Answer:
Step-by-step explanation:
a toy rocket is launched from the top of a 48 foot hill. the rockets initial upward velocity is 32 feet per second and its height (h) at any given second (t) is modeled by the equation : h= -16t^2 + 32t +48.
Find the highest point the rocket reaches. show your work
Answer:
Maximum height is 64 feet
Step-by-step explanation:
For all: h= -16t²+ 32t + 48
1) AOS -> a = -16; b = 32; c = 48
x = -b/2a -> x= -32/(2×-16) = -32/-32 = 32/32 = 1/1 = 1
2) Plug in AOS
h = -16(1)² + 32(1) + 48
h= -16 + 32 + 48
h= 16 + 48
h= 64
Max height is 64
The answer to the problem need quick
Answer:
1 3/4 + 1 5/12 + 2 1/3=5.5
5.5*10.5=57.75
Hope This Helps!!!
if x and x/4 are a pair of supplementary angles find angles
[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]
Can someone help me make sense of the problem. Provide an explanation and answer if at all possible
Answer:
1.728×10¹⁵
Step-by-step explanation:
You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).
An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.
10 = 1 × 10
100 = 1 × 10 × 10 = 1 × 10²
__
Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).
Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)
The product will be ...
(5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)
= 17.28 × 10¹⁴
= (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left
Adding that extra zero into the count we already have, this becomes ...
= 1.728×10¹⁵
_____
Additional comment
Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.
Or, you can use a spreadsheet with appropriate output cell formatting.
Answer:
1.728×10¹⁵ is the answer
What is m<1?
60
120
66
114
Answer:
60 Is the correct answer
Answer:
114
Step-by-step explanation:
all angles of a triangle add up to 180
180-80-34 = 66
66 is the angle right next to 1
180 degrees will be the product of both of those angles
180-66 = 114
114 degrees
If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?
The value of a28 given a11 = 23 and a15 = −5 is -96
Given:
a11 = 23
a15 = −5
Where,
a1 = first term
d = common difference
a11 = a + 10d = 23
a15 = a + 14d = -5
a + 10d = 23 (1)
a + 10d = 23 (1)a + 14d = -5 (2)
subtract (1) from (2) to eliminate a
14d - 10d = -5 - 23
4d = -28
d = -28 / 4
d = -7
Substitute d = -7 into (1)
a + 10d = 23 (1)
a + 10(-7) = 23
a - 70 = 23
a = 23 + 70
a = 93
So,
a28 = a + 27d
= 93 + 27(-7)
= 93 + -189
= 93 - 189
= -96
Therefore, the value of a28 given a11 = 23 and a15 = −5 is -96
Learn more about arithmetic sequence:
https://brainly.com/question/6561461
HELP ME ON MY GEOMETRY PLEASEEEEE
Answer:
A
Step-by-step explanation:
The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder?
Answer:
V = B * H area of base * height
B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2
H = V / B = 600 cm^3 / 78.5 cm^2 = 7.64 cm
Simplify to create an equivalent expression.
2-4(5p+1)}2−4(5p+1)
Answer:
-8-60p
Step-by-step explanation:
Step-by-step explanation:
there are some things missing or have been mistyped.
I assume the following basic expression :
(2 - 4(5p + 1))×2 - 4(5p + 1)
4 - 8(5p + 1) - 20p - 4
-8(5p + 1) - 20p
-40p - 8 - 20p
-60p - 8
Can some help me i don't understand how to do this math!!
Answer:
Step-by-step explanation:
[tex]\frac{x}{(x-2)^{2} } -\frac{x}{(x-2)(x-1)} = \frac{x^{2}-x-x^{2} +2x }{(x-2)^{2}(x-1) }[/tex]
? = 2x -x = x
John drove 30 miles to work each day.He moved closer too work and now he drives 18 miles to work each day what percentage did the number of mile john drove decrease
Answer:
40 i think
Step-by-step explanation:
find the total amount due on a loan of $5000 for eight years and 10% simple interest
Answer:
170years
Step-by-step explanation:
R/100=2.5%
time= 100=0.025 per year (1/0.025) (5200\1000)-1=168
time=168 years
numbers in order from least to greatest?
35%, 3/5, 0.27, 2/7
Answer:
0.27, 2/7, 35%, 3/5
Step-by-step explanation:
PLEASE ANSWER QUICKLY 100 POINTS!!!! Simplify the expression below. (See picture below) What is the numerator of the simplified expression?
Answer:
13N+26/9n-26/3
Step-by-step explanation:
Answer:
13N+26/9n-26/3
Step-by-step explanation:
Mark as brainliest
Please help I’ll mark brainliest
Answer:
y= 2, x= -1 (-1, 2)
Step-by-step explanation:
y= x + 3
y= -x+1
substitute y= -x+1
-x + 1 = x + 3
isolate x
-x + 1 = x + 3
x + 1 - x = x + 3 - x
After isolating x you'll get x = -1
for y= - x + 1
y= - (-1) + 1
simplify y = 2
solution:
y= 2, x= -1 (-1, 2)
does anyone know how to do this?? thank you for your help
Answer:
substitute 1 for t
Step-by-step explanation:
The graph below shows the
relationship between the distance a
car is driven and the number of
gallons of gas used. What is the slope
and what does it represent?
Answer:
The slope is 30 and it represents the distance the car can travel per gallon of gas used
Step-by-step explanation:
We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30
It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.
someone please help, will give branliest
consider a sequence with the common difference of 5 and whose fiftieth term is 259. what are the first three terms of this sequence?
A- 15,20,25
B- 13,18,23
C- 9,14,19
D- 14-19,24
E- 10,15,20
The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5)
Answer:
rectangle
Step-by-step explanation:
u can use a graph paper
4. It takes Zack 30 minutes to walk 7.5 blocks to the swimming pool. At this rate, how many blocks can he walk in
one minute?
A. 1 block
30
B. block
7.5
765-30.5775
C. 4 blocks
D.) 5 blocks
Answer:
He can walk 0.25 blocks in 1 minute
Step-by-step explanation:
If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.
7.5/30 = 0.25
PLEASE HELP QUESTION IN PICTURE
I need help correct answers plzz
Step-by-step explanation:
Pythagoras, Pythagoras, Pythagoras.
c² = a² + b²
for c being the Hypotenuse (the side opposite of the 90 degree angle).
that is something you should really burn into your brain for life. you will need that many times.
1.
89² = 80² + side²
side² = 89² - 80² = 1521
side = sqrt(1521) = 39 ft
2.
D
because here the x value of 2 has to different assigned result (y) values. but for a function it had to be exactly 1 value.
3.
the longer of the 2 given sides must be the Hypotenuse, because otherwise we would get a negative length.
97² - 72² = side² = 4225
sqrt(4225) = side = 65 cm
4.
the distance between 2 point is the Hypotenuse of a right-angled triangle, with its legs being the differences in x and y coordinates.
F = (-1, 6)
G = (3, 4)
FG² = (-1 - 3)² + (6 - 4)² = 16 + 4 = 20
FG = sqrt(20) = 4.472135955... ≈ 4.5
so, A is the right answer.
5.
that creates a right-angled triangle, with the flag pole and the distance on the floor to the flag pole as the legs, and the rope as Hypotenuse.
rope² = 53² + 28² = 3593
rope = sqrt(3593) ≈ 60 ft
6.
A
85² = 36² + 77²
7225 = 1296 + 5929 = 7225
correct. this is a right-angled triangle.
B
101² = 99² + 20²
10201 = 9801 + 400 = 10201
correct. this is a right-angled triangle.
C
123² = 120² + 27²
15129 = 14400 + 729 = 15129
correct. this is a right-angled triangle.
D
42² = 33² + 24²
1764 = 1089 + 576 = 1665
incorrect.
1764 - 567 = 1089 ?
1197 = 1089
also incorrect.
as is 1764 - 1089 = 567 and 1089 - 567 = 1764
so, this is not a right-angled triangle.
7.
the sum of all angles in a triangle (also in general triangles) is always 180 degrees.
since the right angle is already 90 degrees, it leave only 90 degrees for the other 2 angles.
A is the only correct option. 25 + 65 = 90.
8.
BC = 13
AC = 3
AB² = AC² + BC² = 3² + 13² = 9 + 169 = 178
AB = sqrt(178) = 13.34166406... meter
the tree was then originally
3 + 13.34166406... = 16.34166406... meter high
12.1.1
35² = 21² + side²
side² = 35² - 21² = 1225 - 441 = 784
side = sqrt(784) = 28 m
12.1.2
side² = 16² + 30² = 256 + 900 = 1156
side = sqrt(1156) = 34 ft
12.2.3
61² = 60² + 11²
3721 = 3600 + 121 = 3721
correct. this is a right-angled triangle.
12.2.4
40² = 37² + 9²
1600 = 1369 + 81 = 1450
incorrect. this is not a right-angled triangle.
neither is 1600 - 1369 = 81 nor 1600 - 81 = 1369 nor 1368 - 89 = 1600
12.2.5
38² = 35² + 15²
1444 = 1225 + 225 = 1450
incorrect. this is not a right-angled triangle.
neither is 1444-1225=225 nor 1444-225=1225 nor 1225-225 = 1444
12.2.6
53² = 45² + 28²
2809 = 2025 + 784 = 2809
correct. this is a right-angled triangle.
12.3.8
the x and y coordinate differences between A and B are 6 and 3.
AB² = 6² + 3² = 36 + 9 = 45
AB = sqrt(45) = 6.7
12.3.9
the x and y coordinate differences between B and C are 1 and 7.
BC² = 1² + 7² = 1 + 49 = 50
BC = sqrt(50) = 7.1
12.3.10
the x and y coordinate differences between A and C are 5 and 4.
AC² = 5² + 4² = 25 + 16 = 41
AC = sqrt(41) = 6.4
final question : you need that in many distance calculations, side lengths, diagonals, heights,... for rooms, yards, acres, buildings, mountains, ...
Complete the table for the given rule.
Rule: y=x-1/4
help me please ^^ I'm getting my grades to all A's for a honerole
Answer:
A
Step-by-step explanation:
2. There is a 0% chance that the earth is the closest planet to the sun.
A) unlikely
B) certain
C) likely
D) impossible
Answer:
D) Impossible
Step-by-step explanation:
Unlikely = < 50%Certain = 100%Likely = > 50%Impossible = 0%This would be B. It is certain that there is a 0% chance of the earth being the closest planet to the sun. Mercury is the closest. Earth is the third closest behind Mercury and Venus. Hope that helps.
Philip has $5,774 in a savings account. The interest rate is 13%, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
(compound interest formula)
[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 5774(1 + \frac{13}{100} ) ^{1 \times 5} - 5774 \\ \sf= 5774 \times ( \frac{113}{100} ) ^{5} - 5774 \\ \sf= 10638.22 - 5774 \\ \sf = 4864.22[/tex]
Answer:
$4864.22 (approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is the height of the box?
A. 15 in.
B. 30 in.
C. 50 in.
D. 100 in.
A line passes through (-3, -2) and is perpendicular to 3x - 2y = 7.
What is theFind the image of A(6, -4) after it is reflected over the line y = - 2, then reflected over the line x = 1.
(-4, -4)
(-4, 0)
(6, 2)
(-4, 6)
A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated beach ball?
Answer:
3,052 cubic inches
Step-by-step explanation:
·· A beach ball has a spherical shape
·· Formula to calculate the volume of a sphere is given as:
In the question, we are given
Diameter = 18 inches
We have to find the radius
Radius = Diameter/2
Radius = 18 inches/2
Radius = 9 inches
The volume of the beach ball =
= 3,052.08 cubic inches
Approximately to the nearest whole number = 3,052 cubic inches
What is the value of the digit in the ten thousands place?
16,985,717
A. 90,000
B. 8,000
C. 10,000,000
D. 80,000
Answer:
D. 80,000
Step-by-step explanation:
A tip might be to read the number outloud and then the answers to see the similarities.
Hope this is helpful :)