Answer:
8² = 64
Step-by-step explanation:
8 x 8 = 64
8² = 64
...........
x^2 = 64
or, x = √64
or, x = √(2×2×2×2×2×2)
or, x = √8×8
or, x = 8
The answer is 8.
I need some help with this one please
The percentage of students who do not walk to class and do not have a lunchbox is 28.25 %.
Percentage calculationFrom the illustration:
Total number of students = 400
Number of students that do not walk and do not have a lunchbox = 113
Percentage component = number of component/total number x 100
Thus:
Percentage of students who do not walk to class and do not have a lunchbox:
= 113/400 x 100%
= 28.25 %
To the nearest hundredth = 28.25%
In other words, the percentage of students who do not walk to class and do not have a lunchbox is 28.25%.
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Let S be the universal set, where:
S= {1, 2, 3,..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Answer:
Step-by-step explanation:
Therefore, the height of the tower is approximately 121.4 meters.
3.52
X ——-
2.5
What is the current answer
The value of 3.52 × 2.5 is 8.8
What is multiplication?Multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations.
For example if there are 10 groups and 5 mangoes are put in each group, the total number of mangoes in the region is calculated as;
10groups × 5 mangoes each
= 50mangoes
Similarly , solving 3.52 × 2.5
changing both of the term to whole number we multiply both term by 100.
Therefore , it will be 352 × 250. It will be easier to solve this way.
Therefore 352 × 250 = 88000
we can divide the answer by 10000 again
= 88000/10000 = 8.8
therefore 3.52 × 2.5 = 8.8
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8000 people attended a football
match in a
stadium the prices
of
tickets were $50.00 for vip and
$30.00 for popular stand. If the
total events revenue from sale of
the tickets was $250,000. Find
each
th number of tickets sold
for each
stand
Answer:
Step-by-step explanation:
Okay, so this is impossible to tell the amount of spaces, but let's say it was 4000 for VIP and 4000 for Popular Stands. Multiply $30 by 4000, and you get $120k Earnings. To check your answer, Divide 120,000 by 4000, and you get $30 for each stand.
Now, let's move on with the VIP stands. A VIP Stand costs $50, so 4,000 x $50 = $200k earnings. To check your answer, divide 200,000 by 4000, and you get $50 for each VIP Stand.
If you need to find each variant, go by 1k seat increments, i.e. 1000 and 7000, 2000 and 6000, etc.
Glad I could help!
-Vibilities
An account earning interest at a rate of 4% compounded monthly has a principal of $ 500,000 . If no more deposits or withdrawals are made , how much money will be in the account after five years?
Answer:
$610,498.30
Step-by-step explanation:
P = C (1 + r/n)^nt
4% = 0.04
P = 500 000(1+0.04/12)^(12*5)
P = 500 000 (1.003333)^60
P = 500 000 (1.220997)
P = $610 498.296971
HELP PLEASEEE!!!! IM BEING TIMED!!!!!!!
Answer:
y=1x-7
Step-by-step explanation:
The equation of a parabola is (x−3)2=16(y+7) . What are the coordinates of the vertex and focus of the parabola? What is the equation of the directrix?
The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.
The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.
Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).
The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).
To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.
In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.
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what is 11/2 times 1/3 as a fraction
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6
Determine a5 ;binomial)- It ureesheothe given procedure results in a binomial distribution (Or a distributon that can be treated the procedure is not binomial, identify at least one requcement shatus Oot Gatisfied' The the likelihood YSORT method of gender selection; developed by the Genetics & IVF Institute, designed to increase was of the babies that a baby will be a boy: When 30 couples use the YSORT metnod genders are recorded. and give birth to 30 babies, the Does the procedure represent a binomial distribution? No, because the trials of the procedure are not independent No, because there are more than two categores for each trial. No, because the probability of success differs from trial to trial Yes because the procedure satisfies all the criteria for a binomial distribution.
The correct option is D because the procedures satisfies all the criteria for a binomial distribution.
The probability distribution known as the binomial distribution, which is used in statistics, quantifies the chances that a value will take one of two independent values given a particular set of conditions or hypotheses.
The correct option is D because the procedures satisfies all the criteria for a binomial distribution. There are only outcomes in the number of babies born, since a baby can either be a boy or a girl.
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The right question is:
Determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). If the procedure is not binomial, identify at least one requirement that is not satisfied.
The YSORT method of sex selection, developed by the Genetics \& IVF Institute, was designed to increase the likelihood that a baby will be a boy. When 30 couples use the YSORT method and give birth to 30 babies, the sex of the babies is recorded. Does the procedure represent a binomial distribution?
A. No, because there are more than two categories for each trial.
B. No, because the trials of the procedure are not independent.
C. No, because the probability of success differs from trial to trial.
D. Yes, because the procedure satisfies all the criteria for a binomial distribution.
(40 POINTS) A newly hired lawyer receives a $15,000 signing bonus from a law firm and invests the money in a savings account at 4.75% interest. After 42 months, the lawyer checks the account balance.
Part A: Calculate the interest earned, to the nearest dollar, if the interest is compounded quarterly. Show all work. (2 points)
Part B: Calculate the interest earned, to the nearest dollar, if the interest is compounded continuously. Show all work. (2 points)
Part C: Using the values from Part A and Part B, compare the interest earned for each account by finding the difference in the amount of interest earned. (1 point)
Answer:
after 42 months he has $2,696 in interest
compound quarterly is equivalent to annual rate of 4.835%
Part b
after 42 months he has $2,713 compound continuously
the diffrence is $17
15000 + 4.75% · 42 compound quarterly is $2,696
15000 + 4.75% · 42 compound continuously is $2,696
Answer:
Step-by-step explanation:
Stop posting FLVS questions on this website. It is illegal, and you can be expelled from the program. :)
Estimate the sum of the weights of Frailyn 10.2 pounds +611/12 pounds. Which statements are true about the estimate CHECK ALL THAT APPLY
The ration of boys to girls in the classroom is 5 to 7 if there are 35 girls then how many boy are there construct a tape diagram to demonstrate
Answer:
5+7=12-35=-23
Step-by-step explanation:
there are 60 minutes in one hour and 60 seconds in one minute. Using this information, explain how you could convert 20 miles per hour to feet per second
The conversion is given as 1, 760 feet per second
How to convert the valueWe need to convert 20miles per hour to feet per second
First, we should convert miles to feet
1 mile = 5280 feet
Then,
20 miles = x
Cross multiply
20 × 5280 = x
x = 105, 600
Per hour = I hour = 60 seconds
To find the conversion, we divided the conversion to feet by that of the time
= 105, 600/60
= 1, 760 feet per second
Thus, the conversion is given as 1, 760 feet per second
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The sum of two numbers is 49 and the difference between these two numbers is 9.
What are these two numbers?
Answer:
the answer is 39 and 14.
The solution is, the numbers are 20 and 29.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Here, we have,
given that,
The sum of two numbers is 49
and the difference between these two numbers is 9.
let, the numbers are x & y
so, we get,
according to question:
x+y = 49 ...1
x-y = 9 ....2
so, simplifying we get,
2x = 58
or, x = 29
so, we get,
y = 20
Hence, The solution is, the numbers are 20 and 29.
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PLEASE ANSWER ASASP!!!!!!!!!!!!!!!!
Autoimmune disease Immune system attacks the healthy cells instead of pathogens *
A. Grave’s disease
B. HIV/AIDS
C. Lupus Erythematosus
D.Diabetes Mellitus
Answer:
HIV/Aids
Step-by-step explanation:
HIV/Aids is a disease that destroys the good and important white blood cells resulting in weakening our immune system. People with this disease become ill, causing people to not be able to fight it off. In the end it causes death from all the infections. Hope this helped!
please refer to the image
Need help ASAP!!!
WIll make you brainlist
Answer:
Answer: C
Step-by-step explanation:
suppose a random sample of 40 houses are selected from the city. estimate the probability that the mean value of the 40 houses is less than $500,000 . show your work
a. Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.
To estimate the probability that a randomly selected house has a value less than $500,000:
P( x < 500,000)=P(x=0)+P(x=500)
=0.34+0.37+
=0.71
Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. -since 40 is larger than or equal to 30, we assume a normal distribution.
-The probability can therefore be calculated as:
P(x')=P( z < (x' -u)/σ.sqrt(n)))
P(z< (500-403)/(578sqrt(40)))
=P(z<2.2068)
=0.986336
Hence, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
The complete question is -
a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work.
(b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work.
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What kind of transformation converts the graph of f(x) = -x - 10 into the graph of g(x)
-9x - 10?
horizontal stretch
vertical stretch
vertical shrink
horizontal shrink
=
Answer:
zeroay horizontal stretch vertical shrink
Step-by-step explanation:
1+1=2
Find the average rate of change
Answer:
(a) The average rate of change from 0 to 2 is 6
(b) The average rate of change from 3 to 5 is 24
(c) The average rate of change from -3 to 0 is -9
Step-by-step explanation:
The formula for the average rate of change (AROC) is given by:
\(AROC=\frac{f(b)-f(a)}{b-a}\)
(a):
Finding the AROC from 0 to 2
To find the average rate of change from 0 to 2, we use f(2) and f(0), while we plug in 2 for b and 0 for a:
\(\frac{f(2)-f(0)}{(2-0)}\\ \\\frac{((3(2)^2+4)-(3(0)^2+4))}{(2-0)} \\\\\frac{(16-4)}{(2)}\\ \\\frac{12}{2}\\ \\6\)
Thus, the average rate of change from 0 to 2 is 6.
(b):
Finding the AROC from 3 to 5:
To find the average rate of change from 3 to 5, we use f(5) and f(3), while we plug in 5 for b and 3 for a:
\(\frac{f(5)-f(3)}{(5-3)}\\ \\\frac{((3(5)^2+4)-(3(3)^2+4))}{(2-0)} \\\\\frac{(79-31)}{(2)}\\ \\\frac{48}{2}\\ \\24\)
Thus, the average rate of change from 5 to 3 is 24.
(c):
To find the average rate of change from -3 to 0, we use f(0) and f(-3), while we plug in 0 for b and -3 for a:
\(\frac{f(0)-f(-3)}{(0-(-3))}\\ \\\frac{((3(0)^2+4)-(3(-3)^2+4))}{(0+3)} \\\\\frac{(4-31)}{(3)}\\ \\\frac{-27}{3}\\ \\-9\)
Thus, the average rate of change from -3 to 0 is -9.
for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:
Example 1:
Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
1.
Use the formula d = rt. Find t for r = 39.5 m/h and d = 402.9 m.
15,915 h
0.1 h
10.2 h
363.4 h
Mei runs 93.24 miles in 3 weeks. If she runs 6 days each week, what is the average distance she runs each day?
Answer:
5.18 miles each day
Step-by-step explanation:
3 weeks × 6 days = 18 days
93.24 miles in 18 days gives an average of 93.24 ÷ 18 = 5.18 miles per day
Which of the following is equivalent to tan (5x/6)?
The equivalent expression for tan(5π/6) can be expressed as cot(5π/6) .
How can the equivalent expression be determined?The tan of a function can be described as he function from the trigonometry which can be gotten from theratio of sine of the angle to the ratio of cosine of the angle.
The expression can be written as ;
tanθ = sinθ/cosθ
Then the Cot of a function can be described as the function that is been reagrded as cotangent, which is reciprocal of a tangent.
Cotθ = 1/tanθ = cosθ/sinθ
=cot(5π/6)
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COMPLETE AND CORRECT QUESTION HAS BEEN ADDED
helppppppppp:)))))))))))
Answer:
bottom one
Step-by-step explanation:
9a-b-2a-10b add like terms
7a-11b
Which could be first step in solving the equation represented by the model
Answer:
Add 4 positive unit tiles to each side
Step-by-step explanation:
The tiles represent an algebraic equation. The first step in solving an equation like this is moving all constants to one side. The constants are the numbers with variables or x's. By adding 4 units to both sides all constants are on the right side. All the other choices would leave some constants on both sides.
A bag contains 6 red balls and 9 black balls. Two balls are drawn, one after the other with replacement. Find the probability that
a. Both are of the same colours
b. Both are of different colours
Answer:
a) 13/25
b) 12/15
Step-by-step explanation:
a) Since it is with replacement, the chance of them being both the same colour will be
P(both red) + P(both black) = (6/15*6/15) + (9/15*9/15)
= 13/25
b) If they are both different colours, then we will be working out
P(both colours) = (6/15*9/15)*2 = 12/25 (Its *2 because the other way of pulling both colours is 9/15*6/15 which is the same but flipped)
Another way of working this question out is
P(1-All red or all blue) which from above we know that All red or all blue is 13/25 so
P(1-All red or all blue) = 1 - 13/25 = 12/25
Find dy/dx by implicit differention.1) x^4 + x^2y^2 + y^3 = 5(2) Sin (x+y) = cosx + casy
The given equation is:
\(x^4+x^2y^2+y^3=5\)The differential is given as:
\(4x^3+2xy^2+2yx^2\frac{dy}{dx}+3y^2\frac{dy}{dx}=0\)Make dy/dx the subject of the formula:
\(\begin{gathered} 2yx^2\frac{dy}{dx}+3y^2\frac{dy}{dx}=-(4x^3+2xy^2) \\ \\ \frac{dy}{dx}(2x^2y+3y^2)=-(4x^3+2xy^2) \\ \\ \frac{dy}{dx}=\frac{-(4x^3+2xy^2)}{2x^2y+3y^2} \end{gathered}\)If you were to solve the following system by substitution what would be the best variable to solve for and from what equation 2x+6y=9 and 3x-12y=15
Answer:
2x + 6y = 9 , 3x -12y = 15
3x - 12y = 15 3x = 12y + 15 x = 4y + 5
+12y +12y /3 /3
2x + 6y = 9 , x = 4y + 5
2(4y + 5) + 6y = 9 2x + 6(-1 / 14) = 9
8y + 10 + 6y = 9 2x - (3/7) = 9
14y + 10 = 9 2x = 66 / 7
14y = -1 x = 33 / 7
/14 /14
y = -1 / 14