Answer:
At t=2s the car reach its minimum speed
Minimum speed=8m/s
Step-by-step explanation:
We are given that velocity of car
[tex]v(t)=t^2-4t+12[/tex]
0<t<4
Differentiate w.r.t t
[tex]v'(t)=2t-4[/tex]
[tex]v'(t)=0[/tex]
[tex]2t-4=0[/tex]
[tex]2t=4[/tex]
[tex]t=2[/tex]
[tex]v''(t)=2>0[/tex]
The velocity is minimum at t=2 s
Substitute t=2
[tex]v(2)=2^2-4(2)+12[/tex]
[tex]v(2)=8m/s[/tex]
Hence, the speed of car is minimum at t=2 se and minimum speed of car=8m/s
Suppose that J and K are points on the number line. If Jk=5 and J lies at -12 where could K be located?
k would be located at
A game is played with a circular spinner that contains 8 different colors. The design
of the spinner is the order in which the colors are arranged. How many ways can
this spinner be designed?
Answer:
64 ways
Step-by-step explanation:
there are 8 different colors, with 8 different possibilities on the color arrangement.
A cereal box says that it now contains 25% more cereal. If it originally had 12 ounces of cereal, how much does it have now?
Answer:
15
Step-by-step explanation:
Answer:
21 ounces.Step-by-step explanation:
This is percentage increase.In order to find that, we simply do:
(100+25)% = 125%
100% = 12 ounces
125% = ?
12*125/100 = 9 ounces
Add it up to the original amount:
12+9 = 21 ounces
What is the distance between the points (6,2) and (1,-5)
PLEASE ANSWER QUICK
Answer:
[tex]\displaystyle d = \sqrt{74}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 2) → x₁ = 6, y₁ = 2
Point (1, -5) → x₂ = 1, y₂ = -5
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{74}[/tex]In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree
Answer:
M= 16.8868 ≈ 16.9
Step-by-step explanation:
Find the approximate circumference, in terms of π, of chicken pie that had a radius of 3.25 inches.
A) 3.25 πin.
B) 6.5 πin.
C) 20 πin.
D) 1.625 πin.
Answer:
B
Step-by-step explanation:
I Had this
Factor the common factor out of each expression 64p - 24
Answer: 8(8p-3)
Step-by-step explanation:
64p and 24 are both divisible by 8
64p/8 = 8p
24/8 = 3
8(8p) - 8(3)
Distributive property
8(8p-3)
PLZ HELP ASAP
What is the length of MN? Round your answer to the tenths.
Answer:
Can you put the picture of the triangle up
Step-by-step explanation:
I'll change my answer then
DON'T REPORT ME
Answer:
i need a picture to awnser your question
Step-by-step explanation:
Does anyone know where I can find revision questions that will help me in my maths Gcse?
Step-by-step explanation: amazon they have everything
Can someone help me with this I need help
Answer:
d)550
15 * 10 = 150; 150 * 2 = 300
5 * 10 = 50; 50 * 2 = 100
5 * 15 = 75; 75 * 2 = 150
300 + 100 + 150 = 550
can anyone help me please?
Answer: I think it might be A bit Im not sure
Step-by-step explanation:
Answer:
i think its A not suree
Step-by-step explanation:
Find the slope y = 6x-1
Answer: the slope should be 6 I’m sure
Step-by-step explanation:
Answer:
y
=
−
6
x
−
1
Step-by-step explanation:
x-1
Please answer soon!!!
Answer:
Answer is A easy A A A A A A A
Please help me with this work
Answer:
1. (5y) = 35
2. (6y) = 1
3. (4y) = 2
4. (11y) = 15
5. 18, 24, 42, 60
The number of miles Henry rides his bike in 10 days is 60miles
Step-by-step explanation:
solve the system of equations 5x+3y=5 5x+7y=25
Answer:
(-2,5)
Step-by-step explanation:
2^x=1/128 solve the equation
Answer:
x = − 7
Step-by-step explanation:
y = 4.5*x^2-9*x+8.5;4.5;-9;8.5
-(((-9)^2-(4*4.5*8.5))/(4*4.5))
-(-9/(2*4.5))
4.5*0^2-(0*9)+8.5
(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))
What is the equation of the line that passes through the point (−1,−1) and has a slope of −6?
Answer: y= -6x -7
Step-by-step explanation:
Point slope formula : y-y1=m(x-x1)
y- (-1)=-6(x- (-1))
y+1= -6(x+1)
y+1= -6x-6
y+1-1=-6x-6-1
y=-6x-7
Standard from 6x+y=7
Someone please help me I’ll give out brainliest please dont answer if you don’t
negative 5x plus 4y equals 3 i need x and y please
Answer:
x = 9
y = 12
Step-by-step explanation:
-5x + 4y = 3
x = 2y - 15
Manipulate the equations such that the coefficients of two variables are additive inverses
-5x + 4y = 3
x = 2y - 15
Inverse operations
-> 4y - 3 = 5x
-> 2y - 15 = x (*(-5))
->4y - 3 = 5x
-> -10y + 75 = -5x
Now add the equations to eliminate a variable,
4y - 3 = 5x
-10y + 75 = -5x
-6y + 72 = 0
Inverse operations
-6y + 72 = 0
72 = 6y
/6 /6
12 = y
Back solve to find (x)
2y - 15 = x
2(12) - 15 = x
24 - 15 = x
9 = x
XYZ has vertices X(3. -4), Y(6, 5), and Z(8, -2).find the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4
The coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, XYZ has vertices X(3, -4), Y(6, 5), and Z(8, -2).
Scale factor = 4
Here, X(3, -4)→4(3, -4)→X'(12, -16)
Y(6, 5)→4(6, 5)→Y'(24, 20)
Z(8, -2)→4(8, -2)→Z'(32, -8)
Therefore, the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ2
A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions by 2 inches by 2 inches by 2.7 inches
What is the volume of the computer?
Answer:
10.8 in³
Step-by-step explanation:
2x2x2.7=10.8
(giving brainiest)
answer this correctly
Answer:
A =224 in ^3
Step-by-step explanation:
Answer:
56in squared
Step-by-step explanation:
Subtract. (−2+5i)−(−2+9i) Enter your answer in the box.
Answer:
-4i
Step-by-step explanation:
Answer:
14i
Step-by-step explanation:
(-2+5i)-(-2+9i)
remove () because they are unneeded
-2+51--2+9i
-2+5i+2+9i
0+14i
14i
solve the following equation for a a-32=47
Answer:
5
Step-by-step explanation:
because use the calculator pls ......................
write the place value of the 5 in each number. a) 1 325
Answer:
Place Value of 5 in 1325 is 'Thousands'
solve the system of equations by using substitution
y=2x-2
2x+y=10
The probability of choosing a green sweet at random from the bag is 1/12.
Please see the picture, I need to answer that question.
Answer:
2 times became that's correct
15x120 helppp what is this and how do u get the answer
Answer:
if this is regular multiplication the answer is 1,800
Step-by-step explanation:
can somebody help me please
Given parameters :
Camille is 7 years older than Donny Donny is 4 years younger than TommyTo find :
Total ages of the three peopleSolution with details :
Let us take the age of Donny as x years - i
According to the given question we have ,
Camille's age = x + 7 yearsTommy's age - 4 = Donny's age Tommy's age = Donny's age + 4Tommy's age = x + 4 ( from i )Total ages of three people = Sum of their ages
Camille's age + Donny's age + Tommy's age x + 7 + x + x + 4 3x + 11You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?