It will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet option third is correct.
What is the equation of motion?It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.
We have:
The height of the Sharon from the diving board = 18 feet
The initial upward velocity of the Sharon = 4 ft/s
The height of the Megan from the ground = 5 feet
The initial upward velocity of the beach ball = 16 ft/s
We know the equation of motion is given by:
[tex]\rm h(t) = x + ut+\frac{1}{2} gt^2[/tex]
Put x = 18 feet and u = 4 ft/s in the above equation, we get:
[tex]\rm h(t) = 18 + 4t+\frac{1}{2} \times9.8t^2[/tex] ....(1) [g = 9.8 m/s²]
Put x = 5 feet and u = 16 ft/s in the equation of motion, we get:
[tex]\rm h(t) = 5 + 16t+\frac{1}{2} \times9.8t^2[/tex] ....(2)
Equate the equation (1) and equation (2), we get
[tex]\rm 18 + 4t+\frac{1}{2} \times9.8t^2= 5 + 16t+\frac{1}{2} \times9.8t^2\\[/tex]
18 + 4t = 5 + 16t
12t = 13
t = 1.08 seconds
Thus, it will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet.
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help ill give you brainlest
12, 46, 32, 18, 26, 41, 46
Mean :
Mode :
Median :
Range :
Answer:
Mean : 31.6
Mode : 46
Median : 32
Range: 34
Step-by-step explanation:
Answer: Mean 31.57 Mode 46 Median 32
Range34
Step-by-step explanation: Mean is average. Add all the numbers and divide by 7
Mode is highest occurring
Median is middle number
Range is highest- lowest 46 - 34
Five students, adriana, ben, chandra, diana, and ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair. What is the theoretical probability that chandra will be chosen as one of the science fair participants?.
The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
What is theoretical probability?Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.
Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.
Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.
The total number of names are 5.The total number of names chosen are 4.The total number of ways 4 names can be taken out from 5 names is,
[tex]^5C_4[/tex].
Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.
Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is
[tex]^4C_3[/tex].
The theoretical probability that Chandra will be chosen as one of the science fair participants is,
[tex]P=\dfrac{^4C3}{^5C4}\\P=\dfrac{4}{5}\\P=0.8\\P=80\%[/tex]
Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
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[tex]\color {white}\boxed{\colorbox{black} { QUESTION♡}} [/tex]
A hemispherical bowl of internal diameter 30 cm contains liquid liquid is to be filled into a cylindrical shape bottles each of diameter 5 cm and height 6 cm find the number of bottles necessary to empty. the bowl ??
✦no spam
✦proper solving
✦diagram if necessary
plss help !!
60 bottles required.
calculate the volume of both shapesFor hemispherical bowl:
[tex]\sf volume: \dfrac{2}{3} \pi r^3[/tex] [diameter: 30 cm, radius: 15 cm]
[tex]\rightarrow \sf volume: \dfrac{2}{3} \pi (15)^3[/tex]
[tex]\rightarrow \sf volume: 2250\pi \ cm^3[/tex]
For each cylindrical bottles:
[tex]\sf volume: \pi r^2h[/tex] ["r" is 2.5 cm, "h" is 6 cm]
[tex]\rightarrow \sf volume: \pi (2.5)^2(6)[/tex]
[tex]\rightarrow \sf volume: 37.5 \pi \ cm^3[/tex]
So number of required bottles:
volume of hemisphere/volume of each cylindrical bottle2250π/37.5π60 bottlesPlease tell me what the answer is
Question:
Please tell me what the answer is
Answer:
The people with the membership take seven classes
The people without the membership take five classes
Step-by-step explanation:
As it says in the picture:
"A local gym has two different fees for their yoga classes. Members of the gym are charged a one-time membership fee of $25 and pay $5 per yoga class. Nonmembers do not pay a membership fee, but they pay $7 per class. How many yoga classes do nonmembers and members have to attend for their cost to be the same?"
First, what you would do is look for your key words in the sentence. What you'd take from the sentence is everything that I highlighted.
If the membership fee is $25 and yoga classes are $5 and nonmembers cost for yoga classes is $7 then you have your problem right there.
Next, what you would look for is your Greatest common divisor. (GCD) The GCD of 5 and 7 is 5 of course. So now what you would do is find out how many times 5 and 7 goes into five.
7 x 5 = 35
5 x 5 = 25
Now what you do is ask yourself the question, "How many times does the nonmembers and members have to go to class to have the same amount of money spent?"
Now I will answer this question for you.
five dollars for members.
seven dollars for nonmembers.
Your answer is: 7 x 5 (30)
I NEED AN ANSWER FAST
2. If x = -8, which inequality is true?
A. -3x - 2 = 24
B. 12 + 2x > 9
C. 4x -19 318
D. 17 + x>10
Answer:
[C] 4x - 19 < 318
Step-by-step explanation:
For [C] I think you meant: [C] 4x - 19 < 318
Since, x = -8
then we can plug it in to each answer choice to find the answer:
[A] -3x - 2 = 24
⇒ -3(-8) - 2 = 24
-3(-8) = 24
24 -2 = 22 not 24
False.
[B] 12 + 2x > 9
⇒ 12 + 2(-8) > 9
12 -16 > 9
-4 > 9
False.
[C] 4x -19 < 318
⇒ 4(-8) -19= 318
-51 < 318
True.
[D] 17 + x>10
⇒ 17 + (-8) >10
-25 > 10
False.
Hence, the answer is [C] 4x - 19 < 318
Kavinsky
lara draws some triangle models with the measurements she wants to use to construct them.
Answer:
Ok, but what is the question or data?
find the distance between (0,6) and (0,8)
Answer:
2 units.
Step-by-step explanation:
8 - 6 = 2 units.
There is no need to use the distance formula as both points are on the y-axis. Its just a simple subtraction.
[tex] \huge \mathfrak \red{hey \: there}[/tex]
[tex]\mathfrak \orange{answer}[/tex]
[tex] \mathfrak \orange{ explanation}[/tex]
Here,Given,[tex] x_1[/tex] = 0 [tex] x_2[/tex] = 0
[tex] y_1[/tex] = 6 [tex] y_2[/tex] = 8
[tex] \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } // \sqrt{ {(0 - 0)}^{2} + {(8 - 6)}^{2} } //[tex] \sqrt{ {(0)}^{2} + {(2)}^{2} } // [tex] \sqrt{ {(0 + 4} [/tex]
To win a basketball game, one team scored 102 points. They made a total of 45 two-pointers and three-pointers. How many of the baskets were worth 2 points, and how many were 3 pointers?
A (1,3 ) and B (2,7)
help me
The answer of this question is √17 units
Find f (-8) and f (6) for the given function.
f (-x) = (x -1)
To find f(-8) and f(6), all that we need to do is plug in each of the numbers for x.
f(-8) = -8 - 1 = -9
f(-8) = -9
f(6) = 6 - 1 = 5
f(6) = 5
Hope this helps!
If f(-x) = x - 1, then f(x) = - x - 1. So
f(-8) = 8 - 1 = 7
and
f(6) = - 6 - 1 = -7
Sarah wants to buy her friend balloons for her birthday. foil balloons cost $3 each and plain balloons cost $1.50 each. She has $30 to spend. if she buys a total of 15 balloons, how man plain balloons can she buy?
Answer:
10 if the other it is 20
Step-by-step explanation:
she can get 10 foil balloons that cost $3 becasue 30 / 3 = 10 out of 30 if she usees all the money on foil balloons
she can get 20 plain balloons cost that cost $1.50 because 30 / 1.50 = 20 if she usees all the money on plain balloons
Can someone please help me? :(
Answer:
____________________________________
[tex] \large{ \tt{ \star \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]
[tex] \large{ \boxed{ \tt{♡ \: VOLUME \: = l \: \times b \: \times h}}}[/tex]
[tex] \longrightarrow \: 4 \frac{1}{3} \times 3 \frac{1}{3} \times 4[/tex]
[tex] \longrightarrow \: \frac{13}{3} \times \frac{10}{3} \times 4[/tex]
[tex] \longrightarrow \: \frac{540}{9} [/tex]
[tex] \longrightarrow \tt \: 57 \frac{7}{9} \: ft ^{3} [/tex]
Our final answer is 57 7 / 9 ft^3 .- HappY LearninG ^_________^
Answer: 57 7/9 is the answer
Step-by-step explanation: 4 times 4 1/3 times 3 1/3 is 57 7/9
A rectangular garden measures 28 ft by 40 ft. Surrounding (and bordering) the garden is a path 4 ft wide. Find the area of this path
288 ft
first off you will want to find the area of the garden, which is 1120 ft squared, we’ll come back to this
Since the path is 4 ft wide and surrounding the garden, its area is 28+4 by 40+4, minus the area of the garden.
32*44 = 1408 - 1120 = 288 ft
you may or may not need to write it as feet squared
HELP ME PLS I"M VERY CONFUISED AND I REALLY NEED HELP!!!!
Chris takes a math test where each correct answer scores 3 points, but each incorrect answer takes away 3 points. If there are 10 questions on the test, and Chris misses all of them, which equation would be used to calculate Chris' test score?
3 × (-10)
-3 × 10
3 × 10
Answer:
-3 x 10
Step-by-step explanation:
Because there are 10 questions, all wrong taking away 3 points
a cylindrical tank has a volume of 100 gallons. a similar tank next to it has dimensions that are 2 times as large. what is the volume of the larger tank?
The volume of the cylindrical tank is the amount of space in it
The volume of the larger tank is 800 gallons
How to determine the volume of the larger tank?The volume of the small tank is given as:
v = 100
The volume of a cylinder is:
v = πr²h
For the bigger tank, we have:
V = πR²H
The dimensions are twice the smaller tank. This gives
V = π(2r)² * (2h)
Expand
V = 8πr²h
Substitute v = πr²h in V = 8πr²h
V = 8v
Substitute v = 100 in V = 8v
V = 8 * 100
V = 800
Hence, the volume of the larger tank is 800 gallons
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HELP!! PLEASE!!!!!
Solve the equation by taking square roots
2-8n^2=-198
The best answer gets Brainiest!!
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
n=5, -5
Answer:
[tex]n=\frac{3i\sqrt{22}-2}{-8}[/tex]
Step-by-step explanation:
[tex](2-8n)^2=-198[/tex]
[tex]\sqrt{(2-8n)^2} =\sqrt{-198}[/tex]
[tex]2-8n=i\sqrt{198}[/tex]
[tex]2-8n=3i\sqrt{22}[/tex]
[tex]-8n=3i\sqrt{22} -2[/tex]
[tex]n=\frac{3i\sqrt{22}-2}{-8}[/tex]
I hope this helps!
PLEASE ANSWER
I REALLY APPRECIATE IT
THANKS :)
Sand is deposited into a pile with a circular base. The volume V of the pile is given by V - r^3/3. Where r is the radius of the base, in feet. The circumference of the base is increasing at a constant rate of 5. Fect per hour. When the circumference of the base is 8x feet, what is the rate of change of the volume of the pile, in cubic feet per hour?
The rate of the change of the volume of the pile, in cubic feet per hour, when the circumference of the base is 8x feet, for this case, is 40x²/π³ cubic ft/ hour.
How to calculate the instantaneous rate of change of a function?Suppose that a function is defined as;
[tex]y = f(x)[/tex]
Then, suppose that we want to know the instantaneous rate of the change of the function with respect to the change in x, then its instantaneous rate is given as:
[tex]\dfrac{dy}{dx} = \dfrac{d(f(x))}{dx}[/tex]
What is chain rule of differentiation?If a variable z depends on the variable y, which itself depends on the variable x, then we have:
[tex]\dfrac{dz}{dx} = \dfrac{dz}{dy} \times \dfrac{dy}{dx}[/tex]
(assuming all these derivatives exist).
For this case, we're given that:
[tex]V = \dfrac{r^3}{3}[/tex] (in cubic ft)
Assuming the cross section being circular, expressing radius 'r' in terms of circumference, we get:
[tex]C = 2\pi r\\\\r = \dfrac{C}{2\pi}\\\\V = r^3/3\\\\V = \dfrac{C^3}{24\pi^2} \: \rm ft^3[/tex]
It is given that rate of change of circumference with respect to time is 5.
Thus, symbolically, we get:
[tex]\dfrac{dC}{dt} = 5[/tex]
Finding rate of change of volume with respect to time:
[tex]\dfrac{dV}{dt} = \dfrac{d\left (\dfrac{C^3}{24\pi^2}\right) }{dC} \times \dfrac{dC}{dt} = \dfrac{3C^2}{24\pi^3} \dfrac{dC}{dt} = \dfrac{5C^2}{8\pi ^3} \: \rm ft^3/hour[/tex]
(using chain rule of differenciation).
At C = 8x ft, we get:
[tex]\dfrac{dV}{dt} = \dfrac{5C^2}{8\pi ^3} \: \text{ft}^3\text{/hour}\\\\\dfrac{dV}{dt} |_{C = 8x} = \dfrac{5(8x)^2}{8 \pi^3} = \dfrac{40x^2}{\pi^3} \: \rm ft^3/hour[/tex]
Thus, the rate of the change of the volume of the pile, in cubic feet per hour, when the circumference of the base is 8x feet, for this case, is 40x²/π³ cubic ft/ hour.
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If a = -3, determine the value of 4a + 5+ 8a.
HELP PLEASE
Step-by-step explanation:
I4(-3)+5| +8(-3)
|-12+5| -24
7-24 = -17
2 mi = ? Yd
3 mi = ? Ft
2dt 3in = ? In
Answer:
2. 3520 yds
3. 15840 ft
8. 27 in
Step-by-step explanation:
2. There are 1760 yards in a mile. Since we're looking for the number of yards in 2 miles, we just have to multiply this number by 2.
2 · 1760 = 3520 yds
5. There are 5280 feet in a mile. Since we're looking for the number of feet in 3 miles, we just have to multiply this number by 3.
3 · 5280 = 15840 ft
8. There are 12 inches in a foot. This means that 2 feet equals 24 inches [2 · 12 = 24]. Since we have to find the number of inches in 2 feet and 3 inches, we just have to add 3 to 24. This equals 27 inches.
Juana weighed a sample of 12 jumbo eggs. Here are their weights (in grams): \begin{aligned} &67, 67, 68, 69, 69, 70, \\ &71, 71, 71, 72, 72, 73 \end{aligned} 67,67,68,69,69,70, 71,71,71,72,72,73 The mean is \bar x =70 x ˉ =70x, with, \bar, on top, equals, 70 grams. Which of these formulas gives the standard deviation?
Step-by-step explanation:
khan academy
The formulas that give the standard deviation will be given below.
[tex]\sigma = \sqrt{\dfrac{(67 - 70) ^2 + (67 - 70) ^2 + ( 68 - 70) ^2 + ....+ (73 - 70) ^2}{12}}[/tex]
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
[tex]\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}[/tex]
Juana weighed a sample of 12 jumbo eggs. Here are their weights (in grams): 67, 67, 68, 69, 69, 70, 71, 71, 71, 72, 72, 73
The mean is μ =70 grams.
Then the standard deviation is given as,
[tex]\sigma = \sqrt{\dfrac{(67 - 70) ^2 + (67 - 70) ^2 + ( 68 - 70) ^2 + ....+ (73 - 70) ^2}{12}}[/tex]
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Morgan has completed the mathematical statements shown below. which statements are true regarding these formulas? select three options. a = pi times r squared and c = 2 times pi times r. a = pi times r times r and c = pi times r times 2. a = (pi times r) times r and c = (pi times ) times 2. the numerical values of the area and circumference are equal when r = 2. the numerical value of the area is less than the numerical value of the circumference when r less-than 2. the numerical value of the area is greater than the numerical value of the circumference when r less-than 2. the numerical value of the area is less than the numerical value of the circumference when r greater-than 2. the numerical value of the area is greater than the numerical value of the circumference when r greater-than 2.
The correct statenments are:
The numerical values of the area and circumference are equal when r = 2.The numerical value of the area is less than the numerical value of the circumference when r less-than 2.The numerical value of the area is less than the numerical value of the circumference when r greater-than 2.Area of a circle and its circumferenceThe circumference of a circle is the sum of the external part of the circle.
The formula for calculating the area of a circle is expressed as:
A = πr²
The formula for calculating the circumference is given as:
C = 2πr
r is the radius of the circle
If radius is 2 units
A = π(2)² = 4π
C= 2π(2) = 4π
The numerical values of the area and circumference are equal when r = 2.
If radius is 1 units < 2 units
A = π(1)² = π
C= 2π(1) = 2π
The numerical value of the area is less than the numerical value of the circumference when r less-than 2.
If radius is 3 units > 2 units
A = π(3)² = 9π
C= 2π(3) = 6π
The numerical value of the area is less than the numerical value of the circumference when r greater-than 2.
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Answer:
ABD
Step-by-step explanation:
What trigonometric ratio is 6/10?
Answer:
tanC
Step-by-step explanation:
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6}{10}[/tex]
Which polynomial lists the powers in descending order?
A. 10x^2 + 8x^3 + x^8 - 3x^6
B. x^8 +3x^6 +8x^3 + 10x^2 - 2
C. x^8 + 10x^2 + *x^3 +3x^6 - 2
D. 3x^6 + 10x^2 + x^8 + 8x^3 - 2
Answer:
B
Step-by-step explanation:
it goes 8 6 3 2
none of the other ones go this order
Jonas needs to find the missing height of a box that has a length of 6 in, a width of 3 in, and a volume of 36 in3. Jonas needs your help in finding the missing height. What should he do?
pls help
you are taking a trip at the same time as another family. your family traveled 1.900 miles in 2 days, their family traveled 2.700 miles in 3 days. who is traveling faster
Answer:
1.900 miles / 2 = 950 miles per day.
2700 miles / 3 = 900 miles per day.
Therefore, the other family travelled faster.
Quadrilateral LMNO can BEST be described as
a) square
b) rectangle
c) rhombus
d) parallelogram
E) quadrilateral
Answer:
E) quadrilateral
Step-by-step explanation:
Quadrilateral LMNO has 4 sides, but only two seem to parallel each other and that is why it is only a quadrilateral.
Requirements for each shape:
Square = 4 equal sides, 2 pairs of parallel ones, all right angles
Rectangle = 2 sets of equal and parallel sides, all right angles
Rhombus = 4 equal sides, 2 pairs of parallel ones
Parallelogram = 2 pairs of parallel sides
Quadrilateral = 4 sided polygon with 4 corners
Hope this helps!
The volume of a rectangular box is 5760 units^3
the surface area is 2002 units^2
The sum of the edges of the box sum up to 216 units
If the edges of the box are increased by 1 unit , work out the new volume of the box
The new volume after the edges of the box are increased by 1 unit = 266,491 units^3
Calculation of volume of rectangular boxThe volume of a rectangle= l×w×h
The surface area of the box = (side)^2
The sum of the edges of the box = 216 units
If area of the box x^² = 2002
X = √2002
X = 44.7units
But the sum of the edges = 216 units
44.7 + 44.7 + y = 216
make y the subject of formula,
y = 216 - 89.4
y= 126.6 units
Therefore the length, width and height of the rectangular box = 44.7, 44.7 and 126.6 units respectively.
When additional 1 unit is added to each edge it becomes,
44.7 +1 =45.7,
44.7 + 1 = 45.7and
126.6 + 1 = 127.6 units.
Therefore the new volume = 45.7×45.7 × 127.6 = 266,491 units^3.
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please help w ccorrect answer !! I'll mark brainliest
Answer:
x = 146°
Step-by-step explanation:
The 34° angle and the angle marked x are same side interior angles. They are supplementary which means the angles should add up to 180°
34 + x = 180
Subtract 34.
x = 146