Answer:
y≤ -272
Step-by-step explanation:
Multiply both sides by 8/(-1) (8/-1)*-1/8y≤ (8/-1)34y≤ -272
A basketball id stored inside a cylindrical container as shown. The height of the cylinder is 8 inches and its radius is 4 inches. The radius of the basketball is 4 inches. What is the total volume in cubic inches of the space inside the cylinder that is unoccupied
Answer:
[tex]134.041\ \text{in}^3[/tex]
Step-by-step explanation:
r = Radius of sphere = Radius of basketball = 4 inches
h = Height of cylinder = 8 inches
Volume of unoccupied space will be the difference in volume between the cylinder and the basketball
[tex]\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3[/tex]
Unoccupied volume in the container is [tex]134.041\ \text{in}^3[/tex].
Which statements about the system are true?
Select TWO options.
y = 1/3x - 4
Зу - х = -7
A. The system has one solution.
B. The system consists of parallel lines.
C. Both lines have the same slope.
D. Both lines have the same y-intercept.
E. The equations represent the same line.
2 Answers:
B) The lines are parallelC) The lines have the same slope.Parallel lines always have equal slope, but different y intercepts.
==========================================================
Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
Find volume PLS HELP
Answer:
88.3
I just think so
I dont have a 20 letter explantion
Hiro picks up 4 digits cards. He say he can make multiple of 10 from the cards. What is the numbers
Answer:
9 , 4 , 1 , 2
Step-by-step explanation:
Given that Hiro picked up 4 digit cards and the cards will make Multiple of 10
The numbers on the digit cards that will most likely make Multiple of 10 are :
9 , 4 , 1 , 2
in which quadrant will the point lie if ordinate is 3 and abscissa is -7
send a image of solution
Answer:
2nd Quadrant
Step-by-step explanation:
ordinate = y cordinate
abcissa = x cordiante
(-7,3)
( -,+) lies in second quadrant)
Hope u understand
Please mark as brainliest
Thank You
Is x + 15 = 7 true when x = 12?
_________________________
Answer:
no not even if its supposed to be a negative
Step-by-step explanation:
Patrick wants to prepare a salad. He needs 3 cups of cooked macaroni, 3 cups of sliced oranges, 2 cups of sliced apple, 1 cup of chopped celery and 2 cups of mayonnaise. What is the total amount of ingredients?
Answer:
11 cups
Step-by-step explanation:
Answer:
11 cups
Step-by-step explanation:
3 + 3 + 2 + 1 + 2 = x
6 + 3 + 2 = x
6 + 5 = 11
11 cups
or you can just solve directly.
--Applepi101
Answer: The units digit is
Answer: [tex]2^{8065}[/tex]
Can anyone help a fellow out ?
Ariana drew a polygon with 5 sides what is the name
of the polygon she drew?
Representa en los mismos ejes de coordenadas, con colores distintos, las rectas r: y = 2x y s: y = 2x + 1.
Answer:
La gráfica con la rectas citadas se encuentran contenidas en la imagen adjunta.
Step-by-step explanation:
Dado que las rectas [tex]r[/tex] y [tex]s[/tex] son polinomios de primer orden, basta con conocer dos puntos distintos de cada una:
Recta r
[tex]A(x,y) = (0, 0)[/tex], [tex]B(x,y) = (1, 2)[/tex]
Recta s
[tex]C(x,y) = (0, 1)[/tex], [tex]D(x,y) = (1, 3)[/tex]
A continuación, ubicamos los puntos en un plano cartesiano y trazamos las rectas respectivas:
PLEASE HELP ME FAST WILL GIVE POINTS AND BRAINLIEST
Answer:
x = 289 degrees
Step-by-step explanation:
The sum of angle measures in a hexagon is 720 degrees. One can apply this information here, by forming an equation. Add up all of the angle measures, including parameter (x), simplify and use inverse operations to solve for the numerical value of the parameter (x).
100 + 102 + 108 + 121 + x = 720
Simplify,
431 + x = 720
Inverse operations,
431 + x = 720
-431 -431
x = 289
A garden hose is 15 yards long. What is the length of the hose in inches?
Answer:
540 inches
Step-by-step explanation:
1 yard equals 36 inches. Thus, a 15-yard hose has the measurement in inches of (36)(15) = 540
Which decimal is equivalent to 8 3/5 ?
marissa says that the figure below is a rectangle. (the figure is a square). Is Marissa corrects?
Answer:
yes
Step-by-step explanation:
a square is a rectangle but a rectangle is not a square
meaing that a square is a rectangle but not all rectangles are squares
Help!!!!!!!!!!! image below! will give brainliest! no links!
7 1/2 divided by 3/4 equals?
Answer:
The answer is 9 3/5
I hope this helps :)
i hope u can help meeeee!!!
Answer:
1)4,5,8
2)3,6,7
3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7
PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ help
Answer:
a. option is the correct answer
Andrew recorded the number of points his football team scored in each of the ten games of the season. The points are listed below. Which box plot correctly represents this data?
Answer:
the second one
Step-by-step explanation:
hai-
r/3 - 9 ≥ - 2
pls show steps and answer
i’ll mark brainlyest
Answer:
r ≥ 20
Step-by-step explanation:
r/3 - 9 ≥ - 2
r/3 ≥ 7
Multiply both sides by 3
r ≥ 21
Answer: Good deal
Step-by-step explanation:
r/3-9≥2
r ≥ 20
r/3 - 9 ≥ - 2
r/3 ≥ 7
3 r ≥ 20
resuelve la siguiente ecuación trigonométrica 2Sena-√3=0
Surface area of rectangular prism
A class of 22 students split equally a 10 pound bag of candy.
How much did each student get?
(Simplify the answer.)
Each student reserved 2.2 pounds each
Step-by-step explanation:
I divided 22 by 10 and got 2.2 as for each student I am not sure if your teacher wants it simplified to the nearest whole number but if that's the case each student got 2 pounds of candy
Joshua has a rectangular work table. The sides of the table are 40 inches by 25 inches. What is the length of the diagonal of the table.
Given:
Dimensions of the rectangular table are 40 inches by 25 inches.
To find:
The length of the diagonal of the table.
Solution:
Diagonal of a rectangle is:
[tex]d=\sqrt{l^2+w^2}[/tex]
Where, l is the length and w is the width of the rectangle.
Putting [tex]l=40,w=25[/tex] in the above formula, we get
[tex]d=\sqrt{(40)^2+(25)^2}[/tex]
[tex]d=\sqrt{1600+625}[/tex]
[tex]d=\sqrt{2225}[/tex]
[tex]d\approx 47.17[/tex]
Therefore, the length of the diagonal is about 47.17 inches.
Which inequality's solution is represented by the graph?
A)
2x + 6 5 52
B)
-2x + 6 2 52
C)
2x + 6 5 -52
D)
2x - 62-52
It’s B
Because I did it on USA test prep
-3(12 - m) = -1(m - 8)
Answer:
m = 7
Step-by-step explanation:
- 3(12 - m) = - 1(m - 8)
- 36 - (- 3m) = - m - 8
- 36 + 3m = - m - 8
- 36 + 3m + m = - m + m - 8
- 36 + 4m = - 8
- 36 + 36 + 4m = - 8 + 36
4m = 28
4m ÷ 4 = 28 ÷ 4
m = 7
Write an expression to represent the following:
The amount of gallons of water remaining in a swimming pool after x hours is given by the equation,
y = -4,000x + 20,000
How long before the pool is completely drained?
O 1 hour
5 hours
3 hours
6 hours
Answer:
5 hours
Step-by-step explanation:
The pool will be completely drained when y = 0
0 = -4,000x + 20,000
subtract 20,000 from both sides
-20,000 = -4,000x
divide both sides by -4,000
x = 5
Have a good day!
Answer:
5 hours.
Step-by-step explanation:
When it is drained y will be = to zero, so
-4000x + 20000 = 0
-4000x = -20000
x = -20000/ -4000
= 5.
A survey was done to determine the amount of electricity used by residents in a local community. The survey data was compiled into the histogram below. Identify the approximate number of participants in the survey.
a) 150
b) 200
c) 350
d) 450
Given:
The histogram of a survey that represents the amount of electricity used by residents in a local community.
To find:
The approximate number of participants in the survey.
Solution:
Using the given histogram, we get the frequency table:
Electricity usage Frequency
50 23
150 34
250 25
350 26
450 42
Sum of frequencies is:
[tex]23+34+25+26+42=150[/tex]
It means the total number of participants in the survey is 150.
Therefore, the correct option is (a).