Answer:
40 ft
Step-by-step explanation:
The maximum height of the ball is the y- coordinate of the vertex
Given a parabola in standard form then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
h(t) = - 16t² + 48t + 4 ← is in standard form
with a = - 16, b = 48 , thus
[tex]x_{vertex}[/tex] = - [tex]\frac{48}{-32}[/tex] = 1.5
Substitute t = 1.5 into h(t) for max. height
h(1.5) = - 16(1.5)² + 48(1.5) + 4
= - 36 + 72 + 4
= 40
The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.
340.1 ÷ 9.5 = 358
Answer:
35.8
Step-by-step explanation:
[tex]\frac{340.1}{9.5}[/tex] = 358
We know that our answer can never be greater than 358 since the dividend
is 340.1 and the divisor is 9.5;
Also,
Both values are to one decimal places and we can use this to solve the problem;
9 can divide 340 in about 37 place with a remainder of 7,
So, it is appropriate to make the solution 35.8
Find the slope of the line that passes through (7, 13) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer:
-3/2
Step-by-step explanation:
Visualize it or write it out.
The post office sold 39-cent
commemorative stamps in sheets
of 25 stamps. What was the price
for the sheet of stamps?
Answer: $9.75.
Step-by-step explanation:
Given: Cost per stamp = 39 cents
since 1 dollar = 100 cent , so 1 cent = 0.01 dollar
So, Cost per stamp = $0.39
Total stamps = 25
Cost of 25 stamps = (Cost per stamp) x (Cost per stamp)
=$0.39 x 25
= $9.75
Hence, the price for the sheet of stamps = $9.75.
A rocket is 1.5miles above the earth in 20 seconds and is 8 miles above the earth in 2 minutes. What is the rockets rate of change in miles per seconds
Given:
A rocket is 1.5 miles above the earth in 20 seconds.
It is 8 miles above the earth in 2 minutes.
To find:
The rockets rate of change in miles per seconds.
Solution:
Let y be the height above the earth after x seconds.
A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).
It is 8 miles above the earth in 2 minutes.
1 minute = 60 seconds
2 minutes = 120 seconds
So, the point is (120,8).
The rockets rate of change in miles per seconds is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{8-1.5}{120-20}[/tex]
[tex]m=\dfrac{6.5}{100}[/tex]
[tex]m=0.065[/tex]
Therefore, the rockets rate of change is 0.065 miles per seconds .
3/4 divided by what equals 12
Answer:
0.05357142
Step-by-step explanation:
What is the discriminant of the quadratic equation, 4x^2-8x-5=0
Answer:
Step-by-step explanation:
4x^2-8x-5=0
The discriminant is the number under the √. In this case it's 144
Answer:
[tex]\Delta=144[/tex]
Step-by-step explanation:
For a quadratic in standard form, the discriminant is given by:
[tex]\Delta=b^2-4ac[/tex]
We have the equation:
[tex]4x^2-8x-5=0[/tex]
Hence, our a=4; b=-8; and c=-5.
Substituting into our formula, we acquire:
[tex]\Delta=(-8)^2-4(4)(-5)[/tex]
Evaluate:
[tex]\Delta=64+80[/tex]
Add:
[tex]\Delta=144[/tex]
Therefore, our discriminant is 144.
Notes:
Since our discriminant is a positive value, this tells us that our quadratic has two real roots.
whats the slope to this
Answer:
-14/15
Step-by-step explanation:
Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
A new brand of refrigerators and air conditioners saves 15% on power use. Your present monthly power bill averages $200. What would be your monthly savings by using this new brand?
Answer:
$170
Step-by-step explanation:
15 percent of 200 is 30 and 30 minus 200 would be 170
5 (2k - 8 ) - 15 = -25
how do I solve this?
Answer:
3=k
5(2k-8)-15=-2510k-40-15=-2510k-55=-2510k=-25+5510k=3030÷103=kGregg is on a diet . He started at 250 pounds . After 10 weeks he weighed 245 pounds and after 15 weeks he was 215 pounds . (Rates in pound per week) ?
In the figure below, Angles 1 and 2 are congruent.
If m Z1 = 70°, what is the sum of Angles 3 and 4?
O A. 150°
O B. 140°
O C. 110°
оD 180°
Find the slope of (-1,3) and (2,5)
Answer:
slope should be 3
Step-by-step explanation:
i used my calculator
awnser
what is 1+1/0=x
Answer:
0
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
1 + 1/0 = x
-1
1/0 = x
x0
1 = x
Backwards PEMDAS where each thing you do backwards cancles itself out.
Select all that apply.
Which of the following are equivalent ratios?
10/15
12/16
8/12
14/21
Answer:
10/15 8/12 14/21
Step-by-step explanation:
Please Help! need a step by step answer will give brainly
Answer:
If I know I will defiantly answer .but where is the question
Help and I will give u brainliest dont do 24
Answer:
a,bcb,a
Step-by-step explanation:
2. How much interest is earned on a principal of $200 invested at an interest rate of 9% for eight
years?
Answer:
Answer: 177
Step-by-step explanation:
What is the value of X?
Answer:
I THINK ITS 61
Step-by-step explanation:
Can you give me the answer? Ill give brainliest for the right answer
Answer:
I believe the answer is b
Step-by-step explanation:
I might be wrong
Answer:
A. -1
Step-by-step explanation:
ΔY/ΔX= 1/-1 =-1
What is the slope of a line passing through the points (-1, 3) and (4, -7)
A. -2
B. -4/3
C. 3/4
D. 2
Answer:
A
Step-by-step explanation:
-7-(3)/4-(-1)=-10/5 which is -2
Use the slope formula y2-y1/x2-x1 to solve
t + 17 = 3
show work
Answer:
t=-14
Step-by-step explanation:
subtract 17 from each side
Answer:
t = -14
Step-by-step explanation:
to find out the answer, you need to get t by itself and to do that you subtract 17 from both sides. On the left side, it cancels out and on the right, 3-17 is -14 so t would equal -14
3x2 + x = 2
Solve Real and imaginary solutions
Answer:
3*2+x=2
6+x=2
subtract 6 on both sides
x= -4
Step-by-step explanation:
What is the solution to the equation below
50+ 4 = 2(C-5)
Answer:
32
Step-by-step explanation:
54 = 2(C-5)
27 = C-5
32 = C
Evaluate the expression 2[x(2y+3z)] when x=8, y=3, and z=1. Show all steps below.
plz help me and show steps
Answer:
Step-by-step explanation:
Putting values
2[8(2(3)+ 3(1)]
2(8(9)
2(72)
144
question 1/ Find the slope of the line that passes through the points (2, 5) and (-7, -4). If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler.
Answer:
I believe the slope is 1
Step-by-step explanation:
Answer:
The slope is 1
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-4)-5/(-7)-2
m=-9/-9
m= 1
a, = 5 +0.2(n-1)
f(n)
Answer:
a=4.8
Step-by-step explanation:
may be wrong tho
which equation represents this relationship
Answer:
B?
Step-by-step explanation:
What is 708 divided by 67 with a remainder?
Answer:
its 10 with the remainder of 38
Step-by-step explanation:
The result of the division is remainder = 38 and quotient = 10
What is division?Division is the opposite of multiplying. When we know a multiplication fact, we can find a division fact: Example: 3 × 5 = 15, so 15 / 5 = 3. Also, 15 / 3 = 5.
Given that, 708 divided by 67
When dividing 708 by 67 will get 10 as quotient and 38 remainder
Hence, the result of the division is remainder = 38 and quotient = 10
Learn more about division, click;
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Write the equation of the line that passes through the points (-8, -1) and (5-7).