HELP!!! What are the quotient and remainder when x^3 + 9x^2 + 21x + 24 is divided by x + 2? PLEASE HELP
Answer:
A) The quotient is x^2+7x+7 and the remainder is 10.
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
If x = t^3 and y = t^2 - 2 , what is y in terms of x?
Answer:
E
Step-by-step explanation:
You have to get t^2 in the first equation.
x = t^3 Take the cube root of both sides
[tex]\sqrt[3]{x} = \sqrt[3]{t^3}[/tex]
[tex]\sqrt[3]{x}=t[/tex] Now square both sides
[tex](\sqrt[3]{x})^2 = t^2[/tex]
[tex]x^\frac{2}{3} = t^2[/tex]
Now you can substitute into the second equation
y = t^2 - 2
y = [tex]x^\frac{2}{3}[/tex] - 2
E
A bucket that has a mass of 20 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.4 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 16 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.
Find the work done lifting the bucket (sand and rope) to the top of the building.
Answer:
W=2001.24 newton meters
Caution: check units and arithmetic - I often make errors.
Step-by-step explanation:
Work is force times distance.
Denote height by h where h=0 is at ground level.
Denote the mass of the bucket and rope at height h by m(h).
The rate at which the bucket loses mass with height is (20-16)/10=0.4 kg/m
The rate at which the rope between the bucket and the top of the building loses mass is 0.4 kg/m
The initial mass of the bucket and rope is
[tex]m_{0}=20+0.4+0.4(10)=24.4[/tex]
The mass at height h is
[tex]m(h)=24.4-0.8h[/tex]
The force required at height h is
m(h)g
where g is the gravitational acceleration.
g=9.81 meters/sec/sec
The work required is
[tex]\int\limits^b_a {m(h)g} \, dh[/tex]
Where a=0 and b=10
[tex]g\int\limits^b_a {(24.4-0.8h)} \, dh=g(24.4h-0.4h^2)\left \{ {{10} \atop {0}} \right.[/tex]
g(244-40)=204g
W=2001.24 newton meters
help me on this.
what can be used in step 3?
Step-by-step explanation:
answer is been attached, hope u understand
complete the number sentence to solve 9 boys share 7 pizzas equally how many pizzas does each boy get
Answer:
Well theyd fight over who got the last slice and probably end up dropping it
Step-by-step explanation:
the actual answer is 4/9 of each pizza
Answer:
4/9
Step-by-step explanation:
hope this helps
The accompanying specific gravity values describe various wood types used in construction. 0.32 0.35 0.36 0.36 0.37 0.38 0.40 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.42 0.43 0.44 0.45 0.46 0.46 0.47 0.48 0.48 0.49 0.53 0.54 0.54 0.55 0.58 0.61 0.66 0.66 0.67 0.68 0.76 Construct a stem-and-leaf display using repeated stems. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stem
Answer:
Follows are the responses to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]Stem\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Leaf\\\\[/tex]
[tex]3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0,0,0,1,1,2,2,2,2,2,3,4\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8,8,8\\\\5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1,4,4\\\\[/tex]
[tex]5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,8\\\\6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6,6,7,8\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ NONE\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\[/tex]
The stem & leaf show demonstrates that 0.55 for both the data is indeed a reasonable value.
The probable outlier is the data value 0.76.
The variability of the techniques is relatively large.
It show isn't symmetrical and seems to be optimistic.
3 cos 2x + Sinx = 1 for
0° ≤x ≤ 360
Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
(Please heart the answer if you find it helpful, it's a motivation for me to help more people)
HEEEEEEEEEELPPPPPPP..................
Answer:
Step-by-step explanation:
(2,6) (4, 18)
(18 - 6)/(4 - 2) = 12/2= 6
slope: 6
y - 6 = 6(x - 2)
y - 6 = 6x - 12
y = 6x - 6
f(x) = 6x - 6 slope int form
y int (0, -6)
Plz answer I need help and it's due tomorrow
Answer:
8 √ 5
Step-by-step explanation:
find the sum of the term 8ab,- 11ab, 6ab
Answer:
do you mean 8ab-11ab+6ab
if it is then ur ans is 3ab
f(x)=2x^2-5 g(x)=5x+7
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Pls tell me the rest of the angles. Angle 1 is 112.9 degrees
1. 112.9
2. 67.1
3. 112.9
4. 67.1
hope that helped^^
CAN ANYONE PLEASE HELP IVE GOTTEN NONE AND WILL FAIL IF I DONT GET ANY
A ball is thrown into the air with an initial velocity of 30 meters per second.
The quadratic function h(t) = −4.9t^2 + 30t + 10 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Determine h(3) and explain what it represents.
Answer:
55.9
Step-by-step explanation:
The ball takes 3 seconds to go up 55.9 meters.
3^2=9
-4.9 x 9 = -44.1
30 x 3 = 90
-44.1 + 90 = 45.9
45.9 + 10 = 55.9
Tell whether the line or segment is best described as a radius, chord, diameter, secant, or tangent of ⨀P
Answer:
Chord: Secant: Tangent: Radius: Diameter: Using String to Draw a Circle Tell whether the line, ray, or segment is best described as and the radius and the diameter as lengths. P secant point of tangency tangent.
I would I simplify this ?
Consider the function f(x) =
9-x²/x² - 4
For which intervals is f(x) positive? Check all that apply.
1 (-00, -3) )
(-3, -2)
0 (-2, 2)
(2,3)
(00, 3)
Answer:
a c
Step-by-step explanation:
There are six checkout tills at a small supermarket. Two of the tills have comfy seats. What is the probability an employee will get a till with a comfy seat?
Give your answer as a fraction
Answer:
mhyjdhttugjfiydjydjy
Answer:
egrhvvfgwgetfj sgtuykyhdfv.
Step-by-step explanation:
sgdhfbf gbdvdvfdfvfvtv mgbjsg gfvthrAssume that two chords in a given circle are the same distance from the
center of the circle. Which of the following must also be true?
o
A. They must be diameters.
B. They must be parallel.
C. They must be congruent.
D. They must be perpendicular.
SNBMIT
The true statement the same distance from the center of the circle is they must be perpendicular.
We have given that,
Two chords in a given circle are the same distance from the center of the circle.
What is the condition for two chords to be congruent?If the two chords are congruent, then they must be equidistant from the center of the circle.
A is rejected because the chord might not pass through the center of the circle.
B is rejected because the chords are not obligated to be parallel.
C is rejected because it is not compulsory for the chords to be perpendicular.
To learn more about the perpendicular visit:
https://brainly.com/question/7098341
#SPJ2
Answer: C. They must be congruent.
Step-by-step explanation:
what two numbers multiple to -24 and add up to 2
Answer:
-4 and 6
Step-by-step explanation:
Vhat is the value of a in the equation 3 a+b=54, when b = 9?
O 15
O 18
O 21
0 27
what is 1+1 This isn't a trick question
Answer:
2
Step-by-step explanation:
A number that adds with 2/3 substrate 1/3 will be 8.What should be the number??
Answer:
The number is [tex]\frac{23}{3}[/tex]
Step-by-step explanation:
I am going to call the number x.
A number that adds with 2/3 subtract will 1/3 will be 8.
As an equation, this is:
[tex]x + \frac{2}{3} - \frac{1}{3} = 8[/tex]
Now we solve the equation to find x. So
[tex]x + \frac{2-1}{3} = 8[/tex]
[tex]x + \frac{1}{3} = 8[/tex]
[tex]x = 8 - \frac{1}{3}[/tex]
[tex]x = \frac{24}{3} - \frac{1}{3}[/tex]
[tex]x = \frac{24-1}{3}[/tex]
[tex]x = \frac{23}{3}[/tex]
The number is [tex]\frac{23}{3}[/tex]
which is larger 4.5 or 9/2
Answer:
Both are equal
4.5 = 9/2
4.5 = 4.5
Hope it will help :)
Answer:
They are equal
Step-by-step explanation:
When we simplify 9/2 and divide, we get the answer 4.5, which is equal to 4.5. Therefore, neither number is larger and they are equal, just written in different ways.
I hope this helps!
PLEASE SOMEONE HELP, I WILL FAIL IF I DONT GET THIS DONE, IVE GOTTEN NO HELP AND I ONLY HAVE 30 MINS FR REAL
Answer:
18m³ + 2m² - 1m
Step-by-step explanation:
For perimeter you add up all the side lengths.
Cubed term:
5m³+5m³+8m³
10m³+8m³
18m³
Squared term:
3m²+3m²+ (-4m²)
6m² - 4m²
2m²
Regular term:
-2m + (-2m) + 3m
-4m + 3m
-m
Explain why it is correct to claim that A/B < B/A is true.
Given: 0 < A < B
I don't know how to explain this
Answer:
Think of it as a small number and a large number. If the large number is being divided by a small number, of course that would be larger than the small number being divided by the large number.
The statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
A/B < B/A
If you use the principle that the fraction must not be incorrect and have the value A/B1 (i.e., A and B are both positive), then this is true for positive values.
If A/B = 2/3
Then B/A = 3/2
If A/B < B/A
2/3 < 3/2 (True) if 0 < A < B
5/7 < 7/5 (true) if 0 < A < B
Thus, the statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
5.16=4n please hurry I need the answer
Elena finds that the length of a house on a scale drawing is 5 inches. The actual length of the house is 45 feet. What is the scale of the drawing?
Answer:
81 is the scale of the drawing.
Step-by-step explanation:
What is the value of x?
3
4
6
8
Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast, before tip?
Answer:
$1.44
Step-by-step explanation:
1.80x20%
Answer:
$ 1.44
Step-by-step explanation:
Multiply 1.80 and 20%
If a shirt selling for $18 is marked upto $20 then the % increase is
equal to
a. 11%
b. 10%
c. 12%
d. 9%
Answer:
11%
Step-by-step explanation:
it is a simple question, whenever you need to find % increase or % decrease.
always divide the increase as in this case $2 by the original amount which is $18 and multiply it by 100 as you need to take the %.
so,
2/18*100 gives you 11.11% * is multiply
Step-by-step explanation:
$20 - $18 = $2
to get % of increase we need to know what % of $18 the $2 are.
$2 ÷ $18 = 0.11111111........
Multiply this number by 100 and you will get the percentage.
0.111111111111........ x 100 = 11.1111111111....%