Answer:
(a) four and eighty three hundredths with the three repeating
Step-by-step explanation:
The mixed number 4 5/6 will have a repeating decimal fraction, so finite-length decimals will not express it exactly.
Exact value4 5/6 = 4 +5/6 = (4×6)/6 +5/6 = (24+5)/6 = 29/6 . . . . . not 6/29
As you can see from the long division (attached), the decimal fraction will have repeating 3s.
\(4\dfrac{5}{6}=4.833... =\boxed{4\dfrac{83.\overline{3}}{100}}\)
The exact value of four and five sixths is represented as "six twenty ninths." So, the correct answer is 2.
The value "four and five sixths" is a mixed number. It consists of a whole number part (4) and a fractional part (5/6).
To represent this value exactly, you need to find a fractional form where the numerator (top part) is 5 and the denominator (bottom part) is 6, which is 5/6.
In fractional form, it's represented as 5/6. However, you can also express it as a decimal, which is approximately 0.8333 when rounded to four decimal places.
So, "four and five sixths" can be expressed as:
- Fraction: 5/6
- Decimal (approximate): 0.8333
The other options provided:
- "Four and eighty-three hundredths with the three repeating" does not accurately represent "four and five sixths."
- "4.8" represents "four and eight-tenths," which is different from "four and five sixths."
- "484%" represents 484 percent, which is not the same as "four and five sixths."
Therefore, "six twenty ninths" or 5/6 is the correct representation for "four and five sixths" in fractional form.
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What is the value of x in the triangle?
Answer:
45 degree=√2/2
√2/2=12√2
we use criss-cross method
√2x/√ 2=12√2/√ 2
×=24
Step-by-step explanation:
if it confused you this is (/)is dividing
hope I helped
please mark me as brainlyst
what is HL
please i need this by tomorrow
Answer:
Step-by-step explanation: HL is the height of the parallelogram (which is placed in the middle to know accurately )
hope it helps
sorry if i'm wrong
What is AAA congruence rule?
AAA ( Angle - Angle - Angle) congruence rule is one of congruence postulate but not preferable, for showing the similarity in two triangles
Two triangles are said to be congruent if one can be superimposed on the other exactly by rigid body motion, and the congruence theorem gives the conditions under which this occurs.
SAS (side-angle-side)SSS (side-side-side)ASA (angle-side-angle)AAA( angle-ange-angle)AAS (angle-angle-side)RHS( right angle-hypotenuse-side)AAA Congruence rule:
It is stands for angle-angle-angle Congruence rule. When all three angles of one triangle is equals to the corresponding angles of another triangle. but it is possible if and only if the corresponding sides of both triangles are equal and when all three sides of two triangles are equal to each other then we use SSS Congruence rule. So, it not considered as preferable congruence rule . For example, In ∆ABC and ∆PQR
all three angles of ∆ABC is equal to corresponding angles of ∆PQR. So,∆ABC and ∆PQR are congruent.
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How much money must stemmer invest if he wants to buy a bicycle in cash after 5 years? The bank offers him an interest rate of 8.8% compounded yearly. He needs R6600 at the end of the period to buy the bicycle.
Answer:
4,329
Step-by-step explanation:
The computation of the amount invested is shown below:
As we know that
Present value = Future value ÷ (1 + interest rate)^years
= 6600 ÷ (1 + 0.088)^5
= 6600 ÷ 1.088^5
= 4,329
A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows:
F(x) =
0 x < 0
0.06 0 ≤ x < 1
0.16 1 ≤ x < 2
0.33 2 ≤ x < 3
0.69 3 ≤ x < 4
0.92 4 ≤ x < 5
0.99 5 ≤ x < 6
1 6 ≤ x
Calculate the following probabilities directly from the cdf
(a) p(2), that is, P(X = 2) (b) P(X > 3) (c)P(2 ≤ X ≤ 5) (d)P(2 < X < 5)
(a) p(2), that is, P(X = 2)The cdf is given by: F(x) = 0 x < 00.06 0 ≤ x < 10.16 1 ≤ x < 20.33 2 ≤ x < 30.69 3 ≤ x < 40.92 4 ≤ x < 50.99 5 ≤ x < 61 6 ≤ x
The probability mass function p(x) can be derived from the cdf by taking differences:
p(x) = F(x) − F(x-1)Thus the probability mass function p(x) is as follows: p(x) = 0.06 x = 10.1 x = 20.17 x = 30.36 x = 40.23 x = 50.07 x = 60.01 x = 6The probability P(X = 2) can be found as follows: P(X = 2) = p(2) = 0.17(b) P(X > 3)The probability can be found as follows: P(X > 3) = P(4 ≤ X) = 1 - P(X < 4) = 1 - F(3) = 1 - 0.33 = 0.67(c) P(2 ≤ X ≤ 5)The probability can be found as follows: P(2 ≤ X ≤ 5) = F(5) - F(1) = 0.99 - 0.1 = 0.89(d) P(2 < X < 5)
The probability can be found as follows: P(2 < X < 5) = F(4) - F(2) = 0.92 - 0.17 = 0.75.
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find all values of x such that (6, x, −11) and (5, x, x) are orthogonal. (enter your answers as a comma-separated list.)x = ___
The values x such that (6, x, −11) and (5, x, x) are orthogonal is 6,5.
The orthogonal vectors have dot product to be zero. Thus, the formula to be used is -
a . b = a1b1 + a2b2 + a3b3, where a1, a2 and a3 are components a vector and b1, b2 and be are components of b vector.
Keep the values in formula -
a . b = 6(5) + x² + (-11)x
a . b = 30 + x² - 11x = 0
So, x² - 11x + 30 = 0
x(x - 6) - 5(x - 6) = 0
(x - 6) (x - 5) = 0
So, the value of x is 6,5.
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If you go twice as fast, will your stopping distance increase by: A. Two times. B. Three times. C. Four times. D. Five times
If you go twice as fast, your stopping distance will increase by four times (option C).
This relationship is based on the laws of physics and the principles of motion.
When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).
According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.
It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.
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Simplify. Leave answer in a+bi form:4√(-20)
Given the expression:
\(4\sqrt[]{-20}\)To simplify the expression you have to use complex numbers.
Let "i" be equal to the square root of -1:
\(i=\sqrt[]{-1}\)Then, you can rewrite the expression as follows:
\(\begin{gathered} 4\sqrt[]{20\cdot(-1)} \\ 4\sqrt[]{20}\cdot\sqrt[]{-1} \\ 4i\sqrt[]{20} \end{gathered}\)Now that you have the square root of a positive number you can simplify it:
First, factor 20, you can write it as the product between 4 and 5:
\(4i\cdot\sqrt[]{4\cdot5}\)Distribute the square root and simplify:
\(\begin{gathered} 4i\cdot\sqrt[]{4}\cdot\sqrt[]{5} \\ 4i\cdot2\cdot\sqrt[]{5} \\ (4\cdot2)i\sqrt[]{5} \\ 8i\sqrt[]{5} \end{gathered}\)The simplified expression is:
\(8i\sqrt[]{5}\)little learns that two more children will go on the trip how can she modify 3(a+c) and 3a+3c to include the cost of 2 more child passes
3a+3(c+2) represents the new cost for three adults and three more children.
What is an Algebraic equation?An algebraic equation is a mathematical statement that contains variables, constants, and operations that must be solved for a specific value.
For example, 2x + 5 = 11 is an algebraic equation where "x" is the variable and the goal is to solve for its value that makes the equation true.
To include the cost of 2 more child passes, Little can modify 3(a+c) to 3(a+c+2), which represents the cost of 3 children and 2 additional passes.
Little can add 2 to the value of c in both expressions:
3(a+c+2) represents the new cost for three adults and (c+2) children.
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Find the coefficient of the term containing y^8 in the expansion of [(x/2)-4y]^9
The coefficient of the term containing y^8 in the expansion of [(x/2)-4y]^9 is -126.
To find the coefficient of the term containing y^8, we can use the Binomial Theorem. According to the Binomial Theorem, the expansion of (a + b)^n can be written as:
(a + b)^n = C(n,0) * a^n * b^0 + C(n,1) * a^(n-1) * b^1 + C(n,2) * a^(n-2) * b^2 + ... + C(n,k) * a^(n-k) * b^k + ... + C(n,n) * a^0 * b^n
where C(n,k) is the binomial coefficient given by C(n,k) = n! / (k! * (n-k)!).
In our case, a = x/2 and b = -4y. Plugging these values into the formula, we have:
[(x/2)-4y]^9 = C(9,0) * (x/2)^9 * (-4y)^0 + C(9,1) * (x/2)^8 * (-4y)^1 + C(9,2) * (x/2)^7 * (-4y)^2 + ... + C(9,8) * (x/2)^(9-8) * (-4y)^8 + C(9,9) * (x/2)^0 * (-4y)^9
The term containing y^8 is C(9,8) * (x/2)^(9-8) * (-4y)^8 = C(9,8) * (x/2) * (-4y)^8.
The binomial coefficient C(9,8) is equal to 9, and the term (x/2) * (-4y)^8 simplifies to (-4)^8 * (x/2) * y^8 = 65536 * (x/2) * y^8.
Therefore, the coefficient of the term containing y^8 is 65536 * (x/2) = 32768x.
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The composite figure is made up of a parallelogram and a rectangle. Find the
area.
A. 334 sq. Units
B. 282 sq. Units
C. 208 sq. Units
D. 616 sq. Units
Answer:
308sq.units
Step-by-step explanation:
Area of parallelogram =base*height
14*(26-4)
=308sq.unit
Find the distance between the two points (-2,3) (2,4)
Answer:
Not sure of the answer but may be is 2/6
Answer:
\( \sqrt{17} \)
if 17% of a certian num mber of mangoes is egual to 1360 then find total number of mangoesf
Answer:
If you're trying to find the whole number from a percentage of the number, divide the number by its percent: 1360/17%= 8000. The total number of mangoes is 8000.
Step-by-step explanation:
Answer:
\(\boxed{\bold{\huge{\boxed{\sf x = 8000 \ mangoes}}}}\)
Step-by-step explanation:
Let the number be x
The given condition is:
=> 17 % of x = 1360
=> \(\sf \frac{17}{100} * x = 1360\)
Multiplying both sides by \(\frac{100}{17}\)
=> \(\sf x = \frac{136000}{17}\)
=> x = 8000
So, total number of mangoes is 8000.
need help finding x y and z
Answer:
x= 67
y=40
z=40
Step-by-step explanation:
A=C B=D
67=X Y&?= Z&73
73+ x aka(67) = 140
180-140= y = 40
Which two integers have a sum of 11 and a product of - 12 ?
A scuba diver is diving at a constant rate when her team on the surface requests a status update. She looks at her watch which says her elevation is 18 feet below sea level. 8 seconds later, her elevation is 20 feet below sea level. A. At what rate is her elevation changing? Use a signed number, and include the unit of measurement in your answer. B.How many more seconds until she reaches her goal depth of 50 feet? Explain or show your reasoning. C.How many seconds before her team requested an update was the diver at the surface of the water? Explain or show your reasoning.
Answer:
-0.25 ; 120 seconds 72 seconds
Step-by-step explanation:
Dive rate is constant :
Change in elevation after 8 seconds :
18 feets to 20 feets below
Rate of change = distance / time
(18 - 20) feets / 8 seconds
(-2 / 8) = - 0.25 feets per second
To reach 50.feets :
She needs to cover (50 - 20) = 30 feets
Time = distance / speed ; 30 feets / 0.25 = 120 seconds
C.) At the time update was requested, elevation = 18 feets below sea level
Surfave of water = 0 feets
Since rate is - 0.25 feets per second
Time = (0 - 18) / - 0.25
Time = - 18 / - 0.25
Time = 72 seconds
72 seconds update was requested, deliver was at the surface
In this exercise we have to use the knowledge of distance to calculate the time needed to reach this space, so:
A)-0.25
B)120 seconds
C) 72 seconds
A)So from the rate of change formula we can calculate with the already known values:
\(Rate\ of \ change = distance / time\\(18 - 20) feets / 8 seconds\\(-2 / 8) = - 0.25 feets\ per \ second\)
B) To reach 50.feets, we will use the time formula to calculate the total time used, so:
\((50 - 20) = 30 feets\\Time = distance / speed\\30 feets / 0.25 = 120 seconds\)
C)Now, using the time formula given earlier, we find that:
\(Time = (0 - 18) / - 0.25\\Time = - 18 / - 0.25\\Time = 72 seconds\)
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find a polynomial function with integer coefficients that has the given zeros
To find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property. Therefore, the function is f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6 .
In summary, to find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property to obtain the factors of the polynomial, and then multiply them together to get the polynomial function.
For example, suppose we want to find a polynomial function with integer coefficients that has zeros at -2, 1, and 3. We can start by using the factor theorem to obtain the factors of the polynomial:
(x + 2)(x - 1)(x - 3)
We can then multiply these factors together to obtain the polynomial function:
f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6
This is a polynomial function with integer coefficients that has zeros at -2, 1, and 3. Note that we can also check this by using the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero. We can plug in each of the zeros (-2, 1, and 3) into the polynomial function and verify that the result is zero, which confirms that these are indeed the zeros of the polynomial.
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in its standardized form, the normal distribution has a mean of 0 and a standard deviation of 1 has a mean of 1 and a standard deviation of 1 has an area equal to .5 cannot be used to approximate discrete probability distributions
Option-A is correct that is has a mean of 0 and standard deviation of 1 is the standardized form of the normal distribution.
Given that,
We have to find what is the standardized form of the normal distribution.
We know that,
What is normal distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
Therefore, Option-A is correct that is has a mean of 0 and standard deviation of 1 is the standardized form of the normal distribution.
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”The product of – 8 and x”
Answer:
-8x
Step-by-step explanation:
Multiply -8 and x so it is -8x
Solve *
-X? + 7x + 5 = 0
-7 - V69-7+ V69
-2.
-2
7+ V69
a.
7- V69
-2
C.
-2
|-7- 29
-7+29
b
d.
-7 - V50 -7+ 50
-2
-2
-2.
-2.
А
B.
С
O
D
Answer:
the correct answer is : b
need help no ilnks please
Answer:
D
Step-by-step explanation:
By looking at this scatter plot we can see that the points generally go down when looking at the graph from left to right.
This somewhat straight line that is created is going in a negative direction.
That means that it is not only a linear finction, but is also negative.
Pleasssssse help meeeeee
Answer: \(x \geq 3\)
The graph has a closed circle pointing to the right
What are the 4 forms of quadratic equations?
The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.
18 people take an aerobic class and 24 people take a karate class. If 32 people take only one of the two classes, how many people take both classes brainly
Answer:
5
Step-by-step explanation:
Identify the y intercept of the parabola below
Answer:
The y intercept for this one is two.
Answer:
A.)
Step-by-step explanation:
Hope this helps you out!
A influencer gains the same number of followers at a constant rate. Every 7 days, the influencer gains 630 followers. How many followers should the influencer gain after 25 days?
90 followers
630 followers
2500 followers
2250 followers
Solve: 9l5n - 8l - 3 < 15
Answer:
9l^5n-8l-3<15
Step-by-step explanation:
The number of permutations of 8 objects taken 3 at a time is.
The number of permutations of 8 objects taken 3 at a time is 336.
To calculate the number of permutations, we use the formula for permutations of n objects taken r at a time, which is given by P(n, r) = n! / (n - r)!. In this case, we have 8 objects and we want to take 3 objects at a time. Therefore, the number of permutations is P(8, 3) = 8! / (8 - 3)! = 8! / 5!.
Simplifying further, we have 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 and 5! = 5 x 4 x 3 x 2 x 1. Canceling out common factors, we get (8 x 7 x 6) / (3 x 2 x 1) = 336.
Therefore, the number of permutations of 8 objects taken 3 at a time is 336.
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Solve the following quadratic equations using factoring.
C. X^2-10=9x
we can easily solve this one by splitting theiddle term
x2 - 9x -10
x2 -10x + x - 10
x(x - 10) 1( x - 10)
(x + 1) (x-10)
x = -1 or 10
Please and thank you?
Let's learn the relationship
Area=Length×BreadthSo Area is directly proportional to length
The Garden B has largest area
But hang on this is incorrect it's rectangle other side might be too long .
Spare way(Accurate and correct)We can calculate also
For garden A
2(L+B)=1202(25+B)=120.25+B=60B=35Area
LB
35(25)875ft²For garden B
2(50+B)=12050+B=60B=10Area
50(10)500ft²Surprisingly assumption at first turned right
Garden A has highest area not Garden B
Answer:
Garden A
Step-by-step explanation:
Formula
Perimeter of a rectangle = 2(w + l)Area of a rectangle = w × l(where w is the width and l is the length)
Garden AGiven:
Perimeter = 120 ftOne side length = 25 ftUsing the formula for the perimeter to calculate the missing side length:
Perimeter = 2(w + l)
⇒ 120 = 2(25 + l)
⇒ 120 = 50 + 2l
⇒ 2l = 70
⇒ l = 35 ft
Therefore, the dimensions of Garden A are:
width = 25 ftlength = 35ftArea = w × l
⇒ Area of Garden A = 25 × 35
= 875 ft²
Garden BGiven:
Perimeter = 120 ftOne side length = 50 ftUsing the formula for the perimeter to calculate the missing side length:
Perimeter = 2(w + l)
⇒ 120 = 2(w + 50)
⇒ 120 = 2w + 100
⇒ 2w = 20
⇒ w = 10 ft
Therefore, the dimensions of Garden B are:
width = 10 ftlength = 50 ftArea = w × l
⇒ Area of Garden B = 10 × 50
= 500 ft²
ConclusionAs 875 > 500, Garden A has the largest area.