Answer:
3.98 seconds
Step-by-step explanation:
The given relationship between height, in feet, and the time, in seconds, is
[tex]h(t)=-10t^2+40[/tex]
[tex]\Rightarrow t^2=\frac{40-h(t)}{10}[/tex]
[tex]\Rightarrow t= \pm\sqrt{4-0.1h(t)}\cdots(i)[/tex]
Let at time [tex]t_1[/tex], the ball was at the goalie, so, [tex]h(t_1)=0[/tex], and at the time [tex]t_2[/tex], the ball was intercepted, so, [tex]h(t_2)=11[/tex].
Now, the time to reach the player after the goalie kicks the ball
[tex]\Delta t=t_2-t_1[/tex]
By using equation (i)
[tex]\Delta t=(\pm\sqrt{4-0.1h(t_2)})-\left(\pm\sqrt{4-0.1h(t_1)}\right)\cdots(ii)[/tex]
Now, at the highest point, the slope of the graph must be zero.
So, [tex]\frac {dh(t)}{dt}=0[/tex]
[tex]\Rightarrow -20t=0[/tex]
[tex]\Rightarrow t=0[/tex]
As at the highest point, the time is zero, to before reaching the highest point ( when kikes by the goalie, [tex]t_1[/tex]) take the time with the negative sign and after the highest point (when the ball intercepted, [tex]t_2[/tex]) take the positive sign.
So, from equation (ii) become.
[tex]\Delta t=\sqrt{4-0.1\times 11}-\left(-\sqrt{4-0.1\times 0} \right)[/tex]
[tex]=\sqrt{3.9}-(-\sqrt 4)[/tex]
[tex]=1.98+2[/tex]
= 3.98 seconds
Hence, the time to reach the ball to the player after the goalie kicks the ball is 3.98 seconds.
-16 - (-30) = ?
please help me, i cant figure it out
Answer: 14
Step-by-step explanation:
1. Add the two negative sign together to make a plus:
-16 + 30
2. Do the math
-16 + 30 = 14
Answer:
-14
Step-by-step explanation:
All you need to do is subtract the 2 numbers without the negitv then when your done add the negitve
the circle shows the radius of 12mm what is the circumference
Answer:
24π or about 75.4 mm
Step-by-step explanation:
The circumference of a circle is denoted by C = 2πr, where r is the radius.
Here, we see that r = 12, so plugging this in:
C = 2πr
C = 2π * 12 = 24π ≈ 75.4 mm
The answer is thus 24π or about 75.4 mm.
~ an aesthetics lover
Answer:
about 75.36
Step-by-step explanation:
The circumference formula is C=pi times the diameter and the diameter is 24 because it is twice the diameter so 24 times pi.
Of the American Indian cultures that lived in Georgia, the Woodland Indians were the FIRST to A.Adopt a primarily nomadic lifestyle. B.Acquire much of the food they needed through farming. C.Construct homes using animal skins. D.Encounter and develop trade relationships with Europeans.
Answer:
Acquire much of the food they needed through farming.
Step-by-step explanation:
The term woodland Indians was one that was created around the year 1932, to describe a certain culture that was quite different from the nomadic Archaic Indians that moved around the North American continental areas.
The woodland cultures were known for the cultivation of beans, squash and corn (maize). They were also involved with the creation of unique pottery styles and the building of burial mounds.
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
85% of 19 = 16.15
Step-by-step explanation:
In rhombus JKLM, if m
The length of a rectangle is given by 6t + 5 and its height is √t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time.
A'(t) =???
MARK AS BRAINLIST
Step-by-step explanation:
L = 6t+5
H = √t
A = L*H
= (6t+5) *√t = 6t√t + 5√t
A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t
= 6t/2√t + 6√t + 5/2√t
Expression for the rate of change of the area with respect to time will be,
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second
It's given in the question,
Length of a rectangle is given by the expression(6t + 5) cm
Width or height of the rectangle is given by the expression,[tex]\sqrt{t}[/tex] cm
Area of the rectangle is given by,
Area = Length × Height
A = (6t + 5)(√t)
A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]
Now find the derivative of area (A) with respect to time (t).
[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]
A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]
Therefore, expression for the rate of change of the area will be,
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]
Learn more,
https://brainly.com/question/12596049?
In the late nineteenth century, the scientist Marie Curie performed experiments that led to the discovery of radioactive substances. A radioactive substance is a substance that gives off radiation as it decays. Scientists describe the rate at which a radioactive substance decays as its half-life. The half-life of a substance is the amount of time it takes for one-half of the substance to decay. Radium has a half-life of 1600 years. How much radium will be left from a 1000-gram sample after 1600 years?
Answer:
Step-by-step explanation:
Half life is the time taken by a radioactive substance to reduce of half of its original size
If the half life of radium is 1600, this means that the original radioactive substance N0 have reduced to N0/2 after 1600 years
if we are given N0 = 1000grams
The amount of the substance that will remain after 1600 years will be N0/2 i.e 1000/2 = 500g
Hence 500 grams of radium will be left after 600years
Find the inverse of f(x) = 3x + 7
Answer:
g(x)=(x-7)/3
Step-by-step explanation:
Answer:
The answer would be [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse
Step-by-step explanation:
Triangle LMN is similar to triangly XYZ. What is the length of YX?
Answer:
The same length as XY
Step-by-step explanation:
If they are similar, they are basically the same ;)!
Hope this helped!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
four more than the product of 22 and a number
Answer:
22(x)+4
Step-by-step explanation:
This shows that whatever 22*x is it will be 4 greater
The folding chair has different settings that change the angles formed by its parts. Suppose m∠2 is 31 and m∠3 is 65. Find m∠1. The diagram is not to scale.
Answer:
m∠2=31
m∠3=65
m∠1=?
Notice that measure of angle 2,3 and the angle that's next to angle 1 will form a triangle. Let's name the angle next to 1 to be x.
31+65+x = 180
96+x = 180
x = 180-96
x = 84
Now, you can easily find the m∠1.
84+m∠1 = 180 (REASON: Linear pair)
m∠1 = 180-84
m∠1 = 96
Pls Help me. I will mark brainlist.
Answer:
The second answer
Step-by-step explanation:
Because if you subtract a negative from an equation you get positive (two negatives make a positive)
Can someone please help this is math? ill give BRAINLIEST
Answer:
27
Step-by-step explanation:
To solve this problem, let us follow it step by step;
Let Peter's number = P;
So;
⇒ P - 17
⇒ -2 (P - 17 )
⇒ -2 (P - 17 ) = -20
Solve the problem for P;
-2 (P - 17 ) = -20
-2P + 34 = -20
-2P = -20 -34
-2P = -54
P = 27
Answer:
Answer:
27
Step-by-step explanation:
To solve this problem, let us follow it step by step;
Let Peter's number = P;
So;
⇒ P - 17
⇒ -2 (P - 17 )
⇒ -2 (P - 17 ) = -20
Solve the problem for P;
-2 (P - 17 ) = -20
-2P + 34 = -20
-2P = -20 -34
-2P = -54
P = 27
Step-by-step explanation:
Insect is crawling in a straight line at a speed of 12cm/s how far will the insect travel in 35 seconds
Answer:
420cm
Step-by-step explanation:
speedxtime=distance
12x35=420
Answer:
Distance = 420cm/s
Step-by-step explanation:
We have been given that Insect is crawling in a straight line at a speed of 12cm/s.
We have the following outcomes from the question.
Speed of insect = 12cm/sSo, We need to find the distance which can be reached out by insect in next 35 Seconds.
We are familiar with distance formula which is given by , Distance = Speed × Time
Distance = Speed × Time
Or, Distance = 12cm/s × 35
Or, Distance = 420 cm/s
Therefore, Insect is crawling in a straight line at a speed of 12cm/s, 420cm/s will the insect travel in 35 seconds.
Moretti's Ristorante & Pizzeria has two different soda sizes, Regular and Large. The Regular size soda is 22 ounces and the Large soda is 64 ounces. By what percent does the amount of soda increase between the different soda sizes? Round to the nearest percent
Answer:
280
Step-by-step explanation:
Given that:
The two different sizes of soda are:
Regular = 22 ounce
Large = 62 ounce.
The objective is to determine by what percent does the amount of the soda increase between the different soda size.
i.e. The ratio of the larger size in respect to the regular size:
So,
62/22 = 2.82
Thus in percent, the amount of the soda increase between the different soda size = 2.82 × 100%
= 282 percent
To the nearest percent, it is = 280
I promise u your gonna have a bright future if u help me with this ! and I'll brainlist
11. A) x = 0
y = 2x + 5
=> y = 2 * 0 + 5
=> y = 0 + 5 = 5
=> y = 5 (First blank)
x = 1
y = 2x + 5
=> y = 2 * 1 + 5
=> y = 2 + 5 = 7
=> y = 7 (Second blank)
x = 2
y = 2x + 5
=> y = 2 * 2 + 5
=> y = 4 + 5
=> y = 9 (Third blank)
x = 3
y = 2x + 5
=> y = 2 * 3 + 5
=> y = 6 + 5
=> y = 11 (Fourth blank)
x = 4
=> y = 2x + 5
=> y = 2 * 4 + 5
=> y = 8 + 5
=> y = 13 (Fifth blank)
11. B) x = 0
=> y =
=> y = 3 * 0 * 0 + 1
=> y = 0 + 1
=> y = 1 (First blank)
x = 1
=> y =
=> y = 3 * 1 * 1 + 1
=> y = 3 + 1
=> y = 4 (Second blank)
x = 2
=> y =
=> y = 3 * 2 * 2 + 1
=> y = 12 + 1
=> y = 13 (Third blank)
x = 3
=> y =
=> y = 3 * 3 * 3 + 1
=> y = 27 + 1
=> y = 28 (Fourth blank)
x = 4
=> y =
=> y = 3 * 4 * 4 + 1
=> y = 48 + 1
=> y = 49 (Fifth blank)
For more info, here's a picture,
If my answer helped, kindly mark me as the Brainliest!!
Thank You!!
Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool .What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool? *
I'll give brainliest if you just tell me multiply, divide, subtract, or add.
Answer: subtract
Step-by-step explanation:
Answer:
I think subtract
Step-by-step explanation:
subtract
bbs.
Which statement best compares the two jobs?
O Job A has a lower salary than job B, but the benefits
make job A a more attractive pay package.
O Job B has a lower salary than job A, but the benefits
make job B a more attractive pay package.
O Job A has a higher salary than job B plus benefits that
make job A a more attractive pay package.
O Job B has a higher salary than job A plus benefits that
make job B a more attractive pay package.
Answer:
B - Job B has a lower salary than job A, but the benefits
make job B a more attractive pay package.
Step-by-step explanation:
Answer: B
Step-by-step explanation:
quadrilateral ADCD Is the image of quadrilateral ABCD UNDER TRANSLATION
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Answer:
ABCD-AEFG
Step-by-step explanation:
Help me I need it giving brainiest
Answer:
120
Step-by-step explanation:
there are three sides, they have to equal 360 degrees so 360/3 = 120, you got it right.
Solve for x and show the steps
Answer:
Step-by-step explanation:
All you need do is divide by m and you have the answer.
x*m/m = np/m
x = np/m
NASCAR driver Jimmy Johnson completed 200 laps as he crossed the finish line. From the start of the race to the finish line, is a description of his _________________.
A. displacement
B. speed
C. velocity
D. Distance
Answer:
B!!
Step-by-step explanation:
think its B im not sure
can yall help me plz
Answer:
lol girl i have this one too and im trying to do cuz no one cam to help me so im going to try and then i will see if i help you
Step-by-step explanation:
Answer:
just add thos and then put then to geter and you get 3x+1^2
Step-by-step explanation:
What is the price of one cookie?
Answer:
$3 for one cookie
Step-by-step explanation:
Divide 18 by 6
Which ordered pair is in the solution set of 2x - 5y ≥ 10?
a.(-2,1)
b.(-5,-2)
c.(0,5)
d.(6,0)
(3,5)
Step-by-step explanation:
Answer:
5,0
Step-by-step explanation:
Use the website Desmos to help u in this question
need help!! 40 points !!
The triangles shown below must be congruent.
Answer:
The question asks if they must be congruent, so the answer is false
Step-by-step explanation:
All the angles are equal
47 = 47
62=62
71=71
The side between the 62 and 71 equals 7 on the left, we are not given the side between the 62 and the 71 on the right so we do not know if the triangles are congruent. We need to have one of the sides be equal for the triangles to be congruent.
The question asks if they must be congruent, so the answer is false
Answer:
FALSE
Step-by-step explanation:
ap3x
what is the siope of a line that passes through the points (2, 3) and (4.-12)?
Answer:
-7.5
Step-by-step explanation:
A restaurant charged Ms. Smith $120 for dinner,
while at dinner she met with a friend and they had a
great conversation about the 25 animals at the zoo.
When dinner was over she left a 15% tip. How much
was the tip amount?
can someone help me plz:)
Answer:
when i did the math i got o.28
Step-by-step explanation:
LOOK AT THE IMAGE ABOVE AND SOLVE IT FOR TWO DIFFERENT WAYS!! Please help its due today!
Answer:
Step-by-step explanation:
Ist method - Area of the triangle + Area of the trapezium
Area of triangle = 1/2 × b × h
here, b = 8 cm but h is not given
so we will find h by pythagoras theorem
AC^2 = AB^2 + BC^2
10^2 = 8^2 + BC^2
100 = 64 + BC^2
BC^2 = 36
BC = √36
BC = 6
∴ h = 6cm
area of triangle = 1/2 × b × h
= 1/2 × 8 × 6
= 24 cm^2
Area of trapezium = 1/2 ( a + b ) h
Here a = 13cm
b = 25 - 8 = 17 cm
h = 6 cm
So area = 1/2 ( a + b ) h
= 1/2 ( 13 + 17 ) 6
= 90 cm^2
So total area = Area of the triangle + Area of the trapezium
= 24 cm^2 + 90 cm^2 = 114 cm^2
2nd method - Area of the entire figure
Since the figure is a trapezium,
Area of trapezium = 1/2 ( a + b ) h
here, a = 13cm
b = 25 cm
h = 6 cm
Area of trapezium = 1/2 ( a + b ) h
= 1/2 ( 13 + 25 ) 6
= 114 cm^2
Hope this helps
plz mark as brainliest!!!!!!!!!!
answer:
not a very clear diagram sorry luv but i just cant really see the question <3
step-by-step explanation: