Answer:
B
Step-by-step explanation:
Given equation is 4x+3y = 12
(3,0) is a solution because
LHS =
⇛ 4(3)+3(0)
⇛ 12+0
⇛ 12
⇛ RHS
LHS = RHS
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Which is a solution to the equation y=12-3x A.(4,3) C.(4,0) B.(-4,4) D.(0,4)....
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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
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
compute (-12)+(-8)+30
Answer:
10
Step-by-step explanation:
(-12) + (-8) +30
-(12+8)+30
-20 + 30
10
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?
:
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.
If the price of a stapler increase from Rs 50 to Rs 54, find the percentage increase?
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
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#SPJ1
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)
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
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
(a+b)2= c+d
answer
answer
Answer:
a+b=c+d/2
i cant understand what answer you want
What is the discriminat of 2x+5x^=1
Answer:
don't know...........
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)
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:
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
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.
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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
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!
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
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
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
Please tell me answer of 6 7 and 8
Answer:
6.angle m=180-60=120
7.angle y=180-(60+65)=55
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.
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)
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
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
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]
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
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
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
