Answer:
Hope it will help you :)
Step-by-step explanation:
What is the approximate volume of the whole sphere? Use pie=3.14 and round to the nearest whole cubic unit.
a. 42 cubic units
b. 126 cubic units
c. 4,187 cubic units
d. 73,385 cubic units
if you could awnser this as soon as possible that would be great :)
Answer:
c. 4187 cubic units
Step-by-step explanation:
V = 4/3 π r³
= 4/3(3.14)(10)³
= 4186.6666666
Simplify the following: a) [ -6 +22 – 6 + 8 ] ÷ ( -9 ) b) 400 ÷ { 40 – (-2) -3 – ( -1)} c) 40 x -23 + 40 x -17 d) 1673 x 99 – (-1673) e) 490 x 98
Step-by-step explanation:
a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )[ -6 +22 – 6 + 8 ] = 18
18 ÷ (-9) = -2
b) 400 ÷ { 40 – (-2) -3 – ( -1)}{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40
400 ÷ 40 = 10
c) 40 x -23 + 40 x -17(40 x 23) + (40 x -17)
920 + (-680)
= 240
d) 1673 x 99 – (-1673)(1673 x 99) + 1673
1673 x 100
= 167300
e) 490 x 98 = 48020Hope this helps ^-^
The amount of juice in a container is
normally distributed with a mean of
70 ounces and a standard deviation of
0.5 ounce. What is the probability that a
randomly selected container has more
than 70.5 ounces of juice?
Answer:
0.15866
Step-by-step explanation:
To solve for the above question, we use z score formula
z = (x - μ) / σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
x is the raw score = 70.5
μ is the population mean = 70
σ is the population standard deviation = 0.5
z = 70.5 - 70/ 0.5
z= 0.5/0.5
z = 1
We used the z score table to find the probability of z = 1
P( x = z) = P(x = 70.5)
= P( z = 1) = 0.84134
Hence, the probability that a randomly selected container has more than 70.5 ounces of juice is calculated as
P(x>70.5) = 1 - P(x =70.5)
P(x>70.5) = 1 - 0.84134 = 0.15866
Therefore, the probability that a randomly selected container has more than 70.5 ounces of juice is 0.15866.
Find the perimeter of this figure. (Image down below)
Answer:
The answer is
44 ftStep-by-step explanation:
The figure above is a rectangle
To find the perimeter of a rectangle we use the formula
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width of the rectangle
From the question
length = 14 ft
width = 8ft
Substituting the values into the above formula we have
Perimeter = 2(14) + 2(8)
= 28 + 16
We have the final answer as
Perimeter = 44 ftHope this helps you
The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.
Answer:
The area of the shaded part is 36.53 cm²
Step-by-step explanation:
The dimension of the side of the square ABCD = 8 cm
The shaded part is seen to be the area of intersection of two quarter circles
The dimension of the radius of the quarter circles = The side length of the square
Therefore;
The dimension of the radius of the quarter circles = 8 cm
The figure can be taken as being formed by the two quarter circles with a square removed
The shaded area is the
Therefore, the area of the shaded part Sₐ, is given by the relation;
Sₐ = Area of first quarter circle + Area of second quarter circle - Area of the square
Given that the dimensions (radius) of the two quarter circles are the same, we have;
Area of first quarter circle = Area of second quarter circle = (π × 8²)/4 cm²
Area of the square = (Side length of the square)² = 8² = 64 cm²
Sₐ = (π × 8^2)/4 + (π × 8^2)/4 - 64 = 36.53 cm²
The area of the shaded part = 36.53 cm².
10 points :) Graph this for me :P
Answer:
-2≤x≤2 f(x)=[x+3]
first the sign is ≤ it means the point is solid point and the interval is x+3
PLEASE help me with this question!!! REALLY URGENT!
Answer:
B
Step-by-step explanation:
So we have a table of values of a used car over time. At year 0, the car is worth $20,000. By the end of year 8, the car is only worth $3400.
We can see that this is exponential decay since each subsequent year the car depreciates by a different value.
To find the rate of change the car depreciates, we simply need to find the value of the exponential decay. To do this (and for the most accurate results) we can use the last term (8, 3400).
First, we already determined that the original value (year 0 value) of the car is 20,000. Therefore, we can say:
[tex]f(t)=20000(r)^t[/tex]
Where t is the time in years and r is the rate (what we're trying to figure out).
Now, to solve for r, use to point (8, 3400). Plug in 8 for t and 3400 for f(t):
[tex]3400=20000(r)^8\\3400/20000=17/100=r^8\\r=\sqrt[8]{17/100}\approx0.8[/tex]
In other words, the rate of change modeled by the function is 0.8.
As expected, this is exponential decay. The 0.8 tells us that the car depreciates by 20% per year.
divide the sum of -5,-10 and -9 by the product of 2 and -3
Answer: 1/4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
=(-5)+(-10)+(-9)/2*(-3)
=-5-10-9/-6
=-24/-6
=4 ans.....
what is the sum of the interior angles of a regular hexagon
Answer:
see below
Step-by-step explanation:
The sum of the interior angles of any polygon can be found with the formula 180(n - 2) where n = number of sides. In this case, n = 6 so the answer is 180(6 - 2) = 180 * 4 = 720°.
Answer:
The sum of the interior angles of a regular hexagon is 720°
Step-by-step explanation:
As we know that the sum of interior angle is 180(n-2). So the number of sides of hexagon is 6. Now, 180(6-2)=180*4=720°
PLEASE help me with this question! No nonsense answers please. This is really urgent.
Answer:
32
Step-by-step explanation:
This is because you would want the feet and the radium kinda meeting up in a way and would need to make sure you can fill it in with th e drive way as it will be on a horizontal base so you would need X2 of the driveway to make it into a standing up horizontal base
Hope this helps
If this seems incorrect please comment with the answer that it should be and I shall change my answer thanks you :)
have two one-quart jars; the first is filled with water, and the second is empty. I pour half of the water in the first jar into the second, then a third of the water in the second jar into the first, then a fourth of the water in the first jar into the second, then a fifth of the water in the second jar into the first, and so on. How much water in quarts is in the first jar after the $10^{\textrm{th}}$ pour? Express your answer as a common fraction.
Answer:
water in quarts is in the first jar after 10th pour = 12/11
Step-by-step explanation:
Let X represent first jar and Y represents second jar.
have two one-quart jars; the first is filled with water, and the second is emptyLets give the initial value of 2 to the first jar which is filled with water. Lets say there are two liters of water in first jar.
Lets give the initial value of 0 to the second as it is empty.
So before any pour, the values are:
X: 2
Y: 0
pour half of the water in the first jar into the secondAfter first pour the value of jar X becomes:
Previously it was 2.
Now half of water is taken i.e. half of 2
2 - 1 = 1
So X = 1
The value of jar Y becomes:
The half from jar X is added to second jar Y which was 0:
After first pour the value of jar Y becomes:
0 + 1 = 1
Y = 1
a third of the water in the second jar into the firstAfter second pour the value of jar X becomes:
Previously it was 1.
Now third of the water in second jar Y is added to jar X
1 + 1/3
= (3 + 1)/3
= 4/3
X = 4/3
After second pour the value of jar Y becomes:
Previously it was 1.
Now third of the water in Y jar is taken and added to jar X so,
1 - 1/3
= (3 - 1)/3
= 2/3
Y = 2/3
a fourth of the water in the first jar into the secondAfter third pour the value of jar X becomes:
Previously it was 4/3.
Now fourth of the water in the first jar X is taken and is added to jar Y
= 3/4 * (4/3)
= 1
X = 1
After third pour the value of jar Y becomes:
Previously it was 2/3
Now fourth of the water in the second jar X is added to jar Y
= 2/3 + 1/4*(4/3)
= 2/3 + 4/12
= 1
Y = 1
a fifth of the water in the second jar into the firstAfter fourth pour the value of jar X becomes:
Previously it was 1
Now fifth of the water in second jar Y is added to jar X
= 1 + 1/5*(1)
= 1 + 1/5
= (5+1) / 5
= 6/5
X = 6/5
After fourth pour the value of jar Y becomes:
Previously it was 1.
Now fifth of the water in Y jar is taken and added to jar X so,
= 1 - 1/5
= (5 - 1) / 5
= 4/5
Y = 4/5
a sixth of the water in the first jar into the secondAfter fifth pour the value of jar X becomes:
Previously it was 6/5
Now sixth of the water in the first jar X is taken and is added to jar Y
5/6 * (6/5)
= 1
X = 1
After fifth pour the value of jar Y becomes:
Previously it was 4/5
Now sixth of the water in the first jar X is taken and is added to jar Y
= 4/5 + 1/6 (6/5)
= 4/5 + 1/5
= (4+1) /5
= 5/5
= 1
Y = 1
a seventh of the water in the second jar into the firstAfter sixth pour the value of jar X becomes:
Previously it was 1
Now seventh of the water in second jar Y is added to jar X
= 1 + 1/7*(1)
= 1 + 1/7
= (7+1) / 7
= 8/7
X = 8/7
After sixth pour the value of jar Y becomes:
Previously it was 1.
Now seventh of the water in Y jar is taken and added to jar X so,
= 1 - 1/7
= (7-1) / 7
= 6/7
Y = 6/7
a eighth of the water in the first jar into the secondAfter seventh pour the value of jar X becomes:
Previously it was 8/7
Now eighth of the water in the first jar X is taken and is added to jar Y
7/8* (8/7)
= 1
X = 1
After seventh pour the value of jar Y becomes:
Previously it was 6/7
Now eighth of the water in the first jar X is taken and is added to jar Y
= 6/7 + 1/8 (8/7)
= 6/7 + 1/7
= 7/7
= 1
Y = 1
a ninth of the water in the second jar into the firstAfter eighth pour the value of jar X becomes:
Previously it was 1
Now ninth of the water in second jar Y is added to jar X
= 1 + 1/9*(1)
= 1 + 1/9
= (9+1) / 9
= 10/9
X = 10/9
After eighth pour the value of jar Y becomes:
Previously it was 1.
Now ninth of the water in Y jar is taken and added to jar X so,
= 1 - 1/9
= (9-1) / 9
= 8/9
Y = 8/9
a tenth of the water in the first jar into the secondAfter ninth pour the value of jar X becomes:
Previously it was 10/9
Now tenth of the water in the first jar X is taken and is added to jar Y
9/10* (10/9)
= 1
X = 1
After ninth pour the value of jar Y becomes:
Previously it was 8/9
Now tenth of the water in the first jar X is taken and is added to jar Y
= 8/9 + 1/10 (10/9)
= 8/9 + 1/9
= 9/9
= 1
Y = 1
a eleventh of the water in the second jar into the firstAfter tenth pour the value of jar X becomes:
Previously it was 1
Now eleventh of the water in second jar Y is added to jar X
= 1 + 1/11*(1)
= 1 + 1/11
= (11 + 1) / 11
= 12/11
X = 12/11
After tenth pour the value of jar Y becomes:
Previously it was 1.
Now eleventh of the water in Y jar is taken and added to jar X so,
= 1 - 1/11
= (11-1) / 11
= 10/11
Y = 10/11
Answer:
6/11
Step-by-step explanation:
1/2 + (1/2)(2/11) = 6/11
sus
3m-2-5n+p terms and coefficients
Answer: Answers are in the steps.
Step-by-step explanation:
The coefficients are 3, -5, and 1
The terms are, 3m, -2,-5n and p
For the function f(x) = -12x + 7, find the
matching value for x when f(x) = 17. Write
your answer as a fraction.
Answer:
[tex]\large\boxed{x=-\frac{5}{6}}[/tex]
Step-by-step explanation:
f(x) is the same value as y. Therefore, y = 17. We can place this into slope intercept form (except with a defined value for y) and solve for x.
Start by subtracting 7 from both sides. Then, divide by -12 to solve for x. Finally, simplify the fraction.
17 = -12x + 7
10 = -12x
-10/12 = x
-5/6 = x
[tex]\large\boxed{x=-\frac{5}{6}}[/tex]
2 pts Question 1 Write an expression to model the phrase: Myles has $635 and is earning $120 each week as a lifeguard. (Use x as your variable) 2 pts Wuestion 2
Answer:
The equation is y= 120x+ 635Step-by-step explanation:
Hey there!!!,
in this problem we are expected to present an equation for the given scenario, and a way out is to model it after the equation of line
i.e y= mx+c
From the problem statement we can see that the constant amount Myles have is $635, and also earnings of $120 weekly.
Comparing the statement withe equation of line we have
y= 120x+ 635
as "x" is the number of weeks worked and $635 is the constant amount at hand.
Should you need further clarification on this, let me know
a farmer has 40 4/5 of beans 3/4 of the beans are pinto beans how many pounds of pinto bean are there
Answer: Amount of pinto beaks [tex]=30\dfrac{3}{5}\text{ pounds}[/tex]
Step-by-step explanation:
Given: Amount of beans a farmer has = [tex]40\dfrac{4}{5}\text{ pounds}=\dfrac{40\times5+4}{5}\text{ pounds}[/tex]
[tex]=\dfrac{204}{5}\text{ pounds}[/tex]
Also, [tex]\dfrac{3}{4}[/tex] of the beans are pinto beans .
Amount of pinto beaks = [tex]\dfrac 34\times[/tex] (Amount of beans a farmer has)
= [tex]\dfrac34\times\dfrac{204}{5}=\dfrac{153}{5}\text{ pounds}[/tex]
[tex]=30\dfrac{3}{5}\text{ pounds}[/tex]
Amount of pinto beaks [tex]=30\dfrac{3}{5}\text{ pounds}[/tex]
solve for x 4(x+2)=48
Answer: 10
Step-by-step explanation:
4(x+2)=48
4x+8=48
4x=40
x=10
Answer:
x=10
Step-by-step explanation:
4(x+2)=48
Divide each side by 4
4/4(x+2)=48/4
x+2 = 12
Subtract 2 from each side
x+2-2= 12-2
x = 10
Please please please please help
Answer:
m = 9
Step-by-step explanation:
8/12 = 6/m
8m = 72
m = 9
Which is 5.348 closer to, 5.3 or 5.4?
Answer:
5.3
Step-by-step explanation:
It is less than halfway
Answer:
5.3
Step-by-step explanation:
Which of these relations are functions?
х
O
-2 6 2 -6
-5 21 15-15
y
11
y
4
2
O
x
4
-2
4
o
{(-5,-7), (-2,-7), (7,17), (-5,21)}
y
For each value of y, the number of value of x must be one. Then the correct options is D.
The complete question is attached below.
What is relation function?The relation function is given as, for every independent value, there is a dependent value.
Let the function be y = f(x).
For each value of x, the number of value of y may one or two.
But for each value of y, the number of value of x must be one.
Then the correct options is D.
More about the relation function link is given below.
https://brainly.com/question/2253924
#SPJ1
Can someone help!!! And explain please
Answer:
400(π+2) feet square
Step-by-step explanation:
let x be the diagonal of the cage=40√2 at the same time it is the radius of the circle ( the tiger can go in circle)
but since the cage is part of the circle and not full turn πr²/8
area of the circleπr²+ half area square
(π(40√2)²)/8 +40²/2
3200π/8+1600/2
400π+800
400(π+2) feet square
A fish jumps out of the water at a speed of 12 feet per second. The height y (in feet) of the fish above the surface of the water is represented by the equation y=-16x^2+12x, where x is the time (in seconds) since the jump began. The fish reaches its highest point above the surface of the water after 0.375 seconds. How far above the surface is the fish at this time?
Answer:
The fish is 2.25 ft above the surface at 0.375 seconds
Step-by-step explanation:
Given:
y=-16x^2+12x
x=0.375 seconds
Substitute x=0.375 into the equation
y=-16x^2+12x
= -16(0.375)^2 +12(0.375
= -16(0.140625) + 4.5
= -2.25 + 4.5
= 2.25
y=2.25 ft
The fish is 2.25 ft above the surface at 0.375 seconds
A line passes through point (5, –3) and is perpendicular to the equation y = x. What's the equation of the line?
Answer:
y = -x +2
Step-by-step explanation:
y =x has a slope of 1
Perpendicular lines have slopes that multiply to -1
m* 1 = -1
The slope of the perpendicular line is -1
We have a slope and a point
y = mx+b
y= -1x+b
Substitute the point into the equation
-3 = -1(5) +b
-3 =-5 +b
Add 5 to each side
-3+5 = b
2 =b
y = -x +2
4.
Aliyah, Brenda and Candy share a sum of money in the ratio of 3:5:6. After
Candy gives $100 to Aliyah and $50 to Brenda, the ratio becomes 2 : 3:3.
(a) Suppose Aliyah has $3x at the start, express Candy's initial sum of money in
terms of x.
(b) Find the value of x.
(c) Hence, how much money does Brenda have in the end?
Answer:
(a) Candy's initial sum as a terms of x is $6x
(b) x = $60
(c) $350
Step-by-step explanation:
The given parameters are;
The ratio in which Aliyah, Brenda and Candy share the sum of money = 3:5:6
The amount Candy later gives Aliyah = $100
The amount Candy later gives Brenda = $50
The new ratio of the sum of the shared money between Aliyah, Brenda and Candy = 2:3:3
(a) Whereby Aliyah has $3x at the start, we have;
Total sum of mony = Y
Amount of Aliyah's initial share = Y × 3/(3 + 5 + 6) = Y×3/14
Therefore, Y×3/14 = $3x
x = Y×3/14 ÷ 3 = Y/14
Amount of Candy's initial share = Y × 6/14
Therefore Candy's initial sum as a terms of x = $6x
(b) Given that Aliyah's and Candy's initial sum as a function of x are $3x and $6x, therefore, in the ratio 3:5:6, Brenda's initial sum as a function of x = $5x
Which gives;
Total amount of money = $14x
With
6x - 150, 3x + 100, and 5x + 50, the ratio =is 2:3:3
Therefore, we have;
14·x × 2/(2 + 3 + 3) = (6·x - 150)
14·x × 2/(8) = (6·x - 150)
14·x × 1/4 = (6·x - 150)
7·x/2 = (6·x - 150)
12·x - 300 = 7·x
12·x - 7·x = 300
5·x = 300
x = $60
(b) The final amount of money with Brenda = 5x + 50 = 5 × 60 + 50 = $350
The final amount of money with Brenda = $350.
A.) Pinky bought 1. 1/2 kg of apples and 5. 1/4 kg of mangoes 1. 1/2 kg of oranges. Find the total weight of fruits B.) if her family eats 3/4 kg of apples and 2. 1/2 kg of mangoes and 1/2 kg of oranges. Find the weight of fruits left (Please say the answer with explanation who says the answer first I will mark them as the brainliest)
Answer:
A. Total weight of the fruits is 2.25 kg
B. There are no more fruits left.
Step-by-step explanation:
A.
To get the total weight of the fruits, we will first of all have to sort out the fruits and multiply the weight of the fruits by the number available.
Weight of apples:
we have one 1apple weighing 1/2 kg. The weight will be 1 |X 1/2 = 1/2 kg
Weight of mangoes:
We have five mangoes weighing 1/4 kg. Total weight will be 5 X 1/4 = 5/4 kg
Weight of oranges:
We have one orange weighing 1/2 kg. Total weight will be 1X 1/2 = 1/2 kg
Total weight of the fruits will be total weight of Mangoes + oranges + apples
= 1/2 + 5/4 + 1/2 = 2.25kg
B.
If her family begins to eat off some portions of the fruits, we will have to calculate the sum total of all the weights of fruits eaten
The portion eaten will be 3/4 + (2 X 1/2) + 1/2 = 2.25kg
If this happens the family would have eaten all of the fruits because
the original weight present is only 2.25kg of fruits to start with
Un cultivo de bacterias crece y se duplica cada dos horas .¿Cu`antas veces mas grande sera el numero de bacterias en 12 horas?El numero inicial es X. Expresa usando potencias ayuda profis es para hoy ; )
Responder:
64 visitas
Explicación paso a paso:
Dado lo siguiente:
Número inicial de bacterias = x
Tasa de crecimiento = se duplica cada dos horas
¿Cuántas veces mayor será la cantidad de bacterias en 12 horas?
La cantidad de veces (n) en las que la cantidad de bacterias se duplica:
n = 12 horas / período de tasa de crecimiento
n = 12/2 = 6
Eso significa que el crecimiento de bacterias se duplicará 6 veces en 12 horas.
Por lo tanto, la cantidad de bacterias después de 12 horas será:
Después del 1er período = x * 2 = 2x
2do período = 2 ^ 2 * x = 4x
Después de n período
= 2 ^ n * x
Después de 6 períodos:
2 ^ 6 * x = 64x
Número de veces que las bacterias serán mayores en 12 horas:
Inicial = final
x = 64x
Comparando ambos
Las bacterias serán 64 veces más grandes después de 12 horas.
last one hopefullly hahah
you are correct. all angles (except central) are not equal (iff TU and CB are not parallel)
the triangles are not similar
Answer:
it's A
They don't give you enough information to determine if they are similar or not
PLS HELP I WILL GIVE BRAINLIST AND A THANK YOU!!!!!!!! Pls help me :)
Answer:
67°
Step-by-step explanation:
CGE + AGC + AGG = 180 (angles on a straight line)
23°+90°+x=180°
x=67°
Helpppp pleaseeeeee!!!
Answer: yes.
Step-by-step explanation:
Answer: Yes
The roll of the dice is a random process that Jon has no control over (this is assuming the dice is fair of course). Whoever is selected first is not selected again, so the probability for the second selection will increase as there is a smaller pool of people to pick from.
solve for x and y plz 12x - 5y = -20 x + 4 = y
Answer:
(0,4)
Step-by-step explanation:
System of Equations:
[tex]\left \{ {{12x-5y=-20} \atop {x+4=y}} \right.[/tex]
x= y-4 .... Change format so you can substitute to first equation
12(y-4)-5y=-20 .... Plug in x= y-4 to first equation
12y - 48 -5y = -20 ..... Distributed
7y -48 =-20 .... Added like terms
7y=28 .... Added 48 to both sides
y=4
.... Plug y into the second equation to find x
x + 4=y
x +4 = 4 .... Plugged in y
x = 4-4 .... Subtracted 4 from both sides
x=0
Your answer is (0,4)
Hope this helps:)
A delivery truck company just bought a new delivery truck and they need to know the maximum volume it can carry. In the front of the truck, there is an extra ledge that sticks out over the driver's cab for extra storage space. What is the maximum amount of cargo that can fit into the new truck?
Answer:
The answer is below
Step-by-step explanation:
To find the maximum amount of cargo the truck can carry, we need to find the volume of the truck.
Volume = length × width × height.
Firstly 1 feet (1') = 12 inches (12"),
For the extra ledge that sticks out, the height = 7'8" = 7.667 feet, the width = 16'9" - 14'3" = 16.75 - 14.25 = 2.5 feet, the length = 2'7" = 2.583 feet
Volume of extra ledge = length × width × height = 2.583 × 2.5 × 7.667 = 49.5 feet³
For the truck, the height = 7'8" = 7.667 feet, the length = 14'3" = 14.25 feet, the width = 6'6" = 6.5 feet
Volume of truck = length × width × height = 14.25 × 6.5 × 7.667 = 710.16 feet³
The maximum volume = volume of extra ledge + volume of truck = 49.5 + 710.16 = 759.66 feet³