Answer:
The rate of change is 12ft/s
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 20t[/tex]
Required
Rate of change from when she jumps till 1/2s
The time she jumps is represented as: t = 0
So, calculate h(0)
[tex]h(t) = -16t^2 + 20t[/tex]
[tex]h(0) = -16 * 0^2 + 20 * 0 = 0[/tex]
At t = 1/2
[tex]h(t) = -16t^2 + 20t[/tex]
[tex]h(1/2) = -16 * 1/2^2 + 20 * 1/2 = 6[/tex]
Rate of change is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]
Where
[tex](a,b) = (0,1/2)[/tex]
So, we have:
[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]
[tex]Rate = \frac{h(1/2) - h(0)}{1/2 - 0}[/tex]
[tex]Rate = \frac{6 - 0}{1/2 - 0}[/tex]
[tex]Rate = \frac{6}{1/2}[/tex]
[tex]Rate =12[/tex]
The rate of change is 12ft/s
In the figure below, 7 ||
m. Find x.
Answer:
x+65°=120°[by alternate interior angle]
x=120°-65°
x=55°
Part A
The prefix inter: means "between," and the word part cept means "to take." Based on
this information, what does the word interceptor mean as it is used in the passage?
"The interceptors covertly eavesdropped on Germany's radio messages, sending
them along to the team at Bletchley." (paragraph 6)
one who broadcasts radio messages to bring down his enemy
one who cannot decide between two sides, as in a war or argument
one who seizes something on its way from one place to another
one who takes part in cracking codes by means of a hidden key
Answer: B - one who cannot decide between two sides, as in war or argument
Step-by-step explanation:
Determine the projection of u=1.6i+3.3j in the v=-2.1-.5j direction.
A.8i+.2j
B.2.3i+.5j
C. -.6i-1.3j
D. -1.2i-1.1j
Answer:
[tex]0.80i +0.2j[/tex]
Step-by-step explanation:
The projection of u on v is expressed as;
[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]
Given
u=1.6i+3.3j
v=-2.1i-.5j
u*v = (1.6i+3.3j )*(-2.1i-0.5j )
u*v = 1.6i(-2.1i) + 3.3j(-0.5j)
u*v = -3.36 - 1.65
u*v = -5.01
|v|² = (√(-2.1)²+(-0.5)²)²
|v|² = (-2.1)²+(-0.5)²
|v|² = 4.41+0.25
|v|² = 4.66
Substitute into the formula;
[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]
8 divided by 618 ..............
Answer:
0.0129449838188
Which of the following inequalities has the graphed solution below?
zzGroup of answer choices
x − 1 ≥ 0
x − 1 ≤ 0
x + 1 ≥ 0
x + 1 ≤ 0
plz help me please please
Answer:
5%
Step-by-step explanation:
Answer:
5% increase
Step-by-step explanation:
30/600 equals .05 or 5%
PLEASE HELP!!!!!
Taylor's computer randomly generate numbers
between 0 and 4, as represented by the given uniform
density curve.
What percentage of numbers randomly generated by
Taylor's computer are between 1.5 and 3.25?
O 0%
1.75%
Random Number Generated
by Computer
25%
O 43.75%
1
2
3
Random Number
Answer: D
Step-by-step explanation:
just got it correct.
What is equivalent to 8?
A:2^3
B:3^-2
C:2^-3
D:3^2
Answer: A:2^3
Step-by-step explanation:
8=2*2*2=(2)^3
A biologist has two brine solutions, one containing 7% salt and another containing 28% salt. How many milliliters of each solution should she mix to obtain 1 L of a solution that contains 19.6% salt?
Answer:
Each litters can be represented as; x and y respectively to the 7% and the 28%
x + y =1
7x + 28y =19.6
This a simultaneous equation and can either be solved by using elimination or substitution method
Using the substitution method
eqn1, x=1-y
putting into eqn2
7(1-y)+28y =19.6
7-7y+28y=19.6
21y=12.6
y=3/5
but x=1-y
so
x=1-3/5
x=2/5
Help pleaseeeeeeeeeeeeeeeeeee
hurry!!!! I need help
You call 5 friends, tomorrow they call 5 each. Write an equation.
Answer:
5+5=10
Step-by-step explanation:
5+5=10
hope this helps. plz mark me as brainliest.
HELPPP ME PLSSS AND NO BOTS BC I WILL REPORT AND I BARELY HAVE POINT SO PLS HELP ME
Answer: 52 1/2 inches. Draw a vertical line up from the 20 week marker and where that line intersects the slanted red line and. Then take a straight edge and draw a line parallel to the "week" line on the bottom of the graph from the intersection to intersect the height line. Where the second line crosses the height line that number is the height of the plant at 20 weeks.
Find the number of subsets in the set (x l x is a day of the week)
a. 124
b. 256
c. 127
d. 128
If you stacked the cubes on top of each other to make an enormous tower, how high would they reach?
Answer:
Is this an actual question
Write a similarity statement comparing the three triangles in the diagram
P R S Q
Answer:
The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)
Step-by-step explanation:
* Lets start with the equal angles i the three triangles
- In ΔJMK
∵ m∠JKM = 90°
∴ m∠KJM + m∠KMJ = 90 ⇒ (1)
- IN ΔMLK
∵ m∠MKL = 90°
∴ m∠KML + m∠KLM = 90° ⇒ (2)
∵ m∠KMJ + m∠KML = 90° ⇒ (3)
- From (1) , (2) , (3)
∴ m∠KJM = m∠KML
∴ m∠KMJ = m∠KLM
* Now lets check the condition of similarity in the 3 triangles
- At first ΔJMK and ΔMLK
- In triangles JMK , MLK
∵ m∠KJM = m∠KML
∵ m∠KMJ = m∠KLM
∵ m∠JKM = m∠MKL
∴ ΔJMK ≈ ΔMLK ⇒ (4)
- At second ΔJMK and ΔJLM
∵ m∠KJM = m∠MJL
∵ m∠KMJ = m∠MLJ
∵ m∠JKM = m∠JML
∴ ΔJMK ≈ ΔJLM ⇒ (5)
* If two triangles are similar to one triangle, then they are
similar to each other
- From (4) and(5)
∴ ΔJMK ≈ ΔMLK ≈ ΔJLM
Please help me solve these two questions
I hope the answer is helpful
the same ice cream shop is running a sale on cylindrical shaped tubs of ice cream. The cylinder has a radius of 4.5 cm and a height of 18 cm. Find the volume of a tub of ice cream
Answer:
you got this
Step-by-step explanation:
I believe in you
8 x 10 inch rectangle.Total area is 168 in^2. Calculate the width of the rectangle. Which of the following quadratic equations would be used when solving this?
A - 2x^2 + 18x = 88
B - 4x^2 + 36x = 88
C - 4x^2 + 18x = 88
D - 2x^2 + 36 = 88
PLEASE HELP I NEED HELP
what do you think???
Answer:
To entertain
Step-by-step explanation:
Because the dad made a joke to entertain, and the story is entertaining the readers.
Answer: entertain
Step-by-step explanation:
14. The diagonals of square ABCD intersect at E. If AE = 2, find the perimeter of ABCD.
Answer:
B, [tex]8\sqrt{2}[/tex]
Step-by-step explanation:
Diagonals of a square are congruent so AC= 4
using pythagorean theorem we can then do [tex]x^{2} +x^{2}[/tex]=[tex]4^{2}[/tex]
[tex]2x^{2} = 16\\x^{2} =8\\x=\sqrt{8} \\x=2\sqrt{2}[/tex]
Then for perimeter we times the [tex]2\sqrt{2}[/tex] by 4 and get
[tex]8\sqrt{2}[/tex]
Hope this helps and please mark brainliest!!
There’s 10 in total I need help with
Answer:
8√2
Step-by-step explanation:
this one is a right triangle so both side are equal since the angle is 45 degrees
What is equity? What does it mean to have positive equity? What does it mean to have negative equity?
4.
Find the area of the shaded region.
A. 5x2 + 16x – 21
B. 7x2 + 28x + 27
C. 5x2 + 28x + 27
D. 5x2 + 28x + 21
Answer:
yay
Step-by-step explanation:
yayyayyayyayyayyyayyayayayyayaya
Answer:
D. 5x2 + 28x + 21
Step-by-step explanation:
First you want to find the area of the white rectangle
Then find the area of the beings rectangle
Then subtract beings minus white.
Sorry it’s +21. The first answer in your list
then thats correct
...............................................................................................................................................
5x^2+28x+21 confirmed from Cortez himself
Brainlest for correct awnser :D
Answer:
24 inches
Step-by-step explanation:
Natalie made blueberry muffins for a bake sale. Each muffin cost her about $0.25 to make. She spent $8.75 to make all of the muffins. Natalie sold each muffin for $0.50 more than it cost her to make.
What is the total amount of money that Natalie received from selling her muffins?
Answer:
$17.5
Step-by-step explanation:
Answer:
26.25
Step-by-step explanation:
I took the test
If a pack of highlighter costs 2.40 what is the cost Per highlighter, in dollars and cent
From the information you gave me, I am going to guess it is a 4 pack of highlighters.
Answer: $0.60 per highlighter
Explanation: To find the unit rate of an item, take the price ($2.40) and divide it by the amount of the product included (4).
2. Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
O (x – 4)2 + (y – 7)2 = 144
O (x +4)2 + (y + 7)2 = 144
O (x – 4)2 + (y-7)2 = 36
O (x+4)2 + (y + 7)2 = 36
Answer:
The Answer is B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
СК - висота трикутника АВС. Знайдіть градусну міру кута А
Inglis please. Thank you.