Answer:
the answer is -5 -p
Step-by-step explanation:
the reason why this is, because negative 5 is less than (-) the variable p.
Which operations are commutative
and associative
Answer:
addition and multiplication
Step-by-step explanation:
The only operations that can use the commutative and associative properties are addition and multiplication.
Answer:
Step-by-step explanation:
Addition and Multiplication on edg.
The sum of two numbers is four and their product is ten. If one number is x, write an expression for the other number
Answer:
4y - y^2 = 10
Step-by-step explanation:
Let x and y be the two numbers
x+y = 4
xy = 10
Taking the first equation and solving for x
x = 4-y
Substituting this into the second equation
(4-y) *y = 10
4y - y^2 = 10
Am confused in this y=(2x+1)² –3x
Differentiate y
Answer:
dy/dx = 8x + 1
Step-by-step explanation:
dy/dx = 2(2x+1)*2 - 3
dy/dx = 4(2x + 1) - 3
dy/dx = 8x + 4 - 3
dy/dx = 8x + 1
Which table represents a function?
Answer:
The first table represents a function.
Explanation:
This is a function because "x" does not have more than one number corresponding "y".
A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers
Answer:
[tex]\huge\boxed{14\ \text{and}\ 7}[/tex]
Step-by-step explanation:
[tex]n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right[/tex]
[tex]\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}[/tex]
[tex]\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}[/tex]
complement of 0.7253
Answer:
Step-by-step explanation:
if it is converting its 7253/10000
to percent 72.53
scientific notation is 7.253 *10-1 the -1 is on top of the 10
What is the base 10 representation of 11102?
Answer:
14 in base 10.
Step-by-step explanation:
working from right to left we have:
0 + 1*2 + 1*2^2 + 1*2^3
= 0 + 2 + 4 + 8
= 14.
Answer:
14
Step-by-step explanation:
trust me
Represent the following numbers as being members of set K: 2, 4, 2, 0,6, 0, 10, 8
Answer:
Hi, explanation and picture Is below :)
Step-by-step explanation:
K would equal: K = {0, 2, 4, 6, 8, 10}
^^^ (that is in order)^^
That would be the correct expression.
The numbers ‘2 and 0’ are both repeated twice...
So if you want to make it as “members of set” you have to represent each one only once, for it to be members of set...
REVEIW:
Question, Represent the following numbers as being members of set K: 2, 4, 2, 0,6, 0, 10, 8....
Answer, {0, 2, 4, 6, 8, 10}....
By: ✨RobloxYt✨
(Picture attached)
Orden the Numbers 3/10, 1/5, 0.25 from last yo greatest
Answer:
1/5, 0.25, 3/10
Step-by-step explanation:
1/5=2/10= 0.2
3/10= 0.3
hopefully this is helpful
Answer:
0.25,1/5,3/10 is the order from last to greater.
Step-by-step explanation:
Hope it will help you :)
Write the equation of the line that passes through (-3,5) and (2, 10) in slope-intercept form. (2 points)
Y=x+8
Y=x-8
Y=-5x-10
Or
Y=-5x+20
WILL GIVE BRAINLIEST!✨
Answer:
y=x+8
Step-by-step explanation:
First you use the points (-3,5) and (2,10) to find the slope and you use the equation y2-y1/x2-x1.
So that gives you 10-5/2-(-3) which equals 1 (that's the slope)
Next you take one set of the points say (2,10) and then plug those numbers into the y=mx+b equation so you have x (2) and y (10) and the slope is m (1).
That gives you 10=1(2)+b
multiply 1*2 and you get 2 and then subtract 2 from both sides to isolate b and then b=8 and that gives you the answer
y=1x+8 or y=x+8
4z (y+1); use y=3, and z=2
Solve 3(2x+16)=11x+8
Which expression is equivalent to 2 (a + 2 b) - a - 2b?
Answer:
2 b + a
Step-by-step explanation:
Simplify the following:
2 (a + 2 b) - a - 2 b
2 (a + 2 b) = 2 a + 4 b:
2 a + 4 b - a - 2 b
Grouping like terms, 2 a + 4 b - a - 2 b = (4 b - 2 b) + (2 a - a):
(4 b - 2 b) + (2 a - a)
4 b - 2 b = 2 b:
2 b + (2 a - a)
2 a - a = a:
Answer: 2 b + a
I need help with this math question (complex fractions and rational expressions). For the answer, I need a step-by-step explanation so I can understand it, thank you :) I tried putting it into Symbolab to understand it but that wasn't very helpful so I think human assistance would be more beneficial haha. [tex](\frac{(7x^{2} + 5x) }{x^{2} + 1 } ) - (\frac{5x}{x^{2} -6})[/tex]
Answer:
can you type it out
Step-by-step explanation:
What property is illustrated by (2x)y = (2y)x?
Answer:
Commutative property
Step-by-step explanation:
In the Commutative property,the sequence or the order of factors of product does not change the value of the product.
Example:
in
12*5 = 5*12
also 12 = 3*4
(3*4)5 = (3*5)4
_____________________________
given
(2x)y = (2y)x
here it can be written as
(2*x)*y = (2*y)*x
removing the bracket for LHS we have
2*x*y ,
applying Commutative property and changing order of x and y
2*x*y = 2*y*x
now again putting the bracket after first two terms
(2x)y = (2y)x
Thus, the expression illustrates Commutative property.
The miles-per-gallon rating of passenger cars is a normally distributed random variable with a mean of 33.8 mpg and a standard deviation of 3.5 mpg. a) What is the probability that a randomly selected passenger car gets more than 37.3 mpg
Answer:
The probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.
Step-by-step explanation:
Let the random variable X represent the miles-per-gallon rating of passenger cars.
It is provided that [tex]X\sim N(\mu=33.8,\ \sigma^{2}=3.5^{2})[/tex].
Compute the probability that a randomly selected passenger car gets more than 37.3 mpg as follows:
[tex]P(X>37.3)=P(\frac{X-\mu}{\sigma}>\frac{37.3-33.8}{3.5})[/tex]
[tex]=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.1587[/tex]
Thus, the probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.
7x-(5x-1)=2 <------ - - - - - - - - - - - - - - Solve and check the linear equation
Answer:
x= 1/2
Step-by-step explanation:
Solving
7x - (5x - 1) = 27x - 5x + 1 = 22x = 2 -12x = 1x = 1/2Checking
7*1/2 - (5*1/2 - 1) = 27/2 - (5/2 - 1) = 27/2 - 3/2 = 24/2 = 22 = 21.A bag contains five black and six white balls.
What is the probability of picking a white ball
is it the possible answers
a.1/11
b.6/11
c.1/5
d.5/11
2. 15 road and 25 black balls in a bag.
What is the probability of selecting a black ball from the ball?
is there possible answers
a. 1/25
b.1/5
c.3/8
d.5/8
Answer:
Step-by-step explanation:
no. of black balls = 5
no. of white balls = 6
total no. of balls = 5 + 6 = 11
The probability of picking a white ball = 6/11
no. of red balls = 15
no. of black balls = 25
total no. of balls = 15 + 25 = 40
The probability of selecting a black ball = 25/40
by simplifying,
25/40 = 5/8
hope this helps
plz mark as brianliest!!!!!!!
what is the solution of this equation w+8=10
Answer:
the answer is 2
Step-by-step explanation:
you subtract 10 by 8 and get 2, so w would be 2
Answer:
2
Step-by-step explanation:
w+8=10
Subtract 8 on both sides
w+8=10
-8 -8
w=2
Verify that the points are the vertices of a parallelogram and find its area. (2,-1,1), (5, 1,4), (0,1,1), (3,3,4)
Answer:
Verified
Area = 13.12 square units.
Step-by-step explanation:
Let the given points / vertices of the parallelogram be represented as follows:
A(2,-1,1),
B(5, 1,4),
C(0,1,1),
D(3,3,4)
In vector notation, we can have;
A = 2i - j + k
B = 5i + j + 4k
C = 0i + j + k
D = 3i + 3j +4k
One of the ways to prove that a quadrilateral is a parallelogram is to show that both pairs of opposite sides are parallel.
(i) Now, let's find the various sides of the assumed parallelogram. These sides are:
AB = B - A = [5i + j + 4k] - [2i - j + k] open the brackets
AB = 5i + j + 4k - 2i + j - k collect like terms and solve
AB = 5i - 2i + j + j - k + 4k
AB = 3i + 2j+ 3k
BC = C - B = [0i + j + k] - [5i + j + 4k] open the brackets
BC = 0i + j + k - 5i - j - 4k collect like terms and solve
BC = 0i - 5i + j - j + k - 4k
BC = -5i + 0j - 3k
CD = D - C = [3i + 3j +4k] - [0i + j + k] open the brackets
CD = 3i + 3j + 4k - 0i - j - k collect like terms and solve
CD = 3i - 0i + 3j - j + 4k - k
CD = 3i + 2j + 3k
DA = A - D = [2i - j + k] - [3i + 3j +4k] open the brackets
DA = 2i - j + k - 3i - 3j - 4k collect like terms and solve
DA = 2i - 3i - j - 3j + k - 4k
DA = - i - 4j - 3k
AC = C - A = [0i + j + k] - [2i - j + k] open the brackets
AC = 0i + j + k - 2i + j - k collect like terms and solve
AC = 0i - 2i + j + j + k - k
AC = - 2i + 2j +0k
BD = D - B = [3i + 3j + 4k] - [5i + j + 4k] open the brackets
BD = 3i + 3j + 4k - 5i - j - 4k collect like terms and solve
BD = 3i - 5i + 3j - j + 4k - 4k
BD = - 2i + 2j + 0k
(ii) From the results in (i) above, it has been shown that;
AB is equal to CD, and that implies that AB is parallel to CD. i.e
AB = CD => AB || CD
Also,
AC is equal to BD, and that implies that AC is parallel to BD. i.e
AC = BD => AC || BD
(iii) Therefore, ABDC is a parallelogram since its opposite sides are equal and parallel.
(B) Now let's calculate the area of the parallelogram.
To calculate the area, we find the magnitude of the cross product between any two adjacent sides.
In this case, we choose sides AC and AB.
Area = | AC x AB |
Where;
[tex]AC X AB = \left[\begin{array}{ccc}i&j&k\\-2&2&0\\3&2&3\end{array}\right][/tex]
AC X AB = i(6 - 0) - j(-6 - 0) + k(-4 -6)
AC X AB = 6i + 6j - 10k
|AC X AB| = [tex]\sqrt{6^2 + 6^2 + (-10)^2} \\[/tex]
|AC X AB| = [tex]\sqrt{36 + 36 + 100} \\[/tex]
|AC X AB| = [tex]\sqrt{172} \\[/tex]
|AC X AB| = 13.12
Therefore the area is 13.12 square units.
PS: The diagram showing this parallelogram has been attached to this response.
Use the first and last data points to find the slope intercept equation of a trend line.
Answer:
y = [tex]\frac{16}{3}x-79[/tex]
Step-by-step explanation:
From the given table,
Two points are (1, 15) and (7, 47)
If the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are lying on a line then slope 'm' of the line will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{47-15}{7-1}[/tex]
= [tex]\frac{32}{6}[/tex]
= [tex]\frac{16}{3}[/tex]
Let the equation of a line passing through (h, k) is,
y - h = m(x - k)
If the line passes through (1, 15)
y - 1 = [tex]\frac{16}{3}(x-15)[/tex]
y = [tex]\frac{16}{3}x-\frac{16}{3}(15)+1[/tex]
y = [tex]\frac{16}{3}x-80+1[/tex]
y = [tex]\frac{16}{3}x-79[/tex]
find the midpoint of the line joining A(3,5) and B(1,3).
Answer:
[tex] \boxed{ \boxed{ \bold{ ( \: 2 , \: 4 \: )}}}[/tex]Step-by-step explanation:
Given,
A ( 3 , 5 ) ⇒( x₁ , y₁ )
B ( 1 , 3 )⇒( x₂ , y₂ )
Let's find the midpoint of the line:
[tex] \sf{ (\frac{x1 + x2}{2} \: , \frac{y1 + y2}{2}) }[/tex]
plug the values
⇒[tex] \sf{( \frac{3 + 1}{2} \: , \frac{5 + 3}{2} )}[/tex]
Add the numbers
⇒[tex] \sf{( \frac{4}{2} \: , \frac{8}{2} )}[/tex]
Calculate
⇒[tex] \sf{(2 \:, 4 \: )}[/tex]
Hope I helped!
Best regards!
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year.
Answer:
27.50
Step-by-step explanation:
First, get the variable on the left–hand side of the equation by subtracting 22x from both sides to get x − 56 = −65. Next, use the property of equality to isolate the variable.
Answer:
variable x has value = -9
Step-by-step explanation:
x − 56 = −65
we have to isolate x by separating it from 56 by using property of equality.
to isolate x, we add 56 on both sides of equation.
x − 56 + 56 = −65 + 56
=> x = -9
Thus, variable x has value = -9
Point M is on line segment \overline{LN} LN . Given LM=5LM=5 and LN=12,LN=12, determine the length \overline{MN}. MN .
Answer: 7 units.
Step-by-step explanation:
Given: Point M is on line segment [tex]\overline{LN}[/tex].
So, point M must divide [tex]\overline{LN}[/tex] into [tex]\overline {LM}[/tex] and [tex]\overline{MN}[/tex].
Such that , [tex]\overline{LN}=\overline{LM}+\overline{MN}[/tex] (i)
Since, [tex]\overline{LM} = 5[/tex] units and [tex]\overline{LN} =12[/tex] units , then we will put values in (i), we will get
[tex]12=5+\overline{MN}\\\\\Rightarrow\overline{MN}=12-5=7[/tex]
Hence, the length of [tex]\overline{MN}[/tex] is 7 units.
plz answer this rnnn plzz will mark a brainliest. it is two pictures.
Answer:
(-1/4, -5 3/4) or (-0.25, -5.75)
Step-by-step explanation:
What’s the perimeter of the square in inches
Answer:
24 inches
Step-by-step explanation:
The perimeter of the shape is 36 inches since the other sides are given as 12 and 3, 6 will be left for the x
12 + 12 + 3 + 3 + x = 36 and x = 6
Susie then drew a square using part of this shape and one side of the square is x inches if one side is x then all fours sides will be x inches
so the perimeter of the square is 4 × x = 24 because we already know x = 6
convert 13.025 to base 10
Find the GCF of
66 yx, 30.x²)
Let's first find the greatest common factor of 66 and 30.
To do this, start by dividing 66 by every natural
number you can until you hit repeat factors.
Also note, we need factors that are natural numbers! No decimals!
66 ÷ 1 = 66
66 ÷ 2 = 33
66 ÷ 3 = 22
66 ÷ 6 = 11
We can stop here because if we continue dividing, we hit repeat factors.
So the factors of 66 are 1, 2, 3, 6, 11, 22, 33, and 66.
Now do the same for 30.
30 ÷ 1 = 30
30 ÷ 2 = 15
30 ÷ 3 = 10
30 ÷ 5 = 6
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
Now look for the largest number shared by the two lists.
In this case, we have 6 as our gcf for the numbers.
Now let's do the variables.
To qualify for the Greatest Common Factor,
the variable must appear in every monomial.
Since the y doesn't appear in every monomial, it does not qualify.
If the variable does appear in every monomial, the Greatest
Common Factor will use the smallest power on that variable.
In this case, the smallest power between x and x² is x.
So our answer is 6x.
Answer:
Mark Me as Brainlieist
Step-by-step explanation:
6x
Please help!!!!!!!!!
All we need to do is substitute and solve.
A = P(1 + rt)
A = 5,100(1 + 0.035*60)
A = 5,100(3.1)
A = 15,810
Therefore, the answer is [ $15,810 ]
Best of Luck!