Answer:
y = 90
Step-by-step explanation:
A direct variation is
y = kx where k is a constant
30 = k(-3) from the first set of points
30/-3 = -3k/-3
-10 = k
The equation is y = -10x
Let x = -0
y = -10 * -9
y = 90
Three cyclists simultaneously start their movement from the same point at 7 am. Their routes take 10 minutes, 25 minutes and 15 minutes, respectively. When will be the first time that the three cyclists meet again at the starting point?
Answer:
The 3 cyclists will meet at the starting point again after 150 minutes.
Step-by-step explanation:
Since they start at the same point but then take different times to each route, then to find the first time they will each meet at the starting point, we have to find the lowest common multiple (LCM).
Let's use prime factorization to get it.
Prime factorization of 10 = 2 × 5
Prime factorization of 15 = 3 × 5
Prime factorization of 25 = 5 × 5
Thus,super set = 2, 3, 5, 5
Thus,LCM = 2 × 3 × 5 × 5 = 150
Thus,the 3 cyclists will meet at the starting point again after 150 minutes.
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 28t2 – 24t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
A. 0 months
B. 2 months
C. 4 months
D. 6 months
In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when [tex]t > 0[/tex]
Profit after t months:
[tex]P(t) = t^4 - 10t^3 + 28t^2 - 24t[/tex]
0 months:
This is P(0). So
[tex]P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0[/tex]
1 month:
This is P(1). So
[tex]P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5[/tex]
2 months:
This is P(2). So
[tex]P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0[/tex]
3 months:
This is P(3). So
[tex]P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9[/tex]
4 months:
This is P(4). So
[tex]P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32[/tex]
5 months:
This is P(5). So
[tex]P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45[/tex]
6 months:
This is P(6). So
[tex]P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0[/tex]
7 months:
This is `P(7). So
[tex]P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175[/tex]
After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.
For another example of a function involving numeric value, you can check https://brainly.com/question/24231879
What is the image of (1, -6) for a 90° counterclockwise rotation about the origin?
(-6, -1)
(-1, -6)
(-1, 6)
(6, 1)
Answer:
D
Step-by-step explanation:
As the counter clockwise rule is A(x,y) becomes A'(-y,x).
So (1, -6) becomes (6, 1)
Hope it helps you
What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem?
Answer:
You need to know that pairs of two angles are congruent and the pair of sides adjacent to one of the given angles are congruent
Place groups of potential participants in order from largest group size to smallest: population, sampling frame, sample, individual being surveyed
Answer:
Population - - > Sampling Frame - - > Sample - - > Individual being surveyed
Step-by-step explanation:
Population is the largest as they include all units or subject of interest in a particular study or experiment. Next is the sampling frame which is the a list or compilation of all subjects which can form part of a sample. It is a compilation of all elements in the population from which the sample can be drawn.
The sample is a subset of the population of population, usually selected at random and it is representative of the population.
The individual surveyed represents a single subject or observation from the chosen sample.
Create 2 equations that have a solution at (-2, 5)
Answer:
y=5 x=-2
Step-by-step explanation:
the easiest answer would be a vertical or . horizontal line
Graph the functions on the same coordinates axis.
What are the solutions to the systems of equation?
Step-by-step explanation:
the answer is in the graph above
use DESMOS app it helps
please answer will give brainliest
Answer: 29152332 ≡ 0 (mod 3)
Step-by-step explanation:
In modular arithmetic, there is the form a ≡ b (mod m) where b is the remainder.
To solve this problem, we want to divide 29152332 by 3 and find the remainder.
29152332 ÷ 3 = 9717444
Since we get an integer with no remainder, we know the answer is 29152332 ≡ 0 (mod 3).
x= -5 -4 -3 -2 -1 0
f(x)= 0 -2 6 7 -5 3
What is f(f(-1)?
Answer:
f(f(-1)) = 0
Step-by-step explanation:
Ok I'm assuming that's supposed to be a chart of some kind. So first, you have to find what f(-1) is according to the chart.
According to the chart, if x = -1, then f(-1) is -5
Now comes the next part of the equation. So you need to find f(-5)
-5 was already founded by f(-1) bc it's first in the parantheses.
f(-1) is -5
so we need to find f(-5)
According to the chart f(-5) is 0
So ur final answer is gonna be 0
helpppp plzzz i have till 2 plzzz
Answer:
Yes, because 1 & 2 have to be the same
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Supplementary means 180 degree.
∠1 + ∠3 = 180 ----> eq. 1
∠2 and ∠3 are linear pair angles which are also supplementary.
∠2 + ∠3 = 180 ----> eq. 2
∠3 = 180 - ∠1 ----> eq. 3
( from eq. 1 )
∠3 = 180 - ∠2 ----> eq. 4
( from eq. 2 )
From, eq. 3 and eq. 4,
180 - ∠1 = 180 - ∠2
Subtract 180 on both sides.
180 - 180 - ∠1 = 180 - 180 - ∠2
- ∠1 = - ∠2
Multiply - 1 on both sides,
∠1 = ∠2
Since,
∠1 = ∠2
Sides opposite to them also equal
So, AC = BC
If any two sides in a triangle is equal, then the triangle is an isosceles triangle.
Therefore,
Δ ABC is isosceles.
Select the correct answer.
The variable b varies directly as the square root of c. If b= 100 when c = 4, which equation can be used to find other combinations of band c?
Step-by-step explanation:
b varies as √c
b=kc
divide both side by c
k=b/c
k=100/4
k=25
the equation is:
25=b/c
HELP ASAP!!!
THANK YOU!!!!
Answer:
V = 56 cm^3
Step-by-step explanation:
Volume is given by
V = l*w*h where l is length w is width and h is height
V = 7*4*2
V = 56 cm^3
Answer:56
Step-by-step explanation:
The formula for a rectangular prism is V=whl
V=(7)(4)(2)
7 times 4 is 28
28 times 2 is 56
suppose you roll to standard number cubes. let event a be rolling a 4 on the first die and let event b be rolling a 3 on the second die. are a and b independent events? are a and b mutually exclusive events. explain.
Answer:
The events are independent and are not mutually exclusive.
Step-by-step explanation:
Two events A and B are independent if the outcome of each of them does not affect the outcome of the other.
And two events are mutually exclusive if these can't occur at the same time.
Here the events are:
a = rolling a 4 on the first die
b = rolling a 3 on the second die.
Becuase, these are number cubes, we know that the outcome of one die has no impact in the outcome of the other die.
And because each outcome is on a different die, we can conclude that these events are independent.
(rolling a 4 in the first die does not change the probability of getting a 3 when we roll the second die).
Now, the events are mutually exclusive?
No, we can roll both dices and get a 3 in the first one and a 4 in the second one, so these events can happen in the same time.
Answer:
YES.
Step-by-step explanation:
The event rolling a number '4' and the event rolling a number '3' are mutually exclusive events because both of them cannot occur at the same time.
Just took quick check
find the value of x that makes A||B
Answer:
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr====yzzzdccccccccccccc
Step-by-step explanation:
Which of the following equations is NOT an example of inverse
variation?
1. f(x) = kx
11. f(x) = 2k/x
III. f(x) =-kx/z
Answer:
i and iii are not examples of inverse variation.
Step-by-step explanation:
Inverse variation between two variables, y and x, is written as:
y = k/x
This means that, as the absolute value of x increases, the absolute value of y decreases.
So we need to have the variable in the denominator.
Let's analyze the given options:
i) f(x) = k*x
Here, x is not in the denominator, this is a direct variation, so this is not an example of inverse variation.
ii) f(x) = 2k/x
Here we can see that the variable x is in the denominator, thus, this is an inverse variation.
iii) f(x) = -k*x/z
We can see that we have z in the denominator, but you can see that the variable is x, and x is in the numerator, thus, this is not an example of inverse variation.
We can conclude that:
f(x) = kx
and
f(x) =-kx/z
Are not examples of inverse variation.
In how many ways can a
television programming director
schedule six different
commercials in the six time slots
allocated to commercials during a
1-hour program?
n!
Note: „P,
(n-r)!
Please HELP ME!!!!!!
Answer:
720
Step-by-step explanation:
Using the equation given
[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]
Find the lettered angles in each of the following.
( where a point o is given , it is the centre of the circle) .
t=46°
u=134°
v=23°
w=23°
Answer:
Solution given;
v=w [base angle of triangle]
<SPQ+<SRQ=180°[sum of opposite angle of a cyclic quadrilateral is 180°]
81+v+53+w=180°
134°+v+v=180°
2v=180°-134°
v=46/2
v=23°
w=v=23°
In triangle ∆ PQR
v+w+u=180°[sum of interior angle of a triangle]
23+23+u=180°
u=180°-46°
u=134°
again
In triangle ∆ PSR
t+81+53=180°
t=180°-134°
t=46°
Answer:
t and u are supplementary as opposite angles of a cyclic quadrilateral.
t = 180 - (81 + 53) = 46u = 180 - t = 180 - 46 = 134v and w are equal as opposite angles to equal sides.
v = w = 1/2(180 - u) = 1/2(180 - 134) = 23What is the height, x, of the equilateral triangle shown?
Answer:
B
Step-by-step explanation:
- Divide the base by 2
10 / 2 = 5 in
- multiply by √3
5√3 in
The width, w, of a rectangular rug is 4 less than its length, L . If the perimeter of the rug is 120 square feet, which equation could be used to find the dimensions of the rug?
a. L(4-L) = 120
b. L(L-4) = 120
c. 2(L-4) + 2L = 120
d. 2(4-L) + 2L = 120
Helpp please and thank u :')
Answer:
b
Step-by-step explanation:
HELP PLEASE
BRAIN FOR CORRECT
Answer:
Step-by-step explanation:
-7q+12r=3q-4r
-10q=-16r
r=(5/8)q
I think its correct
Answer:
r = 5/8(q)
Step-by-step explanation:
−7q + 12r = 3q − 4r
Add 4r to both sides:
−7q + 12r + 4r = 3q − 4r + 4r
−7q + 16r = 3q
Add 7q to both sides:
−7q + 16r + 7q = 3q + 7q
16r = 10q
Divide both sides by 16:
(16r)/16 = (10q)/16
r = 5/8(q)
There were 234 beads in each bag Lisa bought 3 bags of beads and have 87 beads away how many beads did she have left
the market price of an article is 150000 it is sold while going to 15% discount and made by profit 1500 find the cost price of motorcycle
Answer:
126,000
Step-by-step explanation:
150,000 * .15 = 22,500
150,000 - 22,500= 127,000
127,000 - 1500 = 126,000
125 = a 5 ise a kaçtır? A3 B) 4 C) 5 D) 25
Answer:
D
Step-by-step explanation:
25×5=125
I hope it helps
Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
Answer:
Yes. It represents [tex]m = h + 1000[/tex] (where h is hours of training and m is monthly pay).
Find the length of RX. PLEASE HELP ASAP!
A.7.96
B.76.11
C.76.53
Answer:
B
Step-by-step explanation:
We want to find RX.
Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.
Thus, we can use the tangent ratio. Recall that:
[tex]\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]
Substitute:
[tex]\displaystyle \tan6^\circ = \frac{8}{RX}[/tex]
Take the reciprocal of both sides:
[tex]\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}[/tex]
Multiply both sides by 8:
[tex]\displaystyle RX = \frac{8}{\tan6^\circ}[/tex]
Use a calculator (make sure you're in Degrees mode!):
[tex]\displaystyle RX\approx 76.1149[/tex]
Hence, our answer is B.
Please help me find the length of the line!
Answer:
The length of the segment is 10.
Step-by-step explanation:
Think of the segment as the hypotenuse of a right triangle.
Draw the legs and label the lengths.
See the picture below.
The length of the hypotenuse is c.
c^2 = a^2 + b^2
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
c = 10
Answer: 10
f(x) = x^2 + 1 is limited to (0, 1, 2, 3), what is the maximum love you all of the range?
Answer:
2
Step-by-step explanation:
f(x)=x^2+1
now,
f(1)=1^2+1
=1+1
=2
Explain the connection between ∠2 and ∠B.
A triangle has angle measures 50 degrees, 65 degrees, and B. 2 lines extend from a horizontal line to form 3 angles. The angles are 50 degrees, 2, 65 degrees.
Answer:
∠2 ≅ ∠B
Step-by-step explanation:
Let the triangle be ABC,
Given that,
∠A = 50°
∠C = 65°
Using angle-sum property of the triangle,
∠A + ∠B + ∠C = 180°
50° + ∠B + 65° = 180°
∵ ∠B = 65° ...(i)
A.T.Q.
Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.
Since the adjacent angles comprising a straight line is equals to 180°.
so,
∠2 + 50° + 65° = 180°
∠2 + 115° = 180°
∠2 = 180° - 115°
∵ ∠2 = 65° ...(ii)
Using (i) and (ii),
∠2 ≅ ∠B
Therefore, ∠2 and ∠B are congruent to one another.
Answer: Sample Response: The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent.
Step-by-step explanation: its the sample response
In a pet shop, there are 6 kittens. Three kittens will be donated to a nursing home.
How many different 3-kitten groups are possible?
A.60
B.20
C.120
D.18
Answer:
20
Step-by-step explanation:
There are 6 ways to choose the first kitten, 5 ways the second, 4 ways the third
6*5*4
But order doesn't matter
Divide by the number of items factorial
3! = 3*2*1 = 6
6*5*4
--------
6
20
Please help me :)))!!!!!!
Answer:
16 × X + 3=
Step-by-step explanation:
u will get your answer
