Answer:
838.08 in³
Step-by-step explanation:
volume of tank = (36×24×24)+(½×3.14×12²×24)
= 20,736 + 5,425.92
= 26,161.92 in³
the remaining water = 27,000 - 26,161.92
= 838.08 in³
find area of a rectangle that measures 18yd by 14yd
Answer:
32.
Step-by-step explanation:
laura lleno su pecera hasta la mitad 40 cm 60 cm 20 cm cuanto espacio ocupa la pecera
Which function has a maximum that is greater than the maximum of the graph g(x)?
O y = (x + 3)2 + 2
y=-5 (x+3)2 + 4
O y=- } (x - 2)2 +3
O
y = (x - 2)2 + 4
Sorry if the image is blurry! Please help!
Answer:
A. 244.93 ft sq
Step-by-step explanation: radius= 7 pi= 3.14 area for triangle= 168 area for semi-circle = 76.93.
how i got it:
area of semicircle 7 x 7 =49 49 x 3.14 = 153.86 153.86 divded by 2 = 76.93
area of triangle: 14 x 24 = 336 336 divded by 2 = 168 168 + 76.93 = 244.93
PLS ASAP will give brainlist!!!!
Answer:
288 cubic feet
Step-by-step explanation:
6x6= 36 that is for one base now multiply by 8 and get 288
a muffin machine bakes 24 muffins in 8 minutes. at this rate, how many muffins can it make in 1 minutes?
Answer:
It can make 3 muffins in 1 minute.
Step-by-step explanation:
Divide 24 with 8, and you get 3.
how many solutions does this have? 7x = 7x – 5
Answer:
no solutions
Step-by-step explanation:
What you wanna do is get all you X's to one side so 7x-7x to move it if you see both sides are 7x so it all cancels out to 0 so that leaves 0=-5 which is not true so that mean there is no solution
You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by h(t)=-16t^2+6t+12
When do you hit the water?
What is your maximum height?
Answer:
When do you hit the water?
1.075 seconds after you jump.
What is your maximum height?
the maximum height is 12.5626 ft
Step-by-step explanation:
The equation:
h(t) = -16*t^2 + 6*t + 12
Is the height as a function of time.
We know that the initial height is the height when t = 0s
h(0s) = 12
and we know that the diving board is 12 foot tall.
Then the zero in h(t)
h(t) = 0
Represents the surface of the water.
When do you hit the water?
Here we just need to find the value of t such that:
h(t) = 0 = -16*t^2 + 6*t + 12
Using the Bhaskara's formula, we get:
[tex]t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}[/tex]
Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)
The positive solution is:
t = (-6 - 28.4)/-32 = 1.075
So you hit the water 1.075 seconds after you jump.
What is your maximum height?
The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.
We know that the vertex of a general quadratic:
a*x^2 + b*x + c
is at
x = -b/2a
Then in the case of our equation:
h(t) = -16*t^2 + 6*t + 12
The vertex is at:
t = -6/(2*-16) = 6/32 = 0.1875
Evaluating the height equation in that time will give us the maximum height, which is:
h(0.1875) = -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626
And the height is in feet, then the maximum height is 12.5626 ft
You hit the water 1.075 seconds after you jump.
The maximum height is 12.56.
Given that,
You are jumping off the 12-foot diving board at the municipal pool.
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
[tex]\rm h(t)=-16t^2+6t+12[/tex]
We have to determine,
When do you hit the water?
What is your maximum height?
According to the question,
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
[tex]\rm h(t)=-16t^2+6t+12[/tex]
1. The initial height is the height when t = 0 second,
[tex]\\\rm h(t)=-16t^2+6t+12\\\\\rm h(0)=-16(0)^2+6(0)+12\\\\ h(0) = 12[/tex]
And the diving board is 12 feet tall.
Then the zero in h(t)
h(t) = 0
When h(t) = 0 represent the surface of the water,
[tex]\rm h(t)=-16t^2+6t+12\\\\\rm -16t^2+6t+12 =0\\\\8t^2-3t-6=0\\\\x = \dfrac{-(-3)\pm \sqrt{(-3)^2-4\times8\times(-6)}}{2\times 8}}\\\\x = \dfrac{3\pm \sqrt{9+192}}{16}}\\\\x = \dfrac{3\pm \sqrt{201}}{16}}\\\\x = \dfrac{3\pm 14.77}{16}}\\\\ x = \dfrac{3+14.77}{16} \ and \ x = \dfrac{3-14.77}{16} \\\\x = \dfrac{17.77}{16} \ and \ x = \dfrac{-11.77}{16} \ \\\\ x = 1.075 \ and \ x = -0.855[/tex]
The value of x can not be negative then the value of x is 1.075.
Therefore, you hit the water 1.075 seconds after you jump.
2. The maximum height is reached by you, you first derivative the function h(t) with respect to t:
[tex]\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2+6t+12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2)}{dt} +\dfrac{d(6t)}{dt}+\dfrac{d(12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = 2\times (-16t) + 6\times 1+0\\\\ \dfrac{dh(t)}{dt} = -32t+6\\\\[/tex]
To find the maximum height the value first derivative is equal to zero.
[tex]\rm \dfrac{dh(t)}{dt} = 0\\\\-32t+6=0\\\\-32t=-6\\\\t = \dfrac{6}{32}\\\\t = \dfrac{3}{16}\\[/tex]
Substitute the value of t in the equation to find the maximum height,
[tex]\rm h(\dfrac{3}{16})=-16(\dfrac{3}{16})^2+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-(\dfrac{9}{16})+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-\dfrac{-9}{16}+\dfrac{18}{16}+12\\\\ h(\dfrac{3}{16})= \dfrac{-9+18+192}{16} \\\\ h(\dfrac{3}{16}) = \dfrac{201}{16}\\\\h(\dfrac{3}{16}) = 12.56[/tex]
Hence, The maximum height is 12.56.
For more details refer to the link given below.
https://brainly.com/question/20120328
You start at (9, 9). You move left 6 units, Where do you end?
Answer:
(3,9)
Step-by-step explanation:
9-6 = 3
Last month , Luke and Stefen sold candy to raise money for their debate team . Stefen sold 1/5 as much candy as Luke did . If Luke sold 3/4 of a box of candy, how many boxes of candy did Stefan sell?
Answer:
3/20
Step-by-step explanation:
stefan sell 1/5 × 3/4 = 3/20 boxes of candy
et f(x)=2\ln(x+4)f(x)=2ln(x+4)f, left parenthesis, x, right parenthesis, equals, 2, natural log, left parenthesis, x, plus, 4, right parenthesis and let g(x)=\dfrac23x+1g(x)= 3 2 x+1g, left parenthesis, x, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 1. The graph of y=f(x)y=f(x)y, equals, f, left parenthesis, x, right parenthesis is shown below. Use the interactive graph to sketch a graph of y=g(x)y=g(x)y, equals, g, left parenthesis, x, right parenthesis. LinearAbsolute_valueQuadraticExponentialLogarithm Let x_1x 1 x, start subscript, 1, end subscript and x_2x 2 x, start subscript, 2, end subscript be solutions of \,2\ln(x+4)=\dfrac23x+12ln(x+4)= 3 2 x+12, natural log, left parenthesis, x, plus, 4, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 1, where x_1
Answer:
x=-3.5 , the points of the graph are 0,1 and 3,3
Step-by-step explanation:
Marcia walked 900 meters on Friday. On Saturday, she walked 4 kilometers, On Sunday, she walked 3 kilometers,600 meters. How many kilometers did Marcia walk over all three days? Pls help!
Answer:8.5km
Step-by-step explanation:
what's the subject formula?
Answer:
r = √A/4π
Step-by-step explanation:
[tex]A=4\pi r^2\\\frac{A}{4\pi }=r^2\\\sqrt{\frac{A}{4\pi } }=r[/tex]
Answer:
r = √(A/4π)
Step-by-step explanation:
A = 4πr^2
Divide both sides by 4π
r^2 = A/4π
Take square root of both sides.
r = √(A/4π)
We take the positive square root only as r must be positive.
A population of 350 animals that increases at an annual rate of 6%.
Write an exponential function to model the situation. Calculate the value
of the function after 12 years (to the nearest whole number).
Answer:
y=350(1.06)^x and 704
Step-by-step explanation:
Exponantial Function is y=ab^x. I plugged in 12 into x
5 4/10= 5 ?/5
find the missing number
Answer:
5 2/5
Step-by-step explanation:
4/10 - /5. 10 is divided by 2 to get to 5. 4 should also be divided by 2 which gets you 2. This is why your answer should be 5 2/5.
What is the measure of x?
Answer:
Hello! answer: x = 68
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees 90 - 22 = 68 therefore x = 68 HOPE THAT HELPS!
Assume a 14-inch pizza can be purchased as a whole pizza, a half pie, or one of 8 slices. Determine
the
area of each of those options. Explain how you found the 8 slice amount
Answer:
The diameter of the pizza = 14 in
Radius of the pizza = (14/2)in = 7in
Area of a whole pizza =
πr^2
=( 22/7 × 7^2)in^2
=( 22/7 × 49)in^2
154 in^2
Area of a half pie =( 1/2 × 154)in^2 = 77in^2
Area of one of 8 slices = (1/8 × 154)in^2 = 19.25in^2
Hope it helps
Ezgi's mom took Ezgi and her five friends to the circus for her birthday party. Her mom got a $12.50 ticket
and the same snack for each child from the concession stand. She paid $105 for all of the tickets and
snacks.
Which equations represent this situation, where s represents the cost of one snack in dollars?
Select all that apply.
Answer:
5*(s+12) = $105
Step-by-step explanation:
5 snacks + 5 tickets makes the total 105 so the equation
5*(s+12) = $105 is the answer to the question.
Mr. Tolin purchased a used car for $2,816, which was 12% off the asking price. What was the asking price of the used car?
Answer:
Original price= $3,200
Step-by-step explanation:
Giving the following information:
Purchase price= $2,816
Discount rate= 12% = 0.12
To calculate the original price, we need to use the following formula:
Original price= purchase price / (1 - discount rate)
Original price= 2,816 / 0.88
Original price= $3,200
12.50x = 15 What is the value of x? What is the percent increase?
Answer:
x = 1.2
Step-by-step explanation:
12.50x = 15
12.50/12.50 x = 15/12.50
x = 1.2
(Sorry i dont understand what you mean by percent increase)
Find the scale factor of Figure A to Figure B
How many 5 digit license plate can be made using only the digits 2,3,4,5,6,7,8,9 if an odd digit must go first and second and repetitions are not allowed?
Answer:
1,440
Step-by-step explanation:
if first two digits must be odd, then there are 4x3 or 12 combinations for that
if the next three digits can be even or odd but not repeats then there can be 6 (two odds remaining plus four evens) x 5 x 4 = 120
120 x 12 = 1,440
A rectangular ink pad is 10 centimeters tall and 15 centimeters wide.
What is its area?
Answer:
15000000000000000000000000000000000000000000
Step-by-step explanation:
Answer:
150 centimeters
Step-by-step explanation:
just multiply!
hope this helps :)
for brainiest:):):):):):):)
Answer:
1. 16%
2. 58%
Step-by-step explanation:
Give the most specific name for the quadrilateral. Explain your reasoning.
Answer:
Kite because it has two pairs of opposite sides and opposite angles that are equal .
(a) Construct, using a compass and straightedge, the midpoint of UV and label it M. Then
draw TM, the median from 2T to side UV.
(b) Prove algebraically that the median TM is not perpendicular to UV. Explain.
Please helpppppp
Step-by-step explanation:
a) for the first part, you take your compass and stretch it more than halfway on to line UV. Place the fixed point at V and draw a curve. make sure you keep your compass the same size, put the fixed part of your compass on point U and draw a curve again. both curves should go both upward and downward. Now, your curves should meet at two points. use your straight edge to draw the line that meets at both points. I have drawn an example of what it should approximately look like. for the second part you are simply using your straight edge to draw a line from T down to the median M you previously found. I have drawn a second picture to show you.
b) now to check if they are perpendicular, we must find the slope of each line. I will not be able to do this accurately since I didn't use an exact method to find M, so you must follow my steps.
Step 1: find the slope of UV. To do so, we must take two points from the line. I will take points U and V because they are easiest to see. To find the slope, we can use the equation:
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
where m is the slope.
so, let's define our points.
Point V is (4,4), let's call this point one.
Point U is (14,6), let's call this point two.
So,
x1= 4
y1= 4
and
x2= 14
y2= 6
now, we can plug these into our slope equation.
[tex]m = \frac{6 - 4}{14 - 4} = \frac{2}{10} = \frac{1}{5} [/tex]
You must then use the points T and M in order to solve the second slope. Where T is (2,12). I will keep M as (x1, y1) for now.
The equation should then look like:
[tex]m = \frac{2 - y1}{12 - x1} [/tex]
now, in order for it to be perpendicular to our original slope, it must be the opposite reciprocal, which is the number flipped and made negative. The opposite reciprocal of 1/5 will be -5.
It should NOT be, as we have been told. So, we can state:
"I know that TM is not perpendicular to UV because the UV has a slope of 1/5 and TM has a slope of x, which is NOT the opposite reciprocal on 1/5."
Hope this helps! :)
help pleaaseeeeeeeee..
Answer:
Step-by-step explanation:
Rectangle 4 sides, 4 right angles, and opposite Parallel sides
Rhombus 4 sides, all sides equal length, and 4 acute angles.
I am 100% positive this answer is correct plz mark as brainliest
The NYC bus costs $2.50 per ride. They also sell a bus pass that is $15 and then only $1.00 per ride. How many rides would it take for the costs to be the same?
Answer: 6 times
Step-by-step explanation: 2.50 divided by 15 is 6.
A lunch menu consists of 2 sandwiches and 3 drinks.How many possible meals with a sandwich and a drink can you order?
Answer:
6
Step-by-step explanation:
2x3 is 6
that is how i do it anyways
this is because every sandwich can get 3 drinks
so
2x3
Answer: 6 meals
Step-by-step explanation:
2 sandwiches
3 drinks
sandwich = s
drink = d
s1 + d1
s1 + d2
s1 + d3
s2 + d1
s2 + d2
s2 + d3
6 combos
hii please help i’ll give brainliest