Answers
9.
J (0 , -10)
gradient/slope(m) = 2.
We're asked to find K if K is the X- Intercept.
At the x intercept... the corresponding y value is zero. This concept should be pretty clear.
Reason is...
At the Point where the line touches the x axis...If you trace the y value... It will be at point zero(0).
With this Knowledge
We're able to interprete that the points of K is
(x" , 0)
Where x" represents the x coordinate of K
So
J ( 0, - 10)
K ( x" , 0)
m= 2.
Applying the Gradient/Slope Formula
m = y₂ - y₁/x₂ - x₁
x₁ = 0 y₁ = -10
x₂ = x" y₂ = 0
Substituting
2 = 0 - ( -10)/ (x" - 0)
2 = 10/x"
x" = 10/2
x" = 5.
Coordinates of Point K is ( 5 , 0).
THIS IS YOUR ANSWER!.
10.
Total Time Taken = 16secs
10a). We're asked to calculate the rate of speed change for the first 5secs.
This is another way of saying "Calculate Acceleration" in the first 5sec of Motion.
Why?
Acceleration is the rate of change of speed or the rate at which speed changes.
acceleration = v - u/t
where v = Final Speed
u = initial Speed.
Looking at the graph
You see that
Initial speed(u) = 1m/s
Final Speed(v) = 9m/s
t = 5secs
Acceleration = 9 - 1/ 5
a = 8/5
a = 1.6m/s².✅
10b)
We're asked to calc "t" from the graph.
Given that the acceleration at "t" untill 16sec(end of motion) is 2m/s².
This simply means that Constant Acceleration was held from "t" to the end of the Motion.
Do not confuse Constant Acceleration for Constant Velocity.
At Constant Velocity... Acceleration is zero(0)
At Constant Acceleration...Velocity Changes Uniformly or at the same rate each second and this is what we're dealing with in this question.
Taking the same step as we used in calculating acceleration above
Given a= 2m/s²
a = v - u/∆t
Where ∆t means time change or difference.
From "t" to 16
The change in time is 16 - "t"
2 = 21 - 9/( 16 - t)
2 = 12/16-t
16-t = 12/2
16 - t = 6
t = 16 - 6
t = 10secs.✅
Have a great Day!.
Related Questions
can someone please help me with this?
Answers
I think the given figure will help you....
A swimmer wins the 50-yard freestyle with a time of 24.76 seconds. Find the swimmer’s average speed to the nearest hundredth of a yard per second.
Answers
Answer:
2.02 yards per second
Step-by-step explanation:
Distance/time= Average speed or speed
50yard/ 24.76sec= 2.01938 yards per second ~ 2.02 yards per second
How many significant figures does 4857.169 have?
Answers
Answer:
Significant Figures
7
4857.169
Decimals
3
4857.169
Scientific Notation
4.857169 × 103
E-Notation
4.857169e+3
Words
four thousand eight hundred fifty-seven point one six nine
Explanation: Mark Brainliest plz
Answer:
plz mark me as a brainliest i really need it
Step-by-step explanation:
4857.169
Sig Figs
7
4857.169
Decimals
3
4857.169
Scientific Notation
4.857169 × 103
E-Notation
4.857169e+3
Words
four thousand eight hundred fifty-seven point one six nine
Help me
6 = 1/5 (4y + 10)
Answers
Step-by-step explanation:
open the bracket
6={(1/5×4y) + 1/5×10}
6=4/5y+2
6-2=4/5y
4=4/5y
divide both sides by 4/5
y=1/5
The answer you are looking for is y=5.
Solution/Explanation:
Writing out the problem,
6=1/5(4y+10)
Using the Distributive Property,
6=4/5y+2
Subtracting 2 from both sides of the equation,
6-2=4/5y
4=4/5y
Multiplying both sides by 5, to transform the fraction into a whole number,
20=4y
Finally, dividing both sides by 4,
So, therefore the final answer is y=5.
Solve for A if
T = 3.14 and r = 3.
A = ar2
Enter the number that belongs in the green box
A = [?]
Answers
Answer:
28.26 is the correct answer
Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?
Answers
Answer:
1/4 chance
Step-by-step explanation:
First you need to find the probability of Tess choosing a red ribbon.
1/2
Then you need to multiply that probability by the reciprocal of 2, which is 1/2
1/2 x 1/2 = 1/4
If you buy a stock originally valued at 2500 then sell that stock later at $2550 what is the percent of increase in the stock
Answers
Answer:
2550-2500 = 50
25% percent increase.
Which statements are true?
Select each correct answer.
Function 1 has a greater rate of change than function
2. Function 2 has a greater rate of change than function
3: Function 1 has a greater y-intercept than function
4: Function 2 has a greater y-intercept than function 1.
Answers
Answer:
the class started a new one
Use objects or shapes to describe a a right angle
Answers
Answer:
square because it has 4 90⁰ angles
what's the Answer ?
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
Answers
Answer:
Solution given;
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]
[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]
[tex]\dfrac{15}{3}[/tex]
=5
Answer:
First, simplify the content under root:
[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]Now, use the following identity:
[tex]\sqrt{a^2} = |a|[/tex] = ± aLast, we get:
√25 = √5² = ± 5por favor sumar 3/4 4/5 7/8
Answers
97/40 = 2 17/40
En decimals: 2.425
please help, thank you so much !!
Answers
Explanation:
180 - 14 = 166
3x + 4 = 166
3x = 162
x = 162/3 = 54
How is the solution set of the sentence below described?
x + 5 < 7
{all numbers less than }
{all numbers less than 2}
{all numbers less than 7}
{all numbers less than 12}
none of these
Answers
Answer:
{all numbers less than 2}
Step-by-step explanation:
x cannot be greater than 2, because it would go over 7
Answer:
{all numbers less than 2}
Step-by-step explanation:
x can only be 2 or lower to make the sentence true
Sara can travel 23 feet in 11 hours. please calculate Saras speed rate of speed
Answers
Answer: The answer would be 2.09 feet per hour
Step-by-step explanation:
Divide 23ft by 11 which gives us 2.09ft.
there for the answer is 2.09 feet.
to double check, multiply 2.09 by 11 which will give 22.99 which is close to 23 feet.
42.3952 to the nearest thousandths
Answers
Answer:
42.395
Step-by-step explanation:
Heelp ez question, just answer no steps needed
Answers
Answer:
i think 16 is the correct answer
Step-by-step explanation:
a
Reason abstractly. Can the product of a
decimal number less than I ever be greater than the whole
number? Give examples to support your answer.
find the product 4.2(6 + 0.43).
HELP PLEASE
Answers
The product of 4.2(6+0.43) is 27.006
find three consecutive even integers for which -4 times the sum of the first and third is 192
Answers
Answer:
-26-24-22Step-by-step explanation:
Let x be the smallest number (first)
Let (x + 2) be the second number (second)
Let (x + 4) be the greatest number (third)
Set equation according to the given information
-4 [x + (x + 4)] = 192
Simplify parentheses
-4 [x + x + 4] = 192
-4 [2x + 4] = 192
Expand bracket and apply the distributive property
(-4) · 2x + (-4) · 4 = 192
-8x - 16 = 192
Add 16 on both sides
-8x - 16 + 16 = 192 + 16
-8x = 208
Divide -8 on both sides
-8x / -8 = 208 / (-8)
[tex]\boxed{x=-26}[/tex]
Find the value of the second term
x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]
Find the value of the third term
x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the area of the following quadrilateral.
Answers
Answer: 480
Step-by-step explanation:
The quadrilateral ABCD is a trapezium
The formula for area of trapezium is
Area of trapezium = 1/2 × (parallel side 1 + parallel side 2) × h
So we can place the given values into the formula.
We get
Area = 1/2 × (9+15) × 40
Area = 1/2 × 24 × 40
By multiplying all of them we get
Area = 480cm
Pamella late for school 10% of time. Richard late for 15% of the time.
a) What percentage are they both late?
b) What is the probability only one of them is late?
Answers
Answer:
a) 25%
10%+15% = 25%
b) doesn't have any idea
Write a variable expression to represent the phrase. The difference of a number and 1
Answers
Answer:
[tex]x-1[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
The difference of a number and 1
⇒ [tex]x-1[/tex]
I hope this helps!
Help me outtttttttttt
Answers
Answer:
∠1 = 5 degrees
∠2 = 85 degrees
Step-by-step explanation:
if we add ∠1 and ∠2 that will be 90 degrees (as it is straight angle and its already given in the picture)
( x - 12) + 5x = 90
6x -12 = 90
6x = 90 + 12
6x = 102
x = 102/6
x = 17
Put 17 in both the angles instead of x
∠1 = ( x-12)
= ( 17 - 12)
= 5
∠2 = 5x
= 5 (17)
= 85
now you can even Cross-check
5 + 85
= 90 degrees
Cross-checked
Consider the function f(x) = tan 1/3 (x + pi/1) - 1
Help With All PleAsE
Answers
Answer:
8. ☐ A Up
☑ B Down 1
☑ C Left [tex]\displaystyle \frac{\pi}{2}[/tex]
☐ D Right
7. [tex]\displaystyle 3\pi[/tex]
6. ☑ A x = −2π
☐ B x = −π
☐ C x = [tex]\displaystyle \frac{\pi}{2}[/tex]
☑ D x = π
5. [tex]\displaystyle y = -1[/tex]
Explanation:
[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ \boxed{y = tan\:(\frac{1}{3}x + \frac{\pi}{6}) - 1} \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{6}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{\pi}{\frac{1}{3}} \\ Amplitude \hookrightarrow N/A[/tex]
Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Second, to find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, on a universal scale of [tex]\displaystyle \frac{\pi}{4}[/tex] with a range of [tex]\displaystyle -2\pi\:to\:2\pi,[/tex] the vertical asymptotes are [tex]\displaystyle -2\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{3\pi} = \pi + 2\pi.[/tex] So, the period of this function is [tex]\displaystyle 3\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -1.[/tex]
Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.
I am delighted to assist you at any time.
PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST
Answers
Answer:
OPTION A:0.85M+2.50.
Step-by-step explanation:
SEE IMAGE FOR SOLUTION
Solve for x.
6x + 2 = 14
x = 12
x = 2 2/3
x = 2
x = 1 3/4
Answers
Answer:
x=2
Step-by-step explanation:
6x + 2 = 14
Subtract 2 from each side
6x+2-2 = 14-2
6x= 12
Divide by 6
6x/6 = 12/6
x=2
Answer: x=2
Step-by-step explanation:
A person sent 213 copies of a junk mail via email. Each email consisted of 2 bytes of data. How many bytes of data were sent altogether? Express the answer in exponential notation.
Answers
Step-by-step explanation:
a person sent 213 copies of junk via email
each email consisted of 2 bytes
then 213×2=426
Pls help !!!
find the rate of change on [-1, 4]
Answers
Answer:
Step-by-step explanation:
Consumer Math
Which person uses the best cost saving strategy when deciding how to spend their money? A. Octavia bought the name-brand dish soap to be sure it was good quality. B. Jake paid the seller's full price for his used car to avoid someone else buying it. C. Tyrone waited for a sale so he could get a lower price on his new skateboard. D. Camilla bought her new computer immediately in case prices increased.
Answers
Answer:
I think c if not sorry
Step-by-step explanation:
C is the only one that makes sense
person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.
The correct option is (C).
What is strategy?
Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.
Considering the cost saving ,
Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.
Other just look on the quality, first buyer, took the item in increased price.
Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.
Learn more about strategy here:
https://brainly.com/question/20350382
#SPJ2
Factorize
the question given below
Answers
[tex] \frac{p^{4} }{ {q}^{4} } + \frac{ {p}^{2} }{ {q}^{2} } + 1 \\ \frac{ {p}^{4} + {p}^{2} {q}^{2} + {q}^{4} }{ {q}^{4} } \\ \\ \frac{( {p}^{2} + {q}^{2} +pq)( {p}^{2} + {q}^{2} - pq) }{ {q}^{4} } [/tex]
I hope I helped you^_^
For her new MP3 player, Alicia wants a case that is 3 and 2/5 in. long. The online store shows case sizes in decimal measurements. What length case should she order?
A. 3.2 in.
B. 3.25 in.
C. 3.4 in.
D. 3.45 in.
Answers
Answer:
C.
Step-by-step explanation:
.
Answer:
c) 3.4 in
Step-by-step explanation:
