Answer:
$12,400
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
I = 31000 x .08 x 5
I = 12,400
On a coordinate plane, 2 rectangles are shown. Rectangle P Q R S has points (negative 3, negative 5), (negative 2, negative 5), (negative 2, negative 1), (negative 3, negative 1). Rectangle P double-prime Q double-prime R double-prime S double-prime has points (negative 5, 5), (negative 5, 4), (negative 1, 4), (negative 1, 5).Which rule describes the composition of transformations that maps rectangle PQRS to P''Q''R''S''?R0,270° ∘ T0,2(x, y)R0,180° ∘ T2,0 (x, y)T0,2 ∘ R0,270°(x, y)R0,2 ∘ T0,180°(x, y)
Answer:
T0,2 ∘ R0,270°(x, y)
Step-by-step explanation:
Answer:
c or T0,2 ∘ R0,270°(x, y)
Step-by-step explanation:
edge 2021
please help on 6 and 7 !!
Answer:
, o0e1g02gd20ugd2pigs1ogdp1usg1usg2sg9gsulsg2upgpu2gdu2
Step-by-step explanation:
Upf2upg2epu96fsgd2jgdf2u2gs2pugdpu2v20udg0u2dg2d07gdu02v0uvdu2udih28db2 uwg02u8g8whd2idb0u3df'3
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Solve for y in terms of v, w, x, and z.
wy=–zvx
Answer:
y = (-zvx)/w
........
Han is multiplying 10x^4 by 5x^3 and gets 5x^7. He says that 0.5x^3 is not a polynomial because 0.5 is not an integer. What is the error in Han’s thinking? Explain your reasoning.
The result of the product with [tex]5x^7[/tex], we can see that Han neglected the zero taking 50 the same as 5 which is wrong
Given the polynomial functions
r(x) = [tex]10x^4[/tex]
t(x) = [tex]5x^3[/tex]
Taking the product of both functions:
P(x) = r(x) * t(x)
P(x)= [tex]10x^4\times 5x^3[/tex]
P(x) = [tex](10\times 5) \times(x^4\times x^3) = 50x^7[/tex]
Comparing the result of the product with [tex]5x^7[/tex], we can see that Han neglected the zero taking 50 the same as 5 which is wrong.
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Help please i need to know this
Answer:
As shown in the attachment,
Step-by-step explanation:
please somebody answer this last one !!!!!!
Hope this helps :)
need more help just comment :) :)
Vector q has a magnitude of 3.5 meters and points due west. Vector r has a magnitude of 3.5 meters and points due east. Both vectors have the same terminal point, but different initial points.
Are the two vectors equivalent?
A
Yes, because the vectors have the same magnitude.
B
Yes, because the vectors the same terminal point.
C
No, because the vectors do not have the same initial point.
D
No, because the vectors do not have the same direction.
[tex]\huge\mathtt\colorbox{white}{D}[/tex]
By definition, two vectors are equal if and only if they have the same magnitude in the same direction.
[tex]\huge\underline\mathsf\colorbox{cyan}{pl go with D}[/tex]
if sin x equal to a/b
what is sin(90-x)
Answer:
[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]
The value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
Given that, sinx=a/b.
We know that, sinθ=Opposite/Hypotenuse
Here, Opposite = a and Hypotenuse = b
Let the adjacent side be x.
Here, x=√(b²-a²)
Given that, sin(90°-x) = cosx
Now, cosx=x/b
cosx=√(b²-a²)/b
Therefore, the value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
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Can some pls help me
Answer:
5.29
Step-by-step explanation:
(Side)^2 = (Hypotenuse)^2 - (Side)^2
(Side)^2 = (8)^2 - (6)^2
(Side)^2 = 64 - 36
(Side)^2 = 28
Side = √28
Side = 5.29
_________
[tex] \: [/tex]
a² = c² - b²
a² = 8² - 6²
a² = 64 - 36
a² = 28
a = √28
a = 2√7
parallelogram ABCD with vertices A(6,8) B(10,9) C(9,3) and D(5,2): 90 counterclockwise rotation about P(4,1)
A ( , )
B ( , )
C ( , )
D ( , )
Answer:
A(-3 , 3) B(-4 , 7) C(2 , 6) D(3 , 2)
Step-by-step explanation:
Rotation of the parallelogram about the point P(4, 1), is done by taking
point P as the origin, and using relative coordinates for the rotation.
[tex]\underline{A(-3, \, 3)}[/tex][tex]\underline{B(-4, \, 7)}[/tex][tex]\underline{C(2, \, 6)}[/tex][tex]\underline{D(3, \, 2)}[/tex]Reasons:
The given parameters are;
Vertices of the parallelogram ABCD are;
A(6, 8), B(10, 9), C(9, 3) and D(5, 2)
Point about the parallelogram is rotated = P(4, 1)
Angle of rotation = 90°
Direction of rotation = Counterclockwise
90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)
Therefore, we have;
The given points relative to the point P are;
A'(6-4, 8 - 1) = A'(2, 7)
B'(10 - 4, 9 - 1) = B'(6, 8)
C'(9 - 4, 3 - 1) = C'(5, 2)
D'(5 - 4, 2 - 1) = D'(1, 1)
Therefore, we get;
A'(2, 7) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] A''(-7, 2)
B'(6, 8) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] B''(-8, 6)
C'(5, 2) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] C''(-2, 5)
D'(1, 1) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] D''(-1, 1)
Which then gives;
The image location are;
A(-7 + 4, 2 + 1) = A(-3, 3)
B''(-8 + 4, 6 + 1) = B(-4, 7)
C''(-2 + 4, 5 + 1) = C(2, 6)
D''(-1 + 4, 1 + 1) = D(3, 2)
Therefore, we have;
A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)
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2. The price of a gallon of gas was $2.95 on Monday. On Wednesday, the price of a gallon of gas rose to $3.15. How much did the price rise?
The amount of $ by which the price increased
Help
Answer:
0.2
Step-by-step explanation:
2.95-3.15
what is the equation of line that is perpendicular to the line: y=3x-6 and goes through the point ( -3 , 6 )
Step-by-step explanation:
y = 3x - 6
the slope of a line is always the factor of x in the equation. in our case here : 3 = 3/1.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.
so, in our case, it is -1/3.
the equation for the perpendicular line looks like this then :
y = (-1/3)×x + b
to get b we use the provided point and it's x and y values.
6 = (-1/3)×-3 + b = 1 + b
b = 5
so, the full equation of the perpendicular line is
y = (-1/3)×x + 5
A stack of 30 science flashcards includes a review card for each of the
following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting an insect?
The probability of randomly selecting an insect is 2/15.
What is probability?
It is a measure of happening or non happening of the outcomes of a random experiment.
Formula for probabilityP(E) = number of favorable outcomes/Total number of outcomes
Where, P(E) is the probability of any event.
Let E be an event of selecting an insect.
According to the given question
We have
Total number of insects = 10
Total number of trees = 8
Total number of flowers = 8
Total number of birds = 4
Now, the total number of outcomes = 10 + 8 + 8 + 4 = 30
Total number of favorable outcomes = 4
Therefore,
The probability of selecting an insect = [tex]\frac{4}{30} =\frac{2}{15}[/tex]
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Maybe can I have some help?
Lee has 14 strawberry scones and 21 Raspberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of Strawberry scones and an equal number of Raspberry scones. What is the greatest number of bags Lee can fill? Explain how you know.
Answer:
SORRY I DON'T KNOW THE ANSWER BUT I LOVE YOUR PROFILE PICTURE LUFFY IS THE BEST <3 :D
This question requires you to enter the answer in the box provided on the screen.
Fractions should be entered in lowest terms using a forward slash (/) and converted to improper fractions when applicable.
Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash (/) to enter the answer.
Two numbers are given.
64 and 80
What is the greatest common factor of these two numbers?
Answer:
16
Step-by-step explanation:
The greatest common factor is the greatest integer which divides evenly into both numbers. One way to find this is to list all of the divisors of one of the numbers, and then select the biggest of those that divides evenly into the other number, and that number is the greatest common factor.
We start with 64.
Its divisors are 1, 2, 4, 8, 16, 32, 64. The biggest of those numbers which divides evenly into 80 is 16.
Thus, the greatest common factor is 16.
PLEASE PROVIDE A PICTURE graph the solution to this system of inequalities in this coordinate plane. 3у > 2х + 12
2x +y < -5
Answer:
The double shaded region
Worth 100 Points!
Help, this is after an test. And I still don't understand it. Could someone please help me understand this question related to inverse functions? Thanks!
You were close, and have the right idea, but I think you did it a bit backwards! You want to "flip" it over the y=x line (picture attached below)
To solve for the inverse, you will find the equation of the original, switch the x and y, then solve for y.
We can (mostly, I think?) tell the equation for f(x) is as follows, so we switch the y and x for the steps following to solve for y:
[f(x)] y = -2x + 2
[switch] x = -2y + 2
[subtract 2 from both sides / flip equation] -2y = x - 2
[divide both sides by -2] y = -2x -4
So our equation for g(x) will be about y = 2x -4
(inverse so the negative is weird)
Photos:
- first is y=x
- second is the general idea of the inverse for what g(x) should look like
- third is kinda what the graph will look like (digitally)
I know this isn't a *perfect* answer, but I hope it explains it some and helps. Good luck! :D
cuanto es un numero elevado a la veinte?
Answer:
2?
Step-by-step explanation:
If the fraction 396/x-10 is equivalent to -22, find the value of x
Answer:
-33
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
396/x-10-(-22)=0
Answer:
-33
Step-by-step explanation:
my work is done in the image below
what do you do when you simplest form and have a left over number. Using the word "to"
In QRS, Q = S, SQ = 5 and RS = 11. Find the length of QR.
Angle Q = 31°
Angle R = 118°
Angle S = 31°
g(x)=-3x+2 and g(x)=-1, find x
Answer:
x=1
Step-by-step explanation:
The latest thrill ride at a popular theme park takes roller coaster fans on an exciting ride. In the first 20 seconds, it carries its passengers up a 100-meter hill, plunges them down 72 meters, and quickly takes them back up a 48-meter rise. How much higher or lower from the start of the ride are they after these 20 seconds?
HELP ME PLEASE!!!!
100-meter rise, 72-meter descent followed by a 48-meter rise
100-72+48 = 76
after these 20 seconds, they are 76 meters higher than at the start of the ride
Find the result when 68 is decreased by 50%.
Answer:
34
Explanation:
When 68 is decreased by 50%, that would mean that it is decreasing by half of that number. Half of that number would be 34 and that would be your answer.
Which of the following is most likely the next step in the series?
B.
SUBMIT
Answer:
I would say A.
Step-by-step explanation:
The pattern is blue, red, red, blue, blue, red, so then another red?
I apologize if im incorrect
Find the area of this triangle.
Answer:
84 cm²
Step-by-step explanation:
Area triangle = 1/2(b x h)
Area = 1/2(21 x 8)
Area = 1/2(168)
Area = 84
84 cm²
-Chetan K
Find the product of 54 and the sum of 15
Answer:
6 and 9 are the two numbers that have a sum of 15 and when multiplied + 54
Step-by-step explanation:
Will someone please help me ASAP
Answer:
y- [2] = 4(x - [3])
Answer:
y-2 = 4(x-3)
Step-by-step explanation:
The point slope equation is
y - y1 = m(x-x1) where m is the slope and (x1,y1)
y-2 = 4(x-3)
After swimming to a depth of 55 feet below the surface of
the water, a fish swims back up 30 feet. Use a number line
a
to help you create an equation that shows the new location
of the fish in relation to the water's surface.
-80 -70 -60 -50 -40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.
A. The equation is -55 +(-30) = -85. The fish is 85 feet below
the water's surface.
O B. The equation is -55+ 30 = -25. The fish is 25 feet below the
water's surface.
C. The equation is -55+ (-30) = -25. The fish is 25 feet below
the water's surface.
D. The equation is -55+ 30 = -85. The fish is 85 feet below the
water's surface.
Answer:
Your answer to this question is B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.
Step-by-step explanation:
Hope this helps!
Answer:
B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.
Step-by-step explanation:
HOPE IT HEPL!! :D