The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
d = 0.04v + 1.1v
What is the stopping distance for a velocity of 10 miles per hour?
a. 10 ft
b. 7 ft
c. 15 ft
d. 13 ft
Note: The must be [tex]0.04v^2[/tex] instead of [tex]0.04v[/tex].
Given:
The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
[tex]d=0.04v^2+1.1v[/tex]
To find:
The stopping distance for a velocity of 10 miles per hour.
Solution:
We have,
[tex]d=0.04v^2+1.1v[/tex]
where, d is stopping distance and v is velocity.
Substitute v=10 in the given equation to find the stopping distance for a velocity of 10 miles per hour.
[tex]d=0.04(10)^2+1.1(10)[/tex]
[tex]d=0.04(100)+11[/tex]
[tex]d=4+11[/tex]
[tex]d=15[/tex]
So, the stopping distance for a velocity of 10 miles per hour is 15 ft.
Therefore, the correct option is c.
A triangle with side lengths of 8, 15, and 17.5 form a right triangle.
I would appreciate the help
9514 1404 393
Answer:
false
Step-by-step explanation:
You can check to see if the sum of squares of the smaller two numbers is equal to the square of the larger.
8² +15² vs 17.5²
64 +225 vs 306.25
At this point, you need go no further. The sum of two integers will not have a fractional part, so cannot be equal to 306.25.
289 vs 306.25 . . . . the long side is too long for a right triangle.
__
If you were familiar with some of the Pythagorean triples, you would know that the closest triple is {8, 15, 17}, so (8, 15, 17.5) does not represent a right triangle.
A few common Pythagorean triples are ...
{3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}
What is the slope of the line that passes through the points (9,5) and (21,1)? Write your answer in simplest form.
Answer:The slope of the line would be 1/3 because if you put those two coordinates in the table then you can see the the difference between 5 and 1 is 4 and the difference between 9 and 21 is 12 then do 4 divided by 12 and you get 1/3 for your slope.
Step-by-step explanation: I know math just trust me i am a sraight A student.
Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 on these items. Let x represent the number of notebooks. Let y represent the number of pens. Enter an inequality that represents the situation.
Answer:if the notebooks cost 3.59 and pens cost 1.49, with x representing the notebooks and y representing the number of pens and an amount of $13, the inequality would be written as 3.59x+1.49y13
Step-by-step explanation:
[tex]5^{2} 5^{9}[/tex]
Answer:
5^11 = 48828125
Step-by-step explanation:
5^11 ( 2 + 9 = 11)
Which point represents the quotient of 3-1?
A
B
C
D
The point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)
The quotient is given as:
[tex]Quotient = \frac{3 - i}{i}[/tex]
Rationalize the expression
[tex]Quotient = \frac{3 - i}{i} \times \frac ii[/tex]
Expand the above expression
[tex]Quotient = \frac{3i - i^2}{i^2}[/tex]
Evaluate all exponents
[tex]Quotient = \frac{3i - (-1)}{-1}[/tex]
Remove bracket
[tex]Quotient = \frac{3i +1}{-1}[/tex]
Rewrite the above expression as follows:
[tex]Quotient = -3i -1[/tex]
Further, rewrite as:
[tex]Quotient = -1-3i[/tex]
In the above expression, the real part is -1, and the imaginary part is -3.
This point is represented by point C, because:
[tex]C = (-1,-3)[/tex]
Hence, the point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)
Read more about complex numbers at:
https://brainly.com/question/2218826
1.
Marsha’s cat weighs 15.41 pounds. Her bunny only weighs 4.79 pounds. About how much more does her cat weigh?
10 pounds
10.62 pounds
20 pounds
11 pounds
Answer:
it's about 10, but without rounding it's 10.62
Step-by-step explanation:
Completely factor f(x)=2x^4+11x^3+2x^2-15x given that f(-3/2)=0
Due today please help
Answer:
There isn't a picture
Step-by-step explanation:
Solve for x. cosx =√3/2
Answer:
cos x=√3/2
cos x=60°. (cos60°=√3/2)
{x=60°}
please help with these few!!?
Answer:
Triangle 6: 74
Triangle 7: 29
Triangle 8: 61
Triangle 9: 33
Step-by-step explanation:
Every triangle has a total degree angle of 180 degrees. Add the two sides that are known and subtract the sum from 180 degrees to find out the last angle.
Abigail's rectangular flower garden has a width of 4 1/4feet and an area of 12 3/4 square feet.
What is the length of the garden?
Answer:
3 feet long
Step-by-step explanation:
4 1/4x3=12 3/4
List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution
Answer:
20
Step-by-step explanation:
If you take (2x+5) (2x+5) = 0
then 4x^2 + 20x +25 = 0
what is the cosine of angle D
Answer:
[tex] \frac{28}{45} [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
HELP ASAP WILL GIVE BEST FEEDBACK Fred drew in the trend line showing the relationship
between forearm length and height for students in his
class.
Which statements are true of the trend line? Check all
that apply.
It is a good fit because the same number of data
points are on each side of the line.
The line shows a negative correlation.
The line shows a positive correlation.
The y-intercept is about 60.
The rate of change can be represented by the
slope of the trend line.
Answer:
a.It is a good fit because the same number of data points are on each side of the line.
c.The line shows a positive correlation.
e.The rate of change can be represented by the slope of the trend line.
Step-by-step explanation:
Answer: -It is a good fit because the same number of data points are on each side of the line.
- The line shows a positive correlation.
-The rate of change can be represented by the slope of the trend line.
(A, C, E on edg) :)!
Describe sets of two or more matching integer cards that satisfy the criteria in each part below:
Removing cards that increase the score by 10 points
Calculate the circumference and area of circle T
Answer:
785
Step-by-step explanation:
2500÷10=250
250×3.14=785
(y-7)(y+6)
Can someone show me how to do it it’s multiplying polynomials
hi
(y-7) (y+6) = y²+6y -7y -42
= y² -y -42
if angle 1 is 57 degrees then whats angle 6
Answer:
So, m∠6 = 180° - x°.
Step-by-step explanation:
The answer is 180 degrees
NEED HELP ASAP. WILL GIVE BRAINLIEST
Let w represent the sum of vectors u and v. Find the magnitude of w and the angle between w and u given the following information: u = 14 |v1 = 16 The angle between u and w is 120°.
The magnitude of w is approximately?
The angle between w and u is approximately?
Answer:
The magnitude of w is approximately 26.
The angle between w and u is approximately 32.2°.
Step-by-step explanation:
The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees and this can be determined by using the given data.
Given :
Let w represent the sum of vectors u and v. |u| = 14 |v| = 16 The angle between u and w is 120°.a) The magnitude of 'w' is calculated using the below formula:
[tex]w = \sqrt{u^2+v^2+2uvcos\theta }[/tex]
Now, substitute the values of u, v, and [tex]\theta[/tex] in the above formula.
[tex]w = \sqrt{14^2+16^2+2\times14\times16\;cos120 }[/tex]
Simplify the above expression.
[tex]w =15.1[/tex]
b) The angle between w and u is calculated using the below formula:
[tex]tan\beta =\dfrac{vsin120}{u+vcos120}[/tex]
Now, substitute the above values of u and v in the above expression.
[tex]tan\beta =\dfrac{14\times sin120}{14+16\times cos120}[/tex]
Simplify the above expression in order to determine the value of [tex]\beta[/tex].
[tex]\beta = 62.67^\circ[/tex]
The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees.
For more information, refer to the link given below:
https://brainly.com/question/13188123
8 What value of x makes the equation 5(7x-3) - x=-4x – (-9- 2x)
true?
Suppose you deposit $600 in a bank account with a simple interest rate of 2.5%. You want to keep your deposit in the bank long enough to earn at least $120 in interest. How long should you keep your deposit in the bank?
To earn at least $120 interes you should keep your deposit in the bank for blank year(s).
(Round up to the nearest year please)
Answer:
120/2.5%
Step-by-step explanation:
Answer:
im just answering to get points uwu Just ignore this answer
Step-by-step explanation:
Slope review
PROBLEM : What is the slope of the line whose equation has the following solutions? Give an exact number.
Solution: x = -2.5 y= 0.5
Solution: x=2 y = 2
The slope is:
To find slope, we must use the slope formula*.
[tex]m = \frac{2 - 0.5}{2 - (-2.5)} = \frac{1.5}{4.5}[/tex]
The slope is 1.5/4.5.
Can someone please answer letter F ? It applies to the question 4 and the graph on the right , it’s not long .
1) Nyla had 10 songs in a playlist on her phone. The playlist had two of her favorite artists, Beyonce
and Jennifer Lopez. How many of the songs from each artist could she have?
a) Create an equation to represent this situation. Explain what each of the variables represent.
Equation:
b) List at least five solutions to the equation above. How do you know that these are the
solutions to the equation you created?
Answer:
a) 10 = X + Y
b) X = 1, Y = 9
X = 2, Y = 8
X = 3, Y = 7
X = 4, Y = 6
X = 5, Y = 5
i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.
Step-by-step explanation:
The given parameters are;
The number of songs in the playlist on her phone = 10
The number of authors of the songs on her playlist = 2
The equation that represent the situation is given as follows;
X + Y = 10
Where X represent the number of Beyonce's song on her playlist and Y represent the number of Jennifer Lopez's song on her playlist
b) 5 possible solutions are;
X = 1, Y = 9
X + Y = 1 + 9 = 10
Which gives 1 Beyonce's and 9 Jennifer Lopez's songs
X = 2, Y = 8
X + Y = 2 + 8 = 10
Which gives 2 Beyonce's and 8 Jennifer Lopez's songs
X = 3, Y = 7
X + Y = 3 + 7 = 10
Which gives 3 Beyonce's and 7 Jennifer Lopez's songs
X = 4, Y = 6
X + Y = 4 + 6 = 10
Which gives 4 Beyonce's and 6 Jennifer Lopez's songs
X = 5, Y = 5
X + Y = 5 + 5 = 10
Which gives 5 Beyonce's and 5 Jennifer Lopez's songs
i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.
What is the slope of the line that passes through (5, 4) and (7, 10) ?
A 3
B -3
C 2
D
-2
Answer:
3
Step-by-step explanation:
You would first plug in the points to the slope formula which is as follows:
m = y2 - y1 / x2 - x1
When you plug it in, it should look as follows:
m = 10 - 4 / 7 - 5
You should now add like terms.
m = 6/2
You should now simplify.
m = 3
How many solutions does this equation have? –7z − 7 = –4z + 8
Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to the nearest thousandth, if necessary
Answer:
[tex]P(A\ n\ B) = 0.557[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.78[/tex]
[tex]P(B) = 0.65[/tex]
[tex]P(A\ u\ B) = 0.873[/tex]
Required
Determine [tex]P(A\ n\ B)[/tex]
From laws of probability, we have:
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
Substitute in values
[tex]P(A\ n\ B) = 0.78 + 0.65 - 0.873[/tex]
[tex]P(A\ n\ B) = 0.557[/tex]
Hence, [tex]P(A\ n\ B)[/tex] is calculated to be 0.557
What is the slope ? M=
Answer:
-3/2
Step-by-step explanation:
The slope is found by
m = ( y2-y1)/(x2-x1)
Using the points (-4,11) and ( 0,5)
m = ( 11-5)/( -4-0)
= 6/-4
= -3/2
If you study an extra 10 hours a week for a year (52 weeks) and you earn a four-year scholarship valued at $50,000, what is your hourly return on your investment in study time?
Answer:
$96.15Step-by-step explanation:
Step one:
given data
total number of weeks =52 weeks
study time per week is = 10 hours
total study time for the year = 52*10
=520 hours per year.
Step two:
given that the value of the scholarship for one year is $50,000.
we want to find the amount that an hour of study brings
so we have to divide the total scholarship by the amount of study time
50000/520
=$96.15
your hourly return on your investment in study time is $96.15
HELPPPPPPP PLEASE!!!!!
Answer:
i am so sorry that i dont know