Answer:
the maximum height of the ball is 42.25 m
Step-by-step explanation:
Given the height function as;
h(t) = -16t² + 12t + 40
At maximum height, the final velocity of the ball will be zero.
The final velocity is calculated as follows;
[tex]v = \frac{dh(t)}{dt} = -32 t+ 12\\\\at \ maximum \ height\ v = 0\\\\Thus, -32 t+ 12 = 0\\\\32t = 12\\\\t = \frac{12}{32} \\\\t = 0.375 \ s[/tex]
At maximum height, the time of motion of the ball is 0.375 s.
The maximum height is calculated as follows;
h(t) = -16t² + 12t + 40
h(0.375) = -16(0.375)² + 12(0.375) + 40
h(0.375) = -2.25 + 4.5 + 40
h(0.375) = 42.25 m
Therefore, the maximum height of the ball is 42.25 m
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Function g can be thought of as a scaled version of f(x) = 2²,
Write the equation for g(x)
Answer:
Step-by-step explanation:
b/c the function goes thur the point (1,4) we know it's 4 times more than f(x) so g(x) = 4[tex]x^{2}[/tex]
Robert can type 360 words in 3 minutes. Jocelyn can type 525 words in 5 minutes.
Who is typing at a faster rate? Explain your reasoning.
Step-by-step explanation:
Robert: 360/ 6 = 62 words per minute
Jocelyn: 525/ 5= 58 words per minute
Jocelyn types faster. I haven't done 5th grade math in so long... lol if wrong please correct me..
I NEED HELP PLSSS HELP SHOW WORK IF YOU KNOW
PLEASE SHOW THE PROBLEM WE CANT SEE
What is The meadian of 26 29 31 33 36
Answer:
31
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order, so
26, 29, 31, 33, 36
↑ middle value
median = 31
Please help if you know the answer please
Answer:
dont know the answer. Good luck :)
Step-by-step explanation:
What is the measure of arc AB?
A. 153
B.140
C.142
D.180
Answer:
153
Step-by-step explanation:
don't know explanation
Eva is showing her work in simplifying (7.3 − 7.2) − 3.8 + 3.7. In which step did Eva make an error?
Step 1: (7.3 − 7.2) − 3.8 + 3.7
Step 2: 7.3 + (−7.2 − 3.8) + 3.7 (commutative property)
Step 3: 7.3 − 11 + 3.7
Step 4: 7.3 + 3.7 − 11 (commutative property)
Step 5: 11 − 11 = 0
Step 2; she wrote commutative instead of distributive
Step 4; she wrote commutative instead of distributive
Step 4; she wrote commutative instead of associative
Step 2; she wrote commutative instead of associative
Answer:
I think step 4
Step-by-step explanation:
Answer:
Step 2; she wrote commutative instead of associative
Step-by-step explanation:
i took the test the other one is wrong
what does the word "solution" mean has to be in your own words please help
Answer:
an answer to a problem
Step-by-step explanation:
find the area of each figure. Round your answers to the nearest hundredth 11-12
Answer:
17 and 18
Step-by-step explanation:
the answer is 17 and 18.....
Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was watering can be represented by a linear function and is shown in the graph below. Which statement is correct
Answer:
B. The amount of water originally in Wilson's can was 2.5 gallons.
wha the MIDPOINT of (-6, 8) and (6, -7)
Answer:
here you are:
the midpoint for (-6,8) and (6,-7) is (0, 1/2)
Step-by-step explanation:
the midpoint for (-6,8) and (6,-7) is (0, 1/2)
help me, please......
Answer:
Obstuse scalene
Step-by-step explanation:
Scalene - no sides are equal
the triangle is obtuse
Answer:
obtuse scalene
Step-by-step explanation:
An obtuse triangle is any triangle that has an obtuse angle. An obtuse angle is one that measures greater than 90 degrees. (so we know that this is obtuse)
A scalene triangle is one which have all three sides of a triangle of different lengths and all three angles of different measures (the three sides are diffrent so this applies)
In geometry, an isosceles triangle is a triangle that has two sides of equal length (this does not apply)
Hope this helps!
There are 10 coins with total value of $2.50. There are quarters, dimes or nickels. There are as many dimes as nickels. How many coins of each type are there?
Help BRAINLEST to best answer QUICK HELP
40 quarters, 100 dimes total for now is 20$ and if u add 250 nickels, it will be 25$
Hope this helps!
x^2-y^2+2y+1
Factorize
Answer:
Equation is already in factor form
Step-by-step explanation:
solve the inequality 4x + 6>22
Answer:
it is x>4 I solved it out.
c
76 mm
57 mm
What is the length of the hypotenuse?
C =
millimeters
Answer:
19.7
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
It's "C"
Step-by-step explanation:
Answer and Step-by-step explanation:
We are given functions that show how much Frank gets payed at his two jobs.
To find his total pay, we must add the functions together.
T(x) = f+g(x) = 10x + 8x + 12
Add together 10x and 8x.
T(x) = 18x + 12
We get the answer to be:
C. T(x) = 18x + 12
#teamtrees #PAW (Plant And Water)
Solve the following equation for x
IDEA: isolate the base ^power and then raise to the reciprocal power
5x^2/3 - 10= 35
Answer:
5x^2 (fraction over 3- 10=35Step-by-step explanation:
if you randomly pick a date in april, how mny equally likely outcomes are there.
There are five puppies in a box, two are girls and three are boys What is the ratio of girls to boys
Answer:
2:3
Step-by-step explanation:
2 would represent the Fraction of girls 3 would represent the fraction of boys.
Answer:
2:3
Step-by-step explanation:
The ratio is a relation between two amounts of something. In our case, we compare the amount of girl puppies to boy puppies, and so we get the following ratio...
2:3
If a1=4 and an =2an-1 – 1 then find the value of a4.
The value of [tex]a_{4} = 37[/tex].
Here,
The value of [tex]a_{1} = 4[/tex]
And, [tex]a_{n} = 2 a_{n-1} -1[/tex]
We have to find value of [tex]a_{4}[/tex].
What is Sequence?
A sequence is a collection of elements that are arranged according to a specific pattern.
Now,
The value of [tex]a_{1} = 4[/tex]
And, [tex]a_{n} = 2 a_{n-1} -1[/tex]
Then to find value of [tex]a_{4}[/tex], we can find [tex]a_{2} , a_{3}[/tex] as;
[tex]a_{2} = -2(a_{1} ) - 1\\a_{2} = -2(4) - 1\\a_{2} = -9[/tex]
And,
[tex]a_{3} = -2(a_{2} ) - 1\\a_{3} = -2(9) - 1\\a_{3} = -19[/tex]
Hence, the value of [tex]a_{4}[/tex] is;
[tex]a_{4} = -2(a_{3} ) - 1\\a_{4} = -2(-19) - 1\\a_{4} = 37[/tex]
Therefore, The value of [tex]a_{4} = 37[/tex].
Learn more about the sequence visit:
https://brainly.com/question/7882626
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Solve (x - 3)- + 7 = 97, where X is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.
Answer:
x=107 do you need explanation
a car drives at a speed of 90km/h for 2 hours and 20 minutes how far does the car drive ?
Answer:
explanation
Step-by-step explanation:
it drives 18 miles?
I'm not sure.
if I am right plz give brainliest
At the Fisher farm, the weights of zucchini squash are Normally distributed. Which standardized weight represents the top 10% of the zucchinis?
Find the z-table here.
–1.64
–1.28
1.28
1.64
Thus, the standardized weight which represents the top 10% of the zucchinis from the z-table for the fisher farm is 1.28.
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
Here, X is sample, is μ mean and is σ standard deviation.
At the Fisher farm, the weights of zucchini squash are Normally distributed.
For the normal distribution let the value of mean is 0 and standard deviation 1. Thus,
[tex]Z = \dfrac{X - \mu}{\sigma}\\Z = \dfrac{X - 0}{1}\\Z=X[/tex]
For the top 10% of the zucchinis, the value of α is 0.9. From the table for this value the z score is,
[tex]Z=X=1.28[/tex]
Thus, the standardized weight which represents the top 10% of the zucchinis from the z-table for the fisher farm is 1.28.
Learn more about the z score here;
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Find the missing number to make these fractions equal. 6/? = 4/12
please help. will give brainliest! review the table of values for function p(x). what is lim (x -14) p(x), if it exists? (table and answer options pictured)
Answer:
DNE
Step-by-step explanation:
The the given table, we have;
As x approaches -14 from the left, at x = -14.001, p(x) = 1.96
[tex]\lim \limits _{x \to -14^{-}} p(x) = 1.96[/tex]
As x approaches -14 from the right, at x = -13.999, p(x) = 1.97
[tex]\lim \limits _{x \to -14^{+}} p(x) = 1.97[/tex]
The value of p(x) when x = -14 is [tex]\lim \limits _{x \to -14} p(x)[/tex] = Undefined, or is not definable, therefore, p(x) Does Not Exist (DNE) when x = -14, and we have;
[tex]\lim \limits _{x \to -14} p(x)[/tex] Does Not Exist, DNE.
Answer
It's C. 2 on edge.
Step-by-step explanation:
The tax rate at this restaurant is 9.5%.
Marc’s sales tax is $1.61. How much was his subtotal?
Answer:
I don't know, I'm just doing this to get points. lol
Step-by-step explanation:
haha
Question 14 of 15
Evaluate (3/4)x^0
Answer:
I'm not sure if this is right, but I got 3/4. (0.75 as a decimal) I hope this helps!
Step-by-step explanation:
Find the difference. Write your answer in scientific notation.
(2.4 x 10^-1) - (5.5 x 10^-2) =
Answer:
0.185 Step-by-step explanation:
(2.4 x 10^-1) - (5.5 x 10^-2)
0.24-0.055= 0.185
Tricia made a circular mat from a square piece of cloth.
-Picture-
Which is closest to the circumference, in inches, of the circular mat?
A. 44 inches
B. 88 inches
C. 154 inches
D. 616 inches
Answer:
The circumference of the circle has a measurement of 44 inches
Step-by-step explanation:
From the question, as we can see, the given length represents the diameter of the circle
To get the circumference of the circle, we use the formula for the circumference
this is;
C = pi * d
in this case, d = 14 in
Thus, we have it that;
C = pi * 14 = 14 * 22/7 = 44 in