Answer:
[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]
Step-by-step explanation:
Given
[tex]9c^3 - 12c^2 - 18c - 24[/tex]
Required
Factor
Group into 2
[tex][9c^3 - 12c^2] - [18c + 24][/tex]
Factorize each group
[tex]3c^2[3c - 4] - 6[3c - 4][/tex]
Factor out 3c - 4
[tex][3c^2 - 6][3c - 4][/tex]
Hence:
[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
SELECT ALL THAT APPLY
Which of the following are INDEPENDENT events?
a.) You randomly choose 2 socks from a drawer, hoping they will match.
b.) You draw a marble from a bag, replace it, and draw again.
c.) You draw two numbers from 1 to 10 from a hat without replacing the first.
d.) You flip a coin and roll a number cube.
Answer:
A
Step-by-step explanation:
I hope this helps.
Have a good day :)
a.) You randomly choose 2 socks from a drawer, hoping they will match.
What is the volume, in cubic inches, of a rectangular prism with a height of 19 inches,
a width of 8 inches, and a length of 17 inches?
Answer:
2584
Step-by-step explanation:
height of 19 inches,
a width of 8 inches, and a length of 17 inches
17 times 19 times 8
ILL GIVE BRAINLIEST!! please answer this and tell me how you got it for the calculations on the side. there's also a bonus question- "how far is it from the tip of the flag pole to the tip of the shadow" please answer that if you can and show work too. NO BITLY thank you!
Answer:
Height of Flagpole: 24.03 feet
Length between tip of flagpole and tip of shadow: 46.67 feet
Step-by-step explanation:
So the angle of elevation (31°) is facing directly opposite of the flagpole. The shadow of the flagpole (40 ft) is adjacent to the angle of elevation. Therefore, the tangent function incorporates both the opposite and adjacent sides of the right triangle created. We would then make the equation and solve for the height of the flagpole which is the opposite side (h in this case):
tanθ = opposite/adjacent
tan(31°) = h/40
40tan(31°) = h
24.03442476 = h
h ≈ 24.03
Therefore, the height of the flagpole is about 24.03 ft.
As for your bonus question, the length of the tip of the flagpole to the tip of the shadow would be the hypotenuse of the triangle created, which can easily be found using the Pythagorean Theorem (using exact values):
a² + b² = c²
(40tan(31))² + (40)² = c²
577.6535736 + 1600 = c²
2177.6535736 = c²
46.66533589 = c
c ≈ 46.67
Therefore, the length from the tip of the flagpole to the tip of the shadow is 46.67 ft.
The college bookstore tells prospective students that the average cost of its textbooks is $92 per book, with a standard deviation of $15. The engineering students think that the average cost of their books is higher than the average for all students. To test the bookstore’s claim against their alternative, the engineering students collect a random sample of size 45, and calculate x = $97.34.
Grade: 5 4 3 2 1
Communication strong ←− − − − − − −→ weak ×2
Required:
Conduct a hypothesis test with α = 0.05 to see if the students’ claim is supported. Use the classical approach.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution.
y=3x²+3x+1,find the value of the discrimination
Answer:
Step-by-step explanation:
a = 3
b = 3
c = 1
Discriminate = sqrt(b^2 - 4ac)
Discriminate = sqrt(9 - 4*3*1)
Discriminate = sqrt(9 - 12)
Discriminate = sqrt(-3)
What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.
You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.
Find parametric equations through point P=(2,2,7) in the direction of the vector v = (44, 14, -20)?
9514 1404 393
Answer:
(x, y, z) = (2+44t, 2+14t, 7-20t)
Step-by-step explanation:
One way to write parametric equations for line L is ...
L = P + t·v
where P is the given point and v is the given direction vector. Using that form, we have ...
(x, y, z) = (2+44t, 2+14t, 7-20t)
__
If you like, you can remove a common factor of 2 from the coefficients of t.
(x, y, z) = (2+22t, 2+7t, 7-10t)
A combined total of $53,000 is invested in to two bonds that pay 2% and 8.5% simple interest. The annual interest is %3,335. How much is invested in each bond?
follow the picture this is confusing
Step-by-step explanation:
This is a familiar conversion problem:
[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]
[tex] = 1.95 \times {10}^{15} \: miles[/tex]
Answer:
see below
Step-by-step explanation:
3.3 × 10^2 light years
one light year is 5.9 × 10^12 miles
you need to multiple these two values
3.3 × 10^2 light years × 5.9 × 10^12 miles/light year =
= (3.3 × 5.9) × 10^2 × 10^12
= 19.47 × 10^(2 + 12)
= 1.947 × 10^1 × 10^14
= 1.947 × 10^15 miles
192=6000(.02(8/5-4Y)+.08y)
solve for y
Given:
The equation is:
[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]
To find:
The value of y.
Solution:
We have,
[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]
On simplification, we get
[tex]192=6000\left(0.02\times 1.6-0.02\times 4y+0.08y\right)[/tex]
[tex]192=6000\left(0.032-0.08y+0.08y\right)[/tex]
[tex]192=6000\left(0.032\right)[/tex]
[tex]192=192[/tex]
Since LHS=RHS and the equation is free from the variable y, therefore the given equation is true for all real values of y.
Hence, all real values of y are solutions.
Help with 19 please
Answer:
Plot a point at (0,5) the plot a point at (1,8) (2,11) etc...
Step-by-step explanation:
Solve these 2 parts please. 1 by 1 solve these two.
find the slope between the pair of points.
through: (1,-3) and (2,3)
Answer:
6
Step-by-step explanation:
Slope = delta y/delta x
[tex]slope = \frac{y_1-y_2}{x_1-x_2}[/tex]
Slope = (-3-3)/(1-2)
Slope = -6/-1
Slope = 6
Answer:
6
Step-by-step explanation:
Given :-
Two points (1,-3) and (2,3)And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.
Substituting the respective values :-
[tex]:\implies[/tex] m = y₁ - y₂/ x₁ - x ₂
[tex]:\implies[/tex] m = -3 -3 / 1 - 2
[tex]:\implies[/tex] m = -6/-1
[tex]:\implies[/tex] m = 6
Hence the slope of the line is 6.
PLZ HELP ME , PLZ HELP AND PLEASE, PLZ HELP JUST PLZ HELP THANK YOU FOR YOUR TIME
Use the box plot to explain what you know about the spread of this data set.
Answer:
Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!
bit.[tex]^{}[/tex]
Answer:
The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"
The median of the data is 50 (middle line inside the box)
The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.
The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.
The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.
Let me know if you have questions about this answer. I'm happy to help.
the table below shows some inputs and outputs of the invertible function f etc
Answer:
[tex](a)\ f^{-1}(-15) = -6[/tex]
[tex](b)\ f^{-1}(4) + f(9)=0[/tex]
Step-by-step explanation:
Given
The attached table
[tex](a)\ f^{-1}(-15)[/tex]
This represents an inverse function.
So, we look into x row for its value.
i.e.
[tex]f^{-1}(-15) = -6[/tex]
[tex](b)\ f^{-1}(4) + f(9)[/tex]
Just like (a)
[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows
[tex]f(9) = 11[/tex]
So:
[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]
[tex]f^{-1}(4) + f(9)=0[/tex]
What is the volume of the cube shown below?
100 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
15
Step-by-step explanation:
To find the answer you multiply the length by the width.
5×3=15
What is 2 + 2 I'm in 11th grade and my teacher gave me this question?
Answer:
2+2=4
Step-by-step explanation:
I don't even know why this is a question
Answer:
2+2 is 4 ok tell ur thecher it is four
Step-by-step explanation: lol
Find the area of the figure
area: units2
Answer:
24 units²
Step-by-step explanation:
Top triangle: 1/2x2x4=4
Main rectangle: 2x4=8
Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12
4+8+12=24
ASAP PLSS HELPPP!!!!!! If the area of a triangle is 78 square meters and the height of this triangle is 13 meters, what is the length of the base of this triangle?
A)None of these answers are correct
B)32.5 m
C)507 m
D)1,014 m
E)12 m
Answer:
E. 12 m
Step-by-step explanation:
b = 2×A/h
= 2×78/13
= 156/13
= 12 m
find the volume of each figure. no links pls.
Answer:
For number one do 13+13 and then 21+21 and 8+8 so you would get 16 for 8+8 and 21+21 is 41 so 41+16 is 57 and then 13+13 is 26 so 57+26 and then your answer is going the be the volume
How to find the area of a triangle using trig
Hope this helps you out in your journey for the test
what is the permiter of the figuere
Answer:
68.7
Step-by-step explanation:
PLEASE HELP IM IN MY FINALS I WILL GIVE BRANLIEST Find the slope of the line through each pair of points. (-8, 15),(-1,9)
Avery invested $200 in an account paying an interest rate of 6 7/8%
compounded continuously. Jeremiah invested $200 in an account paying an
interest rate of 6 5/8% compounded quarterly. To the nearest hundredth of a
year, how much longer would it take for Jeremiah's money to triple than for
Avery's money to triple?
Answer:
15
Step-by-step explanation:
The surface area is what?? These are the numbers 14 cm, 14cm, and 10cm
Pls answer fast
Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196
196 + 280 = 476
Final answer = 476
la
You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?
There were 3 chihuahuas at the dog park last Saturday, along with 9 other dogs. Considering this data, how many of the next 20 dogs to arrive at the park next Saturday should you expect to be chihuahuas?
Answer:
5
Step-by-step explanation:
Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.
Assuming this ratio is consistent, (1/4)*20 is 5.
In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.
Hope it helped, and have a beautiful day/night! <3
Help please I don’t know what to do and I need to pass this class to be able to graduate
9514 1404 393
Answer:
3 line segmentstriangleStep-by-step explanation:
What to do:
read the questiondo what it says__
When you plot 3 points, A, B, C, you can join them 3 ways: AB, AC, BC. The three line segments make a triangle
5 × ( 1/3 + 2/5 ) peealse i nedd a answer quick
Answer:
11/3 as improper fraction
3 2/3 as proper fraction
Step-by-step explanation:
5 × ( 1/3 + 2/5 )
use common denominator of 15
5 × ( 5/15 + 6/15 )
Add
5 × ( 11/15)
Reduce
1 × ( 11/3)
11/3
as a proper fraction
3 2/3
Answer:
3.666666667
Step-by-step explanation:
= 5 (1/3 + 2/5)
= (5 (1/3)) + (5 (2/5))
= (1.666666667) + (2)
= 3.666666667
Hope this helps :)
Find the greatest common factor of 12 and 32.
A) 9
B) 12
C) 6
D) 4
Answer:
4
Step-by-step explanation:
Answer:
12 = 2 × 2 × 3
32 = 2 × 2 × 2 × 2 × 2
Greater Common Factor = 2 × 2 = 4