Answer:
11x + 5
Step-by-step explanation:
To simply, just combine like terms.
10 + 7x - 5 + 4x
[Add 7x and 4x]
↓
11x + 10 - 5
[Subtract 5 from 10]
↓
11x + 5
Tran is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole at the origin. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. The final clue is located 5 units south of the flagpole. Plot the locations of the flagpole and the 3 clues on the coordinate plane and show the path students will follow from the flagpole to all three clues. . Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3?
Answer:
The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet
Step-by-step explanation:
The given coordinates of the clues for the treasure hunt are
The location of the first clue = 5 units north of the flag pole
The coordinates is (0, 5)
The location of the second clue = 6 units east of the flag pole
The coordinates is (6, 0)
The location of the final clue = 5 units south of the flag pole
The coordinates is (0, -5)
The flagpole is at the origin
The coordinates of the flagpole is (0, 0)
Each unit on the graph = 50 feet
From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;
The shortest distance between 2 points is a straight line
Therefore
The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units
The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet
The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units
The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet
By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61
The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet
Answer face for20 points!The square root of 144 is 12, because12 x 12 = 144. The square root of 169 is 13, because
13 x 13 = 169 Which expression will give the closest approximation to the square root of 156?
B.
169 - 144
13
2
C
+
D
169
144 +
9;144)
Answer:
C
Step-by-step explanation:
Sq root of 156 HAS to be between 12 and 13
12+(13-12)/2
12+1/2
12.5
Help ASAP pls now and thank u
Answer:
A)25
Step-by-step explanation:
5 x 5 = 25
Answer:
B.......
because to work out the area of a sphere we use
4 pie (r)²
solve 15=2y - 5 (for homework)
y=10
2×10=20-5=15
.......
Answer:
y=10
Step-by-step explanation:
15 = 2y - 5
add 5 to both sides
15 + 5 = 2y - 5 + 5
add the numbers
20 = 5y
divide
y = 10
Use the first five terms of the trigonometric series to approximate the value of sin to four decimal places. Then compare
the approximation to the actual value.
a. -0.9568, -0.9659
b. -0.9649, -0.9659
C. 0.5884, 0.5878
d. -0.9609, -0.9659
Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.
Longer, proper answer:
The first five terms in the series expansion of sin(x) are
sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!
Now let x = 4π/5:
sin(4π/5) ≈ 0.5884
so again the answer must be C.
Trigonometric series : A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.
Option c is correct.
First five term of Trigonometric series of sin is shown below,
[tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]
substitute x = [tex]\frac{4\pi }{5}[/tex]
[tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]
After solving,
We get, approximation value of [tex]sin\frac{4\pi }{5}=0.5884[/tex]
Now find , actual value
[tex]sin\frac{4\pi }{5}=0.5878[/tex]
Learn more:
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Will mark Brainliest!!!
A. Quadrant 1
B. Quadrant 2
C. Quadrant 3
D. Quadrant 4
Answer:
C
Step-by-step explanation:
Please help I’ll mark brainliest
Answer:
y= x-3
Step-by-step explanation:
use the slope formula which is y= m(slope)x + b(y intercept)
The slope is one, so you can just leave it as x, and the y intercept is -3 so you can plus that into the b.
Hope this helps :)
In AXYZ, X = 260 inches, y = 580 inches and ZZ=8°. Find the area of AXYZ, to the
nearest square inch.
Answer:
10494
Step-by-step explanation:
trust
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Step-by-step explanation:
B the median is less than the mean
Solve the following equation by completing the square. x2-18x+78=0
A chemist has a 100 gram sample of a radioactive
material. He records the amount of radioactive material
every week for 6 weeks and obtains the data in the
table below.
look at the picture please <3 i really need this asap
Answer:
75
Step-by-step explanation:
did it 5 mins ago
Which data set has a variation, or mean absolute deviation, similar to the data set in the given dot plot
Answer:
The anwser is C
Step-by-step explanation:
i did the test
Factor each expression completely
4x² + 6x – 40
Show your work!!!
NO LINKS PLS
Answer:
4x²+6x-40
2(2x²+3x-20) factor out 2
2(2x²+8x-5x-20) split the three into a difference
2(2x(x+4)-5x-20) factor the 2 out of first pair of parenthesis
2(2x(x+4)-5(x+4)) factor the 5 out of second pair of parenthesis
2(x+4)(2x-5) factor
= 2(x+4)(2x-5)
Step-by-step explanation:
i hope this helps :)
Explain why this is not a polygon (10 points)
What is the slope of the line ?
Answer:
The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Step-by-step explanation:
Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
yo i need help with this question please and thank u i need the correct answer to please i will give u a brainliest as well
1.2 career planning financial algebra
Needs more info about your question please
QUESTION 10 of 10: You pay $1,000 for your insurance policy that covers up to $1 million in losses. If the insurance company just broke even
on similar policies, which of the following is closest to the odds the insurance company assumes for your making a claim of $1 million?
оооо
O a) 1 in 2
Ob) 1 in 5
c) 1 in 50
d) 1 in 1,000
Answer:
It's D - 1 in 1,000
Step-by-step explanation:
If the company breaks even, it collects $1,000,000 and pays out $1,000,000. If it collects $1,000 from each company, that means it sold $1,000,000 / $1,000 = 1,000 policies, and it paid out on one of them. This means the expected odds are 1 in 1,000.
The one which is closest to the odds the insurance company assumes for your claiming $1 million is 1 in 1000. Hence, option D is correct.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given data in the question,
If the business is profitable, it will receive $1,000,000 and spend $1,000,000.
If it receives $1,000 from each business, it has sold,
$1,000,000 / $1,000 = 1,000 policies, and one of them saw a payout.
This indicates that the likelihood is 1 in 1,000.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ2
y = x-2
What is the y-intercept of this line?
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the value of x in the equation 0.7x – 1.4 = –3.5?
–7
–3
3
7
Answer:
0.7x - 1.4 =-3.5
+1.4 +1.4 Step one: add 1.4 to both sides to cancel out 1.4
0.7x = -2.1
---- ----- Step two: divide both sides by 0.7
0.7 0.7
x = -3 The answer is x = -3.
Answer:
B
Step-by-step explanation:
y = x2 + 12x + 30
8x − y
What is the area of the figure?
A. 44 sq cm
B. 208 sq cm
C. 192 sq cm
D. 256 sq cm
Answer:
256
Step-by-step explanation:
Answer:
256 cm
Step-by-step explanation:
16 x 4 = 64
16 x 8 = 128
8 x 8 = 64
64 + 64 = 128 + 128 = 256
Help me, please. I really need to get past this.
Answer:
5x=180
-5. -5.
×= 175
Answer: I am pretty sure the answer is 24
Step-by-step explanation:
So since the two angles are vertical opposite angles, they are congruent angles. Then,
120 = 5x
120/5 = 5x/5
24 = x
A pathway made of slate tiles measures513yards long. A tile measuring 2 feet is added to the end of the pathway.
What is the total length of the pathway now?
513ft
1023ft
18 ft
22 ft
Answer:
22
Step-by-step explanation:
18 feet. The answers are actually 5 1/3 ft, 10 2/3 ft, 18 ft and 22 ft, with 18 feet being the correct choice.
PLEASE HELP IVE BEEN TRYING FOR HOURS!! - algebra 1
A rectangular prism has a legnth of 9 in., a width of 4 in., and a height of 1 1/2 in.
The prism is filled with cubes that have edge lengths of 1/2 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
TO FILL THE RECTANGULAR PRISM, _____ CUBES ARE NEEDED
Answer:
432 cubes
Step-by-step explanation:
V = 9 x 4 x 1.5 = 54 in³
V = 1/2 x 1/2 x 1/2 = 1/8 in³
54/(1/8) = 432 cubes
A rope is dropped from the helicopter and it is perpendicular to the ground. What is the distance between Jeremiah and the rope?
Answer:
About 3000 feet
Step-by-step explanation:
This is a 30,60 90 triangle, all the angles in a triangle adds up to 180.
Use sin ratio
sin 60 = [tex]\frac{o}{4000}[/tex] o for opposite side of triangle from the 60 degree angle
o = 4000 (sin 60) = 3464.11
Use cosine
cos 30 = [tex]\frac{a}{3464.11}[/tex] a for adjacent side of triangle from the 30 degree angle
3464.11 (cos 30) = 3000.01
12 + 3y = 21
Expression or Equation:
Answer:
equation
Step-by-step explanation:
12 + 3y = 21
-12. -12
__________
3y = 9
y = 3
Solve for the value of x in the following parallelograms.
Helppp, thanksss:)
convert 3.34 as a fraction in its simplest form
Answer:
3 17/50
Step-by-step explanation: