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.
PLS HELP ME ASAP!!!!
In 2 hours, a canoeist can go 40 km downstream but only 6 km upstream. Find the rate of the current and the canoeist.
Answer:
20 Km per hour.
A scale drawing of a playhouse is shown below. What is the total height of the actual playhouse?
A. 4 ft
B. 6 ft
C. 8 ft
D. 16 ft
Answer:
A
Step-by-step explanation:
Use FOIL to explain how to find the product of
(a + b)(a − b). Then describe a shortcut that you could use to get this product without using FOIL.
Answer:
A² + 2AB - B²
Step-by-step explanation:
Answer:
Multiply the first, outside, inside, and last terms of the binomials.
Multiply a times a, a times -b, b times a, and b times -b.
This is the same as just squaring a and squaring b.
A shortcut is to add a squared and b squared
Step-by-step explanation:
Feel free to copy and paste!! Hope this helps!! Have a great day!! : )
simplify this expression: 3c + 7 - 9c
Answer:
-6c + 7
Step-by-step explanation:
To simplify this expression, you must add like terms. Because 3c and -9c both have the same variable (c), they are like terms.
3c + (-9c) = -6c
The 7 stays the same, so the simplified expression is -6c + 7.
Hope this helped :)
Which equation represents a line that is perpendicular to y=x?
A.
y=2x
B.
y=−x+6
C.
y=−2x
D.
y=x+1
Answer:
B
Step-by-step explanation:
The general equation of a straight line can be represented as;
y = mx + b
where m is slope
If two lines are perpendicular, the product of their slopes will be -1
So since the slope of the first line is 1, then the slope of the second line will be -1
Out of all the options, only have its slope as -1 and this y = -x + 6 and this is our answer
What is the x-intercept of the graph that is shown below?
4
8 2
5 4 -3 -2 -14
1 2 3
X
2
3
4
45
O (-3, 4)
(0, 2)
O (2,0)
(3,0)
(0, 2) is the y intercept of the given graph, option B is correct.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The line is passing through the points (3, 0) and (0,2)
We have to find the slope
m=2/-3
=-2/3
Now let us find y intercept
0= -2/3(3) +b
b=2
Hence, (0, 2) is the y intercept of the given graph, option B is correct.
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PLEASE HELP!! WILL MARK BRAINLIEST :))
Answer:
It would be the third one (x, y) for all real numbers
help pls im so confused
Answer:
C
Step-by-step explanation:
A to B
A line segment is when two dots are connected with a solid line.
A to C is incorrect because it has arrows.
Tom rolls a fair dice and flips a fair coin.
What is the probability of obtaining a number bigger than 2 and a head?
Answer:
1/3 or 33.33333333%
Step-by-step explanation:
The chance of getting a head in the coin flip is 1/2 or 50%.
The chance of getting a number bigger than 2 (3,4,5,6) is 4/6 or 2/3 or 66.6666666666%. (There are a total of four possibilites in six.)
Hence, 50% * 2/3 = 33.333333333333%.
Hope this helped!
As an estimation we are told 5 miles is 8 km.
Convert 42.5 miles to km.
Answer:
the answer is 68km.
Step-by-step explanation:
Answer:
42.5 miles is about 68km
multiply 42.5 by 8/5 and you have your answer
Find the rate of change
(Pls help!)
Answer: 11.5
Step-by-step explanation:
It’s delta y over delta x so you would take any two combination of coordinates and subtract and divide. I used 57.50-23 over 5-2... this gets you 34.5 over 3. This is also equal to 11.5 :)
its one in the morning and i cant sleep
Answer:
hey how r u doing ?
Step-by-step explanation:
........aags
Answer:
its 2:14 and I'll never sleep
What's 2(a-2)=3(a-5)
Approximate the value of the square root of 110 to the nearest hundredth
Answer:
10.4900
Step-by-step explanation:
pls make a brainliest
Use the quadratic formula to solve the equation.
5x2-3x + 1 = 0
X=
Answer:
x= 11/3
Step-by-step explanation:
Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3
Answer:
Step-by-step explanation:
|A|= 5, 2, -3, -5
|Ax|= 14, 2, 3, -5,
|Ay|= 5, 14, -3, 3
The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.
In terms of determinants, it can be written as,
[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].
[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].
[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].
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Which inequality is represented by the number line?
PICTURE ATTACHED PLEASE HELP ME!!!
Answer:
A i think
Step-by-step explanation:
cause its gonna be more than 6- so yeah if it is right then b
The perimeter of the rectangle is 42 inches. Find the value of x.
Answer:
x=3
Step-by-step explanation:
(5x*2)+ ((x-3)2)=42
10x+2x-6=42
12x-6=42
-6 -6
12x=36
x=3
Answer:
x=3
Step-by-step explanation:
(5x*2)+ ((x-3)2)=42
10x+2x-6=42
12x-6=42
-6 -6
12x=36
x=3
100 % if my grade and giving brainliest if answered correctly please helppp im failing
Answer:
Hope I'm not too late for this...
(look below)
Step-by-step explanation:
For the first part:
1. b = -1, m = 2
The y-intercept (b) is the value of y when x = 0. In this case, we can see that when x = 0, y = -1 so the y-intercept is -1.
The slope was found using the equation slope (m) = (y2-y1) / (x2-x1) and two points. (Note, you can choose any two points, I just chose the first two.)
(5,9) (-2,-5)
slope = (y2-y1) / (x2-x1)
slope = (-5-9) / (-2-5)
slope = -14/-7
slope = 2
I used the same steps as shown above:
2. b = 2, m = -3
For the second part:
1. y = 2x - 1
2.y = -3x + 2
I basically plugged in the values for m and b into the equation, y = mx + b.
Graphs:
The way to graph a line is to plot at least two points and draw a line through them. You can graph it using either the equation or the table. I used the table since it is much easier to find the points that I need.
Below I have included references to what the graph should look like if you need to check your work.
The one in blue is for the equation y = 2x - 1. This should help you get a visual of what the correct graph looks like.
The one in green is for the equation y = -3x + 2.
I hope this helped!
Kendra posts a photo on her social media account.In the first hour, 2 friends share the photo.In the second hour, each of those friends has 2 friends who share the photo.The pattern continues. How many photos do people share in hour
1. 32
2. 64
3. 12
4. 9
Answer:
Step-by-step explanation:
The answer is 64 because If you multiply 2x2x2x2x2x2 It equals 64
If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2
Answer:
p = 304
Step-by-step explanation:
Given p is inversely proportional to q² then the equation relating them is
p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion
To find k use the condition p = 19 when q is 8, then
19 = [tex]\frac{k}{8^2}[/tex] = [tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )
k = 1216
p = [tex]\frac{1216}{q^2}[/tex] ← equation of proportion
When q = 2, then
p = [tex]\frac{1216}{2^2}[/tex] = [tex]\frac{1216}{4}[/tex] = 304
The value of p is equal to 304 when q is equal to 2
Given :
If p is inversely proportional to the square of q
when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]
given that p is inversely proportional to the square of q. the equation becomes
[tex]p=\frac{k}{q^2}[/tex]
when p is 19 the value of q is 8
Replace the values and find out k
[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]
Multiply both sides by 64
k=1216
Now we find out p when q is 2
Replace k value and q value to find out p
[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]
The value of p is equal to 304 when q is equal to 2
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solve: -3 |x-3| = -6
how do i solve absoulute value ?
Answer:
x=5,1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
I need help for the slope:
Plz help meee
Answer:
slope = 3
Step-by-step explanation:
slope = 3/1
.......
......
GCF of 50 and 100 is..
Answer:
GCF of 50 and 100 is...
50
Mr. Ash owns a tree, which is 42 feet tall. He estimates that this tree is 75% as tall now as it will be when fully grown. How tall will the tree be when it is fully grown?
Answer:
73.5 feet
Step-by-step explanation:
The length of a tree =42 feet
Mr. Ash estimates that this tree is 75% as tall now as it will be when fully grown.
We need to find the length of the tree when it is fully grown. It means we need to find the 75% of 42 and adding 42 to it as follows :
[tex]T=75\%\times 42+42\\\\=\dfrac{75}{100}\times 42+42\\\\=73.5\ ft[/tex]
So, the tree will be 73.5 feet tall when it is fully grown.
Sal needs 3 quarts of blue paint and 2 quarts of white paint to paint his room. How many quarts of blue paint will he need to paint his parent's room, if he needs 6 quarts of white paint?
Answer:
9 quarts of blue paint
Step-by-step explanation:
the ration is 3:2
2 times 3 is 6, so multiply the 3 from the blue paint to 3 as well
The temperature in Anchorage, Alaska was -3°C in the afternoon. After the sun went down, the temperature dropped 6 degrees. Write an equation to represent the situation. What was the temperature after the sun went down? ( 3 points )
Answer:
-9
Step-by-step explanation:
-3 - 6
-3 + -6
-9
hope this helps!
Please help me, This is the only question I don’t understand pleas help me I would really appreciate it thank you!
Answer:
C
Step-by-step explanation:
A proportional equation is in the form:
[tex]\displaystyle y=kx[/tex]
Where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.
An important aspect of a proportional equation is that it passes through the origin. That is, it has no y-intercept (or a constant value).
From our choices, the only choices that don’t have y-intercepts are C and D.
However, D is not a linear function.
Therefore, our answer is C.
And our constant of proportionality is 1/2.
What’s the rate of change of y=5.75x-2.5(x-2)
if there are 90 calories in 3/4 of yogurt, how many calories are in 3 cups of yogurt?
Answer:
360
Step-by-step explanation:
3 divided by 3/4=3 times 4/3=4
4 times 90=360