Answers
Answer:
[tex] \boxed{\sf Time \ taken = 15 \ minutes} [/tex]
Given:
Initial speed (u) = 65 km/h
Final speed (v) = 85 km/h
Acceleration (a) = 80 km/h²
To Find:
Time taken for car to achieve a speed of 85 km/h in minutes
Step-by-step explanation:
[tex]\sf From \ equation \ of \ motion:[/tex]
[tex] \boxed{ \bold{v = u + at}}[/tex]
By substituting value of v, u & a we get:
[tex] \sf \implies 85 = 65 + 80t[/tex]
Substract 65 from both sides:
[tex] \sf \implies 85 - 65 = 65 - 65 + 80t[/tex]
[tex] \sf \implies 20 = 80t[/tex]
[tex] \sf \implies 80t = 20[/tex]
Dividing both sides by 80:
[tex] \sf \implies \frac{ \cancel{80}t}{ \cancel{80}} = \frac{20}{80} [/tex]
[tex] \sf \implies t = \frac{2 \cancel{0}}{8 \cancel{0}} [/tex]
[tex] \sf \implies t = \frac{ \cancel{2}}{ \cancel{2} \times 4} [/tex]
[tex] \sf \implies t = \frac{1}{4} \: h[/tex]
[tex] \sf \implies t = \frac{1}{4} \times 60 \: minutes[/tex]
[tex] \sf \implies t = 15 \: minutes[/tex]
So,
Time taken for car to achieve a speed of 85 km/h in minutes = 15 minutes
Related Questions
1A-MATH
Diviwuetalls
2 Exercise 7:
Your ansv
Type you
The three angles in a triangle are labeled A, B and C.
A = 2x
B= 3x
C=4x
Private coi
1) calculate X
2) find the actual angle of B
3) find the exterior angle to B
Answers
Answer:
Value of x = 20°
Angle B = 60°
Exterior angle to B = 300°
Step-by-step explanation:
Given:
Angles of triangle.
A = 2x
B = 3x
C = 4x
We know that,
A + B + C = 180°
2x + 3x + 4x = 180°
9x = 180°
x = 20°
Value of x = 20°
Angle B = 3x
Angle B = 3(20°)
Angle B = 60°
Exterior angle to B = 360° - 60°
Exterior angle to B = 300°
A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?
Answers
Answer:
1/2 a minute (30 seconds)
Step-by-step explanation:
475/50=9.5
450/50=9
9-9.5=.5
Barry has been watching the geese that live in his neighborhood. The number of geese changes each week. n f(n) 1 56 2 28 3 14 4 7 Which function best shows the relationship between n and f(n)? f(n) = 28(0.5)n f(n) = 56(0.5)n−1 f(n) = 56(0.5)n f(n) = 112(0.5)n−1
Answers
Answer:
B. f(n) = 56(0.5)^n-1
Step-by-step explanation:
First, You have to find out the starting population, if you look at the problem you see the population starts at 56
f(x) = 56
Second, you know that the population goes down 50% each week so it has a decay of 0.5
f(x) = 56(0.5)
Third, you need to add the exponent of n to make it exponential. But, if you just add n then the the population would be 28 on week 1 which is incorrect. To fix that you make the exponent n-1 so when you are on week 1 it doesn't become 28 but it stays on 56, and on week 2 it's 28, ect
f(x) = 56(0.5)^n-1
I NEED IN THE NEXT 10 MIN PLS. GRAPH ATTACHED WILL GIVE BRAINLIEST Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at five that ends at the open point 2, 5, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 3 and continues to the right. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..
Answers
Answer:
Step-by-step explanation:
You gave very clear instructions on how to draw this graph, so that's what I did. What you need to remember in particular with limits is that you do not care in the least what happens AT the x value of 2, only what happens as it is being approached. Because we are asked the limit as x is approaching from the left and the right, this is a one-sided limit question. In order for the limit to exist as x approaches 2 (NOT from the left or the right), the limit would have to agree from the left and the right, and this one doesn't. Having said that there is "a horizontal line crossing the y-axis at 5 that ends at the open point (2, 5)..." is a limit approaching x from the left. Therefore,
[tex]\lim_{x \to 2^-} f(x)=5[/tex]
Having also said there is "...another horizontal line starting at the open point (2, -3) and continues to the right..." is a limit approaching x from the right. Therefore,
[tex]\lim_{x \to 2^+} f(x)= -3[/tex]
The closed point at (2, 1) is where x IS, and remember that we don't care about what happens AT x. So disregard this point in limits.
Evaluate -3.28 - (-4.4) + (-p) where p = 9.7
Answers
Answer:
-8.58
Step-by-step explanation:
p = 9.7
=> -3.28 - (-4.4) + (-p)
=> -3.28 - (-4.4) + (- (9.7))
=> -3.28 - (-4.4) + (-9.7)
=> -3.28 - (-4.4) -9.7
=> -3.28 +4.4 -9.7
=> -12.98 +4.4
=> -8.58
Answer:
The evaluated answer for this equation is -8.58
Step-by-step explanation:
We are given a value of p so we will use this value for the equation.
-3.28 - (-4.4) + (-p)
Replace p with 9.7
-3.28 - (-4.4) + (-9.7)
Since there is a double negative in front of 4.4, then that means that we are going to be adding -3.28 to 4.4
1.12 + (-9.7)
Subtract 1.42 from 9.7 because there is negative sign in front of 9.7
-8.58
Which of the following lists of three numbers could form the side lengths of a triangle? A. 10, 20, 30 B. 122, 257, 137 C. 8.6, 12.2, 2.7 D. 1/2, 1/5, 1/6
Answers
Answer:
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle os greater than the third side.
■■■■■■■■■■■■■■■■■■■■■■■■■■
First triangle:
Let a,b and c be the sides of the triangle:
● a = 10
● b = 20
● c = 30
Now let's apply the theorem.
● a+b = 10+20=30
That's equal to the third side (c=30)
●b+c = 50
That's greater than a.
● a+c = 40
That's greater than b.
These aren't the sides of a triangel since the first inequality isn't verified.
■■■■■■■■■■■■■■■■■■■■■■■■■
Second triangle:
● a = 122
● b = 257
● c = 137
Let's apply the theorem.
● a+b = 379
That's greater than c
● a+c = 259
That's greater than b
● b+c = 394
That's greater than a
So 122,257 and 137 can be sides of a triangle.
■■■■■■■■■■■■■■■■■■■■■■■■■■
The third triangle:
● a = 8.6
● b = 12.2
● c = 2.7
Let's apply the theorem:
● a+b = 20.8
That's greater than c
● b+c = 14.9
That's greater than a
● a+c = 11.3
That isn't greater than b
So theses sides aren't the sides of triangle.
■■■■■■■■■■■■■■■■■■■■■■■■■■
● a = 1/2
● b = 1/5
● c = 1/6
Let's apply the theorem.
● a+b = 7/10
That's greater than c
● a+c = 2/3
That's greater than b
● b+c = 11/30
That isn't greater than a
So these can't be the sides of a triangle.
What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3
Answers
Answer:
z= -3
Step-by-step explanation:
Given:
1/2z =-3/4 + 1/4z
Collect like terms
1/2z - 1/4z = -3/4
Add 1/2z - 1/4z
2z-z / 4 = -3/4
We have
z/4=-3/4
Same as
z(1/4) = -3/4
Divide both sides by 1/4
z(1/4) ÷ 1/4 = -3/4÷1/4
z(1/4) × 4/1= -3/4 × 4/1
z(4/4) = -12/4
z= -3
The value of z= -3
Answer:
-3
Step-by-step explanation:
I got it right on the test
PLEASE HELPP on THIS PICTURE FOR ONE OF MY QUESTIONS
Answers
Answer:
Linear pair postulate
Step-by-step explanation:
The Linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary; that is, the sum of their measures is 180 degrees
A linear pair of angles is such that the sum of angles is 180 degrees.
What property is demonstrated here? (3x-5) x 4 = 3 x (-5 x 4) A) commutative property of addition B) associative property of multiplication C) commutative property of multiplication D) associative property of addition (haven't learned this yet so I have no clue)
Answers
Answer:
B) Associative Property of Multiplication
Step-by-step explanation:
*if it's wrong idk how, but I apologise*
a bottle is completely filled with olive oil the mass of the bottle is 500 grams if the density of the oil os 0.92 grams per milliliter what is the volume of the bottle to the nearest milliliter?
Answers
Answer:
543.48 millimetre
Step-by-step explanation:
mass/density = volume
500 grams / 0.92 grams per millimetre = 543.48
Answer:
volume = 543.478 cm³
Step-by-step explanation:
Density = mass / volume
0.92g/ml = 500g / volume
volume (0.92g/ml) = 500g
volume = 500g / (0.92g/ml)
volume = 543.478 ml (aprox. to the nearest mililiter)
1 ml = 1cm³
543.478ml = 543.478 cm³
Given the right triangle below, if AB = 4 and BC = 4, find AC.
A
B
C
Answers
In this case your equation would look like 4^2+4^2=c^2.
Four to the power of two is 16 so 16+16=c^2.
16+16=32
32=c^2
Root 32 = c
Length AC is root 32.
AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.
What is Pythagoras' Theorem?According to Pythagoras' Theorem, in a right triangle, the square of the length of the longest side, that is, the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the squares of the lengths of the other two sides.
How to solve the question?In the question, we are given a right triangle, with sides AB = 4 and BC = 4.
We are asked to find AC.
To find AC, we will use the Pythagoras theorem, according to which, we can write:
AC² = AB² + BC²
or, AC² = 4² + 4²,
or, AC² = 16 + 16,
or, AC² = 32,
or, AC = √32,
or, AC = √(16 * 2) = 4√2.
Therefore, AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.
Learn more about Pythagoras' Theorem at
https://brainly.com/question/231802
#SPJ2
There are a total of two hundred students and chaperones going on a
field trip. Each bus can hold 60 passengers. How many buses will be
used for the field trip? Explain why your answer is reasonable.
Answers
Answer:
4 bus is required for field trip to carry 200 passengers.
Step-by-step explanation:
Total no . of passengers = 200
let the be x bus required to carry 200 passengers
capacity of 1 bus = 60 passengers
capacity of x bus = 60*x passengers = 60x passengers
Thus,
60x = 200
x = 200/60 = 3 2/3
thus, 3.66 bus is required , but no. of bus cannot be in fraction hence we take integral value greater than 3.66 which is 4
Thus, 4 bus is required for field trip to carry 200 passenger.
The row-echelon form of the augmented matrix of a system of equations is given.Find the solution of the system
Answers
Answer:
x = 9/4
y = 3/5
z = 2/3
w = -9/5
Step-by-step explanation:
Technically, the matrix is in reduced row echelon form. If there are zeros above and below the ones, it is RREF. If there are zeros only below the ones, then it's REF.
Since it is in RREF, the augmented numbers to the right of the bar are already your solutions. Simply label the variables.
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!The technology stock has risen to $9.80 today. Yesterday's price was $9.67. Find the percentage increase
Answers
Answer:
1.34%
Step-by-step explanation:
First of all subtract the 2 values
9.84−9.71=0.13
use this value and find the percentage from the original price which was 9.71
0.13
------- ⋅100
9.71
percentage increase is
1.34%
Adams Company revenues are $500 on invested capital of $250. Expenses are currently 60% of sales. If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be _____.
Answers
Answer:
100%
Step-by-step explanation:
The formula to calculate the return on investment is:
ROI=(Net Profit/Total Investment)*100
Net profit=Revenues-expenses=500-(500*0.6)=500-300=200
Total investment=250-(250*0.2)=250-50=200
Now, you can replace the values:
ROI= (200/200)*100
ROI= 100%
According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.
**Yoxelt buys 4 1/ 2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.
Answers
Answer:
1 1/8
Step-by-step explanation:
1/4 of 4 1/2 is Pepsi.
1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8
please help me you will recieve 5 stars IF RIGHT ANSWER !
Answers
Answer:
[tex]\huge\boxed{\frac{7}{8}}[/tex]
Step-by-step explanation:
[tex](\frac{49 }{64})^{1/2}[/tex]
=> [tex](\frac{7^2}{8^2} )^{1/2}[/tex]
=> [tex]\frac{7^{2*1/2}}{8^{2*1/2}}[/tex]
=> [tex]\frac{7}{8}[/tex]
Answer:
Below
Step-by-step explanation:
You should now that:
● (m/n)^(1/2) = √(m/n)
So:
● (49/64)^(1/2) = √(m/n)
You shoukd now also that:
● √(m/n) = √m / √n
So:
● √(49/64) = √49/√64
Notice that 64 = 8^2 and 49 = 7^2
● √49 / √64 = √(7^2)/√(8^2) = 7/8
So the answer is 7/8
2. Which of the following number is divisible by 6?
O. A. 672
O B. 813
O C. 7312
O D. 1234
Answers
Answer:
A - 672
Step-by-step explanation:
Any number divisible by both 3 and 2 is divisible by 6.
mila has 9 buttons mia has 225 mia has how many times as many buttons as mila?
Answers
Answer:
25
Step-by-step explanation:
divide mia's buttons by mila's
225 / 9
=25
Answer:
Step-by-step explanation:
225 ÷ 9 = 25
Mia has 25 times as many buttons as Mila
help..? why are there so many parentheses..?can you plz give a step by step on how to slove the equation?
Answers
Answer:
= -11
Step-by-step explanation:
-(-(11-22))
= -(-11+22)
= 11 - 22
= -11
What is the value of x
Answers
Answer:4,24
Step-by-step explanation:
2(4x+x)=60
10x=60
x=6
4*6=24
Answer:
Step-by-step explanation:
Perimeter of a rectangle = 2 ( l + b ) = 60
here,
l = 4x
b = x
so,
2 ( l + b ) = 60
2 ( 4x + x ) = 60
2 ( 5x ) = 60
5x = 60 / 2
5x = 30
x = 30 / 5
x = 6
so l = 4x = 4 × 6 = 24
b = x = 6
you can also recheck it by
2 ( l + b )
2 ( 24 + 6 )
= 2 × 30
= 60
Which is equal to the perimeter.
Hope this helps
plz mark as brainliest!!!!!
Simplify the expression. (3x2 – 4x + 1) + (-x2 + x – 9)
Answers
[tex](3x^2 - 4x + 1) + (-x^2 + x - 9)=\\3x^2-4x+1-x^2+x-9=\\2x^2-3x-8[/tex]
= (2x+1)+(-x-9)
= 2x+1-x-9
= x-8
1. Which expression is equivalent to (-2)(a + 6)?
Answers
Answer:
please mark my answer brainliest
Step-by-step explanation:
- 2a -12
what is the radical of 5√72 PLZ HELP!
Answers
Answer: Exact Form: 30√2
Decimal Form:42.42640687…
Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
I hope this helped :)
Answer:
30√2
Step-by-step explanation:
The radical portion of the given expression is √72.
__
Perhaps you want the simplest form of your expression. Factor out the perfect squares from under the radical.
[tex]5\sqrt{72}=5\sqrt{36}\sqrt{2}=5\cdot 6\sqrt{2}=\boxed{30\sqrt{2}}[/tex]
BRAINLIEST, 5 STARS AND THANKS IF ANSWERED CORRECTLY.
A quadratic equation with a negative discriminant has a graph that..
A. touches the x-axis but does not cross it
B. opens downward and crosses the x-axis twice
C. crosses the x-axis twice.
D. never crosses the x-axis.
Answers
Answer:
never crosses the x-axis.
Step-by-step explanation:
A quadratic equation with a negative discriminant has a graph that - never crosses the x-axis.
Answer:
The graph of a quadratic equation that has a negative discriminant is the one that never intersect x-axis. The graph of a quadratic equation that has a zero discriminant is the one that intersect x-axis at only one point. To be clearer, it can be seen in the attached image.
Step-by-step explanation:
Answer D
solve for x 5(x+1)=4(x+8)
Answers
Answer:
x=27
Step-by-step explanation:
expanding the above expression we get
5x+5=4x+32
grouping numbers with coefficient of x at the left side and constant at the right side we get
5x-4x=32-5
x=27
This gives us 5x + 5 = 4x + 32.
Now subtract 4x from both
sides to get x + 5 = 32.
Now subtract 5 from both sides and x = 27.
HELP!!!
The solutions to (x + 3)^2- 4=0 are x = -1 and x = -5
True or false
Answers
Answer:
False
Step-by-step explanation:
We can simplify this equation and then solve for x.
[tex](x+3)^3-4=0\\\\x^2+6x+9-4=0\\\\x^2+6x+5=0\\\\(x+2)(x+3)=0\\\\x=-3\\x=-2[/tex]
As you can see, the solutions are not x=-1 and x=-5.
Therefore, the answer is false.
Answer:
True
Step-by-step explanation:
Given
(x + 3)² - 4 = 0 ( add 4 to both sides )
(x + 3)² = 4 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 3 from both sides )
x = - 3 ± 2
Thus
x = - 3 - 2 = - 5
x = - 3 + 2 = - 1
Use the measure of the sides of triangle ABC to classify the triangle by its sides A(-1,3) B(-3,5) C(3,2)
Answers
Answer:
The triangle is a scalene triangle that has all three sides having different lengths
Step-by-step explanation:
The given vertices (and their coordinates) of the triangle are;
A(-1, 3)
B(-3, 5)
C(3, 2)
The equation for finding the lengths of a segment, l, given the coordinates, x, y is presented as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For segment AB, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = B(-3, 5), we have;
[tex]l = \sqrt{\left (5-3 \right )^{2}+\left (-3-(-1) \right )^{2}} = 2\cdot\sqrt{2}[/tex]
Length of segment AB = 2·√2
For segment AC, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = C(3, 2), we have;
[tex]l = \sqrt{\left (2-3 \right )^{2}+\left (3-(-1) \right )^{2}} = \sqrt{17}[/tex]
Length of segment AC = √17
For segment BC, when, (x₁, y₁) = B(-3, 5) and (x₂, y₂) = C(3, 2), we have;
[tex]l = \sqrt{\left (2-5 \right )^{2}+\left (3-(-3) \right )^{2}} = 3 \cdot \sqrt{5}[/tex]
Length of segment AC = 3·√5
The triangle is a scalene triangle that has all three sides having different lengths.
Which expression is equivalent to (–2)(a + 6)?
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12
Answers
The answer is option c.
Marta esta poniendo sus libros en una estantería. Le faltan 7 libros para poder poner 12 en cada estante; sin embargo, si pone 10 libros en cada estante, se quedan 5 libros sin poner. ¿Cuantos es antes tiene la estantería?
Answers
Answer:
x = 6 la cantidad de estantes
y = 65 cantidad de libros
Step-by-step explanation:
LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.
La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:
y + 7 = 12*x (1)
La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:
y - 5 = 10*x (2)
Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.
Despejamos y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x
y = 12*x - 7
(12*x - 7 ) - 5 = 10*x
2*x -12 = 0
2*x = 12
x = 6 la cantidad de estantes, y
y = 12*x -7
y = 72 - 7
y = 65 cantidad de libros
