Answer:
y=11
Step-by-step explanation:
A golfer hits a ball from an elevated tee 75 feet high at an initial velocity of 115 ft/sec at angle of elevation of 57⁰ a. Write a parametric equation that describes the position of the ball at time t.
x=115tcos57
y=115tsin57-16t^2
ALEKS Knowlege Check:
Evaluate the expressions.
Answer:
1, -1
Step-by-step explanation:
(-2/3)⁰
Anything that is raised to the power of 0 automatically becomes the value 1. Knowing this, apply the exponent.
(-2/3)⁰ = 1
-(7)⁰
Now using what we know, apply the exponent to the 7.
-(7)⁰ = -1
Notice that the negative is NOT inside the parenthesis and therefore does NOT get affected by the power.
5 aplicaciones de notación científica en la vida cotidiana
Answer:
In scientific notation:
The first number in the mathematical equation is called the "coefficient." The coefficient must be greater than or equal to one and less than 10. For example to create the scientific notation for the number 256, the coefficient would be 2.56.
The second number in the equation is a power of 10, written as 10 with an exponent, like 102 which stands for 10 x 10.
Combining these two numbers would create this scientific notation equation for 256 - 2.56 x 102.
A negative exponent shows the decimal is moved that many places to the left and a positive exponent shows the decimal is moved that many places to the right.
Scientific Notation Examples
Here are examples of scientific notation:
1 = 100
10 = 1 x 10¹
100 = 1 x 10²
1000 = 1 x 10³
10000 = 1 x 104
100000 = 1 x 105
42,000,000 = 4.2 x 107
676,000,000,000 = 6.76 x 1011
0.1 = 1 x 10-1
0.01 = 1 x 10-2
0.001 = 1 x 10-3
0.0001 = 1 x 10-4
0.00001 = 1 x 10-5
0.00000078 = 7.8 x 10-7
0.000000000000000 = 3.56 x 10-13
Real Life Examples of Scientific Notation
Explore how scientific notation is used to express large numbers.
7 x 109 = Population of the world is around 7 billion written out as 7,000,000,000
1.08 x 109 = Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour
2.4 x 105 = Distance from the Earth to the moon is 240 thousand miles or 240,000 miles
9.3 x 107 = Distance from the Earth to the sun is 93 million miles or 93,000,000 miles
3.99 x 1013 = Distance from the sun to the nearest star (Proxima Centauri) is 39,900,000,000,000 km
9.4605284 × 1015 = Distance light travels in a year is less than 9.5 trillion kilometers, or exactly 9,460,528,400,000,000 km
1.4 x 108 = Amount of water surface area on the Earth is 140 million square miles or 140,000,000 square miles
1.0 x 1014 = Approximate number of cells in the human body is 100 trillion or 100,000,000,000,000
1.332 x 10-3 = Density of oxygen is 1332 millionths g per cc or .001332 g per cc
2.4 x 10-3 = Diameter of a grain of sand is 24 ten-thousandths inch or .0024 inch
7.53 x 10-10 = Mass of a dust particle is 0.000000000753 kg
9.1093822 × 10-31 = Mass of an electron is 0.00000000000000000000000000000091093822 kg
4.0 x 10-7 = Length of the shortest wavelength of visible light (violet) is 0.0000004 meter
Find the area of the shaded region
Answer:
Area of square - area of circle
Step-by-step explanation:
se the number line to answer the question.
A number line has end points marked at 5 tenths and 6 tenths with 9 tick marks between. Point A is labeled on the third mark after 5 tenths.
Select all of the following that give the value of point A.
A.
53
100
B.
5
3
100
C.
53
10
D.
0.53
E.
5.3
Answer:
[tex]\sf 0.53\quad and \quad \dfrac{53}{100}[/tex]
Step-by-step explanation:
Convert the end points to decimals:
[tex]\textsf{5 tenths}=\dfrac{5}{10}=5 \div 10=0.5[/tex]
[tex]\textsf{6 tenths}=\dfrac{6}{10}=6\div 10=0.6[/tex]
If the number line has 9 tick marks between the endpoints, there will be 10 equal spaces (see attachment), so the tick marks denote hundredths.
The difference between 0.6 and 0.5 = 0.1
Divide this by 10: 0.1 ÷ 10 = 0.01
Therefore, each tick mark on the number line denotes hundredths and is 0.01 greater than the previous tick mark.
If Point A is labeled on the third mark after 5 tenths then:
A = 0.5 + 0.01 + 0.01 + 0.01 = 0.53
0.53 as a fraction:
[tex]\implies 0.53 = \dfrac{0.53}{1}=\dfrac{0.53 \times 100}{1 \times 100}=\dfrac{53}{100}[/tex]
Therefore, point A is:
[tex]\sf 0.53\quad and \quad \dfrac{53}{100}[/tex]
Answer: i need points
Step-by-step explanation:
Select the correct answer.
Which statement is true about this equation?
A.
It represents neither a relation nor a function.
B.
It represents a function only.
C.
It represents both a relation and a function.
D.
It represents a relation only.
Answer:
Once the equation is given, the question can be answered, with no equation, no one can find the answer
Step-by-step explanation: I will edit my answer when the equation is given
Answer: a
Step-by-step explanation:
Two consecutive numbers have a sum of 107. What is the larger of the two numbers?
Answer:
54
Step-by-step explanation:
54 + 53 = 107
54
[tex] \: \: \: \: \: \: \: \: \: \: \: \bold{54 + 53 = 107}[/tex]
Note : To solve a problem like this, all we have to do is find a number that matches the result, in this case it is [tex]\bold{54}[/tex] and [tex]\bold{53}[/tex]
[tex]\therefore[/tex] it gives us a result of [tex]\bold{107.}[/tex]
You pick a card at random.
1 2 3 4
567
What is P(not even)?
Write your answer as a fraction or whole number.
Answer:
p7
Step-by-step explanation:
If it includes 4 then 0.8, if not then 0.6.
I NEED HELP ASAP! PLEASE LET ME KNOW WHICH ONE
Step-by-step explanation:
3 parts in figure
1 cube and 2 hemispheres
surface area of cube = 6a^2= 6*144= 864 mm^2
surface area of hemisphere = 3*π*r^2 =108π
2 hemispheres = 214π mm^2
total surfaCe area = 1542 mm^2
The radius of a circle is 7 m. Find its circumference in terms of \piπ
Answer:
I think its 43.98 or 44 I think its one of those
Step-by-step explanation:
C=2πr=2·π·7≈43.9823
=2π(7)=2⋅722⋅7=2⋅22=44 cm.
What is the surface area of this triangular pyramid? 3 m 3 m 3 m 3 m 2.6 m
[tex]\stackrel{\textit{3 standing triangles}}{3\left[\cfrac{1}{2}(\stackrel{b}{3})(\stackrel{h}{3}) \right]}~~ + ~~\stackrel{\textit{triangular base}}{\cfrac{1}{2}(3)(2.6)}\implies 13.5~~ + ~~3.9\implies 23.4~m^2[/tex]
A number is chosen at random from 1 to 50. Find the probability of selecting numbers with a last digit of 9.
Answer:
10%
Step-by-step explanation: There are 5 numbers between 5 and 50 that end in 9. 5 is 10 percent of 50. Pls give brainliest.
QUICK HELP PLEASEEEE SOMEBODY PLEASE HELP
Answer:
Infinite answers is the correct answer
Step-by-step explanation:
Find the distance between the points (7,14) and (18,5).
Answer:
Exact distance = [tex]\sqrt{202}[/tex]
Approximate distance = 14.2127
==========================================================
Work Shown:
[tex](x_1,y_1) = (7,14) \text{ and } (x_2, y_2) = (18,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-18)^2 + (14-5)^2}\\\\d = \sqrt{(-11)^2 + (9)^2}\\\\d = \sqrt{121 + 81}\\\\d = \sqrt{202}\\\\d \approx 14.2127\\\\[/tex]
Note: I used the distance formula. Though you could plot the points, form a right triangle, and use the pythagorean theorem as an alternative route. The distance formula is effectively a modified version of the pythagorean theorem.
!!!!PLEASE HELP HAS TO BE DONE TODAY!!!!
What is the LCD of
45
015
03
05
8
15
-
ن
and 2/3/?
The answer would be B: 15.
f(x) = 2x + 3 and g(x) = 24 – X.
Solve the equation f(x) = g(14).
Answer:
x = 3.5
Step-by-step explanation:
f(x) = 2x + 3
g(x) = 24 – x
-> g(14) = 24 - 14
-> g(14) = 10
f(x) = g(14) (Given)
-> 2x + 3 = 10
-> 2x = 10 - 3
-> 2x = 7
-> x = 7/2
-> x = 3.5
Pls help me in this khan academy exercise
Answer:
x= 180° - (103°+33°)
x= 180° - 136°
x= 44°
What is the area, in square units, of a rectangle XWYZ, with vertices X(0, 0) W(0,7) Y (3,7) Z(3,0)?
Answer:
21
Step-by-step explanation:
A=LxW=7x3=21 The length was 7 and the width was 3.
Using the recurrence relation s(1) = 2 and s(2)=3, s(k) =s(k-1)+2s(k-2)+6, find the fourth term
Recurrence functions are used to preedict the subsequent value in a sequence. The fourth term of the sequence based on the recurrence relation is 25
How to find the recurrence relation of a function?Given the recurrence relations according to the question
s(1) = 2 and
s(2)=3
s(k) =s(k-1)+2s(k-2)+6
If s(1) = 2, hence;
s(3) =s(3-1)+2s(3-2)+6
s(3) = s2 + 2s1 + 6
s(3) = 3 + 2(2) + 6
s(3) = 13
Determine the fourth term:
s(4) =s(4-1)+2s(4-2)+6
s(4) = s3 + 2s2 + 6
s(4) = 13 + 2(3) + 6
s(4) = 25
Hence the fourth term of the sequence based on the recurrence relation is 25
Learn more on recurrence relation here: https://brainly.com/question/10636530
Bowling alley charges a fee for every game bowled plus initial fee for shoe rental.
Answer:
Whats the numbers can u give me them?
Step-by-step explanation:
NO LINKS!!
Determine if each statement is always, sometimes, or never true
Answer:
sometimessometimesalwaysStep-by-step explanation:
These questions can be answered by reference to the formulas for the volume of a cone, cylinder, and sphere.
__
ConeV = 1/3πr²h . . . volume depends on height as well as radius
Cones with the same radius will sometimes have the same volume. (When they have the same height.)
__
CylinderV = πr²h . . . volume depends on height as well as radius
Cylinders with the same radius will sometimes have the same volume. (When they have the same height.)
__
SphereV = 4/3πr³ . . . volume depends only on radius
Spheres with the same radius will always have the same volume.
Lets note the formulas first to make clear.
For cone
V=1/3πr²hFor cylinder
V=πr²hFor sphere
V=4/3πr³We can see
for first two
the volume depends upon the height hence if they have same radius then their volume may or may not be sameFor sphere
volume depends upon radius so if radius is same the volume is samePlease help! i’m horrible at math and i don’t want to fail!!! 6-1: MathXL for School: Practice & Problem Solving
Due 04/27/
5.1.PS-13
Question Help
A bag contains 9 white marbles and 54 red marbles. If a representative sample contains 2 white
marbles, then how many red marbles would you expect it to contain? Explain.
Because the ratio of white marbles to red marbles is in the population, the expected number of
red marbles is times the number of white marbles in the representative sample. There should be
red marbles.
Answer:
12 red marbles
Step-by-step explanation:
9/4.5 to get 2 white marbles
54/4.5 to get 12 white marbles
13 yd
10 yd
8 yd
What is the area in square yards
Answer:520 yd
Step-by-step explanation:
multiply 13 x 10 x 8 then divide by 2
I think
Do these for me pls
Answer:
1) C or B
2) J
3) C
4) J
Step-by-step explanation:
1) I am not sure but I think you start with the x so that is -5 then y which is 7 so y= 5/7x - 5 or y= 7/5x - 5
2) The graph always starts at the origin (0.0) that where the line should be put
3) 39 in + 78 in = 117 in
4)
2/3.5 = 0.57
4/7 = 0.57
6/9 = 0.57
7/12 = 0.57
A triangle has an angle that measures 44.3 and another that measures 52.4" What is the measure of the third angle
The measure of the third angle, if the other angles measure 44.3 and 52.4, is 83. 3 degrees.
How to determine the angle?To determine the angle, we need to know the following;
The sum of the interior angles of a triangle is 180 degreesAlternating angles are equalCorresponding angles are equalSupplementary angles sum up to 180 degreesComplementary angles sum up to 90 degreesThen, from the information given, we have that;
A triangle has an angle that measures 44.3 and another that measures 52.4"
Then, we get; x + 52.4 + 44.3 = 180
collect the like terms'
x = 180 - 96.7
x = 83. 3 degrees
Learn about angles at: https://brainly.com/question/25716982
#SPJ2
Describe the pattern
Answer:
negative linear
Step-by-step explanation:
as you see the correlation is going negative in a linear line.
Which expression shows 48 + 36 written as a product of two factors
Answer:
12(4+3)
Step-by-step explanation:
Need Help ASAP! no links please
Answer:
c
Step-by-step explanation:
Each of the five spaces on the spinner are equal so the theoretical probability for one space (Q) is 1/5. For the experimental probability, they spun it 15 times and 4 times it landed on Q so 4/15 times.
Determine the equation for a circle in standard form with a radius of 18, and center (18,-18).
Answer:
(x-18)²+(y+18)²=18².
Step-by-step explanation:
1) the formula is: (x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates of the centre, r - the length of the radius;
2) according to the formula above:
(x-18)²+(y+18)²=18².
Nine of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are to be put in two groups so that the sum of the numbers in each group is a multiple of four.
What is the largest number that could be left out?
Answer:
13,62,75,48,1092
Step-by-step explanation:
1+3=4, 6+2=8, 7+5=12, 4+8=12& 1+0+9+2=12.