The inequality that represents the solution of the graph is
2x - 3 < 5.
An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.
We have a inequality graph as shown.
The inequality that represents the solution of the graph given is -
2x - 3 < 5
on solving, we get -
2x < 8
x < 4
Therefore, the inequality that represents the solution of the graph is
2x - 3 < 5.
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Use 3.14 to approximate pi, and express your final answer in hundredths.
-----ft3
2.
A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make a cylinder with a radius of 16 cm.
What was the height of the cylinder?
Use 3.14 to approximate pi, and express your final answer in tenths.
------cm
3.
A cone-shaped container sits inside a larger cone. The inner cone has a height of 3 in. and a diameter of 6 in. The outer cone has the same diameter and is 15 in. tall. The extra space in the outer cone is filled with crushed ice to keep the contents of the inner cone cool.
What is the volume of crushed ice?
Use 3.14 to approximate pi, and express your final answer in hundredths.
------in3
4.Jade scooped sand from a completely filled cylinder using a cone-shaped container. The cylinder had a diameter of 12 in. and a height of 5 in., and was one-fourth full after she scooped one full scoop of sand.
What were the dimensions of the cone-shaped container? Use 3.14 to approximate pi.
A. h = 5 in.; r = 9 in.
B. h = 9.6 in.; r = 15 in.
C. h = 11.25 in.; r = 12 in
D. h = 15 in.; r = 6 in.
5.A cone-shaped container is filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm3 per hour.
How many hours will it take to drain all of the liquid?
Use 3.14 to approximate pi.
--------h
63,789 + 72,983 - 49,367
Give your answer to 2 s.f.
Answer:
87405
Step-by-step explanation:
Answer:
The range of function is
Step-by-step explanation:
Given : Function
To find : What is the range of the function?
Solution :
The range is defined as the set of y values for which function is defined.
We have given function in the vertex form.
The general vertex form is where (h,k) are the vertex of the equation.
On comparing the vertex of the given function is (h,k)=(12,-2)
i.e. The y-values taken is less than -2.
So, the range would be the all y values greater than or equal to -2.
Therefore, The range of function is
Refer the attached figure below of the function.
–0.191
0.191
0.872
Answer:
the answer is -0.872
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
A positive divided by a negative will always be negative.
Answer:
if they are both positive its positive
if ones positive and ones negitive its negative
if they are both negative its positive
Step-by-step explanation:
Answer: Currently 8 action films are being shown
Step-by-step explanation:
Step 1
Ratio of action film to other films = 1:2
which means 1 action movie would be shown for every 2 other films
Total ratio = 1+2 = 3
Step 2
Number of action films shown = ratio of action film/ total ratio x 24 screens
= 1/3 x 24 = 8
Number of other films shown = ratio of other films/ total ratio x 24 screens
= 2/3 x 24 = 16
Currently 8 action films and 16 other films are being shown