Answer:
Decrease of 4% ($4).
Step-by-step explanation:
Suppose the initial price was $100. An increase of 20% will make the price $120.
Now we decrease it 20% which brings it to 120 - 0.20 * 120
= 120 - 24
= $96.
So that's an overall decrease of $4 or 4%.
Which set of angle measures could be the interior angles of a triangle? Explain why 1) 90°, 90°,90° 2)80°,80°,200° 3)40°,50°,60° 4)15°,30°,135°
Answer: option 4) 15°, 30°, 135°
Step-by-step explanation: because the triangle angle rule says that all the intererior angles of the triangle sum upto 180° always
Answer:
4) 15°,30°,135°
Step-by-step explanation:
The interior angles of a triangle will add up to 180°, so we have to choose an answer choice with angles that all add up to 180.
Answer #4 is correct because 15 + 30 + 135 = 180.
20 POINTS!!! On the following graph F(-5)=?
Answer:
7
Step-by-step explanation:
Trae is searching for a treasure on the beach. From point $A$, he is told to walk two meters north, three meters east, and then two meters north to point $B$. In meters, what is the length of $\overline{AB}$?
Answer:A triangle ABC with positive integer side lengths has perimeter 35, centroid G, and incenter I. If ∠GIC=90∘, what is the length of AB¯¯¯¯¯¯¯¯?
We use barycentric coordinates with reference triangle △ABC. Letting k=a+b+c, we have the displacement vectors GI→=(13−ak,13−bk,13−ck) and IC→=(ak,bk,ck−1). EFFT gives us
a2(4b+c3k−13−2bck2)+b2(4a+c3k−13−2ack2)+c2(a+b3k−2abk2)=0
. Multiplying by 3k2, writing k=a+b+c, and expanding out, the equation turns into
a2((a+b+c)(3b−a)−6bc)+b2((a+b+c)(3a−b)−6ac)+c2((a+b)(a+b+c)−6ab)=0.
Expanding further and factoring an a+b+c out, we have
(a+b+c)((a+b)(4ab−a2−b2+c2)−6abc)=0.
Notice that when c=a+b the term (a+b)(4ab−a2−b2+c2)−6abc) vanishes, so we factor further to obtain
(a+b+c)(c−a−b)(a2+b2+c(a+b)−4ab)=0⟹a2+b2+c(a+b)−4ab=0⟹(a+b)2+c(a+b)=6ab⟹35(35−c)=6ab.
From the triangle inequality, we have c≤17 and we also know 6|35−c; it's now easy to find a triple (a,b,c)=(10,14,11) satisfying the equation above, and the answer is 11.
Hope this helps......
I've got no clue how to do this.
Answer:
×-10×+21=0
FACTORIZATION of splitting the middle term
Solve for x 4x−2=3x+4
Answer:
x=6
Step-by-step explanation:
Answer:
x = 6
hope this helps!
true or false:
If ab>0 then a>0 and b>0.
Answer:
false
Step-by-step explanation:
because a<0 and b<0 then ab>0
Answer:
False
Step-by-step explanation:
You don't know what a or b is for example it could be a=-3 b=-4. In that case ab= 12 but a and b indavidually are less than zero making this statment false
PLEASE HELP ME IM BEGGING IM REALLY STRUGGLING
Answer:
I hope it will help you.....
Answer:
The solution is the triplet: (a, b, c) = (-3, 0, 0)
Step-by-step explanation:
Let's start with the second equation, and solving for "a":
a - b = -3
a = b - 3
Now replace this expression for a in the third equation:
2 a + b = -6
2 (b - 3) +b = -6
2 b - 6 +b = -6
3 b = -6 +6
3 b = 0
b = 0
So if b = 0 then a = 0 - 3 = -3
now we can replace a= -3, and b = 0 in the first equation and solve for c:
2 a - b + c = -6
2 ( -3) - 0 + c = -6
-6+ c = -6
c = -6 + 6
c = 0
Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)
If f(x)=x and g(x) =2, what is (f•g)(x)
Answer:
c
Step-by-step explanation:
5x + y = 2
2x-3y = 62
Hey there! :)
Answer:
x = 4, y = -18 or (4, -18).
Step-by-step explanation:
Given:
5x + y = 2
2x - 3y = 62
We can use substitution to solve this problem. Rearrange the first equation in terms of y:
5x + y = 2 ---> y = -5x + 2
Substitute in this equation for y into the second equation:
2x - 3(-5x + 2) = 62
Distribute -3:
2x + 15x - 6 = 62
Combine like terms:
17x - 6 = 62
Add 6 to both sides:
17x = 68
Divide both sides by 17:
x = 4.
Plug in this value for x into an equation to solve for y:
5(4) + y = 2
20 + y = 2
y = -18.
Therefore, the solutions to this system of equations are:
x = 4, y = -18 or (4, -18).
Christine had a six sided dice numbered from 1 to 6. she rolled it a total of 50 times. it landed on a odd number 21 times. ( A ) work out the relative frequency of the dice landing on an odd number. give you answer as a decimal. ( B ) if the dice were fair what would the theoretical probability of it landing on a odd number be give your answer as a decimal. ( C ) is the dice definitely biased or is it impossible to tell write a sentence to explain your answer get brainly plz help
A) Relative frequency is number of times an event happened over total number of events:
Answer is 21/50 = 0.42
B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50
C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.
Find the equation of the line through point (−7,2) and parallel to y=25x−12. Use a forward slash (i.e. "/") for fractions (e.g. 1/2.
parallel line so gradient stays the same at 25x
y=25x+c
substitute in the point
-7= 25(2) +c
-7 = 50 + c
(-7)-50= -57
y=25x-57
hope this helps!
The equation of the line in slope intercept form is y = 25x + 177.
What is equation of a line?The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The equation is y = 25x−12 -------- (1)
The point is (−7,2)
The general form of equation of line in slope intercept form is
[tex]y=mx+c[/tex]
On comparing this equation with equation, we get
slope, m = 25
The given line is parallel to the equation of line, so slope is same.
The line passes through the point (x1, y1) is (−7,2).
Thus the equation of line in slope intercept form is
[tex]y-y1=m(x-x1)[/tex]
⇒ [tex]y-2=25(x-(-7))[/tex]
⇒ [tex]y-2=25(x+7)[/tex]
⇒ [tex]y-2=25x+175[/tex]
⇒ [tex]y=25x+175+2[/tex]
⇒ [tex]y=25x+177[/tex]
Hence we can conclude that the equation of the line in slope intercept form is y = 25x + 177.
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Hello i need some help
Answer:
y = 2x - 1
Step-by-step explanation:
(3, 5) (5, 9)
slope = (9-5)/(5-3) = 4/2 = 2
y = mx + b
5 = 2(3) + b
-1 = b
y = 2x -1
Answer:
f(x)=2x-1; y=2x-1
Step-by-step explanation:
First we need to find the slope and to do so you use the equation [tex]\frac{y_{1} -y_{2}}{x_{1}-x_{2}}[/tex] .
Plugging in for the values we get (9-5)/(5-3)=4/2=2, which means we have a slope of 2.
Now we just have to find the y-intercept, and to do this we multiply the x-value by the slope (2) and see what we have to add to that to get the y-value.
For example, 5*2=10, 10-1=9, so -1 is our y-intercept.
This means our equation in slope-intercept form is y=2x-1 and in function form is f(x)=2x-1
Monica bought a car for $x 3 years ago. Due to an inflation rate of 6% p.a. this car is now worth Mexican peso 50,000. Calculate the cat's original purchase price
Answer:
its 60198.6
Step-by-step explanation:
use the formula present price=orginal price(1-rate/100)^years
Which statement is true
Answer:
C
Step-by-step explanation:
in order of containment it goes
Quadrilaterals
Parallelograms and trapezoids
kites rhombuses and rectangles
squares
Answer:
Hey there!
All parallelograms are four sided shapes, also called quadrilaterals.
Hope this helps :)
PLSSS answer ASAPP plss which statement is true regarding the graphed functions ?
f(0) = 2 and g(-2) = 0
f(0) = 4 and 9(-2) - 4
f(2)= 0 and g(-2) = 0
f(-2) = 0 and g(-2) = 0
Answer:
f(2)= 0 and g(-2) = 0 is the answer
Step-by-step explanation:
if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y
f(x)=(2) and once again y=0
so the third option is the answer if im seeing this correctly.
f(2)=0 and g(-2)=0
If a family threw away 2.4 Kg of aluminum in a month, how many cans did they throw away?
Answer:
150 cans
Step-by-step explanation:
y
10
1
B(7,9)
Create a rectangle around the parallelogram. The
dimensions of this rectangle are
Find the area of the four right triangles surrounding the
parallelogram. The total area of the triangles is
square units
Subtract the triangle areas from the area of the
rectangle to obtain the area of the parallelogram. The
area of parallelogram ABCD is square units.
6
2
-10
6
-6
A-3,-1)
-2
10
C(8, -1)
D(-2,-11)
Answer:
rectangle: 11 × 20triangle area: 110 u²parallelogram area: 110 u²Step-by-step explanation:
See below for a graph showing the parallelogram and the rectangle.
The dimensions of the rectangle are 11 by 20. The rectangle area is ...
rectangle area = bh = (11)(20) = 220 . . . square units
There are 2 right triangles with a base of 10 and a height of 1. There are 2 right triangles with a base of 10 and a height of 10. The total area of the triangles is ...
triangle area = 2(1/2)(10)(1) +2(1/2)(10)(10) = 10(1 +10) = 110 . . . square units
The area of the parallelogram is the difference of these, ...
parallelogram area = rectangle area - triangle area
= (220 units²) -(110 units²) = 110 units²
The area of parallelogram ABCD is 110 square units.
_____
Check
The parallelogram has a base of 10√2 and a height of 5.5√2, so an area of (10√2)(5.5√2) = 110 square units. This matches the above result.
Answer:
1) 11 by 20 2) 110 3) 110 correct on edg
Step-by-step explanation:
Create a rectangle around the parallelogram. The dimensions of this rectangle are
11 by 20
Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is
110 square units.
Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is
110 square units.
..............................................
Answer:
h = 40°
Step-by-step explanation:
These 2 angles are congruent due to the Corresponding Angles Theorem.
Answer:
40°
Step-by-step explanation:
The lines are parallel. We know this because of the 2 arrows that are on the lines, indicating they are parallel.
Therefore, the 2 angles are congruent by the Corresponding Angle Theorem.
So, we can set the 2 angles equal to each other.
40=h
Therefore, angle h is 40 degrees.
PLEASE HELP QUICK!!!Dante wrote several equations and determined that only one of the equations has infinitely many solutions. Which of these equations has infinitely many solutions?
Answer:
I think its D?
Hope this helped!
An insurance company is trying to determine the number of phone calls made weekly while driving. Which best describes the population?
Answer: Taking a poll of how many calls someone took anonymously and randomly choose 100 people
Step-by-step explanation:
Answer:
licensed drivers who own cell phones
Step-by-step explanation:
licensed drivers who own cell phones
Angle lies in quadrant 4. Without using a calculator, determine which ratio is valid.
1) sin =0.789
2) tan =0.573
3) sin =-1.083
4)tan = 0.841
None of the ratios is valid implies no angle lies in quadrant 4.
Angles lie in quadrant 4. Without using a calculator, it is to determine which ratio is valid from the following 1) sin =0.789, 2) tan =0.573, 3) sin =-1.083 and 4) tan = 0.841.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Since in 4th quadrat only values of cos are positive other else operators tend to give negative value so,
1 ) sin = 0.789, here ratio is positive so it does not lies in quadrant 4.
2) tan = 0.573, it is also positive so it does not lies in quadrant 4.
3) sin = -1.083 this ratio is not possible because sin lies between (-1 to +1).
4) tan =0.841, it is also positive so it does not lie in quadrant 4.
Thus, None of the ratios is valid implies no angle lies in quadrant 4.
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I’m really not sure what the answer to this question is, can anyone help?
Answer:
25(sqrt(2)+1)
Some explanation:
The exact form is 25*sqrt(2) + 25.
If we divide by 25, we are left with sqrt(2) + 1.
So 25(sqrt(2) + 1) is the correct answer.
Hope that helps a little!
Forest fires are most likely to occur when the air temperature (t) is greater than 60°F.
Write an inequality for the situation.
please help me asap!!!!!!!!!!!!!!!!!!!!!!!!!
The temperature (t) needs to be greater than 60
So you would have t > 60
Answer:
t > 60
Explanation:
In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'
Read the following quote from the problem...
"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."
Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.
Now, let's find out what symbol we will use to compare the terms.
Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.
Finally, use all the facts we have established to write the inequality.
· t = air temperature
· > = greater than
· 60 = max temp. before forest fire occurs
Therefore, the inequality for the solution is t > 60.
Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. His data are shown in the table.
Years Since Tree was Planted vs. Height of Tree
Years since tree was planted, x
Height of tree in feet, y
2
17
3
25
5
42
6
47
7
54
9
69
Using a regression calculator, what is a good prediction for the height of the tree when it is 100 years old?
A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 2, 3, 5, 6, 7, 9. Column 2 is labeled y with entries 17, 25, 42, 47, 54, 69. The regression equation is y almost-equals 7.36 x + 3.08; r almost-equals 0.998.
A good prediction for the height of the tree when it is 100 years old is about 315 feet because that is what the trend line, y almost-equals 3.08 x + 7.36, produced by the regression calculator predicts.
A good prediction for the height of the tree when it is 100 years old is about 739 feet because that is what the trend line, y almost-equals 7.36 x + 3.08, produced by the regression calculator predicts.
There is not a good prediction for the height of the tree when it is 100 years old because the trend line produced by the regression calculator does not give a prediction.
There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Step-by-step explanation:
Years since tree was planted (x) - - - - height (y)
2 - - - - 17
3 - - - - 25
5 - - - 42
6 - - - - 47
7 - - - 54
9 - - - 69
Using a regression calculator :
The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08
With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.
X is the independent variable which is used in calculating the value of y.
Predicted height when years since tree was planted(x) = 100
ŷ = 7.36X + 3.08
ŷ = 7.36(100) + 3.08
y = 736 + 3.08
y = 739.08
Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.
Answer:
D
Step-by-step explanation:
There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Having some problems with this
Answer: C) 5
Step-by-step explanation:
First let's distribute the left side of the equation.
2/3a - 9 1/3 = -3(a-3)
Then let's distribute the right side of the equation.
2/3a - 9 1/3 = -3a + 9
Then let's move all the a's to one side, and all the constants to the other.
3 2/3a = 18 1/3
Then divide both sides of the equation by 3 2/3.
a = 5
Hope it helps <3
Please help me solve this question with working steps,thanks!!
Answer:
x = 20%
Step-by-step explanation:
The area is the product of side lengths. If the original side is "a", then the one increased by 25% is ...
a + 0.25·a = 1.25a
The one decreased by x is ...
a -x·a = a(1 -x)
We want the area of the square to be the same as that of the rectangle, so we write an equation that says that, then solve for x.
square area = rectangle area
a^2 = (1.25a)(a)(1-x)
1 = 1.25 -1.25x . . . . divide by a^2, eliminate parentheses
1.25x = 0.25 . . . . . add 1.25x -1
x = 0.25/1.25 = 0.20
x = 20% . . . . . . expressed as a percentage
Khairul agrees to lay a road 3000m long in 30 days. He employs 50 men,who works for 8 hours a day .After 20 working days, he finds that only 1200 m of the road is completed. Each man now works for 10 hours a day and they have to finish the project in 10 days' time. So , Khairul decides to employ more men to work on the project. How many more men are to be employed to finish the work on time?
Answer:
10 more men
Step-by-step explanation:
1.5 road made per man
One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
x= -25 or x = 10
x = -25, x = 1, or x = 10
x = -10 or x = 5
x = -10, x=-5, or x = 5
Answer:
-10
-5
5
Step-by-step explanation:
From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250
The Remainder Theorem is going to take a bit to solve.
You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.
The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.
However just to get the roots, the graph shows that
x = -10
x = - 5
x = 5
The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give
f((10) = 10^3 + 10*10^2 - 25*10 - 250
f(10) = 1000 + 1000 - 250 - 250
f(10) = 2000 - 500
f(10) = 1500 which is not 0.
==================
f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250
f(1) = 1 + 10 - 25 - 250
f(1) = -264 which again is not zero
Answer:
yes its true
Step-by-step explanation:
just took the test
An archeologist in Turkey discovers a spear head that contains 27% of its original amount of C-14
Answer:
it is 13093 i got it correct
please help me solve
Answer:
cD /100
Step-by-step explanation:
Change the percent to a fraction
c% = c/100
Multiply by the sale
D * c/100
cD /100