Answer:
a) Josef jogging from A to B;
i. speed = 2 m/s
ii. velocity = 2m/s
a) a) Josef jogging from A to C;
speed = 1.9 m/s
ii. velocity = 2.2 m/s
Step-by-step explanation:
One major difference between speed and velocity is that speed is a scalar quantity, while velocity is a vector quantity.
a) Josef jogging from A to B;
distance = 300 m
time = 2.5 seconds = 150 seconds
i. his average speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{300}{150}[/tex]
= 2 m/s
ii. his average velocity = [tex]\frac{displacement}{time}[/tex]
= [tex]\frac{300}{150}[/tex]
= 2 m/s
b) Josef jogging from A to C,
distance = 300 + 100 = 400 m
time = 2.5 + 1 = 3.5 minutes
= 210 seconds
i. his average speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{400}{210}[/tex]
= 1.9 m/s
ii. his average velocity = [tex]\frac{\sqrt{V_{1} ^{2} + V_{2} ^{2} } }{2}[/tex]
[tex]V_{1} ^{2}[/tex] = 4 m/s
[tex]V_{2} ^{2}[/tex] = 1.9 m/s
his average velocity = [tex]\frac{\sqrt{4^{2} + 1.9^{2} } }{2}[/tex]
= 2.2 m/s
Recall that variables represent changing values. In this unit, you will work with
equations that contain two different variables. What types of situations might be
modeled with equations containing two or more variables? If the value of one variable
changes, must the value of the other variable change for the equation to remain true?
How would the number of solutions for an equation with two variables differ from the
number of solutions for an equation with only one? Explain
Answer:
It depends on the equations and the variables.
Example of an equation in 2 variables with infinitely many solutions:
sin2x - cos2y + cos2x - sin2y = 0
Example of an equation in 1 variable with 2 solutions:
(x - 1)(x - 2) = 0
Example of 2 equations in 2 variables with no solution:
The intersection of the lines given by
y = 3x + 1
y = 3x + 2
Example of an equation in 1 variable with 1 solution:
5x - 4 = 15
Example of an equation in 1 variable with no real solution:
x2 + 49 = 0
We can go on and on with examples like this. The question is way too general.
Step-by-step explanation:
please mark as brainliest
please mark as brainliest
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
Ir = 4cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.
Answer:
38.8%
Step-by-step explanation:
Area of the triange:
6*6.5*.5= 19.5
Area of the circle:
π*16= 16π
19.5/16π= .387940174
38.8%
Answer:
38.8%
Step-by-step explanation:
i need help with this asap !!
Answer:
x^2-2x-13
Step-by-step explanation:
f(x) = 2x-5
g(x) = x^2 -4x-8
f(x) +g(x) = 2x-5 + x^2 -4x-8
Combine like terms
= x^2+2x-4x-5-8
=x^2-2x-13
what is the equation of the red graph? g(x)=? A. g(x)=-x^2 B. g(x)=x^2 C. g(x)=(4-x)^2 D. g(x)=(8-x)^2
the answer of course is bobbies
Answer
the answer if b in the above
Find √10 yo the nearest hundredth
Answer:
√10 = 3.16
Step-by-step explanation:
using calculator
√10 = 3.162277660168379
Hundredths is the second decimal place.
Since the next decimal place is less than 5
there is no need to round up
√10 = 3.16
What portion of shared $7500 security costs should be apportioned to store A?
Answer:
3,750
Step-by-step explanation:
2500+1250+625+625=5000
2500/5000=.50 or 50%
7500X.50=3750
The area of a rectangular painting is 5049 cm. If the width of the painting is 51 cm, what is its
length?
Answer:
The length is 99 centimeters.
Step-by-step explanation:
The area of a rectangle is found by multiplying:
A = Length • width
We also know that the area of the rectangular painting is 5,049 cm^2
An equation to represent this is:
51w = 5049
To find w, divide:
5049/51 = 99
CHECK YOUR ANSWER:
Formula tor area of a rectangle:
Length x width
Use formula with the measurements:
99 x 52 = 5049
So the length is 99 centimeters.
HOPE THIS HELPS!
Fill in the blank. Given O below, you can conclude that SO is congruent to ___
Answer:
AO
Step-by-step explanation:
203 cm
196 cm
Question 1:
The formula to calculate the perimeter of the banner is
(a) 2 (1+ b)
(b) 2xrh + 2A
(c) a + (21 + b)
(d) 2 (1 + b) + ar
Answer:
πr + (2l + b)
Step-by-step explanation:
The figure is a composite figure, consisting of a semicircle and a rectangle :
The perimeter of a rectangle is the sum of the sides ;
Perimeter of semicircle is the 2πr/2 (Circumference / 2)
For the triangle, we take the sum of 3 sides ;
Length + length + breadth = 2l + b
Hence, the perimeter is :
2πr/2 + 2l + b
πr + (2l + b)
Two numbers have a sum of 124
Write in algebraic expression
Answer:
Step-by-step explanation:
Let one number = x
Let the other number = y
x + y = 124
You can't go any further than that without more information.
The good news is that no number is excluded.
x = 248
y = -124 for example
−5x+2y=9
y=7x
solve the system of equation
No files just type it in please and thank you
Answer:
The answer is A - 5×9 I think so..
Find the area of the circle. Round your answer to two decimal places, if necessary.
Answer:
379.94 in.²
Step-by-step explanation:
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]a=\pi r^2[/tex]
In the image, the diameter is shown.
To find the radius of a circle, divide the diameter by 2.
[tex]22/2=11[/tex]
The radius of this circle is 11 inches.
Next, multiply the radius by itself twice.
[tex]11*11=121[/tex]
Lastly, multiply the product by pi (3.14).
[tex]121*3.14=379.94[/tex]
Therefore, the area of this circle is 379.94 inches squared.
I need some help
A rectangular prism with 6 square faces is called
A)square
B)polygon
C)Cube
D)Rhombus
Answer:
cube
Step-by-step explanation:
prisms are 3d figures just like cubes are
the other options are just 2d figures
[tex]\huge\tt\pink{Answer}[/tex]
C. Cube or Cuboid
A cuboid is a solid that has six rectangular faces--think of a typical box. All faces are either parallel or perpendicular to each other. Further, a cuboid is a right rectangular prism. A cuboid with six square faces is a cube, whereas a cuboid with at least two square faces is known as a square cuboid.
1, 3, 2, 2, 1, 3, 3, 1
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
Answer:
(I only know part A. sorry) The mean is 2.
Step-by-step explanation:
To find the mean of data you have to add all of the numbers and then divide by the total number of numbers being added. (I hope that made sense)
So you have to do- 1+3+2+2+1+3+3+1=16 -and then- 16÷8=2 -so you're answer is 2.
A girl runs 2 km in 1 hour . How long will she take to ran 500 m ?
Answer:
1/4 he
Step-by-step explanation:
Answer:
1/4 hour
Step-by-step explanation:
convert 2 km to m
1 km = 1000m
2 km = 2*1000 m
=2000 m
distance time taken
2000 m 1 hour
500 m let be x
2000/500 = 1/x
do cross multiplication
500*1 = 2000*x
500/2000 = x
1/4 = x
What is the volume of the cube below?
Answer:
D. 9h
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cuboid Formula: V = a²h
a is the sides of the cubeh is the heightStep-by-step explanation:
Step 1: Define
Identify variables
a = 3
h = h
Step 2: Find Volume
Substitute in variables [Volume of a Cuboid Formula]: V = 3²hEvaluate exponents: V = 9hAnswer:
D. 9h
Step-by-step explanation:
Volume of a cube = Length × Width× Height
= 3×3×h
= 9h
what is the answer to 7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)
Answer:
m=-2
Step-by-step explanation:
A textbook store sold a combined total of 361 chemistry and biology textbooks in a week the number of chemistry textbooks sold was 45 more than the number of biology textbooks sold.how many textbooks of each type were sold?
Answer:
Chemistry Books- 203 and Biology Books- 158
Step-by-step explanation:
I'm not sure myself how I did it since I don't have an exact method but I can guarantee that the answer is correct. (Quick sum-up of what I kinda did though. Divide both numbers by 2, then added (22, about half of 45), add 180 (about half of 361) and then subtracted 202 from 361. Realized that it was one off so I just made it 203 and 158)
Sorry for the mess of an explanation but hope it helps!
* please help*
What are the solutions of equation (x — 2)^2 = -3x + 6
Select all that apply.
A X= -3
B. X= -2
C. X= -1
D. x= 3
E. x= 1
F. X= 0
G. X= 2
Answer:
C and G
Step-by-step explanation:
Given
(x - 2)² = - 3x + 6 ← expand left side using FOIL
x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 → G
x + 1 = 0 ⇒ x = - 1 → C
what is the equation of the parabola with focus (-1/4,-2/3) and directrix y=3/4?
A. y = -x^2 +8x -7
B. y = -1/2x^2 +14/5x +17/53
C. y = -6/17x^2 - 3/17x +1/51
D. y = -1/6x^2
Given:
Focus of the parabola = [tex]\left(-\dfrac{1}{4},-\dfrac{2}{3}\right)[/tex]
Directrix of the parabola is [tex]y=\dfrac{3}{4}[/tex].
To find:
The equation of the parabola.
Solution:
The equation of the parabola is:
[tex](x-h)^2=4p(y-k)[/tex] ...(i)
Where, (h,k) is vertex, (h,k+p) is focus and [tex]y=k-p[/tex] is the directrix.
It is given that the focus of the parabola is at [tex][/tex].
[tex](h,k+p)=\left(-\dfrac{1}{4},-\dfrac{2}{3}\right)[/tex]
On comparing both sides, we get
[tex]h=-\dfrac{1}{4}[/tex]
[tex]k+p=-\dfrac{2}{3}[/tex] ...(ii)
Directrix of the parabola is [tex]y=\dfrac{3}{4}[/tex]. So,
[tex]k-p=\dfrac{3}{4}[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2k=-\dfrac{2}{3}+\dfrac{3}{4}[/tex]
[tex]2k=\dfrac{-8+9}{12}[/tex]
[tex]k=\dfrac{1}{12\times 2}[/tex]
[tex]k=\dfrac{1}{24}[/tex]
Putting [tex]k=\dfrac{1}{24}[/tex] in (ii), we get
[tex]\dfrac{1}{24}+p=-\dfrac{2}{3}[/tex]
[tex]p=-\dfrac{2}{3}-\dfrac{1}{24}[/tex]
[tex]p=\dfrac{-16-1}{24}[/tex]
[tex]p=\dfrac{-17}{24}[/tex]
Putting [tex]h=-\dfrac{1}{4},k=\dfrac{1}{24}, p=-\dfrac{17}{24}[/tex] in (i), we get
[tex]\left(x-(-\dfrac{1}{4})\right)^2=4\left(-\dfrac{17}{24}\right)\left(y-\dfrac{1}{24}\right)[/tex]
[tex]\left(x+\dfrac{1}{4}\right)^2=-\dfrac{17}{6}\left(y-\dfrac{1}{24}\right)[/tex]
[tex]x^2+2(x)(\dfrac{1}{4})+(\dfrac{1}{4})^2=-\dfrac{17}{6}\left(y-\dfrac{1}{24}\right)[/tex]
[tex]-\dfrac{6}{17}\left(x^2+\dfrac{1}{2}x+\dfrac{1}{16}\right)=y-\dfrac{1}{24}[/tex]
On further simplification, we get
[tex]-\dfrac{6}{17}(x^2)-\dfrac{6}{17}(\dfrac{1}{2}x)-\dfrac{6}{17}(\dfrac{1}{16})=y-\dfrac{1}{24}[/tex]
[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x-\dfrac{3}{136}+\dfrac{1}{24}=y[/tex]
[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{-9+17}{408}=y[/tex]
[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{8}{408}=y[/tex]
[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{1}{51}=y[/tex]
Therefore, the equation of the parabola is [tex]y=-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{1}{51}[/tex]. Hence, the correct option is C.
hope your having a good day!
Answer:
yes im am gydyd6rrfxjdjsjwjejwhwwehebrhrhhrrhrhrhdhrhehrhehrhrhdhdhdhdhddhdgdgdhr
Sam had $42 to spend on 12 raffle tickets. After buying them he had $6 left. How much did each raffle ticket cost?
Answer:
Each raffle ticket cost $3.
Which of the following represents the factorization of the trinomial below?
-3x2 – 18x2 – 24x
Answer:
-3x(7x+8)
Step-by-step explanation:
-3x^2-18x^2-24x
-3x(x+6x+8)
-3x(7x+8)
find the derivative of the following function, with a positive index (differentiation)
pls help there’s a picture
Answer:
2nd option
Step-by-step explanation:
Using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
f(x) = [tex]\frac{3}{2\sqrt[3]{x} }[/tex] = [tex]\frac{3}{2x^{\frac{1}{3} } }[/tex] = [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{1}{3} }[/tex] , then
f'(x) = - [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{4}{3} }[/tex]
= - [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{x^{\frac{4}{3} } }[/tex]
= - [tex]\frac{1}{2x^{\frac{4}{3} } }[/tex] = - [tex]\frac{1}{2\sqrt[3]{x^4} }[/tex] [ Note there should be a leading negative ]
Who hates math? I'm not too fond of math, but I love numbers.
I am math lover .Before I am also not too fond of math , but if you practiced it will be easy and you loves to do maths and your interest will increase .Sorry for late Answer of attachment will be 5190.
hope it is helpful to you
Answer:
your answer will be 5,190
Step-by-step explanation:
fist you have to subtract 80 from 599 and u will get 519 then you multiply to get the answer
I am also not so good in Math so I still try to help u
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?
5
B
С
4
3
2
A
D
1
-7 -6 -5 -4
-3 -2
-10
1
2
3
4
D' = ([?], [ ]
-2.
9514 1404 393
Answer:
D'(4, 0)
Step-by-step explanation:
(x, y) ⇒ (x +3, y -2)
D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)
Calculate the following:
5 +0,3 +0,04 + 0,008 in steps
Answer:
5.348
Step-by-step explanation:
5 + 0.3 + 0.04 + 0.008
If you find this difficult to calculate put zeroes in Hundredths place and thousandths place
=> 5.000 + 0.300 + 0.040 + 0.008
=>5.348
Helppp and explain please and ty ;)
Answer:
Does this seem right to you?
Which statement is NOT true concerning the graphing of a linear system?
------------------------------------------------------------------------------------------------------------------------------
Systems of linear equations that contain coordinates with fractions or decimals can be challenging.
You need to be careful and plot straight lines.
You can only graph a system of linear equations with a graphing calculator.
The point of intersection of lines that intersect at a shallow angle is difficult to determine.
You can only graph a system of linear equations.