Answer:
(c) No; There is an exponent on a variable x that is not a whole number
Step-by-step explanation:
Given
[tex]f(x) = x^2 - \sqrt[5]{x}[/tex]
Required
Determine if the function is a polynomial function of not
A polynomial function is represented as:
[tex]f(x) =ax^n + bx^{n-1} + cx^{n-2}+........+z[/tex]
Where n is an integer and the least power is 0
So, we have:
[tex]f(x) = x^2 - \sqrt[5]{x}[/tex]
The degree of x is [tex]\frac{1}{5}[/tex] ----- i.e. not an integer
Hence, the function is not a polynomial
can someone help me with this math problem please? One hundred ten students are assigned to four classrooms as equally as possible. How many students are in each classroom? (Write four numbers in all show how many students are in each room?
Answer:
27.5
Step-by-step explanation:
Answer:
27.5Step-by-step explanation:
110/4 is 27.5
Anybody know this one? I’m set that it is B but I am not too sure
Answer:
D
Step-by-step explanation:
It is D because there are only 3 sides given. I understand where you were going with B, but there is no angle given, (and you cannot prove one either), so the answer is simply D.
A - There is no angle, triangle does not matter
B - There is no angle, triangle is correct
C - It is similar, they have the same scale factor
D - There are 3 sides, and the triangle is correct
Show that the transformation T defined by
T(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.
Let u = (1, 0) and v = (0, 1). Then
T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)
T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)
=> T (u) + T (v) = (-1, 9, 5)
but
T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)
=> T (u + v) ≠ T (u) + T (v)
which means T does not preserve addition, so it is not linear.
Enter the coordinates of the vertex of the graph of y = 2(x + 5)2 − 4.
Vertex: (
,
)
9514 1404 393
Answer:
(-5, -4)
Step-by-step explanation:
Compare the given equation to vertex form:
y = a(x -h)² +k
You see that a=2, h=-5, k=-4.
The vertex is (h, k) = (-5, -4).
use special right triangle:
What is the length of (BD)
What is the length of (BC)
Answer:
BC = 6.9
Step--step explanation:
Reference angle = 30°
Adjacent = BC
Hypotenuse = 8
Apply trigonometric function, CAH:
Cos 30° = Adj/Hypotenuse
Cos 30° = BC/8
8*Cos 30° = BC
6.92820323 = BC
BC = 6.9 (to the nearest tenth)
Which expression is equivalent to (1/16)^-4
Pls help 30 points timed
What function equation for the input/output table

Answer: The answer would be y = x + 8
Step-by-step explanation:
Do girls read more than boys during the summer? Serena's class asked
30 parents to estimate how many pages their child read over the summer. They
collected the following data.
Girls: 10 30 230 130 110 240 150 260 60 230 100 20 50 160 90 pages
Boys: 210 100 0 40 260 240 200 220 190 150 50 100 12 140 40 pages
Make parallel box plots and compare the center, shape, spread, and outliers.
b. Do girls read more? How many IQRs more do they read? Use the box
plots to estimate.
a.
Answer:
Step-by-step explanation:
I dont know how to do the box thing, but I added all the things and boys read more.
girls:1870
boys:1952
The diffrence (when subracting) is 82
please help 5 points which one
Answer:
A) 9/2x3/8
Step-by-step explanation:
i need a box with a square base and an open top that cna hold 500 in^3. what is the least amount of material i can use to build this box
Answer:
M(x) = 452,56 in
Step-by-step explanation:
The volume of the open box is 500 in³
V = Area of the base times height
V(b) = x² * h where x is the side of the square and h the heigh
Then 500 = x²*h
Total material to use is: material of the base + material of 4 sides
material of the base is x²
material of one side is x*h we have 4 sides then 4*x*h
Total material M(b)
M(b) = x² + 4*x*h
And as h = 500/ x²
M(x) = x² + 4* x* 500/x²
M(x) = x² + 2000/x
Tacking derivatives on both sides of the equation
M´(x) = 2*x - 200/x²
M´(x) = 0 2*x - 200/x² = 0
x³ - 100 = 0
x³ = 100
x = 4,64 in
And By substitution h = 500/x²
h = 500/(4,64)² h = 23,22 in
How do we know that x = 4,64 make V(x) minimum
we get the second derivative
M´´(x) = 2 + 200*2x/ x⁴ = 2 + 400/x³
M´´(x) is always positive
M´´(x) > 0 then M(x) has a minimum for x= 4,64 in
The least amount of material is:
M(x) = x² + 2000/x
M(x) = (4,64)² * 2000/4,64
M(x) = 21,53 + 431,03
M(x) = 452,56 in
A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?
A.12 gallons
B.2.8 gallons
C.13 gallons
D.25 gallons
plss help no link im giving brainless i need it Asap
Answer:
C. 13 gallons
Step-by-step explanation:
150 divided by 6 is 25. 325 divided by 25 is 13.
To travel 325 miles the van needs C. 13 gallons of gas.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A van travels 150 miles on 6 gallons of gas.
So, In one gallon the van travels (150/6) = 25 miles.
∴ To travel 325 miles the van needs (325/25) = 13 gallons of gas.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
what could the expression below represent? please help
Answer:
third
Step-by-step explanation:
arctan of ( opp/adj) = arctan( 10/15 )
the shadow is 15 so 10 must be the height of the streetlight and
arctan (10/15) is the angle between the ground and the line from the edge of the shadow to the top of the streetlight
Please help with this question
9514 1404 393
Answer:
4. (d) 4.38 in³
5. (b) 19 gallons
6. (a) 6.4 yd³
Step-by-step explanation:
4. The equation can be rearranged to find the compressed volume.
Multiply both sides by the compressed volume:
(compression ratio)×(compressed volume) = (expanded volume)
Divide both sides by the compression ratio:
(compressed volume) = (expanded volume)/(compression ratio)
Fill in the numbers and do the arithmetic.
compressed volume = 46.0 in³/(10.5/1) = 4.38 in³
The compressed volume is about 4.38 in³.
__
5. The area to be covered is 3170 ft². We want to cover it twice, so the total area we want to cover is 2×3170 ft² = 6340 ft². One gallon of paint covers 350 ft². We want to find the smallest integer number of gallons n such that ...
n×(350 ft²) ≥ 6340 ft²
Dividing by the coefficient of n, we have ...
n ≥ 6340/350 ≈ 18.11
The smallest integer value of n is 19. 19 gallons of paint will be needed.
__
6. The quantity of sand needed (q) is proportional to the area to be covered, so we have ...
q/(400 yd²) = (1.6 yd³)/(100 yd²)
Multiplying both sides of this equation by 400 yd² gives ...
q = (1.6 yd³)(400/100) = 6.4 yd³
6.4 yd³ of sand will be needed.
VALUE OF X PLEASE ASAP
Answer:
Hello! answer: x = 40
Step-by-step explanation:
These are vertical angles meaning they will have the same measure.
40 × 3 = 120 120 - 16 = 104 therefore x = 40 hope that helps!
PLease help!! Will mark brainliest for right answer!! NO LINKS
Let f(x)=10/x−4 . What is the average rate of change of f(x) from 2 to 8 ?
Enter your response as a decimal.
Answer:
[tex]f(x) = \frac{10}{x} - 4 \\ \delta \: f(x) = \frac{f(8) - f(2)}{2} \\ = \frac{(\frac{10}{8} - 4) - ( \frac{10}{2} - 4)}{2} \\ = \frac{ \frac{ - 11}{4} - 1}{2} \\ = \frac{ \frac{ - 15}{4} }{2} \\ = - \frac{15}{8} [/tex]
Move each fraction to a box to make each comparison true.
determine the term 6 generated by the rule TN is equals to n squared minus n and over 2
Given:
Consider the rule of a sequence is:
[tex]T_n=\dfrac{n^2-n}{2}[/tex]
To find:
The 6th term generated by the given rule.
Solution:
We have,
[tex]T_n=\dfrac{n^2-n}{2}[/tex]
Substituting [tex]n=6[/tex] in the above rule, we get
[tex]T_6=\dfrac{6^2-6}{2}[/tex]
[tex]T_6=\dfrac{36-6}{2}[/tex]
[tex]T_6=\dfrac{30}{2}[/tex]
[tex]T_6=15[/tex]
Therefore, the 6th term generated by the given rule is 15.
Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width of 6 cm. Find the volume of the box?
WITH SOLUTION PLEASE
Hello there I hope you are having a great day :) Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width of 6 cm. Find the volume of the box?
V = L x W x H
Volume = length x Width x Height.
12cm x 6cm x 8cm = V = 576cm^3
so the answer is 576cm^3
Hopefully that helps you :)
Step-by-step explanation:
VOLUME : is the quality of three deamination place enclosed by a closed surface it is the space that substance or shape or keep use or contains it is measured in cubic units
A RACTANGULAR :is a three dimensional figure it has length wind and height
to find the value of the box we need to multiply length buy it wide and by its height v=l x w x hlet us analysis the problem above
GIVEN :length =12 cm
height = 8 cm
width=6 cm
SOLUTION :v=1 x w x h
=(12 CM) x (8 CM) x (6 CM)
=576 cm³FINAL ANSWER(:the value of the box is 576 CM ³
Can someone please help me with this fast?
Answer:
65*
Step-by-step explanation:
12x-7+16x+19=180
28x=168
x=6
12(6)-7=65
Which of the following CANNOT be true for a triangle?
A. A triangle can be equilateral and obtuse at the same time.
B. A triangle can be equilateral and equiangular at the same time.
C. A triangle can be isosceles and right at the same time.
D. A triangle can be scalene and obtuse at the same time.
Answer:
A. A triangle can be equilateral and obtuse at the same time
Step-by-step explanation:
All angles in an equilateral triangle are 60° therefore they cannot be above 90° and less than 180°
what is the value of x?
the answer is 35 I did a lot of work I can't show you here
The moving company
charges extra money to move boxes weighing more than
25 pounds. Circle the packages that weigh less than 25 pounds.
Put an X on the packages that weigh more than 25 pounds.
320 ounces
480 ounces
288 ounces
368 ounces
352 ounces
432 ounces
For positive acute angles A and B it is known that tan A 15/8 and Cos B 12/37 find the value of Cos (A+b) being in simplest form
Answer:
Step-by-step explanation:
Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)
Find The Hypotenuse of A
Tan(A) = Opposite / Adjacent
Tan(A) = 15/8
Opposite = 15
Adjacent = 8
Hypotenuse = c
c^2 = opposite^2 + Adjacent^2
c^2 = 15^2 + 8^2
c^2 = 225 + 64
c^2 = 289
sqrt(c^2) = sqrt(289)
c = 17
Find the opposite of B
Adjacent = 12
Hypotenuse = 37
Opposite = b
adjacent^2 + opposite^2 = hypotenuse^2
12^2 + b^2 = 37^2
144 + b^2 = 1369
b^2 = 1369 - 144
b^2 = 1335
b = 35
Definitions
Sin(A) = Opposite / hypotenuse = 15/17
Sin(B) = opposite / hypotenuse = 35/37
Cos(A) = 8/17
Cos(B) = 12/37
Answer
Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)
Cos(A + B) = 8/17 * 12/37 - 15/17*35/37
Cos(A + B) = 96/629 - 525/629
Cos(A + B) = -429/629
Can someone explain this to me?
Answer:
#2. 6x3.14=1080 which is more than 18
Help.. please.. I have no idea how to do this..
The ratio of softballs to teams is 26:2. How many softballs would 8 teams have?
Answer:
104 softballs
Step-by-step explanation:
26 x 4 = 104
what is the percentile rank of 45 in the following length
24, 27, 27, 32, 34, 35, 35, 37, 38,41, 42, 44, 45, 45, 48, 49, 50, 52, 52
Answer:
63%.
Step-by-step explanation:
There are 12 scores below 45 and total number of scores = 19.
So percentile rank= (12/19) * 100
= 63%.
Product of 32.56 and 1.4
Answer:
45.584
;)
Have a nice day
Consider the following functions which map Rn to Rn.
(a) T multiplies the jth component of~x by a nonzero number b.
(b) T replaces the ith component of~x with b times the jth component added to the ith component.
(c) T switches the ith and jth components.
Show these functions are linear transformations and describe their matrices A such that T (~x).
Answer: c
Step-by-step explanation:
Find the missing measure for a right circular cone given the following information.
Find h if r = 5 and V = 100 pi.
4
12
30
Answer:
[tex]Volume = \frac{1}{3} \pi r^2 h \\\\r= 5\\Volume = 100\pi\\\\Find \ h.\\\\h = 3\frac{V}{\pi r^2} = 3 \times \frac{100 \pi}{\pi \times 5^2} = 3\times \frac{100}{25} = 3 \times 4 = 12[/tex]