Answer:
9m³n⁴
Step-by-step explanation:
18m^5n^4 = 2×3² m^5n^4
45m^3n^6 = 3²×5 m^3n^6
GFC = 3² m³n⁴ = 9m³n⁴
josh is standing on the top of a building that is 425 feet tall. He throws a penny up into the air with an initial of 32 ft/sec. How long does it take for the penny to hit the ground?
Y = -4.9x^2 + 32x + 425
A. 10 seconds
B. 6.25
C. 400
D. 0 seconds
Answer:
A
Step-by-step explanation:
cause it will be more faster just because it is in a solid phase or it is solid
The time taken to hit the ground is 6.25 sec.(Option B)
How to calculate time?
It is given that penny follows the trajectory:
[tex]y = -4.9x^2 + 32x + 425[/tex]
Differentiating it we get:
[tex]\dfrac{dy}{dx} =-9.8x+32[/tex]
At y=425, it is obvious that x=0
So dy/dx at x=0 is 32.
Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).
Ф[tex]=\tan^{-1}(32)[/tex]
Vertical component=[tex]32*\sin(\tan^{-1}(32))[/tex]=31.98 ft/sec
Now applying the equation of motion: acceleration=-32ft/sec^(2)
u=31.98ft/sec s=-425 t=?
[tex]s=ut+\frac{1}{2} at^{2}[/tex]
[tex]-425=31.98t-16t^2[/tex]
[tex]16t^2-31.98t-425=0[/tex]
Solving the quadratic equation we get:
t=6.249 sec≅6.25 sec
Therefore, the time taken is 6.25 sec.
To know more about equation of motion refer:https://brainly.com/question/24966506
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True or False:
4x and 4x2 are like terms
Actually its false
In algebra 4x and 4x² are two different terms and are not like terms.
Must click thanks and mark brainliest
If you open an already created budget Excel spreadsheet, what is one feature it has when calculating amounts?
A) There isn't an already created budget Excel spreadsheet.
B) Formulas are already included that will calculate the totals for you.
C) You need to create formulas by yourself to calculate the totals.
D) You can use a calculator to add the numbers.
Formulas are already included that will calculate the totals for you.
Find the measures of angles 1, 2, and 3.
Two perpendicular lines cross each other. Another line rises from left to right intersecting the perpendicular lines where they both intersect. Angles labeled 1, 2, 3 and 57 degrees are shown. Angle 1 is opposite of angle 3. Angle two is opposite to a right angle. Angle 57 degrees plus angle 1 is a right angle. Angle 3 plus the angle opposite of angle 57 degrees is a right angle.
The following formula gives the area A of a trapezoid, where b and c are the bases of the trapezoid and h
is the height:
A=
(6+c)h
Rearrange the formula to highlight the height.
h
Answer:
[tex]h = \frac{2A}{b + c}[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}(b + c)h[/tex]
Required
Solve for h
We have:
[tex]A = \frac{1}{2}(b + c)h[/tex]
Multiply sides by 2
[tex]2A = (b + c)h[/tex]
Make h the subject
[tex]h = \frac{2A}{b + c}[/tex]
Resolve into factor :(a+b) ^3+1
Answer:
use the formula a^3+b^3= (a+b)-3ab(a+b)
in above question assume (a+b) as a and 1 as b
later in (a+b+1) take (a+b) as a and 1 as b
and use the formula (a+b)^2 = a^2+2ab+b^2
graph shown here is the graph of which of the following rational
functions?
Answer:
B) f(x) = 1/x-1
Step-by-step explanation:
You can type it into desmos graphing calculator- hope this helps
Option (B) is correct.
What is a graphing function?"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation"
For the given graph,
The functions are
(A) [tex]f(x)=\frac{1}{x}[/tex]
(B) [tex]f(x)=\frac{1}{x-1}[/tex]
(C) [tex]f(x)=\frac{1}{x+1}[/tex]
Plot all these functions in the graph. We can obtain the graph as shown for option (B).
Hence we can conclude that option (B) is correct.
Learn more about graphing functions here
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Find the measure of the indicated angle to the nearest degree 36
Answer:
47°
Step-by-step explanation:
cos ? = 36/53
? = arccos (36/53)
? = 47 (rounded to the nearest degree)
Answered by GAUTHMATH
what is the degree of the polynomial below
Answer:
d
Step-by-step explanation:
trust me gang
Answer:
the degree is the value of the highest exponent... 4x^3 the exponent is a three
answer "D"
Step-by-step explanation:
PLS HELP ME ON THIS ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU KNOW TGE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
LOL
Answer:
D. The over 30s have a larger range and interquartile range than the under 30s
Step-by-step explanation:
In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.
the perimeter of a right angled triangle is 60 cm and its area is 120cm².find the lengths of the triangle.
Step-by-step explanation:
The area of triangle given as 120 cm2
Area of Triangle = 1/2 x b x h = 120
therefore bxh = 240
240 can be factorized as 10 x 24
The perimeter of the triangle is given as 60
so the other side has to be 26 cm
As this is a right angle triangle it should satisfy pythagoras theorem
(10)2 + (24)2 = (26)2
100+576 =676
Hence the sides of the triangle are 10 cm, 24 cm and 26 cm
The chance of solving a problem by A and B is and 1/3 and 2/5 respectively. What is the probability the problem will be solved?
a)2/15
b)1
c)9/15
d)11/15
Books shows "c" as the answer.. I am confused..
We want to compute the probability P(A or B) because we could either solve it following path A, path B, or doing both paths.
P(A) = 1/3
P(B) = 2/5
P(A and B) = P(A)*P(B) assuming A,B are independent
P(A and B) = (1/3)*(2/5)
P(A and B) = 2/15
--------
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 1/3 + 2/5 - 2/15
P(A or B) = 5/15 + 6/15 - 2/15
P(A or B) = (5 + 6 - 2)/15
P(A or B) = 9/15
We could reduce this to 3/5, but it appears your teacher has chosen not to.
Find the area and the perimeter of a triangle (shown below)
PLZZZ
Answer:
A = 120, P = 55
Step-by-step explanation:
Triangle
Area = (bh)/2
A = (20x12)/2
A =240/2
A = 120
Perimeter = a + b + c
to find c, use a^2 +b^2 = c^2
20^2 + 12^2 = c^2
400 + 144 = c^2
544 = c^2
c = about 23
20 + 12 + 23 = 55
I need help with this someone help me out
Answer:
answer is 10 (very easy)
Answer:
380. 1
Step-by-step explanation:
A=π r2=π. 11^2= 380.13271
David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car. Write a function that represents the value of David's car, V(t), after t years.
Answer:
V(t) = 14,000(0.89)^t
Step-by-step explanation:
Present value of the Dodge Challenger = $14,000
Present percentage value = 100%
Depreciation value = 11%
Number of years = t
Future value = V(t)
V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t
= 14,000(100% - 11%)^t
= 14,000(89%)^t
= 14,000(0.89)^t
V(t) = 14,000(0.89)^t
Review the table of values for function f(x).
Which number is the value of f^-1(-2)?
O -8
O -7
O 1/8
O 1
Answer:
1/8
Step-by-step explanation:
f^-1 part makes it into a fraction
Evaluate the following
expression using x = 6:
8(3x + 1)
Anyone know the answer
Answer:
152
Step-by-step explanation:
Substitute the given value for x.
[tex]8(3(6)+1)\\8(18+1)\\8(19)\\152[/tex]
Answer:
152
Step-by-step explanation:
8(3x+1)
Let x = 6
8(3*6+1)
Multiply inside the parentheses
8(18+1)
Add inside the parentheses
8(19)
Multiply
152
-4 = -2/u solve for U
PLSSSS HELP ME I NWWD THIS OR ELSE I FAIL
Answer:
-4= -2/u
or, -4u= -2
or, u= -2/-4
u=1/2
how do you solve for y?
help solve for x pt2.
Answer:
x p t^2
p = 0
t = 0
x = 0
Δ = 0
Paridad
extraño
d/dx(x p t^2) = p t^2
Step-by-step explanation:
regroup and factorise:
x(x+2)+x+2
⇒x (x+2) + x + 2
⇒x² + 2x + x + 2
⇒x² + 3x + 2
✯ Now factorising☛ By Splitting the middle term method
⇒x² + 3x + 2
⇒x² + 2x + x + 2
⇒ x(x+2)+1(x+2)
⇒ (x+1) (x+2)
Explain the steps necessary to convert a quadratic function in standard form to vertex form.
Answer:
A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.
Step-by-step explanation:
Answer:
A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.
Step-by-step explanation:
Sample response
a piece of work can be done by 24 men in 15 days.in how many days can 18 men do the same work?
18 people is 25% less people so will take 25% longer
25% of 15 is 3.75
3.75+ 15 = 18.75 days ?
PLS HELP ME!!- What is the total cost for 4.6 pounds of blackberry jam and 1.6 pounds of blueberry jam? boysenberry jam $5/1b blackberry jam $5/1b raspberry jam $7/1b apple butter $3/1b marmalade $3/1b blueberry jam $8/1b Submit I don't kn
Answer:
total blackberry: $23
total blueberry: $12.80
total: $35.80
Step-by-step explanation:
the blackberry jam is $5/lb
therefore, 4.6 pounds of it -
5 x 4.6
=23
the blueberry jam is $8/lb
using the same method we do
8 x 1.6
=12.8
adding the two totals -
23 + 12.8 = 35.8
in other words, the two jams will be $35.80
Find the measure of the indicated angle to the nearest degree.
Answer:
? ≈ 37°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex] , then
? = [tex]cos^{-1}[/tex] ([tex]\frac{4}{5}[/tex] ) ≈ 37° ( to the nearest degree )
A factory inspector found flaws in 3 out of 18 wooden boxes. What is the experimental probability that the next wooden box will be flawed?
Write your answer as a fraction or whole number.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{6}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A rectangle has a perimeter of 50m, the ratio between the two side is 32 . Caculator the area of that rectangle?
Answer:
Area of rectangle = 150 cm
Step-by-step explanation:
Given the following data;
Ratio = 3:2 Perimeter = 50mTo find the area of the rectangle;
First of all, we would determine the dimensions (length and width) of the rectangle;
For length;
Length, L = 2x
For width;
Width, W = 3x
Mathematically, the perimeter of a rectangle is given by the formula;
P = 2(L + W)
50 = 2(2x + 3x)
50 = 2(5x)
50 = 10x
x = 50/10
x = 5
Length, L = 2x = 2 * 5 = 10 cm
Width, W = 3x = 3 * 5 = 15 cm
Now, we would find the area of the rectangle;
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Area of rectangle = 10 * 15
Area of rectangle = 150 cm
Find the missing side. Round it to the nearest tenth
In Circle H with m<GKJ=38, Find the m<GHJ
Answer:
the angle GHJ would be 76 because the central angle is always double the measurement of the inscribed angle
What is the quotient?
(-3)
(-3)²
O-9
1
o
1
9
100
O 9
Answer:
(-3)
Step-by-step explanation:
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