Answer:
[tex]A=2044[/tex]
Step-by-step explanation:
Note that [tex]x\in\mathbb{W}[/tex] denotes that [tex]x[/tex] is a whole number.
By definition, consecutive numbers follow each other when we count up (e.g. 1, 2, 3).
Let's consider our conditions:
A, B, and C are consecutive whole numbers greater than 2,000A is a multiple of 4B is a multiple of 5C is a multiple of 6Since B is a multiple of 5, the ones digit of B must be either 0 or 5. However, notice that the number before it, A, needs to be a multiple of 4. The ones digit of a number preceding a ones digit of 0 is 9. There are no multiples of 4 that have a ones digit of 9 and therefore the ones digit of B must be 5.
Because of this, we've identified that the ones digit of A, B, and C must be 4, 5, and 6 respectively.
We can continue making progress by trying to identify the smallest possible whole number greater than 2,000 with a units digit of 6 that is divisible by 6. Notice that:
[tex]2000=2\mod6[/tex]
Therefore, [tex]2000-2=1998[/tex] must be divisible by 6. To achieve a units digit of 6, we need to add a number with a units digit of 8 to 1,998 (since 8+8 has a units digit of 6).
The smallest multiple of 6 that has a units digit of 8 is 18. Check to see if this works:
[tex]C=1998+18=2016[/tex]
Following the conditions given in the problem, the following must be true:
[tex]A\in \mathbb{W},\\B\in \mathbb{W},\\C\in \mathbb{W},\\A+1=B=C-1,\\A=0\mod 4,\\B=0\mod 5,\\C=0\mod 6,[/tex]
For [tex]C=2016[/tex], we have [tex]B=2015[/tex] and [tex]A=2014[/tex]:
[tex]A\in \mathbb{W},\checkmark\\B\in \mathbb{W},\checkmark\\C\in \mathbb{W},\checkmark\\A+1=B=C-1,\checkmark\\A=2014\neq 0\mod 6, \times\\B=2015=0\mod 5,\checkmark\\C=2016=0\mod 6\checkmark\\[/tex]
Not all conditions are met, hence this does not work. The next multiple of 6 that has a units digit of 8 is 48. Adding 48 to 1,998, we get [tex]C=1998+48=2046[/tex].
For [tex]C=2046[/tex], we have [tex]B=2045[/tex] and [tex]A=2044[/tex]. Checking to see if this works:
[tex]A\in \mathbb{W},\checkmark\\B\in \mathbb{W},\checkmark\\C\in \mathbb{W},\checkmark\\A+1=B=C-1,\checkmark\\A=2044=0\mod 4,\checkmark\\B=2045=0\mod 5,\checkmark\\C=2046=0\mod 6\checkmark[/tex]
All conditions are met and therefore our answer is [tex]\boxed{2,044}[/tex]
What is the slope of the line containing (-2, 5) and (4,-4)?
O A. 3/2
O B. -2
O C -3/2
O D. 2
Answer:
Option C is correct.
Step-by-step explanation:
[tex]slope \: = \: \frac{y2 - y1}{x2 - x1} [/tex][tex] = \frac{ - 4 - (5)}{4 - (2)} [/tex][tex] = \frac{ - 9}{4 + 2} [/tex][tex] = \frac{ - 9}{6} [/tex][tex] = \frac{3( - 3)}{3 - 2} [/tex][tex] = - \frac{3}{2} [/tex]Hope it is helpful....after 2 years the population of a town will be 33620 at the population growth rate of 2.5% pa find the present population of the town.
Answer:
Step-by-step explanation:
The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.
[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so
a = 32000
The initial population is 32000
Х
32°
X =
degrees.
please
Answer:
58
Step-by-step explanation:
90+32= 122
180-122=58
Answer:
X = 122°
Step-by-step explanation:
A triangle has 180 degrees total in it. You need the degree next to the x in order to solve.
32° + 90° = 122°
180° - 122° = 58°
The line is 180°.
180° - 58° = 122°
So x - 122°
Sorry if this was hard to understand but I hope I helped :)
O 131 If cos 23°=P, express without the use of a calculator the following in terms of p.
Cos203°
Answer:
cos203° = - p
Step-by-step explanation:
Using the addition formula for cosine
cos(a + b) = cosacosb - sinasinb
cos203°
= cos(180 + 23)
= cos180°cos23° - sin180°sin23°
= cos180°. p - 0
= - 1 . p
= - p
The value of a two digit number whose units digit is u and the sum of the digits is 7
write an algebraic expression
Answer:
The expression is 70 - 9 u .
Step-by-step explanation:
Digit at ones place = u
Let the digit at tens place is y.
Sum of the digits is 7.
y + u = 7
y = 7 - u
So, the number is
10 y + u
= 10 (7 - u) + u
= 70 - 10 u + u
= 70 - 9 u
30 POINTS
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
40.
PLEASE GIVE EXPLANATION
Answer:
3.61%
Step-by-step explanation:
Mathematics, calculator
Answer:
Step-by-step explanation:
If we are looking for the probability that the battery lasts between 7 and 8 years, we find the z-score for the probability that it lasts less than 8 years, and then subtract from it the z-score for the probability that it lasts less than 7 years. This subtraction will give you what's left: the span in between 7 and 8 years. To find the z-score:
[tex]z=\frac{x_i-\mu}{\sigma}[/tex] Therefore,
P(x < 8) has a z-score of
[tex]z=\frac{8-5}{1.2}=1.667[/tex] The p-value that accompanies this z-score is .99379 (which translates to 99.379% of the data falling below 8 years) and
P(x < 7) has a z-score of
[tex]z=\frac{7-5}{1.2}=2.5[/tex] The p-value that accompanies this z-score is .95224 (which translates to 95.224% of the data falling below 7 years).
Subtract the p-value of 2.5 from the p-value of 1.667 to get
.99379 - .95224 = .04155 = 4.16%, choice A.
A population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there in 5 years?
In right triangle ABC
a.30°
b.45°
c.60°
d.75°
Answer:
c
Step-by-step explanation:
30°+90°+x=180° (the sum of interior angle of a triangle is 180°)
120°+x=180°
x=180°-120°
x=60°
10. A moving van company charges a fee of 35.00 dollars for the truck rental and 25 cents for every mile the truck travels from the loading location. Let y be the cost in dollars for using the truck for x miles. Write the slope-intercept form of the equation.
Answer:
y=0.25x+35
Step-by-step explanation:
if the truck doesn't have to travel at all, it costs $35 for the loading fee, so the y-intercept is (0, 35). As x increases by 1, y increases by 0.25, so the slope is 0.25. Therefore, the equation is y=0.25x+35
Answer:
y = .25 x + 35
Step-by-step explanation:
Total cost = cost per mile * number of miles * flat fee
y be the cost in dollars
x = miles
y = .25 x + 35
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
BRAINLIET TO THE FIRST.....AND PLZZ HURRY.....
What is the volume of the oblique cone? Round to the nearest tenth.
Formula for the volume of a cone: V = 1/3 x pi x r^2 x h
Since this is a right cone, the height is given as 8.5 and the radius is 4.
V = 1/3 x pi x 4^2 x 8.5
V = 1/3 x pi x 16 x 8.5
V = 1/3 x pi x 136
V = 45 1/3 pi
V = 142.4 cubic units
Hope this helps!
Answer:
142.4 units^3
Step-by-step explanation:
We use the same formula for volume as for a cone
V = 1/3 pi r^2 h
V = 1/3 pi (4)^2 ( 8.5)
= 1/3 pi (16)(8.5)
Letting pi = 3.14
=142.34666667
Rounding to the nearest tenth
= 142.4
Identify a transformation of the function f(x) = _x by observing the equation
of the function g(x) = x+1.
Answer:
2nd option
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here g(x) = [tex]\sqrt{x}[/tex] + 1
The base graph f(x) has been shifted up 1 unit
If A = -x + 2x - x + 1 and B = x² + 5, find A + B.
Answer:
6 + x^2
Step-by-step explanation:
Plug in the values for A and B.
(-x + 2x - x + 1) + (x^2 + 5)
Remove the parenthesis. Combine like terms.
-2x + 2x = 0
1 + x^2 + 5
Combine like terms again.
6 + x^2
Y+y+y+y rewrite in multiplication
Answer:
4y
Step-by-step explanation:
y+y+y+y
= (1+1+1+1) y
= 4y
Answer:
4y
Step-by-step explanation:
Y+y+y+y
Combine like terms
4y
The entrance fee to a local waterpark is $28 per person. At the waterpark, you can rent a raft for $2.50 per hour. Which expression is equivalent to
the amount it would cost Colton for h hours in the park if he rented a raft? �� 2.50h - 28
�� 2.50 (h - 28)
�� 2.50h + 28
�� 2.50 (h + 28)
Answer:
C
Step-by-step explanation:
The 28 is independent of the number of hours. Both B and D are incorrect.
You don't subtract the 28 from the total. That's part of the total. A is wrong.
The answer is C
I need help with this question. Pls give me an answer /steps and explanations.
[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]
Answer:
Express your answer using positive exponent.
[tex]\bold{(5st³u^{9}v^{7})(6s⁴t^{6}uv)}[/tex]
adding power of common term and multiply constant term:
[tex]\bold{5*6*s^{1+4}*t^{3+6}*u^{9+1}*v^{7+1}}[/tex]
[tex]\bold{30s^{5}*t^{9}*u^{10}*v^{8}}[/tex]
[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]
Answer:
[tex]30s^5t^9u^{10}v^8[/tex]
Step-by-step explanation:
We'll be using the following exponent property to solve this problem:
[tex]a^b\cdot a^c=(a)^{b+ c}[/tex]
This will allow us to combine terms with the same variable.
In [tex](5st^3u^9v^7)(6s^4t^6uv)[/tex], we have four variables, [tex]s[/tex], [tex]t[/tex], [tex]u[/tex], and [tex]v[/tex].
Let's start with the [tex]s[/tex] terms, [tex]5s[/tex] and [tex]6s^4[/tex]. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.
Therefore, combine using the exponent property I mentioned above:
[tex]5\cdot 6\cdot s^1\cdot s^4=30\cdot s^{1+4}=30s^5[/tex]
Next, we'll move on to the [tex]t[/tex] terms, [tex]t^3[/tex] and [tex]t^2[/tex].
Combine using the exponent property:
[tex]t^3\cdot t^6=t^{3+6}=t^9[/tex]
Repeat for the [tex]u[/tex] and [tex]v[/tex] terms:
[tex]u^9\cdot u=u^{9+1}=u^{10}[/tex]
[tex]v^7\cdot v=v^{7+1}=v^8[/tex]
Finally, combine all the terms together:
[tex]\implies \boxed{30s^5t^9u^{10}v^8}[/tex]
At a breakfast buffet, 63% of people choose coffee for their beverage while 23% choose juice,
Also, 20% choose both coffee and juice. What percentage of people chose coffee only
The percentage of people who chose only coffee will be 43%.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
At a breakfast buffet, 63% of people choose coffee as their beverage while 23% choose juice.
Also, 20% choose both coffee and juice.
Then the percentage of people who chose only coffee will be given by the difference of 63% and 20%.
⇒ 63% - 20%
⇒ 43%
Thus, the percentage of people who chose only coffee will be 43%.
More about the sets link is given below.
https://brainly.com/question/8053622
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HELP ASAP!!!!! Which statement is not always true for a parallelogram?
Answer:
D
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary.
Thus statement D is not always true.
rule. L1
b)
I
R = (24, 28)
S = (4, 20)
Q = (28, 12)
P = 8,4)
R' = (36, 4)
S = (16,-4)
*Q' = (40, -12)
P' = (20, -20)
Determine the transformation rule for the translation
from PQRS to P'QʻR'S'
Answer:
(x+12, y-24)
Step-by-step explanation:
The rule is (x, y) -> (x+12, y-24)
How would you graph 6x-5y=13
Answer:
Step-by-step explanation:
5y=...:
y=5-13
y=-8=>5y=-58
6x-(-58)=13
6x+58=13
6x =13-58
6x =-45
x =-45:6
x =-7.5
Do the activity please it's trigonometry
Answer:
SinA=k/g
cotA=k/j
secA=g/j
cosecB=g/k
tanB=l/k
cosB=k/g
Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has 3 cities, 3 months, and 1 airline to choose from. How many different vacation packages do they offer?
=___
Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3
Answer:
Step-by-step explanation:
Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3
Is (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis a solution of the graphed system of inequalities?
Hi there!
»»————- ★ ————-««
I believe your answer is:
No.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
If we mark the point at (3, -3), the we can tell that the point does not lie in any shaded region. This means that it is NOT a solution to the system.See the graph attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
No, (3, -3) is not the solution to the graphed system of inequalities.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
From the graph,
The point of intersection is (2, 3).
This is the solution to the graphed system of inequalities.
But,
(3, -3) is given as the solution which is not true.
Thus,
(3, -3) is not the solution.
Learn more about inequalities here:
https://brainly.com/question/20383699
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a particle P moves in a straight line such that, t s after leaving a point O, its velocity v ms^-1 is given by v=36t - 3t^2 for t>_ 0
1) find the value of t when the velocity of P stops increasing
2)find the value of t when P comes to instaneous rest
3) find the distance of P from O when P is at instaneous rest
4) find the speed of P when P is again at O
Answer:
jajjskslslskjsjxjj k k
A. 4
B.-1/4
C. 4
D. 1/4
they sold $62 by selling 4 adult tickets and 2 student tickets. find the cost of an adult ticket.
Answer:
Because this question was posted 4 days ago I'm assuming that you Oliver don't need any help anymore,... BUT,... with the amount of info given it is not possible to answer the question for example,...
They could sell: 4 adult tickets costing $15 each and 2 student ones cost $1 dollar each,...All of that adding up to $64
Or they could sell: 4 adult tickets costing $10 each and 2 student ones cost $11 dollar each,...All of that adding up to $64
OR still (you're probably annoyed by now,... sorry) they could sell: 4 adult tickets costing $6 each and 2 student ones cost $19 dollar each,...AND All of that adding up to $62
You get the point,... Hope that helped and see you in life,... (well actually because we're probably never going to meet each other in real life then no I probably won't see you in life,... but, I mean, you get the idea) Chow!
How tall is a stack of cube-shaped blocks whose volumes are 375 in3, 648 in3 and 1,029 in3? Round your answer to the nearest tenth. Hint: Volume = s3
Answer:
Step-by-step explanation:
Given = 1/(−3), what is ((+ℎ)−())/ℎ ?
Answer:
-(1/(x+h-3)(x-3))
Step-by-step explanation:
y=1/(x-3)
(f(x+h)-f(x))/h=(1/(x+h-3)-1/(x-3))/h=-(1/(x+h-3)(x-3))
Are the ratios 11:9 and 2:1 equivalent?
yes or no
Answer:
no
Step-by-step explanation:
We can determine if they are equivalent if the cross products are equal
11 2
----- = ------
9 1
11*1 = 2*9
11 = 18
This is false so the ratios are not equivalent
While standing outside Carmen's Computer Store,Phyllis noticed that 14 people left the store and 10 people entered the store. Later, 5 more people entered and 13 people left.What was the net increase or decrease in the number of people in Carmen's Computer Store? A. An increase of 12 / B. decrease of 12 C. an increase of 42 / D . decrease of 42
Answer:
B. decrease of 12
Step-by-step explanation:
Number of people who left the store = 14
Number of people who entered the store = 10
Again,
Number of people who left the store = 13
Number of people who entered the store = 5
Total people who left the store = 14 + 13
= 27 people
Total people who entered the store = 10 + 5
= 15 people
Number of people remaining in the store = Total people who entered the store - Total people who left the store
= 15 - 27
= -12
This means there is a net decrease in the number of people in Carmen's Computer Store
