Answer:
Explained and Given Below.Explanation:
C ∝ √y
C = k√y
If C = 12.8, y = 16
12.8 = k√16
12.8 = k(4)
k = 3.2
So the expression:
C = 3.2√y
solve for C when y = 400
C = 3.2(√400)
C = 3.2(20)
C = 64
The expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.
What is directly proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
C is directly proportional to the square root of y. Thus, the relation can be represented with the proportionality sign as,
[tex]C\propto \sqrt{y}[/tex]
Let k is the proportionality constant. Thus, the equation can be rewritten as,
[tex]C=k \sqrt{y}[/tex]
Here, the value of C is 12.8 and the value of y is 16. Put these values in the above equation as,
[tex]12.8=k \times\sqrt{16}\\12.8=k \times4\\k=\dfrac{12.8}{4}\\k=3.2[/tex]
Thus, the value of constant is 3.2.
(a) Express C in terms of y.The value of constant is 3.2. Thus, the expression for C in terms of y is given as,
[tex]C=3.2\sqrt{y}[/tex]
(b) Find C when y = 400Put the value of y =400 in the above expression.
[tex]C=3.2\sqrt{400}\\C=3.2\times20\\C=64[/tex]
Thus, the expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.
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These tables represent a quadratic function with a vertex at (0, -1). What is the average rate of change for the interval from x = 9 to x = 10?
A. -19
B. -2
C. -101
D. -82
Answer:
B.–2Step-by-step explanation:
HOPE IT'S HELP THANK YOU FOR THE REST OF YOUR LIFEwhat is the answer to the problem
Answer:
[tex] \sqrt{63} = 7.9[/tex]
So between 7 and 8
given that (-2,-2) is on the graph of f(x), find the corrisponding point for the function f(x)+5
Answer:
(-2, 3)
Step-by-step explanation:
The +5 represents shifting 5 units up, so we can add 5 to the y coordinate.
This gives us (-2, -2+5)=(-2, 3)
What is the value of p?
Answer:
p = 12 °
Step-by-step explanation:
p + ( p + 6 ) = p + 41
2p + p = 41 - 6
3p = 35
3p/3 = 35/3
p = 11.6
p = 12 °
By rounding to one significant figure, estimate the answers to these questions, a) 59 + 25 b) 682 71 c) 91 x 18 58
The Answers are
Step-by-step explanation:
a) 59÷25 =2.36
b) 682/71 =9.6056
c) 91×18/58 =28.24
please mark brainliest!
Mark bought a jewelry box in the shape of a cube. The jewelry box has edge lengths of 6 inches. What is the surface area of the jewelry box?
Answer:
6*6*6=216
Step-by-step explanation:
To find length you use length*width*height
Since it is a cube are the side are equal to 6
To solve you can do 6*6*6 or 6^3 to get you to your answer which is 216
1.5.5 Practice: Modeling: Best Ticket Deal
Mathematics || Sem 1
Points Possible: 20
Does anybody have this?
The best ticket deal are illustrations of linear equations
The ticket system is a better deal to the max ticket
How to determine the best ticket dealFrom the complete question, we have the following summary:
Ticket SystemCharges = $22 per person
Surcharge = $10 per transaction
Max TicketsCharges = $20 per person
Surcharge = $16 per transaction
Assume there would be only one transaction, the linear equations that represent the ticket deals are:
Ticket System: y = 22x + 10
Max Ticket: y = 20x + 16
The costs of ticket for two people in both deals are:
Ticket System: y = 22*2 + 10 = 54
Max Ticket: y = 20*2 + 16 = 56
By comparison;
54 is less than 56
This means that the ticket system is a better deal to the max ticket
Read more about linear equations at:
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Explain what the point (5, 7.5) represents in this situation.
Answer:
what situation
Step-by-step explanation:
Calculate the average rate of change for the function
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2(x-2)^2+1\qquad \begin{cases} x_1=-2\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-2)}{4-(-2)} \\\\\\ \cfrac{[2(4-2)^2+1]~~ - ~~[2(-2-2)^2+1]}{4+2}\implies \cfrac{[9]~~ - ~~[33]}{6}\implies \cfrac{-24}{6}\implies -4[/tex]
15 divided by 6 = 2 with a ? Of 3
15 divided 6 is 2.5. So you have an extra '0.5' to the 2
Hope that helps!
3RD ATTEMPT!!! REAL ANSWERS ONLY!!!
Draw u + v + w.
Answer:
See pic below
Step-by-step explanation:
Use a method of graphic vector addition.
See the picture below.
Consider this equation,
cos(0) = 4/41
If 0 is an angle in quadrant IV, what is the value of sin(0)
take a peek at your Unit Circle, let's notice that in Quadrant IV the cosine is positive and the sine is negative, or namely the adjacent side is positive and the opposite side is negative, so hmmm
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{4}}{\underset{hypotenuse}{41}}\qquad \impliedby \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]
[tex]\pm\sqrt{41^2-4^2}=b\implies \pm\sqrt{1665}=b\implies \pm 3\sqrt{185}=b\implies \stackrel{IV~Quadrant}{-3\sqrt{185}=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill sin(\theta )=\cfrac{\stackrel{opposite}{-3\sqrt{185}}}{\underset{hypotenuse}{41}}~\hfill[/tex]
Subtract the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x. Subtract 2x2 - 6x - 4 from 4x2 - 4x + 3.
Answer:
2X²+2X+7
Step-by-step explanation:
(4X²-4X+3) – (2X²-6X-4) = 4X² – 4X + 3 –2X² + 6X +4
=2X² + 6X +7
If you place a 32-foot ladder against the top of a 23-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
22.2 feet
Step-by-step explanation:
Treat the ladder, building, and the ground between the bottom of the ladder and the building as the legs of a right triangle.
Then, you can use the Pythagorean Theorem.
X^2 + Y^2 = Z^2
The ladder is the "diagonal" side, so it is the hypotenuse, Z.
It doesn't particularly matter whether the building is X or Y; the end result will be the same.
Therefore:
(23)^2 + Y^2 = (32)^2
Y^2 = (1024 - 529) = 495
Y = 22.249; rounded to the nearest tenth, 22.2 feet
I hope this helped! :)
how do you graph the solution of an inequality?
Answer:
1. rearrange the equation and transform it into y=mx+b format.
2. Plot y-intercept on the graph for one the equations
3. Graph second equation by using b, or y-intercept
4. Shade above or below the graph, depending on what inequality symbol is used to represent each equation.
Step-by-step explanation:
In the answer above, hope it helps!
Have a great day :)
Determine the largest integer value of x x in the solution of the following inequality. 5x+6< 19
Answer:
2
Step-by-step explanation:
First, let's solve the inequality.
Step 1: Subtract 6 from both sides.
[tex]5x+6-6 < 19-6[/tex] [tex]5x < 13[/tex]Step 2: Divide both sides by 5.
[tex]5x/5 < 13/5[/tex] [tex]x < 2.6[/tex]Now that we know x has to be less than 2.6, we can easily assume the largest integer value that satisfies the inequality is when x = 2
Please help me with this question.
Answer: 1.479
Step-by-step explanation:
Use the distance formula to classify each triangle as Scalene, Isosceles, or Equilateral.
△ABC with vertices A (-2,-2), B (4,3), C (3,4)
Please show how to solve
Answer:
3 because we'll I don't know
Convert 8/20
to a decimal.
Which values are written in proper scientific notation? Check all that apply. –350 –350. 00 –3. 50 × 104 0. 000350 3. 50 × 104 3. 50 × 10–4 35. 0 × 10–5 3,500.
Values which are written in proper scientific notation are:
[tex]-3.5*10^4\\3.5*10^4\\3.5*10^-4[/tex]
What is scientific notation?
A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.
The given numbers are
[tex]1)-350\\2)-3.5*10^4\\3)0.000350\\4)3.5*10^4\\5)3.5*10^-4\\6)35*10^-5\\7)3500[/tex]
As we can see that every number except first, third, sixth and seventh number has been written according to the definition of scientific notation mentioned above.
Therefore, values which are written in proper scientific notation are:
[tex]-3.5*10^4\\3.5*10^4\\3.5*10^-4[/tex]
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Suppose a researcher is conducting a public-opinion poll for a politician during an election. The politician cares about getting an accurate response but isn't inclined to pay more than she needs to so long as the margin of error is less than 4%. How big of a sample size should the researcher aim to get
Determine whether y=−6x represents an exponential function
Answer:
No
Step-by-step explanation:
this is a linear function. the general shape of a exponential function is : y = ax^b + c
When finding the margin of error for the mean of a normally distributed population from a sample, what is alpha, assuming a confidence level of 74%? 0.13 0.26 0.74 0.87
The margin of error when the confidence level of 74% is 0.26. Then the correct option is B.
What is the margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
The mean of a normally distributed population from a sample.
The confidence level of 74%.
Then the margin of error is given as
Margin of error = 1 – α
Margin of error = 1 – 0.74
Margin of error = 0.26
The margin of error when the confidence level of 74% is 0.26. Then the correct option is B.
More about the margin of error link is given below.
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Answer:
0.26 or B
Step-by-step explanation:
3. Considering the following two-way frequency table:
What percentage of students picked math as their favorite subject?
41%
59%
18%
100%
Answer:
41%
Step-by-step explanation:
It is 41% because it says 0.41 people like math and converting decimals to percents it would be 41% because 0.41 is decimal form for 41%
But don't forget to add my vote for favorite subject is ma ma ama ma ma ma ma ma ma ma ma math.
Hope it helps have a great afternoon:)
On a piece of paper, use a protractor to construct a triangle with angle measures of 60° and 80°
Which statements about this triangle are true?
Select all correct answers.
All sides have different lengths.
The third angle measures 100°
The third angle measures 40°.
It is an acute triangle.
Two sides have the same length
It is an obtuse triangle
Answer:
Step-by-step explanation:
The correct statements about the given triangle are : All sides have different lengths, The third angle measures 40°, It is an acute triangle.
What is a triangle?A polygon with three vertices, angles and sides is called a triangle.
Given is a triangle with angle measures of 60° and 80°,
We need to choose the correct statement from the given options,
Calculating the 3rd angle, let its measure be x,
60° + 80° + x = 180°
x = 40°
Since, all the angles are different therefore, the sides will also be different,
Also, all the angles are less than 90°, therefore, the triangle is an acute triangle,
Hence, the correct statements about the given triangle are : All sides have different lengths, The third angle measures 40°, It is an acute triangle.
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find the quadratic equation given that the roots are 4 and 7
Answer: {−4,7} is y=x2−3x−28 y = x 2 - 3 x - 28 .
Step-by-step explanation: so all ways do y and x first
The age of the father is 42 and the age of the son is 9. At what age, will the father be twice old as the son?
(Solve by equation system.)
Answer:
24
Step-by-step explanation:
42 + x = 2 (9 +x) (solve for x)
42 + x = 18 + 2x
42 -18 = 2x -x
24 = x
42 + 24 = 66
9 + 24 = 33
When the man turns 66, his son will be 33, or half his age.
please anyone don't delete my question I really need this
Answer:
B.
We know that angle 1 has a measure of 55 degrees
That means angle 2 is 125 degrees
This is because the two angles have to have a sum of 180
So, angle 3 is 55
Angle 4 is 125
Angle 5 is 55
Angle 6 is 125
Angle 7 is 55
Angle 8 is 125
C.
1: False - Skew lines are an example of lines that do not intersect but are not parallel
2: True - Skew lines are in 3-dimensional geometry and do not intersect. They are not parallel, though.
3: False - Perpendicular lines are lines that intersect to form a 90-degree angle
4: True - Parallel lines lie in a plane together but never intersect
5: True - Parallel lines are coplanar, meaning they coexist on one plane
7124 divided by 26, please help I’ll give brainliest and pleas with the long division
Answer:
274Step-by-step calculations:
7124 ÷ 26 = 274
~Refer to attachment for work~
Learn more:
Learn the steps for long division: https://brainly.com/question/9470426Learn the definition of long division: https://brainly.com/question/1974422Answer: 274
Step-by-step explanation: Instead of saying 26 divided by 7 equals 3.714, you could just use the division symbol, which is a slash, as we did above.
Mr Asiedu earns an annual salary of GH6000.00. His total allowances is GH2000.00.How much tax does he pay if the rate of tax is 15%
Answer:
GH 1200
Step-by-step explanation:
Salary = GH6000
Allowances= GH2000
Taxable income = (Salary + Allowances)
Taxable income = GH6000 + GH2000
=GH8000
Tax rate = 15%
Tax = GH8000 X 15/100
= GH 1,200