for their first read: Jean Valjean, Inspector Javert, Thénardier, Enjolras, Marius, Fantine, adult Cosette, adult Éponine, and Madame Thénardier. It is your job to seat these 9 actors, the 3 producers, and the director around the table.
Remember that there are 5 lead male roles and 4 lead female roles. If you must seat the male leads together, the female leads together, the 3 producers together, and the director by himself, how many different ways can you seat the 13 people around the circular table?
103,680
479,001,600
6,227,020,800
17,280
Answer:
6227020800
is mi answer
The degree of polynomial, x^4-x^2+2 is
Answer:
4
Step-by-step explanation:
Select three ratios that are equivalent to 11:111:111, colon, 1.
Choose 3 answers:
The three ratios that are equivalent to the given ratio are options B, C and E.
How to determine the equivalent ratios?In order to determine the ratios that are equivalent to the given ratio, we would evaluate by dividing each of them by their respective denominator value:
(11:111:111)/1 = 11:111:111.
For choice A, we have:
1:111:111/11 = 1/11:111:111 (not equivalent).
For choice B, we have:
22:222:222/2 = 11:111:111. (equivalent).
For choice C, we have:
55:555:555/5 = 11:111:111. (equivalent).
For choice D, we have:
9:999:999/99 = 1/11:111:111 (not equivalent).
For choice E, we have:
110:1110:1110/10 = 11:111:111. (equivalent).
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Complete Question:
Select three ratios that are equivalent to 11:111:111, colon, 1. Choose 3 answers: Choose 3 answers: (Choice A) A 1:111:111, colon, 11 (Choice B) B 22:222:222, colon, 2 (Choice C) C 55:555:555, colon, 5 (Choice D) D 9:999:999, colon, 99 (Choice E) E 110:1110:1110, colon, 10.
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
Ox=8
Ox= 10
Ox=13
Ox=18
Question 10 of 10
Use long division to find the quotient below.
(4x³+ 11x2 +9) + (x+3)
A. 4x²+x+3
OB. 4x²-2x+3
OC. 4x²-x+ 3
OD. 4x²+2x+3
The quotient of the division using the long division rule is 4x^2 - x + 3
Synthetic division of functionsPolynomial functions are functions that has a leading degree of 3 and above. Given the following parameters.
Dividend = 4x³+ 11x2 +9
Divisor = x + 3
Using the synthetic division to determine the quotient
4x^2 - x + 3
x+3 | 4x³+ 11x2 +9
4x³ + 12x²
__________________
-x² + 0x
-x² - 3x
___________________
3x+9
3x+9
___________________
-------
Hence the quotient of the division using the long division rule is 4x^2 - x + 3
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A banana grows from a tiny flower that is called "a finger". Each row of
bananas is called a "hand" and can contain 14 to 20 "fingers". Each banana
bunch can grow 9 to 12 hands.
1) What is the least amount of bananas that can grow from each bunch?
The smallest number of bananas that can grow in a bunch is 126.
How to calculate the least amount of bananas that can grow in a bunch?To calculate the least amount of bananas that can grow in a bunch, we must identify which are the smallest possibilities, in this case they are 14 fingers per hand and 9 hands per bunch.
According to the above, the least amount of bananas per bunch would be:
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I need help with number 15 and 16
Answer:
please see explanations
Step-by-step explanation:
For the first question,
Sum of angles in a triangle equal180°3x + 4x + 2x = 180
9x = 180°
Dividing bothsides by 9
9x/9 = 180/9
x = 20
The measure of the interior angles are :
3x = 3(20) = 60
4x = 4( 20) = 80
2x = 2(20) = 40
For the second question,
Let's find x first.
Angles on a straight line equal 180°.x + 92 = 180
x = 180 - 92 = 88°
To find A note that:
Exterior angle equal sum of opposite interior angles.A = 88° + 43°
A = 131°
What are the x-intercepts of this function?
g(x) = -0.25x2 − 0.25x + 5
Answer:
(-5,0) and (4,0)
x= -5 and x= 4
Step-by-step explanation:
Then what is the value of x?
Answer:
d.) x = -40
Step-by-step explanation:
[tex]\sf Given \ equation: \ log_{5} (-3x+5) = 3[/tex]
Solving steps:
[tex]\rightarrow \sf log_{5} (-3x+5) = 3[/tex]
If logₐ(b) = c then b = aᶜ
[tex]\rightarrow \sf -3x+5 = 5^3[/tex]
[tex]\rightarrow \sf -3x+5 = 125[/tex]
[tex]\rightarrow \sf -3x = 125-5[/tex]
[tex]\rightarrow \sf -3x = 120[/tex]
[tex]\rightarrow \sf x = 120/-3[/tex]
[tex]\rightarrow \sf x = -40[/tex]
Answer:
x= -40
Hope this helps!!
Solve the proportion 2:x x 4:34
[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]
Solve the proportion. [tex]\bf{\dfrac{2}{x}=\dfrac{4}{34}[/tex].
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
We multiply 2 by 34, and x by 4 (this is known as cross multiplication)
[tex]\bf{2*34=4*x}[/tex] | simplify
[tex]\bf{68=4x}[/tex] | solve in terms of x
[tex]\bf{17=x}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{17=x}[/tex]
Anu bought 15 stickers for 225 each and Arjun bought 25 stickers for 215 each. Who paid more? Give a reason for your answer.
Answer: Arjun paid more than Anu of about $2000.
Total cost
unit amount × per unit cost
For Anu total cost:
⇒ 15 × $225
⇒ $3375
For Arjun total cost:
⇒ 25 × $215
⇒ $5375
Anu paid $3375 for each whereas Arjun paid $5375 for each.
Conclusion: Arjun paid more.
Choose the most convenient method to graph the line y=−13x+5
Select the correct answer below:
Recognize the equation as that of a vertical line passing through the x-axis at 5
Recognize the equation as that of a horizontal line passing through the y-axis at 5
Identify the slope and y-intercept and then graph
Find the x- and y-intercepts and then graph
The most convenient method to graph the line y=−13x+5 is C. Identify the slope and y-intercept and then graph.
How to illustrate the information?From the information given, the equation has been given. It's important to identify the slope. This is the gradient of the line.
Also, the y intercept should be identified. Therefore, the most convenient method to graph the line y=−13x+5 is to identify the slope and y-intercept and then graph.
In conclusion, the correct option is C.
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For a population with μ = 165 , z-score =2.46, and data value = 206. Find the standard deviation σ . Round your answer to the nearest hundredths place.
Answer:
The standard deviation is 16.67
================
GivenMean μ = 165 , z - score z = 2.46, Data value x = 206.To findThe standard deviation σ.SolutionUse z-score formula to find the missing value:
z = (x - μ )/σ ⇒ σ = (x - μ)/zSubstitute values into equation and find the standard deviation:
σ = (206 - 165)/2.46 = 16.67 (rounded).a rectangular tank has Breath ( x + 3 )and length (x + 5) .write an expression for the area and find the area of the triangle if x = 7
Step-by-step explanation:
Length = 5 cm and Breadth = 3 cm
Area of a rectangle = length × breadth
=(5×3) cm
2
=15 cm
2
Hence, Area of rectangle with length 5 cm and breadth 3 cm is 15 cm
In this activity, you will use multiple representations of relationships to identify key features and solve problems.
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information:
the amount of plant food remaining in the container after each day’s feeding
the height of the plant over time
Part A
Ryan found that the amount of plant food remaining decreased an equal amount each day, and he used the entire 72 milliliters by the end of his study.
Part B
Ryan also found that he could model the height of his plant with the equation h = 0.5d + 4, where d is the number of days and h is the height in centimeters.
Part C (This is the question that I need help on....PLEASE?)
Explain the similarities and differences between the two relationships in this situation.
The domain will be 0<x<6 and the range will be 0<y<72.
How to illustrate the information?The information given implies that this would be a continuous relationship.
The process of elimination can be used to rule out the sets of numbers that are used in discrete relationships.
X is the amount of days that he was studying the plants.
The inequality is written like this for x: 0<x<6.
For the range, y is the plant food that was used which is 72 milliliters.
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What is the measure of n?
28
n = [?]
n
7
3
Answer: 14
Step-by-step explanation:
By the geometric mean theorem,
[tex]\frac{n}{28}=\frac{7}{n}\\\\n^{2}=196\\\\n=\boxed{14}[/tex]
Solve for x in the following equation:
42x-5=23x+7
O x=-17
O x=-12
O x = 12
Ox=17
Answer:
x = 17
Step-by-step explanation:
1) Make the bases the same then rewrite.
4 = 2²
2^2(2x - 5) = 2^3x + 7
2) Since the bases are the same, set the exponents equal to each other.
2(2x -5) = 3x + 7
4x - 10 = 3x + 7
4x - 3x = 7 + 10
x = 17
Justin's box of crayons was full. He gave half the crayons in the box
to Daniel. How much remained in Justin's box?
find sum of 5, 13, 21, ... 181
The length of a rectangle is 8 inches and the width is x inches. What is the perimeter, in inches?
A. 16+ 2x
B. 10+2x
C. 16+ x
D. 10+ x
A glass aquarium with the dimensions shown has a mass of 5 kg when empty what is the mass of the aquarium when it is half full of water I will give you king thing if you answer good
The required mass of aquarium when it is half full of water is 10 kg.
Mass of the aquarium = 5kg
Length = 25 cm, width = 20 cm and height = 10 cm(when half filled)
Volume, is defined as the ratio of the mass of object to its density.
Since, density of the water = 1000 Kg/m³
Now Mass of the water = Volume x density
= 25/100 x 20/100 x 10/100 x 1000
= 0.005 x 1000
= 5 kg
Now, the total mass of the aquarium when half filed by water.
= mass of water + mass of aquarium
= 5 + 5
= 10 kg
Thus, the required mass of aquarium when it is half full of water is 10 kg.
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A circle has a radius of 17cm. Find the radian measure of the central angle θ that intercepts an arc of length 5cm.
Answer:
3.14 PIE
Step-by-step explanation:
Use Pie the method we all learned I think it’s 3.14
Find the equation of this line.
1
y = [? ]x + [
Simplify your answer and enter as an integer.