find two consecutive integers such that the sum of their square is 60
Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by h(t)=5+25t-16t^2, where t is the time in seconds.
a) How much time will pass before Jon hits the ball? (round to the nearest tenth of a second)
b) What is the time in which the maximum height the ball attains? ( to the nearest hundredth of a second)
Answer: A= 1.60 sec
And I am not sure if B is correct, but I got 14.77 ft.
Step-by-step explanation:
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Jon who is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by -
h(t) = 5 + 25t - 16t²
where [t] is the time in seconds.
[A] -
At h = 4ft, we can write -
4 = 5 + 25t - 16t²
- 16t² + 25t + 1 = 0
On solving, we get -
t = 1.602 seconds
[B] -
We have -
h(t) = 5 + 25t - 16t²
For maximum height -
dh/dt = 0
d/dt(5 + 25t - 16t²) = 0
0 + 25 - 32t = 0
32t = 25
t = 25/32
t = 0.79 seconds
Therefore -
t = 1.602 seconds will pass before Jon hits the ball.At t = 0.79 seconds the ball attains maximum height.To solve more questions on Equation Modelling, visit the link below -
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2n+15=87
step by step, like detailed please LMAK
Answer:
n=36
Step-by-step explanation:
To isolate n you need to subtract 15 from both sides giving you
2n=72
Then to further isolate n you need to divide 2 from both sides giving you the answer
n=36
7th-grade equation math. Will give brainiest.
Answer:
x = 14
Step-by-step explanation:
Write an equation that can be used to answer the question. Then solve. Round to the nearest tenth if necessary.
Answer:
5^2+h^2=12^2, the answer would be ~10.97 ft.
Step-by-step explanation:
I would use the Pythagorean theorem to solve this problem. Put in the things that you know, so in this image we are given one of the legs and the hypotenuse of the triangle.
Pythagorean theorem is :
a^2+b^2=c^2 with a and b being the legs and c being the hypotenuse.
Once you plug in the hypotenuse and one of the legs, solve for the other leg by subtracting a^2 (5^2) from 12^2 (c^2), which will give you 119, and then take the square root of 119 and you will get your answer.
how many solutions does 3(x+5) = x+10?
Answer:
one
Step-by-step explanation:
distribute: 3x+15 = x+10
add like terms: 2x = -5
divide: x= -5/2
Work out the volume of this sphere.
Leave your answer in terms of pi
Answer:
Volume of sphere = 36π cm³
Step-by-step explanation:
Given:
Radius of sphere = 3 cm
Find:
Volume of sphere.
Computation:
Volume of sphere = (4/3)πr³
Volume of sphere = (4/3)π(3)³
Volume of sphere = (4/3)π(27)
Volume of sphere = 36π cm³
What 2 + 2 + 3 + 65 + 1
Answer:
73
Step-by-step explanation:
2+2+3+65+1
=4+3+65+1
=7+65+1
=72+1
=73
Write two fractions that are equivalent to the given fraction.
5/7
Answer:
10/14 25/35
Step-by-step explanation:
For the first one multiply times 2
For the second one multiply times 5
What is the greatest common factor of 51, 24, and 81?
Answer:
3
Step-by-step explanation:
hope this helps
Find the greatest common factor of 18, 36,18,
Answer:
Step-by-step explanation:
18=2(3)3
36=2(2)3(3)
The GCF will be the product of their common factors, specifically 2(3)3=18
Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 5 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.
Q1. How many cups of flour are needed to make 1 loaf of bread?
Answer:
The answer is: One loaf of bread contains one and halve cups of flour.
Answer:
The answer is: One loaf of bread contains one and halve cups of flour.
Step-by-step explanation:
A cone has volume 3π.
If the cone’s radius is 1, what is its height?
If the cone’s radius is 2, what is its height?
If the cone’s radius is 5, what is its height?
If the cone’s radius is 12, what is its height?
If the cone's radius in r, then what is the height?
Im so confused on how to start
Answer:
r=1, h=9
r=2, h=2.25
r=5, h=0.36
r=12, h=0.0625
r=r, h=9/r²
Step-by-step explanation:
Volume of a cone = πr²h/3
3π=πr²h/3
r²h=9
when r=1?
r²h=9
1²h=9
h=9
when r=2?
r²h=9
2²h=9
4h=9
h=2.25
when r=5?
r²h=9
5²h=9
25h=9
h=0.36
when r=12?
r²h=9
12²h=9
144h=9
h=0.0625
when r=r?
r²h=9
h=9/r²
The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.
VolumeVolume is the amount of space that is occupied by a three dimensional object.
The volume of a cone (V) is given by:
V = (1/3)πr²h
Where r is the radius and h is the height.
For a radius of 1:
3π = (1/3)π*(1)² * h
h = 9
For a radius of 2:
3π = (1/3)π*(2)² * h
h = 2.25
For a radius of 5:
3π = (1/3)π*(5)² * h
h = 0.36
For a radius of 12:
3π = (1/3)π*(12)² * h
h = 0.02
The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.
Find out more on Volume at: https://brainly.com/question/1972490
Which equation can be used to solve for x in the parallelogram below?
A) 3x-12=6x+12
B) (7x-8)+(6x+12)=90
C) 3x-12=2x+8
D) (7x-8)+(6x+12)=180
Answer:
B. (3x - 12)° = (2x + 8)°
Step-by-step explanation:
This equation can be used to solve x.
3x - 12 = 2x + 8
3x - 2x = 12 + 8
x = 20°
-------------------------------------------------------------------
Verification:
3(20) - 12 = 2(20) + 8
60 - 12 = 40 + 8
48° = 48°
Please help!
Are these triangles similar?
Answer:
no
Step-by-step explanation:
every triangle adds to 180 degrees
each triangle has different degrees that add to 180 along with different hypontuse
if f and g are inverse functions, what is (fog)(-1)
If f (x) - 3(x + 5) +-, what is f(a + 2)?
4.
A. 3(a + 7) +
4+2
4
B. 3(a + 2) +- + 2
C. 30 (4) +5) +-
ja) + 2
Answer:
A
Step-by-step explanation:
Just plug in [tex]x=a+2[/tex].
Which table of value is correct for the equation y = - x + 3
Answer:
D
Step-by-step explanation:
the answer for this question
y = - x + 3
do 252/448 and 36/64 form a proportion?
Answer:
252/448 and 36/64 form a proportion
Step-by-step explanation:
The easiest way to do this is to let 252/448 = 36/64
Then cross multiply to get 252(64) = 36(448)
16128 = 16128
Since the two products are equal, then 252/448 and 36/64 form a proportion. If the the two products were unequal, then the two fractions would NOT form a proportion.
WHat is 9 times 8 times 7 times 6 times 4 times 3 times 2 times 1 divided by 8. First person to answer get a free like and brainly!!!
Answer: ye its 9072
Step-by-step explanation:
pleaseee help ill mark brainliest i swear please help
Answer:
45
Step-by-step explanation:
each bracelet takes 15 min
15*3=45
1 hour = 60 minutes..
In 1 hour she makes 4
In 2 hours (120 minutes) she makes 8
So in each hour she makes 4 ( 8 /2 = 4)
So In 3 hours she will make 3 x 4 = 12 bracelets
The asymptote of the function (x) = 3^x+ 4 is y= |
*. Your club is trying to raise money for a trip to Atlanta. They purchase boxes of candy to help fund the trip. Each box contains 60 candy bars. Each box costs $45. How much money does the club have to charge for each candy bar to make a profit of $39 per box? A. $2.60 per candy bar B. $1.25 per candy bar C. $1.40 per candy bar D. $2.69 per candy bar
how do you graph 7x + 2y = -8
Answer:You set it up as y=mx+b
Step-by-step explanation:
Urgent!
What is the quotient (2x2 + 10x + 12) ÷ (x + 3)?
A. 2x + 6
B. 2x - 6
C. 2x + 4
D. 2x - 4, r = 1
Answer: The answer would be c 2x + 4
Step-by-step explanation:
Your shirt drawer contains a different colored shirts that you were over the next eight days what is the probability that you randomly choose the orange shirt to wear today and the red shirt to wear tomorrow
Step-by-step explanation:
four times only......................
[tex]7x-4+35=72[/tex]
Answer:
7x - 4 + 35 = 72
7x + 31 = 72
7x = 41
x = 41/7 *you cant simplify*
x = 5 6/7 as a mixed number
Step-by-step explanation:
hope this helps
Find the value of x in the triangle shown below.
Answer:
i think C
Step-by-step explanation:
Yesterday, there were 50 problems assigned for math homework. Nate got 28 out of 50 problems correct. What percentage did Nate get correct?
Answer:
56
Step-by-step explanation:
28/50 thats what you have now you need to make it into 100 so you do 50x2=100 28x2=56 the answer 56/100 and the max is 100 percent so the answer is Nate Got 56 percent on the math homework
What is the meaning of the word function
Answer:
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Step-by-step explanation: