Answer:
The displacement of the dog which is the shortest distance between the two points is 5 meters 53.13° North of East
Step-by-step explanation:
The given parameters are;
The dog's displacement due East = 3 meters
The dog's displacement due North = 4 meters
The displacement, D motion of the dog can be written in vector form as follows;
D = 3i + 4j
The magnitude of the displacement is given as follows;
[tex]\left | D\right | = \sqrt{(3 \ meters)^2 + (4 \ meters)^2} = \sqrt{25 \ meters^2} =5 \ meters[/tex]
The displacement is the shortest distance between two points
The direction is given tan⁻¹(4/3) = 53.13° North of East
The displacement of the dog which is the shortest distance between the two points = 5 meters 53.13° North of East.
-29 = 5u+ 6-12u solve for u
Answer:
u=5
Step-by-step explanation:
-29 = 5u + 6 - 12u
-6 -6
-35 =5u - 12u
-7u
-35 = 7u
-35 divided by 7 to get u by itself equals 5
therefore u =5
Step-by-step explanation:
Reorder the terms:
6+5u+ -12u= -29
u =5
Point O is on line segment \overline{NP} NP . Given OP=8OP=8 and NO=2,NO=2, determine the length \overline{NP}. NP
Answer: The length of [tex]\overline{NP}[/tex] is 10 units.
Step-by-step explanation:
We are given that,
Point O is on line segment [tex]\overline{NP}[/tex] .
Then, [tex]\overline{NP}=\overline{NO}+\overline{OP}[/tex] (i)
Since we have given that OP=8 units and NO=2 units .
Now we will substitute these values in (i), we will get
[tex]\overline{NP}=8\ units+2\ units\\\\\Rightarrow\ \overline{NP}=10\ units[/tex]
Hence, the length of [tex]\overline{NP}[/tex] is 10 units.
So I keep getting 188 or 88 but I got the reminder right I’m not sure what I did wrong
Answer:
Step-by-step explanation:
7619 / 7
= 1088 remainder 3.
150 140 130 120 110 100 90 80 70 60 50 40
11.III
What is the measure of ZJHG?
J
30 20 10
G
H
degrees.
The measure of ZJHG is
Answer:
The measure of ∠JHG is 70 degreesStep-by-step explanation:
If you have one of angle's sides by 0° at protractor then the other side crosses the measure of angle.
The measure of ∠JHG is 70°
What are angles?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named 'angulus,' meaning “corner.”
Given: The protractor has a line that coincides with the line that makes an angle of 70° with the base and thus the ∠JHG =70
Hence, The measure of ∠JHG is 70°
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1) An elevator is on the 15th floor, it goes down 18 floors
and then up 5 floors. What floor is it on now?
Answer:
It is on floor 2
Step-by-step explanation:
15-18=-3
-3+5=2
hope this helped :)
Answer:
it is on the 2nd floor
Step-by-step explanation: this is because it started at 15, then went down 18: 15-18
-3
then it went up 5: -3+5 or 5-3
to end up at the 2nd floor
What will be the unit digit of the cube of a number ending with 4 ?
Answer:
Step-by-step explanation:
4
unit digit=4
cube=64
What is the value of the expression below when x equals 5?
16 + 10x
Answer:
66
Step-by-step explanation:
Plug in 5 for x
16 + 10(5)
16 + 50 = 66
Answer:
66
Step-by-step explanation:
So we have the expression:
[tex]16+10x[/tex]
To find the value of the expression when x is 5, substitute 5 for x:
[tex]=16+10(5)[/tex]
Multiply:
[tex]=16+50\\[/tex]
Add:
[tex]=66[/tex]
Write an equation and solve: Your math homework has 6 more than three
times the number of problems you have on your history worksheet. If you
have 42 problems to do for math and history, how many math problems do
you have to complete for homework?
Answer: 33 math problems.
Step-by-step explanation:
Let x = Number of math problems
y= Number of history problems
According to the question , we have
[tex]3y+6=x\ \ \ \ \ (i)\\\\ x+y=42\ \ \ \ (ii)[/tex]
We can rewrite (i) as [tex]x-3y=6[/tex] (iii)
Now, subtract (iii) from (ii), we get
[tex]y-(-3y)=42-6\\\\\Rightarrow\ y+3y=36\\\\\Rightarrow\ 4y=36\\\\\Rightarrow\ y= \dfrac{36}{4}\\\\\Rightarrow\ y=9[/tex]
Put this in (i), we get
[tex]x=3(9)+6 = 27+6=33[/tex]
Hence, you have to complete 33 math problems.
Someone please help me with 1-4!
The measure of angle 1 is (10 x + 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. 2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4. What is the measure of angle 2 in degrees?
Answer:
82°
Step-by-step explanation:
The given angles are vertical angles, so have the same measure:
(10x +8) = (12x -10
18 = 2x . . . . . . . . . . add 10-10x
9 = x
10x +8 = 10(9) +8 = 98
So, angles 1 and 3 measure 98°. Angles 2 and 4 are the supplement of this, so ...
∠2 = 180° -98° = 82°
Answer:
82
Step-by-step explanation:
Formula: (10x + 8)Angle 1 = (12x - 10)Angle 3
12x - 10x= 8 -(-10)
2x=18
9
you only need to insert the x value (9) into one equation because angles 1 and 3 are CONGRUENT.
(10 x 9) + 8 = ?
90 + 8= 98
and to solve the question, 180 - 98= 82.
82 is the answer
what is the answer to 9 + x = −2 for algebra 1?
Answer:
x = -11
Step-by-step explanation:
Answer:
x = -11
Step-by-step explanation:
9+x=−2
Step 1: Simplify both sides of the equation.
x+9=−2
Step 2: Subtract 9 from both sides.
x+9−9=−2−9
x=−11
What is a strategy that you can use when you are adding and subtracting more than 2 integers? What is your process? Example: -2 + -8 --5 +3 =
Answer: i just add 2 integers as i go
Step-by-step explanation: like for that problem i would go -2 +-8 is -10 then do -10 --5 which is -5 then do -5 +3 which is -2.
simplify 2x^2-1+4x^2-5
Answer:
6x^2-6
Step-by-step explanation: algebra
Thanks for the help, question below :)
Hello, please consider the following.
[tex]x^2-6x=-5\\\\\text{We add 5 to both sides of the equation}\\\\x^2-6x+\boxed{5}=-5+\boxed{5}=0\\\\\text{The answer to a) is then c = 5.}\\\\\text{We complete the square by noticing that }\\\\x^2-6x=x^2-2*3*x=(x-3)^2-3^2\\\\\text{So the main equation becomes.}\\\\x^2-6x+5=(x-3)^2-9+5=0\\\\\text{We simplify.}\\\\(x-3)^2-4=0[/tex]
[tex]\text{We add 4 to both sides.}\\\\(x-3)^2=4=2^2\\\\\text{The answer to b) is then}\\\\\boxed{(x-3)^2=4}\\\\\text{We take the root.}\\\\x-3=\pm2\\\\<=> x =3+2=5 \ \ or \ \ x=3-2=1\\\\\text{So the solutions are.}\\\\\Large \boxed{\sf \bf \ \ x=5 \ \ or \ \ x=1 \ \ }[/tex]
Thank you.
what does a hand-warmer generate
Answer: heat energy
Step-by-step explanation: not really a math question- but i'll explain it anyways. heat is the transfer of energy, and a hand warmer transfers energy to your hand, making it warm.
Answer:
Heat
Step-by-step explanation:
It generates heat that's why its a hand warmer.
What is the value of x?
Answer:
x = 15
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )
Thus
x² = 9 × (9 + 16) = 9 × 25 = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Hamzah's soccer team is trying to raise $620 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $20 for the breakfast. How many people need to attend their breakfast in order to raise $620?
Answer:
31 people
Step-by-step explanation:
Hamzah soccer team is trying to raise the amount of $620 to travel to a tournament in Florida
The soccer team decide to organise a pancake breakfast
Each person that attends the breakfast must pay $20
Therefore the amount of people needed to attend the breakfast to raise $620 can be calculated as follows
= 620/20
= 31
Hence 31 people need to be in attendance inorder to raise $620
In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
Answer:
16
Step-by-step explanation:
You add 7, 4 and 5 to get 16.
X+5x;x=5 A.30 B.25 C.5 D.20
Answer:
A
Step-by-step explanation:
x+5x if x =5 replace the variable with the key (x=5)
so now the problem reads
5+5*5
acording to oder of operations u do multipcaion 1rst
5+25
30
so ur answer is 30
in the end step by step looks like this
x+5x if x =5
5+5*5
5+25
30
Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design firm.
They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for
the initial consultation with the Nelsons, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge
$75.00 per hour for the house plans. Let a represent the number of hours for which Mr. and Mrs. Nelson hire the design firm. Which of the
following statements are true? Select all that apply.
Answer:
Options 2), 4), and 5) are correct
Step-by-step explanation:
Rock the House Digital Designs
Cost = $(500 + 50h)Elegant Home Architects
Cost = $(75h)===========================
Answer options:
1)The expression 50h represents the total charge for Rock the House Digital Designs.
Incorrect. Additional $500 charged.2)The expression 75h represents the total charge for Elegance Home Architects.
Correct3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.
Incorrect. They will choose one of the options.4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $12505)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875What are families of functions and how are they useful?
Answer:
Function families are groups of functions with similarities that make them easier to graph when you are familiar with the parent function. They're useful because if you know the parent function, you can figure out another function from there
Step-by-step explanation:
x/w=z/y^2 solve for y
Answer:
[tex]\Large \boxed{\displaystyle y=\sqrt{\frac{z \cdot w}{x}}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{w} =\frac{z}{y^2 }[/tex]
Cross multiplication.
[tex]x \cdot y^2 =z \cdot w[/tex]
Dividing both sides by [tex]x[/tex].
[tex]\displaystyle \frac{x \cdot y^2 }{x} =\frac{z \cdot w}{x}[/tex]
[tex]\displaystyle y^2 =\frac{z \cdot w}{x}[/tex]
Taking the square root of both sides.
[tex]\displaystyle \sqrt{y^2 } =\sqrt{\frac{z \cdot w}{x}}[/tex]
[tex]\displaystyle y=\sqrt{\frac{z \cdot w}{x}}[/tex]
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.Find the sum of all the multiples of 3 or 5 below 1000.
Given :
All the natural numbers below 1000 that are multiples of 3 or 5 .
To Find :
The sum of all the multiples of 3 or 5 below 1000.
Solution :
Max multiple of 3 is 999 .
Max multiple of 5 id 995 .
So , number of multiple of 3 is :
[tex]999=a+(n-1)d\\\\999=3+3(n-1)\\\\n=333[/tex]
Similarly for 5 .
[tex]995=a+(n-1)d\\\\995=5+5(n-1)\\\\n=199[/tex]
Now , sum of all multiple of 3 is given by :
[tex]S_3=\dfrac{n}{2}(2a+(n-1)d)\\\\S_3=\dfrac{333\times (2\times 3+332\times 3)}{2}\\\\S_3=166833[/tex]
Also , sum of all multiple of 5 is :
[tex]S_5=\dfrac{n}{2}(2a+(n-1)d)\\\\S_5=\dfrac{199\times (2\times 5+198\times 5)}{2}\\\\S_5=99500[/tex]
Therefore , total sum :
[tex]T=S_3+S_5\\\\T=166833+99500\\\\T=266333[/tex]
Now , there are some common number which we add two times like :
15 , 30 , 60 ......
So , we should subtract the sum of all multiple of 15 from T .
Now , sum of all multiple of 15 is 33165 .
So ,
[tex]T=266333-33165\\\\T=233168[/tex]
Therefore , the sum of all the multiples of 3 or 5 below 1000 is 233168 .
which represents a function?
it is B because the x value does not repeat twice
Answer:
the one in the middle
Step-by-step explanation:
why because if you see the x axis when you go over it the one that has a funtion dosent have two of the same number but the one that dosent haves two of the same numbers
What is 8 2/5 as a decimal number
Answer:
8.4
Step-by-step explanation:
8 is a whole njmber, so it stays the same.
2/5 is equivalent to .4, so you put that at the end.
Your answer is 8.4 Hope this helps!
The decimal number is 8.4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
8(2/5)
= (8 x 5 + 2) / 5
= (40 + 2) / 5
= 42/5
= 8.4
Thus,
The decimal number is 8.4.
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What is the independent and dependent variable? Whats the (x) and (y) axis?
Answer:
x-axis(independent) = 1.5
y-axis(dependant) = 75ft
Step-by-step explanation:
An INDEPENDENT variable is the variable yourself can not change, in this case its time. The DEPENDANT variable is the variable that is changed to affect data you are solving for. Idk if this helps you at all to understand for future references but i hope it did!
Solve the equation. Check the solution.
8- 2x - 5- 13x = 6
Answer:
see below
Step-by-step explanation:
8- 2x - 5- 13x = 6
Combine like terms
-15x+3=6
Subtract 3 from each side
-15x+3-3=6-3
-15x = 3
Divide each side by -15
x = 3/-15
x = -1/5
Check
8 - 2(-1/5) -5 -13(-1/5) = 6
8 + 2/5 -5 +13/5 = 6
3 + 15/5 = 6
3+3=6
6=6
Greg bought a new car for £18000.
In the first year the value of the car depreciates by 30%.
In the second year and the third year the car depreciates by 14%
Work out the value of the car after three years.
Answer:
£9318.96
Step-by-step explanation:
18000×0.7×0.86^(2)=£9318.96
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
Answer:
See Explanation
Step-by-step explanation:
The options are not given; however, the solution is as follows;
[tex]3y = 27x[/tex]
Required
Determine relationships with the same constant of proportionality (k)
[tex]3y = 27x[/tex]
Divide both sides by 3
[tex]\frac{3y}{3} = \frac{27x}{3}[/tex]
[tex]y = \frac{27x}{3}[/tex]
[tex]y = 9x[/tex]
The relationship between y, x and k is:
[tex]y = kx[/tex]
Comparing [tex]y = kx[/tex] with [tex]y = 9x[/tex]; then
[tex]k = 9[/tex]
Hence, any of the options with k=9 answers the question.
Take for instance:
[tex]2y = 18x[/tex]
Dividing both sides by 2 gives
[tex]y = 9x[/tex] and hence; [tex]k = 9[/tex]
Answer:
The answers are A B and C
Step-by-step explanation:
I just got it right
1. Simplify the expression. 3[(11–6)2+5]
A 5
B 3
C 15
D 6
Answer:
3 is the answer
mutiply and open bracket minus each other