Answers
Answer:
C
Step-by-step explanation:
using
x × y = \(\sqrt{x^2+y^2}\) , then
2 × 4\(\sqrt{2}\)
= \(\sqrt{2^2+(4\sqrt{2})^2 }\)
= \(\sqrt{4+32}\)
= \(\sqrt{36}\)
= 6
\(\textsf {Applying this formula :}\)
\(\mathsf {(x) \times (y) =\sqrt{x^{2} + y^{2}}}\)
\(\textsf {Now take :}\)
\(\mathsf {x = 2}\\\mathsf {y = 4\sqrt{2}}\)
\(\mathsf {Solving :}\)
\(\implies \mathsf {\sqrt{(2)^{2} + (4\sqrt{2})^{2}}}\)
\(\implies \mathsf {\sqrt{4 + 32}}\)
\(\implies \mathsf {6}\)
Related Questions
PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS ALSO SOLVE INEQUALITIES WITH INTEGERS.#2-#6 THANK YOU(:
Answers
The following are the solution to the given inequalities;
-13 < 4x + 7 ; -5 < x
-2x + 7 < 19 ; x > -6
-45 < 5(p - 2) ; -7 < p
21 < -7(x - 2) ; -1 > x
-9x + 10 > -8 ; x < 2
2 - 6 < 3 ; -4 < 3
How to solve inequalities?-13 < 4x + 7
combine like terms
-13 - 7 < 4x
-20 < 4x
divide both sides by 4
-5 < x
-2x + 7 < 19
combine like terms
-2x < 19 - 7
-2x < 12
x < 12/-2
x > -6
When dividing inequality with negative, the inequality sign will flip.
-45 < 5(p - 2)
open parenthesis
-45 < 5p - 10
-45 + 10 < 5p
-35 < 5p
-7 < p
21 < -7(x - 2)
21 < -7x + 14
21 - 14 < -7x
7 < -7x
divide both sides by -7.
-1 > x
-9x + 10 > -8
-9x > -8 - 10
-9x > -18
x > -18/-9
x < 2
2 - 6 < 3
-4 < 3
Read more on inequalities:
https://brainly.com/question/25275758
#SPJ1
Find the range and standard deviation of the set of data.4, 7, 4, 7, 7, 9, 11The range is(Simplify your answer.)
Answers
SOLUTI0N
Step 1 :
In this question, we are meant to find the range and standard deviation of the set of the data:
4, 7, 4, 7, 7, 9, 11
For the Range, we have that:
\(\begin{gathered} \text{Range = Highest number - Smallest number } \\ =\text{ 11 - 4} \\ =7 \end{gathered}\)Step 2 :
For the Standard Deviation,
We have that :
\(\text{Standard Deviation =}\frac{\sqrt[]{\sum ^{\infty}_{n\mathop=0}(X_{i\text{ }}-X)^2}}{n}\)So, we need to evaluate using the following process,
\(\begin{gathered} \text{Mean, X = }\frac{4\text{ + 7 + 4 + 7 +7 + 9 + 11}}{7} \\ =\frac{49}{7} \\ =\text{ 7} \end{gathered}\)Next, we evaluate the following :
Variance =
\(\frac{(4-7)^2+(7-4)^2+(4-7)^2+(7-7)^2+(7-7)^2+(9-7)^2+(11-7)^2}{7}\)=
\(\begin{gathered} \frac{9\text{ + 9 + 9 + 0 + 0 + 4 + 4}}{7} \\ =\text{ }\frac{35}{7} \\ =\text{ 5} \end{gathered}\)Next, we have that :
Standard Deviation =
\(\sqrt[\square]{Variance}\)=
\(\begin{gathered} \sqrt[\square]{5} \\ =\text{ 2. 236} \\ =\text{ 2. 2}4\text{ ( nearest hundredth )} \end{gathered}\)CONCLUSION:
The Range = 7 and the Standard Deviation = 2. 24
Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.59.
A. c(p) = p + 0.59
B. c(p) = 59p
C. c(p) = p/0.59
D. c(p) = 0.59p
Answers
Answer:
D. c(p) = 0.59p
Step-by-step explanation:
The total cost, c(p), to purchase sugar is equal to the product of the pound cost equal to $0.59 and the number of pounds of sugar, p. Thus, the answer to this item is C(p)=0.59p
The total cost, c(p), to purchase sugar is equal to the product of the pound cost equal to $0.59 and the number of pounds of sugar, p. Thus, the answer to this item is,
c(p) = ($0.59)p
We multiply the number of pounds of sugar, p, time the cost per pound ,.59, to get the total cost
c(p) = .59*p
y f(n) = sin nπ/2 then G(n) = 2/π² (Sin nπ/2 - Sin² nπ/2)
Answers
The function G(n) in terms of f(n) is G(n) = 2/π² (f(n) - f²(n)).
To find the function G(n) in terms of f(n) based on the given expression, we substitute f(n) into the formula for G(n):
G(n) = 2/π² (Sin nπ/2 - Sin² nπ/2)
Replacing Sin nπ/2 with f(n), we have:
G(n) = 2/π² (f(n) - Sin² nπ/2)
Since f(n) is defined as f(n) = Sin nπ/2, we can simplify further:
G(n) = 2/π² (Sin nπ/2 - Sin² nπ/2)
Now we can substitute f(n) = Sin nπ/2 into the equation:
G(n) = 2/π² (f(n) - f²(n))
Therefore, the function G(n) in terms of f(n) is G(n) = 2/π² (f(n) - f²(n)).
Learn more about function here:
https://brainly.com/question/11624077
#SPJ11
determine the solutions of the equation: absolute value of the quantity one fifth times x plus 2 end quantity minus 6 equals two.
Answers
Answer: The solutions of the absolute value equation are given by:
x = -41 and x = 49.
What is the absolute value function?
The absolute value function is defined by:
|x| = x, x >= 0.
|x| = -x, x < 0.
The absolute value function measures the distance of a point x to the origin, that is, the distance to x = 0. From this, we get that |x| = a can mean either that:
x = a, or;
x = -a.
In this problem, the equation is given by:
Hence:
0.2|x - 4| = 9
|x - 4| = 45
The first possible solution is:
x - 4 = 45
x = 49.
The second possible solution is:
-x + 4 = 45
-x = 41
x = -41.
Hence the solutions are x = -41 and x = 49.
More can be learned about the absolute value function at brainly.com/question/24734454
Step-by-step explanation:
the answer please the answer will give brainliest
Answers
Answer:
3d
Step-by-step explanation:
Answer:
3d
Step-by-step explanation:
........................
n open rectangular box is formed by cutting congruent squares from the corners of a piece of cardboard and folding the sides up. if the original piece of cardboard was 24 inches by 45 inches, what are the dimensions of the box with maximum volume?
Answers
1080 inches² are the dimensions of the box with maximum volume .
What is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.rectangular box length = 24 inches
width = 45 inches
maximum volume = 24 * 45
= 1080 inches²
Learn more about rectangle
brainly.com/question/15019502
#SPJ4
Suppose that the length X of the life (in years) of a battery for a computer has a distribution that can be described by the pdf: f(x) = x/121 e^-x^2/242 Determine the probability that the battery fails before the one year warranty expires on the computer. a) 0.1082 b) 0.2041 c) 0.9959 d) 0.0082 e) 0.0041 f) None of the above
Answers
The probability that the battery fails before the one-year warranty expires on the computer is 0.0041. So, option e) is correct.
Let X be the length of the life (in years) of a battery for a computer that has a distribution that can be described by the pdf:
\(f(x)=\frac{x}{121} e^\frac{-x^2}{242}\).
We need to find the probability that the battery fails before the one-year warranty expires on the computer, that is P[X<1].
\(P[X<1]=\int\limits^1_0 {f(x)} \, dx\).
Substitute the value of f(x) in the integral above.
\(P[X<1]=\int\limits^1_0 {\frac{x}{121} e^\frac{-x^2}{242}} \, dx\).
Let \(\frac{-x^2}{242}=t\).
Differentiate both sides to get xdx/121=dt.
Thus, we have that:
\(P[X < 1]=\int\limits^1_0 {\frac{x}{121} e^\frac{-x^2}{242}} \, dx\\P[X < 1]=\int\limits^\frac{1}{242} _0 {e^{-t} } \, dt\\ P[X < 1]=-[e^{\frac{-1}{242}}-1]\\P[X < 1]=1-e^{\frac{-1}{242}}\\ P[X < 1]=0.0041\)
Thus, option e) is correct.
Learn more about probability:
https://brainly.com/question/13604758
#SPJ11
7/16 times 2 PLEASE ANSWER SIMPLIFY AND ANSWER HAS TO BE A SIMPLIFIED FRACTION PLS PLS PLS MAKE IT A MIXED NUMBER
Answers
Answer:
\(\frac{14}{16}\) simplified to \(\frac{7}{8\\}\)
Step-by-step explanation:
\(\frac{7}{16} times \frac{2}{1} you get \frac{14}{16} \\this \\simplifies \\to \frac{7}{8}\)
which expressions represents 15 more than the product 6 and 8
Please i need help
Answers
Answer:
x-15 = 48
or
x= 15 + (6*8)
Step-by-step explanation:
Pls vote as brainliest
Hi,
The correct answer is x=15 + (6x8)
A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
PLEASE DO STEP BY STEP BECAUSE IT NEEDS ME TO SHOW MY WORK!
BEST ANSWER GETS BRAINLIEST! :) TYSM I NEED ANSWER ASAP
Answers
Answer:
200<=15x
divide by 15
You have to work at least 13 1/3 hours to earn $200
<= means greater than or equal to
Step-by-step explanation:
The minimum number of hours to earn at least $200 is 14
How to determine the minimum number of hours?Let the number of hours be x.
Given that hourly rate is $15, and he needs to earn at least $200;
The inequality of the scenario is:
15x >= 200
Divide both sides by 200
x >= 13.33
The smallest integer greater than 13.33 is 14.
So, we have:
x = 14
Hence, the minimum number of hours is 14
Read more about inequality at:
https://brainly.com/question/11234618
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answers
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
Which system of linear equations best represents the tables shown below?
Answers
From the first table, we can use the points (-1,3) and (5,-3) to find the first equation:
\(\begin{gathered} \text{slope:} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow m=\frac{-3-3}{5-(-1)}=\frac{-6}{5+1}=\frac{-6}{6}=-1 \\ m=-1 \end{gathered}\)then we can use the point to find the equation in slope-point form:
\(\begin{gathered} y-y_1=m(x-x_1) \\ \Rightarrow y-3=-1(x-(-1))=-x-1 \\ \Rightarrow y=-x-1+3=-x+2 \\ y=-x+2 \end{gathered}\)we can do the same with the next table, using the points (1,-1) and (7,11):
\(\begin{gathered} \text{slope:} \\ m=\frac{11-(-1)}{7-1}=\frac{11+1}{6}=\frac{12}{6}=2 \\ m=2 \\ \text{Equation:} \\ y-(-1)=2(x-1)=2x-2 \\ \Rightarrow y+1=2x-2 \\ \Rightarrow y=2x-2-1=2x-3 \\ y=2x-3 \end{gathered}\)therefore, the system of equations is:
\(\begin{cases}y=-x+2 \\ y=2x-3\end{cases}\)trị tuyệt đối(x+1) = 3*x
Answers
u need first to understand the thing
There are 3 times as many females as males on the maths course at university. What fraction of the course are male?
Give your answer in its simplest form.
Answers
Answer:
1/3
Step-by-step explanation:
Because I’m right
Which statement describes the graph of f/x )=- 4x 3 28x 2 32x 64?
Answers
The statement that describes the end behavior of the graph f(x) = -4x³ + 28x² + 32x + 64.
The graph increases to left and decreases to right.
How to obtain the end behavior of the polynomial?The end behavior of a polynomial function is given by the limits of the function as x approaches infinity, meaning that only the term with the highest exponent is considered for the calculation of the limit.
In this problem, the function is defined as follows:
f(x) = -4x³ + 28x² + 32x + 64.
Considering only the highest exponent, we have that:
f(x) = -4x³.
Hence the behavior of the graph of the function at the left tail is given as follows:
lim x -> -∞ f(x) = -4(-∞)³ = -4 x (-∞) = ∞.
(increases to the left).
At the right tail, the behavior is given as follows:
lim x -> ∞ f(x) = -4 x (∞)³ = -4 x (∞) = -∞.
(decreases to right).
Missing InformationThe problem is incomplete, hence we suppose that it asks for us to describe the end behavior of the graph.
Learn more about the end behavior of a function at brainly.com/question/1365136
#SPJ1
Answer:b
Step-by-step explanation:
A project has an initial cost of $30 million.The project is expected to generate a cash flow of $2.85 million at the end of the first year.All the subsequent cash flows will grow at a constant growth rate of 3.85% forever in future.If the appropriate discount rate of the project is 11%,what is the profitability index of the project? a.1.917 b.1.328 c.1.387 d.1.114 ortcehov e. None of the above
Answers
Profitability index is 1.387. Thus, the correct option is (c) 1.387.
The formula for calculating the profitability index is:
P.I = PV of Future Cash Flows / Initial Investment
Where,
P.I is the profitability index
PV is the present value of future cash flows
The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.
The present value of cash flows can be calculated using the formula:
PV = CF / (1 + r)ⁿ
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
n is the number of periods
For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.
Substituting the values, we get:
PV = 2.85 / (1 + 0.11)¹ = $2.56 million
To calculate the present value of all future cash flows, we can use the formula:
PV = CF / (r - g)
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
g is the constant growth rate
For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.
Substituting the values, we get:
PV = 2.85 / (0.11 - 0.0385) = $39.90 million
The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.
PV of future cash flows = $39.90 million + $2.56 million = $42.46 million
Profitability index (P.I) = PV of future cash flows / Initial investment
= 42.46 / 30
= 1.387
Therefore, the correct option is (c) 1.387.
Learn more about Profitability index
https://brainly.com/question/30641835
#SPJ11
please please help
the system by substitution.
y=4x
y=8x-36
Answers
Answer:
x=9
Step-by-step explanation:
Substitute y for 4x
4x=8x-36
Then solve for x
-4x=-36
x=9
Explanation: begin by substituting or replacing “y” with 4x since y=4x. This should give you the new equation of 4x=8x-36. Then subtract 8x from both sides so that it will cancel out 8x and leave you with 4x-8x=-36. Then combined like terms to then give you -4x=-36. Lastly, divide each side by -4 which will give you the answer of x=9 because when you divide -4 by -36, two negatives cancel each other out and leave you with a positive outcome.
1. A small garden has a perimeter of 24 1/4 ft. If the lengths is 8 ft, what is the area of the garden.
2. Lynn is putting tiles on her bathroom floor. Each tile measures 1 square foot each. The floor measures 4 1/2 ft by 3 3/4 ft. How many tiles will she need to cover the floor?
3. A dog pen is 3 1/3 yards wide by 5 2/3 yards long. What is the area of the dog pen?
Answers
The area of the garden is 33 ft².
The number of tiles required to cover the floor is 17 tiles.
The area of a dog pen is 170/9 square yards.
We need to find the area and perimeter for the given questions.
What are the formulas to find the perimeter and the area of a rectangle?The formula to find the perimeter of a rectangle=2(Length+Breadth)
The formula to find the area of a rectangle=Length×Breadth.
Given that, a small garden has a perimeter of 24 1/4 ft and the length is 8 ft.
Now, perimeter = 2(8+Breadth)
⇒24 1/4=16+2×Breadth
⇒97/4-16=2×Breadth
⇒Breadth=97-64/4×2=33/8 ft
Now, Area=8×33/8=33 ft²
Therefore, the area of the garden is 33 ft².
Given that, the floor measures 4 1/2 ft by 3 3/4 ft.
The area of a floor=Length×Breadth=9/2×15/4=135/8 ft²
Number of tiles to cover the floor=135/8=16.875
Therefore, the number of tiles required to cover the floor is 17 tiles.
Given that, a dog pen is 3 1/3 yards wide by 5 2/3 yards long.
Now, the area of a dog pen=10/3×17/3=170/9 square yards.
Therefore, the area of a dog pen is 170/9 square yards.
To learn more about the area and the perimeter visit:
https://brainly.com/question/11957651.
#SPJ1
7w=1/2(w+v)
Solve for v.
Answers
Answer:
v = 13w
Step-by-step explanation:
\(7w = \frac{1}{2} (w+v)\\\\7w =\frac{(w+v)}{2} \\\\Cross\:Multiply\\7w\times 2 =w+v\\\\14w = w+v\\\\Collect\:like\:terms\\14w-w =v\\\\v = 13w\)
You purchase a bond with a coupon rate of 8.5% and par value of $2,000. The value of the bond rose to $2,500. What is the bond?
Answers
Answer:
The bond yield is 6.80%.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
You purchase a bond with a coupon rate of 8.5% and par value of $2,000. The value of the bond rose to $2,500. What is the bond yield?
The bond can now be calculated as follows:
Coupon payment = Coupon rate * Bond per value = 8.5% * $2,000 = $170
Bond yield = Coupon payment / Current value of the bond = $170 / $2,500 = 0.068, or 6.80%
Therefore, the bond yield is 6.80%.
I think the answer is:
- 2(5x+3)/(x+1)(x-5)(x+3)
But another person said:
10x-6/(x+3)(x+1)(x-5)
Who is correct? *Btw for my answer the whole fraction is negative not just the top or bottom.*
Answers
Lauren rides her bike 36 miles in 4 hours. How many feet is Lauren traveling each minute?
Answers
Answer:
786 feet per min
Step-by-step explanation:
60 (mins in an hour) x 4= 240 mins
there are 5240 feet in a mile
5240 (feet in a mile) x 36= 188640
188640 divided by 240= 768
f(x) = x3 -27
Find the zeros
Answers
Answer:
x=9
y=-27
Step-by-step explanation:
suppose a wafer can contain multiple number of dies. for a die with 2 cm diagonal, the wafer can fit 500 of the dies. what is the wafer area and peripheral? then, how many dies the same wafer can contain if each die has a side of 4 cm?
Answers
The area of the wafer is 1590.43 cm² and the number of dies the same wafer can contain if each die has a side of 4 cm is 63
If a wafer can contain 500 dies with 2 cm diagonal, then the wafer's diagonal length would be
√(2 * 2 * 500)
= sqrt(2000)
= 45 cm
Therefore, diagonal length would be 45 cm.
Area of wafer is given by,
= πr²
= π(45/2)²
= 1590.43 cm²
Therefore, the area of the Wafer is 1590.43 cm².
The number of dies that can be fixed if die has a side of 4 cm,
√4√2 x 4√2 x X = 45
32X = 2025
x = 63
Therefore, the number of dices that can be contained by the wafer if side is 4cm is 63
Learn more about Wafer dicing:
https://brainly.com/question/14286470
#SPJ4
please help urgent
Use the formula A = P(1 + rt) to find the indicated quantity. P=$7996; r = 6%; t = 10 months; Find A. OA. $8475.76 OB. $8395.80 OC. $399.80 OD. $6663.33
Answers
Answer:
B) \(\$8395.80\)
Step-by-step explanation:
\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)
This is all assuming that r=6% is an annual rate, making t=10/12 years
the four vertices of a regular tetrahedron are snipped off, leaving a triangular face in place of each corner and a hexagonal face in place of each original face of the tetrahedron. how many edges will the new polyhedron have?
Answers
If 4 vertices of a "regular-tetrahedron" are snipped off which leaves a "triangular-face" in place of each corner, then there will be 18 edges in the new polyhedron.
If we snip off the 4 vertices of a "regular-tetrahedron", leaving a triangular face in place of each corner and a hexagonal-face in place of each original face of the tetrahedron,
We get a truncated tetrahedron.
we know that a truncated-tetrahedron has ⇒ four regular "hexagonal-faces", four equilateral "triangular-faces", 12 vertices and 18 edges.
Therefore, the new polyhedron will have 18 edges.
Learn more about Polyhedron here
https://brainly.com/question/28718923
#SPJ4
a store sells 8 colors of balloons with at least 29 of each color. how many different combinations of 29 balloons can be chosen?
Answers
There are generally \(6.776 x 10^{35}\) particular combinations of 29 inflatables(balloons) that can be chosen from the store.
Given data,
Since there are 8 colors of balloons,
we need to select 29 balloons from each color to
Calculate a total of 29 x 8 = 232 balloons.
We need to find the number of different combinations of 29 balloons
that can be chosen from this set of 232 balloons.
Able to utilize the condition for combinations:
we know that,
C(n, r) = n! / (r! * (n - r)!) ...........(1)
where n is the complete number of things
and C is the combination of given(29) balloons.
r is the number of things to choose.
Substituting the above values into equation (1)
we get
C(232, 29) = 232! / (29! * (232 - 29)!) = \(6.776 x 10^{35}\)
Along these lines, there are generally \(6.776 x 10^{35}\) particular combinations of 29 inflatables(balloons) that can be chosen from the store.
To know more about the combination problems refer to this :
https://brainly.com/question/4658834
#SPJ4
the braille system of representing characters was developed early in the nineteenth century by louis braille. the charac- ters, used by the blind, consist of raised dots. the positions for the dots are selected from two vertical columns of three dots each. at least one raised dot must be present. how many distinct braille characters are possible?
Answers
The Braille system uses two vertical columns of three dots each to represent characters. There are 8 possible combinations for each column, giving a total of 64 distinct Braille characters.
The Braille system of representing characters was developed by Louis Braille in the early nineteenth century. This system is used by blind people and consists of raised dots that represent characters. The positions for the dots are selected from two vertical columns of three dots each. At least one raised dot must be present to represent a character.
To determine the number of distinct Braille characters possible, we need to consider the number of ways we can arrange the dots in the two vertical columns. Each column has three dots, and we need to choose which of these three dots to raise to represent a character. This gives us a total of 2^3 = 8 possible combinations for each column.
Since we have two columns, we can multiply the number of possible combinations for each column to get the total number of distinct Braille characters. This gives us 8 x 8 = 64 possible characters.
Learn more about blind people here:
brainly.com/question/30490877
#SPJ11
16. You decide to drop a penny off the top of the Willis Tower (fromerly the Sears Tower) in Chicago, IL. The
height of the penny (in feet) can be represented by the equation h= -16t2 + 1451 where t is time (in seconds).
a) How long will it take for the penny to hit the ground? Show any work that leads to your answer.
Answers
Answer:
9.5 seconds.
Step-by-step explanation:
We know that the equation that represents the height of the penny as a function of time is:
h(t) = -16*t^2 + 1451
Where the height is in ft, and the time is in seconds.
a) We want to know how long takes the penny to hit the ground.
Well, the penny will hit the ground when its height is equal to zero.
Then we need to solve for t:
h(t) = 0 = -16*t^2 + 1451
0 = -16*t^2 + 1451
16*t^2 = 1451
t^2 = 1451/16 = 90.7
t = √90.7 = 9.5
This means that it takes 9.5 seconds to hit the ground.
Answer:9.5 seconds
Step-by-step explanation:you subtract