Given:
The system of inequalities is
[tex]x\leq 5[/tex]
[tex]x\geq a[/tex]
To find:
The values of a for which the system has no solution.
Solution:
We have,
[tex]x\leq 5[/tex] ...(1)
It means the value of x is less than or equal to 5.
[tex]x\geq a[/tex] ...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get
[tex]a\leq x\leq 5[/tex]
But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.
officials begin to release water from a man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express you answer as a fraction reduced to the lowest terms, if needed.
Answer:
34²/7
Step-by-step explanation:
Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank
The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16
The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30
¹/16-¹/30= ?
Get the LCM of the denominator which is 240
The fractions are now
15/240-⁸/240=⁷/240
1week=⁷/240 empty
? = 240/240 empty
Cross multiple
240/240×1÷7/240
240/240×1÷240/7=240/7
7÷240=34²/7 weeks
Find JH
G. H. I. J
2. 12.
Answer:
JH = 17
Step-by-step explanation:
GH = 2
IJ = 12
GI = 7
find: JH
HI = 7 - 2
HI = 5
JH = 12 + 5
JH = 17
Help please, this is definitely not my area of expertise.
Answer:
she will make 1,815
equation:55x+1
Answer:
Equation: 55 + B = A
Ammount amy earns if she sells 33 books: 88 dollars
Step-by-step explanation:
they let us know that she earns 55 dollars a week. this is the minimum she can earn in a week. So 55 is just 55. she cant earn more or less than 55 a week by just working there. the variable is the ammount of books she sells every week. Every book she sells gives her an extra one dollar to her overall wage per week. so 55 is the base and the one dollar per book is the variable that changes depending on how much she sold. So the equation would the base of 55 and the variable 1x (x being the ammount of books being sold and the 1 being how much money she makes from each book) and now just put them together with a plus sign and it would look like this
55 + 1x = ...
If she was to sell 33 books and shes earning 1 dollar per book 1(33), we only change the x from x to 33
55 + 1(33) which gives us 88
HOPE THIS HELPED. DON'T FORGET TO MARK THIS AS THE BRAINLIEST ANSWER AND GIVE IT A 5 STAR FOR ANYONE IN THE FUTURE STRUGGLING TO DO THIS SAME PROBLEM. HAVE A NICE DAY!!!
4/3y = 16 solve for y
Answer:
y=12
Step-by-step explanation:
First we should rewrite the left side to look like
4y/3=16
Then multiply 3 to both sides
4y=48
Now divide by 4
y=12
The equivalent value of the expression is y = 12
Given data ,
Let the equation be represented as A
Now , the value of A is
( 4/3 )y = 16
On simplifying the equation , we get
( 4/3 )y = 16
So , the left hand side of the equation is equated to the right hand side by the value of ( 16 )
Divide by 4 on both sides , we get
( 1/3 )y = 16/4
( 1/3 )y = 4
Multiply by 3 on both sides , we get
y = 4 x 3
On simplifying , we get
y = 12
Therefore , the value of y = 12
Hence , the expression is y = 12
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ6
Find the area of the surface. The part of the surface z = xy that lies within the cylinder x^2 + y^2 = 9
Answer:
The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
Step-by-step explanation:
Given that,
The equation of cylinder is
[tex]x^2+y^2=9[/tex]
The part of the surface z = xy
The coordinates is,
[tex]z_{x}=y[/tex]
[tex]z_{y}=x[/tex]
We need to calculate the value of ds
Using formula of ds
[tex]ds=\sqrt{1+z_{x}^2+z_{y}^2}dA[/tex]
Put the value in to the formula
[tex]ds=\sqrt{1+y^2+x^2}dA[/tex]....(I)
We know that.
The polar coordinates,
[tex]x=r\cos\theta[/tex]
[tex]y=r\sin\theta[/tex]
The general equation of cylinder is
[tex]x^2+y^2=r^2[/tex]
compare from given equation
[tex]x^2+y^2=3^2[/tex]
0<=θ<=2π, 0<=r<=3
Area element in polar coordinates is,
[tex]dA=r dr d\theta[/tex]
Put the value of dA in equation (I)
[tex]ds=\sqrt{1+r^2}r dr d\theta[/tex]....(II)
We need to calculate the area of surface
Using equation (II)
[tex]s=\int_{0}^{2\pi}\int_{0}^{3}\sqrt{1+r^2}r dr d\theta[/tex]
[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+r^2)^{\frac{3}{2}})_{0}^{3}d\theta[/tex]
[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+3^2)^{\frac{3}{2}}-(1+0^2)^{\frac{3}{2}})d\theta[/tex]
[tex]s=(\dfrac{1}{3}((10)^{\frac{3}{2}}-1)\theta)_{0}^{2\pi}[/tex]
[tex]s=\dfrac{1}{3}(10^{\frac{3}{2}}-1)(2\pi-0)[/tex]
[tex]s=\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
Hence, The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
it would rlly help so much Please I will give brainmast
Answer: The top right
Step-by-step explanation: The top left is a line segment so incorrect,
the bottom left is a ray so also incorrect, and finally, the bottom right is just a dot so that is also incorrect.
Hope this helped!
Mark Brainliest if you want!
Answer:
Top photo on right (the one with two arrows on the sides)
Step-by-step explanation:
Top left photo is a segmentBottom left photo is a rayBottom right photo is a dotSo, the only one left is the top right photoI hope this helps!
joseph accepted a new job at a company with a contract guaranteeing annual raises. Joseph will get a raise of $5000 every year and had a starting salary of $70000. Write an equation for S, in terms of N, representing Josephs salary after working n years for the company.
Answer:S = 70,000 + 5000n
The equation that can be used to represent Josephs salary after working n years for the company is S = 70,000 + 5000n
How to write equation?Annual increase in salary = $5000Starting salary = $70,000S = Josephs salary after working n yearsn = number of yearsThe equation:
S = 70,000 + 5000(n)
S = 70,000 + 5000n
If n = 2
S = 70,000 + 5000n
= 70,000 + 5000(2)
= 70,000 + 10,000
= $80,000
Learn more about equation:
https://brainly.com/question/13763238
#SPJ2
Which statement best explains whether these ordered pairs represent a function? (-4, 2) (6, 7) (-8, 3) (9, 10) (12, 14) (6, 9)
Answer:
These ordered pairs does NOT represent a function.
Step-by-step explanation:
One of the x-values repeast (6), which is not a characteristic of a function. Because so, it also does not pass the vertical line test because it would pass through the points twice.
-100x5 + 90?????????????????????????
Answer:
-410
Step-by-step explanation:
:)
Answer:-410
Step-by-step explanation:
7. George went to the general store to buy provisions. He bought food items
worth $35. He had a $25 gift card for the store and he also paid $5 in cash.
How much debt does George have with the store?
I need it in ten minutes plz help
Answer:
He needs to pay $5
Step-by-step explanation:
$25 + $5 = $30 < how much he paid
$35 - $30 = $5 < how much more he needs to pay
Answer:
21
Step-by-step explanation:
21 yeet
brainlest plz is 21 if you dont brainlest you are gay
1. Solve the shape equation puzzle:
= 8
=
= 15
Mrs. Royal has 99 Royal Recognition awards to give out. Each class received 9 awards. How many classes received awards
Answer:
11
Step-by-step explanation:
you just divide it
Answer:
11
Step-by-step explanation:
I thought collage students could do simple division...
Lol
Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
(a) y = 3sinx
(b) y = 3xsinx - 5xcosx
(c) y = -3 / 2xcosx
(d) y = 3cosx
(e) y = 3 / 2xsinx
Answer:
C
Step-by-step explanation:
We must compute the derivatives and check if the equation is satisfied.
A. . Differentiate again to get , then so this choice of y doesn't solve the equation.
B. and , then so y is not a solution
C. hence . Then so y is a solution.
D. and , then thus y isn't a solution
E. hence . Then then y is not a solution.
The midpoint of AB is M(0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?
Answer: (-2,-7)
Step-by-step explanation:
The coordinates of B is (-2, -7).
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.]
Given:
Let the coordinates of B be (x, y).
We have to find the coordinates of B.
According to given question we have,
Then, (x + 2) / 2 = x-coordinate of M = 0.
So, x = -2.
(y + 1) / 2 = y-coordinate of M = -3.
So, y = -7.
Therefore, the coordinates of B is (-2, -7).
Learn more details about co-ordinate geometry here:
https://brainly.com/question/21094061
#SPJ2
how many solutions does the following equation have 8u+3(1/3u-6)=9u+2u+12
how many solutions does the following equation have [tex] 8u+3(1/3u-6)=9u+2u+12[/tex]
Without even working out anything we can easily tell the answer is [tex]1[/tex] because the degree of the equation is one.
If you haven't learned this yet let me know and I will post the manual work.
:)
Answer:
1 solution
Step-by-step explanation:
When put in general form, the coefficient of u is non-zero, so there is 1 solution.
0 = 9u +2u +12 -(8u +3(1/3u -6))
0 = 11u +12 -8u -3(1/3u -6)
0 = 3u +12 -u +18
0 = 2u +30 . . . general form equation
0 = u +15
-15 = u . . . . . one solution
HELP ME PLEASE!!!!!!!!!!4(a+2)=8+4a
Answer:
a can be anything. There are infinite solutions.
Step-by-step explanation:
[tex]4(a+2)=8+4a[/tex]
Expand:
[tex]4a+4\times\:2=8+4a[/tex]
[tex]4a+8=8+4a[/tex]
Subtract 8 from both sides:
[tex]4a+8-8=8+4a-8[/tex]
[tex]4a=4a[/tex]
Subtract 4a from both sides:
[tex]4a-4a=4a-4a[/tex]
[tex]0=0[/tex]
Since both sides are equal, a has infinite solutions as no matter what value it is, it will not affect the end result of [tex]0=0[/tex] which is true.
-√121 + 5 please help fast
Answer:
-6
Step-by-step explanation:
answer ASAP. Subject is math
Answer: option C is wrong
Please help with this
Answer:
Step-by-step explanation:
Since O is the center of the circle, from that point to any point that lies on the outside of the circle will have the same measure. That's worded weird. From point O to A, which is a radius, the length of that radius is 12. That means that the length from point O to any point on the outside of the circle will also measure 12. So from O to B is also 12. For y, we have a rule for when 2 lines tangent to a circle meet at a single point outside the circle. The 2 tangent lines are equal in length. So that means that if AC is 19.6, the CB is also 19.6. Your answer choice is 4.
Which of these relations are functions?
Write each product as a power. 10⋅10⋅10⋅10⋅10⋅10⋅10= pls help im dumb lol
Hey there!
ANSWER: [tex]10^7[/tex]EXPLANATION:[tex]10*10*10*10*10*10*10 \text{ as a power}[/tex]
To write as power, you will see how many times you multiply the number 10.
[tex]10(1)*10(2)*10(3)*10(4)*10(5)*10(6)*10(7)\\\text {It was multiplied 7 times}[/tex]
Since it was multiplied 7 times, you would write it like this.
[tex]10^7(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Find the product. (-10) • (-10) • (-10)
Answer:
-1000
Step-by-step explanation:
-10 times -10 makes 100 as negative cancel each other
100 times -10 make -1000
Answer:
-1000
Step-by-step explanation:
-(10x10x10)
-10^3
-1000
If AB=CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
Answer:
None of them are correct
Step-by-step explanation:
In the number 4,118, how does the value represented by the 1 in the hundreds place compare with the value represented by the 1 in the tens place?
Answer:
its 10 times
Step-by-step explanation:
its because the value of 1 in the ten place and multiply by 10 to get the 1 in the hundred place or the 1 in the hundred place divide by 10 to get 1 in the tens place
Forty seven hundredths in standard form
Answer is .47
Fourty seven hundredths in standard form is .47,
find the first three terms of the sequence with nth term 2n+4
Answer:
To find out the first three terms of 2n + 4 substitute 1 ,2 and 3 into the equation.
2(1)+4=2+4=6
2(2)+4=4+4=8
2(3)+4=6+4=10
As you can see the sequence goes up in 3s 6 ,8, 10 To find out the 9th term you also substitute 9 into the equation so
2(9)+4=18+4=22
Hope this helped!
bsolute Value is the distance from
ero - whether to the right or left on a
umber line - it's the SAME distance
nd DISTANCE is always ....
Positive or negative
Answer:
The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..
Step-by-step explanation:
Negative
I hope this helps :)
7n-(4n-3) simply to create a equivalent expression?
Answer:
3n + 3
Step-by-step explanation:
Step 1:
7n - 4n + 3
Answer:
3n + 3
Hope This Helps :)
The equivalent expression is 3n + 3.
To simplify the expression 7n - (4n - 3), distribute the negative sign inside the parentheses:
7n - (4n - 3) = 7n - 4n + 3
Simplifying further, combine like terms:
7n - 4n + 3 = (7n - 4n) + 3 = 3n + 3
To know more about equivalent here
https://brainly.com/question/25197597
#SPJ6
3.5 with a line on top of five =
Answer:
7/2
Step-by-step explanation:
PLZZZ HELP WILL GIVE BRAINLIST
Answer:
2. C-40 3. A-1/85
Step-by-step explanation:
hope it helps