The equation in the problem solves the speed as 48.99 miles per hour. At this speed the car takes 100 feet to stop ( also shown in the equation as they replaced d with 100).
This means any speed below 48.99 miles per hour would stop before hitting the tree.
The fastest the car can go would be 48.98 miles per hour.
Justify by replacing s in the equation with 48.98 and solve for d:
48.98 ^2 = (sqrt( 30(0.8)d)
2399.04 = 24d
D = 2399.04/24
D = 99.96 feet
This is less than 100 feet so the car will not hit the tree.
Help needed and explained too!!
Answer:
There are 1680 different ways four letters can be arranged.
Since you are using the permutation formula, plug in the values and solve.
P(n,r) = P(8,4)
= 8! / (8−4)!
= 1680
Spelling out LION is only one of the 1680 possible outcomes. Therefore the fraction 1/1680 would represent this probability.
P(LION) = 1/1680
Given that a = two and b = 3, what is the value of (ab)?
Answer:
(ab) = 6
Step-by-step explanation:
a = 2 and b = 3
So, (2(3)) or 2 x 3 = 6
Please help me with this problem
Answer:
9xy = 3x . 3y
2xyz = 2x . y . z
4x . 4y = 16xy
Answer:
1, 4, 5.
Step-by-step explanation:
1. 3x * 3y is equal to 9y.
4. 2x * y * z is equal to 2xyz, since the grouped variables mean the same thing as multiplied.
5. 4x * 4y is 16xy, because 4 * 4 is 16 and x * y is xy.
write 17/15 as a mixed number.
Answer:
1 2/15
Step-by-step explanation:
Also, I plead the 5th
The mixed fraction of 17/15 is [tex]1\frac{2}{15}[/tex] .
The given fraction is,
17/15
We have to write 17/15 in mixed fraction,
Since we know that,
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
And a mixed fraction is a fraction made up of a fraction and a full number.
Now applying long division method to find mixed fraction,
15 ) 17 ( 1
- 15
______
2
Hence,
17/15 = [tex]1\frac{2}{15}[/tex] is the required mixed fraction.
Learn more about the fraction visit:
https://brainly.com/question/5454147
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Find the perimeter of the triangle with vertices D(−2, −1), E(3, 2), and F(0, 4). Do not round before calculating the perimeter. After calculating the perimeter, round your answer to the nearest tenth.
Answer: [tex]15.3\ \text{units}[/tex]
Step-by-step explanation:
Given
Coordinates of the corners are D(-2,-1), E(3,2), and F(0,4)
Length DE is
[tex]\Rightarrow DE=\sqrt{(2+1)^2+(3+2)^2}\\\Rightarrow DE=\sqrt{(3)^2+(5)^2}\\\Rightarrow DE=\sqrt{34}\ \text{units}[/tex]
Length EF is
[tex]\Rightarrow EF=\sqrt{(4-2)^2+(0-3)^2}\\\Rightarrow EF=\sqrt{(2)^2+(-3)^2}\\\Rightarrow EF=\sqrt{13}\ \text{units}[/tex]
Length FD is
[tex]\Rightarrow FD=\sqrt{(4+1)^2+(0+2)^2}\\\Rightarrow FD=\sqrt{(5)^2+(2)^2}\\\Rightarrow FD=\sqrt{29}\ \text{units}[/tex]
Perimeter of the triangle is
[tex]\Rightarrow DE+EF+FD=\sqrt{34}+\sqrt{17}+\sqrt{29}\\\Rightarrow DE+EF+FD=15.3\ \text{units}[/tex]
The diagram shows a rectangle. 5cm 1cm four of these rectangles are put together as shown, calculate the shaded area
Answer:
15 cm²
Step-by-step explanation:
5 + 1 + 1 = 7
7 × 5 = 35
5 × 1 = 5
5 + 5 + 5 + 5 = 20
35 - 20 = 15
Answer:
15 sq.cm
Step-by-step explanation:
Length of the shaded rectangle = length of the unshaded rectangle = 5 cm
Breadth of the shaded rectangle = 5 - ( 1 + 1) = 5 - 2 = 3 cm
Area of the shaded rectangle = 5 * 3 = 15 sq.cm
You download 15 music files on your computer and plan to save 7 of them to an MP3 player. In how many ways can u arrange the songs
Answer:
32,432,400
Step-by-step explanation:
This you can use a permutation.
P(15,7)15x14x13x12x11x10x9
There are 32,432,400 ways to arrange it.
Can some one help explain this
Answer:
[tex]4( {x}^{2} - 1) - ( {x}^{2} - 8x - 5)[/tex]
[tex]4 {x}^{2} - 4 - {x}^{2} + 8x + 5[/tex]
[tex]3 {x}^{2} + 8x + 1[/tex]
12 is what percent of 14?
Answer:
12 is 85.714285714286% of 14.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
A = 20
Step-by-step explanation:
use graph to answer question
Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
Write a verbal statement to represent the equation 4m = -8
four times m equals negative eight
1) Find the distance between -49.75 and 31.5 on a number line.
Answer:
81.25
Step-by-step explanation:
Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.
Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.
Finally, add those two distances together so that you know the total distance:
49.75+31.5 = 81.25
Answer:
in the picture
HOPE ITS HELP
PLEASE HELP!!!!!!!! AND FAST LOL
Answer:
1. y = 4/7x +2
2. y = -1/7x +2
3. y = x +2
4. y = 1/7x +2
In the figure, Z ABC and Z BCD are supplementary angles.
Answer:
x = 22
Step-by-step explanation:
line AD is 180°
so 40° + (5x + 30°) = 180°
solve for x.
5x = 180-30-40
5x= 110
x = 110/5
x= 22
Answer: 22
180 - 40 = 140
5(22) = 110
110 + 30 = 140
Whats -606-(-778+20)+2n?
Help
Will
Give
Brainlist
:))
Answer:
1.256 million ???
Help needed fast I am
Confused!!!
Answer:
For the fifth box, the correct answer is 24.
Since there are 4 different letters, use the formula 1 x 2 x 3 x 4 / {(1) (1) (1) (1)}.
When you solve that, you should get 24/1 or just 24.
Not sure if you have heard of this formula, but it is much more efficient than counting all the possible outcomes.
For the sixth box, the probability of pulling out the letters in the order of MATH is only one of the possible outcomes out of 24.
Thus, the fraction to represent this is 1/24.
Hope this clears up any misunderstandings.
Find the measure of angle 3 if the measure of angle 8 is 40
degrees.
Answer:
3=140°
Step-by-step explanation:
Each small square on the tile table is the same size. The length of a side of a small square is 2 inches . What is the area of the tile table ? Explain. please no link
[tex]( \frac{1}{4} )x = 2[/tex]
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]( \frac{1}{4} )x = 2 \\ \frac{1}{4} x = 2 \\ x = 2 \times \frac{4}{1} \\ x = 2 \times 4 \\ x = 8[/tex]
✍ The value of x is 8.ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Select the two statistical questions that Gary could ask,
A How old is your school?
B How many pets do you have?
C What is your favorite flavor of ice cream?
D How many states are in the United States?
E In what year was the Declaration of Independence signed?
(Ignore the blue part)
Answer:
the 2 statistical questions are B and C
Standard fom: 4x20x² 24x
what is the Leading coefficient
Explain the behavior base on the
degree and leading coefficient?
Answer:
that is behavior that coefficient
PLS HELP!!!! DUE SOON. plz explain answer plzzzzzz
Answer:
The area of this entire shape is 156 m.
Step-by-step explanation:
So to solve for the area of this shape you need to split it up into smaller shapes.
Let's split it into a square and a triangle, find the area of both, then add it together to get the total area.
To find area you take width times length, so the area of the square would be 10 multiplied by 12. That's 120.
Square area = 120
Now, for the triangle. We know the entire length of one side is 16 and inside that the side length of the square is 10, so that means the side length of the triangle is 16 - 10 or 6. The height of the triangle is 12 m.
12 multiplied by 6 is 72.
Now, because it's a triangle we take this value and divide by 2.
72 divided by 2 is 36.
Triangle Area = 36
Now we add square area and triangle area together :
120 + 36 = 156
The area of this entire shape is 156 m.
can someone help , im stuck on this one
Given :
Some points on two line j and k on the graph.
To Find :
The solution of the system.
Solution :
We know, solution of system is given by the points that satisfy all the equation given in the system.
From the given tables we can see that point ( 3, 18 ) satisfy both the equation j and k.
Therefore, the solution of the system is ( 3, 18 ).
Gabrielle needs 12 cups of pineapple
juice for the fruit punch she is
making. The pineapple juice costs
$2.50 per quart. How much will
Gabrielle pay for the pineapple juice?
I’m really struggling can I have some explanations on this please?
Answer:
$7.5
Step-by-step explanation:
1 quart = 4 cups
So:
12 cups = 12/4 = 3 quarts
Each quart is 2.5 dollars
3 * 2.5 = $7.5
Miguel's family drinks 3 gallons of milk
every 2 weeks. How many gallons of milk
does Miguel's family drink in 6 weeks?
A 4 gallons
B 6 gallons
C 7 gallons
D 9 gallons
Calculate the distance between the points K=(-5, 1) and C = (3, -2) in the coordinate plane.
Answer:
the square root of 5=2.2361
If f(x) = x3 + x – 3 and g(x) = x2 + 2x, then what is (f + g)(x)?
Answer:
x^3+3x−3+x^2
Step-by-step explanation:
Answer:
x3+x2+3x − 3
Step-by-step explanation:
The dimensions of a rectangular prism are shown in the table.
Length: 10 in
Width: 12 in
Height: 16 in
What is the surface area of the rectangular prism?
