Answer:
Step-by-step explanation:
To find the times that the height is 26 feet, we set the position equation equal to 26 and solve for t:
[tex]26=-16t^2+40t+4[/tex] and
[tex]0=-16t^2+40t-22[/tex] and factor that however you are factoring in class to solve a problem like this. When you do that you get
t = .86 seconds and t = 1.68 seconds. That means that .86 seconds after the ball is thrown into the air, it reaches a height of 26 feet; it goes up to its max height and then gravity takes over and pulls it back down. When this happens, it will pass 26 feet again on its way back down. This second time is after 1.68 seconds.
There are 11 green marbles and 12 orange marbles in a bag. You randomly
choose one of the marbles. What is the probability of choosing a green marble?
[tex]\\ \Large\sf\longmapsto 11+12[/tex]
[tex]\\ \Large\sf\longmapsto 23[/tex]
[tex]\boxed{\Large{\sf P(G)=\dfrac{No\:of\:green\:marbles}{Total\:marbles}}}[/tex]
[tex]\\ \Large\sf\longmapsto P(G)=\dfrac{11}{23}[/tex]
Answer:
11/23
Step-by-step explanation:
11 green marbles and 12 orange marbles = 23 marbles
P(green) = green marbles / total marbles
= 11/23
Which of the following equations is written in standard form?
A. 2+3x−6y=0
B. 4x−2y=0
C. −8x+4y=1
D. −3y+x−4=0
Answer:
Choice B.
[tex]4x - 2y = 0[/tex]
Step-by-step explanation:
Has integer coefficients and equal to 0.
:
The width of a rectangle is 5 cm more than triple its length. The perimeter of the
rectangle is 240 cm. What is the length and width of the rectangle?
9514 1404 393
Answer:
length: 28.75 cmwidth: 91.25 cmStep-by-step explanation:
Let L represent the length of the rectangle. Then the width is W=5+3L, and the perimeter is ...
P = 2(L+W)
240 = 2(L +(5 +3L))
120 = 5 +4L
115 = 4L
115/4 = L = 28.75 . . . . cm
W = 5+3L = 5 +3(28.75) = 91.25 . . . . cm
The length and width of the rectangle are 28.75 cm and 91.25 cm.
Matt invests £1800 for 2 years at a simple interest rate of 10%.
How much money will he get back in interest?
Answer:
Step-by-step explanation:
P = 1800
R = 10%
T = 2 years
I = PRT
= 1800 * 10/100 * 2
= 1800 * 0.1 * 2
I = £360
The amount that will be gotten back as interest will be £360
Principal = £1800
Rate = 10%
Time = 2 years
Simple Interest will be calculated as:
= (P × R × T) / 100
= (£1800 × 10 × 2)/100
= £36000/100
= £360
Therefore, the interest is £360.
Read related link on:
https://brainly.com/question/24355322
A car is traveling at a rate of 80 miles per hour. Assume that 1 mile is equal to 1.6km.
what is the rate:. km/h
distance traveled in 3 hours: km
I think that car travelled 128 km in one hour and 384km in 3 hours
Answer: 384 km
Step-by-step explanation:
Convert m/ph to k/ph by multiplying the equivalent of 1 mile in kilometers
(1m = about 1.6km) by the total number of miles.
80 x 1.6 = 128
You now have the distance traveled per hour in m/ph converted to k/ph.
All you do now is multiply it by the time traveled:
(128 kilometers per one hour for 3 hours)
128 kph x 3 = 384km
t 0 2 4 6 8 10
P(t) 0 36 43 47 52 60
Kunyu's family has an above ground swimming pool in the shape of a cylinder, with a radius of 10 feet and a height of 5 feet. The pool contains 1000 cubic feet of water at time t=0. During the time interval 0≤t≤10 hours, water is pumped into the pool at the rate () cubic feet per hour. The table above gives values of () for selected values of . During the same time interval, water is leaking from the pool at the rate of () cubic feet per hour, where ()=18−0.04.
(Note: The volume V of a cylinder with radius r and height h is given by =2ℎ .)
Find the rate at which the volume of water in the pool is increasing at time t=6 hours. How fast is the water level in the pool rising at t=6 hours? Indicate units of measure in both answers.
Answer:
a. 24.12 ft³/hr b. 0.0768 ft/hr
Step-by-step explanation:
a. Find the rate at which the volume of water in the pool is increasing at time t=6 hours.
The net rate of change of volume of the cylinder dV/dt = volume flow rate in - volume flow rate out
Since volume flow rate in = P(t) and volume flow rate out = R(t),
dV/dt = P(t) - R(t)
[tex]\frac{dV}{dt} = P(t) - 18e^{0.04t}[/tex]
We need to find the rate of change of volume when t = 6.
From the table when t = 6, P(6) = 47 ft³/hr
Also, substituting t = 6 into R(t), we have R(6)
[tex]\frac{dV}{dt} = P(t) - 18e^{0.04t}[/tex]
[tex]\frac{dV}{dt} = 47 - 18e^{0.04X6}\\\frac{dV}{dt} = 47 - 18e^{0.24}\\\frac{dV}{dt} = 47 - 18 X 1.27125\\\frac{dV}{dt} = 47 - 22.882\\\frac{dV}{dt} = 24.118 ft^{3}/hr[/tex]
dV/dt ≅ 24.12 ft³/hr
So, the rate at which the water level in the pool is increasing at t = 6 hours is 24.12 ft³/hr
b. How fast is the water level in the pool rising at t=6 hours?
Since the a rate at which the water level is rising is dV/dt and the volume of the cylinder is V = πr²h where r = radius of cylinder = 10 ft and h = height of cylinder = 5 feet
dV/dt = d(πr²h)/dt = πr²dh/dt since the radius is constant and dh/dt is the rate at which the water level is rising.
So, dV/dt = πr²dh/dt
dh/dt = dV/dt ÷ πr²
Since dV/dt = 24.12 ft³/hr and r = 10 ft,
Substituting the values of the variables into the equation, we have that
dh/dt = dV/dt ÷ πr²
dh/dt = 24.12 ft³/hr ÷ π(10 ft)²
dh/dt = 24.12 ft³/hr ÷ 100π ft²
dh/dt = 0.2412 ft³/hr ÷ π ft²
dh/dt = 0.2412 ft³/hr
dh/dt = 0.0768 ft/hr
So, the arate at which the water level is rising at t = 6 hours is 0.0768 ft/hr
Solve the equation below:
5x – 11 = 19
x = 4
x = 6
x = 4.4
x = 1.6
pls answer i need help today
Answer:
x=6
Step-by-step explanation:
5x - 11 = 19
5x = 30
x = 6
20characters
5x = 19+11 5x = 30 x = 30/5 x = 6
I need help asap with this question
In a trapezoid, the midline is the average of the two bases.
PW = (YZ + TM) / 2
29 = (23 + 11x + 2) / 2
58 = 23 + 11x + 2
58 = 25 + 11x
11x = 33
x = 3
Hope this helps!
Mary spent $4 more than 1/8 of her original amount of money on a bag. She then
Spent $12 more than 2/3 of her remaining money on groceries.Given that Mary had $24 left,how much did the bag cost?
Answer:
464 $
Step-by-step explanation:
2.
Translate the following word phrase into an algebraic expression: six times four less than three
times x
Answer:
6 × ( 3x - 4)
Step-by-step explanation:
Not much to explain.
Hope this helps!
If there is something wrong, please let me know
Find the area of Parallelogram ABCD given M< A=30° AB=10in AD=6in A=
Answer:
30 in²
Step-by-step explanation:
Parallelogram height is,
6/2 (since it's a 30°-60°-90° triangle)
= 3
Area = base × height
= 10×3 in²
= 30 in²
Answered by GAUTHMATH
(a+b)2= c+d
answer
answer
Answer:
a+b=c+d/2
i cant understand what answer you want
find the answer for 10 points
Answer:
52.8
Step-by-step explanation:
(3×2.6×2/2)+(3×5×3)
= 7.8+45
= 52.8
Answered by GAUTHMATH
In a plane, line e is parallel to line f, line f is parallel to line g, and line h is perpendicular to line e. Which of the following cannot be true? e ⊥ h g ∥ h e ∥ g h ⊥ f
Answer:
g ∥ h
Step-by-step explanation:
since lines e,f,g are parallel to each other,
h is perpendicular to lines e,f,g
Please tell me answer of 6 7 and 8
Answer:
6.angle m=180-60=120
7.angle y=180-(60+65)=55
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) F(x) = sin(x/2) , [π/2,3π/2]
Answer:
The numbers 3(pi)/2, 5(pi)/2 satisfy the conclusion of Rolle's Theorem
Step-by-step explanation:
1. The function must be continuous.
Trigonometric functions are continuous.
2. It must be true that f(a) = f(b) = 0
For this case sin(pi) = sin(3pi) = 0
3. Therefore by Rolle's Theorem, there exist a point, x, such that f(x) = 0
For this case f(x) = cos(x)
And cos(x) = 0 at x = 3(pi)/2,5(pi)/2
What is the y-intercept of the line that has a slope of `-4` and passes through the point (4, -6)`?
Answer:
(0, 10)
Step-by-step explanation:
Answer:
y = -4x + 10
Step-by-step explanation:
y = -4x + b
-6 = -4(4) + b
-6 = -16 + b
10 = b
2 1 /2 + 3 1 /3 + 1 5/6 =
Answer:
10 2/3 is ther answer simplified
Step-by-step explanation:
7 2/3
(Decimal: 7.666667)
A physical education class is running a mile. The teacher has set a goal of 12 minutes to complete the mile. Students
receive a score to show how close they are to the target of 12 minutes. For example, if students run the mile in 8
minutes, their scores will be 4. Complete the statements about the students' scores.
Anja ran the mile in Her score is -2.
Issac ran the mile in 13 minutes. His score is
Simon ran the mile in 12 minutes. His score is
Answer:
Isaac is 26
Simon is 24
if 8 is 4 I.e 8 divide by 4 is 2
therefore 1 minute is 2 scores
Isaac :13 x 2=26
(do the same to Simon to get his score)
you buy butter at 3 dollars a pound one portion requires 2oz of butter how much for one portion
Answer:
0.375 dollars
Step-by-step explanation:
1 pound = 16 oz
1 oz = 1/16 pound
2 oz = 2/16
2/16 * 3 = 0.375
State if the scenario involves a permutation or a combination. Then find the number of possibilities.
The batting order for nine players on a 12 person team.
Permutation/Combination:
Answer:
Step-by-step explanation:
combination
is answer of this question
Find x on this triangle
Answer:
I didn't find the answer in the options
the height of the bigger triangle is 11√6/√3 = 11√2
x = 11√2 × √2 = 11×2 = 22
Answered by GAUTHMATH
find an odd natural number x such that LCM (x,40)= 1400
The odd natural number x such that the LCM of x and 40 is 1400 is 35
Lowest Common MultipleThe least common multiple the lowest multiple of two or more numbers.
From the question, we need to determine the value of x of the LCM of the numbers is 1400
LCM (x,40) = 1400
Find a possible value of x
x = 1400/40
x = 35
Hence the odd natural number x such that the LCM of x and 40 is 1400 is 35
Learn more on LCM here: https://brainly.com/question/233244
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A postmix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of fluid ounces and the sample standard deviation is fluid ounces. Find a 95% two-sided confidence interval on the mean volume of syrup dispensed. Assume population is approximately normally distributed. Round your answers to 3 decimal places.
Answer:
(1.1155 ; 1.1245)
Step-by-step explanation:
Given that :
Sample mean, xbar = 1.12
Sample standard deviation, s = 0.011
Sample size, n = 25
Since we are using the sample standard deviation, we use the T distribution ;
The confidence interval is defined as :
C. I = Xbar ± Tcritical * s/√(n)
Degree of freedom, df = n - 1 = 24
Tcritical(0.05, 24) = 2.064
C. I = 1.12 ± (2.064 * 0.011 / √25)
C.I = 1.12 ± 0.0045408
Lower boundary = (1.12 - 0.0045408) = 1.1155
Upper boundary = (1.12 + 0.0045408) = 1.1245
(1.1155 ; 1.1245)
What is the discriminat of 2x+5x^=1
Answer:
don't know...........
10-[5-{6+2 (7-7-4)}]
Answer:
might be wrong too
Step-by-step explanation:
hope u like it
10-[5-{6+2(7-7-4)}]=10-[5-{6+2×(-4)}]=10-[5-2]=10-3=7
raphael made 2 pies and gave half of one pie to his grandmother. he wants to share the remaining pie with his neighbors so he cuts them into pieces that are each 3/8 of a pie. How many neighbors can have a slice of pie?
Find m∠F=....................
.................................
What would it equal??
m∠F= what is it???
Answer:
45°
Step-by-step explanation:
[tex] \sin \: m\angle F = \frac{EG}{FG} \\ \\ \sin \: m\angle F = \frac{2 \sqrt{11} }{2 \sqrt{22} } \\ \\ \sin \: m\angle F = \frac{\sqrt{11} }{ \sqrt{22} } \\ \\ \sin \: m\angle F = \frac{1}{ \sqrt{2} } \\ \\ \sin \: m\angle F = \sin \: 45 \degree \\ \\ \huge \boxed{ \purple{m\angle F = 45 \degree }}[/tex]
compute (-12)+(-8)+30
Answer:
10
Step-by-step explanation:
(-12) + (-8) +30
-(12+8)+30
-20 + 30
10
If the price of a stapler increase from Rs 50 to Rs 54, find the percentage increase?
