Answers
Answer:
a) The distance travelled on the cycle in the first 14 seconds is 96 meters.
b) The acceleration in the first 4 seconds is 2 meters per square second.
Step-by-step explanation:
a) The distance travelled by the cycle is equal to the area below the curve, which is the sum of the first triangle and the rectangle:
[tex]\Delta x = \frac{1}{2}\cdot \left(8\,\frac{m}{s} \right) \cdot (4\,s-0\,s)+\left(8\,\frac{m}{s}\right)\cdot (14\,s-4\,s)[/tex]
[tex]\Delta x = 16\,m +80\,m[/tex]
[tex]\Delta x = 96\,m[/tex]
The distance travelled on the cycle in the first 14 seconds is 96 meters.
b) The acceleration is represented by the slope of the line, which is determined by definition of secant line:
[tex]a = \frac{v(4\,s)-v(0\,s)}{4\,s-0\,s}[/tex] (1)
[tex]a = \frac{8\,\frac{m}{s}-0\,\frac{m}{s}}{4\,s-0\,s}[/tex]
[tex]a =2\,\frac{m}{s^{2}}[/tex]
The acceleration in the first 4 seconds is 2 meters per square second.
Related Questions
Write the equation for each line: red, gray, purple, and blue.
Answers
red: y = -2x + 3
gray: y = 3x -2
purple: x = 5
blue y = -4
hope this helped <3
A rectangular prism is 1 inch long and 2 inches wide. Its volume is 12 cubic inches. What is the height of the rectangular prism?
Answers
Answer: 6 inches
Explanation:
12 = 1(2)h
12 = 2h
12 ÷ 2 = 2h ÷ 2 (isolating the H term)
6 = h
1/3(2x-4)+5 = -2/3(x+1)
Answers
Answer:
= -[tex]\frac{13}{4}[/tex]
Step-by-step explanation:
Solve stems by elimination
-3x+2y=-14
-9x+6y=-18
Answers
Answer:
I am getting no solution. Are there any answers that go with the problem?
..........................
Answers
Answer:
82.96
Step-by-step explanation:
area of box:
A = L^2 = (14 in.)^2 = 196 in.^2
area of pizza:
A = (pi)r^2 = 3.14 * (6 in.)^2 = 113.04 in.^2
Empty area:
196 in.^2 - 113.04 in.^2 = 82.96 in.^2
Solve for x. 8x + 1 = 5x + 22
Answers
Answer:
Step-by-step explanation:
8x + 1 = 5x + 22
8x - 5x + 1 = 5x- 5x + 22
3x + 1 = 22
3x + 1 - 1 = 22 - 1
3x = 21
x = 7
I’ll mark brainliest!
Probability.
Easy.
Answers
Answer:
18 people used bus
Step-by-step explanation:
now give me brainliest
Two equations are shown:
• Equation 1: 3/4(x– 12) = 12
Equation 2: 3/4y - 12 = 12
.
Solve each equation. Then, enter a number in each box to make this statement true.
The value of x is:
The value of y is:
Answers
Answer:
The value of x is: 28
The value of y is: 32
Step-by-step explanation:
Let us solve the question
∵ [tex]\frac{3}{4}[/tex] (x - 12) = 12 ⇒ (1)
→ Multiply each term in the bracket by [tex]\frac{3}{4}[/tex]
∴ [tex]\frac{3}{4}[/tex] (x) - [tex]\frac{3}{4}[/tex] (12) = 12
∴ [tex]\frac{3}{4}[/tex] x - 9 = 12
→ Add 9 to each side
∵ [tex]\frac{3}{4}[/tex] x - 9 + 9 = 12 + 9
∴ [tex]\frac{3}{4}[/tex] x = 21
→ Divide both sides by [tex]\frac{3}{4}[/tex] to find x
∴ x = 28
∵ [tex]\frac{3}{4}[/tex] y - 12 = 12 ⇒ (2)
→ Add 12 to both sides
∴ [tex]\frac{3}{4}[/tex] y - 12 + 12 = 12 + 12
∴ [tex]\frac{3}{4}[/tex] y = 24
→ Divide both sides by [tex]\frac{3}{4}[/tex] to find y
∴ y = 32
what's the correct answer?
Answers
Answer:
none
Step-by-step explanation:
did this test already
PLS HURRY. I HAVE A ZOOM CLASS SOON! Stan sells mangoes in boxes of 10. One day he sells 5 boxes of mangoes in the morning and 12 boxes of mangoes in the evening. Create an expression that can be used to determine how many more mangoes Stan sold in the evening than in the morning.
Answers
Answer: 12x (5x6)
Step-by-step explanation:
70 more⬅
if there is 10 mangoes in each box then
5x10=50
12x10=120
⬆(120÷12=10)
120-50=70
Which is a correct first step for solving this equation-5(4x-7)+=3x
Answers
Answer:
Start by multiplying -5 by 4x and -7.
Answer:
Changing the equation to -20x+35=3x
Step-by-step explanation:
You would multiply each number in the parenthesis by -5
Hope this helps :)
How many 1/2 cup servings are in a casserole that contains 5 1/4 cups?
Help
Pppppp
Answers
Can somebody plz help answer these true or false questions correctly thanks!!! (As many as u can or know) :3
WILL MARK BRAINLIEST WHOEVER CAN ANSWER FIRST:DDD
Answers
Answer:
false
true false false false
Step-by-step explanation:
Answer:
1) true
5)false
2)true
Step-by-step explanation:
hope it helps you...
Find the equation of the line shown.
y
10
9
8.
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10x
if correct will mark brainliest
Answers
Answer:
y = -x + 9
Step-by-step explanation:
✔️Find the slope using (9, 0) and (7, 2):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{7 - 9} = \frac{2}{-2} = -1 [/tex]
Slope (m) = -1
✔️Find the y-intercept (b):
The line intercepts the y-axis when y = 9. Therefore, y-intercept (b) = 9
✔️Substitute m = -1 and b = 9 into y = mx + b
Thus,
y = -1(x) + 9
y = -x + 9
Solve for x
A. 15
B. 22
C. 14
D. 21
E. 105
Answers
5x = 105, x = 21
Solution: D
Keisha reads a label on a measuring cup that shows 16 fluid ounces is the same as 2 cups.
Using this information, how many fluid ounces are in 5 cups?
A.40|
B.64
C32
D.24
Answers
Answer: D
Step-by-step explanation:
Solve system by using substitution show all work please quickly
x + y = 2
y = 5
Answers
Answer:
(-3, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define Systems
x + y = 2
y = 5
Step 2: Solve for x
Substitute in y: x + 5 = 2Isolate x term: x = -3A certain ball is dropped from 204 centimeters, and has a rebound factor of 72% (The height of the ball after each bounce is 72% of the height of the bounce before.). Which equation represents the relationship between the the number of bounces, n, and height, h, in centimeters? Group of answer choices
Answers
Answer:
The equation that represents the relationship between the number of bounces and the height is [tex]H = 204\cdot 0.72^{n}[/tex].
Step-by-step explanation:
According to this exercise, we notice that maximum height of the ball ([tex]H[/tex]), measured in centimeters, is reduced at geometric rate and as a function of the number of bounces ([tex]n[/tex]), with no unit, which is defined by geometric progression:
[tex]H = H_{o}\cdot r^{n}[/tex] (1)
Where:
[tex]H_{o}[/tex] - Initial height of the ball, measured in centimeters.
[tex]r[/tex] - Bounce factor, no unit.
If we know that [tex]H_{o} = 204\,cm[/tex] and [tex]r = 0.72[/tex], then the equation that represents the relationship between the number of bounces and the height is:
[tex]H = 204\cdot 0.72^{n}[/tex] (2)
Write 17% as a fraction in its simplest form.
Answers
Answer:How to Write 0.17 or 17% as a Fraction?
Decimal Fraction Percentage
0.2 20/100 20%
0.19 19/100 19%
0.18 18/100 18%
0.17 17/100 17%
Step-by-step explanation:
The percentage value ( 17 % ) as a fraction is A = 17/100
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the percentage value be represented as A
Now , the value of A = 17 %
And , percent" means "per hundred".
So, 17% means 17 per hundred, or 17/100
Hence , the fraction is A = 17/100
To learn more about fractions click :
https://brainly.com/question/29766013
#SPJ2
Which is the best estimate of
*4
*6
*22
*33
Answers
Answer:
17,424
Step-by-step explanation:
i just multiplied it
Answer:
The answer is 4.
In a bag there are 10p coins, 20p coins and 50p coins
there are three fewer 20p coins that 10p coins
theres are seven more 50p coins than 10p coins
altogether there are 61 coins
work out the total value of the 20p coins give your answer in pounds(£)
Answers
Answer:
Approximately 25p (please change to pounds by yourself I'm not European, sorry).
Ok so according to my research its 100 pence to one pound. Which will mean that 25p in pounds is £ 00.25
Step-by-step explanation:
let's say:10p= x20p= y 50p= z '3 fewer 20p (y) coins than 10p (x) coins'Therefore:y-3=x and y= x+3'7 more 50p coins (z) than 10p coins (x)'That is:z+7= xz= x-7'altogether are 61 coins'x+y+z = 61 (substitute for y and z)x + x + 3 + x - 7 = 61x+x+x+3-7 = 613x - 4= 613x= 61 + 43x=65x= 65÷3x= (approximately) 21.6 (Substitute x in y and z)y = x+3y = 21.6 + 3 = 24.6 (approximately 25)z = x -7z= 21.6-7= 14.6 (approximately 15)y= 20p y= 25p (approximately)Check x+y+z= ?21.6 + 24.6 + 14.6= 60.8 (approximately 61)(Sorry I couldn't change to pounds)
And I tried to explain as much as possible, you can ask if you're confused.
4a2∙3a5 = (4 + 3)a2+5 = 7a7
Answers
Answer: its false
Step-by-step explanation:
Answer:
a=5/7
Step-by-step explanation:
1. Calculate 5=(4+3)a ---- 5=7a
2. 5=7a --- 7a=5
3. Dvidie both sides 7a=5--- a=5/7
-10+7M= -10
Step by step and explain .
Answers
Answer:
Step-by-step explanation:
here you go mate
step 1
-10+7m= -10 equation
step 2
7m-10+10=-10+10
7m=0
step 3
[tex]\frac{7m}{7} =\frac{0}{7}[/tex] divide
answer
m=0
mind if i get brainliest?
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
M=0
Step-by-step explanation:
Help plz ! Find the slope of the line
Answers
Answer:
-2/1
Step-by-step explanation:
Cube-shaped shipping boxes, like the one shown, are packed into a van. They form a solid without gaps or overlaps that is 3 feet long, 2 feet wide, and 3 feet tall. What is the volume of the solid formed?
Answers
Answer: 18 feet
Step-by-step explanation:
You didn't put the picture but based on your question, the volume would be calculated by multiplying the length by the width and the height. This would be:
= Length × Width × Height
= 3 × 2 × 3
= 18 feet
15) For your birthday next year, you decide to start looking into getting a new cellphone. You do a lot of research on which plan will be best for you. You decide to pick the plan that has an initial fee of $275 and a monthly fee of $18.50.
When will the cost of your cell phone plan be $386?
Answers
Answer:
3 months ??
Step-by-step explanation:
Answer:
you have to pay monthly 6 times
Step-by-step explanation:
The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced?* O 15% O 25% O 75% 40% M
Answers
Answer:
25
Step-by-step explanation:
The new price, $45, can be expressed as a percentage of $60 by taking it as a fraction of $60, converting to a decimal value, and multiplying by 100%. $45/$60=3/4=0.75, 0.75x100%=75%. So since 100%-75%=25%, the value was reduced by 25%.
simplify the expression IabI if a>0 and b>0
Answers
Answer:
Step-by-step explanation:
The "ab" inside absolute value has to go out positive, such as |-2|=2
Since both the a and b values are positive, the value of |ab| should be "ab"
For example:
a=2
b=3
|ab| = |2*3| = |6| = 6
What's the slope of the equation y=-3/5x+4?
Answers
Answer:
the slope is 3/5
Step-by-step explanation:
and if you want the y intercept it's 4
Answer:
Use the slope-intercept form
y = m x +b
to find the slope m
m=3/5
Step-by-step explanation:
Teresa drives to her grandmother's house every summer. She travels 464 miles in 8 hours. At what speed does Teresa drive, in miles per hour?
Answers
Answer:
58 miles per hour
Step-by-step explanation:
464/8=58
Answer:
58mph
Step-by-step explanation:
