Answer:
Only point C. (9,4)
Step-by-step explanation:
To check if the points are inside the region of the inequalities, we just need to use the values of the point in each inequation, and if the point satisfy all inequations, the point is inside the region.
point A = (1,8): s = 1 and t = 8
first inequation: s<24 - 0.66t
1 < 24 - 0.66*8
1 < 18.72 (true)
second inequation: s>12 - t
1 > 12 - 8
1 > 4 (false)
So point A is not inside the region.
point B = (-9,21): s = -9 and t = 21
As we can see from the fourth inequation, the s value needs to be greater than 0, and point B has s negative, so point B is not inside the region.
point C = (9,4): s = 9 and t = 4
first inequation: s<24 - 0.66t
9 < 24 - 0.66*4
9 < 21.36 (true)
second inequation: s>12 - t
9 > 12 - 4
9 > 8 (true)
third inequation: s< 30 - t
9 < 30 - 4
9 < 26 (true)
fourth inequation: s>0
9 > 0 (true)
fifth inequation: t>0
4 > 0 (true)
As all conditions are true, point C is inside the region.
point D = (30,10): s = 30 and t = 10
first inequation: s<24 - 0.66t
30 < 24 - 0.66*10
30 < 17.4 (false)
So point D is not inside the region.
Answer:9,4
Step-by-step explanation:
3x-9y=9 -3x+4y=14 (1,-3) (6,1) (1,-8)
The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Answer:
B
Step-by-step explanation:
In which type of triangle is the orthcenter on the perimeter of the triangle
Answer:
Right Triangle
Step-by-step explanation:
All altitudes meet on the right angle vertex.
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Math question down below
Consider a single spin of the spinner.
Which events are mutually exclusive? Choose all that apply.
a
landing on an unshaded sector and landing on a number less than 2
b
landing on a shaded sector and landing on a 3
c
landing on an unshaded portion and landing on an odd number
d
landing on a shaded sector and landing on an even number
e
landing on a shaded sector and landing on a number greater than 3
The question is incomplete
Find attached to the question, the appropriate diagram
Answer:
a) landing on an unshaded sector and landing on a number less than 2
b) landing on a shaded sector and landing on a 3
Step-by-step explanation:
Mutually exclusive events are two events that can occur separately on their own but they cannot occur together or at the same time.
The options given are explained below:
We have two shaded sectors: 1 and 4
We have two unshaded sectors : 2 and 3
a) landing on an unshaded sector and landing on a number less than 2
Looking at option a, we find out that it is possible for the spinners to land on an unshaded sector separately likewise on a number less than 2 but it cannot land on an unshaded sector AND and number less than 2 because looking at the spinner, the numbers on the unshaded sectors are 2 ( is equal to two) and 3 ( which is above 2).
Therefore this option is mutually exclusive and correct.
b) landing on a shaded sector and landing on a 3
It is possible to land on a shaded sector likewise it is possible to land on a 3 but it is not possible to land on a shaded sector and land on a 3 at the same time.
This is because, the number on the shaded sector is 1 and 4 and the number on the unshaded sector is 2 and 3, we have only one spinner so the spinner can only land on one sector at a time.
Therefore, Option b is a mutually exclusive event and it is a correct option.
c) landing on an unshaded portion and landing on an odd number
The unshaded portion on the spinner has number 2 and 3 on them, therefore it is possible to land on an unshaded portion and odd number which is 3 at the same time.
Option c is not a mutually inclusive event and it is wrong.
d) landing on a shaded sector and landing on an even number
The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and even number which is 4 at the same time.
Option d is not a mutually inclusive event and it is wrong.
e)landing on a shaded sector and landing on a number greater than 3
The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and a number greater than 3 which is 4 at the same time.
Option e is not a mutually inclusive event and it is wrong.
Therefore, option a and option b are mutually exclusive events and they are correct.
Answer:
a. landing on an unshaded sector and landing on a number less than 2
e landing on a shaded sector and landing on a number greater than 3
Step-by-step explanation:
Two events ; for example events A and B are said to be mutually exclusive , if they cannot both occur simultaneously.In set theoretical notation , we say that the two sets A and B are disjoint set.
i.e
A ∩ B = ∅
Pr (A ∩ B) = 0
The intersection of A and B is an empty set and as such there is no intersection.
From the given options; option a and e are correct because ;
a.
landing on an unshaded sector and landing on a number less than 2
Landing on an unshaded portion would 2 or 3.
Landing on a number less than 2 would be 1.
There is no intersection and as such these events are mutually exclusive.
e.
landing on a shaded sector and landing on a number greater than 3
Landing on a shaded portion would be 1 or 4.
Landing on a number greater than 3 would be just 4.
The intersection of both events will be an empty set (∅)
As such these events are not mutually exclusive.
Which of the following statements is not true?
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet and a height of 14 feet. Container B has a diameter of 18 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. After the pumping is complete, what is the volume of the empty space inside Container A
Answer:
First, let's work out the V of container A and B
V_A = pi x (diameter/2)^2 x height = pi x (26/2)^2 x 14 = 2366 pi (ft3)
V_B = pi x (diameter/2)^2 x height = pi x (18/2)^2 x 15 = 1215 pi (ft3)
After pumping water from container A to container B until B is full:
The empty space inside container A would be:
V_empty = V_A - V_B = 2366 pi (ft3) - 1215 pi (ft3) = 1151 pi (ft3) = ~3615.97 (ft3)
Answer:
3,815.1 feet³
Step-by-step explanation:
Volume filled in B = Volume emptied from A
pi × r² × h
3.14 × (18/2)² × 15
3815.1 feet³
How many solutions does this system have?
2x+3y=-3
3x+6y=-9
one
two
an infinite number
no solution
Step-by-step explanation:
I think the answer is one
How many triangles exist with the given angle measures?
Answer:
The answer would be one triangle. it is only one triangle because the sum of the angles of any triangle have to equal 180°. So if you add all of the angles you gave us, that would equal 180°.
I hope that was the answer you were looking for.
Step-by-step explanation:
What is the product of the polynomials below?
(3x^2 - 2x - 3)(5x^2 + 4x + 5)
Answer:
15x^4+2x^3-8x^2-22x-15
Step-by-step explanation:
Answer:
Your answer is
5x^4+2x^3-8x^2-22x-15
Step-by-step explanation:
I just simplified
This is like a stupid question I know how to do it but I just can’t so could someone help
Answer:
-6.7, -28/5, 8.2, 17/2
Step-by-step explanation:
Divide the fractions to turn them into decimals, then organize from least to greatest!
Answer:
The second one
Step-by-step explanation:
Divide 17 by 2 = 8.5
Divide -28 by 5 = -5.6
Therefore:
-28/5, -6.7, 8.2, 17/2
Hope this helps!
Write an equation for the nth term of the arithmetic sequence 56, 48, 40, 32, ....
An equation for the nth term of the arithmetic sequence is an
Answer:
an = 56-8(n-1)
Step-by-step explanation:
This is an arithmetic sequence
The common difference is 48 - 56 =-8
a1 = 56
an = a1+d(n-1)
an = 56-8(n-1)
The region of integration in the xy-plane for the given integral ∫∫R √(4xy) dy dx, where R is the region bounded by x = 0, x = -3, y = 0, and y = -9 - x^2, can be visualized as a triangular region in the first quadrant.
What is the geometric representation of the given integral?The given integral is a double integral of the function √(4xy) over a specific region in the xy-plane. To determine the region of integration, we consider the given bounds: x ranges from 0 to -3, and y ranges from 0 to -9 - x^2.
Starting with the x bounds, x = 0 represents the y-axis, while x = -3 represents a vertical line passing through the point (-3, 0). Thus, the region is bounded by the y-axis on the left and the vertical line x = -3 on the right.
Moving on to the y bounds, y = 0 represents the x-axis, while y = -9 - x^2 represents a downward-opening parabola with its vertex at the origin and its axis of symmetry parallel to the y-axis. Since y is negative, the parabola lies below the x-axis.
By combining the x and y bounds, we obtain a triangular region in the first quadrant. The triangle is formed by the x-axis, the line x = -3, and the curve y = -9 - x^2. This region of integration represents the area over which the function √(4xy) is being integrated.
Learn more about integration
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Which of the following questions describes the equation g + (-4) = -5?
What number, when subtracted from negative four, is equal to negative five?
What number, when added to negative five, is equal to negative four?
What number, when subtracted from negative five, is equal to negative four?
What number, when added to negative four, is equal to negative five?
Answer:
What number, when added to negative four is equal to negative five.
Step-by-step explanation:
Rearange the numbers to get -4+g=-5.
This eqation now reads -4 plus a number g is equal to -5, and can also be read as what number (g) added to -4 = -5.
If we were to solve for g we would get g= -1.
Hope this helps!
G=-1 so
What number, when added to negative four, is equal to negative five
Please help and explain. Thank you :)
Answer:
= 6^13
Step-by-step explanation:
6^3 • 6^10
= 6^3 • 6^10
= 6^(3 + 10)
= 6^13
Answer:D
Step-by-step explanation:
A. 6^3 * 6^10 = 6^13
It has the same base so you will make it stay the same and add the exponents.
A bus took 1 hour and 30 minutes. How many minutes is that?
Answer: 90 mins
Step-by-step explanation:
1hr=60 mins+ 30 mins
Answer:
90 minutes.
Step-by-step explanation:
Conversion ratio of hours to minutes:
1 hour = 60 minutes.
Add the two numbers together:
60 minutes + 30 minutes = 90 minutes.
90 minutes is your answer.
~
The population of browns burg is 25000. In ten years, it is expected to grow by 8.5%. How many people will live there in ten years?
please help mee! ill mark you brainliest! pleaseeee& thank qq!
Answer:172in
Step-by-step explanation:
Answer:
SA=172
Step-by-step explanation:
SA=2lw+2wh+2lh
=2(10)(2)+2(2)(5.5)+2(10)(5.5)
=172
What is example of natural numbers
Answer:
1, 2, 3, and so on are natural numbers.
Step-by-step explanation:
Which situation is most likely to have a constant rate of change?
A. The total amount paid for gas compared with the number of
gallons purchased.
B. Distance a delivery truck travels compared with the number of
deliveries made
) C. Number of flowers in a flower bed compared with the area planted
D. Points scored in a basketball game compared with the number of
quarters played
Answer:a
Step-by-step explanation:
In Circle C, EA and FB are diameters. Identify the following Two major arcs.
Answer:
See explanation
Step-by-step explanation:
Two major arcs:
[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]
Two minor arcs:
[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]
Evaluate functions
х
h(x) = 17+
6
h(-18) =
Answer:-1.277778 i think
Step-by-step explanation:
i think this means h(x) = (17+6)÷x
in which case h(-18) = (17+6)÷(-18) = -1.2777778
would help if you put the question in standard format
Plz help plzzzzzzzzz
Answer:
47.13cm
Step-by-step explanation:
2×3.142×7.5cm
Answer:
47.13
Step-by-step explanation:
c=2πr
c=2×3.142×7.5cm
c=6.284×7.5cm
c=47.13cm
Find the decimal equivalent to 415.
0.26
0.2ModifyingAbove 6 with bar
ModifyingAbove2.6 with bar
ModifyingAbove2.6 with bar
Answer:
[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)
Step-by-step explanation:
We want to find the decimal equivalent of 4/15.
[tex]\dfrac{4}{15}=0.266666666.....[/tex]
Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:
[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]
The correct option is B.
Answer:
i got you bro the answer is 0.26 with a line on top of the 6
Find the equivalent expression.
2^2
Answer:
4
Step-by-step explanation:
2 times by itself would make 4
Hope this helps
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What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters. cubic centimeters
The volume of the given rectangular prism is 108 cubic centimeters.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
Given that, a prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters.
We know that, the volume of a rectangular prism = Length×Breadth×Height
= 4×3×9
= 108 cubic centimeters
Therefore, the volume of the given rectangular prism is 108 cubic centimeters.
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Lilly found 40 seashells. She
put 10 seashells in each bucket. How many
buckets did Lilly use? Show your work.
--------- buckets
Answer:
4 buckets
Step-by-step explanation:
40 divided by 10 is 4
Answer:
4 bucket
Step-by-step explanation:
We can either use division or repeated subtraction in this case! Division is easier!
40/10 = 4
4 groups of 10 is what this looks like! (In this case, 4 buckets of 10 seashells)
Domain: All real numbers
Domain: 3 > 0
Domain: X < 0
Range: All real numbers
Range: y > 0
Range: y < 0
Answer:
Domain: x >0
Range : y < 0
Step-by-step explanation:
What is the value of x?
16
34
The question is in the screenshot attached. Thank you!
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
Help meh................
....
Answer:
71-45 is 26
Step-by-step explanation:
Answer:
71-45 = 26
Step-by-step explanation:
