Answer:
17/50.
Step-by-step explanation:
If we convert 3 2/5 into an improper fraction, we get 17/5.
If you don't read the question carefully, it's easy to think that the answer would be 17/5 ÷ 9. However, this is wrong.
The question says "her AND her 9 friends," so there are 9+1=10 people total.
Thus, the answer would be
17/5 ÷ 10 = 17/5 * 1/10 = 17/50.
what is the slope of the line?
Let u=-4i-5j and v=3i-6j
What type of triangle is this
Answer:
isosceles
Step-by-step explanation:
Answer:
An isosceles
An angle measures 72.2° less than the measure of its complementary angle. What is the
measure of each angle?
º and°
Answer:
We have the angles as;
8.9 and 72.2
Step-by-step explanation:
When two angles are complementary, they add up to 90
Let the first angle be x , the second angle is 72.2 degrees less and it is x-72.2
Thus, mathematically;
x + x - 72.2 = 90
2x = 90+ 72.2
2x = 162.2
x = 81.1
x = 81.1
The other will be
81.1 - 72.2 = 8.9
use the quotient rule to find the derrivatives of 3/x^2
With full process
Answer:
[tex]\displaystyle \frac{d}{dx} \Big [ \frac{3}{x^2} \Big ]=-\frac{6}{x^3}[/tex]
Step-by-step explanation:
We can use either the Power Rule or the Quotient Rule to find the derivative of 3/x².
Power Rule: [tex]\displaystyle \frac{d}{dx}[ x^n] = nx^n^-^1[/tex]Rewrite [tex]\displaystyle \frac{3}{x^2}[/tex] as [tex]\displaystyle 3\cdot \frac{1}{x^2}[/tex] which is equivalent to [tex]3\cdot x^-^2[/tex].
Now we can apply the power rule to 3x⁻². Subtract 1 from the exponent and multiply the coefficient by -2.
3(-2)x⁻³ = -6x⁻³This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex].
Quotient Rule: [tex]\displaystyle \frac{d}{dx} \Big [ \frac{f(x)}{g(x)} \Big ]=\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]Substituting 3 for f(x) and x² for g(x), we get:
[tex]\displaystyle \frac{(x^2)(0)-(3)(2x)}{(x^2)^2}[/tex]Simplify.
[tex]\displaystyle \frac{-6x}{x^4}[/tex]Using exponent rules, we can rewrite this as:
[tex]-6x^1^-^4 = -6x^-^3[/tex]This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex], which is the same as what we got using the product rule.
Answer:
[tex]\displaystyle \frac{d}{d x}\left[\frac{3}{x^2}\right] = -\frac{6}{x^{3}}[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] denote two functions of [tex]x[/tex]. Assume that [tex]g(x) \ne 0[/tex]. The quotient rule states that:
[tex]\displaystyle \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right] = \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2}[/tex].
In this question:
The numerator of the fraction is [tex]f(x) = 3[/tex] (a constant function.)The denominator of the fraction is [tex]g(x) = x^{2}[/tex].Find [tex]{f}^{\prime}(x)[/tex] and [tex]{g}^{\prime}(x)[/tex].
Notice that the value of [tex]f(x)[/tex] is constantly [tex]3[/tex] regardless of the value of [tex]x[/tex]. By the constant rule, [tex]{f}^{\prime}(x) = 0[/tex].
For [tex]{g}^{\prime}(x)[/tex], consider the power rule:
if [tex]m[/tex] represents a rational number (such as [tex]2[/tex],) then by the power rule, [tex]\displaystyle \frac{d}{d x}\left[{x}^{m}\right] = m\, {x}^{m-1}[/tex].
Apply this rule to find [tex]{g}^{\prime}(x)[/tex].
[tex]\begin{aligned}{g}^{\prime}(x) &= \frac{d}{d x} \left[x^{2}\right] \\ &= 2\, x^{2 - 1} \\ &= 2\, x\end{aligned}[/tex].
Substitute [tex]f(x) = 3[/tex], [tex]{f}^{\prime}(x) = 0[/tex], [tex]g(x) = x^{2}[/tex], and [tex]{g}^{\prime}(x) = 2\, x[/tex] into the quotient rule expression to find [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right][/tex]:
[tex]\begin{aligned}&\; \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] \quad \genfrac{}{}{0em}{}{\leftarrow f(x) = 3}{\leftarrow g(x) = {x}^{2}} \\ =&\; \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\\ =&\; \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2} \\ =& \; \frac{0 \, x^2 - 3\, (2\, x)}{\left({x}^{2}\right)} \\ =&\; -\frac{6}{x^{3}}\end{aligned}[/tex].
Therefore, [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] = -\frac{6}{x^{3}}[/tex].
This is some question pizza circles in math
Step-by-step explanation:
Diameter : 10
Radius : 5
Area :
[tex]\pi {r}^{2} = \pi{5}^{2} = 78.54[/tex]
Diameter: 18
Radius : 9
Area :
[tex]\pi {9}^{2} = 254.47[/tex]
Diameter: 11
Radius: 5.5
Area:
[tex]\pi {5.5}^{2} = 95.03[/tex]
Diameter: 12
Radius : 6
Area:
[tex]\pi {6}^{2} = 113.09[/tex]
Jake rewrites the expression 81x4 – 1 as a difference of squares so he can factor it. Which answer choice shows how Jake could rewrite the expression?
Answer: (9x^2)^2 -1^2
Step-by-step explanation:
Jake rewrite the expression as,
⇒ (3x - 1) (3x + 1) (9x² + 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 81x⁴ - 1
And, Jake rewrites the expression as a difference of squares so he can factor it.
Now, We can rewrite the expression as;
⇒ 81x⁴ - 1
⇒ (9x²)² - 1²
⇒ (9x² - 1) (9x² + 1)
⇒ ((3x)² - 1²) (9x² + 1)
⇒ (3x - 1) (3x + 1) (9x² + 1)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
Solve.
3.5 x (5.8 - 7.09) =
Answer:
-4.515
Step-by-step explanation:
3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515
CAN YOU PLEASE HELP ME!!....
Answer:
I have no idea sorry :c
Step-by-step explanation:
Find the volume of the cube in inches3 below. Then select the correct units
when entering your answer.
7 in.
7 in.
7 in
Answer here
cu. cm
cu, in
sq. in
Answer:
21 cubic inches (or cu. in)
Step-by-step explanation: Multiply 7 by three
Find:-
1) Complement of 75 degree
2) Complement of 40 degree
3) Complement of 71 degree
4) Complement of 101 degree
Given :
Some angles in degree.
To Find :
1) Complement of 75 degree
2) Complement of 40 degree
3) Complement of 71 degree
4) Complement of 101 degree
Solution :
We know, two angles are complement when their sum is 90 degree.
1) Complement of 75 degree is, 90 - 75 = 15 degree.
2) Complement of 40 degree is, 90 - 40 = 50 degree.
3) Complement of 71 degree is, 90 - 71 = 19 degree.
4) Complement of 101 degree is, 90 - ( -101 ) = 191 degree.
Hence, this is the required solution.
I NEED HELP PLEASE I DON’T WANT TO FAIL PLEASE PLEASE HELP ME
What is a simpler form of the following expressions?
(7m2 - 5)(7m2 + 5)
(This is a rushed one so pls help?)
Answer:
49m^4 - 25
Step-by-step explanation:
The simpler expression can simply be found by expanding
The kind of expansion we have here is the difference of two squares
(a + b)(a-b) = a^2 - b^2
Thus, we have it that;
(7m^2-5)(7m^2 + 5)
=
49m^4 - 25
Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().
Answer:
We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]
We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))
We would simply subtract f(x) and g(x)
[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]
So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
Giving 5 stars and brainlist to whoever answers this correct!!!!
The table shows the number of animals in the most popular exhibit at the zoo.
Flamingo - 12
Crocodile - 4
Elephants - 3
Monkeys - 11
If an animal is selected at random to be fed in front of an audience, which expression can be used to determine the probability the animal will NOT be an elephant?
A. 1/10
B. 9/10
C. 3/10
D. 3/3
Answer:
its A because it can't be B or D obviously, and since there are the least amount of elephants, its gonna be the one will less of a percentage. So its A.
Step-by-step explanation:
jabsbabsbavvsbabs
Will mark as brainliest
Answer:
p = 1
Step-by-step explanation:
Δ JKH ≅ Δ JIH
therefore KJ corresponds with IJ so you can set both sides equal to each other
10p = p+9
9p = 9
p = 1
PLEASE HELP ASAP!!!!!!!
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1 \frac{1}{2} * \frac{3}{4}}{2}=\frac{9}{16}[/tex]
The table below shows the number of peaches and cups of water used to make fruit punch according to a certain recipe. Peaches Water (cups) 64 96 56 84 How many cups of water are needed for every 1 peach? Note: Your answer may be exact or rounded to the nearest hundredth. label optional
Answer:
fhyedGFYUSEGCFUEGFCYU
Step-by-step explanation:
pay back
Help quick!!!
What is the distance between the following points:
A ( 25,20 ) B ( 5, 20 )
Answer:
(20,0)
Step-by-step explanation:
I think that's it sorry if I am wrong:(
I’m begging please help me with this
one solution i think it has one solution
What is the difference between a system of equations and a system of inequalities?
Expressions can be expressed as equations or as inequalities.
The difference is that the variables in a system of equation have one solution each, while in a system of inequalities, the variables have a range of values.
Let the system of equation be:
[tex]\mathbf{ax + by = c}[/tex]
[tex]\mathbf{dx + ey = f}[/tex]
Let the system of inequality be:
[tex]\mathbf{ax + by < c}[/tex]
[tex]\mathbf{dx + ey > f}[/tex]
Both systems can be solved using the same method, such as: graphs, substitution and elimination.
However, the difference is that:
In a system of equation, the variables can have one solution each, while in a system of inequalities, the variables have a range of values.
Read more about system of equations and inequalities at:
https://brainly.com/question/11476486
Enter your answer and show all the steps that you use to solve this problem in
the space provided.
The two figures shown above are congruent. Identify the corresponding sides and
angles.
Answer:
Step-by-step explanation:
they're the same figure but turned 90 deg
congruent sides:
AD and RQ
BA and SR
BC and SP
PQ and CD
congruent angles:
D and Q
R and A
B and S
C and P
haven't done this in a minute sorry if this is wrong
From the graph shown, what is an approximate solution of the system of equations?
Will Mark Brainliest
Solve each system by elimination. Show your work
3х – 10 y = 14
3х – 9y = 15
Answer:
subtracting both equations
3x-10y=14
3x-9y=15
- - =-
_________
0-y=-1
y=1
then putting the value of y in first eqn
3x-10×1=14
3x=24
x=8
so x is 8and y is 1
find the equation of the line shown
Answer:
[tex]y = - 1x + 9[/tex]
Step-by-step explanation:
Remmeber:
[tex]Slope = \frac{rise}{run} [/tex]
Classify the triangles as acute obtuse or right
Answer:
Acute
Obtuse
Right
Acute
Step-by-step explanation:
To see if a triangle is acute, right, or obtuse, you use something similar to the pythagorean theorem:
Let a and b be the shorter sides, c be the longest side.
If a^2+b^2 > c^2, then the triangle is acute.
If a^2+b^2 = c^2, then the triangle is right.
If a^2+b^2 < c^2, then the triangle is obtuse.
Factor each polynomial: 9x-6
Answer:
3(3x−2)
Step-by-step explanation:
how will rational numbers help in future
Answer:
They are used to share something among friends , Like if there are four friends and they want to divide a cake equally among themselves , then the quantity of cake that each friend will get will be one-fourth of the cake , That is a rational number 1/4.
Step-by-step explanation:
short answer it won't trust me
A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. How far did the car travel in 5 minutes?
Answer:
3.75 as a decimal
Step-by-step explanation:
Which calculation will ALWAYS give a result greater than 1? A.8/9 × a number less than 1 B.1 2/5 − a fraction less than 25 C. 7 × a number less than 1 D.3/7 + a fraction less than 1/2
Answer: B.1 2/5 − a fraction less than 2/5
Step-by-step explanation:
Question was not formatted properly and in the proper format, the above is the answer.
1²/₅ - ²/₅ = 1
Any number therefore that is lower than ²/₅ will when subtracted from 1²/₅ give an answer greater than 1 because when ²/₅ was subtracted from 1²/₅, it gave 1 as an answer.