Answer:
Mario perdió dinero, perdió 2500 dólares
Step-by-step explanation:
En el primer caso, Mario está vendiendo su carro en 30 000 dólares. En otras palabras, el precio de venta es 30 000. Te dice que en el primer carro ganó 20%, o sea que su precio de venta es una incógnita que llamaremos x y gano 20% de x. Podemos expresarlo de esta manera
x = precio de compra carro 1
x + (20% de x) = 30 000
x = 100 % de x
(100% de x) + (20% de x) = 30 000
120% de x =30 000
120% = 1.2
1.2x = 30 000
x = 25 000
El segundo caso es bastante parecido. Te indica que el precio de venta sigue siendo el mismo, pero el precio de compra es diferente. El precio de venta sigue siendo 30 000, pero el precio de compra del segundo carro esta vez será "y". En este caso, pierde 20% del precio de compra, o osea, pierde 20% de y. Se puede expresar de la siguiente manera:
y = precio de compra carro 2
y - (20% de y) = 30 000
y = 100% de y
(100% de y) - (20% de y) = 30 000
80% de y = 30 000
80% = 0.8
0.8y = 30 000
y= 37 500
Entonces tenemos que el precio de compra del carro uno es 25 000 dólares y el precio de compra del carro dos es de 37 500. Si sumamos ambas cantidades, tenemos que ambos carros costaron 62 500 dólares. Como vendió esos dos autos a 30 000 dólares cada uno, recibió 60 000 dólares. El precio por el que vendió los autos (60 000) es menor al precio del que los compro (62 500), por lo que eso representa una perdida.
Para hallar la cantidad que ganó o perdió (en este caso perdió) debes restar el precio de venta menos el precio de compra.
60 000 - 62 500 = -2 500
Como es un número negativo, representa una perdida.
Find the product: (2 - 3i)(4 + 2i)
Answer:
(2 - 3i)(4+2i)
(2 x 4)(2 x 2i) (-3i x 4) (-3i x 2i)
8 x 4i x -12i -6i^2
6i^2 - 12i x 32
Step-by-step explanation:
Answer:
6i² - 8i + 8
Step-by-step explanation:
1. Expand Brackets: 8 + 4i - 12i - 6i²
2. Simplify equation: 8 - 8i - 6i²
3. Rearrange: 6i² - 8i + 8
4.
Which explanation provides the best real-world scenario of the graph?
A. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 + 120 gives the height of the object after t seconds.
B. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 120 gives the height of the object after t seconds.
C. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 – 120 gives the height of the object after t seconds.
Answer:
C. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 – 120 gives the height of the object after t seconds.
Step-by-step explanation:
.................................The last one is the only one that makes sense according to the standard position function. -16t^2 is the pull of gravity on an object in free fall, and the height is 120 feet above the ground. Hopefully that's what you need since there's no graph we can refer to
....................................................Answer:
The explanation that best provides the real-world scenario is:
If an object is dropped from a height of 120 feet, the function
gives the height of the object after t seconds.
Step-by-step explanation:
a)
If an object is dropped from a height of 120 feet, the function gives the height of the object after t seconds.
This option is incorrect.
Since when t=0 we have:
h(t)= -120
This is not possible as the object is above the ground and hence must have positive height initially.
b)
If an object is dropped from a height of -16 feet, the function gives the height of the object after t seconds.
This option is incorrect.
Since a object when is dropped from some height then it must be a positive height.
Also, when t=0 we have: h(t)= 120 feet.
This means that the object is dropped from a height of 120 feet.
c)
If an object is dropped from a height of 120 feet, the function gives the height of the object after t seconds.
In this when t=0 we have:
h(t)=120 that means the height of the object initially was 120 feet and then it decreases with the increase in time as the object will reach the ground with the time increase and hence height will decrease.
Hence, this option is correct.
........................................The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
.................Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
The explanation that best provides the real-world scenario is:
⇒ If an object is dropped from a height of 120 feet, the function
h(t) = - 16t² - 120 gives the height of the object after t seconds.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
a) If an object is dropped from a height of 120 feet, the function
h(t) = - 16t² + 120 gives the height of the object after t seconds.
Hence, This option is incorrect.
Since, when t=0 we have:
h (t) = -120
This is not possible as the object is above the ground and hence must have positive height initially.
b) If an object is dropped from a height of -16 feet, the function
h(t) = - 16t² + 120 gives the height of the object after t seconds.
This option is incorrect.
Since a object when is dropped from some height then it must be a positive height.
Also, when t = 0
we have: h (t) = 120 feet.
This means that the object is dropped from a height of 120 feet.
c) If an object is dropped from a height of 120 feet, the function
h(t) = - 16t² - 120 gives the height of the object after t seconds.
In this when t=0 we have:
h(t)=120
That means the height of the object initially was 120 feet and then it decreases with the increase in time as the object will reach the ground with the time increase and hence height will decrease.
Hence, this option is correct.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?
A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)
Given:
The function is:
[tex]y=2x^2+3x[/tex]
Domain is the set {-2, -1, 0).
To find:
The range of the given relation.
Solution:
We have,
[tex]y=2x^2+3x[/tex]
Substituting [tex]x=-2[/tex], we get
[tex]y=2(-2)^2+3(-2)[/tex]
[tex]y=2(4)+(-6)[/tex]
[tex]y=8-6[/tex]
[tex]y=2[/tex]
Substituting [tex]x=-1[/tex], we get
[tex]y=2(-1)^2+3(-1)[/tex]
[tex]y=2(1)+(-3)[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Substituting [tex]x=0[/tex], we get
[tex]y=2(0)^2+3(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).
B = P + Prz solve for r
Answer:
(B-P) / Pz = r
Step-by-step explanation:
B = P + Prz
Subtract P from each side
B-P = P -PPrz
B-P = Prz
Divide each side by Pz
(B-P) / Pr = Prz/Pz
(B-P) / Pz = r
HELP ME PLEASE I REALLY NEED IT!!
Find the RATIO and the EXACT VALUE of the given Sec B.
Answer:
13/5
Step-by-step explanation:
Cos is the opposite of Sec si first find the Cos of B which is 5/13, which would mean the Sec B would 13/5.
Answer:
Step-by-step explanation:
Recall that the secant function is the reciprocal of the cosine function. The cosine function is defined as
adj side
cos Ф = ------------------
hypotenuse
and so the secant function is
hypotenuse 13
sec Ф = ------------------ which here is --------- = sec B
adj side 5
What's the exact length of BC?
A) 8√3
B) 5√6
C) 12
D) √306
Answer:
The answer is (15)²= (9)²+(BC)²
225=81+(BC)²
BC=√144
BC=12
They also have a pdf for it
copy and paste this pdf it should help you mepanswers.pdfStep-by-step explanation:
Is a triangle with side lengths 7cm, 24 cm, and 25 cm a right triangle? Explain.
Answer:
Step-by-step explanation:
If this is right triangle, then 2 things are fact: that the side length 25 is the length of the hypotenuse since the hypotenuse is always the longest side in a right triangle, and that Pythagorean's Theorem applies. Let's check that:
[tex]7^2+24^2=25^2[/tex] If this is a true statement, then these sides do indicate a right triangle.
49 + 576 = 625 and
625 = 625 so yes, this is right triangle by the Converse of Pythagorean's Theorem
1.
What are the solutions to the equation 0 = x2-x-6?
How do I solve 6/10 = x/15
Answer:
the answer is 9
Step-by-step explanation:
6/10=x/15
10x=90
x=9
There are 29 students in Mrs. Dixon's science class. On the last test, only 1 student earned the median score of 84.
How many students scored an 84 or lower?
A - 15
b - 14
C - 13
D - 12
Answer:
A
Step-by-step explanation:
Median can be described as the number that occurs at the middle of a set of observations.
for example, in the set of numbers, 1 2 3 4 5, the median is 3
median = (first number + last number) / 2
If there are 29 students,
median = (1 + 29) / 2 = 30/2 = 15
the 15th students scored 84
and students between 1 - 14 scored lower than 84
so, 15 students scored an 84 or lower
Write a polynomial in factored form that has the given zeros:
Zero at -4 with multiplicity of 2
Zero at 5 with multiplicity of 3
Answers to choose from.
1. f(x)=(x-4)^2(x+5)^3
2. f(x)=(x-2)^-4(x+3)^5
3. f(x)=(x+4)^2(x-5)^3
4. f(x)=(x+2)^-4(x+3)^5
Answer:
f(x) = (x + 4)^2*(x - 5)^3
Step-by-step explanation:
For a polynomial P(x) with zeros (or roots):
x₁, x₂, ..., xₙ
And a leading coefficient (the one that multiplies the term of highest degree) A, we can write the polynomial as:
P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
Now, some of these roots can be repeated.
For example if x₁ = x₂
Then we say that the root x₁ has a multiplicity of two.
And we write the polynomial as:
P(x) = A*(x - x₁)^2*(x - x₃)*....*(x - xₙ)
Now, if we have a polynomial with the roots (or zeros):
Zero at -4 with a multiplicity of 2 (we have the root x = -4 two times)
Zero at 5 with a multiplicity of 3 (we have the root x = 5 3 times)
(And a leading coefficient A = 1, I assume)
This polynomial will be written as:
f(x) = (x - (-4))*(x - (-4))*(x - 5)*(x - 5)*(x - 5)
f(x) = (x + 4)*(x + 4)*(x - 5)*(x - 5)*(x - 5)
f(x) = (x + 4)^2*(x - 5)^3
The correct option is the third one:
Help me out please thank you ?!!!
Answer:
1) 69 2) 69 3) 60 4) 60 5) 51
Step-by-step explanation:
Triangles have 180 degrees interior and 360 degrees exterior. Knowing this you add all the values within a triangle and subtract it from 180 to find the missing degrees.
For the purple, the green is supplementary which means the other angle will help it equal 180 degrees. the missing green angle is 38. 38+82=120 and 180-120=60. because of vertical angles, angle 2 is 69 and angle 4 is 60. this makes 129 so 180-129=51.
Hope this helps you in some way. if not, sorry i failed you.
Answers
angle 1 = 111 degreesangle 2 = 69 degreesangle 3 = 60 degreesangle 4 = 60 degreesangle 5 = 51 degreesBe sure to use the actual degree symbol instead of typing in "degrees" after each number.
========================================================
Explanation:
To find angle 1, we can use the remote interior angle theorem. The yellow angles you've highlighted (46 and 65) add up to the measure of angle 1, which is an exterior angle. So angle 1 is 46+65 = 111 degrees
The slightly longer method is to make x be the missing angle of the left-most triangle. Solve x+46+65 = 180 to get x = 69 degrees. Then note how angle x and angle 1 are supplementary, meaning x+(angle1) = 180 leads to angle 1 = 111 degrees (because 180-69 = 111)
------------------------
Angle 2 is 69 degrees since angle x = 69, which is a vertical angle to angle 2. Or you could note that angle 1 and angle 2 are supplementary
(angle1)+(angle2) = 180
(111)+(angle2) = 180
angle2 = 180-111
angle 2 = 69 degrees
This method is used to prove the vertical angles theorem is always true.
-------------------------
Angle 3 can be found using the remote interior angle theorem, but we'll be going in reverse this time. Let y be the measure of angle 3
y+82 = 142
y = 142-82
y = 60
angle 3 = 60 degrees
Like with angle 1, there's also a slightly longer method that follows the same idea as before. If you follow this method, you'll need to find the missing piece of the green angle you highlighted (which his 180-142 = 38 degrees), then use the idea that A+B+C = 180 where A,B,C are the three interior angles of any triangle.
---------------------------
Angle 3 and angle 4 are vertical angles, so they are always congruent and angle 4 is also 60 degrees
---------------------------
Let z = measure of angle 5
Focusing on the smaller triangle in the middle, we can say,
(angle2)+(angle4)+(angle5) = 180
(69) + (60) + (z) = 180
z+129 = 180
z = 180-129
z = 51
angle 5 = 51 degrees
I REALLY NEED HELP RIGHT NOW! T^T
Applying the 30-60-90 Theorem, Solve this.
Answer:
Step-by-step explanation:
take 30 degree as reference angle
using cos rule
cos 30=adjacent/hypotenuse
[tex]\sqrt{3}[/tex]/2=7[tex]\sqrt{3}[/tex]/y(do cross multiplication)
14[tex]\sqrt{3[/tex]=y[tex]\sqrt{3}[/tex]
14[tex]\sqrt3}[/tex]/[tex]\sqrt{3}[/tex]=y
14=y
for x
using pythagorsa theorem
H^2=P^2+B^2
14^2=X^2+(7[tex]\sqrt{3}[/tex])^2
196=X^2+147
196-147=X^2
49=X^2
[tex]\sqrt{49}[/tex]=X
7=X
Y=-7(x+3)(x-2) in standard form
Answer:
7 x − y = 17
Step-by-step explanation:
Apply the distributive property.
y + 3 = 7 x+ 7 ⋅ − 2
Multiply 7 by − 2 .
y + 3 = 7x − 14
Rewrite the equation with the sides flipped.
7 x − 14 = y + 3
Move all terms containing variables to the left side of the equation.
Subtract y from both sides of the equation.
7x−14−y=3
Move -14.
7x−y−14=3
Step-by-step explanation:
If 6x − 8 = 7x, then 13x =_____?
please help me i really need help
Answer:
90
Step-by-step explanation:
Answer:
LITERALLY THESE WORDS: Because it goes up 8 and over 15
Step-by-step explanation:
if the goes up 8 and over 15 that has to be the slope.
I hope this helps even though its probably not :)
1. You and your friend mix water and citric acid. You add 3 cups of citric acid for every
16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose
mixture is more acidic?
Answer:
Mine will be more acidic
Step-by-step explanation:
16 cups × 12 cups
192 cups
For me: 3 citric acid every 3 cups
192÷16= 12
12×3= 36
Friend:
192÷12=16
16×2=24
Geometry//// volume of a cylinder ✨✨✨✨
Answer:
595.82 cubic feet
Step-by-step explanation:
The formula for a cylinder is pi times radius squared times height. First, you take the diameter and divide it by two to get 4.25. Now do 4.25 times 4.25 and get 18.0625.
Now multiply 18.0625 by 10.5 to get 189.65625.
Now multiply that by pi (3.14) to get 595.82 (Rounded to the nearest hundreth)
help with full calculations
Answer:
2. (b) ∠ZYX
3. (b) noncollinear
Step-by-step explanation:
2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.
Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.
__
3. Points not on the same line are noncollinear. Point E does not lie on line AB, so points A, B, and E are noncollinear.
One angle of an isosceles triangle measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply. 45, 65, 30,15.
Answer:
45°
Step-by-step explanation:
(180-90)/2 = 90/2 = 45°
The answer is 45°.
Step-by-step explanation:
Hey there!
Since it is an isoceles triangle two angles must be equal.
Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.
Then;
x+x+90° = 180° { Sum of interior angles of a triangle is 180°}
or, 2x + 90° = 180°
or, 2x= 180° - 90°
or, 2x = 90°
or, X= 90°/2
or, X=45°.
Therefore, the other angles are 45° and 45°.
Hope it helps!
Determine if the two triangles in the image above are similar. If so, what’s the correct postulate. SSS, SAS, AA, or None
Answer:
SAS
Step-by-step explanation:
Jorge's friend Anna planted a garden with the same ratio of tulips to daisies. Anna's garden has 21 tulips. How many total flowers are in Anna's garden?
Answer:
48 flowers
Step-by-step explanation:
Since, the ratio of tulips to daisies are the same.
Hence, if we have x number of daisies, then the number of tulips will also be x.
Therefore, with number of tulips being 21 and equal ratio of daisies will also mean that Anna has 21 daisies .
The total number of flowers will be :
Number of tulips + Number of daisies
21 + 21 = 42 flowers
A small toy block shaped like a right rectangular prism measures 6 cm long, 3 cm wide, and 2 cm high. What is the volume of the toy block?
36cm³
Step-by-step explanation:
Volume= mass
density
What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet.
Answer:
all of CO2 if go UC FL LG ex Vi if FC no of go on NJ TX FM NC ch UFC Vk jaa
Step-by-step explanation:
DJ ND fixUC guy if fu TX Vk kg go UC Chi UC ch UFC
[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex] \sqrt{25 \times 25} [/tex]
[tex] \\ \\ \\ \\ [/tex]
[tex] \sqrt{625} [/tex]
[tex] \sqrt{25 \times 25} \\ \\ = 25[/tex]
Hope This Helps You
Beth is flying a kite with 300 feet of string. The kite gets stuck in a tree, so she ties the other end of the string to a rock on the ground making the string taut. The angle of elevation from the rock to kite is 35 degrees. How far up the tree is the kite? Round your answer to the nearest tenth. (No links please)
Answer:
[tex] \displaystyle 172.1 ft[/tex]
Step-by-step explanation:
refer the attachment
let the string be hypotenuse and
the height be h And the angle be 35°
given that,
hypotenuse:300ftangle:35°since we are given the hypotenuse and want to figure out the opposite side we'll use sin function
so our equation would be
[tex] \displaystyle \sin( {35}^{ \circ} ) = \frac{h}{300} [/tex]
cross multiplication:
[tex] \displaystyle h= 300 \sin( {35}^{ \circ} ) [/tex]
by using calculator we obtain:
[tex] \displaystyle h = 172.1[/tex]
hence,
about 172.1ft far up the tree is the kite
Hope this help!!!
Have a nice day!!!
I NEED PLEASE IT WOULD REALLY HELP ME ALOT !!
NO LINK OR ZOOMS
Answer:
C
Step-by-step explanation:
Don't worry about the volume to start with. Just look at the area of the top or bottom.
The hole has a 4 inch diameter
d = 4
r = d/2
r = 2
Area = pi r^2
Area = pi * 2^2
Area = 4 pi
Now find the area of the top (or bottom) if the circle was not there.
L = 8
W = 6
Area = L * W
Area = 8 * 6
Area = 48
Now take away the area of the circle.
Area Top = 48 - 4 * pi
Area Top = 48 - 12.56
Area Top = 35.44
Finally, Find the volume
Volume = area of the top * height
Volume = 35.44 * 15
Volume = 531.6
Which series is convergent? Check all that apply.
Answer:
The convergent series are;
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]
(And)
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]
Step-by-step explanation:
A series in mathematics is the sum of a sequence of numbers to infinity
A convergent series is a series that sums to a limit
From the given options, we have;
First option
[tex]\sum \limits _{n = 1}^\infty \dfrac{2\cdot n}{n + 1}[/tex]
As 'n' increases, 2·n becomes more larger than n + 1, and the series diverges
Second option
[tex]\sum \limits _{n = 1}^\infty \dfrac{n^2 - 1}{n - 2}[/tex]
As 'n' increases, n² - 1, becomes more larger than n - 2, and the series diverges
Third option
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]
As 'n' increases, [tex]\left( \dfrac{1}{5} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges
Fourth option
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]
As 'n' increases, [tex]3 \times\left( \dfrac{1}{10} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges
Fifth option
[tex]\sum \limits _{n = 1}^\infty \dfrac{1}{10} \cdot (3) ^n[/tex]
As 'n' increases, [tex]\dfrac{1}{10} \cdot (3) ^n[/tex], becomes more larger and tend to infinity, therefore, the series diverges.
Answer:
C and D
Step-by-step explanation:
Edge 2021
7 times a certain number is decreased by 8 and the result is equals to 20
Answer:
let x represent the number
7x-8=20
7x=20+8
7x=28
x=28/7
x=4
this is the correct answer
Answer:
7x-8=20 or x=4
Step-by-step explanation:
Let's say the certain number is x
7x-8=20
Add 8 on both sides:
7x-8+8=20+8
Simplify:
7x=28
Divide 7 on both sides:
[tex]\frac{7x}{7}[/tex]=[tex]\frac{28}{7}[/tex]
Simplify:
x=4
In a freefall skydive, a skydiver begins at an altitude of 10,000 feet. during a freefall, the skydiver drops toward earth towards earth at a rate of 175 ft per second. the height of the skydiver from the ground can be modeled using the function H(t)=10,000-175t.
What is the domain of the function for this situation?
Answer:
{[tex]t|0\leq t\leq 50[/tex]}
Step-by-step explanation:
We are given that
In a freefall skydive, a skydiver begins at an altitude during free fall =10,000 feet
The skydiver drops towards earth at a rate=175 ft/s
The height of the skydiver from the ground can be modeled using the function
[tex]H(t)=10000-175t[/tex]
We have to find the domain of the function for this situation.
When t=0
Then ,[tex]H(0)=10,000 feet[/tex]
From given graph we can see that the value of t lies from 0 to 50.
Therefore, the domain of the function for this situation is given by
{[tex]t|0\leq t\leq 50[/tex]}