Answer:
C)
Step-by-step explanation:
(n+4)(n+4) = n² + 4n + 4n + 16
this can be simplified to get:
n² + 8n + 16
now multiply the above by (n+4)
(n²+8n+16)(n+4) by multiplying each of the three terms in the first set of parentheses by each of the two terms in the second set to get:
n³ + 4n² + 8n² + 32n + 16n + 64 [Now look to combine 'like terms']
n³ + 12n² + 48n + 64 [this is option C]
What is the relationship between the volumes of a cone and cylinder when they both have the same radius and height? a. the cylinder is 1/3 the volume of the cone b. they have the same volume c. the cone is 1/3 the volume if the cylinder. d. their volumes are not related at all
Answer:
When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.
Step-by-step explanation:
The image below is a triangle drawn inside a circle with center o. which of the following expressions shows the area in square inches of the circle?
A: 3 x 3.14 x 2 ^2
B: 3.14 x 3 ^2
C: 3.14 x 2 ^2
D: 3.14 x 3
< btw can you provide an explanation while answering? I’m a bit lost here lol thank you
Answer:
the answer is 3.14 x 3 ^2
Step-by-step explanation:
the radius is half of 6 so 3 then add pi so 3.14 x 3 ^2
use this same concept for other similar question just divide the full length of the circle in half the radius the just look for the answer that has the radius pi and squared
Which of the following tells how to change a measurement from liters to milliliters?
Divide by 100
Multiply by 100
Divide by 1000
Multiply by 1000
9.7 times 10^6 plus 6.7 times 10^5 in scientific notation
The rectangle is rotated 180° about the origin. What are the new coordinates of point D ?
Answer:
The answer is C
Step-by-step explanation:
there is no explanation
please help:
Question 3 of 10 Choose the function whose graph is given by: A. y = 2sec(2x) B. y= 2csc(z x) C. y= 2sec(3x) D. y = sec(2x) + 2
Answer is A y=2sec(2x)
The function whose graph is given by A y=2sec(2x)
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function having increasingly output for inputs greater than that value of x.
If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.
The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2.
Now, only the sec function has the property that;
y=2sec(2x)
The function whose graph is given by A y=2sec(2x)
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You work at a farm that wants to build three identical rectangular corrals in a row against the side of a barn using 112 ft of fencing. No fence is needed next to the barn itself. What dimensions (for each individual corral) will maximize the corral areas
Answer:
x = 14 ft
y = 56 ft
A(max corral) = 784/3 = 261.33 ft²
Step-by-step explanation:
Let´s call y the side parallel to the barn, then only one y is going to be fenced.
If we are going to divide the area in three identical corrals we need 4 times x ( the other side perpendicular to the barn)
The perimeter of the rectangular area ( divide in three identical corrals)
112 = y + 4*x or y = 112 - 4*x
A (r) = x*y
Area as a function of x is
A(x) = x* ( 112 - 4*x) A(x) = 112*x - 4*x²
Tacking derivatives on both sides of the equation
A´(x) = 112 - 8*x A´(x) = 0 112 - 8*x = 0
x = 112/8
x = 14 ft
And y = 112 - 4*x y = 112 - 56
y = 56 ft
A(max) = 14 * 56 = 784 ft²
A(max corral) = 784/3 = 261.33 ft²
How do we know the area is maximum, tacking the second derivative
A´´(x) = - 8 A´´(x) < 0
Then the function A(x) has a maximum at the point x = 14
Answer:
14ft by 18 2/3 ft
Step-by-step explanation:
what is the area of the gray part of the triangle?
Area of complete triangle= 1/2 ×6 ×9 = 27 Sq Unit.
Area of rectangle inside triangle = 2× 5 = 10 sq unit.
area of the gray part of the triangle =Area of triangle - Area of rectangle = 27-10 = 17 Sq unit
Gray area = Big triangle area - white
rectangle area
Gray area = 1/2 × 6 × 9 - 2 × 5
Gray area = 3 × 9 - 10
Gray area = 27 - 10
Gray area = 17
A factory made 4250
cookies. It made 715 more butter cookies than
almond cookies. It made 5 times as many chocolate cookies as almond
cookies. How many chocolate cookies did the factory make?
Step-by-step explanation:
Total amount of cookies = 4250
butter cookies, b
Almond cookies, a
Chocolate cookies, c
It made 715 more butter cookies than
almond cookies
b = a + 715
It made 5 times as many chocolate cookies as almond
5a = c
Total amount of cookies
= a + b + c
= a + (a+715) + (5a)
= 7a + 715
7a + 715 = 4250
7a = 4250-715
a = 3535 / 7
a = 505
c = 5a
= 5 (505)
= 2525
The factory make 2525 chocolate cookies.
The number of chocolate cookies made by the factory is 2525 cookies
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of cookies = 4250 cookies
Let the number of almond cookies be = a
Let the number of butter cookies be = b
Let the number of chocolate cookies = c
So , the equation is
a + b + c = 4250 be equation (1)
Now ,
715 more butter cookies than almond cookies
Butter cookies b = 715 + a be equation (2)
And , 5 times as many chocolate cookies as almond cookies
Chocolate cookies c = 5a be equation (3)
So , substituting the values of a , b and c in equation (1) , we get
a + ( a + 715 ) + 5a = 4250
7a + 715 = 4250
Subtract 715 on both sides of the equation , we get
7a = 3535
Divide by 7 on both sides of the equation , we get
a = 505 cookies
Substitute the value of a in equation (2) , we get
b = 715 + a
b = 715 + 505
b = 1220 cookies
Substitute the value of a in equation (3) , we get
c = 5a
c = 505 x 5
c = 2525 cookies
Hence , number of chocolate cookies made by the factory is 2525 cookies
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g Chelsea left the coffee shop traveling 6 mph. Then, 4 hours later, Katie left traveling the same direction at 18 mph. How long will Katie travel before catching up with Chelsea
Answer:
2 hours
Step-by-step explanation:
Let t represent the anount of time traveled by Chelsea
Katie
d= 18t
Chelsea
d= 6(4+t)
18t= 6(4+t)
18t= 24+6t
18t-6t= 24
12t= 24
Divide bith isdes by the coefficient of t which is 12
t= 24/12
t= 2
Hence Katie will have to travel for 2 hours before catching up with Chelsea,
Need help quick with full work
Answer:
(x + 5) and (x -1)
Step-by-step explanation:
Given
The attached graph
Required
The [tex]factors[/tex] of the graph
The x [tex]values[/tex] are where the [tex]curve[/tex] [tex]touches[/tex] the x-axis
The first is at:
[tex]x = -5[/tex]
Add 5 to both sides
[tex]x +5= -5+5[/tex]
[tex]x +5= 0[/tex]
This implies that the first factor is: (x + 5)
The second is at:
[tex]x =1[/tex]
Subtract 1 from both sides
[tex]x - 1 = 1 - 1[/tex]
[tex]x - 1 = 0[/tex]
This implies that the other factor is: (x - 1)
y =-x^2+6x-5
Explain how you can find the x-intercept
and show the work to find them
Step-by-step explanation:
y = -x²+6x-5
x-intercept => y= 0
-x²+6x-5=0
x²-6x+5=0
(x-5) (x-1) =0
x= 5 or x=1
(1, 0) and (5, 0)
please help will award brainliest
Answer:
Slope: 7/5
Step-by-step explanation:
Slope is rise over run, so from the first dot to the second one, it rises by seven and runs by 5.
Hope this helped :)
Mary is preparing for her college entrance exams. In a practice test, she answered 15 problems in 45 minutes. At this rate, how many problems is she expected to answer in 180 minutes?
(Proportional Reasoning)....
I really need an answer, and it would be great if you answer
Answer:
I'm guessing 60
Step-by-step explanation:
84% sure tho
Can someone please answer this ASAP!!!
The product of nine, x and y
Answer:
(9)(x)(y) or 9(x + y)
Step-by-step explanation:
which point is the vertex of the angle below
Answer:
The answer is K
Answer:
k
Step-by-step explanation:
What is the Area of the parallelogram?
Answer:
117 sq in
Step-by-step explanation:
Part A: Students from 4 towns attend a conference. Each town is assigned a number from 1 to 4. Drag yes or no next to the first sentence.
Yes or No
A number is drawn and replaced 6 times. Is this a fair way to pick 6 members to give each town representation? __________
Part B: What is the probability that Town 1 will have at least 1 representative after 6 number draws, to the nearest percent?
probability = __________ %
Answer:
Part A - No
Part B - 100 %
Step-by-step explanation:
Part A.
This is because, a fair chance requires that each member has the same probability of being picked.
Since there are 4 towns, a fair chance would be 1/4.That is, 1 out of every town.
Part B
The probability of at least 1 representative after 6 number draws is P(at least 1) = 1 - P(none from Town 1)
P(none from town 1) = 0
P(at least 1) = 1 - P(none from Town 1)
P(at least 1) = 1 - 0 = 1
In percentage 1 × 100 % = 100 %
can you please answer these four questions
the other answer is 6 8 /11
Answer:
First question: C. 20 7/12
Second question: B. 242
Third question: D. 4.8
Fourth Question: C. 2 5/18
Step-by-step explanation:
Answer:
20 7/12
Step-by-step explanation:
=6 1/2 + 4 2/3 + 9 5/12
=19 19/12
=19 + 1 7/12
=20 7/12
Which set of three side lengths can be
used to make a right triangle?
39, 49, 59
39, 41, 45
39, 80, 89
39, 49, 59
Answer:
39,80,89
Step-by-step explanation:
Right triangles hypotenuse squared should equal the sum of its other side lengths. A^2+B^2=C^2. The hypotenuse is the longest length (89).
39^2+80^2=89^2
7921=7921
If the carrier is continental airlines, what is the chance that I will be denied boarding?
Answer:
Sample Answer for Edmentum
Step-by-step explanation:
Answer: 0.0112%
Step-by-step explanation:
p/o/i/t/s/f/r/e/e/;)
denada
During battling practice, two pop flies are hit from the same location, 2s apart the paths are modeled by the equations h equal negative 16t squared + 56t and h = -16t + 156t - 248 where t is the time that has passed since the first ball was hit
Answer:
Step-by-step explanation:
To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.
h = -16t^2 + 56t
h = -16t^2 + 156t - 248
-16t^2 + 56t = -16t^2 + 156t - 248
You can cancel out the -16t^2's to get
56t = 156t - 248
=> 0 = 100t - 248
=> 248 = 100t
=> 2.48 = t
Using this time value, plug into either equation to find the height.
h = 16(2.48)^2 + 56(2.48)
Final answer:
h = 40.4736
hup meh please........
Answer:
the answer is
A..0.248 HOPE IT HELPEDFind the exact value of tan A in simplest radical form.
PLEASE HELP
Answer:
[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]
The probability of Jan's school bus running late is 3/8. And 168 days of riding the bus how many times can Jan expected to be late
Answer:
Step-by-step explanation:
57=
Describe how the graph of g(x) x+5 -4G) -2 is related to the graph of the parent function f(x)
Answer:
I have no ideal dat is it okkkkkkk
202203948575895959539393939
R
70°
Q
o
S
141x-1
Solve for x. A 3 B 1 C 2 D 140
Select the correct answer. What are the y-intercept and the slop of the line represented in the graph?
Answer:
B
Step-by-step explanation:
The line crossed the y axis at 4 and the slope is -2. you can do rise/ run to find the slope which is -2/1 or -2