Considering the function for it's height, it is found that the ball traveled for 3 seconds before returning to the ground.
What is the function for the ball's height?The height of the ball after t seconds is given by:
h(t) = -16t² + 48t.
It is at the ground at the instants of t for which:
h(t) = 0.
Hence:
-16t² + 48t = 0
-16t(t - 3) = 0.
We want t different of 0, hence:
t - 3 = 0 -> t = 3.
The ball traveled for 3 seconds before returning to the ground.
More can be learned about functions at https://brainly.com/question/25537936
Answer:
3 seconds is the answer
Step-by-step explanation:
$500 is deposited in a bank account paying 6% simple interest, how much interest will the deposit earn in 4 years?
Answer:
It will gain $120, making it $620 in all.
Step-by-step explanation:
A = 500(1 + (0.06 × 4)) = 620
I need help asp pls!!!!
Answer:
y= -60x+ 200
Step-by-step explanation:
Given: Initial distance from Kingston = 200 miles
Distance from Kingston after 2 hours= 80 miles
Step 1:
The general model for linear equations is given as:
y= ax+ b
where
a= slope
b= y-intercept
Step 2:
The y-intercept represents the initial value: 200 miles from the Kingston
b= 200
Therefore,
y= ax+ 200
Step 3:
As the car gets closer to Kingston, the distance keeps decreasing.
The car having covered 80miles need to cover another 120 miles after 2 hours
Hence, the slope would be negative
Slope:
a= -120 miles/2 hours
a=-60
The model therefore is:
y= -60x+ 200
Final answer: Option (D)
The model is : y= -60x+ 200
Find the measure of X
Find the measure of PS and QR
Answer: x=4. PS=QR=15
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
a) Class D - lowest variability/range
b) Class C - highest average/mean
Hope this helps!
One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.
13^2 + b^2 = 17^2
169 + b^2 = 289
b^2 = 120
b = 11.0 cm
The length of the other leg of the triangle is 11.0 cm (rounded).
Hope this helps!
The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
[tex]a^2 + b^2 = c^2[/tex]
Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.
To find the lengths of a right triangle, we can use Pythagorean Theorem:
[tex]a^2 + b^2 = c^2[/tex],
where; a and b are the legs of the triangle and c is the hypotenuse.
[tex]13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120[/tex]
b = 11.0 cm
Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.
Learn more about Pythagoras theorem;
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Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
2.414
8.160
+ 2.621
Help (I also need help learning how too round too the nearest whole number:)
Answer:
13
Step-by-step explanation:
to round to nearest whole number if its .5 or above you go up 1. If it's .4 or below you go down 1.
2.414=2
8.160=8
2.621=3
add
2+8+3=13
if you just added the decimals you would get: 13.195. (This shows you have a good estimate.)
Please solve will mark brainliest
evaluate expression
32+4 X (16 X �) -2
Answer: 64x + 30
Step-by-step explanation:
Since this is an expression, we will simplify. Let � be x.
Given:
32 + 4 * (16 * x) -2
Simplify:
32 + 4(16x) -2
Distribute / multiply:
32 + 64x - 2
Combine like terms
64x + 30
HCF or LCM
294 blue smarties, 252 pink smarties, and 210 yellow smarties are shared equally among some students with none left over. What is the largest possible number of students?
In a number of identical boxes of chocolates, there are 90 dark ginger, 198 white, and 126 hazelnut. What is the largest possible number of boxes of chocolates?
HCF for both I believe!
Find the 14" term
7, 14, 28, 56,
Step-by-step explanation:
it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.
and then I see
7 × 2 = 14
14 × 2 = 28
28 × 2 = 56
ok, so the sequence is created by always multiplying by 2.
a1 = 7
a2 = a1 × 2 = 7 × 2 = 14
a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28
an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)
a14 = 7 × 2¹³ = 7 × 8192 = 57,344
34. Find the surface area for the following rectangular prism
[tex] \huge\fbox\green{ANSWER} [/tex]
Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2
[tex] \mathsf \blue{83.25 {cm}^{2} }[/tex]
A.)12
B.) 25
C.)51
D.) 77
Answer:
4x+3=2x+27
4x-2x=27-3
2x=24
x=24/2
x=12
Answer:
51
Step-by-step explanation:
2x+27=4x+3
-3 -3
__________
2x+24=4x
___________
2
x+12=2x
-x -x
___________
12=x
now plug in/check answer
2(12)+27=4(12)+3
24+27=48+3
51=51
true
What is the distance between A(5, 4) and
B(2, -3)?
4
5
Round your answer to the nearest hundredth.
3
69
5
Answer:
7.62
Step-by-step explanation:
To calculate the distance we can set up a right triangle and use the pythagorean theorem to calculate the distance.
A^2 + B^2 = C^2
Keep in mind that the A and B in this theorem (and my proceeding work) does not correlate to the labels for the points in the problem and are the standard variables used in the theorem.
First lets find the lengths of the sides A and B of our triangle by determing the distance on each axis that seperates the points.
On the x-axis we have
A = 5 - 2
A = 3
The y-axis has
B = 4 - (-3)
B = 7
Plugging these values into the equation from earlier we get:
3^2 + 7^2 = C^2
Where C is the hypotenuse of the right triangle we have created, and the distance between the two points.
9+49 = C^2
sqrt(58) = C
7.615773106 = C
Rounded the the nearest hundredth:
C = 7.62
2. Help me find the mode of these data set: 12, 10, 10, 10, 13,12, 11, 13, 10
(2 Points)
1. 10
2. 10 & 12
3. no mode
4. 12
Answer:
10 is the answer for this
please mark me as brilliant
If charged per cut, how much will it cost
to cut a log into eight pieces if cutting it
into four pieces costs $12?
Answer:
24
Step-by-step explanation:
4x=12
x=12/4
x=3
8×=?
8(3)=24
therefore, 8 pieces will cost 24.
another way is:
since 8 is 4×2
you could double the amount of money
12x2
which would also give you $24
If charged per cut, it will cost 24 dollar to cut a log into eight pieces if cutting it into four pieces costs $12
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that to cut a log into eight pieces if cutting it into four pieces costs $12.
Thus,
4x=12
x=12/4
x=3
Hence, for 8 pieces
8(3)=24
therefore, 8 pieces will cost 24.
If charged per cut, it will cost 24 dollar to cut a log into eight pieces if cutting it into four pieces costs $12
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The of a sister is two times of her brother ages. Two years ago, the age sum of the ages was 26 years. Find their ages. k
Suppose the confidence interval (0. 6358, 0. 7532) represents the proportion of Skyline College students who say math is their favorite subject. A. Based on the confidence interval, is it likely 60% of Skyline College students say math is their favorite subject? No, 0. 60 is not contained in the interval Yes, 0. 60 is not contained in the interval Yes, all the interval values are greater than 0. 60 b. Based on the confidence interval, does it appear that more than 60% of Skyline College students say math is their favorite subject? Yes, all the interval values are greater than 0. 60 Yes, 0. 60 is not contained in the interval No, 0. 60 is not contained in the interval c. Based on the confidence interval, does it appear that fewer than 60% of Skyline College students say math is their favorite subject? Yes, all the interval values are greater than 0. 60 No, 0. 60 is not contained in the interval No, all the interval values are greater than 0. 60
Considering the confidence interval, the interpretation regarding wheter 60% of Skyline College students say math is their favorite subject is:
A. No, 0. 60 is not contained in the interval.
B. Yes, all the interval values are greater than 0.60.
C. No, all the interval values are greater than 0.60.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
In this problem, the confidence interval for the proportion of students who say math is their favorite subject is (0.6358, 0.7532).
Since the entire interval is above 0.6, and it does not contain 0.6, the correct answer for each question is given as follows:
A. No, 0. 60 is not contained in the interval.
B. Yes, all the interval values are greater than 0.60.
C. No, all the interval values are greater than 0.60.
More can be learned about confidence intervals at https://brainly.com/question/25890103
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Answer:
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
There were 27 children in a class.
There were twice as many boys as girls.
How many boys were there?
Answer:
18
Step-by-step explanation:
no. of boys=2x
no.of girls=x
total no. of pupils=2x+x
27=3x
27/3=x
x=no.of girls=9
no.of boys =2x=2*9=18
Answer: 18 Boys
Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice
Solve for x show work
X+12=-15
Answer:
X= -27
Step-by-step explanation:
X+12= -15
X= -15 -12
X= -27
Can y’all help with this? Thanks
Answers:
Exponential decay model is y = 500*0.88^x
There is roughly 0.0000000000237 mL of the original air left.
There are 10 zeros between the decimal point and the '2'
The number in scientific notation is [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex]
=============================================================
Further Explanation:
A general exponential equation is
y = a*b^x
We start with 500 mL of air which is the value of 'a'
If 12% of the air is replaced, then 88% of it remains because 12% + 88% = 100%
Convert 88% to the decimal form 0.88 and this represents the base of the exponent. This is the value of b.
-------------
Since a = 500 and b = 0.88, we have
y = a*b^x
y = 500*0.88^x
Now we plug in x = 240 to estimate how much of the original air is in the lungs after that many breaths.
y = 500*0.88^x
y = 500*0.88^240
y = 0.0000000000237
This number is very small and to be expected since quite a bit of breaths have occurred. Nearly all of the original air particles should be replaced by this point. A very small trace amount remains.
Notes:
There are 10 zeros between the decimal point and the '2' in the number 0.0000000000237The number 0.0000000000237 is so small that it probably makes sense to use scientific notation to write [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex] meaning we move the decimal point 11 spots to the left to go from 2.37 back to 0.0000000000237The number 0.0000000000237 is read out as "237 ten-trillionths". Imagine splitting an object into ten trillion tiny pieces, and then shading 237 of those pieces to represent this decimal number.4.
Which point on the number line
represents 0.3?
Answer:
Point C
Step-by-step explanation:
because the number is 0.3 you need to start at zero on the number line and go forward 3 marks. That will lead you to your answer of 0.3
Answer: it’s C because it’s the one that’s closer to 3 if u need help just ask
Step-by-step explanation:
Hope this helps
-3
Bob is selling raffle tickets. For every 3 tickets, he charges $27 complete the table below showing the number of tickets and the amount Bob charges. (Number of tickets 3 ? 6 ? 9) (charge ($) 27 36 ? 72 ?)
Bert looks around at an assembly. He notices his younger sister to his right and his older
brother 3 meters ahead of him. If Bert's brother and sister are 5 meters apart, how far apart
are Bert and his younger sister?
meters
Step-by-step explanation:
From how Bert, his sister and older brother are standing, they form a triangle. Since we are not told anything else we can assume they form a right angled triangle. Use theorem of pythagoras to get the missing side.
Bert and his sister are 4 meters apart.
Please help me with this please and thank you
Answer:
A
Step-by-step explanation:
it's a geometric sequence since it is continuously being multiplied by the same number which in this case is 2.
Answer:
A. 3, 6, 12, 24
Step-by-step explanation:
In A, you're multiplying by 2 each time.
A rectangular prism is 20 meters long, 13 meters wide, and 5 meters high. What is the surface area of the rectangular prism?
Answer:
850m^2
Step-by-step explanation:
Look at the formula SA=L*W*H. And plug in the numbers pertaining the question! hints on to what to add is stuff like "long" for length, "wide" for width, and "high" for height! And use a calculator, or scetch it out to find your total answer!
Hope this helps!
The cyclist drove from the village to the town, 30 km away. back on
the same road, he reduced his speed to 2 km/h and therefore
drove 30 minutes longer. At what speed did the cyclist ride from
the village to the city?
Please I really need your help quick
Answer:
14.5 hours
Step-by-step explanation:
Take the return trip situation.
From town to village
Distance = 30 kmSpeed = 2 km/hTime = Distance/Speed = 15 hoursThat is equal to the sum of t, the time taken from the village to the city and 30 minutes.
⇒ t + 30 minutes = 15 hours
⇒ t + 0.5 hours = 15 hours
⇒ t = 14.5 hours
I don’t understand this subject at all if you wold answer that would be a big help
Answer:
d is about 8.6 feet.
Step-by-step explanation:
We have similar triangles, so we can set up and then solve this proportion:
[tex] \frac{d}{10} = \frac{6}{7} [/tex]
[tex]7d = 60[/tex]
[tex]d = 8.6[/tex]
3 km is greater or less than 5,000 m
Answer:
less
Step-by-step explanation:
3 km is 1.864 miles therefore, less than 5,000 m
what are the dimensions of a rectangle with an area of 45 square inches and a perimeter of 28 inches?
Answer:
9 in × 5 in
Step-by-step explanation:
the area of a rectangle :
length × width
and this is 45 in² in our case.
the perimeter of a rectangle is
2×length + 2×width
and this is 28 in in our case.
l×w = 45
l = 45/w
2×l + 2×w = 2×(45/w) + 2w = 28
45/w + w = 14
45 + w² = 14w
w² - 14w + 45 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = w
a = 1
b = -14
c = 45
w = (14 ± sqrt((-14)² - 4×1×45))/(2×1) r
= (14 ± sqrt(196 - 180))/2 = (14 ± sqrt(16))/2 =
= (14 ± 4)/2 = 7 ± 2
w1 = 7 + 2 = 9 in
w2 = 7 - 2 = 5 in
l1 = 45/w1 = 45/9 = 5 in
l2 = 45/w2 = 45/5 = 9 in.
so, we see, length and width are interchangeable. it is only important to make one 9 in and the other 5 in.
A traffic cone has a volume of 150 cubic inches. The height of the cone is 18 inches. What is the diameter of the traffic cone?
A.
3 inches
B.
5 inches
C.
10 inches
D.
50 inches
WILL GIVE BRAINLIEST!!