Answer:
-1 < x
Step-by-step explanation:
-10 < x - 9
+9. +9
-1 < x
Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to choose a number from the set {−96, −48, −42, −36, −18, −14, −6, 14} that is divisible by either 6 or 8?
Answer:
28 different ways
Step-by-step explanation:
This is a combination question. Combination has to do with selection.
Total number of element in the set = 8
Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}
Total number divisible by 6 or 8 is 6
The number of ways we can choose 6 items from 8 is expressed as;
8C6 = 8!/(8-6)!6!
8C6 = 8!/(2)!6!
8C6 = 8*7*6!/2!6!
8C6 = 8*7/2
8C6 = 56/2
8C6 = 28 ways
Hence there are 28 different ways
Dose y = 7.2x represent a proportional relationship, if so identify the constant of proportionality. If not, explain why not.
Answer:
Yes it does
The constant of proportionality is 7.2
Step-by-step explanation:
Here, we are to determine if the expression represents a proportionality relationship
From the question, we can see that this is so
If we placed x beneath y, we will have
y/x = 7.2
So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship
A culture of bacteria triples by the end of each hour. If there were initially 40 bacteria in a culture, how many bacteria should there be after 3 hours?
Answer:
There would be 1080 bacteria in the culture.
Step-by-step explanation:
Initial number of bacteria = 40
Given that
culture of bacteria triples by the end of each hour
Number of bacteria after 1 hour = 40*3 (multiplying initial number of bacteria by 3)
Number of bacteria after 1 hour = 120
number of bacteria after 2 hours = 3*Number of bacteria after 1 hour = 3*120
number of bacteria after 2 hours =360
number of bacteria after 3 hours = 3*Number of bacteria after 2 hour = 3*360 = 1080
Thus,
there would be 1080 bacteria in the culture.
Answer:
1080 bacteria
Step-by-step explanation:
Which equation represents a line that passes through the two points in the
table?
Answer:
C. y - 5= 5/3 ( x - 3 )
Step-by-step explanation:
I used a graphing calculator
Translate the inequality and solve. Three times a number is less than or equal to six.
Answer:
x ≤ 2
Step-by-step explanation:
We can write out the inequality as: 3(x) ≤ 6
You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.
Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?
Answer:
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
solve for x . Please help !
Answer:
x = 12.489996 ft
Step-by-step explanation:
In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.
The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.
Basically:
[tex]x^2 + y^2 = h^2[/tex]
Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:
[tex]x^2 = h^2 - y^2[/tex]
[tex]x=\sqrt{h^2 - y^2}[/tex]
Then plug in the values:
[tex]x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996[/tex]
The rectangle shown
The air pressure P is inversely proportional to the altitude h. write the related variation equation
Step-by-step explanation:
P * h = k, where k is a real constant.
Max ran 8 miles on Thursday. One mile is equal to 5,280 feet. Which
proportion can be used to determine how many feet, x, Max ran on
Thursday?
Answer:
5280x=y
Step-by-step explanation:
5280(8) = 42240
Please help me solve this answer.
Answer:
1 hour 2 min 20 secStep-by-step explanation:
Given
6 min video ⇒ 17 min uploadUpload time of 1 min video
1 min video ⇒ 17/6 min uploadTime to upload of 22 min video
22 min video ⇒ 22*17/6 = 62 1/3 min = 1 hour 2 min 20 sec uploadequation
horizontal asymptote
vertical asymptote
Answer:
Hello,
In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.
So Horizontal asymptote = 2
For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is
y= 0
Rate positively and give brainlist
Which statement about proteins is TRUE?
A) You cannot consume complete proteins if you eat a vegetarian diet.
B) Animal products like meat and dairy provide complete proteins.
C) Beans provide all the amino acids the body needs.
D) During digestion, your body combines proteins to make amino acids.
Answer:
The answer is
A.) Animal products like meat and dairy provide complete proteins.
Hope this helps! Have a great day :)
Step-by-step explanation:
I need help with this
Step-by-step explanation:
income income earned working 5 hours is $50
Pls help really fast I don't know this!!!!!
I think it's (3,4) but I am not confident so please be understanding
Answer:
(3, 1 )
Step-by-step explanation:
The centre of the circle is at the midpoint of the diameter.
Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then
midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )
Thus centre of circle = (3, 1 )
Use the information provided to write the equation of each parabola in vertex form and intercept form.
The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?
A. 5/12
B. -12/13
C. -5/12
D. 12/13
Step-by-step explanation:
In Quadrant II, cosine is negative.
We know that sin²x + cos²x = 1, so:
cosx = sqrt[1 - sin²x]
= sqrt[1 - (5/13)²]
= sqrt(144/169)
= -12/13 (since cosx is negative here)
The answer is -12/13. (B)
Option B is correct.
Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.
According to the given question
We have, sin ∅ = 5/13
From the trigonometric identities we know that
[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1
substitute the value of sin∅ in the above identity
[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅ =1
⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅ =1
⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]
⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]
⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]
⇒cos∅ = ±[tex]\frac{12}{13}[/tex]
Since, ∅ is in quadrant II, then cos<0
⇒ cos∅ = -[tex]\frac{12}{13}[/tex]
Hence, option B is correct.
Learn more about quadrant and cast rule here:
https://brainly.com/question/11099638
#SPJ2
I’ll mark as BRANLIEST!!!
45 POINTS!!!
I need help with both questions plz help god loves you all.
Answer:
43
-161
Step-by-step explanation:
Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). What are the coordinates of point B?
Step-by-step explanation:
Let (x, y) be the coordinates of point B.
(4, 6) => (-2, 4) => (x, y)
We have 2(-2) = 4 + x and 2(4) = 6 + y.
Solving these, we get x = -8 and y = 2.
Hence the coordinates of point B is (-8, 2).
Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). Hence the coordinates of point B will be (-8, 2).
What are the coordinates of the midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A (p,q), and B (m,n)
Then let the midpoint be M(x,y) on that line segment.
Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
Let (x, y) be the coordinates of point B.
Q has coordinates of (-2, 4).
A has coordinates of (4,6).
A (p,q) = (4, 6)
M(x,y)= (-2, 4)
B = (x, y)
We have
2(-2) = 4 + x
2(4) = 6 + y.
Solving these, we get
x = -8 and y = 2.
Hence the coordinates of point B will be (-8, 2).
Learn more about midpoint here;
https://brainly.com/question/7358842
#SPJ2
A chrome book cost 249.99 at target on Black Friday it is on sale for 15 % off what is the price of the computer on Black Friday
Answer:
The price is 212.49
Step-by-step explanation:
sorry if wrong.
What is the value of a if a is equal to a×a×a=a+a+a
Answer:
a = ±sqrt(3)
Step-by-step explanation:
a×a×a=a+a+a
Simplifying each side
a^3 = 3a
Divide each side by a
a^3 /a = 3a/a
a^2 = 3
Take the square root of each side
sqrt(a^2) = ±sqrt(3)
a = ±sqrt(3)
Answer:
nope its not equal
a×a×a=a³, but a+a+a=3a
so, a³≠3a
Step-by-step explanation:
i hope this helps....can i have brainliest
MERRY CHRISTMAS!!!......ENJOY UR HOLIDAY!!!
16an - 19an +8b +9an +12 b
Answer:
16an - 19an + 9an + 8b + 12b
6an + 20b
Answer:
6an+20b I believe
Step-by-step explanation:
(-2,5), (-1,8), (0,6), (1,6), (2,7) is function or not a function help
Kelsey painted one-fourth of her bedroom in three-sevenths of an hour. At this rate, how long would it take her to paint the entire room?
A 3/28 of an hour
B 28/3 of an hour
C 12/7 of an hour
D 7/12 of an hour
Write the equation in standard form: -2 (x - 5) = 3y *
0 -2x + 10x = 3y
O y = -2/3x + 10/3
0 -3y - 2x = -10
0 -3-27 = 10
Answer:
In think is the first one
Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, , to the number of ant legs . Elena writes a= 6L and Andre writes l=1/6a . Do you agree with either of the equations? Explain your reasoning.
Answer: Elena would be the correct answer
Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps
Mirah has breakfast at a reaturant. She leaves an 20% tip of $1.80
Answer:
.36
Step-by-step explanatio
the equation of the line through (3 -4) with slope 2/3 is:
WILL GIVE BRAINLIST
Answer:
[tex]y = \frac{2}{3}x - 6[/tex].
Step-by-step explanation:
(3 , -4) ; slope(m) = 2/3
y - y1 = m (x -x1)
[tex]y - [-4] = \frac{2}{3}(x - 3)\\\\y + 4 = \frac{2}{3}x - 3*\frac{2}{3}\\\\y +4 = \frac{2}{3}x-2\\\\ y = \frac{2}{3}x - 2 - 4\\\\ y = \frac{2}{3}x - 6[/tex]
The table below compares a number of shirts bought at a store to the cost of the shirts
4
Number of Shirts
Cost In Dollars
1
1 x 10
2
2 x 10
3
3 x 10
4 x 10
a. Write an expression that represents the cost of s number of shirts,
Answer:
doom
Step-by-step explanation:
Determine the domain on which the following graph of f(x) is negative.
Answer:
there is no graph.
Step-by-step explanation: