Answer:
2.5m/s²Step-by-step explanation:
Using the equation of motion S = ut + 1/2at² where;
S is the distance travelled = 20m
u is the initial velocity = 0m/s (car starts from rest)
a is the acceleration = ?
t is the time taken = 4s
To get the acceleration of the car, we will substitute the given parameters into the given equation.
S = ut + 1/2at²
20 = 0(4)+1/2a(4)²
20 = 0+ a/2*16
20 = 8a
divide both sides by 8
20/8 = 8a/8
20/8 = a
a = 20/8
a = 2.5m/s²
Hence the acceleration of the car is 2.5m/s²
he inverse of F(C) = 9 5 C + 32 is C(F) = F −
Answer:
C(F) = 5/9 F − 160/9
Step-by-step explanation:
[tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).
The given function is:
[tex]f(c) = \frac{9}{5} c +32[/tex]
What is the inverse of a function?If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).
[tex]f(c) = \frac{9}{5} c +32[/tex],
let us suppose [tex]y= \frac{9}{5} c +32[/tex]
[tex]y-32 = \frac{9}{5} c[/tex]
[tex]c = \frac{5}{9} (y-32)[/tex]
[tex]c = \frac{5}{9} (f(c)-32)[/tex]
In order to get the inverse function, interchange c and f(c),
[tex]f(c) = \frac{5}{9} (c-32)[/tex]
Therefore, [tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).
To get more about inverse functions visit:
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What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary. (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)
Answer:
(1.2, –4.7)
Step-by-step explanation:
Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)
Also, the ratio of A to B is 5:8
Based on this, the x and y coordinates at point C is
[tex]= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}][/tex]
= (1.2, –4.7)
Hence, the x and y coordinates of point C is (1.2, –4.7)
Therefore the last option is correct
Answer:
D
Step-by-step explanation:
The sum of x and 7 is less than -3
Answer:
[tex]x+7<-3[/tex]
Step-by-step explanation:
Sum = +
Less than = <
Merge all together accordingly you get ;
[tex]x +7<-3[/tex]
If you solve the equation , you will get;
x<-10
If 1/3 of a bag of fertilizer will cover 1/9 of a lawn, how many bags of fertilizer are needed for the entire lawn?
Answer:
3 bags
Step-by-step explanation:
9*(1/3 bag) = 3 bags
Clint and Jim rode their bicycles to Mill Park at an average of 8 mi/hr. It took then 1 hr longer to return home riding at an average of 7 mi/hr on a route that was 4 mi longer than their route. How long were they riding their bicycles? How man miles did they ride each way?
Answer:
Total time for which they ride = [tex]\bold{7\ hours}[/tex]
Number of miles they ride each way = 24 mi
Step-by-step explanation:
Average speed = 8 mi/hr
Let the Distance to Mill Park = [tex]D[/tex] mi
Let the time taken = [tex]t[/tex] hours
Formula:
[tex]Distance = Speed \times Time[/tex]
[tex]\Rightarrow D = 8t[/tex] ..... (1)
Now, when average speed = 7 mi/hr
Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours
Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi
Using the Formula:
[tex]Distance = Speed \times Time[/tex]
[tex]D+4=7\times (t+1)[/tex]
From equation (1):
[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]
From equation (1):
[tex]D = 8 \times 3 = 24\ mi[/tex]
Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]
Number of miles they ride each way = 24 mi
use the given tables to evaluate: f(g(1))
B) f(g(1))= -8 is your answer
The vertices of a triangle are listed below. E(-1, 2), F(-5, -1), G(-1, -4) What is the area of the triangle? A. 24 square units B. 12 square units C. 16 square units D. 6 square units
Answer:
B. 12 square units
Step-by-step explanation:
Answer: 12 square units
Step-by-step explanation: 1/2(6)(4)
The daily production cost, C, for x units is modeled by the equation:
C = 200 – 7x + 0.345x2
Select all that apply.
To which sets does
belong?
5/8
real numbers
rational numbers
Irrational numbers
Integers
whole numbers
natural numbers
Answer:
real, rational
Step-by-step explanation:
The set to which the fraction 5/8 belongs to are real numbers and rational numbers.
What are real numbers and rational numbers?A real number is a number that is both a rational number and an irrational number. A rational number is a number that can be expressed as a fraction of two integers
Examples of rational numbers are 1, 0, - 1, 5/8.
To learn more about rational numbers, please check: https://brainly.com/question/20435423
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what is the pattern in the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21,
HELP PLEASE !
ASAP
a=
b=
c=
Answer:
a = 0, b = 6, c = 4
Step-by-step explanation:
Given
f(x) = - x² + x + 6 , then
f(- 2) = - (- 2)² + (- 2) + 6 = - 4 - 2 + 6 = 0 ← a
f(0) = 0 + 0 + 6 = 6 ← b
f(2) = - (2)² + 2 + 6 = - 4 + 2 + 6 = 4 ← c
Answer:
a = 0
b = 6
c = 4
Step-by-step explanation:
f(x) = -x² + x + 6
a = -(-2)² + (-2) + 6 = 0
b = -(0)² + (0) + 6 = 6
c = -(2)² + (2) + 6 = 4
Point G is on line segment FH. Given FG = 4 and FH = 20, determine the
length GH
Answer:
16
Step-by-step explanation:
20-4=16
Answer question 8,9 and 10 with full details.
Answer:
See Explanation
Step-by-step explanation:
8. (1)
Area of trapezoid = 1/2(sum of || sides) *perpendicular distance
36 =1/2(x+ y) * 6
36 = ((x + y)*3
36/3 = x + y
12 = x + y
x + y = 12.... (1)
8(2)
It is given that:
x = 2y....(2)
From equations (1) & (2)
2y + y = 12
3y = 12
y = 12/3
y = 4
From equation (2)
x = 2y = 2*4
x = 8
9.
Area of square = 1 square m
Side of square = 1 m
Area of circle = 1 square m
[tex]\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54[/tex]
Can somebody help?
Answer:
a its the first one
Step-by-step explanation:
because i did the math and i have dont this question before
Answer:
Angles 1 and 2 are supplementary
Step-by-step explanation:
cuánto es 0.45 de 50=
Answer:
es 0.225 ... I believe so
Jack wants to purchase a Wallet for $33. He currently has $18 . By how much money will he be in debt if he decides to borrow the difference ?
Answer:
$15 in debt
Step-by-step explanation:
Subtract 33 from 18
18 - 33
= -15
So, he will be $15 in debt
1/1 1/4 1/9 what's the pattern
Answer:
adding a fifth
Step-by-step explanation:
Answer:
adding a fifth
Step-by-step explanation:
duhhhhhhhhhhhh
33/3 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Number
Answer:
Rational Number
Step-by-step explanation:
A rational number is, by definition, a number that can be expressed as the quotient or fraction of p/q of two integers, a numerator p and a non-zero denominator q. 33/3 is a fraction of p/q of two integers, a numerator p, or 33, and a non-zero denominator q, or 3. This makes 33/3 a rational number.
I need help with #4 please! Thank you!
Answer:
$54.25
Step-by-step explanation:64-9.75=54.75
Answer:64-9.75=54.25
Step-by-step explanation:
A sample of gold weighs 100 grams and has a volume of 5.18 cm'. What is the density of gold?
Given f(x) = -3x + 5, find f(-6).
Answer:
23
Step-by-step explanation:
Since it says f(x) that means that when we see f(-6) we are substituting x for -6.
This means that the equation will become
f(-6) = -3(-6) + 5
First multiply -3 and -6 (18)
f(-6) = 18 + 5
Next add 18 and 5 (23)
This means that f(-6) = 23
23
This problem is basically asking you to plug in -6 for x and solve using the order of operations (PEMDAS)
[tex]f( - 6) = - 3( - 6) + 5[/tex]
[tex]f( - 6) = 18 + 5[/tex]
[tex]f( - 6) = 23[/tex]
30 1 5 miles in 2 3 of an hour. What is the average speed, in miles per hour, of the car?
Answer:
131.086
Step-by-step explanation:
There were 73 runners from 2 schools on a combined track team. If 31 were
from Edison Elementary, how many were from Lincoln Elementary? Write and
solve an algebraic equation.
Answer:
s=(73-31)
31+s=73
s= 42
Step-by-step explanation:
In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.
Boyle's Law states that the volume of a fixed amount of gas (at constant temperature) is inversely proportional to the pressure of the gas. A pressure of 46 pounds per square inch (psi) has a volume of 360 cubic feet. What is the particular equation that represents the problem situation?
Step-by-step explanation:
According to Boyle's law,
[tex]$ V \propto \frac{1}{P} $[/tex]
or [tex]$ V = \frac{k}{P} $[/tex] , where k is the proportionality constant
Given that volume is 360 cubic feet and the pressure is 46 psi.
Therefore, replacing V with 360 cubic feet and P with 46 psi in the above equation gives
[tex]$ 360 = \frac{k}{46} $[/tex]
(360)(46) = k
k = 16560
Simplify: (use order of operations)
18 ÷ 2 - (98÷2) + 48
*remember to explain your steps!
Answer:
8
Step-by-step explanation:
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Simplify. 1/3(1−1/4)^2
Answer:
3
-
16
Step-by-step explanation:
Simplify 3/5 • 3/4 .
Answer:
9/20 as a faction as a decimal 0.45
Step-by-step explanation:
Simplify 3/5 • 3/4
I hope this help
Cassie is baking cookies from scratch. Her recipe calls for 7/8 of a cup of sugar per batch. If she is baking Just 2/3 of abatch of cookies, how much sugar should she use?
Answer
A
Step-by-step explanation:
Use the figure to write and solve an equation for x.
Answer:
x = 33
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
There are 4 circles and 20 triangles. What is the simplest ratio of circles to total shapes?
Answer:
1 :5Step-by-step explanation:
[tex]4\:circles\\20\:triangles\\\\Total\:shapes = 20+4 =24\\\\Circle : Total\:shape\\4 : 20\\\\Cross-cancel\:common\:factor ; 4\\4\div 4 =1\\20\div 4 =5\\\\= 1 :5[/tex]
Answer:
the answer is 1:5 bc if you do your time table connect it all it would be 1 to 5 sorry if you do this and it takes so long but hope this helped :)