It moves in a straight line starting from rest. It travels with a constant acceleration for 3 seconds reaching a velocity of 4 m/s. Then it slows down with a constant deceleration of 0.5 m/s squared for 4 seconds before stopping what is the total distance travelled by the toy car?
Answer:
The total distance traveled by the toy car is 14 m
Step-by-step explanation:
Given;
initial velocity of the car, u = 0
final velocity of the car, v = 4 m/s
time of motion, t₁ = 3 s
constant deceleration of the car, -a = 0.5 m/s²
time of motion, t₂ = 4 s
The total distance traveled by the car, is the area of triangle ABC (check the image uploaded).
[tex]Total \ distance = Area = \frac{1}{2} |BC| \times H\\\\Total \ distance = \frac{1}{2} \times 4\times 7\\\\Total \ distance = 14 \ m[/tex]
What fraction is shown on the number line?
0
1
Including a 5% sales tax, Ms. LeBoeuf spent $18.90 on
school supplies. How much did the supplies cost before
the tax?
Answer:
$18
Step-by-step explanation:
Find the cost before tax by dividing the cost by 1.05
18.9/1.05
= 18
So, the cost of the supplies before tax was $18
Lease please help me I will give brainliest to the first right answer!!!!
Answer:
a.option is the correct answer right I think so
Answer:
A seems to be the right answer
Given that
R
=
4
x
+
8
y
Find
y
when
x
=
4
and
R
=
32
Answer:
R = 4x + 8y
-8y = 4x - R
-8y = 4(4) - 32
-8y = 16 - 32
-8y = -16
we divide through by -8
so now
y = 2
Hope this will help
Sketch the angle in standard form whose terminal side passes through the given point. Find the exact values for each trigonometric function.
this is how i solved it hopefully its correct
When the two crews start working together, what part of all the garbage bins will the first garbage truck empty
Complete question is;
The city just assigned a second garbage truck to empty the bins in Kat’s neighborhood on trash day. The crew from the first garbage truck used to empty all the bins by themselves in 5 hours. In their training, it took the crew from the second garbage truck 8 hours to empty all the bins. When the two crews start working together, what part of all the garbage bins will the first garbage truck empty? To the nearest tenth, the first garbage truck will empty about of all the bins.
Answer:
Part of all bins first garbage truck will empty = 0.6
Step-by-step explanation:
Let the total number of bins emptied be denoted by n.
We are told that the crew from the first garbage truck empties all the bins in 5 hours. Thus
Work rate = (n/5) bins/hr
We are told the second garbage truck empties in 8 hours. Thus;
Work rate = (n/8) bins/hr
When both garbage trucks work together, the total amount of time spent will be denoted by x. Thus;
((n/5) + (n/8))x = n
Divide through by n to get;
x/5 + x/8 = 1
Multiply through by 40 to gwt;
8x + 5x = 40
13x = 40
x = 40/13 hrs
To find the part of all the garbage bins the first garbage truck empty when they work together, we will simply multiply the value of x by the work rate of the first garbage truck. Thus;
Part = (n/5) × (40/13)
Part = (40/65)n = 0.615 of n
To the nearest tenth gives 0.6 of n
if c= what is the value of a?
Answer:
a= 17√3/ 2 or a≈14.72
Step-by-step explanation:
c = 17 and is the side opposite to the angle C
c=AB =17
a= BC because is the side opposite to angle A
sin 60° = opp./hyp = BC / AB = BC/17
sin 60° = BC /17 multiply both sides by 17
BC = 17* sin 60 = 17√3/2 ≈14.72
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29
Answer:
$9.99 + $1.29x = $50
Step-by-step explanation:
something like this don't know if right though
- Brandon arrives at practice at 5:30 PM. The team
does warm-up exercises for 20 minutes. Then they
practice for 50 minutes. What time does practice end?
The solid below was made by cutting a cone-shaped hole out of a cylinder. The surface area of the resulting composite solid is square cm. Write your answer in terms of pi.
*see attachement below for the diagram
Answer:
(252π + 20) cm²
Step-by-step explanation:
The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)
✔️Curved surface area of cylinder = 2πrh
r = ½(12) = 6 cm
h = 18 cm
C.S.A = 2*π*6*18 = 216π cm²
✔️Area of 1 base = πr²
r = ½(12) = 6 cm
Area = π*6²
Area = 36π
✔️Slant height of the cone = 10 cm
✅The surface area of the resulting solid = 216π + 36π + 2(10)
= (252π + 20) cm²
Which angle measure is complementary to
29 degrees?
Answer:
151
Step-by-step explanation:
180 - 29
Answer:
B) 61
Step-by-step explanation:
When angles are complementary, that just means they add up to 90 so:
90 - 29 = 61
ay - b = c solve for y
Answer:
[tex]Y=\frac{c}{a}-\frac{b}{a}[/tex]
Step-by-step explanation:
Answer:
y=c+b/a (The a is under c+b)
Step-by-step explanation:
Add the b over to c.
ay=c+b
Now divide both sides by a, which will remove the a from y.
y=c+b/a
A culture started with 1,000 bacteria. After 6
hours, it grew to 1,300 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
Answer:
1548
Step-by-step explanation:
I took the application
PLEASE NO LINKS thank you :)
Answer:
D
Step-by-step explanation:
the number x is divided by 12 if 3is now added to this number the result is 14 what is the value of the number x
Answer:
132
Step-by-step explanation:
[tex]\frac{x}{12}+3=14[/tex]
Subtract 3 (from both sides of the equation, of course).
[tex]\frac{x}{12}=11[/tex]
To "undo" the division, multiply by 12.
[tex]12\cdot\frac{x}{12}=11(12)\\x=132[/tex]
The function (t) = 1,000(1.06)2t models the value of an investment after tyears.
Part B: What does the coefficient"2" represent in the exponent of the function?
the total amount of money earned in the investment
the initial amount of money invested
the number of compounding periods per year
the interest rate of the investment
Answer: B not sure if I’m right though .
Step-by-step explanation:
CAN ANYONE HELP ME WITH VOLUME OF PRISMS
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
Step-by-step explanation:
mr browner has 7 keys, one for his home 2 for his car and the rest are for his drawers in his office. if he picks up 1 without looking what is the probability it is for his car
1/7, 2/7, 3/7, 4/7, 5/7, 6/7
Answer:
2/7
Step-by-step explanation:
Because there are a total of 7 keys and he has 2 for his car so 2/7.
:DDDDD
Find the product of f & g
Answer:
b
Step-by-step explanation:
(2x + 6) x (-5x -9)
-10x^2 -18 - 30 -54
-10x^2 - 38 - 54
An ice chest contains 2 bottles of orange juice,
5 bottles of grape juice, and 1 bottle of apple
juice, all buried in ice. What's the probability
of pulling out a bottle of orange juice and then
a bottle of grape juice?
Answer:
5/28
Step-by-step explanation:
P(oj, then grape) = 2/8 x 5/7 = 10/56 = 5/28
The probability of pulling out a bottle of orange juice and then a bottle of grape juice is 5/28.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
An ice chest contains 2 bottles of orange juice, 5 bottles of grape juice, and 1 bottle of apple juice, all buried in ice.
The probability of pulling out a bottle of orange juice and then a bottle of grape juice is calculated as below:-
Probability = Number of favorable outcomes / Number of sample
P(orange , then grape) = 2/8 x 5/7 = 10/56 = 5/28
Therefore, the probability of pulling out a bottle of orange juice and then a bottle of grape juice is 5/28.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
Help me with this please!!!!!!!!!!!
Answer:
sin 45 = opp/hyp = 11/v
v = 11/sin45 = 11/(√2/2)
= 11√2
What is the product of (3x-4)(x+5)?
Answer:
[tex]3x(x + 5) - 4(x + 5)[/tex]
Step-by-step explanation:
(3x-4)(x+5)
3x(x+5)-4(x+5)
(3x^2+15x)(-4x+20)
3x(x+5)-4(x+5)
Hope this helps you
Please help gotta pass dis
Hi there, so we know that all triangles add up to 180 degrees so we will take 38 and add it with 25 to get 63 then we subtract 180 by 63 to get 117 which is your awnser!! I mean I might be wrong but I’m probably right. I hope this helps!! Have a great morning, night, or day, Whatever it is for you!
Answer:
d=63 degree (if one side of a triangle is produced,the exterior angle so formed is equal to the sum of the two interior opposite angles).
Step-by-step explanation:
Hope it helps you!!
A quadrilateral has no equal angles and only one pair of parallel sides.
What type of quadrilateral is it?
Answer:
A trapezoid
Step-by-step explanation:
One pair of parallel sides
What are the polar coordinates for (-7, 7)?
Answer:
The polar form of (7, - 7) is (r, θ) = (7√2, - π/4)
Step-by-step explanation:
What is the volume of the rectangular prism shown below? *
Answer:
Hello! Sorry bots answered to quick for last problems
Answer: D. 64
Integrate:– [tex]\Huge{{\large{∫} \frac{dx}{ \sqrt{x \sqrt{x} - x {}^{2} } }}}[/tex]
9514 1404 393
Answer:
-4arccos(x^(1/4)) +C
Step-by-step explanation:
My machine solver gives an answer that reduces to the expression ...
-4arccos(x^(1/4)) +C
__
We know that ...
(d/dx)arccos(x) = -1/√(1-x²)
If you let u = x^(1/4), then you can make the integrand look something like ...
4 du/√(1 -u²)
which is what you need to get to the arccos function.
What is 3y+5x=-15 written in slope-intercept form? O y=şX+5 5 O y=-3X-5 -x O y-x-5 5 O y=-ŽX+5
Answer:
y = -5/3x - 5
Step-by-step explanation:
3y + 5x= -15
3y = -5x - 15
y = -5/3x - 5
Give anther name for Plane WPX