Answer:
A 50% increase followed by a 33/1/3% decrease. = ? (1 + 0.5)*(1 - 0.3333333) = 1.5 * 0.666667 = 1. Result is same as original.
A 50% increase followed by a 33 1/3% decrease is a net decrease of 16 2/3%.
Here is the explanation:
A 50% increase means that the value is multiplied by 1.5.
A 33 1/3% decrease means that the value is multiplied by 0.6666666666666666.
So, the net effect of the two changes is:
(1.5 × 0.6666666666666666) = 1 - (1/6) = 0.8333333333333334
This is a decrease of 16 2/3%.
For example, if you start with a value of 100, then a 50% increase followed by a 33 1/3% decrease will result in a final value of 83.33.
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The coordinates of the endpoints of the diameter of a circle are (3,7) and (-5,3). Find the coordinates of the center of the circle
Answer:
[tex](-1,5)[/tex]
Step-by-step explanation:
The definition of the diameter indicates it passes through the center of the circle to be called diameter. Therefore finding the midpoint of the line that is the diameter we will find the center of the circle.
To find the coordinates of this midpoint we must make an average of the 'x' values of the two given points, and also an average of the two given 'y' values.
the coordines of this midpoint will be [tex](x_{m},y_{m})[/tex] where [tex]x_{m}[/tex] is the average of the 'x' values, and [tex]y_{m}[/tex] is the average of the 'y' values
The points we have are:
[tex](3,7)[/tex]
where I will call the coordinates: [tex]x_{1}=3[/tex] and [tex]y_{1}=7[/tex]
[tex](-5,3)[/tex]
where I will call the coordinates: [tex]x_{2}=-5[/tex] and [tex]y_{2}=3[/tex]
the average of the 'x' values is:
[tex]x_{m}=\frac{x_{1}+x_{2}}{2}[/tex]
substituting the values:
[tex]x_{m}=\frac{3+(-5)}{2}\\ \\x_{m}=\frac{3-5}{2}\\ \\x_{m}=\frac{-2}{2}\\ \\x_{m}=-1[/tex]
the average of the 'y' values is:
[tex]y_{m}=\frac{y_{1}+y_{2}}{2}\\[/tex]
substituting the values:
[tex]y_{m}=\frac{7+3}{2}\\ \\y_{m}=\frac{10}{2}\\ \\y_{m}=5[/tex]
and the center of the circle (the midpoint of the diameter) is at:
[tex](x_{m},y_{m})[/tex]
which is
[tex](-1,5)[/tex]
What is the inverse of the function f(x)= 6x-5/x+9
Answer:
Inverse of -5-9x/x-6
Step-by-step explanation:
Steps:
1: Interchange the variables x and y.
x=6y-5/y+9
2: Solve x = 6y-5/y+9 for y
3: Multiply both sides by y+9
4: Simplify and Expand
5: Subtract 9x from both sides.
6: Simplify and Subtract y from both sides then Simplify again
7: Divide both sides by x-6
Answer: Inverse of -5-9x/x-6
Hope this helps.
Answer:
To find the inverse, interchange the variables and solve for
y .
f ^− 1 ( x ) = − 9 − x − √ (x ^2 − 18 x + 201 )) /(12 ) , (− 9 − x + √ (x ^2 − 18 x + 201)) / (12 )
Step-by-step explanation:
Find the distance between the pair of points . (-3,-6) and (-3, 1)
Answer:
7
Step-by-step explanation:
add 6 to -6 to get 0
than add 1 to 0 to get 1
6+1=7
For the 2009 Major League Baseball and National Football League seasons, based on average ticket prices, Three baseball tickets and two football tickets would have cost $229.90, while two baseball tickets and one football ticket would have cost $128.27. Define the variables Write a system of equations to represent this situation Solve the system to find out the price of each ticket sold. Prove and Explain how you know that your answer is correct. If a family of 5 would like to attend one game during the football season and one during the baseball season how much would it cost them. How much was the average price of a football game ticket last year to see the Giants, how about the average price of baseball ticket to see Yankees Play?
Answer:
just read through this document
The cost of a baseball ticket is $26.64 and the cost of a football ticket is $74.99.
If a family of 5 would like to attend one game during the football season and one during the baseball season,
The cost of a baseball ticket is $133.2 and the cost of a football ticket is $374.95.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
For the 2009 Major League Baseball and National Football League seasons, based on average ticket prices,
Three baseball tickets and two football tickets would have cost $229.90, while two baseball tickets and one football ticket would have cost $128.27.
Let x represents the cost of one baseball ticket and y represents the cost of a football ticket.
Then,
3x + 2y = 229.90
2x + y = 128.27.
The solution of the system of the equation is the intersection point of the line.
The solution = (26.64, 74.99)
The cost of a baseball ticket is $26.64 and the cost of a football ticket is $74.99.
If a family of 5 would like to attend one game during the football season and one during the baseball season,
the cost of a baseball ticket is $26.64x 5 = $133.2 and the cost of a football ticket is $74.99x5 = $374.95.
Therefore, all the required value is given above.
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11. Determine the type and number of solutions of x2 - 8x + 16 = 0.
O two imaginary solutions
one real solution and one imaginary solution
O one real solution
O two real solutions
Answer:
one real solution
Step-by-step explanation:
the equation simplified is (x+4)²
Option 3 (two real solutions) is the right answer.
What is a Quadratic equation and its solution?A quadratic equation in the variable x is an polynomial of degree 2 equation of the form ax²+bx+c = 0 where a, b, c are real numbers a≠0. For example, 2x²-3x+1 =0. And we say that x=α is an solution of a quadratic equation if α satisfies the equation and since its degree is two it will always have 2 solutions which may be real or Imaginary.
Given equation here is : x² -8x+16= 0
x²-2.4x+4²=0
(x-4)²=0
x=4,4
Hence, the quadratic equation has two equal and real solutions.
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A parallelogram has an area of 120 cm2. The base is 15 cm.
What is the height?
The value of height is 8 cm
Look at the attached picture
Hope it will help you
Answer:
formula is base x height = area
if we undo the multiplication and make the equation area / base = height we can find the height
120/15=8
8 is the height
hope this helps
Step-by-step explanation:
Silver has a density of 0.04 lb/cm^3. A standard silver bar has a volume of 642
cm^3. To the nearest pound, how much does 1 standard silver bar weigh?
Answer:
The weight of the mentioned silver bar is:
25.68 LbStep-by-step explanation:
Remember that the formula of density is:
Density = mass / volume.From this formula, you can clear the mass (because this is the valor you need to solve the exercise), so you will have:
Mass = density * volumeWith this last formula, you must replace the values given in the exercise:
Mass = density * volume Mass = 0.04 lb/cm^3 * 642 cm^3 Mass = 25.68 LbYou can check this value using the original formula of density and see if the density has the same valor of the exercise:
Density = mass / volume. Density = 25.68 Lb / 642 cm^3 Density = 0.04 Lb / cm^3* ANSWER PLEASE *
We have a circle with center A with an arc CB with a measure of 180°. What is the measure of angle D?
Answer:
90
Step-by-step explanation:
You can look at it from 2 perspectives:
1.The angle that is in front of a diameter is always 90°
OR
2. Central angle is twice any inscribed angle subtended by the same arc
Answer:
90 degrees
Step-by-step explanation:
Ellie compared 4/7 and 5/3 by first comparing each fraction to 1/2 and 1.
Step 1: 4/7 is less than 1 but more than 1/2
Step 2: 5/3 is more than 1
Step 3: so, 4/7 > 5/7
In which step did
Ellie make her first mistake?
Answer:
Step 3
Step-by-step explanation:
She made her first mistake in Step 3.
This is because 4/7 is actually less than 5/3.
Step 1 and 2 are mathematically accurate.
1/2 is less than 1.
So, since 4/7 is only greater than 1/2 and not greater than 1 as compared to 5/3 which is actually greater than 1, she should have concluded that 4/7 is less than 5/3.
Therefore, Step 3 contains the mistake.
Given that ZBCD and ZBCA form a straight angle, if ZABC measures 55
degrees and ZBCD measures 60 degrees, then the measure of ZBAC is
degrees.
Answer:
Angle BAC is 5 degrees.
Step-by-step explanation:
It's easiest if you just annotate you diagram as you find each angle. You can do this in lots of different ways, but this is how i got there.
So to find BAC, you need to find ABC and BCA. After you find these two, its just a matter of subtraction, which is simple.
We already know ABC = 55 degrees.
So now we have to find BCA:
1) They told us that BCD is 60 degrees and that its sitting on a straight line
2) From this we can find that BCA is 120 degrees, because a straight line is 180 degrees. 180 -60 = 120 degrees.
Now that we have both ABC and BCA, we can find BAC:
1) The angles of all triangles add up to 180 (idk why, its just how it is)
2) So, if we do 180 - BCA - ABC, we should get BAC
3) So, 180 - 55 - 120 = 5 degrees
Sorry if the explanation was really long, its a bit weird to explain it all in words. Hope it helped : )
When solving the equation 3x = 9, Daniel used a property of algebra and transformed the equation into x=3. Which property did he use?
A) Multiplication
B) Division
C) Addition
D) Subtraction
Answer:
B)Division
Step-by-step explanation:
3x=9
divide both side by 3 gives you
x=3
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
negative i took the test and got it right
Step-by-step explantrust me
gebra
Assignment
Active
Analyzing the Discriminant of a Quadratic Equation
Which values of o will cause the quadratic equation-x2 + 3x + c = 0 to have no real number solutions? Check all that
apply
I-5
- 2 /
1
no
Answer: The answer is 1, 2
Step-by-step explanation:
A line parallel to the___ has no defined slope, and a line parallel to the_____ has slope of zero.
1) X-axis. 2) x-axis
Y-axis
y-axis.
Answer:
A line parallel to the y-axis has no defined slope, and a line parallel to the x-axis has slope of zero.
Step-by-step explanation:
Lines parallel to the y-axis are vertical and are undefined as they don't technically have a gradient.
lines parallel to the x-axis are horizontal and have a gradient of 0 since there is no positive or negative angle, it's just straight.
Hope this helped :)
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 centimeters cubed. A sphere with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere? Centimeters cubed
Answer:
the answer is 32
Step-by-step explanation:
Answer:
I think the answer is 32 cm
(I'm so sorry if it's wrong)
Hope this Helps!
10. What is the formula used to
find the vertex of the parabola.
| (2 points)
Answer:
y=ax2+bx+c
Step-by-step explanation:
In this equation, the vertex of the parabola is the point (h,k) . You can see how this relates to the standard equation by multiplying it out: y=a(x−h)(x−h)+ky=ax2−2ahx+ah2+k .
In a survey of students, 60% were in high school and 40% were in middle school. Of the high school students, 30% had visited a foreign country
If a surveyed student is selected at random, what is the probability that the student is in high school and has visited a foreign country?
A. 12%
B. 18%
C. 24%
D. 30%
Answer:
18%
Step-by-step explanation:
60 percent are in high school, of those 60 percent, 30 percent visited a foreign country
P ( high school and foreign country) = 60% * 30 %
=.60*.30
.18
18%
A piecewise function f(x) is defined as shown. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x + 90, 2nd column 0 less-than-or-equal-to x less-than 40 2nd row 1st column negative three-eighths x + 75, 2nd column 40 less-than-or-equal-to x less-than-or-equal-to 200 EndLayout Which table could be used to graph a piece of the function? A 2-column table has 3 rows. The first column is labeled x with entries 0, 16, 40. The second column is labeled y with entries 90, 85, 75. A 2-column table has 3 rows. The first column is labeled x with entries 0, 40, 200. The second column is labeled y with entries 90, 40, 0. A 2-column table has 3 rows. The first column is labeled x with entries 40, 120, 200. The second column is labeled y with entries 75, 30, 0. A 2-column table has 3 rows. The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.
Answer:
A 2-column table has 3 rows. The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.
Step-by-step explanation:
All of the tables have x=40 in the first column. The function value there is ...
f(x) = (-3/8)(40) +75 = -15 +75 = 60
Only the last table has y = 60 for x = 40.
__
A check of the other points in that table shows they are all on the same (second) piece of the graph, as required by the problem statement. Those points are marked with a purple x in the attachment.
Answer:
it's D ON EDG his answer corret but not a it's d
Step-by-step exit planation:
You have bumped into the car in front of you. You are injured in the collision, resulting in $2,500 in medical expenses. Your policy provides only liability insurance, with a limit of $25,000, and your deductible is $500. How much will your insurance company pay toward these medical expenses?
a)$0
b)$500
c)$2,000
d)$2,500
Answer:
c
Step-by-step explanation:
2,500-500=2000
The diagram shows a square pyramid over a cube. What is the volume of the entire figure?
Answer: 810
Step-by-step explanation:
first lets take down the information we were given,
height (h) of the pyramid should be 12 - 9 = 3
base (a) = 9
So we calculate the volume of a square pyramid
V = a²h/3
V = (9² × 3) / 3
v = (81 × 3) / 3
V = 81
now we calculate the volume of the cube using the formula
V = a³
V = 9³
V = 729
NOW to get the volume of the entire figure
we say
volume of square pyramid + volume of cube
81 + 729 = 810
The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.
Answer:
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
[tex] \frac{ - 14}{5} + x = - 2 \\ x = - 2 + \frac{14}{5 } \\ x = \frac{ - 10 + 14}{5} \\ \: x = \frac{4}{5} \\ therefore \: the \: other \: number \: is \: \frac{4}{5} [/tex]
Answer:
4/5
Step-by-step explanation:
x+(-14/5)= -2
x= 14/5 - 2
x= (14-10)/5
x= 4/5
How do I factor the polynomial -22d²+ 29d-9?
Answer: (11d-9) x (-2d + 1)
Step-by-step explanation:
22d^2 - 18d + 11d-9
-2d(11d-9) + 11d -9
Part A
Tom, wants to buy a dictionary that costs $19.50
, a dinosaur book that costs $8.50
, and a children's cookbook that costs $5.50
.
Find the total cost of the dictionary, the dinosaur book, and the cookbook.
Answer: $
Part B
If he has saved $9
from his allowance, how much more money does Tom need to buy all three books?
Answer:
part a: $33.50
part b: $24.50
Step-by-step explanation:
add up all of the costs of the books so 19.50 + 8.50 + 5.50 = $33.50
next just subtract 9 dollars from 33.50 so 33.50 - 9 = $24.5 more he needs.
Does the function f(x) = 2 e-*represent exponential growth, decay, or neither?
O A) Impossible to determine with the information given.
B) Neither
OC) Exponential growth
OD) Exponential decay
Answer:
Exponential Decay
Step-by-step explanation:
An exponential growth function has a postive integer and a Exponetniaal decay function has a negative integer
Under which angle conditions could a triangle exist? Check all that apply.
3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle
O
Answer:
3 acute angles.
2 acute angles, 1 right angle.
2 acute angles, 1 obtuse angle.
Step-by-step explanation:
The 3 angles in a triangles add up to 180 degrees.
Acute angles are < 90 degrees.
A right angle = 90 degrees,
Obtuse angles are > 90 degrees.
Answer:
3 acute angles
2 acute angles, 1 right angle
2 acute angles, 1 obtuse angle
Or 1, 2 , 5
Step-by-step explanation:
NEED ASAP WILL MARK BRAINLIEST !!
Answer:
the second answer
Step-by-step explanation:
V of a half cup
V = ½ πr² h
V = ½ 3.14 2² . 8
V = 50,24 in³ ≈ 50,3
What is the solution to the system of linear equations graphed below?
On a coordinate plane, 2 lines intersect at (0.5, 4).
(0, 4)
(4, one-half)
(one-half, 4)
(0, 3)
Answer:
The answer is (1/2,4)
Step-by-step explanation:
I just did it in Engenuity
Hope it helps
Answer:
(1/2,4)
Step-by-step explanation:
took the quiz
Solve the equation below for x.
4(2x +8) - 3x = 47
1.
X= 13
2.
X= 2
3.
X= 3
4.
X= 7.8
Answer:
x=3
Step-by-step explanation:
4(2x +8) - 3x = 47
Distribute 4
8x + 32 -3x = 47
Combine like terms
5x + 32 = 47
Subtract 32
5x = 15
x= 3
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
41
40 cm
The surface area is
cm2
Step-by-step explanation: first you just do the triangle bhx1/2 then the three rectangles bh
Which equation correctly represents the distance between −15.1 and −3.9 on a number line?
a |−3.9−(−15.1)|=11.2
b −15.1−3.9=−19
c |−15.2+(−3.9)|=19
d −3.9−15.1=−11.2
which on is it
Answer: The correct answer is A
