A quantity h varies directly with w and inversely with p. when w = 4 and p = 6, h = 2. what is the constant of variation? one-twelfth four-thirds 3 12
Answers
The value of the constant of variation is 3. The correct option is the third option- 3
VariationFrom the question, we are to determine the constant of variation.
Let the constant of variation be k
From the give information,
A quantity h varies directly with w and inversely with p
That is,
[tex]h \propto \frac{w}{p}[/tex]
Introducing the constant of variation, k, we get
[tex]h = k\frac{w}{p}[/tex]
Also, from the give information,
w = 4
p = 6
h = 2
Putting the parameters into the relation, we get
[tex]2 = k \times \frac{4}{6}[/tex]
[tex]6\times 2 = 4k[/tex]
[tex]k = \frac{6\times 2}{4}[/tex]
k = 3
Hence, the value of the constant of variation is 3. The correct option is the third option- 3
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Answer:
Answer is 3
Step-by-step explanation:
~Hope this helps!
Related Questions
The number of 22 cent stamps, n, can be found by solving the equation: 22n + 17(20 − n) = 400
How many 22 cent stamps are in the book?
Answers
Answer:
12
Step-by-step explanation:
22n + 17(20 - n) = 400 ← distribute parenthesis and simplify left side
22n + 340 - 17n = 400
5n + 340 = 400 ( subtract 340 from both sides )
5n = 60 ( divide both sides by 5 )
n = 12
there are 12, 22 cent stamps in the book
You have a biased coin, where the probability of flipping a heads is 70%. You flip once, and the coin comes up tails. What is the expected number of flips from that point (so counting that as flip #0) until the number of heads flipped in total equals the number of tails?
Answers
The expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2
How to determine the number of flips?The given parameters are:
P(Head) = 70%
The expected number of flipping a head is:
E(x) = 70% * x
The expected number of flipping a tail is:
E(x) = (1 - 70%) * x + 1
Where 1 represents the first flip
When both values are equal, we have:
70% * x = (1 - 70%) * x + 1
Evaluate
0.7x = 0.3x + 1
Evaluate the like terms
0.4x = 1
Divide both sides by 0.4
x = 2.5
Remove the decimal
x = 2
Hence, the expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2
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Triangles are stacked beside each other to form a prism. which statements are true regarding the prism? check all that apply. the prism has no vertices. the prism has 9 edges. the bases of the prism are triangles. the bases of the prism are rectangles. the prism has 5 faces.
Answers
The true statements based on the information are the bases of the prism are rectangles and the prism has 5 faces.
What is a pyramid?A pyramid is defines as a polyhedron formed by connecting a base to a point known as a vertex.
The pyramid formed from stacking triangles besides each other will have vertices, even number of edges and faces
The true statements based on the information are the bases of the prism are rectangles and the prism has 5 faces.
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Answer:
B C E , edge22
Step-by-step explanation
drink some water today and remember to take a break for yourself have a wonderful dayday
A triangle has sides with lengths of 4 centimeters, 12 centimeters, and 13 centimeters. Is it a right triangle.
Answers
Answer:
No, this isn't a right triangle.
Step-by-step explanation:
To check if the triangle is right we can use Pythagorean Theorem. If the equation turns out as true, the triangle is right.
Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
c ... hypotenuse
a ... one leg
b ... another leg
The longest side in a right triangle is always hypotenuse, therefore we use the side which is 13 cm long as hypotenuse.
[tex]c^2 = a^2 + b^2\\13^2 = 4^2 + 12^2\\169 = 16 + 144\\169 = 160[/tex]
Number 169 isn't equal to 160 so the equation is false. That means that the triangle is not right.
would someone help me 2/3 2/1 8/9 7/9 breast to least
Answers
Answer:
First of all, it's the Greatest to least! Second of all, 2/1, 8/9, 7/9, and 2/3.
Step-by-step explanation:
2/1 is 2, 8/9 is 1 more ninth than 7/9, and 2/3 is less third than 1.
Answer:
It is 2/1 then 2/3 then 7/8 then 8/9 i hope this helps you friend
Step-by-step explanation:
At the local nursery, 1/4 of the plants for sale are flowers and another 3/5 of them are bushes. What fraction of the plants for sale are either flowers or bushes?
Answers
Answer:
17/20
Step-by-step explanation:
1/4 +3/5 simplify into:
5/20 + 12/20= 17/20
The surface area of a sphere is 1,017.36 square inches. What is the volume of the sphere? Use 3.14 for pi
Answers
Which number sentence is not true?
A. | -1 | > 1/2
B. | -1 | = -1
C. | 1/2 | < | -1 |
D. | -1/2 | < | -1 |
Answers
Answer:
Option B
Step-by-step explanation:
|-1| [tex]\neq[/tex] -1
|-1| = 1
Answer:b
Step-by-step explanation: bc it’s right
The number of 9th graders attending the
high school in 2014 is expected to be 20%
greater than the 2012 total. How many 9th
graders are expected to be at the high school
in 2014?
Answers
just do 1.2*number of students in 2012 to get the answer
Answer:
432 9th grade a students
Step-by-step explanation:
so In 2012 there the percentage was 11th grade 11% and 12th grade 12% and 9th grade 30% and 10th grade 47%
total is 1200
in 2014 their is 1.2*1200 students as that is adding on 20%
which is 1440
so then do 0.3*1440=432 9th grade a students as that give your 30%
Emmet set up a bubble station for his little sister's birthday party. He filled a bubble machine and a bottle for kids to blow their own bubbles. In the bubble machine, Emmet mixed 12 ounces of dish soap and 24 ounces of water. In the bottle, he mixed 5 ounces of dish soap and 9 ounces of water. Which container had the greater ratio of dish soap to water?
Answers
Answer:
It's 5912
Step-by-step explanation:
It's 5912 cause 5912 is the answer.
PLEASE HELP!!! NEED QUICKLY!!! WILL GIVE EXTRA POINTS AND WILL MARK BRAINLIEST!!! NEED ANSWERS TO ALL
Answers
Answer:
B and D have a horizontal line of symmetry ( their top and bottom parts match ) Some letters like X, H, and O, have vertical and horizontal lines of symmetry. some like P, R, and N have no lines of symmetry.
Step-by-step explanation:
A,. C,. D,. E,. H,. I,. M,. O,. T,. U,. V,. W,. X,. and Y have lines of reflective symmetry. Some of them have more than one.
'O' has an infinity of them.
There is no way for you to give extra points.
Which sentences represent the inequality? check all that apply. 2.1 (-1.2x) greater-than-or-equal-to 8 the sum of 2.1 and –1.2 times a number is at least 8. the sum of 2.1 and –1.2 times a number is no more than 8. the sum of 2.1 and –1.2 times a number is a maximum of 8. the sum of 2.1 and –1.2 times a number is greater than or equal to 8. the sum of 2.1 and –1.2 times a number is a minimum of 8.
Answers
The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.
Inequality functionsInequality are expressions not separated by an equal sign, Given the inequality;
2.1 + (-1.2x) ≥ 8
The sign ≥ means greater than or equal to
The expression 2.1 + (-1.2x) ≥ 8 can also be expressed as 2.1 - 1.2x ≥ 8
The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.
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Answer:
The 1st, 4th, and 5th
Step-by-step explanation:
At Webster Elementary School, of
the fifth graders are enrolled in summer
camps. Of the students enrolled in
summer camps, 12 are enrolled in an
art camp. What fraction of the fifth
graders at Webster are enrolled in
art camp?
Answers
8/12 of fifth graders at Webster are enrolled in
art camp
Step-by-step explanation:
Question: At Webster Elementary School, 4/6 of the fifth graders are enrolled in summer camps. Of the students enrolled in summer camps, 8/12 are enrolled in an art camp. What fraction of the fifth graders at Webster are enrolled in art camp?
Given:
4/6 of the fifth graders are enrolled in summer camps.
8/12 are enrolled in an art camp.
fraction of the fifth graders enrolled in art camp:
find common denominator, 4/6 x 2/2 = 8/12
8/12 = 4/6 which means all went to art camp
3 pts What is the Slope-Intercept form of the equation of a line that passes through the point (-6, -3) and is parallel to the line y = 2x – 3?
Answers
- - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the S.I. form of the equation that passes through (-6,3) and is parallel to y=2x-3?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Parallel lines have the same slope.
[tex]\bigstar[/tex] The line y=2x-3 has a slope of 2, therefore, the line parallel to it has a slope of 2.
Now let's write the equation of the new line in point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Replace y1 with -3, m with 2, and then write -6 in lieu of x1:-
[tex]\sf{y-(-3)=2(x-(-6)}[/tex]
On simplification,
[tex]\sf{y+3=2(x+6)}[/tex]
On further simplification,
[tex]\sf{y=2x+12-3}[/tex]
Which results in:-
[tex]\sf{y=2x-9}[/tex]
▲ our slope-intercept equation
Good luck with your studies.-- - - - - - - - - - - - - - - - - - - - - - - - -
You asked students the survey question: How many hours did you do homework last week? The responses were 3, 10, 5, 7, 4, 8, 3, 5, 4, and 2 hours. Which statement best represents the data?
1. Most of the friends who responded did homework for 5 or fewer hours last week.
2. Most of the friends who responded did homework for more than 8 hours last week.
3. Most of the friends who responded did homework for 6 or more hours last week.
4. Exactly half of the friends who responded did homework for fewer than 6 hours last week.
Answers
If you write it out in order of smallest number to largest number, you can count that only 3 people out of the ten total did over 5 hours of homework
what is the answer of 6x +3y?
Answers
Answer: 3*(2x+y)
Step-by-step explanation:
1. Adrian invests $10,000 in an account that increases by 8% each year. What is the balance in the account after 15 years?
Answers
Answer:
$162000
Step-by-step explanation:
8% of 10000
10000÷100=100×8=800
10000+800=10800
10800×15=162000
This is slightly urgent. Does anyone know how to cross multiply and divide 1/5 and 20/x? It would look like this if you need the equation.
1/5 * 20/x
Answers
Answer:
1/5 * 20/x. first do 1× x then do 5×20 and you will get 1x/100
Step-by-step explanation:
sorry this is all i know
28 In the diagram below of circle O, secant ABC and tangent AD are drawn.
If CA=12.5 and CB=4.5 determine and state the length of DA
Answers
The length of the side DA from secant theorem is; 10
How to find the length of a Tangent?
From the cyclic diagram attached;
Since CA = 12.5 and CB = 4.5, it means that;
BA = 12.5 - 4.5 = 8
From the secant theorem, we know that;
The product of the secant and its exterior segment is equal to the square of the tangent segment.
Thus;
Length of DA = √(8 * 12.5)
Length of DA = 10
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Find an integer x such that x, 56, 65 is a pythagorean triple
Answers
Answer:
x = 33
Step-by-step explanation:
The three numbers will be a Pythagorean triple if the sum of the squares of the first two is equal to the square of the third.
__
We want ...
x² +56² = 65²
x² = 65² -56² = 4225 -3136 = 1089
x = √1089 = 33
The value x = 33 will make (33, 56, 65) a Pythagorean triple.
You've got three circles in line with eachother. Radius = 4cm
Calculate the shaded area and give answer in pi.
Answers
The shaded area of the circles that are given will be 32π.
How to calculate area?It should be noted that the area of a circle is calculated by using:
= πr²
where r = 4
In this case, we have two shaded circles. The area will be:
= 2(πr²)
= 2(π × 4²)
= 2(16π)
= 32π
In conclusion, the area is 32π.
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A flower shop charged $124.44 for 3 bouquets of flowers. This price included a $7.50 service and delivery fee.
What was the cost of one bouquet?
Answers
Identify the growth factor for the following exponential function: y= 2.3(1.32)*
A. 2.3
B. 1.32
C. X
D 32%
Answers
is (125xy)a binomial or trinomial or monomial or polynomial
Answers
Answer:
monomial
Step-by-step explanation:
it is correct
Which conditional probabilities are correct? check all that apply. p(d | f) = startfraction 6 over 34 endfraction p(e | d) = startfraction 7 over 25 endfraction p(d | e) = startfraction 7 over 25 endfraction p(f | e) = startfraction 8 over 18 endfraction p(e | f) = startfraction 13 over 21 endfraction
Answers
The conditional probabilities that are correct are P(D | F) = 6/34, P(E | D) = 7/25 and P(F | E) = 8/18
How to determine the true conditional probabilities ?The formula to compute the conditional probability P(A|B) is:
P(A | B) = P(A and B)/P(B)
The above means that the probability of event A such that the event B has already occurred
When the above formula is applied to the give data in the complete, we have:
P(D | F) = 6/34
P(E | D) = 7/25
P(D | E) = 7/18
P(F | E) = 8/18
P(E | F) = 8/34
Hence, the conditional probabilities that are correct are P(D | F) = 6/34, P(E | D) = 7/25 and P(F | E) = 8/18
See attachment for complete question
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Answer: a,b,d
Step-by-step explanation:
trust
Help meee pleaseeeeeeee
Answers
Answer:
The answer to this question is letter choice E. 25%.
Step-by-step explanation:
Since 3/12 circles are shaded it would be the same as 25% or 1/4 if simplified.
!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.
A) 11.7
B) 3.8
C) 10.3
D) 5.5
Answers
C) 10.3
[tex]\bold{SOLUTION:}[/tex]
Answer:
C
Step-by-step explanation:
a^2 + b^2= c^2
3.9^2 +b^2=11^2
15.21+b^2= 121
b^2= 105.79
b= 10.28542
round to 10.3
PLS HELP
A bag that holds 9 oranges, 4 plums, and 7 apples. A fruit is drawn at random. What is the probability that it is NOT a plum.
Answers
Answer:
80%
Step-by-step explanation:
9 + 4 + 7 = 20
1 out of 20 = 5%
4 plums = 20%
Answer:
4/5 or 80%
Step-by-step explanation:
So u add up all the fruits which is 20. And then then u make a fraction which is all fruits but not plums over all fruits. So it is 16/20. The 16 came from not having the plums bc there are 4 plums and 20 - 4 = 16. Simplified of 16/20 is 4/5 or %80.
Evan also has a bag of apples that weighs 3.545 lb is the value of the 5 digit in the tenths place of 3.545 is how many times the value of the digit in the five in the thousands place
Answers
Answer:
Yes, it is in the tenth place, and it is 5 thousand is 10,000 times more than the 5 in the tenth place
Step-by-step explanation:
3 = ones place
.5 = tenths place
.04 = hundredths place
.005 = thousandth place
for the second question all you need to do it
5000 divided by .5 = 10000 (because they both have 5, don't try this if there are :example: 4 in the hundreds place to 3 in the one's place).
Answer:
The value of the 5 in the tenths place of 3.545 is 10 times the value of the 5 in the thousandths place
Step-by-step explanation:
i did the end of the year test for k12. good luck on your grade and i hope that this is right!
11. The exponential function given by H(t)=80,030.83(1.0481)t, where t is the number of years after 2010, can be used to project the number of centenarians in a certain country. Use this function to project the centenarian population in this country in 2013 and in 2038.
Answers
A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The exponential function that can be used to project the number of centenarians in a certain country is [tex]H(t) = 80,030.83(1.0481)^t[/tex].
Now, the number of centenarians in the country in 2013 is,
[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}[/tex]
Also, the number of centenarians in the country in 2038 is,
[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}[/tex]
Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
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