The given expression 5x+3x²-7x³+2 is a cubic expression.
What is a cubic expression?A cubic expression is a three-dimensional algebraic equation of the form ax³ + bx² + cx + d = 0, where the coefficients are a, b, and c, and the constant is d.
In order to classify the given expression as 5x+3x²-7x³+2, we need to rearrange the given expression,
[tex]5x+3x^2-7x^3+2\\\\=-7x^3+3x^2+5x+2[/tex]
Since the highest power that is in the expression is 3, therefore, the given expression is a cubic expression.
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A new car is purchased for 22300 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 7700 dollars?
Answer:
13 years the value of the car is 7700 dollars.
Step-by-step explanation:
Your search - { Present Volue = initial value (1-7.5%) t t is the years
∴7700 = 22300 (1-7,5%)^t
= $10.925 ) t = [tex]\frac{7700}{23300}[/tex] = 0.345 t=13
Supplement:
I year.
P value = 22300- 22300.7.5%
2 years
p value = (122300 - 22300. 7.5% ) - (22300-223107.5%)
= (22300 - 12300.7.5% ) (1-7.5%)
= 22300 (1-7.5%)(1-7.5%).
so t years :
p value = 22300 (1-7.5%)^t
Can someone please explain system of equations to me?
I’m struggling
27 points please help me out which are equivalent
Answer:
a)
[tex]8(x + 5)[/tex]
b)
[tex]13y + 10[/tex]
Step-by-step explanation:
Hope it helps you<3Answer:
(a) 1st, 2nd
(b) 4th
Step-by-step explanation:
(a) Option 1: Expanding with the distributive property, we have
[tex]8(x+5)=8x+8\cdot 5\\~~~~~~~~~~~~=8x+40,[/tex]
which is equivalent.
Option 2: Multiplying the terms gives
[tex]8\cdot x+8\cdot 5= 8x+40[/tex],
which is equivalent.
Option 3: We don't know what x is, so there is no way to write [tex]48x[/tex] as [tex]8x+40[/tex]. This is not equivalent.
Option 4: Expanding with the distributive property gives
[tex]8(5x+1) = 8\cdot 5x+8\cdot1\\~~~~~~~~~~~~~=40x+8,[/tex]
which is not equivalent.
(b) First, we combine like terms in the given expression:
[tex]12+14y-2-y=12-2+14y-y\\~~~~~~~~~~~~~~~~~~~~~~~=10+(14-1)y\\~~~~~~~~~~~~~~~~~~~~~~~=10+13y.[/tex]
Looking at the given answer choices, only the fourth option is equivalent.
The length of a rectangular storage room is 2 feet longer than its width if the area of the room is 195 square feet, find its dimensions
The dimensions of the rectangular storage room are length = 15 ft and width = 13 ft
Let the
L = length of the rectangular storage room and W = width of rectangular storage room.Givent hat its length is 2 feet longer than its width, we have that
L = W + 2
Area of a rectangleThe area of the room is a rectangle A = LW where
L = length of room and W = width of roomSince the area of the room A= 195 ft², we have that
A = LW
LW = 195
The width of the rectangular storage roomSubstituting the value of L into the equation, we have
LW = 195
(W + 2)W = 195
W² + 2W = 195
W² + 2W - 195 = 0
W² + 15W - 13W - 195 = 0
W(W + 15) - 13(W + 15) = 0
(W + 15)(W - 13) = 0
W + 15 = 0 or W - 13 = 0
W = -15 or W = 13.
Since W cannot be negative, W = 13 ft
The length of the rectangular storage room
Since L = W + 2
Substituting W into the equation, we have
L = 13 + 2
L = 15 ft
So, the dimensions of the rectangular storage room are length = 15 ft and width = 13 ft
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What is the height of a right circular cylinder that has a volume of 48 cubic centimeters and a radius of 2 centimeters
Answer:
the answer will be 3.82 . Hope this helped
Step-by-step explanation:
what is 16 to the 16th power + 92 cubed?
Answer:
348
Step-by-step explanation:
16*16=256
256+92=348
Where are earthquakes generally more violent violent
(a) along a plate boundary where tension is released frequently or
(b)along a boundary where tension builds up over a greater period of time
Answer:
B
Step-by-step explanation:
Earthquakes are formed when a plate is stuck and it later releases (which creates the shaking). The more tension, the greater an earthquake is.
Hope this helps :)
Have a nice day
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You want to find out the height of a tree, so you hold a square cardboard so that the edges line up with the top and bottom of the tree, as shown in the diagram below. Your friend measures the horizontal distance from you to the tree, and the vertical distance from the ground to your eye.
What is the height of the tree to the nearest tenth of a foot?
The height of the tree to the nearest tenth of foot is 20.5 ft
Right angle triangle:
A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.
The side of the base triangle can be found using Pythagoras theorem.
c² = a² + b²
c² = 9.2² + 5.8²
c² = 84.64 + 33.64
c = 10.9 ft
using similar triangle ratio,
5.8 / 10.9 = 10.9 / x + 5.8
5.8x = 118.81 - 33.64
x = 85.17 / 5.8
x = 14.6844827586
x = 14.7 ft
The height of the tree to the nearest foot is 14.7 + 5.8 = 20.5 ft
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If mZT = (2x + 85), m ZV = (5x + 29)", and
the sum of the measures of the angles is
930, find the measure of each angle.
Answer:
Solving for x;
2x + 85 + 5x + 29 = 930
combine like terms:
7x + 114 = 930
-114 -114
7x = 816
/7 /7
x = 116.57, now we replace the x with it's actual value:
∠ZT = 2(116.57) + 85 = 318.14°
∠ZV = 5(116.57) + 29 = 611.85°, lets double check if they both equal 930;
318.14 + 611.85 = 929.99, which is close to 930 so we are correct.
1
21 points
Define each sequence as Geometric (common ratio r), Arithmetic (common difference d), or Neither.
-25,-18,-11,-4
Answer:
Its an Arithmetic progression
Step-by-step explanation:
d1= -18-(-25)= 7
d2= -11-(-18)= 7
d1 = d2
r1 = -18/25=0.72
r2 = -11/-8= 0.611
r1 isnt = r2
Write an equation you can use to find the value of x.
The perimeter of square: 30 mm
Each side of the square is x mm
Answer:
56.25
Step-by-step explanation:
7.5x7.5=56.25
Please someone explain me how can I find that
Answer:
fu
Step-by-step explanation:
A triangle has sides with lengths of 60 miles, 75 miles, and 45 miles. Is it a right triangle?
Answer:
I don't think it is
Step-by-step explanation:
tell me if I'm wrong
Answer:
yes it is a right triangle
Step-by-step explanation:
tell me if im wrong
Jack splits 28 muffins among 4 baskets. He puts the same number of muffins in each basket.
How many muffins are in each basket?
Answer:
7
Step-by-step explanation:
28/4=7
Hope this helps! :)
Have a blessed day and good luck on your assignment
Please mark me as brainliest I really want to level up
Vanessa deposits $24,000 into each of two savings accounts. • Account I eams 2.4% interest compounded annually. • Account II eams 2.4% annual simple interest • There are no additional deposits or withdrawals. What is the sum of the balances of these accounts at the end of 5 years? I WILL GIVE BRAINLIEST JUST ANSWER ME WITH THE RIGHT ANSWER AND FAST/ASAP
A. $53,760.00
B.$53,901.59
C. $54,043.20
D. $56,640.00
Answer:
B
Step-by-step explanation:
I just took the test. Sorry for the late response.
Using the Pythagorean Identity find the cos(0) if the sin(0) =20/29 given that the terminal side is in the 2nd
quadrant. You must show all work.
The value of cosθ from the trigonometric identity is equal to -21/29
Data;
sin(0) = 20/29quadrant = 2nd quadrantPythagorean TheoremThis formula is used to find the missing side of a right angle triangle.
This is given as
[tex]hypothenuse^2 = adjacent^2 + opposite^2[/tex]
But in trigonometric ratio, the sine ratio is
[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]
This implies that
opposite = 20hypothenuse = 29adjacent = ?Let's find the adjacent using Pythagorean theorem
[tex]x^2 = y^2 + z^2\\29^2 = 20^2 + z^2 \\z^2 = 29^2 - 20^2\\z^2 = 441\\z = \sqrt{441} \\z= 21[/tex]
Now that we know the value of adjacent,
The value of cos(0) will be
[tex]cos \theta = \frac{adjacent}{hypothenuse} \\cos \theta =- \frac{21}{29}\\[/tex]
Note: The negative sign in front of the ratio indicates the fact that in the second quadrant, only sine theta is positive, the rest are negative.
The value of cosθ is equal to -21/29
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Find the surface area. HELP PLEASE!!!
answer:
219
Step-by-step explanation:
(base * height) + length (4 + 5 + 6)
24 + 13 (15)
219
"Ready
Vicki sketches a right triangle with legs of lengths x and y and a hypotenuse of length z. She writes an equation that
relates x, y, and z. Then, she writes an expression for the length of the hypotenuse. Which expression does she write?
x² + y²
C
x? + 22
/xty
Answer:
sqrt(x^2+y^2)
Step-by-step explanation:
x^2+y^2=z^2 (Pythagorean theorem)
sqrt(x^2+y^2)=sqrt(z^2)
sqrt(x^2+y^2)=z
ANSWER FAST PLEASE
what is the degree of the polynomial
Answer:
The degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).
Step-by-step explanation:
ere, the term with the largest exponent is , so the degree of the whole polynomial is 6.
A construction company makes cement stairs from a wooden mold. The construction company must calculate the volume of the mold to determine how much cement they need to create the stairs.
What is the volume of the wooden mold?
A.
7,000 in3
C.
6,000 in3
D.
9,000 in3
Considering the volume of a rectangular prism, it is found that the volume of the wooden mold is given by:
C. 6,000 in³
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and height h is given by:
[tex]V = lwh[/tex]
In this problem, the wooden mold is composed by two rectangular prisms:
The first has dimensions of 25 in, 10 in and 12 in.The second has dimensions of 20 in, 12 in and 12 in.Hence the volume in cubic inches is given by:
[tex]V = 25(10)(12) + 20(12)(12) = 5880[/tex]
Rounding, it is closest to 6000 in³, hence option C is correct.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS MATH QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER. To the nearest whole number what is the area of the regular hexagon?
______units squared
Answer: 42
Step-by-step explanation:
if there are 5 students who like singing and 4 students who have pets what fraction of students like to sing?
5/1
Step-by-step explanation:
you get the whole number which is 5, turn it into a fraction which is 5/1 and it says 5 students like to sing.
I hope this helped
#5/1 is answer
The population of Florida has increased, on average, at a rate of 8% per year since 1953. In 1993, the population of Florida was 13 million.
What was the population in 1953?
Answer: The human population in 1953 was 598 people.
Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.
Answer:
[tex]\textsf{area of a sector}=\dfrac{\theta\pi r^2}{360\textdegree} \mathsf{\ \ (where\ \theta \ is\ in\ degrees)}[/tex]
Given:
radius (r) = 6 cm[tex]\theta[/tex] = 60°[tex]\implies \textsf{area}=\dfrac{60\textdegree \times\pi \times 6^2}{360\textdegree}[/tex]
[tex]\implies \textsf{area}=\dfrac{2160\pi}{360}[/tex]
[tex]\implies \textsf{area}=6\pi \textsf{ cm}^2[/tex]
[tex]\implies \textsf{area}=18.85\textsf{ cm}^2 \textsf{ (nearest hundredth)}[/tex]
Does anyone know how to do this?
Answer:
y = - 3x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10 - 3x = - 3x + 10 ← is in slope- intercept form
with slope m = - 3
y = - 6x - 4 ← is in slope- intercept form
with y- intercept c = - 4
then equation of required line is
y = - 3x - 4
Hello!
The slope of the first line is -3.
The y-intercept of the second line is -4.
How did I identify the slope & y-intercept?
Let me share my "secret"
Well, both equations are written in slope-intercept form (y=mx+b)
where m = slope & b = y-intercept.
Now you know ;-)
Anyway, the new line should have the same slope as the first line (-3)
And the y-intercept of the second line is -4.
So the equation is
y=-3x-4
Hope everything's clear!
#KeepLearning
Nicole deposits $600 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 5 years?
Answer:
Donna will be paid
$
80
as interest.
Explanation:
S
I
=
P
×
R
×
T
100
Applying the formula for simple interest we get:
S
I
=
800
×
2
×
5
100
S
I
=
8
00
×
2
×
5
1
00
S
I
=
8
×
2
×
5
S
I
=
80
Step-by-step explanation:
Answer:
$80
Step-by-step explanation:
Did this question in class before ;D
Write your answer as an ordered pair (x,y)
See both lines are parallel
Means
Slopes are equal .If slopes are equal then x and y coefficients are equal.
So No solutions
-3 |2x-1| = -15
Solve for X.
Answer:
download Goutmath try it .
Because Goutmath help you in math so try it
During a record setting rainfall, 0.057 inch of rain fell every
minute for 35 minutes. How much rain fell in 10 minutes?
Answer:
0.57 inches
Step-by-step explanation:
To find the quantity, multiply the rate by the time.
(0.057 in/min) × (10 min) = 0.57 in
At the given rate, 0.57 inches fell in 10 minutes.
What are the solutions to the equation below:
4x^x+1 = 5^-x
Answer:
I think it's E?
Step-by-step explanation:
hope this is right, if so then...
Pls, choose me as brainliest!