Answer:
See the attachment below.
Step-by-step explanation:
Best Regards!
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 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.
Question options:
A.)7
B.)503
C.)6
D.)5
Answer:
x=6
Step-by-step explanation:
We can use ratios to determine the value of x
x 9
------ = ----------
10 15
Using cross products
15x = 9*10
15x = 90
Divide each side by 15
15x/15 =90/15
x = 6
Answer:
6.
Step-by-step explanation:
Triangles PQR and P'Q'R' are similar.
By similar triangles, the corresponding sides are in the same ratio
x / 10 = 9/15
15x = 90
x = 6.
Which table can be created using the equation below? –2 + 4x = y A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 22, negative 2, 10. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 22, negative 2, 10. Column 2 is labeled y with entries negative 5, 0, 3. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 18, negative 2, 10. Column 2 is labeled y with entries negative 5, 0, 3.
The correct answer is C. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10.
Explanation:
The purpose of an equation is to show the equivalence between two mathematical expressions. This implies in the equation "–2 + 4x = y" the value of y should always be the same that -2 + 4x. Additionally, if a table is created with different values of x and y the equivalence should always be true. This occurs only in the third option.
x y
5 -18
0 -2
3 10
First row:
-2 + 4 (5) = y (5 is the value of x which is first multyply by 4)
-2 + 20 = -18 (value of y in the table)
Second row:
-2 + 4 (0) y
-2 + 0 = -2
Third row:
-2 + 4 (3) = y
-2 + 12 = 10
Answer:
it is c
Step-by-step explanation:
7. The Quotient
The quotient of a number divided by five is the same as the number decreased by 400.
Answer:
The number is 500Step-by-step explanation:
Let the number be x
The quotient of a number divided by five is written as
[tex] \frac{x}{5} [/tex]
the number decreased by 400 is written as
x - 400
Equate the two expressions
We have
[tex] \frac{x}{5} = x - 400[/tex]
Multiply through by 5
That's
x = 5x - 2000
x - 5x = - 2000
- 4x = - 2000
Divide both sides by - 4
x = 500
Hope this helps you
Answer:
20
Step-by-step explanation:
they are asking you what divided by 100 is 5 and the answer is 20.
Which of the following options have the same value as 25, percent of 64
Answer:
a
Step-by-step explanation:
Which point is not a solution to the system of inequalities?
Thank you:)))
Answer:
(4, -1) is not a solution to the system
Step-by-step explanation:
The first point: (4,-1) doesn't satisfy the first inequality:
[tex]y>x-5\\(-1) > 4-5\\-1>-1[/tex]
since we get to an absurd, because -1 cannot be strictly smaller than -1!
i promise i will mark as brainiest
For the quadratic equation 3x^2−7x+4=0, enter the correct values of a, b, and c.
Answer:
since 3x^2-7x+4=0 is in the form ax^2+bx+c=0, a=3, b=-7, c=4
Can someone help me pls
Answer:
H. $12.50
Step-by-step explanation:
Misha wants 1 1/4 yards for each of two straps, for a total of 2 1/2 yards. The ribbon costs $5 per yard, so the total cost for the two straps is ...
(2 1/2 yards)($5 /yard) = $12.50
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!
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
Solve for x 4x−2=3x+4
Answer:
x=6
Step-by-step explanation:
Answer:
x = 6
hope this helps!
Please answer this question with how do work it out?
Answer:
Point B coordinates' are: (3.2, 1.6)
Step-by-step explanation:
Since this is a rhomboid the diagonals AC and OB, must be perpendicular to each other. Then we can find first the equation of the line where segment AC lies, seeing that this line will cross the y axis at the point (0,4), and the x axis at the point (2, 0). The line can then be obtained by calculating the slope of the segment that joins the two points, and then using that the line's y-intercept must be at the point (0, 4):
[tex]slope=\frac{0-4}{2-0} =-2[/tex]
then the equation of the line for segment AC must be:
[tex]y=-2x+4[/tex]
Next, we calculate the equation of a perpendicular line to the previous one, and that passes through the point (0, 0) to determine the equation of the line that contains the segment OB. Recall that the perpendicular line to one of slope m must have a slope given by: -1/m (the opposite of the reciprocal of "m". Then this new perpendicular line passing through (0, 0) must be given by:
[tex]y=\frac{1}{2} x+0\\y=\frac{1}{2} x[/tex]
Now we can find the point at which both lines intersect:
[tex]\frac{1}{2} x=-2x+4\\\frac{1}{2} x+2x=4\\\frac{5}{2} x = 4\\x=\frac{8}{5}[/tex]
and therefore the y value of the intersection point can be calculated via:
[tex]y=\frac{1}{2} x\\y=\frac{1}{2} (\frac{8}{5} )\\y=\frac{4}{5}[/tex]
Then, point point B must be located at an x value that doubles the x value of the intersecting point, and similarly the y value of point B must be at the double of the value of the intersection point we just calculated. That is:
Point B = [tex](2\,*\frac{8}{5} ,\,2\,*\frac{4}{5} )=(\frac{16}{5} ,\frac{8}{5}) =(3.2,1.6)[/tex]
We can see the coordinates of point B and the lines we just generated in the attached image.
what is estimation? can we estimte sum,difference,product and quotient?
Answer:
Yes
Step-by-step explanation:
Estimated difference > Actual difference. Hence, 1000 is the approximate answer. 2. We can estimate the product and quotient of numbers by rounding off the numbers to the greatest place.
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......
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
Extra Points! Using the following data, calculate the mean absolute deviation: 1 6 5 8 3 7 1 4 10 9 What is the mean absolute deviation for these data? 9 5.4 5 2.6
Answer: 2.6 for the first one
Step-by-step explanation:
First absolute deviation: 1 6 5 8 3 7 1 4 10 9
Solve using the formula and get 2.6
For the second one I do not understand the digits. Therefore I cannot solve it.
I am very sorry, please forgive me
The mean absolute deviation of the data is M = 2.6
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the total number of points be n
Now , the value of n = 10
And , the number of points on each data is given by set A
Now , the value of set A = { 1 , 6 , 5 , 8 , 3 , 7 , 1 , 4 , 10 , 9 }
So , the total sum of data = 1 + 6 + 5 + 8 + 3 + 7 + 1 + 4 + 10 + 9
The total sum of data = 54
Now , the mean number of data points = 54 / 10 = 5.4
And , the mean deviation is M
M = 1/10 | [ ( 1 - 5.4 ) + ( 6 - 5.4 ) + ( 5 - 5.4 ) + ( 8 - 5.4 ) + | ( 3 - 5.4 ) | + ( 7 - 5.4 ) + ( 1 - 5.4 ) + ( 4 - 5.4 ) + ( 10 - 5.4 ) + ( 9 - 5.4 ) |
M = ( 1/10 ) [ 4.4 + 0.6 + 0.4 + 2.6 + 2.4 + 1.6 + 4.4 + 1.4 + 4.6 + 3.6 ]
M = ( 1/10 ) [ 26 ]
M = 2.6
Therefore , the value of M is 2.6
Hence , the mean deviation is 2.6
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d) The amount earned is a function of the number of years of experience
Answer:
(B)the amount earned is a function of the number of hours worked.
Step-by-step explanation:
Let the time worked (in hours) worked =t
Let the amount earned =A
From the graph
When t=1, A= $10
When t=2, A= $20
When t=3, A= $30
When t=4, A= $40
When t=5, A= $50
We observe that as t increases, the amount increases.
We can, therefore, conclude that the amount earned is a function of the number of hours worked.
Help I’ll give you 30 points
Answer:
a) 16.25 centimeters
b) 6.8 centimeters
Step-by-step explanation:
We can set up a proportion for both of these problems.
a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:
6.5/x
x represents the length you're trying to find.
Since the triangles are similar, we have an equation:
7.2/18=6.5/x
Cross multiply
16.25
XZ is 16.25 centimeters long.
b)
We can do same thing:
7.2/18=x/17
Cross multiply
6.8
QR is 6.8 centimeters long.
Hope this helps!
Answer:
QR = 6.8
XZ = 16.25
Step-by-step explanation:
We can use ratios to solve since the triangles are similar
7.2 QR
------- = ------------
18 17
Using cross products
7.2 *17 = QR*18
Divide by 18
7.2 *17/18 = QR*18/18
QR = 6.8
7.2 6.5
------- = ------------
18 XZ
Using cross products
7.2 XZ = 6.5*18
Divide by 7.2
7.2 XZ = 6.5*18/7.2
XZ = 16.25
Which of the following equations have no real solution but have two complex solutions?
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
What is -x^4+2x^3+ 6x^2– 10x– 4 divided by x-2?
Answer:
-x³ - 6x - 2
Step-by-step explanation:
We can either use long division or synthetic division to help us divide this. You could also factor to get your answer.
..............................................
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.
If Radhika adds these two numbers and represents the sum on an abacus, and if the beads on the ten's place are 2 and the beads on the one's place are 5, how many beads will be there on the hundreds place?
Answer:
Explained below.
Step-by-step explanation:
A standard abacus is a traditional method used to perform basic mathematical calculations, such as addition, subtraction, multiplication and division.
There are 5 rods on a standard abacus.
The shape of the abacus has a series of vertical rods on which a number of beads are placed.
Each bead on a particular rod is considered as 1 unit, i.e. if there are three beads on a rod, the value of that rod is 3.
The last rod on an abacus is for the unit's place, the second last rod is for the ten's place, the third last rod is for the hundredth's place, the fourth last rod is for the thousandth's place and the fifth rod is for the ten thousandth's place.
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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Helpppp me answer this please
Answer:
D is the right ans
Step-by-step explanation:
if i write step by step it will take a long time so quick
Answer:
D.
Step-by-step explanation:
Simplify the numerator and denominator separately. Let's do the numerator first. In the numerator, we have: [tex]x^2-8x-9[/tex]. We can factor this.
[tex]x^2-8x-9=(x-9)(x+1)[/tex]
(I did this by picking two numbers that multiply to -9 and add to -8. -9 and 1 are the only possible candidates).
Now, let's simplify the denominator. The denominator is:
[tex]5x^2-45x=5x(x-9)[/tex]
Thus, all together we will have:
[tex]\frac{(x-9)(x+1)}{5x(x-9)}[/tex]
We can cancel the (x-9) term. Thus:
[tex]=\frac{x+1}{5x}[/tex]
Please someone help a girl in need :)
Hey there! :)
Answer:
We can use the Pythagorean theorem to show that both triangles contain equivalent shorter legs:
Triangle A:
13² = 12² + b²
169 = 144 + b²
25 = b²
b, or the other leg, = 5 cm.
--------------------------------------
Triangle B:
c² = 12² + 5²
c² = 144 + 25
c² = 169
c = 13 cm.
---------------
Both triangles contain legs with side-lengths 5, 12, and 13 cm. The triangles are congruent because the lengths of the corresponding sides between triangle A and B are equivalent, which was proved using the Pythagorean Theorem.
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
Consider the quadratic function that has x-intercepts of -1 and 7 and passes through the point (-2,-20). What is the
value of a in the factored form of this function?
Answer:
a = -20/9.
Step-by-step explanation:
We can write it as
f(x) = a(x - 7)(x + 1)
When x = -2 and y = -20 (at the point(-2, -20):
-20 = a(-2 -7)(-2 + 1)
-20 = -9*-1 a
9a = -20
a = -20/9.