[tex]\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }[/tex]
[tex]\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}[/tex]
What is the measure of 1
Answer:60
Step-by-step explanation:The measure of 1 is 60 because it's only half the size of 120
can anyone heelp me pls pls
Answer:
Lotion - liquid
Suspension - semisolid
Capsule - solid
Step-by-step explanation:
Lotion is a liquid that we put on our skin.
Suspension is a semisolid because it can get moved out of shape
A capsule is a solid that is a strong hard cylynder.
If this isn't right maybe flip lotion with suspension
a shelf is 24 inches
Answer:
Step-by-step explanation:
can you help me pls
¿Qué es y cómo se forman un enlace químico?
the nth term of a sequence is n(n-8)÷√n+3
find the 1st and 6th terms
Answer:
-4 and -2✓6+3
Step-by-step explanation:
use pemdas
1(1-8)÷✓1 + 3
-7÷1+3
-4
6(6-8)÷✓6+3
-12÷✓6+3
multiply fraction by ✓6 on bottom and top to get rid of square root on bottom
-12✓6÷6+3
divide -12 by 6 and put radical next to it
-2✓6+3
840/1152 simplified please
[tex] \bf \frac{840}{1152}^{(4} = \frac{210}{288}^{(6} = \frac{35}{48}[/tex]
Hello!
[tex]\frac{840}{1152}[/tex]
Divide by 2:
[tex]\frac{420}{576}[/tex]
Divide by 2 again because the fraction is not in its simplest form:
[tex]\frac{210}{288}[/tex]
Divide by 2 again:
[tex]\frac{105}{144}[/tex]
Divide by 3:
[tex]\frac{35}{48}[/tex]
And we are done! Hope this helps!
~Just a joyful teen
[tex]SilentNature\\(GraceRosalia)[/tex]
Find the 68th term of the following arithmetic sequence.
16, 23, 30, 37,
Answer:
485
Step-by-step explanation:
first term = 16
second term = 23
common difference= second -. first
=23-16
=7
68 term= a + 67d
=16+67×7
=16 +469
=485
Please help!
In the figure below, P is the midpoint of LM, and Q is the midpoint of MN. Use the Midpoint formula to find the location of point P and point Q.
Answer:
P= (5.5, 8)
Q=(8.5,5)
Step-by-step explanation:
Coordinates of L: (2,7)
Coordinates of M: (9,9)
Coordinates of N: (8,1)
Midpoint formula is: [tex]\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]
P is the midpoint of LM, so the coordinates of P will be ((2+9)/2,(7+9)/2)
P's coordinates are (5.5, 8)
Q is the midpoint of MN, so the coordinates of Q will be ((9+8)/2,(9+1)/2)
Q's coordinates are (8.5,5)
A boat sails directly toward a 250-m skyscraper that stands on the
edge of a harbor. The angular size of the building is the angle
formed by lines from the top and bottom of the building to the
observer (see figure). Complete parts (a) and (b) below.
a) The value of [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]
b) The rate of change of the angle with respect to x is -0.000308rad/m
Find the complete question and diagram attached
Form the right-angled triangle shown:
Adjacent side = x
Opposite side = 250m
angle of elevation = [tex]\theta[/tex]
Using the SOH CAH TOA identity
[tex]tan\theta = \frac{opposite}{hypotenuse} \\tan \theta = \frac{250}{x} \\\theta = tan^{-1}\frac{250}{x}[/tex]
Hence the value of [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]
b) If x = 450m
[tex]\theta = tan^{-1}\frac{250}{x}\\tan \theta = \frac{250}{x}\\[/tex]
Differentiate both sides with respect to "x"
[tex]sec^2 \theta \frac{d\theta}{dx} = \frac{-250}{x^2} \\ \frac{d\theta}{dx} = \frac{1}{sec^2\theta} \times \frac{-250}{x^2}[/tex]
Substitute x = 450m and [tex]\theta = 60^0[/tex] into the resulting expression to have:
[tex]\frac{d\theta}{dx} = \frac{1}{sec^260^0} \times \frac{-250}{450^2}\\\frac{d\theta}{dx} = (cos60)^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} = 0.5^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} =-0.000308[/tex]
Hence the rate of change of the angle with respect to x is -0.000308rad/m
Learn more here: https://brainly.com/question/15580615
150 miles on 4 gallons of gas. How many miles for 1 gallon of gas?
Answer: answered
A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Hint: 1 mile is approximately 1.6 kilometers)
Step-by-step explanation:
Answer:37.5
Step-by-step explanation:
please help me with this sum
its upsidedown what are you doing
Show your solution follow the steps need an answer, please need an answer, please.
Answer:
Step-by-step explanation:
27 ) 2x² - x - 1 = 0
2x² - 2x + x - 1 = 0
2x ( x - 1) + (x - 1) = 0
(x - 1)(2x + 1) = 0
x - 1 = 0 ; 2x + 1 = 0
x = 1 ; 2x = -1
x = -1/2
x = 1 ; -1/2
Option b
28) Area of a rectangle = 24 cm²
length * width = 24
(3x +2 )(2x -1) = 24
3x(2x -1) + 2(2x - 1) = 24
3x *2x - 3x *1 + 2*2x - 2*1 = 24
6x² -3x + 4x - 2= 24
6x² + x - 2 -24 = 0
6x² + x - 26 = 0
6x² -12x + 13x - 26 = 0
6x(x - 2) + 13(x - 2) = 0
(x -2)(6x +13) = 0
x = 2 {Ignore 6x + 13 as it gives negative value}
length = 3x + 2 = 3*2 + 2 = 6 + 2 = 8 cm
Width = 2x - 1 = 2*2 - 1 = 4 - 1 = 3 cm
29) Area of square = 900 cm²
Side² = 900
(5x)² = 900
25x² = 900
x² = 900/25
x² = 36
x = √36 = √6*6
x = 6 cm
30) base = b cm
height = b + 2
Area of triangle = 24 cm²
[tex]\dfrac{1}{2}base*height = 24\\\\\dfrac{1}{2}*b*(b+2) = 24\\[/tex]
b(b + 2) = 24*2
b² + 2b = 48
b² + 2b - 48 = 0
b² - 6b + 8b - 48 = 0
b(b - 6) + 8(b - 6) = 0
(b - 6) (b + 8) = 0
b - 6 = 0 {Ignore b +8 = 0 as it gives negative value}
b = 6 cm
height = 6+ 2 = 8 cm
You rotate triangle DEF with coordinates D(-2, 2), E (1,5), and F(4, -1) 90° counterclockwise about the origin.
Answer:
70
Step-by-step explanation:
Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).
When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:
⇒ Vertex D(-2, 2) becomes D'(-2, -2),
⇒ Vertex E(1, 5) becomes E'(-5, 1),
⇒ Vertex F(4, -1) becomes F'(1, 4),
This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.
Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).
Learn more about Rotation here
https://brainly.com/question/28832360
#SPJ3
What is the unit cost per bottle if a pack of 12 bottles of juice sells for $6? (1 point)
$0.50 per bottle
$0.72 per bottle
$5.00 per bottle
$7.20 per bottle
Step-by-step explanation:
12 bottles = $6
1 bottle = 6/12
= $0.50 per bottle.
Hope it helps :)
HELPS! TYS IF U DOESSSSS
I WILL GIVE BRAINILEST!!!!!!!!!
Answer:
C. HI my other account:P
Step-by-step explanation:
help please
Make up two equations, one that is true and one that is false. State which equation is true and which is false.
Answer:
57+20= 90 (false)
40+39= 79 (true)
Answer:
14 * 9(-9) - 8 = 1142 9 - 45(-3) + 7 = 151
Step-by-step explanation:
14 * 9(-9) - 8 = 1142 9 - 45(-3) + 7 = 151
(This one is true) (This one is false)
what is rhe vertex of the graph of the function f(x)=x²+6x+9
In a school 2/3 parts of the total numbers of students. 3/10 parts are between 8 to 12 years and the remaining are above 12 years . What parts of the students are above the age of 12 years.
ans:3/10
3/10
As you know the answer already I don't think you need any further explanation :)
Pls help on this khan a. homework
Answer
The answer is C
Explanation:
1.2 divided by 4 = 0.3
2.4 divided by 8 = 0.3
3.9 divided by 13 = 0.3
**hope this helps.... brainly please if possible
HI i need help wit this work
Answer:
1/6 in 1/2 = B
1/6 in 2/3 = C
1/4 in 1/2 = D
1/9 in 1/3 = A
Step-by-step explanation:
Find the product of 44.6 and 2.24.
(Show your work)
Answer:
46.84
Step-by-step explanation:
Add the decimals first to get .84 then add the real numbers to get 46.
please help this is super urgent!!!
Choose the correct description of the graph of the compound inequality: (5 points) 3x + 1 > 7 and 4x less than or equal to 24
Answer:
A number line with an open circle on 2, a closed circle on 6, and shading in between
Step-by-step explanation:
Given:
3x+1 > 7 → inequality A
4x ≤ 24 → inequality B
Step 1
Solve inequality A
3x+1>7
3x>7-1
x>2
the solution is the interval------> (2,∞)
Step 2
Solve inequality B
4 x ≤ 24
4 ≤ 6
the solution is the interval------> (-∞,6]
Step 3
Find the solution of the compound inequality
Solution A ∩ Solution B
(2,∞) ∩ (-∞,6]=(2,6]
therefore
The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between
Answer:
Your answer would be a number line with an open circle on 2, a closed circle on 6, and shading in between.
Step-by-step explanation:
i.e. it could also be written as:
3x + 1 > 7
3x > 7 - 1
3x > 6
x > 2
And the second inequality is:
4x < 24
4x < 6
Hence, the compound inequality could be represented as:
x>2 i.e. (2,∞)
and x≤6 i.e. (-∞,6]
Hence, the feasible region or the region that is common to both the inequalities is:
(2,6]
Hence, there will be a number line with open circle at 2 since 2 is not included in the domain and a closed circle at 6 and shading in between
given the drawing below what is the difference between angle D and angle B
Answer:
given the drawing below what is the difference between angle D and angle B
Step-by-step explanation:
Which among the following is the solution to
4x -10 < 14
the equation
Select the correct response:
a. x<5
b. X>6
c. X<6
d. x>5
Answer:
4x - 10< 14
4x < 14 + 10
4x < 24
x < 6
from the answer c is the correct option.
A boy needs to grill 13 pounds of meat for a cookout. Determine the Maximum cost per pound that he can afford if he wants to spend the most $70 on his meat purchase
Answer:
$5.38 per pound
Step-by-step explanation:
70/13=5.384615
5.38x13=69.94
7 and a number equals 21
Answer:
7x3=21
Step-by-step explanation:
7+7+7=21, 7x3=21
Write and simplify an expression for the difference between the perimeters of the rectangle and the hexagon
Answer:
hey man i need a screenshot or something
Step-by-step explanation:
HELP LAST ATTEMPT ??!!
Answer:
x=26
Step-by-step explanation:
x+11+2x+1+90=180 [Angles in a straight line]
3x=180-102
x=78/3
x=26
or,
x+11+2x+1=90 [Complementary angles]
3x=90-12
x=78/3
x=26
Kenji and Alec are making paper kites for a kite fight, Kenji's kite is a rectangle and Alec's kite is a
parallelogram that is not a rectangle. Each boy draws
a model of his kite on grid paper. Does Alec's kite use
more paper than Kenji's kite?
Answer:
No
Step-by-step explanation:
Kenji's kite uses more paper
Pls help I need a good grade I’ll add extra points
Answer:
i
Step-by-step explanation:
you have to write about the remaining people if they had gas problems and write what happened next maybe he was arrested for the sauce made Thanks
