Polynomial degree : 2
Leading coefficient : 11
Answer:
The degree of the polynomial is 4.
The leading coefficient of the polynomial is 12.
Step-by-step explanation:
The degree of the polynomial is the highest power in the polynomial.
The highest power in the given polynomial is 4.
The leading coefficient of the polynomial is 12.
The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?
Answer:
These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly
Step-by-step explanation:
10. Both x and y vary inversely with each other. When x is 10, y is 6,which of the following is not a possible pair of corresponding values of x and y? (A) 12 and 5 (B) 15 and 4 (C) 25 and 2.4 (D) 45 and 1.2
expain me
mods plz answer
9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.
3. What is the volume of the regular pyramid?
Answer: 80 cubic meters (choice B)
==============================================================
Explanation:
The floor of the pyramid is a pentagon made of five congruent isosceles triangles as shown in the diagram below. Each triangle has a base of 6 meters and height 2 meters. The base and height are always perpendicular.
Each triangle mentioned therefore has area base*height/2 = 6*2/2 = 12/2 = 6 square meters. Five such triangles results in a total area of 6*5 = 30 square meters. This is the area of the pentagonal floor.
We'll multiply this area by the height of the pyramid (8 meters) and then take 1/3 of this to get the pyramid's volume
volume = (1/3)*(area of floor)*(height of pyramid)
volume = (1/3)*(30)*(8)
volume = 10*8
volume = 80 cubic meters
Given Isosceles Trapezoid TRAP, if mP=98, find mT
Answer:
∠ T = 82°
Step-by-step explanation:
In a Isosceles trapezoid, any lower base angle is supplementary to any upper base angle , so
∠ T + ∠ P = 180°
∠ T + 98° = 180° ( subtract 98° from both sides )
∠ T = 82°
what does range mean in maths
Is there a way to solve this without l'hopital's rule?
The conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule,
How to solve the limit expression?The limit expression is given as:
[tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex]
The limit of the expression cannot be solved without l'hopital's rule, because a direct substitution of ∞ for x would result in the following expression ∞/∞
i.e.
[tex]\lim_{x \to \infty} \frac{6 (2^{\infty}) - 1}{5(\infty)^2+ 10} = \frac{\infty}{\infty}[/tex]
So, the best way is to apply the l'hopital's rule.
This is done as follows:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \lim_{x \to \infty} \frac{f'(x)}{g'(x)}[/tex]
When the numerator and the denominator are differentiated, we have:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln(2)\cdot 2^{x + 1}}{10x}[/tex]
Further, differentiate
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{x + 1}}{10}[/tex]
Now, we can substitute [tex]\infty[/tex] for x
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{\infty + 1}}{10}[/tex]
Evaluate the numerator
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{\infty}{10}[/tex]
Evaluate the quotient
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \infty[/tex]
Hence, the conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule
Read more about l'hopital's rule at:
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please answer correctly and i will give 10 extra points
Answer:
I believe the answer would be 48.6 milliliters
Step-by-step explanation:
54 * 0.9 = 48.6
.help me with the question of math
No link
Answer:
I doubt it is not going to be a great
Step-by-step explanation:
the same time as a child support of the year old girl I don't know what you think about it is not going to
PLEASE ANSWER WITH ALL THE MATH
Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?
9514 1404 393
Answer:
Jacob: 4his mother: 39Step-by-step explanation:
Let J and M represent the current ages of Jacob and his Mother.
currently:
M = 3 +9J
in 11 years:
M+11 = 5 +3(J+11)
Using the first equation to substitute for M in the second, we have ...
(3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M
9J +14 = 3J +38 . . . . . . simplify
6J + 24 . . . . . . . . . . subtract 3J+14
J = 4 . . . . . . . . . . divide by 6
M = 3 +9(4) = 39
Jacob is 4 and his mother is 39.
5. In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the angles is given Hence find the measures of the following angles (1) LART (ii) ZCTO (iii) ZDTO (iv) ZPRB
15. In a school, the ratio of boys and girls is 4:5, when 100 girls leave the school, the ratio becomes 6:7. How many boys are there in the school
Step-by-step explanation:
the ratio of boys and girls is equal to 4:5
let the number of boys be x
and the number of girls be y
so form 1st statement
x:y=4:5
now 2nd statements
x:y-100=6:7
Therefore solving equations 1 and 2
x=1200
y=1500
Please help me with these two Algebra problem. Thanks
Problem 1:
If two half planes never intersect, then their system of inequalities has no solution. True or False?
Problem 2:
If the boundary lines of two half planes are parallel, then they have no solution area. True or False?
Please answer as quick as possible and please answer as
Example:
True, because . . . .
Thanks again!!
Step-by-step explanation:
First, a half plane can be defined as one side of a line, e.g. x < y-3.
1: True. A solution to two half planes is where the two half planes intersect. If they never intersect, then there literally cannot be a solution.
2: False. Take, for example, y=x and y=x+1. These two lines are parallel because in the equation y=mx+b, m represents the slope, and in these two lines, x is multiplied by 1, so both lines have the same slope and are therefore parallel. Then, take two boundary planes -- y > x and y>x+1. If we graph this out (see picture), the planes clearly intersect when y>x+1. The solution is where the planes intersect, so there is a solution area
In the figure, m_2 = 75. Find the measures of the
remaining angles.
PA
Х
1/2
4/3
-m
5/6
8/7
-N
Answer:
Step-by-step explanation:
If angle 2 is 75, the other angles that are also 75 are angles 4 (it's vertical to angle 2), angle 6 (it's corresponding to angle 2), angle 8 (it's alternate exterior to angle 2). All the other angles measure 180 - 75 which is 105.
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
Step-by-step explanation:
I may get this wrong because I don't think it's clear enough.
3 Letters
The station call letters must start with 1 of 3 letters
3
The next letter must be one of 25 and the last letter is 24
3 * 25 * 24 = 1800
5 letters
3 * 25 * 24 * 23* 22 = 910800
Total 1800 + 910800 = 912600
The midpoint of A (-4, 2) and B(8,5) is
O (2,7/2)
O (-6, 3/2)
O (4,7/2)
Answer:
(2,7/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-4+8) /2 = 4/2 =2
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(2+5) /2 = 7/2 =
The midpoint is (2,7/2)
Answer:
(2, [tex]\frac{7}{2}[/tex])
Step-by-step explanation:
Hi there!
We want to find the midpoint of (-4,2) and (8,5)
To do that, we'll use the midpoint formula, which will find the midpoint using the formula ( [tex]\frac{x_1+x_2}{2}[/tex],[tex]\frac{y_1+y_1}{2}[/tex]), where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion
[tex]x_1[/tex]=-4
[tex]y_1[/tex]=2
[tex]x_2[/tex]=8
[tex]y_2[/tex]=5
Now substitute those values into the formula and solve
To find the value of the x-coordinate of the midpoint, use [tex]\frac{x_1+x_2}{2}[/tex]
x=[tex]\frac{-4+8}{2}[/tex]
Add the numbers together on the numerator
x=[tex]\frac{4}{2}[/tex]
Divide
x=2
The value of the x-coordinate is 2
Now find the value of the y coordinate by using [tex]\frac{y_1+y_1}{2}[/tex]
y=[tex]\frac{2+5}{2}[/tex]
Add the numbers together on the numerator
y=[tex]\frac{7}{2}[/tex]
So the point is (2, [tex]\frac{7}{2}[/tex])
Hope this helps!
What is the volume of the pyramid below?
Answer:
56 m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 7 m
Volume = 24×7/3
= 56 m³
Answered by GAUTHMATH
I need help with all 4
For # 31 - 34, solve the equation for the unknown variable.
What type of line is PQ?
A. angle bisector
B. side bisector
C. altitude
D. median
Answer: Segment PQ is a median
Step-by-step explanation:
A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side. This means segment PQ has to be a median for it meets the criteria of a median.
The segment PQ is a median.
A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side.
What is the median?
The median is the middle number in a sorted, ascending, or descending list of numbers and can be more descriptive of that data set than the average.
This means segment PQ has to be a median for it meets the criteria of a median.
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Find the distance between points (a,b) and Q -a,-b)
Answer:
d = 2* sqrt(a^2 + b^2)
Step-by-step explanation:
Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.
P = (a,b)
Q= (-a,-b)
x1 = a
x2 = - a
y1 = b
y2 = - b
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
d = sqrt( (-a - a)^2 + (-b - b)^2 )
d = sqrt ( -2a)^2 + - (2b)^2 )
d = sqrt(4a^2 + 4b^3)
d = 2* sqrt(a^2 + b^2)
Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ 25 đơn vị thì số thứ nhất sẽ bằng 2/3 số thứ 2
Trả lời:
86 và 91
Giải thích từng bước:
Cho hai số là x và y. Nếu tổng của chúng là 177, thì;
x + y = 177 ... 1
Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17
Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25
Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:
x-17 = 2/3 (y + 25) .... 2
Từ 1, x = 177-y ... 3
Thay thế 3 thành 2
177-y-17 = 2/3 (y + 25)
160-y = 2/3 (y + 25)
3 (160-y) = 2 (y + 25)
480-3y = 2y + 50
-3y-2y = 50-480
-5y = -430
y = 430/5
y = 86
Vì x = 177-y
x = 177-86
x = 91
Do đó hai số là 86 và 91
What is 9.4582 rounded to 1?
Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.
I hope this helps
factorize. (x+y)) ^24x^2y^2
Answer:
I guess this is the answer
Step-by-step explanation:
(x + y)²4x²y²
= [2xy(x + y)]²
= (2x²y²)²
at what rate of interest the sum of Rs 4000 amount to rs 6000 in 4 years
interest=4000
amount =6000
time =4yr
principal =6000-4000
=2000
interest=principal×time×rate/100
4000= 2000×4×r/100
4000=8000×r/100
r=8000-4000/100
r=2000/100
r=20
Answer:
12.5 %
Step-by-step explanation:
I = PRT
I is the interest, P is the Principle, R is the Rate and T is the time
The interest is 6000- 4000 = 2000
2000 = 4000* R *4
2000 = 16000R
Divide each side by 16000
2000/16000 = R
.125 = R
Changing to percent form
12.5 %
to
52°
38°
142
x =
degrees
Answer:
X= 128degrees
Step-by-step explanation:
As, angles 52,38,142and X making 360 degree
52 +38+142+x=360
X=128
⇛ ∠ x° and ∠ 52° (Both are linear pairs).
A linear pair is a pair of adjacent angles formed when two lines intersect.
The sum of angles of a linear pair is always equal to 180°[tex] \bf \large \implies \: \angle \: x \: + \: \angle \: 52 \: = \: 180 \degree[/tex]
[tex]\bf \large \implies \: \angle \: x \: = \: \: 180 \degree \: - \: \angle \: 52 \:[/tex]
[tex]\bf \large \implies \: \angle \: x \: = \: 128 \degree[/tex]
4. What is the volume of the pyramid?
7 ft
9 ft
10 ft
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
B
Step-by-step explanation:
2 units to the right -> -2 in the brackets next to x
4 units down -> -4 as a constant at the end of the equation
[tex]4x+2=2(x+6)[/tex]
Solve for x.
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2 = 2(x + 6)[/tex]
[tex]4x + 2 = (2 * x) + (2 * 6)[/tex]
[tex]4x + 2 = 2x + 12[/tex]
Step 2: Subtract 2 from both sides
[tex]4x + 2 - 2 = 2x + 12 - 2[/tex]
[tex]4x = 2x + 10[/tex]
Step 3: Subtract 2x from both sides
[tex]4x - 2x = 2x - 2x + 10[/tex]
[tex]2x = 10[/tex]
Step 4: Divide both sides by 2
[tex]2x / 2 = 10 / 2[/tex]
[tex]x = 5[/tex]
Answer: [tex]x = 5[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\4x + 2 =2(x+6)\\------------\\\rightarrow 4x + 2 = 2x + 12\\\\\rightarrow4x - 2x +2 = 2x - 2x + 12\\\\\rightarrow 2x + 2 = 12\\\\\rightarrow2x + 2 - 2 = 12 - 2\\\\\rightarrow 2x = 10\\\\\rightarrow \frac{2x=10}{2}\\\\\rightarrow \boxed{x = 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
highest common factor of 28,40,12 and 24
Answer:
4
Step-by-step explanation:
We want to find the highest common factor
Breaking them into factors
28 = 4*7 = 2*2*7
40 = 4*10 = 2*2*2*5
12 = 4*3 = 2*2*3
24 = 3*8 = 3*2*2*2
The factor that appears in all is 2*2
2*2 =4
Answer:
4
Step-by-step explanation:
28÷4=7
40÷4=10
12÷4=3
24÷4=6
7, 10, 3 and 6 cannot be divided by any same number.
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
y = -2x + 5
[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2
Step-by-step explanation:
Find the surface area of the figure.
12 in.
SA = [ ? ]in.?
5 in.
16 in.
Answer:
SA = 664 in.²
Step-by-step explanation:
Surface area of the rectangular prism = 2(LW + LH + WH)
Where,
Length (L) = 16 in.
Width (W) = 5 in.
Height (H) = 12 in.
Substitute the values
Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)
= 2(80 + 192 + 60)
= 2(332)
= 664 in.²
