Hey!
so for the first one its 60°, and for the second one its 1/6
Factor 125q^6 − r^6s^3.
Answer:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
Step-by-step explanation:
Factor the following:
125 q^6 - r^6 s^3
Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.
125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:
(5 q^2)^3 - (r^2 s)^3
Hint: | Factor the difference of two cubes.
Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):
(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (5 q^2)^2.
Multiply each exponent in 5 q^2 by 2:
(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Evaluate 5^2.
5^2 = 25:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (r^2 s)^2.
Multiply each exponent in r^2 s by 2:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minutesYellow line6 minutes All three trains just arrived at the station. When will they next all arrive at the station at the same time? They will all arrive at the station in minutes.
Answer:
60 minutes
Step-by-step explanation:
Given the schedule above :
Red line arrives every 4 minutes
Blue line arrives every 5 minutes
Yellow line arrives every 6 minutes
All three just arrives at the train station ; when next will they all arrive at the train station at the same time.
Obtain the lowest common multiple of each arrov time :
Lowest common multiple of 4, 5, 6
_2___4___5___6
_2___2___5___3
_3___1___ 5 __ 3
_5___1___ 5 __ 1
_____1 ___1 ___1
Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60
Hemce, they all arrive at the train station at the same time after 60 minutes
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5
Answer:
[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]
Step-by-step explanation:
[tex] \text{5x + 4 + 2x + 5}[/tex]
[tex] \text{Combine \: like \: terms} : [/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]
➝ [tex] \text{ 7x + 4 + 5}[/tex]
[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]
[tex] ➝ \: \text{7x + 9}[/tex]
[tex] \text{Hope \: I \: helped}[/tex]!
[tex] \text{Best \: regards}[/tex]!
~[tex] \mathfrak{TheAnimeGirl}[/tex]
Answer:
7x + 9
Step-by-step explanation:
Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.
5x+2x = 7x
5+4 = 9
therefore:
7x+9
Does anyone know what f(x)=-5x-1 when f(-7) i need help with this please.
Answer:
f(-7) = 34
Step-by-step explanation:
If f(x) = -5x - 1, then . . .
f(x) = -5x - 1
f(-7) = -5(-7) - 1
= 35 - 1
= 34
. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.
ax+bx=c solve for x
Answer:
x= c/a+b
Step-by-step explanation:
straws are sold in packs and boxes
there are 15 straws in each pack
there are 48 straws in each box
Tricia buts p packs of straws and b boxes of straws
write down an expression in terms of p and b for the total number of straws bought by Tricia
Write the equation of the line in slope-intercept form containing the point (2,4) and with a slope of
3/2.
Answer:
y=3/2x+1
Step-by-step explanation:
y=mx+b is the slope-intercept form
y=3/2x+b
we are looking for b now
plug in the points you provided
2=x, 4=y
4=3/2(2)+b
4=3+b
b=1 which is the intercept
Solve for x: 3(x + 1) = −2(x − 1) − 4.
Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4 (Use the distributive property on both sides)
3x + 3 = -2x + 2 - 4 (collect like terms on the right side)
3x + 3 = -2x - 2 ( add 2x on both sides)
5x + 3 = -2 ( subtract 3 on both sides)
5x = - 5 (divide by 5 on both sides)
x = -1
Two consecutive odd Integers have a sum of 72. What are the two odd
Integers
Answer:
35 and 37
Step-by-step explanation:
Answer:
35 and 37
Step-by-step explanation:
what is 8.8x10^5 in standard notation?
Answer:
880,000
Step-by-step explanation:
Move the decimal in 8.8 five places to the right.
Can anyone help me ?
What is the equation of the line that passes through the point (5, - 2) and has a slope of - 2/5
Answer:
Y=-2/5x
Step-by-step explanation:
Y-int: (0,0)
x-int:(-2,5)
Measure the angle and classify it as right, acute, or obtuse.
Answer:
b
Step-by-step explanation:
i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
If 3x - 8 = 9x+5/2, what is the value of x+ 7?
See attachment for math work and answer.
help please order the temperatures from least to greatest !
-0.8 C
-1.2 C
0.5 C
- 2.0 C
0.8 C
Can someone translate this graph to me? It’s supposed to tell me how much dirt is in cubic yards
Can anyone help me out with this Algebra 2 question?
Answer:
i was taught it would be answer D
Step-by-step explanation:
Answer:
The right answer is C
and this how it looks like on the graph
A parabola has its axis of symmetry at x = -2 and passes through the point (-5, 6). Find another point that passes through the parabola.
Answer:
(1,6)
Step-by-step explanation:
Since the parabola is symmetrical at x=-2, we know that if you take the value for (x-a) and (x+a) where a is any constant, the y values will be the same for both of those x coordinates. so, we can take the coordinate that we know, (-5,6), realize that it is -3 away from -2. then we can add three to get 1 and use the same y coordinate, getting (1,6)
8.
Which of the following is a negative
rational number that is not an integer?
А -pi
B -4.5
C -2
D 5 squared
Write the slope intercept form (y = mx + b) of the equation of the line through the given points with the given slope. Through:(2,-4), slope =-1
y = mx +c
Substitute the values,
-4 = -1(2) + c
c = -2
Thus, the equation is y= -x -2
Write an equation for the line that passes through the given point and is parallel to the
graph of the given equation. Write your final equation in slope-intercept form.
2. 3x + 4y = 12; (-4,7)
What is the square root of 51.84
−2(−x+4) − 3x+2= −5 what is x?
Answer:
−2(−x+4) − 3x+2= −5 what is x? Well i might be wrong but i think its 2x
Step-by-step explanation:
PEMDAS USE THAT METHOD
Answer: x=-1
Step-by-step explanation:
During a lunch period, a survey is done about the students at LCHS with the following results:
1 out of 28 students are wearing a blue t-shirt
1 out of 2 students are girls
1 out of 3 students has a class in C Hall
1 out of 14 students are in band
What are the chances (probability) of randomly selecting a female band member wearing a blue t-shirt who has a class in C hall? Show work.
Answer:
1 in 47.
Step-by-step explanation:
Add all of the outcomes (28 + 2 + 3 + 14).
You'll get 47.
Do not add the 1s.
There is your answer.
1 in 47.
Camillo needs 2,400 oz of peanut butter.
What size container should Camillo buy?How many of those containers will he need?What will be the total cost of those containers?
Answer:
1. 32
2. 75
3. 384
Step-by-step explanation:
I did the assignment, on EDGE2020 and got it correct
PLEASE HELP I DONT UNDERSTANDDDD I WILL MARK BRAINLY IF CORRECT
In a petri dish, a certain type of bacterium doubles in number every 20
minutes.
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
A. 410
Ο Ο
B. 27
O C. 210
O D. 221
Answer:
C. 2^10
Step-by-step explanation:
Law of indices
a^x + a^y = a^(x+y)
2^3 × 2^7
=2^(3+7)
=2^10
I don’t understand can u please get help
Answer:
If one angel is 74 so the solution is
[tex]74 + 2x = 180 \\ 2x = 180 - 74 \\ x = 106 \div2 \\ \: x = 53 \\ u = 74 \\ v = 53 \\ w = 53[/tex]
Step-by-step explanation:
Please mark as brainliest
Anybody Need help!? I'm on here for 1 more hour! :)
Answer:
i need help on this
What are some other things that have been engineered to help people deal with the effects of gravity?
Do you know how to do this- How does Douglass’s cultural point of view as a slave from the early 1800’s shape his motivation to become literate, yet also create obstacles for him? Provide at least two examples from the text. Write at least a 100-word response.
Like- I've been stuck for an hour
What is the value of k?
Answer:55
Step-by-step explanation: