Answer:
4 mph
Explanation:
8 miles / 2 hours = 4 miles each hour
The Lucas sequence is like the Fibonacci sequence except that the starting numbers are 2 and 1 instead of 1 and 0. What are the first ten terms of the Lucas sequence?
The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.
What is Lucas sequence?The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.
Now, the sequence of first 10 numbers of Fibonacci series are-
0, 1, 1 ,2, 3, 5, 8, 13, 21, 34
which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.
And the sequence of Lucas sequence is -
2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.
which is definedas the sum of its two immediate previous terms.
The Lucas number may thus be defined as follows;
Ln = \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)
Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.
Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.
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PLEASE ANSWER ASAP I NEED IT.
Answer:
\(\huge\boxed{\sf 18^{-3}}\)
Step-by-step explanation:
Given expression:\(\displaystyle \frac{18^4}{18^7}\)
According to exponent rule:\(\displaystyle \frac{a^m}{a^n} = a^{m-n}\)So, the expression becomes:
= \(18 ^{4-7}\)
= \(18^{-3}\)
\(\rule[225]{225}{2}\)
Find the zeros of the function. Enter the solutions from least to greatest . h(x) = (- 4x - 3)(x - 3) lesser x = greater
9514 1404 393
Answer:
-3/4, 3
Step-by-step explanation:
The zeros are the values of x that make h(x)=0. Those are the values of x that make the factors of h(x) be zero.
-4x -3 = 0 ⇒ x = -3/4
x -3 = 0 ⇒ x = 3
The zeros of the function are -3/4 and 3.
A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratified sample of workers?
a. The consultant forms groups of workers based on the workers' shifts. Then, he selects workers at random from each group.
b. All of the workers on the second floor of the factory building are easily accessible. So, the consultant selects the first workers from the second floor to arrive at work on a particular day.
c. The consultant forms groups of workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses groups and selects all of the workers in these groups.
Answer:
A. the consultant forms groups of workers based on the workers' shifts. then, he selects workers at random from each group.
Step-by-step explanation:
Sana nakatulong
Answer:
A
Step-by-step explanation:
What is 1/10 of 9,000
Hello! :)
1/10 of 9000 is 900
9000 divided by 10 is 900
900 times 10 equals 9000
The answer would be 900.
Hope this helped you!
THEDIPER
given that
(the question is 21) pleaseee answer fast!! it’s due super sooooonnnnnnn
Answer:
B
Step-by-step explanation:
Bc if u search it u p
Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.
What is the probability that a randomly selected male is more than 74 inches tall?
Enter your answer in decimal form, e.g. 0.68, not 68 or 68%.
Answer:
\(70 \div 4 + 74 \times 0.68 yan po\)
Factor completely.
81p^8 - 100
=
Answer:
(9p^4+10)(9p^4−10)
trigonometry help; how would I even do these?
The possible answers are
0.6
0.8
0.750
Answer:
0?8
Step-by-step explanation:
Cos(A) = Adjacent/hypotenuse
Cos(A) = 36/45
=0.8
how do write 26% as a fraction, mixed number or whole number
solve p(x+q)^4=r for x
Given the following equation:
\(p\mleft(x+q\mright)^4=r\)You can solve for the variable "x" as following:
1. You need to apply the Division property of equality by dividing both sides of the equation by "p":
\(\begin{gathered} \frac{p\mleft(x+q\mright)^4}{p}=\frac{r}{p} \\ \\ \mleft(x+q\mright)^4=\frac{r}{p} \end{gathered}\)2. Remember that:
\(\sqrt[n]{a^n}=a\)Then:
\(\begin{gathered} \sqrt[4]{(x+q)^4}=\sqrt[4]{\frac{r}{p}} \\ \\ x+q=\sqrt[4]{\frac{r}{p}} \end{gathered}\)3. Now you have to apply the Subtraction property of equality by subtracting "q" from both sides of the equation:
\(\begin{gathered} x+q-(q)=\sqrt[4]{\frac{r}{p}}-(q) \\ \\ x=\sqrt[4]{\frac{r}{p}}-q \end{gathered}\)The answer is:
\(x=\sqrt[4]{\frac{r}{p}}-q\)In the figure shown, tIl x and k Il w.
If m23 = 20°, list all the angles that are 20° and all the angles that are 160°.
When bisecting segments and angles, which step is the same?
Round your answer to the nearest whole number.
Help immediately please.
Answer:
50 years, 70 feet
Step-by-step explanation:
The lines intersect at about 50 years on the x-axis and at 70ft on the y-axis.
BRAINLIEST TO CORRECT QUICK
Answer:
-17&14/16
-17
17&4/32
17.225
17&17/40
Solve x^2+8x+22=0 by completing the square.
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449
translate the figure 3 units right and 7 unit down.Record the coordinates of the image.
Answer: A prime is (-4,-5). B prime is (0,-1). C prime is (1,-5)
Step-by-step explanation:
You can either count three units to the right and from there 7 units down from each point to find its prime, or alternatively from each original x,y value of each point you can add 3 to the x value (because it wants you to move 3 units to the right and subtract 7 from the y value (because it wants you to move down 7 units).
The figure shows two identical semicircles enclosed within a rectangle. Find the perimeter of the shaded part.
Give your answer correct to 1 decimal places( Take π:3.14)
The perimeter of the shaded part in this rectangle, given the semicircles, is 155. 64 cm .
How to find the perimeter ?The perimeter of the shaded area can be found by the formula:
= Length of rectangle + Length of rectangle + perimeter of the full circle
Perimeter of the circle = circumference :
= π x diameter
= 3. 14 x 26
= 81. 64 cm
The perimeter of the shape is:
= 37 + 37 + 81. 64
= 155. 64 cm
In conclusion, the perimeter of the figure with two identical semicircles enclosed within a rectangle is 155. 64 cm.
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PLEASE ANSWER THIS ASAP! SUPER EASY! PLEASE PLEASE WILL MARK YOU BRANLIEST!
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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I need help this assignments due at 9 eastern time plzzzz
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
Select the correct answer.
E
B
2
7
B
C
0
b D
Polygon ABCDE is reflected to produce polygon ABCDE. What is the equation for the line of reflection?
ОА У-0
OB. X=0
OC x=2
OD. y=1
Answer:
B. x = 0
Step-by-step explanation:
we notice that a point and it’s image have the same y-coordinate and opposite x-coordinates
Example :
A(-2 , 2) is a point and A(2 , 2) it’s image by the reflection
\(y_{A}=2=y_{A^{\prime }}\)
\(x_{A}=-2=-x_{A^{\prime }}\)
Then the reflection is across the y-axis
Or The equation of the y-axis is x = 0
The sum of two consecutive integers
is at least 36.
What is the least possible pair of integers?
Answer:
18 and 19
Step-by-step explanation:
n+(n+1)=36
2 x n+1=36
n>35/2
Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?
The matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.
The matrix representing the profit from the sales of book A for each store is as follows:
Store Book A
X $4
Y $4
Z $4
Therefore, the matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).
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2.64 gallons = how many liters
Answer:
9.9924 liters
Step-by-step explanation:
there are 3.785 liters in one gallon
multiply 3.785 liters times 2.64
that comes out to 9.9924 liters
Calculate the value for the for the following scores 20, 60, 30, 50 given:
begin inline style begin display style sum for blank of end style end style x squared =
The sum of the scores is equal to 160.
What is a mean?In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the mean for a data set?Mathematically, the mean for this set of scores can be calculated by using the following formula:
Mean = [F(x)]/n
For the total number of scores (data set), we have;
∑x = 20 + 60 + 30 + 50
∑x = 160.
Mean = [F(x)]/n = 160/4 = 40.
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Help, please
f(n)=3(n+2)^2 (n-3) (n-2)
As n -----> -oo, f(n)----> ?
As n ----->oo, f(n) ----->?
The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.
The function for this problem is given as follows:
f(n) = 3(n + 2)²(n - 3)(n - 2).
Considering the degree, the function can be interpreted as follows:
\(3n^4\)
(for the limit when the input goes to infinity we consider only the term with the highest degree).
The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.More can be learned about the end behavior of a function at brainly.com/question/1365136
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The answer please! I mean Ik it’s simple but I’m just not clever
Answer:
596.9 cm^2
Step-by-step explanation:
The surface area of a cylinder is \(SA=2\pi rh+2\pi r^2\) where \(r\) is the radius of the base of the cylinder and \(h\) is the height of the cylinder.
So, the surface area of the cylinder is:
\(SA=2\pi rh+2\pi r^2\)
\(SA=2\pi (5)(14)+2\pi (5)^2\)
\(SA=2\pi(70)+2\pi(25)\)
\(SA=2\pi(70+25)\)
\(SA=2\pi(95)\)
\(SA=190\pi\)
\(SA\approx596.9\)
which equation is the inverse of 2(x - 2)\(^{2}\) = 8(7 + y)
The inverse equation to the one given in this exercise is:
\(y = 2(\sqrt{7 + x} + 1)\)
How to find the inverse of an equation or a function?To find the inverse, we have to exchange x and y and then isolate y.
In this problem, the equation is:
2(x - 2)² = 8(7 + y).
Exchanging x and y:
2(y - 2)² = 8(7 + x)
Now we work to isolate y:
(y - 2)² = 4(7 + x).
To isolate y, we apply the square root to both sides, hence:
\(\sqrt{(y - 2)^2} = \sqrt{4(7 + x)}\)
\(y - 2 = 2\sqrt{7 + x}\)
\(y = 2\sqrt{7 + x} + 2\)
\(y = 2(\sqrt{7 + x} + 1)\)
Hence the inverse equation to the one given is:
\(y = 2(\sqrt{7 + x} + 1)\)
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