Answer:
D and E are true
Step-by-step explanation:
The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term
6[tex]x^{4}[/tex]
Thus the polynomial is of degree 4 → D
The leading coefficient is the coefficient of the variable with the largest exponent, that is
6[tex]x^{4}[/tex]
The leading coefficient is 6 → E
A cylindrical, wooden table top has a density of 0.42 g cm 3 and a mass of 0.25 kg.
The table top has a depth of 6 cm.
Find the radius of the table top, rounded to 1 dp.
The radius of the table top, rounded to 1 dp is 5.6 cm
From the question,
We are to determine the radius of the table top
First, we will determine the volume of the cylindrical wooden table
From the given information
Density = 0.42 g/cm³
Mass = 0.25 kg = 250 g
Using the formula
[tex]Volume = \frac{Mass}{Density}[/tex]
∴ [tex]Volume = \frac{250}{0.42}[/tex]
Volume = 595.238 cm³
Now, for the radius of the table top
Using the formula for volume of a cylinder
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height or depth
From the given information
h = 6cm
Putting the parameters into the formula
[tex]595.238 = \pi r^{2} \times 6[/tex]
∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]
[tex]r^{2} =31.57835667[/tex]
[tex]r =\sqrt{31.57835667}[/tex]
r = 5.6 cm
Hence, the radius of the table top, rounded to 1 dp is 5.6 cm
Learn more here: https://brainly.com/question/11178104
Which graph shows the solution to this system of inequalities?
y < 3x - 4
y ≥ x + 1
Answer:
c
Step-by-step explanation:
The correct answer is option D.
What's a system of inequalities?
A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.
How do you solve a system of inequalities?
Step 1: Solve the inequality for y. Step 2: Graph the boundary line for the inequality. Step 3: Shade the region that satisfies the inequality.Step 4: Solve the second inequality for y. Step 5: Graph the boundary line for the second inequality. Step 6: Shade the region that satisfies the second inequality.
Learn more about the system of inequalities here: brainly.com/question/4870108
#SPJ2
Which function defines the sequence
simplified - 6, -10, -14, -18, ...,
where f (1) = -6 ?
Choose:
An = n - 26
An = 4n - 2
An = -n + 32
An = -4n - 2
A map with a scale of 2:in:350 mi shows two cities to be 6 inches apart. How many miles apart are the cities?
Answer:
1050miles.
Step-by-step explanation:
since every 2 inches=350 miles, then 6 inches= 3(350miles)
since 6/2=3.
or you can think of it this way:
there are 3 2-inches in 6 inches, and every 2 inches, it's 350s miles.
350+350+350=1050miles.
What is 2/5 divided by 2/3
Answer:
0.6
Step-by-step explanation:
Trust me
PLZ mark as brainliest
You must write your answer in fully simplified form.
8a= 5
Answer:
x = 5/8
Step-by-step explanation:
[tex]\frac{8x}{8} = \frac{5}{8}[/tex]
x=[tex]\frac{5}{8}[/tex]
3(x+3/4+5-x/4-x/6)=10
3(x+3-4+5-x-4-x-6)=10
-3x/-3= -28/3
x= -28/3
go follow its datgurlmaribel
Step-by-step explanation:
what is this........???
For any two numbers a and b, the product of a − b times itself is equal to a^2 − 2ab + b^2. Does this familiar algebraic result hold for dot products of a vector u − v with itself? In other words, is it true that (u − v) • (u − v) = u • u − 2u • v + v • v? Justify your conclusion, trying not to express vectors u and v in component form.
Answer:
yes; the distributive property applies to dot products
Step-by-step explanation:
The product of (a-b) with itself is ...
(a -b)·(a -b) = a² -2ab +b²
because the commutative and distributive properties apply to multiplication.
(a -b)·(a -b) = a(a -b) -b(a -b) = a² -ab -ba +b² = a² -ab -ab +b² = a² -2ab +b²
__
The same expansion works for the dot product operation, because the commutative and distributive properties hold for that operation, as well.
(u −v)•(u −v) = u•(u -v) -v•(u -v) = u•u -u•v -v•u +v•v
= u•u -u•v -u•v +v•v = u•u -(u+u)•v +v•v = u•u -2u•v +v•v
_____
Additional comment
The proof of any of the properties of the dot product relies on expressing the vectors in component form. The distributive property is no exception.
Classify the following triangle
(Chose multiple)
-Equilateral
-Isosceles
-Scalene
-Acute
-Equiangular
-Obtuse
-Right
Answer:
Scalene
Acute
Obtuse
Step-by-step explanation:
≠ Equailateral because all the sides in the given triangle are not equal nor are the three angles 60°
≠ Isosceles because the triangle doesn't have two equal sides nor two equal angles
= Scalene as all the sides are of different lengths and so are all the angles with different degrees.
= Actue because QPO and PQO are less than 90°, thus they are acute angles
≠ Equiangular because none of the given angles are of the same degree.
= Obtuse as POQ is greater than 90°
≠ Right because the given triangle does not have a right angle
What is 0.27 as a percent?
A)0.27%
B)27%
C)2.7%
D)270%
Answer:
B.
Step-by-step explanation:
to turn a decimal into a percentile you have to move the decimal point over two spaces to the right.
Answer:
B
Step-by-step explanation:
Move the decimal 2 places to the left to find a percent.
6. Find the zeros of f(x):
f(x) = 2x + 6
Answer:
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Set equation equal to zero
0 = 2x + 6
-6 = 2x
x = -6/2
x = -3
A freight ship has been moving at 19 miles per hour for the past 2 days. Hugo recorded that the ship moved 155 miles yesterday and 92 miles today. For how many hours has Hugo been keeping track of the ship?
Answer:
13 hours
Step-by-step explanation:
155 + 92 = 247
247 / 19 = 13
I need help with this
Answer:
5 + 5 = 10
10 + 10 = 20
20 + 20 = 40
40 + 40 = 80
80 is the answer.
a swimming pool is drained at a rate of 50 gallons per hour. How many pints per minute is this?
Answer:
8
Step-by-step explanation:
Jane and John had an equal number of flowers. Jane made bouquets with 7 flowers each, while John made bouquets with 9 flowers each. If there were no flowers remaining, at least how many bouquets did John make
Answer:
63
Step-by-step explanation:
The least common multiple of 7 and 9 is 63
hurry plz!!! I need help
Answer: See below
Step-by-step explanation:
The general transformation equation for an absolute value function is
y=a | x−h |+k.
f(x)=|x+4|
Horizontal translation 4 units left (positive value, move left)
f(x)=|x|-4
Vertical translation down 4 units (negative k value, move down)
f(x)=|x-4|
Horizontal translation 4 units right (negative value, move right)
f(x)=|x|+4
Vertical translation up 4 units (positive k value, move up)
Can someone please help me with this?
Answer:.35,38% 3/5
Step-by-step explanation:Hope this helped
Answer: 0.35, 38% , 3/5
Step-by-step explanation:
3/5= 0.6= 0.60
38%= 0.38
0.35
6. If the pattern continues, what would be the ninth number in the pattern?
4 8, 12, 16___
( full question on pic )
Hi! can someone help me please, thank u!
Answer:
20
Step-by-step explanation:
You're counting by 4's. Which are the following 4,8,12,16,20 and so on. Hope this helps :D
I don't understand raitos please help solve math problems
anybody help please hm
Answer:
1
Step-by-step explanation:
if you use a calculator, it will come up as 1. I don't know why, but it does.
Hope this helps!
Answer this QUICK!!! 60 POINTS!!!!
Answer:
Step-by-step explanation:
top right
Answer:
Its C (upper right)
Step-by-step explanation:
Are these three side lengths a Pythagorean triple? YES
NO
Answer:
Yes
Step-by-step explanation:
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
[tex]\sqrt{50}[/tex] = c
[tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]
Answer:
NOStep-by-step explanation:
no, it is an acute isosceles triangle
(5√2 = 7.01)
(x+3³):(x+3)
Ehjensnsn
Answer:
x + 27
——————
x + 3
Step-by-step explanation:
What is the value of 8.25p + 3.99c, when p=11 and c= 7? *
Answer:
Your answer is p=3.99;$51.87
What is 2 plus 55?
........................
Answer:
57
Step-by-step explanation:
...........................
If you add 2 to 55 it’s going to equal 57
A piecewise function is represented by the graph below.
On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?
x < –1
–1 ≤ x ≤ 1
1 ≤ x < 2
x > 1
A piecewise function is used that combines several functions at different intervals.
The domain of the function represented by f(x) = x + 1 is x > 1
The function f(x) = x + 1 is represented by the second line that has an open circle at (1,2) and continues to (3,4)
The open circle at point (1,2) means that, the x value at this point is not included in the domain of f(x) = x + 1
So, the domain of f(x) = x + 1 is x > 1
Read more about piecewise functions at:
https://brainly.com/question/17966003
Answer:
D
Step-by-step explanation:
Correct on Edge
HELP PLEASEEEEEE ill give u 30 point plays brainly u dont even have to show ur work
Answer:
1) 32/7
2) 7/5
3) 13/4
4) 32/15
5) 19/2
6) 57/14
Step-by-step explanation:
Use a calculator and/or multiple the coefficients with the value of the denominator then add it to the numerator and multiply.
A football is kicked into the air. Its height above the ground is approximated by the equation h=20t-5[tex]t^{2}[/tex], where h is the height in meters and t is the time in seconds since the football was kicked.
a)what are the zeros of the relation? when does the football hit the ground?
Answer:
Zeroes - x=0 and x=4
Football hits the ground at x=4 (4 seconds)
Step-by-step explanation:
1) Plug equation in graphing calculator and graph function.
2) Find zeroes
3) The second zero is when the football hits the ground
Peter says, "If you subtract 16 from my number and multiply the difference by - 2, the result is
- 34." What is Peter's number?
Answer:
33
Step-by-step explanation:
Let the number be x,
=> (x - 16) -2 = - 34
=> -2x + 32 = -34
=> -2x = - 34 - 32 (by transposing)
=> -2x = -66
=> x = -66/-2 = 33
Peter's number is 33.
Hope you understood.