The position of a body moving along a coordinate line at
time t is s = (4 + 6t)3/2, with s in meters and t in seconds. Find
the body's velocity and acceleration when t = 2 sec.
And Describe the motion of the body.
Step-by-step explanation:
s=(4+6t)3/2
t=2s
t is seconds
s is meters
s=(4+6×2)3/2
=(4+12)3/2
=16×3/2
s=24m
Just look at the picture lol.....The equations of three lines are given below. Line 1: 8x-6y=-2 3 Line 2: y=-x-5 4 Line 3: 4y=-3x+3 For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: Parallel O Perpendicular O Neither Х Line 1 and Line 3: O Parallel O Perpendicular O Neither Line 2 and Line 3: Parallel O Perpendicular Neither
Answer:
Step-by-step explanation:
We will use the following steps to solve this problem,
Step - (1).
Covert the equations into slope-intercept form.
Step - (2)
If the slopes of the two lines are equal, lines will be parallel.
[tex]m_1=m_2[/tex]
Step - (3)
If the slopes of the two lines are negative reciprocal, lines will be perpendicular.
[tex]m_1\times m_2=-1[/tex]
Line 1: 8x - 6y = -2
6y = 8x +2
y = [tex]\frac{4}{3}x+\frac{1}{3}[/tex]
Slope of line 1 = [tex]m_1=\frac{4}{3}[/tex]
Line 2: y = [tex]-\frac{3}{4}x-5[/tex]
Slope of line 2 = [tex]m_2=-\frac{3}{4}[/tex]
Line 3: 4y = -3x + 3
y = [tex]-\frac{3}{4}x+\frac{3}{4}[/tex]
Slope of line 3 = [tex]m_3=-\frac{3}{4}[/tex]
1). Since, [tex]m_1\times m_2=\frac{4}{3}\times (-\frac{3}{4})=-1[/tex]
Line 1 and line 2 are perpendicular.
2). Since, [tex]m_1\times m_3=\frac{4}{3}\times (-\frac{3}{4})=-1[/tex]
Line 1 and line 2 are perpendicular.
3). Since, [tex]m_2=m_3=-\frac{3}{4}[/tex]
Line 2 and line 3 are parallel.
sina=3/5 find cos2a
Answer:
[tex] \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } [/tex]
Step-by-step explanation:
[tex] \because \cos2a =1 - 2 { \sin}^{2} a \\ \\ \therefore \cos2a =1 - 2 \bigg( { \frac{3}{5} }\bigg) ^{2} \\ \\\therefore \cos2a =1 - 2 \times \frac{9}{25} \\ \\\therefore \cos2a =1 - \frac{18}{25} \\ \\\therefore \cos2a = \frac{25 - 18}{25} \\ \\ \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } \\ \\[/tex]
The first time a census was taken in Michele Corners, the population was 1772. Each year after that, the population was about 9% higher than it was the previous year.
Sketch the graph that represents the situation. Let x represent the number of years since the first census was taken.
What are the coordinates of the point that contains the y-intercept?
A. ( 1772, 0)
B. ( 1, 1772)
C. ( 0, 1772)
D. ( 1772, 1)
Answer:
i'm 95% sure that it is D
Step-by-step explanation:
don't be mad if i'm wrong
do this yaayayyayaya brainliest for all thanks so much!!
Answer: -5 - (-10 )= 5
Step-by-step explanation:
The arrows on the number line stops at -5 and -10 so you subtract -5 minus -10 and get your anwser 5
Jenny is renting a moving truck. She will have to pay a one-time fee for insurance coverage and pay the daily rate for the truck each day she uses it. The total cost of renting the truck in terms of the number of days the move will take can be modeled by the equation: y = 100x + 85. A. What is the slope? B. What is the y-intercept?
Answer:
Slope is 100
y-intercept is 85
Step-by-step explanation:
The equation of a straight line can be modeled according to the function;
y = mx + c
where m is the slope and c is the y-intercept
comparing what we have ;
y = 100x + 85 with the standard form ;
Slope will be 100 and y-intercept is 85
Estimate by rounding both numbers to hundreds and then divide.
76 ÷ 57 is approximately
Answer:
80 / 60 = 1.3 approximately
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
76 → 10057 → 100Divide: 100 ÷ 100 = 1I hope this helps!
A solid cylindrical metal is melted and recast into cubes of metal of side 3cm the base radius of the initial cylindrical metal is 10.5 and height is 63cm . how many cubes will be Madeline
Answer:
A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initi… Get the answers you need, ... is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical metal is 10.5cm and height is 63cm. How many cubes will be made.
Step-by-step explanation:
hope this is right!
What value of x satisfies the equation below? Explain
how you know
-3x = 15
Answer:
x = -5
Step-by-step explanation:
ASAP need answer I will give brainliest check out the picture
Answer:
Step-by-step explanation:
Bisect means in half so both angles equal each other, meaning the equations equal each other.
2x+7 = 4x-9
Subtract 4x from both sides
-2x+7 = -9
Subtract 7 from both sides
-2x = -16
x = 8, so the answer is the third choice
Bisect means in half so both angles equal each other, meaning the equations equal each other.
2x+7 = 4x-9
Subtract 4x from both sides
-2x+7 = -9
Subtract 7 from both sides
-2x = -16
x = 8, so the answer is the third choice
Please help!!!!!! ASAP!!!!!!!!
Answer:
Step-by-step explanation:
Answer:
2. m∠4 + m∠5 = 210°
3. Alternate interior angles theorem.
4. 2 × m∠4 = 210°
5. 105°
Step-by-step explanation: i hope this helped youuuuuu have a wounderful thanksgiveing eat alot of food and you get to sleep in Imao!!!!
Estimate to the nearest integer.
21
O 3
O 4
O 5
Answer:
5
Step-by-step explanation:
So the square root of 21 is 4.582...
If you round 4.582.. it is 5
Because you look at the first number behind the decimal (tenths place) if it is 4-0 you leave the number the same. If it is 5-9 you increase the number by 1.
Hope this helps ya!!
question below :) i suck at math
Step-by-step explanation:
You plug g(3) into the equation like this
g(3) = -x - 2
helpp evaluate the expression -8 x 1/4 ÷ -2/3
Answer:
3
Step-by-step explanation:
is (7, 3), (8, 6), (9, 9), (10, 12) a function
Given 1 || m ||
n, find the value of x.
m
140°
n
(8x+12)
Answer:
x = 16
DISREGARD 16.5 MY BAD the answer is 16
Step-by-step explanation:
140 = 8x+12
Subtract 12 on both sides
128 = 8x
Divide by 8
16 = x
x = 16
Answer:
x = 16
Step-by-step explanation:
(8x + 12)° = 140°
8x + 12 = 140
8x = 128
x = 128 ÷ 8
x = 16
Whats 9 less than the product of 9 and a number
Answer:
9x-9
Step-by-step explanation:
9 and a product of a number is 9x, and less 9 is 9x-9.
Hope this helps :D
Solve the system by elimination.
2x-5y=8
x-3y=-1
Answer:
hope this helps you dear
can I have topics for STEAM (Science, Technology, Engineering, Art, Math) It must be a real-life problem and I have to figure out a solution and the solution must include Science, Technology, Engineering, Art, Math in it. If you have any ideas please help thank you.
Answer:
See below.
Step-by-step explanation:
I find autonomous robotics and fuzzy-related topics interesting. But it must include all the topics? I mean, Art as well? In the field of robotics, some interesting approaches involve building robots capable of moving in cluttered environments, places with humans efficiently. In this context the study of mapping algorithms and computer vision is interesting.
A factory makes
575,000
candies per day. If each machine in the factory produces the same amount of candies per day, and there are
20
machines in the factory, how many candies does each machine produce per day?
Answer:
Each machine would produce 28,750 candies per day. hope it helps
i will give 100 pionts and branlyest to anyone who gits this right
If a scale drawing uses a scale of 1:12, then 2 1/2 inches on the model represents 2 1/2 feet. TrueFalse
Answer:
true
Step-by-step explanation:
help 6th grade math i will give brainliest
Answer: A) 175%
B) 260%
C) 171.43%
Step-by-step explanation:
Answer:
1.4/3
2.13/5
3.12/7
Step-by-step explanation:
Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the drivers are given.
- Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05 seconds.
- Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12 seconds.
- Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds.
Which driver do you predict will win the next drag race? Support your prediction using the mean and standard deviation.
Answer:
Driver B
Step-by-step explanation:
From the given options, Driver B will win the next race because the previous result shows that Driver B has the fastest race time due to the fact that it recorded the lowest mean race time.
Similarly, the standard deviation of 0.12 seconds illustrates that the driver keep-up with the bearest minimum time frame all through the entire race time.
Answer:
It is B and the other one is Driver C if you have that question
Step-by-step explanation:
Rearrange the formula
Help pls !!
Brendon sells tires at the local auto parts store. He told a customer that the tire width for a new tire was 21.5 centimeters. Which of the following describes the tire width for the new tire? please help thank you!!!
A)21.5 feet
B)215 inches
C) 21.5 meters
D)215 millimeters
Answer:
Choice D
Step-by-step explanation:
When you convert a unit to a smaller unit it will always get bigger so in this case you will move the decimal point to the right so 21.5 will become 215.
Answer:
D) 215 millimeters
Step-by-step explanation:
algebraic expression for 15 8/9 less than the product of 5 and a number b
Answer:
[tex]15\frac{8}{9}[/tex] < 5b
Step-by-step explanation:
15 8/9 less than the product of 5 and a number b
Product of 5 and a number b;
5 x b = 5b
Now,
[tex]15\frac{8}{9}[/tex] less than
[tex]15\frac{8}{9}[/tex] < 5b
The algebraic expression is [tex]15\frac{8}{9}[/tex] < 5b
When a number is less than another, the other number is greater.
find the L.C.M of the following
a.3and7
b.4and5
Answer:
a. 21
b. 20
Step-by-step explanation:
a. 3 and 7 are prime numbers, so their LCM is their product, 21
b.
4 = 2^2
5 = 5
LCM = 2^2 * 5 = 20
Answer:
a. 21
b. 20
Given the function below, what value will result in f(x)=10?
f(x)=1/2x+8
Mr. Neiland bought 12 tickets to a chili supper and spent a total of $60. He bought a combination of adult tickets for $10 each and child tickets $7 each. Which system of equations below will determine the number of child tickets, and the number of adult tickets, a, he bought?
Answer:
434.60
Step-by-step explanation:
Solve the equation.
4(z – 3) = 22
Answer: z=6
Step-by-step explanation:
4(z-3)=2z
4z-12=2z subtract 2z from both sides
2z-12=0 add 12 to both sides
2z=12 divide 2 to both sides
z=6