Answer:
[tex]\frac{19+8\sqrt{3} }{13}[/tex]
Step-by-step explanation:
Given :
[tex]\frac{4+\sqrt{3} }{4-\sqrt{3} }[/tex]Multiply using the reciprocal :
[tex]\frac{4+\sqrt{3}(4+\sqrt{3}) }{4-\sqrt{3}(4+\sqrt{3}) }[/tex][tex]\frac{16+8\sqrt{3}+3 }{16-3}[/tex]Simplify numerator and denominator :
[tex]\frac{19+8\sqrt{3} }{13}[/tex]Estimate the instantaneous rate of change in the percent of households that used the internet
for electronic banking in the year 2000.
The instantaneous rate of change in the percent of households that used the internet for electronic banking in the year 2000 is; 6.8%
How to find the instantaneous rate of change?Formula for instantaneous rate of change is;
f'(x) = (f(b) - f(a))/(b - a)
From the table showing the the percent of households that used the internet for electronic banking in the year 2000, we can find the instantaneous rate of change as;
f'(2000) = (f(2001) - f(1999)]/(2001 - 1999)
f'(2000) = (21.6 - 8)/(2001 - 1999)
f'(2000) = 13.6/2
f'(2000) = 6.8
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please help!!!!!!!!!!
Answer:
8.4852814
Step-by-step explanation:
x^2=11^2-7^2
x^2=121-49
x^2=72
x=8.4852814
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What is the range of the data for the 2018 data?
Range = maximum value - minimum value
The range is $0.39 which is the difference of the max value and min value.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have data given:
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
As we know, the range = Max value—Min value
Here, Max = $2.42
Min = $2.03
Range = 2.42 - 2.03 = $0.39
Thus, the range is $0.39 which is the difference of the max value and min value.
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Evaluate the given expressions.
1. 6^4
2. 3^5
3. 4^3
4. 5^5
Answer:
1. 1296
2. 243
3. 64
4. 3125
What percent of 4c in each expression?
*2a
A percentage is a way to describe a part of a whole. The percentage of 4c that is equal to 0.04c is 1%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The percentage of 4c that is equal to 0.04c can be found as,
x% of 4c = 0.04
(x/100) × 4c = 0.04
[tex]x = \dfrac{0.04c \times 100}{4c}[/tex]
x = 1%
Hence, the percentage of 4c that is equal to 0.04c is 1%.
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Calculating Binomial Probabilities - Suppose you work for an airline and you are taking reservations for a flight on an aircraft that has 152 seats. You know, based on historical flights trends, that if you sell a single ticket there is a 91% chance that the person with the ticket will actually show up for the flight. You decide to try to make a little extra money by overbooking your flight and you sell 160 tickets hoping that not more than 152 people will actually show up for the flight (note: this is a common business practice! Click here to watch a video that explains why)
Explain how this scenario meets the four requirements in the definition of a Binomial Distribution.
Identify what n and p are in this example
Use technology (StatCrunch, Statdisk, or Excel) to calculate the probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available (again, the plane has 152 seats total). Post an image of your technology output using the Insert/Edit Image feature in Blackboard (no attachments!)
Based on this probability, do you think it is a wise business practice to oversell your flight in this manner? Explain.
The probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available is 0.02
How the scenario meet the requirements?The scenario meets the following requirements
The value of n is fixed i.e. 160The outcome has two possible values i.e. seats available or notThe chance that a person shows up is the same for each outcome i.e. p = 91%Each observation is independent.Identify n and pThe given parameters are:
n = 160
p = 0.91 i.e. 91%
x = 152
How to determine the probability?The distribution is a binomial distribution, and it is calculated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n -x}[/tex]
The probability is represented as:
P(x > 152) = P(153) + ..... P(160)
Using a technology tool, we have:
P(x ≤ 152) = 0.02
Conclusion on the calculationProbability values less than 0.25 are unlikely probabilities.
Because the probability value 0.02 is less than 0.25, then we can conclude that it is a wise business practice to oversell your flight in this manner.
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4. Child care Serena wants to open a licensed child care center. Her state requires there be no more than 12 children for each teacher. She would like her child care center to serve 40 children.
1. How many teachers will be needed? 4
2. Why must the answer be a whole number?
3. Why shouldn’t you round the answer the usual way, by choosing the whole number closest to the exact answer?
Answer:
People can not be in fractions
9. Find the midpoint of the segment having endpoints (2.9,−4.4) and (4.4,−2.9).
Answer:
midpoint: (3.65, -3.65)
Explanation:
[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]
where (x1, y1), (x2, y2) are points
[tex]\rightarrow \sf (\dfrac{2.9+4.4}{2}, \dfrac{-4.4-2.9}{2})[/tex]
[tex]\rightarrow \sf (\dfrac{7.3}{2}, \dfrac{-7.3}{2})[/tex]
[tex]\rightarrow \sf (3.65, \ - 3.65)[/tex]
What is the area of a regular nonagon if its apothem
has a length of 6 feet and each side has a length of
7.2 feet?
Answer:
194.4
Step-by-step explanation:
Formula for finding the area of any polygon :
number of sides (n) x 0.5 x length of sides (s) x apothem (a)
Area = 9 x 0.5 x 7.2 x 6 = 194.4
hope this helps :)
Simplify the expression. Write your answer as a power.
6¹⁰/6⁴
The simplified expression is
Answer:
The answer is 6^6
Step-by-step explanation:
When you divide exponents, you actually substract the exponent from the equation
Answer:
[tex]6^4[/tex]
Step-by-step explanation:
Recall the exponent quotient rule [tex]\displaystyle \frac{x^a}{x^b}=x^{a-b}[/tex]
This means that [tex]\displaystyle \frac{6^{10}}{6^4}=6^{10-6}=6^4[/tex]
Can Someone please help me with my math
Answer: option 2 which is 1.825*10^-7
Step-by-step explanation:
For questions 2 z 3. simplify each polynomial
2. 3x²+6-2x+5x-4x²+9
3. 2x²+6x-7x+8-3x²+1
Answer:
2. [tex]-x^{2} +3x+15[/tex]
3. [tex]-x^{2} -x+9[/tex]
Step-by-step explanation:
We add like terms together to simplify
2. 3x²-4x²= -x² -2x+5x= 3x 6+9= 15 all equal to -x²+3x+15
3. 2x²-3x²= -x² 6x-7x= -x 8+1=9 all equal to -x²-x+9
Find the following ratios for two similar figures.
If the side ratio is 4:17, then the area ratio is.....?
Which of the following statements could be translated to the equation n - 5 = -2?
- A number less than five equals negative two.
- The difference between a number and five is negative two.
- If five is subtracted from a number, the result is two.
- Five less a number is equal to two.
please send help :')
Answer:
Answer would be B
Step-by-step explanation:
First, A doesnt make sense, since it isn't a ineqality.
C doesnt make sense because if 5 is subtracted form a number n, it is -2, not 2.
D doesnt work because 5 less a number (-5) is not 2, it is -2.
So B works, because the difference between n and 5 (n-5) is -2.
Select the correct answer.
Which outcome is an advantage of the SMBO approach?
OA. It takes into consideration the point of view of management.
OB. The customer is the focus of this approach.
OC. It provides motivation to salespeople.
OD. It narrows sales to specific items.
SOE.
It allows for the adoption of multiple and changing sales objectives.
An advantage of the SMBO approach it allows for the adoption of multiple and changing sales objectives.
What is SMBO?SMBO is for Sales Management by Objective and is a selling technique or approach that focuses on achieving a specific set of goals. The entire quantity of products sold is known as the sales volume. It can also be expressed in monitory terms.
An advantage of the SMBO approach it allows for the adoption of multiple and changing sales objectives.
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Hey, could someone help me with this? If you could that would be great!
It's a 3 part question, this is the first part.
The quadratic function is f(x) = x^2 - 7.
I would like help on the third question...
Answer:
The correct answer should be C.
Step-by-step explanation:
A. is equal to x² -5.291503x +7
B. is equal to x² +5.291503x +7
C. is equal to x²2 -7
C. is the only one with a negative 7 since (-)(+)= -
The first two numbers in a sequence h are h(1)=2 and h(2)=6
If h is an arithmetic sequence, write a definition for the nth term of h explain or show your reasoning.
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The nth term of the arithmetic series can be defined as hₙ = 4n - 2.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
The nth term of an arithmetic sequence is given by the formula,
aₙ = a₁ + (n-1)d
Since the first term of the arithmetic sequence is 2, while the difference is 4. Therefore, the definition for the nth term of arithmetic sequence,h can be written as,
hₙ = 2 + (n-1)4
hₙ = 2 + 4n -4
hₙ = 4n - 2
Hence, the nth term of the arithmetic series can be defined as hₙ = 4n - 2.
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Luna works at a party supply store. Today, she is filling balloons with helium for the store to sell. She accidentally overfilled the first few balloons and they popped! If t is the total number of balloons she filled, then t–3 is the number of balloons that can be sold. Luna filled 41 balloons today during her time at work.
How many of the balloons Luna filled today can be sold?
Answer:
x=36,y=108,z=72
Step-by-step explanation:
I've taken this test before
It's on the state mandated test as well so make sure to study quadratics
To walk to school, Pablo first walks 1/2 kilometer to Tanya's house.
Then Pablo and Tanya walk 3/5 kilometer to school. How far
does Pablo walk to school?
Answer:
1 1/10
Step-by-step explanation:
1/2 + 3/5
1/2 = 5/10
3/5 = 6/10
6/10 + 5/10 =
1 1/10
IN THE FIGURE BELOW LINES P AND Q ARE PARALLEL. WHAT DO YOU NOTICE
IREADY 50 POINTS!!!
Answer:
-> Supplementary
-> Add up to 180°
Explanation:
A straight line has a measurement of 180°. Supplementary angles are angles that, when added together, equal 180°.
Since angles 5 and 6 make up a straight line, we know they will add up to 180°.
In the figure below, lines p and q are parallel. What do you notice?
the options are alternate exterior,
alternate interior,
vertical, corresponding
and supplemantary.
What I notice about the lines p and q that are parallel is that they are both supplementary angles. Lines p and q are parallel because alternate exterior angles are congruent Lines l and m are parallel because same side interior angles are supplementary Lines l and m are parallel because alternate interior angles are supplementary
his table gives the dimensions for a scale drawing of a house. Every 2 inches on the scale drawing represents 1.5 feet of the original house. Use proportional reasoning to complete the table with the original lengths. A 2-column table with 4 rows. Column 1 is labeled Scale model (inches) with entries 2, 8, 12, 16. Column 2 is labeled Original length (feet) with entries 1.5, a, b, 12. a = b =
The value of the a and b will be 6 and 9 feet. Every 2 inches on the scale drawing represents 1.5 feet of the original house.
What is unit conversion?The process of converting the unit form is known as the unit conversion. For example, in the SI unit system, mass is in kg. While in CGS, it is represented in grams.
The given conversion is ;
[tex]\rm 2 \ inch = 1.5 \ feet \\\\ 1 inch = \frac{1.5}{2} \ feet[/tex]
For 8, 12 inches, the values in feet is;
[tex]\rm 8 \times \frac{1.5}{2} = 6 \ feet[/tex]
[tex]\rm 12 \times \frac{1.5}{2} = 9 \ feet[/tex]
Hence, the value of the a and b will be 6 and 9 feet.
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The value a= 6 and b=9.
What is unit conversion?
The process of converting the unit form is known as the unit conversion.
For example, in the SI unit system, distance is in meter while in CGS, it is represented in cm.
Given that:
2 inch = 1.5 feet
1 inch = [tex]\frac{1.5}{2}[/tex]
then, 8 inches =[tex]\frac{1.5}{2} *8[/tex]
= 1.5*4
= 6 feet
again, 12 inches= [tex]\frac{1.5}{2} *12[/tex]
= 1.5*6
= 9 feet
and, 16 inches =[tex]\frac{1.5}{2} *16[/tex]
= 1.5*8
= 12 feet
The value of a & b is 6 and 9 respectively.
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Which expression is not equivalent to the other three?
Explanation:
Choice A simplifies to 9n-8 after combining the like terms -7n+16n to get 9n
Choice C simplifies to 9n-8 for similar reasoning. The n+8n turns into 9n
This shows choices A and C are equivalent to choice D. Choice B isn't the same because 9(n-8) = 9n-9*8 = 9n-72. Use the distributive property.
Answer:
B. 9(n - 8)
Step-by-step explanation:
- 8 - 7n + 16n
-8 (-7n + 16n or 16n - 7n)
-8 + 9n
9n - 8
9(n - 8)
9n - 72
n - 8 + 8n
9n - 8
9n - 8
can someone do this for me please?! Just the answer pls
Answer:
1 is A. 4
2 is Center: (-3, -4) and radius: 7
3 is C
Let me know if you do change your mind and want work shown !
Solve the inequality -4x +1 > 13
Answer:
The inequality is x is less than negative 3.
Answer:
x < -3
Step-by-step explanation:
. subtract 1 from both sides.
. subtract the numbers
. divide both sides by the same factor and flip the relation
because the factor is negative
. cancel the terms that are both in the numerator and the denominator
. divide the numbers
.then you get youre solution
Find the value of x in the parallelogram below. Enter each line of work as an equation.
Answer: 110
Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary, so [tex]70+x=180 \longrightarrow x=110[/tex]
PARALLEL LINES
Find x and y.
Which graph represents the function f(x) = x| - 2'
Answer:
the function of y =×+1 is equal to (×,-4)
The graph that has the thinnest triangle is the correct one or C.
Step-by-step explanation:
Identify all points and line segments in the picture below
Answer:
should be the first one
Step-by-step explanation:
any point connected
Answer:
The answer is:
line segment D
Step-by-step explanation:
Points: A, B, C, D Line segments: Bar (AB), Bar (AC), Bar (BD)
-9<2x+1<5
A. -5
B. -4
C. 4>x>-3
D. 5>x>-2
Answer:
B
Step-by-step explanation:
1.
- 9 < 2x + 1
- 10 < 2x
X > - 5
2.
2x + 1 < 5
2x < 4
X < 2