So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.
In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers
the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element).
Real intervals play an important role in the theory of integration, because they are the simplest sets whose "length" (or "measure" or "size") is easy to define. The concept of measure can then be extended to more complicated sets of real numbers, leading to the Borel measure and eventually to the Lebesgue measure.
Intervals are central to interval arithmetic, a general numerical computing technique that automatically provides guaranteed enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff.
So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.
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A store marks up a laptop 150% from its original price of $399. There is a sale for 25% off all items in the store. What is the sale price for the computer
Answer:
multiply the original price ($299) by the first markup percentage (150%)
299*1.50= $448.50
that is markup price!
then you have to do the sale % (25%)
so you'll multiply your (25%) by your new price ($448.50)
448.50*.25= $112. 125
then you will subtract the sale price ($112.125) by the upcharged price ($448.50)
448.50-112.125= 336. 375
= $336. 38(round off)
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Simplify all the equations, then we have
A. 2 + x = 5, to simplify the equation, then we have
2 + x = 5
x = 3
B. x + 1 = 4, to simplify the equation, then we have
x + 1 = 4
x = 3
C. 9 + x = 6, to simplify the equation, then we have
9 + x = 6
x = - 3
D. x + (- 4) = 7, to simplify the equation, then we have
x - 4 = 7
x = 11
E. - 5 + x = - 2, to simplify the equation, then we have
- 5 + x = - 2
x = 3
The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.
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Suppose the pet food company's strategy is to increase the proportion of sales orders from new stores in each region to 25% during the coming year. Consider the data and proportions of sales from new stores for each region in the first month. Do you think additional training is necessary for all of the sales representatives?
Answer:Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?
Step-by-step explanation:
Yes sales representatives in Midwest and Northeast require more training
Although your question is incomplete attached below is the missing data related to your question
Given that the percentage of new stores in the Midwest and Northeast is below the 25% there will be need for an additional training for the sales representatives in these regions. while the percentage of new stores in the south is above 25% hence there won't be the need for additional sales representative training.
Percentage of new stores for after 1 month
Midwest = ( 66 / 362 ) * 100 = 18.2%
South = ( 115 / 197 ) * 100 = 58.3%
North east = ( 60 / 250 ) * 100 = 24%
Hence we can conclude that to meet up the 25% sales orders from new stores in each region additional training is required for sales representative s in Midwest and North east only.
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What is the mzb?
34°
76°
bº
Answer:
b^=118
the mzb is 42 we add each numbers by 42
What are quadrants examples?
The examples for each of the quadrant is explained below.
Quadrant in math is defined as one of the four regions or sections of the coordinate system and the quadrants are separated by the x-axis and the y-axis and these axes are perpendicular to each other.
Here we have to know the value that must be placed on each quadrant.
Here the first quadrant has both x and y-coordinates are positive.
The second quadrant has the value of the x-coordinate is negative and the y-coordinate is positive.
The third quadrant has both x and y-coordinates are negative.
The fourth quadrant has the value of the x-coordinate is positive and the y-coordinate is negative.
Therefore, the example for each of them are written as
=> Quadrant I = (1, 1)
=> Quadrant II = (-1, 1)
=> Quadrant III = (-1, -1)
=> Quadrant IV = (1, -1)
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hey guys can anyone help me!.
Answer:
m=4
Step-by-step explanation:
Answer:
m = 4
Step-by-step explanation:
The shape on the right is 2/3 times smaller than the shape on the left.
This means multiplying the side lengths of the shape on the left by 2/3 will give you the side lengths of the shape on the right.
Take a look.
[tex]9 * \frac{2}{3} = 18/3 = 6[/tex]
[tex]6 *\frac{2}{3} = 12/3 = 4[/tex]
Therefore, the value of the missing side length, m, is 4.
Item 4
What value of a makes the equation true?
1.7a+0.3a=45
a=−115
a=25
a=135
a=245
Answer:
a = 22.5
Step-by-step explanation:
1.7a+0.3a=45
Add like terms
2a = 45
Divide by 2
2a/2 = 45/2
a = 22.5
[tex]{\huge\fbox\pink{Q}\fbox\blue{u}\fbox\purple{E}\fbox\green{s}\fbox\red{T}\fbox\orange{i}\fbox{O}\fbox\gray{n}}[/tex]
[tex]\maltese[/tex]1.7a+0.3a=45
[tex]{\huge\fbox\blue{A}\fbox\purple{n}\fbox\green{S}\fbox\red{w}\fbox\orange{E}\fbox{r}}[/tex]
[tex]\bold{1.7a+0.3a=45 }[/tex] [tex]\bold{(1.7+0.3)a=45 }[/tex] [tex]\bold{ 2a=45 }[/tex] [tex]\bold{a=\dfrac{45}{2} }[/tex] [tex]\blue{a=22.5 }[/tex]Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
Diana's savings will be 280 dollars after four weeks.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
300 - 5x
Where x represents the number of the week.
We have to determine Diana's savings after four weeks
As per the question, we have
⇒ 300 - 5x
Substitute the value of x = 4 in the above expression
⇒ 300 - 5(4)
⇒ 300 - 20
⇒ 280
This means her savings will be 280 dollars after four weeks.
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The question seems to be incomplete the correct question would be:
Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
What is her savings after four weeks?
Over the last three days it has rained a total of 1 inch. Today it rained 2 8 of an inch and yesterday it rained 3 8 of an inch. How much more did it rain the day before yesterday
So, it rained 15/8 inch the day before yesterday.
The total amount of rain that fell in the last three days is 1 inch. We know that 2/8 of an inch fell today, and 3/8 of an inch fell yesterday. We can add these amounts together to find out how much more it rained the day before yesterday.
To add 2/8 and 3/8, we need to convert the fractions to have a common denominator, which is 8.
2/8 = 2/8 * 1 = 2/8
3/8 = 3/8 * 1 = 3/8
Now we can add the fractions:
2/8 + 3/8 = (2+3)/8 = 5/8
Since we know that the total amount of rain that fell in the last three days is 1 inch, we can subtract the amount that fell today and yesterday from the total amount to find out how much more it rained the day before yesterday:
1 inch - (5/8 inch) = 15/8 inch
Therefore, it rained 15/8 inch the day before yesterday.
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A jet is flying with an air speed of 480 miles per hour at a bearing of N82 °E. Because of the wind, NE° . the ground speed of the plane is 518 miles per hour at a bearing of 79°E.
a- What are the speed and direction of the wind?
b- If the pilot increased the air speed of the plane to 500 miles per hour, what would be the resulting ground speed and direction of the plane?
A) Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE
B)The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.
How to find the direction of the wind?To find the speed and direction of the wind, we can use the fact that the ground speed vector (GS) is the sum of the air speed vector (AS) and the wind speed vector (WS).
Given that:
AS = 480 miles per hour at a bearing of N82°E
GS = 518 miles per hour at a bearing of 79°E
We can use the law of cosines to find the wind speed (WS) and the angle between AS and WS.
WS = √(GS² - AS² + 2AS * GS * cos(GS - AS))
WS = √(518² - 480² + 2(480)(518)cos(79 - 82)) = √(268816 - 230400 + 466560cos(-3)) = √(28672) = 168 miles per hour
Then we can use the angle between AS and WS to find the direction of the wind:
Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE
To find the resulting ground speed and direction of the plane if the pilot increased the air speed to 500 miles per hour, we can use the same method as before.
Given that:
AS' = 500 miles per hour at a bearing of N82°E
GS' = √(AS'² + WS² - 2AS'WS * cos(direction of WS - direction of AS'))
GS' = √(500² + 168² - 2(500)(168)cos(80.5 - 82)) = √(250000 + 28672 + 118400cos(1.5)) = √(284872) = 535.5 miles per hour
The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.
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Evaluate the expression 2a+3d
Answer:
Step-by-step explanation:
Nothing further can be done with this topic
So, your answer would have to be 2a+3d
3x2 – 7x 7x = 4x – 8
Answer:
x =−1−√93/23,−1+√93/23
Step-by-step explanation:
x=0.37581090…,−0.46276742...
can someone please help me
Answer:
58
Step-by-step explanation:
rurjrjirudhdbbxhxiidiejr
Is 8:2 greater than 5:1?
I need someone to help me clarify if this is correct. Thanks.
Answer:
No, 8:2 = 4:1 which is less than 5:1
Step-by-step explanation:
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]8 : 2 \\ = \frac{8}{2} \\ = 4[/tex]
[tex]5 : 1 \\ = \frac{5}{1} \\ = 5[/tex]
8 : 2 = 4, while 5 : 1 = 5.
4 < 5.
•°• 8 : 2 is not greater than 5 : 1.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
What is the solution to the equation 1 over 24 multiplied by x is equal to 1 over 6?
Answer:
1/2
Step-by-step explanation:
simlified would be 1/2
Choose all the quadratic pairs that are equivalent. 1 2 (x + 4)2 = 2 x2 + 8x + 15 = 0 (x − 5)2 = 1 x2 − 10x + 26 = 0 3(x − 1)2 + 5 = 0 3x2 − 6x + 8 =
Answer:
Only equation 1 and 2 are equal.
Step-by-step explanation:
2 (x + 4)2 = 2
2( x² + 8x+ 16) = 2 Applying the square formula
2x² + 16x+ 32 = 2
2x² + 16x+ 32 -2= 0
2x² + 16x+ 30 = 0
2( x² + 8x+ 15)= 0 Taking 2 as common
x2 + 8x + 15 = 0------------eq 1
x2 + 8x + 15 = 0-------------eq 2
(x − 5)2 = 1
x²-10x+25= 1 Applying the square formula
x²-10x+25- 1= 0
x²-10x+24= 0-------------eq 3
x2 − 10x + 26 = 0 -------------eq 4
3(x − 1)2 + 5 = 0
3( x²-2x+1)+5= 0 Applying the square formula
3x²-6x+3+5= 0
3x²-6x+ 8= 0-------------eq 5
3x2 − 6x + 8 =1
3x2 − 6x + 8 -1=0
3x2 − 6x + 7 =0-------------eq 6
( r - 8 ) - ( r + 15 )
Find the Sum or Difference! :)
Answer:
-23
Step-by-step explanation:
Open up the parenthesis
R - 8 - R - 15
R - R - 8 - 15
-23
Answer:-23 ITS SUPER EASY:0
Step-by-step explanation:
Open up the parenthesis
R - 8 - R - 15
R - R - 8 - 15
-23
Two has 4 2/3 pitches of juice. One glass holds 1/6 of a pitcher. How many glasses can teo fill?
Teo can fill 28 glasses in 4 2/3 pitches of juice.
Teo has 4 2/3 pitches of juice.
First we write the improper fraction (mixed fraction) as a proper fraction.
4 2/3
= [(4 × 3) + 2] / 3
= (12 + 2) / 3
= 14/3
One glass holds 1/6 of a pitcher.
Let m number of glasses hold 14/3 pitches of juice.
By unitary method,
m × (1/6) = 14/3
To find the value of m we need to divide fractions.
m = (14/3) / (1/6)
m = (14/3) × (6/1)
m = 14 × 2
m = 28
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Which graph shows a reflection of point A over the line? *
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
the left point in graph B is left 2 and up 1 from the line while the right point is right 2 and down 1 making them a reflection of each other.
What is the prouduct of 2 and 0.73
Answer:
1.46
Step-by-step explanation:
We can represent this problem as an array of dots, where each dot represents 0.73 units.
⚫️ ⚫️
We can see that the resulting product of 2 × 0.73 is just the sum of two dots. We can represent this in equation form as:
0.73 + 0.73
Finally, we can execute the addition by adding the tenths and hundredths of each number separately, then adding everything together at the end.
tenths + hundredths
(0.70 + 0.70) + (0.03 + 0.03)
1.40 + 0.06
1.46
Using the least common denominator rename 3/5 and 11/20?
Answer:
12/20 and 11/20.
Step-by-step explanation:
The least common denominator between 3/5 and 11/20 is 20.
For the first equation, we multiple the numerator and denominator by 4 and we get 12/20.
The second equation already has a denominator of 11/20 so we can leave it as is.
Solve the Equation.
6x−3(x+8)=9
x=?
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
[tex]6x-3(x+8)=9\\6x-3x-24=9\\3x-24=9\\3x=33\\x=11[/tex]
Answer:
X=11
Step by step:
6x-3(x+8)=9
=6x-3x-24=9
=3x-24=9
+24 +24
=3x=33
=3x/3=33/3
X=11
Write each trigonometric ratio as a fraction and as a decimal rounded to
the nearest hundredth.
3. sin C
6. cos C
4. tanA
7. tan C
5. cos A
8. sin A
The trigonometric ratio as a fraction for sinC is , and the decimal is 0.80.
What are trigonometric functions?The trigonometric functions are actual functions that connect the right-angled triangle's angle to the ratios of its two side lengths.
What are the most widely used trigonometric functions?The widely used trigonometric functions are sine, cosine and tangent. The trigonometric functions also operate the inverse of the functions.
For the given triangle the trigonometric values are as follows:
For angle A the opposite side is CB, the adjacent side is AB and the hypotenuse is AC.
For angle C the opposite side is AB, the adjacent side is CB and the hypotenuse is AC.
[tex]sinC = \frac{\text{Opposite side }}{Hypotenuse} = \frac{4}{5} =0.80\\ \\ cosC = \frac{\text{Adjacent side }}{Hypotenuse} =\frac{3}{5} = 0.60\\\\tanA =\frac{\text{Opposite side }}{Adjacent side} = \frac{3}{4} = 0.75\\\\tanC= \frac{\text{Opposite side }}{Adjacent side} =\frac{4}{3} = 1.33\\\\cosA = \frac{\text{Adjacent side }}{Hypotenuse} =\frac{4}{5} = 0.80\\\\sinA= \frac{\text{Opposite side }}{Hypotenuse}=\frac{3}{5} =0.60[/tex]
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A body accelerate from ret and cover a certain ditance in a certain time. Uing thi information, dervive the four equation of a uiformly accelerated motion
The four equations of uniformly accelerated motion are:
[tex]v = u + at\\s = ut + (1/2)at^2\\v^2 = u^2 + 2as\\v = u + 2as/t[/tex]
What is uniformly accelerated motion?Uniformly accelerated motion is motion in which the acceleration is constant. The four equations of uniformly accelerated motion are:
[tex]v = u + at[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.[tex]s = ut + (1/2)at^2[/tex], where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time.[tex]v^2 = u^2 + 2as[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled.[tex]v = u + 2as/t[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, s is the distance traveled and t is the time.These equations are derived from the basic kinematic equations of motion which relate velocity, acceleration, distance and time.
The first equation is a result of the definition of acceleration.
The second one is derived from the first equation and the definition of distance.
The third one is derived from the first and second equation by squaring the first equation and then solving for v^2.
The fourth equation is derived by dividing the distance traveled by the time taken.
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Find the measure of x.
14
X
48
x = [?]
Answer:
18.84
Step-by-step explanation:
x is the hypotenuse of the triangle.
For the 48° angle, 14 is the opposite leg.
The trigonometric ratio that relates the opposite leg to the hypotenuse is the sine.
sin 48° = opp/hyp
sin 48° = 14/x
x × sin 48° = 14
x = 14/sin 48°
x = 18.84
PLS HELP WILL MARK BRAINEST
Answer:
Step-by-step explanation:
Answer is choice A
Both functions are decreasing at a rate of -2. You can find this by finding the slope.
can someone pls help me
Answer:
16. 68
17. 97
18. 81
19. 96
20. 84.2
Step-by-step explanation:
A stem in a stem and leaf plot represents the tens place, and the leaf represents the ones place. The dat represented by the graph is the same exact as the numbers:
68, 75, 77, 79, 80, 82, 92, 96, 96, 97
Just by looking at the data, the minimum is 68 and the maximum is 97.
Next, to find the median, we can cross off the same amount of numbers from both sides until we are left with only two,:
68, 75, 77, 79, 80, 82, 92, 96, 96, 97
To find the median, we just find the mean of 80 and 82, which is 81.
The mode is the number that repeats the most, and that number is 96.
Lastly, to find the mean, we add up all the numbers and divide them by the amount of numbers:
(68 + 75 + 77 + 79 + 80 + 82 + 92 + 96 + 96 + 97) / 10
842 / 10
84.2 would be the mean.
F
E
58>D
C
128
B
128
Answer:
What is the question???
Step-by-step explanation:
The difference between two numbers is 10. The smaller number is 8.
Which of the following is the equation of the statement above?
10 - x = 8
x + 8 = 10
x - 8 = 10
8 - x = 10
Answer:
x - 8 = 10
Step-by-step explanation:
The smallest number is 8 so it's subtracting 8. 10 is the difference between the two numbers because it's the answer.
You are building an entertainment center for a television. You need to
know the width, height, and diagonal of the
television. The width of the television is 36 inches. The length of the
diagonal of the television is 45 inches. Determine the
height of the television.